{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 0, 2],\n [-1, 1, 2, 4],\n [0, 2, -4, 1],\n [2, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, -1, 0],\n [0, -4, 0, 0],\n [-1, 0, -4, -1],\n [0, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "905", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 0, 2],\n [-1, 3, 2, 3],\n [-4, 1, 0, -3],\n [-3, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5776", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -1, 3],\n [2, 4, 0, 2],\n [-1, 0, 4, 0],\n [3, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15012", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, 2, -2],\n [0, -1, -4, -3],\n [-4, 2, -4, 1],\n [2, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2, -2],\n [0, 3, -4, -2],\n [-2, -4, -4, 1],\n [-2, -2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1208", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 2, 0],\n [2, 1, 4, 1],\n [2, 4, 1, -2],\n [0, 1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "456", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, 0, -2],\n [-1, 0, -1, 1],\n [0, -1, -4, -2],\n [-2, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1635", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-4, 0, 0, -1],\n [0, 4, -2, -4],\n [0, -2, 3, 2],\n [-1, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 0, 1, -2],\n [-3, 0, -2, 3],\n [3, -2, 4, 2],\n [4, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -4, -3, -1],\n [4, 4, 0, 4],\n [-1, -1, -1, 1],\n [1, -4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "740", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, -1, 0, 4],\n [-4, -3, -2, 4],\n [-3, 0, 2, -1],\n [0, 2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, -2, 1],\n [3, -1, 3, -1],\n [-4, -1, 3, 1],\n [-4, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -4, -4],\n [-4, 4, -4, -2],\n [-4, 0, -3, 3],\n [0, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2010", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, -2, 0, -1],\n [-2, 4, -2, 0],\n [0, -2, -3, -4],\n [-1, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 2, 0],\n [-4, 0, 3, 1],\n [1, -4, 3, 0],\n [-1, 4, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "761", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 1, 0],\n [2, -3, -2, -2],\n [1, -2, -1, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "979", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, -3, 2, -2],\n [-2, 2, -1, 2],\n [0, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1166", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-3, 2, 3, -2],\n [2, 2, 1, 4],\n [3, 1, 3, -2],\n [-2, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-3, 2, -2, 0],\n [2, 1, -2, 1],\n [-2, -2, 1, 1],\n [0, 1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -2, 2],\n [3, -2, -3, 2],\n [-1, -3, 4, -1],\n [3, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1374", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, 2, 0],\n [-2, 0, 3, 0],\n [2, 3, 3, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 2, 0],\n [2, -2, 1, 4],\n [2, 1, 3, 0],\n [0, 4, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1055", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, -2, -4, -1],\n [1, 4, 0, 3],\n [-1, 1, 3, 0],\n [3, -1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, 3, -2, -3],\n [3, 3, 0, 4],\n [-2, 0, 2, -2],\n [-3, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1076", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, -2, -4],\n [1, -4, 0, -2],\n [4, 4, -2, -2],\n [-3, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "673", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 4, -2, 0],\n [4, 0, -2, 4],\n [-2, -2, 2, 0],\n [0, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7488", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, 3, 2, -4],\n [-3, 1, 0, 0],\n [4, 0, 1, -2],\n [1, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, 0],\n [2, 1, 1, 0],\n [0, 1, -2, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, -3, 2],\n [-2, -3, 4, 0],\n [2, -1, -1, 4],\n [-4, -2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2943", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 2, 3],\n [0, 2, 0, -2],\n [2, 0, -2, 1],\n [3, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2940", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 2, 3],\n [2, -1, -2, 2],\n [2, -2, -1, -2],\n [3, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1272", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, 1, -2, 3],\n [-2, 2, -2, -1],\n [3, 2, 2, 4],\n [-1, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, -4, 1],\n [0, 1, -1, 4],\n [1, 0, -3, 1],\n [2, 0, -3, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, -1, 2],\n [0, 2, 0, 0],\n [-1, 0, -2, 2],\n [2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 1, 0],\n [-2, 4, 2, 0],\n [1, 2, 1, -2],\n [0, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -3, -1],\n [1, 2, 4, 0],\n [-3, 1, 2, -2],\n [0, -4, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1027", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 0, 3],\n [-2, 2, 3, -4],\n [4, -2, 2, -4],\n [3, 3, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, -2],\n [0, -1, -2, -1],\n [-1, -2, -4, 2],\n [-2, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1305", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, -2, 4],\n [3, 1, -1, 0],\n [-2, -1, 3, -2],\n [4, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10179", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, -2],\n [-2, -3, 2, 2],\n [0, 2, 4, -2],\n [-2, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-459", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-3, 0, 0, 4],\n [0, -4, -2, 0],\n [0, -2, 4, 0],\n [4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, -3, 0],\n [1, 4, 0, 2],\n [-3, 0, 1, 1],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "484", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, 2, 1, -2],\n [2, -4, -1, 0],\n [1, -1, 1, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -3, 3],\n [1, -1, 1, -3],\n [4, 3, 2, 2],\n [1, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1533", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 2, -4],\n [-4, 1, 3, -2],\n [2, 2, 2, 4],\n [1, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1076", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -3, -4],\n [-3, 4, 0, -3],\n [-1, 4, 4, -2],\n [1, -3, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, -1],\n [2, -1, -2, -1],\n [-2, -2, 4, -4],\n [-1, -1, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5473", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, -2, -1],\n [1, -4, 1, -2],\n [-2, 1, 1, 0],\n [-1, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4505", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -3, 0, 0],\n [-3, 0, -2, -2],\n [0, -2, 3, 2],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, -1, 0],\n [-1, 4, 4, 2],\n [-1, 4, -1, 0],\n [0, 2, 0, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, -4, 4],\n [0, 4, 4, 3],\n [0, -2, 3, -1],\n [-2, -4, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2086", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, -4, -2],\n [3, -2, -4, 0],\n [1, -4, 0, -2],\n [2, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5360", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -4, 0, 4],\n [-3, -2, 2, 0],\n [-1, -2, -3, -1],\n [-3, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6007", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, 1, 2, 0],\n [1, -4, -3, -3],\n [2, -3, 1, 0],\n [0, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1563", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 3, -4],\n [-4, 4, 1, 3],\n [1, -2, 3, -4],\n [-4, 4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, 0, 0],\n [2, -1, 0, -4],\n [0, 0, -1, -2],\n [0, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4660", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, 0],\n [0, -2, -1, 0],\n [-2, -1, -2, -2],\n [0, 0, -2, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, -2, 1],\n [0, -3, 2, 0],\n [-2, -1, 2, -2],\n [3, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, -2, 0],\n [-2, -3, 1, 0],\n [-2, 1, 4, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-4, 2, 0, -1],\n [2, 1, 2, -2],\n [0, 2, 4, 1],\n [-1, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -4, 0],\n [0, 2, 0, 0],\n [-4, 0, 2, -2],\n [0, 0, -2, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-996", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[2, 0, -1, -4],\n [1, 2, -1, 3],\n [0, -4, -1, -4],\n [-4, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2, 3],\n [3, -2, -2, -4],\n [2, -1, 2, 0],\n [4, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "642", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, -3, 1, 2],\n [-3, 3, 0, -1],\n [1, 0, -2, 2],\n [2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "559", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, -3],\n [-3, 2, 4, -2],\n [-1, 4, -4, 1],\n [4, 3, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -2, -3],\n [2, -4, 0, -3],\n [1, 0, -1, 2],\n [4, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -3, -3],\n [4, 2, 2, 2],\n [-4, 4, -2, 4],\n [2, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, 2],\n [2, 2, -2, 4],\n [0, -2, -3, 1],\n [2, 4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7672", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, -1, -1],\n [-1, 1, 2, -3],\n [-3, -3, 2, 4],\n [-1, -4, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5381", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 0, -2],\n [0, 4, -2, 0],\n [0, -2, 3, -3],\n [-2, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-2, -2, -3, 1],\n [-4, 0, -4, -1],\n [-3, 3, -2, -1],\n [-1, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, 2, -2, 2],\n [2, 3, 3, 2],\n [-2, 3, 4, -4],\n [2, 2, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 4, -3],\n [4, 1, -1, 1],\n [0, -3, -1, 2],\n [-4, 4, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -3, -3],\n [0, 1, 0, 3],\n [-3, 0, -3, 1],\n [-3, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, -2, -4],\n [0, -4, -3, 0],\n [-2, -3, 0, 2],\n [-4, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9802", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, -1, 4],\n [-3, 0, 0, 3],\n [-2, -1, 2, 4],\n [4, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -2, 2],\n [2, 2, 0, 2],\n [-2, 0, -3, 1],\n [2, 2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1047", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, 3, -4],\n [4, 3, 1, 3],\n [2, -3, 0, 1],\n [1, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-930", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -2, -4],\n [2, -1, 2, 2],\n [-2, 2, -2, -2],\n [-4, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4430", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, 0, 1],\n [3, -3, -1, 1],\n [0, -1, 1, -1],\n [1, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2654", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, 4, 1],\n [1, 1, -1, 3],\n [-1, -3, 1, 0],\n [-3, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "394", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 1, 1],\n [-4, -1, 3, -1],\n [1, -4, 4, 4],\n [3, 2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2147", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 0, -1],\n [2, -1, -2, 0],\n [0, -2, -2, 0],\n [-1, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "295", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 2, 2],\n [0, -3, 0, 4],\n [2, 0, 3, -4],\n [2, 4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 4],\n [0, 3, -1, 0],\n [0, -1, -1, 4],\n [4, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6496", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 2, -3],\n [0, 3, 4, 0],\n [2, 4, -3, 1],\n [-3, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "888", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, -2, 2],\n [3, -2, -4, 1],\n [-2, -4, -4, 0],\n [2, 1, 0, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1338", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, 2, 0],\n [-3, 3, 0, 4],\n [-3, 3, -1, 4],\n [3, 2, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -4, 2],\n [-1, -1, -2, 0],\n [-4, -2, -4, -2],\n [2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-988", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, -1, 4],\n [3, -2, -4, 0],\n [-1, -4, 3, 0],\n [4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1293", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, -2, 2],\n [-1, -3, 2, -4],\n [-2, 2, 1, 0],\n [2, -4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[2, 4, 0, -2],\n [4, -3, 0, 0],\n [0, 0, 4, 2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-368", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, 0, 1],\n [3, -1, 0, 0],\n [0, 0, 3, -4],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, -2, -1],\n [-2, 0, -2, -2],\n [-2, -2, 2, 1],\n [-1, -2, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5476", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 3, -1],\n [2, -2, 3, 1],\n [3, 3, -1, 2],\n [-1, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "631", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[1, 1, -2, 0],\n [1, 0, -1, -1],\n [-2, -1, 4, -2],\n [0, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[3, 3, -4, -2],\n [1, -3, 3, -3],\n [-3, 1, 2, 0],\n [4, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, -4, -2, 0],\n [-4, 1, 2, 2],\n [-2, 2, 0, 0],\n [0, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 3, 0],\n [0, 4, 0, 2],\n [2, 0, 1, -3],\n [1, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2471", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0, -1],\n [4, -2, -2, -3],\n [1, 0, -4, 4],\n [-3, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1101", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -2, 2],\n [-2, 0, 1, -4],\n [-2, 1, -1, 2],\n [2, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1575", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, -2, 2, 2],\n [-2, -2, -2, 0],\n [2, -2, -4, 1],\n [2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "714", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, -3, -3, 1],\n [-1, 0, 0, 0],\n [1, -4, -4, 4],\n [-2, 3, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -1, 0],\n [2, -1, -3, 0],\n [-1, -3, 4, 4],\n [0, 0, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1864", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 3, 1],\n [1, 1, 0, 2],\n [3, 0, 2, 0],\n [1, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3852", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 0, 2],\n [-4, 4, 3, -3],\n [-4, -1, -1, 4],\n [-2, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5661", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, 1, 0],\n [-3, -2, 0, 1],\n [1, -2, -3, 2],\n [-1, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 2, 1],\n [-2, -1, -2, 0],\n [2, -2, -3, 0],\n [1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1919", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, 0, 0, -3],\n [0, -3, 1, 2],\n [0, 1, 3, 0],\n [-3, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, 2, 3, 0],\n [2, -4, -1, -3],\n [3, -1, 1, 0],\n [0, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-471", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -1, -2],\n [2, 0, 2, 2],\n [-1, 2, 1, 2],\n [-2, 2, 2, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, -2, 3],\n [2, 0, 3, -4],\n [0, 1, 0, 1],\n [3, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1050", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 1, -2],\n [1, 0, 0, 4],\n [1, 0, -3, 2],\n [-2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1784", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, 2, -2, -1],\n [4, 0, 4, -2],\n [-2, 2, -3, 2],\n [-1, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-314", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, -2, 2],\n [1, 0, 1, 1],\n [-2, 1, 2, -1],\n [2, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1134", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[4, 1, 0, -2],\n [1, 2, 0, 3],\n [0, 0, 1, 0],\n [-2, 3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -2, -3],\n [-3, 0, -3, 0],\n [4, 0, -4, 4],\n [4, -2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "786", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 4, 4],\n [1, 1, 0, 0],\n [4, 0, 0, 0],\n [4, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, -3, -1],\n [4, 4, 2, -3],\n [-3, 3, 0, 3],\n [-4, -1, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "570", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 2, -4],\n [-2, 4, -3, 3],\n [0, -1, 2, 2],\n [2, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, 0, 0, 1],\n [0, -4, 4, -2],\n [0, 4, 2, 2],\n [1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-238", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 4, -1],\n [0, -2, 1, -2],\n [4, 1, -2, 0],\n [-1, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "950", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, -3, 0],\n [-3, 2, -2, -1],\n [-3, 4, 3, 3],\n [2, 3, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4322", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -1, -3],\n [-3, -4, -3, 2],\n [-1, -1, -4, 1],\n [3, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11700", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -1, 1, 0],\n [-2, 0, 2, 1],\n [-4, -3, -3, 0],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, -4, 0, -1],\n [0, 0, 0, -4],\n [0, -1, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 0, 3],\n [-1, -3, -2, 2],\n [0, 2, 4, 1],\n [1, -2, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, -2, 0, 2],\n [-2, 0, 4, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6272", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, 2, -1],\n [2, -1, -1, -1],\n [2, -1, 0, -1],\n [-1, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "361", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -1, -2],\n [2, -3, 2, -4],\n [-1, 2, -4, -1],\n [-2, -4, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 3, -2, 1],\n [1, 1, -2, 0],\n [-2, 0, -2, -1],\n [-2, 3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 4, 1],\n [0, 1, -1, 1],\n [-3, 4, -4, -1],\n [-4, -2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "517", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 0, 2, 4],\n [0, -4, 0, 2],\n [2, 0, -4, 2],\n [4, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, -1, 0],\n [-1, -2, 0, 4],\n [-1, 0, 3, 4],\n [0, 4, 4, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 4, 3],\n [-3, 4, 4, 3],\n [-3, -4, -2, 1],\n [-2, -3, 1, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 1, 3],\n [-3, 1, -1, -1],\n [-4, 1, 1, 1],\n [-2, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[4, -4, 0, 0],\n [-3, 2, 2, -1],\n [0, -4, -4, 1],\n [2, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, 1, 1, 0],\n [1, -4, 0, 0],\n [1, 0, 0, 0],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, 2, 3],\n [1, 2, 4, 3],\n [4, -3, -1, 2],\n [-4, -3, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1228", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 4, 4, -1],\n [1, 1, -3, -4],\n [2, -2, -4, 1],\n [-3, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "975", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, 1, -4],\n [0, 2, -2, -1],\n [1, -4, 4, -4],\n [-3, -1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, -1, 2],\n [4, 1, 1, 2],\n [-1, 2, 2, 0],\n [3, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1068", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -1, 3],\n [-2, -3, 4, 2],\n [-1, -4, -2, 1],\n [1, -1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-796", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-2, 2, 3, 3],\n [0, 1, 1, -4],\n [2, -2, 0, 2],\n [-4, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -1, -3, -4],\n [0, 2, 3, -4],\n [0, 4, -4, 3],\n [1, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1276", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 4, 0, 0],\n [4, -1, 0, 2],\n [0, 0, -4, 0],\n [0, 2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "910", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -1, 1, 2],\n [-1, 2, 0, -1],\n [-4, 2, 0, 3],\n [2, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -2, -3],\n [3, -3, -2, -4],\n [3, 2, -3, 1],\n [4, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5372", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, -1, 2, -4],\n [3, 3, 0, -4],\n [-4, 4, 0, 4],\n [-4, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 1, 2],\n [0, -1, -2, -2],\n [1, -2, 0, 3],\n [2, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "855", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, -3, 3, -2],\n [0, 3, 1, -1],\n [-3, -4, -2, 3],\n [0, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 3, 1],\n [-4, 4, -3, -4],\n [0, 3, 3, -1],\n [0, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1105", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, 0, -3, -1],\n [-1, -3, -1, 0],\n [-2, 2, 0, 0],\n [-2, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, -2, 4],\n [0, -4, 4, 1],\n [-2, 4, -2, 0],\n [4, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 0, 2],\n [-1, 0, 0, 2],\n [0, 0, -4, -2],\n [2, 2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "658", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, -4, 1],\n [2, 0, -3, -4],\n [-2, 4, 4, -4],\n [-4, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7640", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, -1],\n [-2, -1, 3, -2],\n [0, 3, -4, 2],\n [-1, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, -4, 0],\n [2, 3, 0, -4],\n [-4, 0, 2, 0],\n [0, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14693", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, -3, -4],\n [0, -2, 4, 0],\n [-4, -4, -4, -4],\n [-4, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2958", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 3, 0],\n [-3, -3, -4, -1],\n [-4, 0, 2, -3],\n [-1, -2, 0, -2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 4, 4, -2],\n [-3, 1, -1, 4],\n [1, 2, 0, 3],\n [0, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "793", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -2, 0],\n [2, 2, 0, 0],\n [-2, 0, 4, 0],\n [0, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -4, 0, 0],\n [-4, 0, 2, -2],\n [0, 2, -2, -2],\n [0, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3634", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -1, -1],\n [-1, 2, 4, -1],\n [2, -1, -4, 4],\n [2, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1272", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 3, -4, 4],\n [0, -3, 1, -2],\n [0, 1, -2, -4],\n [2, -1, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1524", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -4, 0, 4],\n [-4, 0, 0, 0],\n [0, 0, -4, 2],\n [4, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2784", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, -2, -3],\n [0, 0, 4, 0],\n [-2, 4, -1, 2],\n [-3, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5329", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -3, -2],\n [0, 4, 2, 3],\n [-3, 2, 3, 4],\n [-2, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2776", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, -3, -4],\n [1, -4, -4, -4],\n [0, -2, 3, 2],\n [4, -3, -4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 2],\n [0, 1, -4, 0],\n [0, -4, -1, 0],\n [2, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "612", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 2, 4],\n [-1, -4, 2, -3],\n [-3, 1, 1, 3],\n [0, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, 1],\n [-2, -1, 0, 0],\n [0, 0, -2, 0],\n [1, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, -2],\n [2, 3, 0, -2],\n [-2, 0, 3, 0],\n [-2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, 0],\n [0, 2, -2, 1],\n [-2, -2, -4, 3],\n [0, 1, 3, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, 0],\n [-1, -2, -2, -2],\n [3, 4, 2, 3],\n [1, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1020", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -2, -1],\n [3, 0, 0, 4],\n [-2, 0, -1, 3],\n [-1, 4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3426", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 1, 2, -3],\n [1, 3, 0, 1],\n [2, 0, 0, 2],\n [-3, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1180", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, -4, -2],\n [-2, -4, 2, 0],\n [-4, 2, 3, -4],\n [-2, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1107", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, -4, -3, 3],\n [-4, -1, 4, 2],\n [-1, 2, 3, 3],\n [-1, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1648", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[4, 3, 4, 1],\n [1, -2, -1, -2],\n [0, 2, -3, 0],\n [-3, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -4, 3],\n [2, 1, 3, 2],\n [-1, 1, 3, 4],\n [2, -1, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "846", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, -2, -1],\n [-3, -1, 4, -3],\n [-2, 4, 1, 0],\n [-1, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -2, 4],\n [2, 0, 0, 2],\n [-2, 0, 4, -2],\n [4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "866", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-1, 3, -4, 2],\n [1, 4, 2, -3],\n [2, 1, -2, -1],\n [-3, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 2, 1],\n [4, 1, -3, -2],\n [1, -4, -3, 1],\n [3, -1, 2, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -1, 0, 1],\n [-1, 0, 0, -3],\n [0, 0, 0, 0],\n [1, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-251", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, -2],\n [0, -2, 2, 1],\n [0, 2, 0, 2],\n [-2, 1, 2, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -2, -3, 3],\n [1, 3, -2, 1],\n [-1, -4, 0, -4],\n [2, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 4, 4, -3],\n [1, 2, 4, -4],\n [-4, -3, -4, -4],\n [0, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1442", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -4, 3, -1],\n [-3, -3, -3, 4],\n [2, 3, 0, 4],\n [1, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "763", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 1, 0, -2],\n [1, 3, -4, 0],\n [0, -4, 2, 1],\n [-2, 0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6594", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 1, 2],\n [0, 3, -4, -2],\n [1, -4, 4, -1],\n [2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -3, 2],\n [4, 2, -3, 1],\n [2, 4, -2, 4],\n [3, 3, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 3],\n [-2, 3, 3, -2],\n [0, 3, 2, 0],\n [3, -2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1102", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, 0, 4],\n [-1, -3, 2, 1],\n [3, 3, -1, 4],\n [-3, -4, -1, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 4, -4, 3],\n [4, 1, 0, 2],\n [-4, 0, -1, 1],\n [3, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8165", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, -4, 0],\n [2, -4, -1, -4],\n [-4, -1, 0, 2],\n [0, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -2, -2],\n [-2, 3, -3, 2],\n [-2, -3, -4, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11523", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 3, -4, 3],\n [2, 0, 3, -4],\n [0, 4, 1, 3],\n [-3, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 0, 2],\n [2, 2, -4, -2],\n [0, -4, -2, -2],\n [2, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2672", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-2, -2, 1, -2],\n [-2, -3, 0, 0],\n [1, 0, -1, 1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, 2, 0, 2],\n [2, 0, -2, -2],\n [0, -2, 4, -2],\n [2, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, -2, 0, -2],\n [-2, 3, 1, 3],\n [0, 1, -2, 1],\n [-2, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, -2, -4],\n [1, 1, -4, 0],\n [2, 0, 0, -2],\n [3, 1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -4, -1],\n [0, 2, 0, -2],\n [-4, 0, 2, 1],\n [-1, -2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -2, -1],\n [-1, -2, -2, 4],\n [3, 4, 0, -2],\n [0, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-623", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, 0, -2],\n [1, -1, 0, 2],\n [0, 0, 1, 0],\n [-2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 2, -3],\n [0, -4, 2, 4],\n [2, 2, 3, -1],\n [-3, 4, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1930", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 3],\n [-2, -1, 2, 0],\n [0, 2, -2, 0],\n [3, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1021", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 0, -1, 0],\n [0, 2, 0, -3],\n [-1, 0, -4, 0],\n [0, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 1, 3],\n [-2, -2, -3, -3],\n [2, -4, -2, 3],\n [4, 3, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, -3, 1, 3],\n [0, 0, -2, -3],\n [-3, 1, -4, -4],\n [0, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 2],\n [-2, -2, 1, -2],\n [0, 1, 4, -2],\n [2, -2, -2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, 3, 0],\n [-1, 0, 0, -2],\n [3, 0, -3, 4],\n [0, -2, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12295", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-2, 3, 4, -2],\n [-1, -4, -2, -3],\n [-2, 1, -3, 2],\n [-4, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 2, 2],\n [-2, -1, -4, 0],\n [2, -4, -4, -1],\n [2, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8415", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 2, 1, 2],\n [2, -1, -1, 0],\n [1, -1, -1, -2],\n [2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2658", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -1, -3],\n [2, 4, -4, 2],\n [-1, -4, -4, 2],\n [-3, 2, 2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1118", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 0, 3],\n [-4, 0, -3, 1],\n [0, 4, 1, -3],\n [1, 4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "718", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 0],\n [0, -1, 0, 4],\n [0, 0, -3, -3],\n [0, 4, -3, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, -4, 4],\n [1, -2, 3, 1],\n [-4, 0, 3, -3],\n [-3, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2794", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -2, 0],\n [-1, 0, 2, 0],\n [-2, 2, -4, 0],\n [0, 0, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-1, -2, 4, -3],\n [4, 3, 0, -4],\n [-4, -1, -1, 3],\n [3, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "710", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 1, 2],\n [-1, 1, 2, 1],\n [-2, -4, -2, 1],\n [-4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1496", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[3, -1, -3, -3],\n [4, 4, 2, 0],\n [-3, 4, 4, 0],\n [-3, 0, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 3, 0],\n [0, 1, -2, 0],\n [3, -2, 2, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3780", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, 0],\n [0, 3, 0, -3],\n [2, 0, 3, 0],\n [0, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1845", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -2, 3, 2],\n [-2, -1, 1, -1],\n [-3, -1, -4, -2],\n [-3, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -3, -3],\n [0, 3, -4, -2],\n [-1, 1, -2, 3],\n [-3, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "845", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, 1, 0],\n [0, -3, -1, 1],\n [0, -1, 3, 2],\n [4, -1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, 0, -3],\n [1, -3, -4, -4],\n [-2, 3, -4, 2],\n [1, -1, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2048", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-2, 0, 3, 2],\n [0, 3, -2, -2],\n [3, -2, 3, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 2, 4],\n [2, -1, 1, 3],\n [3, -4, 1, -4],\n [3, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6220", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 4, 1],\n [-3, 1, -2, 1],\n [-3, -2, 3, 0],\n [1, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-406", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 0, -2],\n [0, -1, -2, 1],\n [0, -2, 2, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "401", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-2, 1, 0, 4],\n [1, 3, -4, -2],\n [0, 0, 1, 4],\n [1, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 1, 0],\n [0, 2, 1, -3],\n [1, 1, 2, -4],\n [0, -3, -4, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 1, -1],\n [2, 0, -1, 0],\n [1, -1, -4, 0],\n [-1, 0, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, 0],\n [0, -4, 0, -2],\n [0, 0, 3, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, 2, 4],\n [1, -3, 4, -1],\n [-2, -4, 2, 1],\n [-1, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "490", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, 1, 1],\n [-1, -3, -1, -4],\n [4, -2, -4, 0],\n [4, -1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4849", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 3, 2],\n [-2, 1, 0, 4],\n [3, 0, 2, -1],\n [2, 4, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "733", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 0, -1],\n [1, -3, -3, 0],\n [0, -3, 0, 1],\n [-1, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -1, 2, 0],\n [-1, 3, 1, 0],\n [2, 1, -4, 1],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -3, 0],\n [2, 3, 1, 0],\n [-3, 1, -1, 2],\n [0, 0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "561", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 0, 2],\n [-2, 1, -2, 0],\n [0, -2, 3, 0],\n [2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[4, 2, 2, -2],\n [2, 3, -2, -2],\n [2, -2, -2, 0],\n [-2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 3, 0],\n [2, 1, -4, 4],\n [3, -4, -4, -1],\n [0, 4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13885", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 3, 2],\n [-2, -4, -1, 3],\n [-1, 4, 3, -4],\n [1, 2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, 3, 4],\n [4, -4, -4, -3],\n [-3, -4, -2, -4],\n [2, -1, 3, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "896", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-3, 1, -4, 1],\n [1, 1, -2, -2],\n [-4, -2, 4, 0],\n [1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "361", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 2, -2],\n [2, 4, 0, 4],\n [2, 0, 1, 0],\n [-2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "826", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 2],\n [0, -2, 0, -1],\n [0, 0, 2, 4],\n [2, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1139", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, 4, 1],\n [-3, 0, 2, 4],\n [1, 3, 2, -4],\n [1, 4, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -3, 4],\n [2, -3, 0, 0],\n [-3, 0, -3, 2],\n [4, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1700", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 2, -1],\n [2, -4, 2, -2],\n [2, 2, -1, -2],\n [-1, -2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "873", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, 3, 2],\n [0, 0, 0, 4],\n [-1, 0, 1, 4],\n [3, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, -4, -1],\n [-4, -4, -4, -3],\n [-1, -1, -4, 0],\n [-4, 1, -1, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-761", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -1, 0],\n [0, 1, 0, 0],\n [-1, 0, 1, 0],\n [0, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -2, -1],\n [4, -2, 1, 1],\n [-4, -3, 0, -4],\n [-4, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3542", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-4, 4, -4, -4],\n [0, -2, -2, -2],\n [-1, 2, -1, 2],\n [-1, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[4, -2, 2, -1],\n [-2, 4, 0, 1],\n [2, 0, 0, 0],\n [-1, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-914", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 4, -1],\n [0, 2, 0, 0],\n [4, 0, -2, -2],\n [-1, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, 3, 3],\n [3, -1, -1, -3],\n [-4, 3, 0, 0],\n [0, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 2],\n [-2, -2, -2, -4],\n [-2, -2, 2, 0],\n [2, -4, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1035", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 1, 0, 0],\n [1, 0, -2, 0],\n [0, -2, -1, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-4, -3, 4, 1],\n [4, 2, 0, -2],\n [-1, -1, -4, 0],\n [-1, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, -4, -3],\n [-2, -4, -2, 0],\n [-4, -2, -1, 0],\n [-3, 0, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-925", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, -3, -2, 0],\n [-3, 3, 2, -2],\n [-2, 2, -1, 1],\n [0, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, -2, -2, -2],\n [-2, 3, 1, 0],\n [-2, 1, 4, -1],\n [-2, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, 4, 0],\n [-1, 2, -1, 0],\n [4, -1, -4, 2],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, -4, 3],\n [4, -4, -2, -4],\n [2, 0, -1, -3],\n [4, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8522", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, -1, 1],\n [0, -3, 3, 1],\n [-1, 3, -1, 2],\n [1, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 1],\n [-2, 3, 0, -3],\n [0, 0, -1, -2],\n [1, -3, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "962", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -1, -4],\n [0, 2, 3, -3],\n [4, 0, -4, -4],\n [4, 4, -3, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[4, 1, -4, -4],\n [1, 1, 0, -2],\n [-4, 0, -1, 0],\n [-4, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0, 1],\n [-2, 0, -1, -2],\n [0, 3, -2, -3],\n [-4, -3, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, 2],\n [-2, -4, 1, 2],\n [2, 1, -1, 0],\n [2, 2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1411", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, -3, 3],\n [1, 4, 4, 4],\n [-1, -4, -1, 4],\n [0, 1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -2, 0],\n [-2, 3, 0, 2],\n [-2, 0, -2, 2],\n [0, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, -4, 1],\n [-4, 2, 3, -4],\n [1, 3, -3, 1],\n [-4, -3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -4, -2, 3],\n [-4, -4, -3, -4],\n [-1, -2, -1, -4],\n [0, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1446", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, 4, 0],\n [2, 1, -4, -2],\n [3, 0, 3, 2],\n [2, -3, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11584", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, -1, 3, 1],\n [-4, 4, 4, -4],\n [0, -3, -1, -1],\n [-1, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-1, 3, 4, 2],\n [4, -1, -1, -3],\n [2, -3, -2, -4],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[3, 0, 0, 4],\n [0, 1, -2, 2],\n [0, -2, 3, -2],\n [4, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1616", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 0],\n [-2, -4, -1, -1],\n [0, -1, 0, 0],\n [0, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3700", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -1, 3],\n [-4, 1, 3, 2],\n [-4, 1, -2, 2],\n [3, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1495", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 4, -4, -3],\n [4, -3, -2, 4],\n [2, -4, 2, -3],\n [-3, 3, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -4, 2, -1],\n [0, 0, -2, -1],\n [-3, -1, -1, 1],\n [-4, -3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2464", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -4, -3, -2],\n [-4, -3, 0, -1],\n [-3, 0, 1, 4],\n [-2, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2106", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, -1, 1],\n [-1, 3, 4, -3],\n [-1, -3, -1, 2],\n [-1, 4, 2, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, -4, -2, -1],\n [4, 1, 3, -1],\n [2, 1, -2, 4],\n [-4, -4, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, -2],\n [0, -2, -2, 0],\n [0, -2, 2, 2],\n [-2, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[4, 1, -1, -2],\n [1, 0, 0, 0],\n [-1, 0, -4, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, 0, -2, -2],\n [0, -3, 0, -2],\n [-2, 0, 0, -1],\n [-2, -2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[1, -4, 3, -3],\n [-4, -4, 1, 1],\n [-2, 4, -4, -2],\n [4, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, 1, -2],\n [1, -2, 2, -3],\n [-4, -1, 0, -1],\n [4, 0, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8588", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 0, 0, 0],\n [0, -1, 2, 0],\n [0, 2, -2, 1],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 1, 0, 0],\n [1, -4, -2, 2],\n [0, -2, 2, 4],\n [0, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, 0, -4, -1],\n [0, 1, 0, 1],\n [-4, 0, 3, 3],\n [-1, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-538", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, -2, 2],\n [2, 1, -2, 0],\n [-2, -2, 1, -2],\n [2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13231", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 1, -2],\n [0, 4, 2, 2],\n [1, 2, -1, 1],\n [-2, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3022", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -3, -1, 2],\n [-1, 0, -4, 0],\n [-4, 3, -2, 0],\n [4, 1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[1, 0, 2, 1],\n [0, 0, 1, -3],\n [2, 1, 1, 1],\n [1, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "915", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 4, -3, -4],\n [4, 0, -2, -2],\n [-2, 2, 0, -3],\n [-3, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 0, -3],\n [2, -3, 3, 0],\n [0, 4, -4, 3],\n [-3, 3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1358", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 4],\n [1, 0, -2, 4],\n [2, -4, -3, 1],\n [-3, -1, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, -2, 0],\n [2, -4, 3, -2],\n [-2, 3, -1, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10349", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -2, 0],\n [2, 1, 0, 2],\n [-2, 0, 2, 2],\n [0, 2, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "712", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, -2, 4],\n [-4, -1, 1, -1],\n [-2, 1, 1, -3],\n [4, -1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2060", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 0, -1, 2],\n [-3, -4, -3, 3],\n [2, -2, 3, 1],\n [-2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, 0, -2],\n [2, -4, 2, -2],\n [0, 2, 0, 0],\n [-2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "521", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -1, -3, -2],\n [4, 1, -1, 3],\n [-1, -3, -2, -4],\n [2, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, -2, 0],\n [4, 4, 4, -1],\n [-2, 4, 1, -2],\n [0, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1854", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, -4, 0],\n [1, -3, -3, 1],\n [4, -1, -4, -4],\n [-1, 1, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5659", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, -2, 1],\n [2, 3, 0, 0],\n [-2, 0, -1, 1],\n [1, 0, 1, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, -1, 0],\n [2, -4, 0, 2],\n [-1, 0, 1, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, 0, -2],\n [3, -1, -4, -3],\n [0, -4, 1, 0],\n [-2, -3, 0, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "875", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-2, 2, -3, 1],\n [4, 3, 3, -1],\n [0, 3, -1, -1],\n [-1, 3, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 1, -1, 1],\n [1, 4, 0, -1],\n [-1, 0, -4, -2],\n [1, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2946", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, 0, 1],\n [3, -4, -2, 0],\n [0, 0, 3, -3],\n [-3, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-484", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, -1, 0, 4],\n [-1, -4, 1, 0],\n [0, 1, 1, 0],\n [4, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, -1, -2],\n [-2, 1, -4, 3],\n [-1, -4, 0, 1],\n [-2, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1506", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 4, 3],\n [-2, -2, 2, -4],\n [1, -2, -2, -2],\n [4, 3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "758", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, 2, 0, 0],\n [2, -2, 1, 0],\n [0, 1, -2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, -4, 3],\n [-3, -3, -4, -2],\n [4, 1, -2, -1],\n [-3, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6527", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 3, 1, -3],\n [-1, -3, 0, 0],\n [1, 3, -1, 1],\n [2, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, -3, 3],\n [-4, -2, 2, -2],\n [-3, -1, 4, 0],\n [0, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 2, -2],\n [2, -3, 2, 1],\n [2, 2, 3, 2],\n [-2, 1, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3989", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, 4, -2],\n [-4, -4, -1, 0],\n [-1, 1, -1, -2],\n [-4, 2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6946", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 4, -1],\n [-4, 4, -1, 2],\n [1, -1, 3, 4],\n [-2, 3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-245", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 0, -2],\n [0, -4, 0, 0],\n [0, 0, -3, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 0, 1],\n [1, -3, -4, 0],\n [3, 3, -2, -4],\n [2, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "755", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, 0],\n [0, -4, -3, 2],\n [-1, 0, -3, 4],\n [2, -1, 4, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 4, 0],\n [0, 2, 2, -4],\n [4, 2, 0, 0],\n [0, -4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, 1, 2],\n [-4, -4, 0, 3],\n [-3, 1, 1, 2],\n [2, 1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3617", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 4, -2],\n [1, -1, 2, 0],\n [4, 2, 4, 2],\n [-2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11841", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, -1, -3],\n [-3, 1, -1, 2],\n [-4, 3, 3, 2],\n [-2, -1, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5916", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[3, -2, -1, -1],\n [-1, -1, 4, 1],\n [0, -2, 4, 3],\n [3, 4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, -2],\n [-2, 3, -2, 1],\n [0, -2, 4, 2],\n [-2, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5777", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, -2, 0],\n [-1, -3, -1, 0],\n [-2, -1, -1, -1],\n [0, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, 4, -2],\n [-2, -3, 4, -3],\n [2, -2, 3, 1],\n [4, -1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[3, 2, 2, 1],\n [2, 2, 2, -1],\n [2, 2, -1, -1],\n [1, -1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 4, -1],\n [-1, -4, 0, -2],\n [-2, 3, -2, -4],\n [0, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2786", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, 2, 3],\n [4, -2, 0, 2],\n [2, 0, 0, 0],\n [3, 2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6074", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 2, -2],\n [0, -3, -2, 0],\n [2, -2, 4, -4],\n [-2, 0, -4, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -4, 2],\n [0, 3, -3, 2],\n [-4, -3, -2, 0],\n [2, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 2, -1],\n [0, 3, -2, -2],\n [2, -2, 1, 0],\n [-1, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -3, 4, 4],\n [2, -3, 4, 1],\n [-3, 4, 4, -4],\n [0, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "669", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[1, 0, 4, -2],\n [-1, 4, 0, -4],\n [3, 3, -2, -2],\n [4, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -2, 1],\n [0, 1, 4, -4],\n [-1, 0, 4, 4],\n [-1, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, -2, -4],\n [-3, 3, 1, 4],\n [-2, 1, -4, -1],\n [-3, -4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 0, -4],\n [1, 4, 2, -2],\n [0, 2, 1, -2],\n [-4, -2, -2, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, -2],\n [2, -3, 0, -2],\n [-2, 0, -4, -2],\n [-2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7574", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-2, -4, -2, -2],\n [0, 0, -1, 0],\n [0, -3, 3, -1],\n [-4, -2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 4, 1],\n [0, 0, 2, -2],\n [4, 2, 3, 0],\n [1, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1263", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -3, -2],\n [-2, -4, 0, -2],\n [-3, 0, -1, -2],\n [-2, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16205", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -2, -2],\n [2, -2, -2, 0],\n [-2, 4, -4, -3],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2079", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, -2, -1],\n [3, 2, -2, 1],\n [1, -4, 1, 1],\n [3, -1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-338", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[4, -3, 2, 0],\n [-2, 3, 1, -2],\n [4, 3, 3, 2],\n [0, -3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -3, -4, 0],\n [2, 1, 4, -1],\n [2, 2, -3, 0],\n [0, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -3, 1],\n [0, -1, 4, -1],\n [-3, 4, -1, 0],\n [1, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[0, -4, 3, -4],\n [1, 4, 4, 0],\n [-3, -1, 3, -2],\n [-4, -4, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -4, 4, 4],\n [-4, 4, 4, -2],\n [-1, 2, 4, 4],\n [-3, -3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11759", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, -2, -1],\n [3, 3, 1, 4],\n [1, -4, -2, 0],\n [-4, 2, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "738", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, -1, 4, 0],\n [1, 4, -4, -2],\n [-4, 4, -1, 1],\n [0, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-3, 0, 1, 1],\n [0, 4, 1, 2],\n [0, 2, 2, 3],\n [1, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 0, 3],\n [-2, 0, -3, -1],\n [0, 1, -4, -1],\n [2, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1048", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, 2, 0],\n [-3, -3, -2, 0],\n [2, -2, 1, 0],\n [0, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2398", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[4, 3, 1, 2],\n [1, -2, -4, -1],\n [4, -1, 3, 4],\n [-1, 3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-374", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, 1, -4],\n [-2, 4, 4, -1],\n [-1, 2, 1, -1],\n [1, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "457", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -1, 0],\n [3, 0, -1, 1],\n [-4, -1, 4, -3],\n [-4, -4, -1, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, -1, -2, 1],\n [-1, 1, 2, 0],\n [-2, 2, -3, -1],\n [1, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[3, -2, 2, -3],\n [-2, 2, 0, 3],\n [2, 0, -3, 0],\n [-3, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, -1, -2],\n [3, 4, 0, 2],\n [-1, 0, 1, 0],\n [-2, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3690", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, -2, 4],\n [1, -2, -2, 1],\n [1, -4, -1, -4],\n [2, -4, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "721", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, -2, -2, -2],\n [-2, -1, 0, -4],\n [-2, 0, -3, 0],\n [-2, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "440", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -4, 2, 0],\n [-4, 2, 3, -4],\n [4, 3, 0, 2],\n [2, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1773", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, 2, 0],\n [3, -1, 0, 2],\n [2, 0, 4, 4],\n [0, 2, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8522", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, 1, 3],\n [-3, 2, 2, 3],\n [2, -2, -1, 0],\n [3, 1, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[2, -3, 1, -4],\n [-3, -3, 3, 1],\n [-1, -4, 4, 2],\n [-3, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, -2, 2],\n [-2, -1, 0, -1],\n [-2, 0, -1, -2],\n [2, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2377", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, -1, -1, -1],\n [-1, 0, -2, -2],\n [-1, -2, -2, 2],\n [-1, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 0, -2],\n [0, -3, -2, 0],\n [0, -2, -1, 0],\n [-2, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, 2],\n [0, 0, 1, -3],\n [0, 1, -4, 2],\n [2, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "816", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 2, -4],\n [0, 3, 4, 1],\n [-4, 2, -4, -1],\n [-1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-770", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, -1, 2],\n [-4, -2, -3, 4],\n [-2, -4, 2, 3],\n [0, -3, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2592", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 2, -2],\n [-1, 4, -2, 2],\n [2, -2, -2, 0],\n [-2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "807", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 3, 4, -2],\n [-4, 3, -1, 1],\n [3, 3, -4, 2],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-207", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -3, 0],\n [0, 3, 4, 0],\n [-3, 4, 3, -2],\n [0, 0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, 3, 0],\n [4, -2, 1, 0],\n [3, 1, -2, -1],\n [0, 0, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2404", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 1, -2, -1],\n [1, -3, -2, 2],\n [-2, -2, -1, 1],\n [-1, 2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "631", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, 4],\n [-1, 1, -2, 4],\n [2, -4, -4, 0],\n [-3, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "580", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -4, -4, 4],\n [-2, 1, 1, 4],\n [1, 4, 0, -1],\n [2, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "565", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, -4, 0],\n [0, -3, -2, -1],\n [4, -2, 4, 2],\n [2, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -1, 2, 2],\n [-1, 2, 3, -4],\n [2, 3, -2, 1],\n [2, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -1, 0, 2],\n [4, 1, 1, 3],\n [-1, -2, 2, 0],\n [2, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-178", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 1, 2],\n [2, 1, 2, -1],\n [1, 2, 0, 2],\n [2, -1, 2, -1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -3, -1, 2],\n [-3, -1, 0, 0],\n [-1, 0, 0, 4],\n [2, 0, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2151", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, -4, -3],\n [0, -3, 2, -1],\n [0, -3, 3, 1],\n [-1, 3, 3, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 2, -3],\n [-2, 2, 2, 0],\n [2, 2, 0, -2],\n [-3, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "382", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, 4, 3],\n [1, -3, -1, -1],\n [-2, -2, 0, -3],\n [3, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-263", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, -1, 0],\n [-4, 2, 4, 1],\n [3, -1, -2, 1],\n [2, 3, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -1, 2],\n [2, -2, 0, -1],\n [-1, 0, -2, -1],\n [2, -1, -1, -3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-1, 1, -3, 4],\n [1, -1, -2, 0],\n [-3, -2, 1, 1],\n [4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, -4, -3],\n [-2, -2, 0, 2],\n [-3, -2, 1, 0],\n [1, 2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "614", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 2, -4],\n [-4, 2, -2, -4],\n [4, -2, 1, 2],\n [2, 3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "336", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -2, 0],\n [0, -3, 1, 0],\n [-2, 1, 1, 1],\n [0, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "471", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, 2, 1],\n [-1, 3, 0, 1],\n [3, 3, 4, 3],\n [1, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9338", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[2, -4, -3, 4],\n [-4, 3, -1, -2],\n [2, -2, -3, 4],\n [-2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, 0, 4, 0],\n [4, 1, 3, 1],\n [-1, -2, 3, 0],\n [3, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, -2, -2],\n [4, -3, -3, 3],\n [4, -1, 4, 1],\n [-2, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "803", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 3, 0],\n [0, -3, 0, -1],\n [3, 0, -2, 0],\n [0, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1479", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[2, -2, -2, 0],\n [-2, 3, 1, -2],\n [-2, 1, -1, 0],\n [0, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, -2, 3],\n [0, -3, -4, 3],\n [0, -2, 2, 2],\n [0, 3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "667", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, -2, 0],\n [-2, 3, 2, -2],\n [-2, 2, 3, 3],\n [0, -2, 3, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, 4, 4],\n [-4, -3, -1, -2],\n [-4, -4, 1, 3],\n [4, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "242", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 1, 0],\n [0, 0, -4, 3],\n [-4, 1, -1, 3],\n [-3, -4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "467", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, 2, 3],\n [-4, -2, 1, -3],\n [3, 1, -1, -2],\n [1, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 1, -2],\n [0, -4, 0, 2],\n [1, 0, -2, -2],\n [-2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4938", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, -1, 2],\n [-4, 4, -3, -4],\n [3, 4, -2, 1],\n [0, -1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-210", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, 1, -3],\n [2, -1, 1, 2],\n [1, 1, -4, 0],\n [-3, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 3, 3],\n [2, 2, -2, -2],\n [2, -3, 0, 0],\n [1, 1, 3, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, 4],\n [0, -2, 3, -1],\n [0, 3, -4, -2],\n [4, -1, -2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-420", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, -2, -4],\n [3, -3, 0, -3],\n [0, -1, 1, -2],\n [0, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "668", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2, -4],\n [4, -4, -1, 0],\n [4, 0, 0, 0],\n [-4, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, -1, 1],\n [-3, -2, 1, 1],\n [-3, -2, 1, 3],\n [1, -4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3023", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 2, 0],\n [-3, 2, 2, -2],\n [2, 2, 0, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "701", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, 2, 1, -2],\n [-2, 1, 3, 2],\n [0, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "345", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -4, 0],\n [-1, 1, -2, 3],\n [0, -4, 3, -1],\n [3, 0, -3, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, 0, 0],\n [1, -2, 4, 0],\n [0, 4, -1, -4],\n [0, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, 3, 3],\n [0, -2, -3, -3],\n [-1, 4, 2, 4],\n [4, 4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1724", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-2, -1, -1, -1],\n [-2, 3, 1, -2],\n [-1, 2, -4, -2],\n [-4, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, 3, 1],\n [1, 4, -1, -4],\n [-3, 1, 0, 3],\n [3, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 2],\n [0, -2, 1, 0],\n [0, 1, -1, -2],\n [2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "467", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -4, 3],\n [2, 0, -1, 3],\n [3, -2, 2, -4],\n [3, -2, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 4, -3],\n [-2, -1, 2, -1],\n [-1, -1, 2, 0],\n [3, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 3, -1],\n [-4, 4, 3, 3],\n [3, 0, -3, 4],\n [-3, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-497", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -3],\n [2, -4, -1, -1],\n [0, -1, 0, -1],\n [-3, -1, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 2, -1],\n [3, -4, 1, -4],\n [-1, 1, 4, 1],\n [-2, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "559", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -3, -3],\n [3, -4, 0, -1],\n [1, 1, -4, 2],\n [0, -2, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "767", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[3, 4, 1, 2],\n [-3, -3, -4, 3],\n [1, 1, 3, -2],\n [-2, 3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-4, 0, -3, -3],\n [3, 4, -2, 1],\n [3, -1, -1, 4],\n [2, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 3],\n [-2, -2, -3, -3],\n [-3, 4, -2, -1],\n [0, 4, -4, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, -2, -2],\n [0, 2, 3, -2],\n [-2, 3, -3, 3],\n [-2, -2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 2, 4],\n [2, -2, -1, -2],\n [2, -1, -1, -2],\n [4, -2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, -3, 4],\n [1, -3, -2, -1],\n [-1, -2, 4, -1],\n [-2, 1, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -2, -2],\n [2, 2, -2, 2],\n [-2, -2, 3, 2],\n [-2, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4629", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 2, 1],\n [0, 1, 0, 0],\n [2, 0, 0, 0],\n [1, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 2, 0],\n [0, 2, 2, 2],\n [2, 2, -1, 0],\n [0, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1822", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, -1, -4],\n [4, 4, 1, -4],\n [1, 0, 0, 1],\n [-1, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6534", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 1, -2],\n [-2, -2, -2, 1],\n [1, -2, -1, 2],\n [-2, 1, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1606", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 3, 0],\n [0, -1, -2, -2],\n [3, -2, 0, 0],\n [0, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 0, -4],\n [-2, 0, 1, 1],\n [3, 4, 0, -1],\n [-4, -1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1008", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-2, -3, -1, -3],\n [3, -2, 1, -2],\n [0, -1, 3, -2],\n [1, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -4, 0],\n [-4, 3, -2, 0],\n [0, -1, -4, -1],\n [3, -3, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2134", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 3, 0, -3],\n [-1, 0, 2, -3],\n [-1, -2, -3, -1],\n [-3, -3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -2, -2],\n [0, 1, 0, 2],\n [-2, 0, -4, 2],\n [-2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 2, -3],\n [0, -1, 1, -2],\n [2, 1, 2, 0],\n [-3, -2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2838", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -1, -3],\n [1, 4, 2, 0],\n [-1, 2, -4, 0],\n [-3, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "904", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[1, 1, 3, -3],\n [1, -4, 1, 0],\n [3, 1, 2, 2],\n [-3, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, -1, 2],\n [-1, -3, 4, 4],\n [-1, 3, -2, -4],\n [-1, 4, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2462", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0, 0],\n [1, 2, -2, 0],\n [0, -2, -3, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "943", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 3, 0],\n [-1, 3, -2, 4],\n [4, 1, 4, 3],\n [-1, -3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "314", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -2, -1],\n [0, -1, 0, 1],\n [-2, 0, 4, 0],\n [-1, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, 3, 0],\n [3, -1, -2, -2],\n [-2, -3, -4, -3],\n [-3, 4, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7004", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 4, 0],\n [-3, 4, -4, 0],\n [-4, -2, 1, 4],\n [4, 3, -1, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-251", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 4, -3],\n [4, 0, -2, 1],\n [-3, -4, -4, -1],\n [1, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5645", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, 2],\n [2, 1, 2, 1],\n [0, 2, -4, -2],\n [2, 1, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, 2, 0, 4],\n [2, 4, -4, -1],\n [0, 0, -3, -3],\n [-3, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-363", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -3, 1],\n [0, 3, -2, -1],\n [-4, -3, 1, -4],\n [3, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -3, -2],\n [0, 0, -4, -4],\n [-3, -4, -1, 2],\n [-2, -4, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8721", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -2, 0],\n [-3, 3, -1, -4],\n [-2, -1, -3, -2],\n [0, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1372", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[4, -3, 1, 2],\n [1, -1, 4, -3],\n [2, 2, -1, 4],\n [3, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1246", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, -1, -4],\n [1, 4, -3, -3],\n [4, -2, 2, 0],\n [1, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6260", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, -3, 4],\n [0, -2, 1, -3],\n [-4, -2, 4, -2],\n [0, 0, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10158", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-4, 0, 2, 4],\n [-2, -3, 4, 1],\n [0, 2, -4, 4],\n [-3, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, -2, -2],\n [0, 3, -4, 4],\n [-2, -4, -2, 0],\n [-2, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, -2, 4, -1],\n [4, -2, -3, -1],\n [-3, -4, 1, 1],\n [-2, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -2, 0],\n [-1, 3, -2, -1],\n [-2, -2, -1, 2],\n [0, -1, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1148", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, 2],\n [3, 2, 1, -1],\n [-4, -2, 2, 4],\n [3, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "977", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 1, 2, 1],\n [-2, 0, 0, -4],\n [1, 1, -3, -4],\n [3, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, 4, 0],\n [-1, 0, -2, -2],\n [4, -2, -3, -3],\n [0, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8170", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, -1, 2],\n [-4, 0, 0, 3],\n [2, -2, 1, 0],\n [-4, 4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 2, 1],\n [0, 1, 2, 2],\n [2, 2, 0, 0],\n [1, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "453", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -1, 2],\n [1, 1, -3, -2],\n [-1, -3, -2, -1],\n [2, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-316", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[4, 1, -1, 0],\n [4, 2, -3, 4],\n [-1, -2, 1, -2],\n [4, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, 0, -2],\n [2, -2, 1, 0],\n [3, -2, 2, 2],\n [3, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1888", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -1, 2],\n [2, -4, -2, 0],\n [-1, -2, -1, 2],\n [2, 0, 2, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, 0, -1],\n [0, 1, -3, -3],\n [-1, 1, -2, -1],\n [0, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4430", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-4, 0, 0, 2],\n [0, 3, 1, 0],\n [0, 1, -1, 2],\n [2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, -2, -4],\n [2, -3, -2, 0],\n [-2, -2, 3, 2],\n [-4, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 0, 3],\n [1, 3, -3, 3],\n [4, 3, 4, 1],\n [3, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8684", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -3, 0, -3],\n [4, -1, -2, -4],\n [4, -4, 1, 1],\n [1, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "622", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-2, 4, 2, 0],\n [4, 4, 0, -2],\n [2, 0, 3, -1],\n [0, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-448", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, -2, 0],\n [-1, 3, -2, 2],\n [-2, -2, -3, -2],\n [0, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1006", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 0, 0],\n [2, -4, -1, 2],\n [0, -1, -4, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4590", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, -2],\n [0, -2, 1, 0],\n [0, 1, 0, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, 2, -2, -2],\n [1, 3, -4, -4],\n [-4, 3, -1, 4],\n [-4, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 1, 4],\n [1, -2, 2, -1],\n [-4, 0, 4, 1],\n [2, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-868", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 2, 4, 1],\n [-4, 3, -4, -3],\n [-4, 1, -2, -1],\n [3, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 2, -2, 0],\n [2, 3, -2, -2],\n [-2, -2, -2, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 1],\n [-1, 0, 4, 2],\n [1, -3, 0, 3],\n [-4, -4, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "636", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[1, -1, -2, 1],\n [-2, 3, -4, -2],\n [-4, -3, 4, 1],\n [-4, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-4, 4, -3, -4],\n [-4, 0, 1, -2],\n [1, 4, -3, 3],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, 0, -2],\n [3, 4, 2, -2],\n [0, 2, 3, 3],\n [-2, -2, 3, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 3, 1, 4],\n [3, 1, -4, -4],\n [1, -1, -4, -1],\n [2, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -4],\n [2, -1, 2, 2],\n [0, 2, -1, 1],\n [-4, 2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "761", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -2, 0],\n [-2, 0, 0, -3],\n [-2, 0, -1, 0],\n [0, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 4, 3],\n [2, 4, -4, -3],\n [2, -1, -2, -1],\n [4, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "780", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -4, 3, 0],\n [-4, 1, 2, -1],\n [3, 2, 0, -2],\n [0, -1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 3, 0],\n [2, 3, -3, 3],\n [1, 3, -1, -3],\n [1, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "445", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 0, 0],\n [2, -4, 4, 3],\n [0, 4, -3, -4],\n [0, 3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52695", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, 1, -1],\n [3, -4, 0, 0],\n [1, 0, 2, 1],\n [-1, 0, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "660", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 4, 2],\n [0, 3, 2, 0],\n [4, 2, -2, 2],\n [2, 0, 2, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, 1],\n [0, -2, 3, 0],\n [0, 3, 2, 0],\n [1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "435", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -3, 0],\n [-3, -4, -2, -3],\n [-3, -3, 4, -2],\n [3, 0, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1380", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, 1, 1],\n [-2, 4, 0, 2],\n [1, 0, -3, 0],\n [1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3191", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -1, 4],\n [-2, 4, 0, -2],\n [-4, 3, 4, 0],\n [2, -2, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, 4, 3],\n [-2, -4, 4, 1],\n [2, 2, -2, -2],\n [2, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1410", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[3, -4, 2, 0],\n [0, -1, -3, 0],\n [-3, -3, -3, -4],\n [2, -3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-221", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -1, 0],\n [4, -4, 0, -3],\n [1, -4, -4, 4],\n [-2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -4, -4, 1],\n [-2, 1, 0, -1],\n [1, 4, 4, -4],\n [1, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -3, -1],\n [2, 1, 0, 1],\n [3, 2, -2, -2],\n [1, 4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "592", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, 2, 2],\n [-1, -3, -1, -2],\n [1, -2, -3, 3],\n [4, -2, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12617", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 0, 4],\n [-1, -3, 1, 4],\n [-1, -4, 2, -4],\n [0, 4, 2, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, -1, -1],\n [0, -3, 0, 0],\n [-1, 0, -1, 2],\n [-1, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 2],\n [0, 0, 0, -2],\n [0, 0, 3, 0],\n [2, -2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2343", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, 2, -1],\n [-4, 1, -4, 4],\n [1, -1, -4, 2],\n [3, -2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3497", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, -4, -4],\n [2, -2, 2, 2],\n [-4, 2, 3, -2],\n [-4, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1707", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 2, -4],\n [2, -1, 2, 0],\n [2, 2, -1, -1],\n [-4, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3281", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -1, 3],\n [4, -2, 1, -2],\n [-4, -2, 2, 2],\n [0, 0, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, -2, -2, 0],\n [-2, 2, -2, 2],\n [-2, -2, 0, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 0, -2],\n [-2, -3, 2, 0],\n [0, 2, -3, 2],\n [-2, 0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5890", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 0, -4],\n [-2, 3, 0, -3],\n [0, 0, 1, 2],\n [-4, -3, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1666", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[2, 3, 1, 3],\n [4, -4, 0, 4],\n [0, 1, 3, 4],\n [2, 3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "404", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 3],\n [-2, 1, 2, -4],\n [0, 2, 0, -1],\n [3, -4, -1, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1273", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, 2],\n [0, 2, 0, 4],\n [-1, 0, 0, 2],\n [2, 4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4365", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[4, -3, -1, 3],\n [-4, 0, -2, -3],\n [-4, -3, 1, 1],\n [-1, -3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, -3, 3],\n [-2, -2, -2, 1],\n [3, 0, 3, -1],\n [-1, -1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[3, -3, 3, -2],\n [2, -1, 4, -2],\n [-2, 0, -2, -1],\n [0, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[1, 2, 3, 0],\n [2, 3, 2, 2],\n [3, 2, 1, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 1, 3],\n [0, 2, -2, 2],\n [1, -2, -4, -2],\n [3, 2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, 1, -3],\n [-2, 2, -4, -2],\n [0, -4, -3, -3],\n [2, 3, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5265", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, 1, -2, -1],\n [-4, -1, -4, 2],\n [2, -2, 4, 1],\n [4, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[0, 3, 0, 3],\n [4, 3, 1, 1],\n [-1, 3, 4, 1],\n [2, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "396", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2, -1],\n [2, -4, -4, 1],\n [3, -2, 0, 3],\n [0, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 2, 0],\n [0, 4, 0, 1],\n [2, 0, 4, -4],\n [0, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-1, -1, 2, 0],\n [4, 1, -1, -4],\n [-2, 2, -3, -1],\n [-1, 1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-3, 1, 4, 1],\n [-4, 0, -1, -3],\n [2, 3, 4, -1],\n [1, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 4, 4],\n [-4, 2, 0, -4],\n [-2, 0, 1, 4],\n [3, -2, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1280", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, 1, 3],\n [3, -1, 4, 4],\n [4, 2, 3, 0],\n [0, 3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7194", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, -4, 1],\n [3, -4, -2, -1],\n [1, 2, -2, -3],\n [-4, -4, -3, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 3, 2],\n [2, -4, 2, 0],\n [3, 2, -1, 1],\n [2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, 2, 3],\n [4, -3, 2, 2],\n [0, 0, 1, 3],\n [3, 0, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3360", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 0, 0, 0],\n [2, -2, 0, -1],\n [-3, 4, 4, 1],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -1, -1],\n [0, -4, 0, 1],\n [-1, 0, 3, 0],\n [-1, 1, 0, 4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, -4, 0],\n [0, 3, 2, 0],\n [-4, 2, 1, -1],\n [0, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8866", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -2],\n [2, -3, 4, -2],\n [2, 4, 2, -2],\n [-2, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6617", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, -1, 2],\n [2, 3, 0, 1],\n [-1, 0, -2, 0],\n [2, 1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 2, 4],\n [2, -1, 1, -2],\n [2, 1, 1, 3],\n [4, -2, 3, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, -2, -3, 0],\n [2, -3, -2, -2],\n [0, 1, -3, -1],\n [-1, -4, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, -1],\n [2, 3, 1, -2],\n [0, 1, 2, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, 3, -3],\n [3, 0, 2, -1],\n [1, 1, 0, 1],\n [-1, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "475", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, -4, -1],\n [1, -2, -1, 2],\n [-4, -1, 1, 3],\n [-1, 2, 3, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "875", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -4, 0, 4],\n [-4, 1, -1, -4],\n [1, 4, 0, -1],\n [1, 4, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9192", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 2, 0],\n [2, 2, 2, -4],\n [2, 2, 4, 0],\n [0, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10608", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 2, 4],\n [-2, -1, 4, -3],\n [1, 1, -4, 3],\n [4, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7876", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -1, 1],\n [2, -1, -3, 0],\n [-2, 4, -3, 4],\n [-4, -3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, -3],\n [0, 4, 2, 0],\n [0, 2, 1, 0],\n [-3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1382", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 2, 4],\n [1, 4, -2, 3],\n [-4, 2, -1, -4],\n [-4, -4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1399", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -2, 1],\n [2, 2, -2, 0],\n [-2, -2, -2, -2],\n [1, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2686", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 2, 0],\n [0, -1, 4, -1],\n [2, 4, 0, 2],\n [0, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "520", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 2, 2],\n [-1, 2, 0, 0],\n [2, 0, -4, 1],\n [2, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3763", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -2, -4],\n [2, -3, 0, 2],\n [-2, 0, -1, 2],\n [-4, 2, 2, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-4, 3, 2, 3],\n [-3, -1, -4, 3],\n [0, -1, 2, -4],\n [1, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 1, 0, -4],\n [-3, 3, -3, -1],\n [2, -3, 3, -3],\n [0, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[0, -1, 0, -4],\n [-1, 0, -2, 3],\n [3, 1, 4, 2],\n [-4, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, -1, 2, -4],\n [-1, -2, 4, 0],\n [2, 4, -4, 2],\n [-4, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1280", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-1, -2, -4, -4],\n [-2, 0, 0, 1],\n [-4, 0, 4, 2],\n [-4, 1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 2, -4],\n [2, 4, 3, 0],\n [2, 3, 3, -3],\n [-4, 0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7659", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 3, -1],\n [-1, 1, 0, -4],\n [3, 0, 1, 2],\n [-1, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[1, 3, 1, 2],\n [4, -4, 4, -4],\n [-1, -2, -3, -3],\n [-1, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 1, 0],\n [4, 0, 4, 1],\n [4, 2, 0, -1],\n [4, -1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "950", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, 1, -4],\n [3, 0, 1, 2],\n [0, 0, 1, 0],\n [2, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1096", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, -4, 0],\n [-3, -2, -2, -1],\n [-1, 1, 2, 3],\n [3, -3, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6146", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[4, -1, 4, 2],\n [-4, 4, 1, 4],\n [3, -2, 1, 4],\n [-3, -4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 1, 0],\n [-4, -2, -1, 4],\n [0, 1, -1, -4],\n [-1, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "998", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, -2, 0, -2],\n [-2, 4, -3, 1],\n [0, -3, 0, 2],\n [-2, 1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, -4, -4],\n [-1, 2, -3, 2],\n [-4, -1, -4, 0],\n [0, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, -1, -2],\n [-4, -2, 2, 0],\n [-1, 2, 0, -2],\n [-2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "658", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, -1, 3],\n [0, -1, -4, 1],\n [-1, -4, -3, -2],\n [3, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8131", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, 3, 2, 0],\n [3, 0, 2, 2],\n [2, 2, -4, -4],\n [0, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-578", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 0, 0],\n [-2, -4, 0, -2],\n [0, 0, -4, 1],\n [0, -2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-379", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -1, -3, 0],\n [-1, -1, -2, -2],\n [-3, -2, 0, 0],\n [0, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1798", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[0, -1, 2, 0],\n [-1, -4, 0, 2],\n [2, 0, -2, 0],\n [0, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -3, 0, 1],\n [-3, -3, 0, -3],\n [0, 0, -4, -4],\n [1, -3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8588", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-1, 0, 4, -2],\n [0, 1, -2, -2],\n [4, -2, 2, 2],\n [-2, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 2, 0],\n [-3, -1, 0, 4],\n [2, 0, 2, 0],\n [0, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "747", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 2, -2],\n [-2, -4, 0, 0],\n [2, 0, -1, 2],\n [-2, 0, 2, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, 2],\n [0, -3, -1, 0],\n [2, -1, -4, 2],\n [2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4993", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, 4, 3],\n [2, -3, -3, -4],\n [-2, 3, 0, -2],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-345", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -2, -3],\n [-3, 1, 2, -2],\n [3, -4, 1, 3],\n [0, -3, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-525", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, -3, 1],\n [-1, -3, -1, 4],\n [3, 3, -2, 1],\n [-3, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "912", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, 1],\n [-1, -2, 0, 0],\n [4, 4, 0, -4],\n [-4, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-450", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 0, 1, 2],\n [0, 0, 0, -4],\n [1, 0, 0, -1],\n [2, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 3, 2],\n [0, 0, 2, 3],\n [-3, -3, 2, 1],\n [-1, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1467", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, -4],\n [0, -1, -2, 0],\n [0, -2, -3, 2],\n [-4, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1511", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 1, 1],\n [0, -1, -2, -2],\n [1, -2, 0, -2],\n [1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 1, 1],\n [2, -2, -3, 0],\n [1, -3, 3, 0],\n [1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "239", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 3, -3, -1],\n [-1, 3, -3, 0],\n [0, -2, 4, -3],\n [4, 2, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5166", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-4, 0, -4, -1],\n [3, 4, -1, 4],\n [-2, -3, -1, -3],\n [1, 0, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, 2, 0],\n [3, -3, -1, -4],\n [-3, -4, -3, -1],\n [-3, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4329", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -1, 0],\n [2, -4, 0, 4],\n [-1, 0, 2, -2],\n [0, 4, -2, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 3, 0],\n [0, 0, -4, -2],\n [3, -4, 4, 0],\n [0, -2, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, 0, 3],\n [0, -2, -4, 2],\n [-1, 1, 4, -2],\n [0, -4, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "623", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -1, 1],\n [2, 4, 3, -2],\n [0, -2, 0, 4],\n [0, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2107", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-2, -1, 0, -1],\n [-1, 2, 0, -2],\n [0, 0, -3, 0],\n [-1, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, 4],\n [0, -4, 3, 3],\n [0, 3, 3, 3],\n [4, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13515", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 1, 0],\n [2, -3, 0, 0],\n [1, 0, 1, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "980", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -1, 0, -1],\n [-1, 4, -3, -2],\n [0, -3, 4, 0],\n [-1, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "970", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-2, 1, 1, 2],\n [-2, 4, 3, -2],\n [-4, -3, -2, 2],\n [3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 4, 3],\n [-2, -3, -1, 2],\n [3, 1, 3, -2],\n [2, -1, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "869", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 4, 3],\n [-1, 4, -4, -1],\n [2, -1, 1, -2],\n [1, -3, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-325", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, 1, -4],\n [-2, -1, 2, 4],\n [1, 2, 3, 0],\n [-4, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2866", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[3, -4, -4, -1],\n [4, 0, 2, -4],\n [3, -1, 4, 4],\n [0, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, -3, -3],\n [4, 2, -2, 2],\n [-3, -2, 1, 2],\n [-3, 2, 2, 0]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "703", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, 3, 1],\n [-2, 2, 2, -1],\n [3, 2, 1, -2],\n [1, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "470", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 1, 2, 0],\n [1, -3, 1, 0],\n [2, 1, -3, -3],\n [0, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1018", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, -1, 4],\n [3, -1, 4, -1],\n [4, -4, 2, -3],\n [4, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1516", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-3, -2, 0, -2],\n [4, -2, 0, -3],\n [4, 1, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2, -2],\n [0, 3, 2, -4],\n [2, 2, 0, 4],\n [-2, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16485", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, -3, 0, -4],\n [2, -4, -2, -3],\n [1, 4, 2, 0],\n [-1, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 4, -3],\n [-3, 4, 3, 3],\n [-4, 0, -2, 1],\n [-1, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6809", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 1, 0],\n [1, 4, 0, 0],\n [1, 0, -2, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 3, -1],\n [4, 1, -4, -2],\n [-4, 2, -1, -1],\n [0, -1, -1, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, 1, -1, -3],\n [1, -3, 2, 0],\n [-1, 2, -4, 0],\n [-3, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, -2, 0],\n [-1, 1, 1, 3],\n [-2, 1, 0, -1],\n [0, 3, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1967", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, -2, -1],\n [4, 1, 3, 3],\n [-2, -2, 3, 0],\n [-1, -4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2522", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 4, 2],\n [2, -4, -2, 0],\n [4, -2, 3, -2],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9161", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -1, 2],\n [-1, 1, 1, -3],\n [-1, 1, -4, -2],\n [2, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, -2, 3],\n [-3, -2, -1, -4],\n [-2, -1, 0, 0],\n [3, -4, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1111", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[3, -1, 1, 4],\n [3, 2, -4, 1],\n [2, 3, 2, -3],\n [1, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, 1, -3],\n [-1, 4, -3, -1],\n [1, -2, 0, 3],\n [-1, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5326", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, 0, 1],\n [-2, -1, 0, -2],\n [0, 0, 3, -3],\n [1, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-304", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 2, 2],\n [0, 2, 3, 0],\n [2, 3, -1, 2],\n [2, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "717", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, 0, -3],\n [0, 1, 4, -3],\n [-3, 3, -4, 2],\n [3, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, 0],\n [2, 0, -2, -3],\n [-2, -2, 0, 1],\n [0, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 0, -2],\n [-2, 0, 2, 0],\n [0, 2, 1, 2],\n [-2, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "322", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, 1, 2],\n [-3, -1, -4, -2],\n [1, 1, -4, -2],\n [2, -3, 3, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -4, 0],\n [1, 1, 1, -3],\n [-4, -3, 4, 0],\n [3, -2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -3, 3],\n [3, 1, 1, -2],\n [-4, 2, -4, 1],\n [0, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 1, 1],\n [1, -4, -3, 3],\n [1, -3, 2, 4],\n [1, 3, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15750", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 1, -2, -1],\n [1, 0, 2, 0],\n [-2, 2, -3, -2],\n [-1, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2969", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -2, -1],\n [-2, 4, -2, 1],\n [-2, -2, -2, 0],\n [-1, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-299", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 3, -2],\n [-3, -2, -1, -1],\n [4, 4, 1, -2],\n [-2, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "673", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 3, 0, -1],\n [-2, 4, 1, 0],\n [-1, 4, 2, 0],\n [-1, -3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "660", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, -2],\n [2, -1, 0, 0],\n [0, 0, -1, 3],\n [-2, 0, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -3, 0, -2],\n [2, -3, -2, -4],\n [-4, 1, -4, 2],\n [3, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3042", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-2, 0, 0, 1],\n [0, 0, 0, 0],\n [0, 0, 2, 0],\n [1, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, -1, 2],\n [4, -4, -2, -3],\n [-2, -2, 0, 1],\n [1, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, 0],\n [2, -2, -1, 2],\n [0, -1, 0, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, -4, -1],\n [3, 0, 2, -2],\n [3, 1, 0, 1],\n [2, 3, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 0, 3],\n [1, -1, 1, -4],\n [0, -4, 2, 0],\n [3, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "578", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -3, -2, 0],\n [-2, -2, -4, -1],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 1, -1],\n [0, -1, 0, 3],\n [1, 0, 4, -2],\n [-1, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1030", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, -3, -2, 0],\n [0, -2, 0, 4],\n [0, 0, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4146", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, -1, 2],\n [2, 1, -4, 3],\n [2, 4, 1, 1],\n [2, -2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "398", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 3, 1],\n [-1, 2, 0, 2],\n [-1, 2, -2, -1],\n [4, 2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -3, 2],\n [-2, 4, 4, 3],\n [1, -2, 0, -3],\n [-1, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3653", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, -3, 2, -2],\n [-3, -2, -2, -3],\n [-4, -2, 4, 4],\n [0, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 0, -2],\n [-2, 4, -4, 1],\n [0, -4, -4, 0],\n [-2, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1345", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -3, 4],\n [-1, -3, 1, 4],\n [3, -2, 3, -3],\n [2, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3006", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -4, 0],\n [-2, -1, -1, -2],\n [-4, -1, -2, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14565", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, -4, 0, 1],\n [0, 0, -2, 2],\n [-2, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -4, -2, 2],\n [-1, 0, -2, -3],\n [0, 1, 4, 2],\n [-3, -4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1417", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-3, 2, -2, 0],\n [2, 1, -2, 0],\n [-2, -2, 2, 2],\n [0, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 3, 2],\n [-2, 1, -3, -1],\n [-3, -1, 2, 0],\n [2, -3, -4, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "424", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 3, -4],\n [-3, 2, 2, 1],\n [3, 2, -3, 3],\n [-4, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, 3, 1],\n [-3, 0, 4, 0],\n [-4, -3, 3, 3],\n [0, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "921", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -1, 3],\n [1, -2, -4, -4],\n [-4, -4, -1, 2],\n [4, -1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1664", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, -4],\n [-2, -4, 2, 0],\n [0, 2, -2, 0],\n [-4, 0, 0, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 1, 0],\n [0, 1, -2, 0],\n [1, -2, 2, 3],\n [0, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[2, 4, -2, 1],\n [-2, -4, 2, 3],\n [3, -1, 1, 2],\n [-2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 1, 2],\n [-2, 2, 1, -1],\n [1, 1, -4, -1],\n [2, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 0, 2],\n [0, 1, 2, -3],\n [0, 2, 3, -1],\n [2, -3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2888", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, 1],\n [4, 2, -4, 3],\n [-1, -3, 1, -3],\n [-2, 1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "777", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, -1, -2, -1],\n [-1, 4, -1, 1],\n [0, 0, -2, 1],\n [3, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 1, 2, 0],\n [1, -4, 1, 1],\n [2, 1, -4, 0],\n [0, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 0, 2, 0],\n [0, 1, 0, 0],\n [2, 0, -1, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, 0, 4],\n [-4, 1, 4, -1],\n [-2, 0, 2, 2],\n [1, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[3, 1, 2, -2],\n [1, 0, 1, 0],\n [2, 1, -4, -2],\n [-2, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-338", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 1],\n [0, 3, -1, -3],\n [0, -1, -1, 1],\n [1, -3, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "740", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 0, 1],\n [0, 4, -2, 3],\n [0, -2, -4, -1],\n [1, 3, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4212", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, -1, -2],\n [1, 4, -1, 2],\n [4, 4, 1, 0],\n [-3, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1040", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, 0, 2],\n [-1, 4, 0, 2],\n [0, 0, -3, -2],\n [2, 2, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[3, -1, 1, -4],\n [1, -2, 0, 3],\n [2, -2, -3, 0],\n [-1, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, -4, 1],\n [-4, 1, 0, 0],\n [-2, 1, 3, -4],\n [4, 4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1433", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -3, 3, 0],\n [-3, 2, 0, 0],\n [3, 0, -1, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3982", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-3, 0, 4, -4],\n [1, 1, 1, -1],\n [2, -1, 1, 3],\n [2, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-583", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-3, 0, 2, 0],\n [0, 1, 0, 1],\n [2, 0, -3, 3],\n [0, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[4, 3, 4, -3],\n [3, -2, -1, -2],\n [4, -1, -3, 0],\n [-3, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "543", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -2, 0],\n [-1, 1, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1917", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 1, 4],\n [-1, 1, 0, 1],\n [1, 0, 1, -1],\n [4, 1, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1075", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 3, 0],\n [0, -3, 1, -2],\n [3, 1, -4, 2],\n [0, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, -2, 0],\n [-1, -4, 0, 0],\n [-2, 0, -2, 2],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, -4, -4],\n [-4, -3, 1, 3],\n [-4, 1, 4, 0],\n [-4, 3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26995", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -1, -1],\n [0, 0, 0, 1],\n [-1, 0, -2, 2],\n [-1, 1, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 2, -3],\n [-2, 0, -3, -2],\n [2, -3, -1, 0],\n [-3, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -2, 4, 0],\n [-2, 4, -1, -3],\n [4, -1, -2, 3],\n [0, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "973", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 4, 0, -1],\n [-4, -2, -3, 3],\n [4, -1, -2, -4],\n [2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -1, -4, 0],\n [3, -1, -2, 2],\n [4, -2, 4, -3],\n [-3, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-852", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 0, -2],\n [2, 4, 0, 0],\n [0, 0, -4, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-320", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, -1, 4, -4],\n [1, -3, 0, 3],\n [-2, 4, -4, -3],\n [3, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, 1, -2],\n [-3, 2, -2, 1],\n [1, -1, -2, 3],\n [0, -1, -1, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, -3, -4],\n [0, -2, 2, -1],\n [-4, 1, -4, -2],\n [-3, 3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0, -1],\n [-2, -4, -1, 2],\n [0, -1, -4, -1],\n [-1, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3185", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, -4, 0],\n [-4, 3, -1, -2],\n [-4, -1, 4, -4],\n [0, -2, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2524", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 4, -3, -4],\n [3, -3, -4, -4],\n [1, -4, -2, 4],\n [-2, 4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3075", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-3, 0, 0, -3],\n [2, -1, 1, 3],\n [3, -2, 3, -4],\n [3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, -1, 1],\n [1, 4, 1, -2],\n [-3, -3, 3, 1],\n [3, -4, -4, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1014", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -4, -2],\n [-4, -2, -3, -2],\n [-1, -3, 4, -1],\n [-2, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3750", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 1, 4],\n [2, 0, 0, 0],\n [1, 0, -3, -4],\n [4, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1823", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, -3, -4, -1],\n [0, -4, 4, -4],\n [-2, 3, -3, -1],\n [-1, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, 3, 1],\n [0, -1, 3, 2],\n [-1, 2, 4, -4],\n [2, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1070", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-2, 3, 0, -3],\n [0, 0, -1, 0],\n [1, -3, -1, 0],\n [-3, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -1, -4],\n [1, -2, -4, -2],\n [0, 2, 4, -4],\n [-4, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "981", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -1, 0],\n [-2, 1, -2, 3],\n [-1, -2, 3, -1],\n [0, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2714", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, 0, -1],\n [-1, -3, 0, 0],\n [0, 0, 4, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-3, -2, -3, -1],\n [-2, -1, 2, -3],\n [-3, 2, -3, -2],\n [-1, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "486", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, 3, -1],\n [4, -2, 1, 4],\n [-4, 0, 4, 2],\n [2, -2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-652", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, 3, 0],\n [2, 3, 0, 4],\n [-1, -4, -3, -3],\n [2, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, -4, -3],\n [4, 1, 1, -2],\n [4, 4, -1, 0],\n [-2, 4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6122", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, 3, 4, -3],\n [1, 0, 2, -3],\n [-4, 4, -4, 0],\n [3, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 3],\n [-1, -3, -1, -2],\n [-3, -2, -1, 2],\n [-1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "851", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[1, -1, 0, 4],\n [3, -4, 0, -1],\n [-1, -4, 4, 4],\n [1, 3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 2, 0, 0],\n [2, -2, 2, -3],\n [0, 2, 1, 2],\n [0, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, 2, -1, 2],\n [2, 0, 2, -1],\n [-1, 2, 4, 0],\n [2, -1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-3, 4, 4, -3],\n [-1, 0, -2, 4],\n [-2, -4, 0, 4],\n [0, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 0, -4],\n [0, -1, -4, 3],\n [-4, 1, -2, 3],\n [-4, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6666", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, 4, -2],\n [-2, 4, 3, -3],\n [-2, 0, 0, 0],\n [0, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, -2, 0, 4],\n [-2, 0, 0, -3],\n [0, 0, 0, 2],\n [4, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -1, -2],\n [0, -1, 0, -2],\n [-1, 0, -1, 0],\n [-2, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "507", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 4, -3],\n [0, -3, 2, 3],\n [3, 4, 1, 0],\n [2, 0, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, 0, 4, -3],\n [1, -3, -3, 3],\n [-4, -1, 2, -2],\n [-2, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 4, 0],\n [-2, -2, -1, 2],\n [4, -1, -4, 2],\n [0, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1855", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2, 0],\n [0, 3, 0, 1],\n [-2, 0, 4, 2],\n [0, 1, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "615", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 4, -2],\n [-4, -1, 0, 0],\n [4, 0, -4, 0],\n [-2, 0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -1, -2],\n [0, -4, 3, 1],\n [-1, 3, -2, -2],\n [-2, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1882", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 1, 0],\n [0, 4, -4, 1],\n [4, -3, -1, 4],\n [1, -3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5487", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -1, 4],\n [0, 1, 0, 0],\n [-1, 0, 3, -4],\n [4, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -3, -4],\n [1, -2, 0, 2],\n [4, -1, -4, -3],\n [1, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2440", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 0, 0],\n [0, 1, 0, -4],\n [0, 0, -4, 1],\n [0, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 0, -2],\n [2, 4, 4, 3],\n [0, 4, -1, 0],\n [-2, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9635", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 1, 3],\n [-4, -3, -4, -1],\n [2, 2, -1, 0],\n [-1, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, 3, -4],\n [-3, 0, 4, -2],\n [-4, -3, -2, 4],\n [-1, -3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5606", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 2, -4],\n [-1, -2, -1, -3],\n [4, 0, -3, 4],\n [-3, 3, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4508", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, 0, 2],\n [-1, -4, 2, -3],\n [0, 2, 3, 4],\n [2, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1043", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -2, 2],\n [2, -2, 2, 0],\n [-2, 2, 0, 3],\n [2, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[4, 1, -4, 3],\n [1, 2, 4, 2],\n [-2, 4, 3, 1],\n [0, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1122", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 1, -1],\n [1, 4, 2, -2],\n [0, -2, 4, 0],\n [-2, 3, 3, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -4, 0],\n [2, 4, 4, 2],\n [-4, 4, -1, 2],\n [0, 2, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1726", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, -2, -2],\n [1, -3, 0, 0],\n [-2, 0, -3, 0],\n [-2, 0, 0, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 2],\n [0, 3, 2, -2],\n [-2, 2, 0, -4],\n [2, -2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-4, 2, -1, -2],\n [2, -1, 3, 1],\n [-1, 3, 3, 0],\n [-2, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -3, 2],\n [-2, -3, -2, 2],\n [-3, -2, 4, 2],\n [2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6852", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 4, -2],\n [2, 3, 0, 2],\n [4, 0, -4, 1],\n [-2, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2500", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 1, -2],\n [1, 0, 0, -2],\n [1, 0, -2, -2],\n [-2, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, -3, 2],\n [-1, 3, 0, 2],\n [-3, 0, 2, -2],\n [2, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, 2, 2, 4],\n [-3, -2, -1, -1],\n [-4, -4, 3, -4],\n [2, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, 0, 0, 3],\n [-1, -2, 3, -1],\n [2, -4, 4, 3],\n [3, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, -3, 1, -3],\n [-1, 3, 4, -3],\n [-2, 0, -4, 0],\n [4, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -2, -3],\n [-1, -3, -4, 1],\n [-2, -4, -3, 2],\n [-3, 1, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2185", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -4, -4],\n [-2, -1, -3, 3],\n [0, 1, -1, 3],\n [-1, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2529", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, 0, -2],\n [-4, -3, 3, 0],\n [0, 3, 4, 0],\n [-2, 0, 0, 2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -2, 2],\n [0, -2, -3, 0],\n [-2, -3, 1, 0],\n [2, 0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, -1],\n [-2, -3, 3, 4],\n [0, 3, 1, 0],\n [-1, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1076", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 0, -3, 0],\n [0, 1, 2, 2],\n [-3, 2, -3, 0],\n [0, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-1, 0, 2, -1],\n [0, 1, 2, -2],\n [2, 2, 2, 2],\n [-1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 4, 4, 4],\n [0, -4, -3, -4],\n [-1, -1, -4, 3],\n [-3, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4804", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, 4, 2],\n [3, 3, 0, 3],\n [-2, 3, -2, 1],\n [-2, -3, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2566", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, -4, -2],\n [-3, -3, 0, 3],\n [4, -4, 4, -3],\n [3, 0, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1453", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -3, 1],\n [0, -3, 4, 1],\n [-3, 4, -2, 2],\n [1, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[1, 2, -3, 3],\n [-1, 3, -3, 0],\n [2, -1, 0, 0],\n [0, 4, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-4, 0, 4, 1],\n [0, -2, -1, 2],\n [4, -1, -2, 0],\n [1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 1, -2],\n [-2, 3, 0, 0],\n [1, 0, 2, -1],\n [-2, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, -4, 0],\n [1, -3, 0, 1],\n [4, 2, 3, -3],\n [1, 1, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "746", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[2, 4, 0, 0],\n [4, 4, 0, 4],\n [0, 0, 1, -2],\n [0, 4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1024", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -4, 2, -3],\n [2, 0, 3, 3],\n [0, 2, 0, 3],\n [3, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, -3, -1, 3],\n [-1, 0, 1, 0],\n [-2, -2, 0, 3],\n [2, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, -4, 2, -2],\n [4, 1, -3, -1],\n [-2, -2, 4, -1],\n [4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, -2, 0],\n [2, -1, 2, 3],\n [-2, 2, -4, -3],\n [0, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16206", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 1, 2],\n [0, 2, 1, 3],\n [1, 1, -2, 0],\n [2, 3, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, 0, -2],\n [4, 2, 1, -4],\n [-3, -3, -1, 3],\n [-4, -4, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2678", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, -1, -4],\n [-2, 3, 0, 2],\n [2, 3, -4, 1],\n [4, 1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2340", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-4, -2, -4, 0],\n [-2, -2, 2, -1],\n [-4, 2, 4, -1],\n [0, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, 0, 0],\n [4, 3, 2, 3],\n [0, 2, 0, 1],\n [0, 3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6533", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, -2, 0],\n [1, 2, 4, 0],\n [-2, 4, -3, 2],\n [0, 0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5815", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -1, 0],\n [-2, 1, 0, -2],\n [-1, 0, -1, 0],\n [0, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 3, -2],\n [2, 1, -3, -3],\n [-4, -2, 3, -1],\n [-1, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, -4, 3, 4],\n [4, -4, -4, 0],\n [-2, -2, -3, -1],\n [-3, -3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-365", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 2, -2, 0],\n [2, -3, 0, 0],\n [-2, 0, 0, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, -3, 1, -1],\n [1, 4, 4, 0],\n [2, 1, 4, -1],\n [4, 3, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, -4, -3, 4],\n [-2, -3, -4, -3],\n [-4, -3, -3, -3],\n [-1, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -1, 0],\n [0, 1, 0, 0],\n [-1, 0, -1, 2],\n [0, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[0, -2, -3, 0],\n [-2, 1, -2, -2],\n [-3, -2, -1, 4],\n [0, -2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, -1, 2],\n [4, 1, 2, -2],\n [0, -4, 4, 0],\n [4, 0, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, 0, 3],\n [0, 0, -4, -4],\n [4, -4, 3, 1],\n [4, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6805", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 0],\n [-2, 0, 2, 0],\n [0, 2, 1, 2],\n [0, 0, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 2],\n [-2, -3, -1, -1],\n [-2, -1, 2, 0],\n [2, -1, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 2, -2],\n [0, 0, 1, 1],\n [4, -1, -4, -4],\n [4, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, 1, -2],\n [3, 0, -2, -2],\n [1, -2, 2, -3],\n [-2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -4, 0],\n [-2, 0, -2, 0],\n [3, 1, -3, -4],\n [4, -3, 2, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, 3],\n [2, -1, -2, -1],\n [-3, 0, -3, -3],\n [4, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1092", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -4, 1],\n [-2, 3, -4, -4],\n [-2, 2, 2, 2],\n [4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6776", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -2, 1],\n [2, 4, 0, 2],\n [-2, 0, -1, 2],\n [1, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "507", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-3, 1, 2, -2],\n [-1, 4, 4, -3],\n [3, -2, 0, 4],\n [4, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -3, -1, -3],\n [-3, -3, 2, -4],\n [1, 0, 0, -1],\n [1, 3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3583", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[3, 0, -3, 0],\n [0, -1, -1, 0],\n [-3, -1, -4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, -3, -2],\n [-1, -1, -3, 0],\n [-2, -3, -2, 2],\n [-2, 1, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5740", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 0, -1, -2],\n [0, -4, 2, 0],\n [-1, 2, -3, -2],\n [-2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 2, -1],\n [2, -2, -1, 1],\n [2, -1, -2, 4],\n [-1, 1, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 1, 0],\n [0, -4, 0, 2],\n [1, 0, -3, -4],\n [0, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -1, -2],\n [1, -4, -1, 0],\n [-1, -1, 2, 2],\n [-2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 3, -1],\n [3, -2, -4, -2],\n [4, -2, -4, 0],\n [-2, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2469", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[0, 0, -2, -2],\n [0, -3, -2, 4],\n [-2, -2, -1, 1],\n [-2, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1280", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, 0, -2, 2],\n [0, -2, -1, -2],\n [-2, -1, 0, -1],\n [2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, 2, 0],\n [4, -2, 0, -2],\n [2, 0, 3, -2],\n [0, -2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2457", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2, 1],\n [-2, 3, 0, 2],\n [2, 0, 0, 0],\n [1, 2, 0, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, -2, -2, 3],\n [-2, -4, -3, 2],\n [-2, -3, 1, 1],\n [3, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 0, -2],\n [2, 0, 0, 4],\n [0, 0, -2, -2],\n [-2, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6432", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, -3, 4],\n [3, 4, 1, 2],\n [-1, 0, 1, 1],\n [-2, -2, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-273", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 0, 4],\n [-2, 4, -3, -1],\n [0, -3, 1, 0],\n [4, -1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, 1, -2],\n [1, 4, 2, 0],\n [1, 2, 4, 0],\n [-2, 0, 0, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-1, 0, 0, 2],\n [0, -1, 2, -2],\n [0, 2, 2, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -2, 0],\n [-2, 1, 0, 2],\n [-2, 0, -4, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "949", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, 0, 0, -2],\n [0, 1, 0, 0],\n [0, 0, -4, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-704", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, -4, -4, 4],\n [-4, -1, 4, 2],\n [-4, 4, 0, -2],\n [4, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-2, 3, -4, -1],\n [2, 2, 3, 3],\n [0, -1, -4, -4],\n [4, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "568", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, 3, -3],\n [2, 1, -1, -1],\n [-1, 0, 1, -1],\n [-1, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 2, -2],\n [-3, 0, 0, 0],\n [-4, 3, -1, 0],\n [1, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 2, -3],\n [0, -2, 3, 0],\n [2, 3, -1, -4],\n [-3, 0, -4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-534", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, -3],\n [-4, -4, 0, 0],\n [-4, 3, -4, 0],\n [-2, 2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1278", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 0, 2, 4],\n [-4, 4, 1, -4],\n [0, -2, 3, 3],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, -2, 0],\n [-2, -4, 2, 3],\n [-2, 2, -3, -2],\n [0, 3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15971", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 0],\n [0, 3, 0, -3],\n [0, 0, 1, -4],\n [0, -3, -4, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-3, -4, 2, -2],\n [-2, 0, 3, -4],\n [2, -3, -3, 1],\n [0, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 3, -2, 1],\n [3, -2, 2, -1],\n [-2, 2, -2, 0],\n [1, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 4, 2, -2],\n [4, 4, 2, 2],\n [2, 2, 4, 4],\n [-2, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2407", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2, -2],\n [0, 3, -3, -4],\n [1, 4, 0, -1],\n [-2, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 0, 0],\n [2, 3, -2, 1],\n [0, -2, 2, 0],\n [0, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4265", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, 4, 3],\n [2, -1, -2, -3],\n [2, -4, 1, 3],\n [-4, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1201", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 2, -2],\n [2, 2, 1, -3],\n [2, 1, -1, 1],\n [-2, -3, 1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 2, 0],\n [4, -2, 4, 3],\n [-3, -2, -2, -1],\n [-4, -3, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-214", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 1, -4],\n [4, -2, -1, 0],\n [3, 4, 4, 4],\n [-1, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -1, 4],\n [4, 0, 4, 1],\n [2, 4, -2, 2],\n [-2, -2, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 0, 2],\n [-2, -4, -2, 0],\n [0, -2, -2, 4],\n [2, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, -2, -1],\n [2, -1, -4, 3],\n [-1, 1, 1, 1],\n [1, -4, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4136", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 0, -2],\n [0, -3, -2, 1],\n [0, -2, 1, 0],\n [-2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "415", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, 0, -1, 0],\n [0, 0, -1, 0],\n [-1, -1, 3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 2, 1],\n [2, -3, 2, -1],\n [2, 2, -3, -1],\n [1, -1, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2, 4],\n [0, -2, -3, 2],\n [-3, 1, -4, -3],\n [2, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4944", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, -1, -2],\n [2, -1, 3, 1],\n [-3, 1, -1, 2],\n [0, -3, -2, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2, 0],\n [2, 1, -2, -1],\n [-2, -2, 2, -1],\n [0, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[2, 1, 1, 4],\n [-4, -3, 2, 2],\n [1, -3, 1, 1],\n [4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 3, -3],\n [2, 2, 1, 3],\n [1, 1, 3, 1],\n [2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2763", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, -2, 1],\n [4, -4, -1, 3],\n [4, 1, -3, -1],\n [-2, 1, 0, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 1, -1],\n [-3, 1, 0, 1],\n [-2, -4, 0, -2],\n [0, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1012", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[2, -4, -2, -1],\n [-4, 3, 0, 0],\n [-2, 0, 3, 0],\n [-1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, -2, 4],\n [-3, 2, 0, 2],\n [4, -4, 1, 4],\n [-1, -3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1103", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 0, -3],\n [2, -2, -1, -3],\n [-1, -4, 2, 4],\n [4, 3, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1063", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, 4],\n [3, 4, 2, 2],\n [-3, -1, 1, -3],\n [3, 1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6396", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, -3, -4],\n [4, 4, 0, -1],\n [-3, 0, 2, 4],\n [-3, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1710", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -2, -3, 0],\n [-2, 0, -4, 0],\n [-3, -4, 3, -2],\n [0, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3312", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, -3, 1, -2],\n [2, -3, 2, 1],\n [-3, -3, 1, -3],\n [-4, 1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[0, 1, 0, 0],\n [1, 3, -1, 3],\n [0, -1, 1, 0],\n [0, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, 0, 2, -3],\n [3, 2, 3, -4],\n [-3, 1, 0, -2],\n [-2, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 1, 4],\n [-3, 4, 4, 4],\n [2, -3, 0, 3],\n [-1, 0, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "832", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[4, 3, -4, 0],\n [-4, 2, -4, 2],\n [2, -2, 0, -2],\n [4, -1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, -1],\n [0, 0, 0, 0],\n [-2, 0, -2, 0],\n [-1, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, 4, 0],\n [-2, -2, -2, -1],\n [4, -2, -1, 1],\n [0, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7257", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, 0, -3, 2],\n [0, -4, 2, 0],\n [-3, 2, -3, 3],\n [2, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 1, -4],\n [2, -4, 2, 0],\n [1, 2, 3, 2],\n [-4, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3704", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -2, 0],\n [1, -4, -2, 1],\n [-2, -2, 3, -2],\n [0, 1, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 2, 2],\n [-1, 2, 0, 0],\n [2, 0, 1, 0],\n [2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "822", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-4, 4, -2, -2],\n [-1, 0, -3, 3],\n [2, 1, 1, 0],\n [2, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 1],\n [2, -1, 1, -3],\n [2, 1, 3, 0],\n [1, -3, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "913", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, -2, 0],\n [4, 0, 1, 2],\n [-2, 1, -4, 2],\n [0, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5747", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 0, -3, 0],\n [0, 1, -1, 0],\n [-3, -1, -2, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 0, -4],\n [2, 3, 3, 0],\n [0, 3, 0, 0],\n [-4, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7787", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-2, 1, 3, -3],\n [1, 2, 3, -4],\n [4, -2, -3, -1],\n [3, -2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 4, -2],\n [-4, -1, -4, -2],\n [-1, 4, 4, -4],\n [4, -1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10860", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 3],\n [-2, -4, 1, 1],\n [0, 1, -1, -2],\n [3, 1, -2, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[4, 1, 3, -2],\n [1, 2, 0, -2],\n [3, 0, 1, 0],\n [-2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 0, 4],\n [4, -1, 0, 2],\n [-2, -2, 3, -4],\n [1, 4, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -4, 3],\n [4, -3, 2, -2],\n [-2, 3, -1, -4],\n [2, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -3, -2],\n [0, -4, 1, 0],\n [-3, 1, -3, -2],\n [-2, 0, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-714", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -2, -3],\n [0, 0, 2, -1],\n [-2, 2, -2, 1],\n [-3, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3921", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 3, -2],\n [-4, 4, 2, 3],\n [-3, -2, -1, 4],\n [-1, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4046", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, -2, -3],\n [3, -2, -2, 2],\n [-2, -2, 2, 1],\n [-3, 2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7533", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 0],\n [0, -1, 0, 0],\n [0, 0, -4, 2],\n [0, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, -4, 1, -2],\n [-3, -2, -2, 2],\n [2, -2, -2, 0],\n [-2, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-4, -1, -4, -4],\n [2, -4, -3, -4],\n [-1, 1, -2, -3],\n [1, -3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-211", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 0, -2, 2],\n [0, 1, 0, 1],\n [-2, 0, -4, 3],\n [2, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, -1, 3],\n [-1, -4, -3, 2],\n [3, -1, 1, -1],\n [4, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "693", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 1, -1],\n [1, -4, 4, 2],\n [-2, 3, -2, 4],\n [-4, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-1, -2, -1, 1],\n [1, 2, 0, 4],\n [3, -2, -2, 4],\n [-2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 2, -2],\n [-4, -1, -2, 0],\n [2, -2, -4, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "785", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -1, 1],\n [0, 4, 0, -2],\n [-1, 0, -2, 0],\n [1, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[4, -3, 1, -3],\n [-2, 2, 2, -3],\n [-3, -2, 4, 2],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, 1, 0],\n [-4, -1, 2, -4],\n [1, -4, -2, 0],\n [3, 3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4778", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0, 0],\n [0, 1, -1, 2],\n [0, -1, 2, 2],\n [0, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 3, 1],\n [0, -1, -3, 2],\n [3, -3, -4, 0],\n [1, 2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "877", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 0],\n [0, -3, 0, 2],\n [0, 0, 0, 0],\n [0, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 3, 2, -1],\n [4, -1, 0, -4],\n [2, 3, -2, -1],\n [0, -3, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1901", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, 1, 2],\n [2, -2, 3, 0],\n [-1, 4, 1, 1],\n [-3, -3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "535", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, -1, 0],\n [-1, 0, -3, -2],\n [0, -3, 4, -1],\n [-4, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -3, 4],\n [3, 2, 0, 0],\n [-3, -4, 3, 1],\n [1, 3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, 2],\n [-2, 0, -4, 0],\n [4, -4, -3, -4],\n [-3, 0, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6545", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 0, -1],\n [-4, -3, -2, 0],\n [0, -2, -2, 2],\n [-1, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5003", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 0, 3],\n [-2, 2, -2, 0],\n [0, -2, -1, 0],\n [3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2861", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 0, 1],\n [-2, -3, -4, 0],\n [0, -4, 4, 4],\n [1, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1699", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 2, 2],\n [3, 2, 2, -3],\n [3, 4, -1, -2],\n [3, 2, 3, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, 0, 1],\n [-4, -4, 0, -2],\n [4, -4, -3, -3],\n [-2, -2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3182", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, -1, -2, 0],\n [-1, -4, 0, -2],\n [-2, 0, 0, 2],\n [0, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, -3, -1],\n [0, -4, 0, 3],\n [1, -4, -4, -4],\n [1, 2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "794", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 4, 2],\n [3, 1, 1, -1],\n [2, 0, -2, 4],\n [-2, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "642", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, 0, -1, -2],\n [0, -2, -2, 2],\n [-1, -2, -2, 3],\n [-2, 2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1134", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -3, 2],\n [0, -1, -1, 0],\n [-3, -1, -4, -1],\n [2, 0, -1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, 4, -4, 2],\n [4, -2, 4, 1],\n [-3, 4, 0, -3],\n [-1, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-359", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, -4, -2],\n [0, 3, 1, -1],\n [0, 0, 0, -4],\n [-4, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "557", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 0, -2],\n [0, 1, -4, 2],\n [0, -4, -2, 2],\n [-2, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10930", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -2, 0],\n [-3, 4, -2, 1],\n [-2, -2, 3, 1],\n [0, 1, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "741", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 1, 1],\n [4, 1, 0, -2],\n [2, 0, -1, 2],\n [0, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "742", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 2],\n [0, 4, 0, 3],\n [-2, 0, 1, -2],\n [2, 3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 4, 1],\n [-3, -4, 1, 3],\n [2, 3, 3, 0],\n [-3, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2229", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -1, 3, -3],\n [-4, -2, 0, -4],\n [-2, -3, -3, -3],\n [3, -2, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1081", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-4, -4, 1, 0],\n [-4, -4, -2, 0],\n [1, -2, -3, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, 1, -3],\n [-3, -4, 1, 4],\n [-4, 2, 2, 1],\n [3, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3907", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 3, 2, -3],\n [4, -1, 3, -2],\n [-2, -1, 0, -1],\n [2, 3, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-467", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 0, 0],\n [2, -1, -3, 3],\n [0, -3, 2, 2],\n [0, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "863", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-3, -1, 2, 2],\n [-1, 3, 0, -4],\n [2, 0, 1, -2],\n [2, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-360", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -2, 2],\n [0, 0, 2, 0],\n [-2, 2, -4, -2],\n [2, 0, -2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "352", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -1, -1],\n [3, -4, -2, -4],\n [-1, -2, -4, -4],\n [3, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1057", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 2, 4],\n [1, 4, -3, -1],\n [-1, 3, 1, 4],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "545", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, 4, -3],\n [3, -4, 0, -2],\n [1, 1, 4, 1],\n [-3, -3, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7819", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 0, -2],\n [2, 0, 0, -4],\n [0, 0, -3, 2],\n [-2, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -2, -2],\n [-4, -4, -2, -2],\n [-2, -2, -1, 4],\n [-2, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10650", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 3, 3, -3],\n [-3, -4, 3, 0],\n [-4, 2, -3, -1],\n [3, -4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 2, -2],\n [-1, -3, 0, 0],\n [2, 0, -4, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-352", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 3, -4, 2],\n [3, -3, -1, -2],\n [-4, -1, -4, 3],\n [2, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11269", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 2, 2, -1],\n [2, 4, -2, 2],\n [2, -2, 2, 1],\n [-1, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -4, 0, 0],\n [-4, -1, -1, 2],\n [0, -1, -3, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-592", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -3, 2],\n [0, -2, 2, 2],\n [-3, 2, -2, -1],\n [2, 2, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1078", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0, 2],\n [1, -4, -2, 4],\n [0, -2, 3, -3],\n [2, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, 1, 0],\n [4, -4, -1, -1],\n [1, -1, -4, -2],\n [0, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2993", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, 2, -1],\n [4, 2, 1, 0],\n [2, 3, 3, -4],\n [1, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, 3, -1],\n [-1, -4, 0, -2],\n [3, 0, 4, 0],\n [-1, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5812", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 2, 3, 2],\n [2, 0, -1, 2],\n [3, -1, 4, -1],\n [2, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, -2, 1, -1],\n [-2, -1, -2, 0],\n [1, -2, 3, 0],\n [-1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, 2],\n [2, 3, 3, 0],\n [0, 3, -4, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "443", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 3, 0, -2],\n [4, -3, 1, -1],\n [4, 3, -1, 3],\n [-4, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "768", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 0, 1],\n [2, -1, 0, 1],\n [0, 0, -3, 2],\n [1, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, 3, 3],\n [1, -1, 4, -3],\n [4, 0, 1, 2],\n [0, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, -2, -3],\n [1, -1, 1, 2],\n [4, -3, 4, -3],\n [2, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5147", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -1, 4],\n [0, -4, 3, 1],\n [0, 3, -1, 4],\n [-3, 0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 4, -1, -4],\n [-2, 1, -2, -4],\n [2, 3, -1, 1],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-1, -1, 3, 2],\n [0, -4, 3, 1],\n [4, -3, 4, -2],\n [2, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-348", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 4, -2, -4],\n [-1, -3, -3, -4],\n [2, -4, 3, 3],\n [4, 1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9622", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, 2],\n [2, 3, 0, -4],\n [0, 0, -3, -2],\n [2, -4, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11547", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, 1, 0, -1],\n [1, 0, 2, -2],\n [0, 2, -3, 0],\n [-1, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 3, 0],\n [-4, -2, -2, -3],\n [3, 2, 4, -1],\n [-2, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "548", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, -2, -1, 4],\n [4, -2, 4, 3],\n [-1, -3, 1, 0],\n [4, -4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, -2],\n [2, 1, 2, 0],\n [-2, 2, 2, 2],\n [-2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1023", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 2],\n [2, 2, -2, 4],\n [-2, -2, -1, 0],\n [2, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 4, 2],\n [0, -4, -2, -1],\n [4, -2, -3, 2],\n [2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6634", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 3, 2, 2],\n [3, 1, -2, 1],\n [2, -2, -1, -1],\n [2, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7439", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[0, -2, 3, -2],\n [-2, -2, -1, -3],\n [3, -1, 0, 0],\n [-2, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, 0, 2],\n [4, 3, 0, 2],\n [0, 0, 2, -2],\n [2, 2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "982", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[1, 4, 4, -3],\n [-4, -1, -1, 2],\n [4, 0, -2, 1],\n [-3, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-532", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, -1],\n [0, 0, 2, 0],\n [-2, 2, -2, -1],\n [-1, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "746", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 4, -3, 2],\n [0, 0, 0, 3],\n [2, -3, 2, 4],\n [-3, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -1, 0],\n [-2, 0, -4, -2],\n [-1, -4, -3, 4],\n [0, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7398", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 0, -1],\n [1, -2, 4, -2],\n [1, 2, 2, 1],\n [-3, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-434", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 2],\n [-2, 2, -1, -2],\n [0, -1, -4, -2],\n [2, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "787", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, 1, 1],\n [-1, 4, 0, -2],\n [1, 0, 4, 0],\n [1, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -4, 0],\n [-2, 1, -4, 2],\n [-4, -4, -3, 0],\n [0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2554", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, -1, 1, 0],\n [-1, -4, 0, -1],\n [1, 0, 1, 0],\n [0, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, 0, 4],\n [1, -1, 4, 2],\n [0, 4, 2, 2],\n [4, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15785", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -2, -3],\n [2, 3, 0, 2],\n [-2, 0, 3, 0],\n [-3, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6207", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, 2, 2],\n [-2, 2, 3, -1],\n [1, 4, -2, 2],\n [-3, -4, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-567", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 1, 1],\n [3, -1, 0, -2],\n [1, -2, 4, 3],\n [2, 4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "608", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2, 0],\n [0, 4, 0, 0],\n [2, 0, 0, -3],\n [0, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, -3, -2],\n [-2, -1, -2, 0],\n [-2, 1, -2, 0],\n [0, 4, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, -1, -1],\n [1, 2, 1, 2],\n [-1, 1, -2, -2],\n [-1, 2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1509", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -2, -4],\n [0, 4, -2, 0],\n [-2, -2, -2, -3],\n [-4, 0, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1298", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, -1, 0],\n [2, 2, 2, 4],\n [3, 3, -2, -4],\n [2, 4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, -1, 1],\n [2, -2, 2, 3],\n [-1, -3, 1, 2],\n [4, -2, -1, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -3, -2, -1],\n [-2, -2, 2, 2],\n [4, 0, -3, -1],\n [2, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 3, -2],\n [-1, 4, -1, 4],\n [1, -1, 2, -2],\n [-2, -2, -2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 2, 0, 0],\n [2, -3, 0, -2],\n [0, 0, 2, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, -3, 0],\n [-1, 4, 3, -4],\n [3, -4, 3, 1],\n [-3, -2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7491", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -2, 0],\n [2, 1, 2, 2],\n [-2, 2, 3, -1],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1222", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -2, 0],\n [3, -3, 0, -3],\n [-2, 0, 1, -3],\n [0, -3, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-354", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 0, 3],\n [-1, 0, -4, 1],\n [0, -4, 2, 2],\n [3, 1, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 0, 0],\n [0, 2, -1, 1],\n [0, -1, 4, -4],\n [0, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -3, -4],\n [-3, -1, 2, 0],\n [-3, 2, -2, 3],\n [-4, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10846", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 2, 0],\n [0, -3, -4, 0],\n [2, -4, -1, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2167", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, -2, 2, -4],\n [1, -4, 1, -4],\n [-4, -3, 0, -4],\n [-4, 3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-443", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[2, -4, -4, 1],\n [-1, -3, 0, -3],\n [-2, -2, -4, -4],\n [2, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "589", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[0, -3, -1, 0],\n [-3, -3, 0, 2],\n [-1, 0, -2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -3, 0],\n [-2, 0, 3, -4],\n [2, -3, -1, -1],\n [-3, -1, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "611", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, 3, 2, -2],\n [2, 3, -2, 2],\n [-4, 3, -4, -3],\n [-2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-4, 0, 2, 1],\n [0, -4, -2, -2],\n [2, -2, 2, -4],\n [1, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-558", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, 1, -2],\n [0, 2, -3, 0],\n [1, 3, 2, -2],\n [-1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, -3, -4],\n [-4, -3, -4, 2],\n [3, -3, 4, -3],\n [-3, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2560", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 1, -2],\n [3, -4, 4, -4],\n [1, 3, -3, 1],\n [3, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "936", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, 1, -3],\n [-1, 4, 1, 2],\n [-2, 1, 0, -3],\n [-1, 3, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2256", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, -2, 3],\n [-3, -1, -4, 0],\n [3, -4, -1, -2],\n [0, 2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1134", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 1, 0],\n [-2, -4, 0, 2],\n [1, 0, -2, 1],\n [0, 2, 1, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -2, 0],\n [1, 4, 2, -1],\n [-2, 2, -2, 1],\n [0, -1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2065", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -2, 1],\n [2, 1, -2, 1],\n [-2, -2, -3, -2],\n [1, 1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "465", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, -4, -4],\n [-3, 2, 4, 1],\n [0, -4, -4, -2],\n [3, -4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "740", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, -1, 2],\n [1, 2, -4, 0],\n [2, -2, 0, -4],\n [-2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2026", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -4, 2, 2],\n [-4, -4, 0, 0],\n [2, 0, 0, 0],\n [2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4693", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 1, 0],\n [1, -2, -1, -1],\n [-2, 2, 3, 3],\n [1, -1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1302", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, 0],\n [-2, -2, 2, -2],\n [0, 2, 1, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -1, 0, -1],\n [3, -3, -2, 0],\n [-1, -2, -1, 1],\n [-1, 4, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1514", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, -2, -2, 4],\n [3, 1, 0, 1],\n [-3, 1, -2, 4],\n [4, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-2, -1, -1, -4],\n [1, -4, -2, 0],\n [-2, 3, 3, 1],\n [-4, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "437", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0, 0],\n [-2, -1, -2, -4],\n [0, -2, -3, 0],\n [0, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7588", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 3, 0],\n [0, -3, 0, 2],\n [3, 0, 3, 1],\n [0, 2, 1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, -2, 2],\n [-2, 2, 3, 2],\n [-1, 1, 0, 3],\n [2, -3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, -3, 2, 4],\n [2, 2, -2, 1],\n [0, -4, -1, -2],\n [-3, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[3, -4, 0, -2],\n [-4, -4, 0, 2],\n [0, 0, 1, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 0, 2],\n [-1, 1, 0, 0],\n [0, 0, 2, -1],\n [2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "490", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, -4, -1],\n [-4, -1, 0, 2],\n [0, 3, -2, -4],\n [-4, -1, 4, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 0, -2],\n [-3, 1, 0, 0],\n [0, 0, 0, 0],\n [-2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "560", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -2, -2],\n [-2, -3, 2, 1],\n [1, 0, 3, 2],\n [-4, 1, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 3, 3],\n [-2, 4, 2, -2],\n [-4, -1, 0, -2],\n [-4, 2, 2, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-348", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -3, -2],\n [-2, 3, 2, 3],\n [-3, 2, 4, 1],\n [-2, 3, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3280", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 1, 0],\n [4, 2, 1, 2],\n [0, 4, 2, 3],\n [-3, -4, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1253", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, -1, -4],\n [0, -3, -4, -1],\n [2, 3, -3, 1],\n [0, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "310", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 0, -1],\n [-3, -2, -4, 3],\n [-1, 1, -1, -2],\n [3, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 4, -2],\n [-2, -2, 0, -2],\n [4, 0, -3, 2],\n [-2, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6075", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2, 3],\n [4, 0, 1, 1],\n [2, -4, 1, 1],\n [2, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 1, 3],\n [4, -4, 2, -3],\n [-4, -3, 1, -1],\n [1, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "860", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 1, 0],\n [1, 2, -3, -4],\n [1, -3, 3, -4],\n [1, 4, -4, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, -1, 2],\n [0, 2, 3, 3],\n [-2, 3, -4, 1],\n [-2, 0, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 2],\n [-3, 3, 4, -2],\n [1, 4, 1, -4],\n [2, -1, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -4],\n [2, -2, 0, 0],\n [2, 0, -2, -2],\n [-4, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "352", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-4, -2, -1, 4],\n [-2, -1, 2, 4],\n [1, 2, 3, 1],\n [1, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 3, -3],\n [4, 1, -2, -3],\n [1, 1, -4, -4],\n [-4, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1374", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[0, -2, -1, 0],\n [-2, 3, 0, 0],\n [-1, 0, -2, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 3, 0, 4],\n [3, -4, 4, 0],\n [-2, 0, 0, 4],\n [4, 0, -3, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -2],\n [-2, -1, -2, -2],\n [0, -2, 1, 0],\n [-2, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "667", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 1, 1],\n [-2, 4, 0, 2],\n [1, 0, -3, 2],\n [1, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "683", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 2, 0],\n [3, 4, 0, 0],\n [2, 0, 0, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, 2, -2],\n [2, 4, 0, 1],\n [2, 0, 4, 1],\n [-2, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "421", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 4, 2],\n [0, 4, 0, 0],\n [4, 0, -4, -1],\n [2, 0, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1150", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 1, -3],\n [3, 2, -4, -2],\n [0, 0, -2, 2],\n [4, 3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-753", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 3, 1, 4],\n [3, 1, -2, -2],\n [2, -1, 1, 3],\n [-2, -1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "719", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[3, 3, 2, -4],\n [-2, 3, 1, 4],\n [1, 0, 0, 0],\n [2, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -1, 3],\n [3, -2, 4, -3],\n [-3, 0, 3, -1],\n [2, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, -1, 2],\n [0, -1, 0, 1],\n [-1, 0, 1, 2],\n [2, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, 2, 1],\n [-1, -3, -2, 2],\n [3, 4, 3, -4],\n [-1, -4, -1, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "653", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -2, 1],\n [2, 4, -2, -3],\n [3, 1, -4, 0],\n [4, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "465", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, 1, 2],\n [0, -3, -4, -3],\n [-4, -2, 3, -1],\n [-3, 2, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-836", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[0, -3, 1, 0],\n [-3, 1, 0, -1],\n [1, 0, -2, -2],\n [0, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, -2, -4],\n [4, -3, 2, 0],\n [1, 4, -3, -3],\n [-2, -4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2709", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 1, -3],\n [2, 1, -2, -2],\n [3, -1, -2, 4],\n [-3, 2, -1, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 1, 0],\n [-1, -4, 0, 3],\n [4, -2, -3, 3],\n [2, 3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1203", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 2, -2],\n [-2, 3, -2, -2],\n [2, -2, 4, -3],\n [-2, -2, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, -3, -3],\n [-2, 4, -3, -1],\n [-4, -2, 4, -3],\n [0, -4, 1, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[2, -3, -4, -1],\n [-2, 1, 3, 2],\n [2, -1, 1, 2],\n [-4, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, 2, 1, 0],\n [-2, -3, 1, -3],\n [4, 0, 1, -2],\n [-3, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, 0, 0, 0],\n [-4, -3, 0, 0],\n [1, -4, -3, -2],\n [-3, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, -2, -1],\n [2, 0, -1, 2],\n [3, 1, -1, -3],\n [-1, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -3, 0],\n [-2, -2, 1, 4],\n [2, 4, -1, 4],\n [-4, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, -3, 0],\n [4, -4, -4, 2],\n [-2, -1, -3, 0],\n [-4, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12812", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[0, 0, 2, 0],\n [0, -1, 0, 3],\n [2, 0, 0, -2],\n [0, 3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-633", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, 2, -4],\n [-4, 4, 2, -1],\n [-2, -4, 1, 3],\n [-1, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -4, 0],\n [1, 1, -1, -4],\n [-4, 2, -2, -3],\n [4, 3, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "336", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 4, 3, 1],\n [-2, -1, -1, 4],\n [-4, 3, 2, 0],\n [0, 1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[3, -4, 3, 0],\n [-4, 2, 3, -1],\n [-3, -4, 3, -1],\n [-3, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[2, 3, 0, 0],\n [3, 1, -2, -3],\n [0, -2, 1, -1],\n [0, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-1, 0, 3, 2],\n [-1, -2, 0, -2],\n [3, -2, 3, -3],\n [2, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, 0],\n [-2, -4, 1, -2],\n [-4, -2, -4, 1],\n [3, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, 4],\n [1, 3, 4, 0],\n [4, 3, 2, -2],\n [1, -2, 3, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 0, 0],\n [2, 3, 0, 0],\n [0, 0, -2, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 3, 2, 3],\n [-1, -4, -4, 2],\n [0, -1, 3, 1],\n [-3, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "593", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -2, -2, -2],\n [-2, -4, 1, 0],\n [-2, 1, 0, 0],\n [-2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2463", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 3, -1],\n [2, 1, 0, 1],\n [3, 0, -1, 2],\n [-1, 1, 2, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, 2, 3],\n [2, 3, -3, -3],\n [4, 3, -1, -4],\n [-3, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1043", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 2, 1],\n [0, -4, -4, 3],\n [1, 4, 2, 2],\n [-3, 1, 3, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, -2, -1],\n [-2, 0, 2, -3],\n [-2, 2, -3, 0],\n [-1, -3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4312", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0, -1],\n [0, -2, 3, -1],\n [0, 3, 3, 0],\n [-1, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, 2, -2, 0],\n [2, 3, -2, 0],\n [-2, -2, -3, 2],\n [0, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 2, -2],\n [4, 4, 2, -2],\n [2, 2, 2, -4],\n [-2, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26330", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 2, -3],\n [0, -3, 2, 3],\n [1, -1, -4, 2],\n [1, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-1, 3, 3, -2],\n [3, -3, 0, 3],\n [1, 1, -4, 4],\n [1, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2162", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, 0],\n [-2, 2, -2, -4],\n [0, -2, 2, -1],\n [0, -4, -1, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, 3, 0],\n [2, -3, -4, -1],\n [3, -4, -3, 0],\n [0, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-700", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 1, 4, -3],\n [-4, 0, 4, -2],\n [3, -3, 1, -1],\n [2, -2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "658", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, 3, 2],\n [-1, 4, -2, 0],\n [3, -2, -3, 0],\n [2, 0, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1626", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, 4, 1],\n [0, -4, 2, 2],\n [4, 2, 2, 0],\n [1, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4462", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, 2, 4],\n [-4, 2, 0, 0],\n [2, 0, 1, 0],\n [4, 0, 0, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[4, 3, 1, -1],\n [2, -2, -2, 4],\n [0, 3, -4, 2],\n [2, -3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, 1, 0, 0],\n [1, -4, -1, 0],\n [0, -1, -3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -2, 2],\n [0, 2, 0, 0],\n [-2, 0, -1, -2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 2, 2],\n [2, -2, 0, 2],\n [2, 0, 2, -2],\n [2, 2, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4749", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-4, 4, -3, 1],\n [0, -2, -4, 0],\n [1, 2, -3, -1],\n [4, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -4, 3],\n [2, -4, 4, -1],\n [-4, -1, -3, 1],\n [1, 0, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1321", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, -2, 4],\n [4, 2, 0, 4],\n [4, -1, -4, 4],\n [1, 2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1286", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[4, -4, 1, 2],\n [1, 4, 4, 4],\n [4, -2, 1, 3],\n [-3, -4, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -1, -2, -4],\n [4, -1, 0, 4],\n [4, 0, 1, -4],\n [1, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1565", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-4, 0, 0, 4],\n [-1, -2, 1, 0],\n [-4, -4, -1, 4],\n [1, -3, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-324", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-1, 0, -3, 2],\n [4, 2, -3, -3],\n [3, 3, 3, -4],\n [3, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, -4, -2, 1],\n [-3, 4, -3, -4],\n [1, 4, 2, -2],\n [1, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 3, -4],\n [2, -2, 0, 0],\n [3, 0, 0, -2],\n [-4, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[4, -1, -4, 0],\n [-1, 1, 1, 0],\n [-4, 1, -3, -4],\n [0, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-2, -4, -1, -3],\n [3, -4, 1, 2],\n [-3, 0, 4, -4],\n [-3, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 1, -3, -3],\n [1, -2, -2, 0],\n [-3, -2, -1, 0],\n [-3, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "386", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 3],\n [0, -2, -3, 3],\n [0, -3, 4, 2],\n [3, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2769", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, -3, -1],\n [3, 1, 2, -4],\n [-1, -1, 3, 4],\n [-4, -1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, 4, 0],\n [-1, 3, -3, 0],\n [4, -3, 0, 2],\n [0, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1460", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, -1, 1],\n [-3, 2, 3, 0],\n [-3, -4, 0, 4],\n [4, -2, 2, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-406", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -4, -4, 2],\n [-1, 2, 4, -3],\n [-1, 1, 2, 2],\n [-4, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "327", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, 1, 3],\n [4, 3, 0, -2],\n [1, 0, -3, -2],\n [3, -2, -2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, 2, 3, 1],\n [-4, -3, 2, -3],\n [-1, -4, -2, 3],\n [1, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-537", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 0, 3],\n [4, -3, 3, -2],\n [-3, -4, 0, -3],\n [3, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5368", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 1, -3, 3],\n [4, -4, 2, 3],\n [-2, 3, 4, 4],\n [-2, -3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1966", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 2, -1, -2],\n [0, -3, 1, -3],\n [2, -3, -4, -1],\n [0, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 0],\n [0, 0, 1, -2],\n [0, 1, -3, 0],\n [0, -2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "863", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 4, 4, 3],\n [-1, -2, 1, -2],\n [3, 1, -2, 4],\n [0, 3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1830", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, -2, -1],\n [-2, 2, 2, 3],\n [-1, 3, 0, 2],\n [4, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5328", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, 2, 4, 3],\n [2, 0, -2, 3],\n [4, -2, 1, -1],\n [3, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "596", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, 1, 2],\n [-4, 2, -2, 2],\n [1, -2, 1, 0],\n [2, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "928", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[1, -2, -4, -3],\n [-1, -4, -1, -2],\n [4, 3, 1, 2],\n [-1, 2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 1, -2, 0],\n [1, -3, -3, -1],\n [-2, -3, 0, 3],\n [0, -1, 3, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-292", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, 2, -2, 0],\n [2, 3, 1, 0],\n [-2, 1, -2, -2],\n [0, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, -4, -4],\n [0, -1, 1, 4],\n [1, -1, 1, -3],\n [3, 2, 4, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 2, -2],\n [-2, -4, 2, -4],\n [2, 2, -2, 0],\n [-2, -4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5813", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 3, 4],\n [2, -4, -4, 4],\n [0, -2, -3, 3],\n [4, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1966", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 3, -2, -4],\n [-1, 2, -2, 3],\n [-4, -1, -1, -1],\n [4, -4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 4, -1],\n [-4, -4, 2, -1],\n [0, -1, 0, 3],\n [-4, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3336", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, 1, 1],\n [4, 1, -1, 4],\n [-1, -1, -4, 1],\n [-1, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3381", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -4, 2, -4],\n [-2, 2, -2, 2],\n [3, 3, -4, -4],\n [4, 1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12957", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -2, -2],\n [-2, 3, 0, 2],\n [-2, 0, -3, -2],\n [-2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1155", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 1, -2],\n [0, -4, 0, 2],\n [1, 0, 1, 3],\n [-2, 2, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "573", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -4, 2, 4],\n [-4, -1, 0, 0],\n [2, 0, -2, 4],\n [4, 0, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 0, -2],\n [-1, 2, 3, 2],\n [0, -4, -4, 4],\n [-1, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2311", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2, -2],\n [0, -2, 0, -1],\n [-2, 0, 2, 1],\n [-2, -1, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "364", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, -2, 0],\n [-2, -3, -2, 0],\n [-2, -2, -4, -2],\n [0, 0, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1902", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, 0, 0],\n [2, -1, 2, 0],\n [0, 2, 0, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1194", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 0, 1],\n [-2, -4, 1, 0],\n [0, 1, -4, 0],\n [1, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, -1, 2],\n [4, -1, -2, 4],\n [4, 2, 4, -1],\n [2, 1, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, 2, -2],\n [0, -1, 2, -2],\n [2, 2, -4, 2],\n [-2, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1553", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-3, 2, -3, -1],\n [-1, 2, 4, 2],\n [3, 3, 2, -3],\n [2, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "396", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 4, -4, -4],\n [-3, -4, 4, -1],\n [-4, -4, -2, -2],\n [0, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5261", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 4],\n [-4, 0, -4, 0],\n [-3, -4, 4, 2],\n [2, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2243", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, -4, -3],\n [0, -3, 2, 3],\n [1, 1, 2, -2],\n [0, -3, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[3, 1, 3, -3],\n [3, -3, 2, -3],\n [-2, 0, 3, 0],\n [3, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-369", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 0, -4],\n [-1, -2, -2, 2],\n [3, 2, -2, 0],\n [2, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, 0, 3],\n [3, -3, 0, -1],\n [0, 0, -2, 0],\n [3, -1, 0, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "618", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, -4, 2],\n [-4, -4, -3, -4],\n [-3, -4, -3, 2],\n [-3, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7718", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[4, 1, -1, 3],\n [-1, -1, -3, -3],\n [0, -1, 0, 1],\n [3, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-273", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-1, -1, 1, -3],\n [3, -2, 0, 3],\n [-4, -3, -2, 0],\n [1, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, -4],\n [2, 3, 0, 2],\n [0, 0, -1, -1],\n [-4, 2, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2395", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 4, 2],\n [2, -3, 1, 4],\n [4, 1, -1, 2],\n [2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1542", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, -1, 4],\n [3, 2, -3, -3],\n [-4, 3, 4, 2],\n [1, -2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2986", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -1, 1],\n [-1, -3, -4, 1],\n [-1, -4, -3, -2],\n [1, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1212", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -2, -2],\n [-2, 2, 2, 0],\n [-2, 2, 3, -1],\n [-2, 0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1129", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -3, 0, -1],\n [-3, 3, 0, 0],\n [0, 0, -3, 0],\n [-1, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "693", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 1, 2],\n [3, 3, 2, 4],\n [-3, -3, 3, -1],\n [-1, 1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5472", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, 4, 3],\n [4, -3, -1, 2],\n [-1, 1, 2, 4],\n [0, 2, 4, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -1, 1],\n [0, -1, -1, -2],\n [-1, -1, -3, 0],\n [1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1098", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 1],\n [-3, -4, -4, -3],\n [4, -2, -4, -2],\n [-2, -1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1190", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, 1, 1, -2],\n [-1, -1, -4, -1],\n [-4, -3, -4, 3],\n [-4, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, -4, 1],\n [0, 2, -4, 1],\n [-3, -4, -3, -1],\n [-2, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5827", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 1, -4],\n [2, 1, 4, -2],\n [0, 3, 0, -2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "750", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, -2, -1],\n [0, -1, 3, 0],\n [-4, 3, 3, -2],\n [1, 3, 1, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 0],\n [0, -4, 3, -1],\n [0, 3, -2, 1],\n [0, -1, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4345", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 2, -1],\n [2, -2, 0, 2],\n [2, 0, 4, 0],\n [-1, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "821", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 3, 0, 0],\n [3, 1, 2, 4],\n [0, 2, 4, 0],\n [0, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "694", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, -2, 1, 3],\n [1, -3, 3, 4],\n [-4, 0, -1, -3],\n [-1, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-847", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, -2, 2],\n [-1, 3, 2, 2],\n [-2, 2, 4, -2],\n [2, 2, -2, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, -3, 2],\n [4, 4, 1, 0],\n [-4, 1, 3, -4],\n [4, -1, -3, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, -1],\n [0, 1, 4, 0],\n [0, 4, -2, -1],\n [-1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "509", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, 3, 2, 2],\n [3, -4, 0, 3],\n [2, 0, 2, 3],\n [2, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "876", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -1, 0],\n [-2, -1, 1, 3],\n [-3, 3, 1, -1],\n [4, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "532", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -1, -1],\n [1, 0, 0, 2],\n [-1, 0, 2, 0],\n [-1, 2, 0, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, -3],\n [0, 2, 0, 0],\n [0, 0, -2, -2],\n [-3, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-510", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 3, -4],\n [-1, 1, 4, 0],\n [-4, 0, -4, 2],\n [-2, -3, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -1, -3],\n [-2, -1, -1, -4],\n [-2, 3, 0, 4],\n [0, -1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "521", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-4, -4, 2, -2],\n [3, 4, 3, 4],\n [3, -1, 2, 3],\n [-4, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -2, -3],\n [-2, -3, -2, -2],\n [-2, -2, 3, -2],\n [-3, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18995", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, -2],\n [2, 4, 0, -1],\n [-2, 0, -2, 0],\n [-2, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-364", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, 4, 2, 3],\n [-2, 2, 1, -1],\n [0, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1008", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 2, -2],\n [-2, -4, -2, 0],\n [2, -2, -1, -2],\n [-2, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "907", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 1, 2],\n [0, -1, -2, -3],\n [1, -2, -3, 2],\n [2, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7302", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 1, 1, 0],\n [-3, 1, 3, -2],\n [-3, -3, -4, 0],\n [0, -1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, 3, 2, 1],\n [-3, 0, -1, 3],\n [3, -2, 2, -3],\n [-4, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, 3, 0],\n [4, 0, -2, 0],\n [3, -2, 4, 0],\n [0, 0, 0, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -1, 1],\n [0, -3, -1, 2],\n [-1, -1, -2, 0],\n [1, 2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[1, -4, -1, 2],\n [-4, -1, -4, 0],\n [-1, -4, -4, 0],\n [2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[1, -4, 0, 3],\n [0, -4, 3, 1],\n [-4, -4, 2, -1],\n [-1, 4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, -1, -4],\n [3, -4, -1, 4],\n [-3, 4, 4, 4],\n [3, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10087", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[0, -2, 1, 0],\n [4, 3, -3, 0],\n [4, -3, 1, -3],\n [4, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, -1, 2, -2],\n [-1, 2, -1, -2],\n [2, -1, 0, 1],\n [-2, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[4, 2, -1, -1],\n [2, -4, -2, -2],\n [-1, -2, 1, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-397", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, 4, -2],\n [-3, 1, -2, 4],\n [0, 4, -3, -4],\n [4, 1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9871", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, 2, 0],\n [-4, 1, 1, -4],\n [2, 1, -3, -2],\n [0, -4, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12549", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, -4, -4],\n [1, 4, -3, -2],\n [-4, 1, -2, 0],\n [3, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3522", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -3, -1, 2],\n [1, 4, 2, -2],\n [-1, -4, -3, 0],\n [3, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 2, -1],\n [0, -1, -2, 0],\n [2, -2, 4, 2],\n [-1, 0, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "599", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 2, -1],\n [0, -4, 0, 0],\n [2, 0, 2, -2],\n [-1, 0, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3877", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -4, -3, -3],\n [0, 1, 4, -3],\n [0, 3, 4, -3],\n [3, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1474", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, 4, -4, -3],\n [-2, 2, 0, -1],\n [-3, 2, 0, -4],\n [3, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "287", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 3, 2],\n [1, -4, -2, -2],\n [4, 1, 0, 0],\n [3, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1191", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, -2, -1],\n [2, 0, 1, 1],\n [-2, 1, 2, 1],\n [-1, 1, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -3, -1],\n [0, 1, 4, 3],\n [1, 3, -2, -4],\n [0, 2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 0, 2],\n [0, 1, 0, 0],\n [0, 0, 3, 1],\n [2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, 0, 1, -4],\n [4, 2, 3, -3],\n [1, -2, -3, -3],\n [1, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-4, 0, 4, -2],\n [3, 3, 3, 1],\n [1, -3, -2, -3],\n [4, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0, -3],\n [4, -1, 2, 4],\n [-1, 1, 2, 1],\n [-1, 1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "290", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[0, 4, -1, 3],\n [-4, 3, -1, 1],\n [0, 0, 2, 0],\n [-1, -3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 3, -2, 3],\n [-4, 1, -2, 2],\n [0, -1, 4, -4],\n [-2, 4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 0, -4],\n [-4, -2, 3, 3],\n [4, 3, 1, -3],\n [-4, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19782", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, -4, 1],\n [1, -3, 1, -1],\n [-4, 1, 3, 1],\n [1, -1, 1, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 1, 1],\n [0, -2, 2, 2],\n [1, 2, -3, 1],\n [1, 2, 1, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, -4, 1],\n [-3, -4, 0, 0],\n [-4, 0, -4, 0],\n [1, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1089", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 3, -1],\n [-2, 3, 2, 1],\n [1, -4, 1, 3],\n [3, -4, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, 3, -1, -3],\n [0, -3, 4, -3],\n [-1, 0, 4, 0],\n [1, 0, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -3, -4, 4],\n [-3, 4, 3, 1],\n [-2, 4, 0, 2],\n [4, -3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-786", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, 0, 0, 2],\n [0, 2, -2, -1],\n [0, -2, -2, 2],\n [2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-2, 2, 0, -1],\n [-4, 1, 0, 2],\n [-3, 1, 2, 4],\n [0, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, 1, 3, 3],\n [-2, -4, 1, 1],\n [-4, 1, -2, -1],\n [1, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 0, -3],\n [-2, 3, 0, 0],\n [3, -2, 2, 4],\n [0, -2, -3, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 3, -4, 3],\n [-4, 0, -2, 1],\n [0, 1, 0, 3],\n [3, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "288", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 4, 0, -2],\n [4, 2, 0, -3],\n [0, 0, 1, 1],\n [-2, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2378", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, -3, 2],\n [-3, 0, -2, 0],\n [4, 1, 0, -2],\n [-3, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "748", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-4, 0, 0, 0],\n [0, -2, -2, 0],\n [0, -2, 4, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, 2, -4],\n [-4, 3, 2, 0],\n [-3, 4, 2, 3],\n [-4, -1, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16221", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-4, 4, -2, 2],\n [4, -2, -3, -3],\n [-2, -3, -4, -1],\n [2, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "884", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -4, -4],\n [-3, 2, 1, 3],\n [-3, 4, 0, 0],\n [-4, -1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1167", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, 1],\n [0, -1, -3, 0],\n [0, -3, 3, -2],\n [1, 0, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4462", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, -1, 4],\n [2, 0, -3, -1],\n [-2, 1, 3, -1],\n [2, 4, 2, -1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0, 1],\n [-1, -1, -2, 0],\n [2, -4, 2, 4],\n [2, 3, -4, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, -2, -2],\n [-2, -1, -2, 2],\n [-2, -2, 0, 0],\n [-2, 2, 0, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[0, -2, 3, 1],\n [-1, 1, 3, -3],\n [4, 2, 2, -3],\n [1, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 4, 4],\n [0, -2, 0, 2],\n [4, 0, -4, -2],\n [4, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1766", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 0, 0],\n [-1, -1, 2, 4],\n [-2, 2, 3, -2],\n [0, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, -4, 0],\n [0, 0, 3, -1],\n [4, -3, -4, 0],\n [2, 1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "580", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, 0, -1],\n [-2, -1, -1, 4],\n [-1, -1, -3, 3],\n [4, -1, -4, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 2, 2],\n [2, -4, -2, -1],\n [2, -2, -1, 3],\n [2, -1, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "488", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 4, 3],\n [2, -1, 0, 2],\n [4, 0, 3, 0],\n [3, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4972", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-1, 0, 2, -4],\n [0, 1, -1, -2],\n [2, -1, 1, -2],\n [-4, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 0, 0],\n [0, 2, -2, 1],\n [0, -2, -2, -2],\n [0, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-340", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, -2],\n [0, 4, 0, -2],\n [-2, 0, 1, -2],\n [-2, -2, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1257", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 0, -1],\n [0, 3, 0, 4],\n [0, 0, -3, 2],\n [-1, 4, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5395", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 2, 3],\n [-1, -3, -1, -1],\n [3, 0, 4, -1],\n [2, 1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "663", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, -2, 1],\n [2, 0, 2, 2],\n [-2, 2, -2, 1],\n [1, 2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2487", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-3, 0, -1, 3],\n [-2, -3, -2, 0],\n [-3, -1, -2, 0],\n [1, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -2, -3],\n [0, 2, -2, 2],\n [-2, -2, 1, 0],\n [-3, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -4, 0],\n [-2, -2, 0, 2],\n [-4, 0, -3, -4],\n [0, 2, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7286", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 0, 2],\n [0, -3, -4, 0],\n [0, -4, -3, 2],\n [2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1085", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, 0],\n [2, 0, 2, -4],\n [0, 2, 4, -3],\n [0, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "324", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -3, -2, -1],\n [-3, -2, 0, -1],\n [-2, 0, -3, 2],\n [-1, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2916", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 0, 0],\n [0, -3, -3, 1],\n [0, -3, 2, 3],\n [0, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 0, 1],\n [2, -4, 1, -1],\n [0, 1, 1, 0],\n [1, -1, 0, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 4, -4],\n [-1, -3, -1, 0],\n [2, 3, 0, 0],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 0],\n [2, -3, -2, 2],\n [0, -2, 0, -1],\n [0, 2, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "740", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 0, -1],\n [0, -2, 0, 0],\n [0, 0, -1, 2],\n [-1, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2110", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 0, 0],\n [2, 1, -3, -4],\n [0, -3, 1, -3],\n [0, -4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-530", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 2, 0],\n [2, 0, 4, 3],\n [2, 4, 4, 2],\n [0, 3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2987", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 0, 4, 1],\n [0, -1, 4, -4],\n [2, -2, -2, -1],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, -4, -1],\n [-4, -1, -3, -2],\n [-4, -2, 4, -4],\n [-1, -3, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-195", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, 0, -4],\n [3, 0, -2, 0],\n [0, -2, -4, 2],\n [-4, 0, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "470", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, 3, 2],\n [-3, 4, 4, 4],\n [-3, 0, 0, -4],\n [-3, -4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1294", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, 3, 1, 4],\n [3, -1, 1, -4],\n [1, 1, 1, 0],\n [4, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -2, 0, 2],\n [-2, 2, 2, -2],\n [0, 2, -2, -1],\n [2, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-2, 3, 0, 0],\n [3, 3, 1, -2],\n [0, 1, -2, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, 2, 2],\n [2, -4, 1, 3],\n [4, 3, 1, -4],\n [2, 3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, 2, -1, -2],\n [2, -3, -4, -2],\n [4, -4, -4, -2],\n [-1, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, 4, 1],\n [-4, 4, 0, -2],\n [4, 0, -4, 0],\n [1, -2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 0, -2],\n [-2, 3, 0, 2],\n [0, 0, 2, -3],\n [-2, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-539", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -2, 1],\n [2, -3, 0, 0],\n [-2, 0, -3, -2],\n [1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "414", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, 2, -2],\n [0, 0, -2, 0],\n [2, -2, 4, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2880", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-4, -2, 3, 0],\n [4, -3, -2, 2],\n [2, 2, 1, 1],\n [-2, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, -1, 3],\n [-2, 0, -3, -3],\n [1, -1, 4, -1],\n [3, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 3, -3],\n [1, -2, 3, -2],\n [1, -1, 1, 1],\n [-3, 3, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, 1, -4],\n [4, 0, -3, -1],\n [-2, -1, 1, 3],\n [2, 4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, -1],\n [3, -2, 1, -2],\n [1, 2, 4, 1],\n [-3, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "723", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -3, -4],\n [1, -1, 1, 2],\n [0, -2, -1, -2],\n [-3, 1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1242", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, -3, 1, 0],\n [-3, 1, 1, -2],\n [1, 1, 0, -3],\n [0, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -1, 3],\n [2, -2, -3, 0],\n [-1, -3, 0, -2],\n [3, 0, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10218", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, -2, -4],\n [1, 4, -2, -4],\n [-2, -2, 3, 3],\n [-4, -4, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33262", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 1, -2],\n [0, 4, 0, 2],\n [1, 0, -1, -3],\n [-2, 2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-4, 0, 2, 2],\n [0, 3, 1, 0],\n [2, 1, 1, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 4, 3, -3],\n [3, -2, -2, 0],\n [-2, 2, 3, 0],\n [-2, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -2, 4, 1],\n [-2, 2, 2, -4],\n [4, 2, 1, 0],\n [1, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, 3, -4],\n [2, 2, 2, 3],\n [3, -1, -1, 1],\n [-4, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 4, -4],\n [-3, -4, -3, -1],\n [3, -2, -2, 2],\n [-3, 4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1752", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-2, 2, -1, 1],\n [2, -2, 0, -1],\n [-1, 0, -2, 0],\n [1, -1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, 0, 3],\n [3, -3, -4, 2],\n [-4, 0, -1, 2],\n [1, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -1, -2],\n [-3, 4, -2, -1],\n [4, -2, -4, 2],\n [1, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3430", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-1, -2, 2, -3],\n [-2, 4, -2, -1],\n [2, -2, -4, -2],\n [-3, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, -1, -4],\n [4, -1, -3, -3],\n [-2, 3, 4, 1],\n [3, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1950", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 0, 0],\n [1, -4, 0, 0],\n [0, 0, 1, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, 2, -1],\n [4, -2, 0, 3],\n [0, -1, -3, 2],\n [2, -1, 4, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -1, 3],\n [0, 3, 0, 2],\n [1, 0, 1, -4],\n [0, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 2, -2],\n [-2, -2, 1, 3],\n [2, 1, 3, -2],\n [-2, 3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "949", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 4, 2],\n [-3, 3, -2, 0],\n [4, -2, 2, 3],\n [2, 0, 3, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-800", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 0],\n [0, 2, 1, -1],\n [0, 1, -2, -2],\n [0, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 4, 3, 0],\n [0, -4, -2, 1],\n [-3, -1, -3, -3],\n [0, 1, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5601", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 0, 0],\n [2, 1, -3, 0],\n [0, -3, 0, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 0, 2],\n [-1, 3, 1, 0],\n [0, 1, 1, 4],\n [2, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5951", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, -3, -4],\n [0, 4, -1, 0],\n [4, 0, 3, -2],\n [2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "750", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, 3, -3],\n [0, 4, 1, 2],\n [3, 1, 0, -2],\n [-3, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1153", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, -2],\n [-2, 0, -4, 0],\n [2, -4, 1, 2],\n [-2, 0, 2, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "644", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, 0, 0],\n [0, 1, -2, 0],\n [0, -2, -1, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1287", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -3, -2],\n [0, -1, 0, 0],\n [4, 3, 4, 3],\n [4, 4, 0, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[1, -1, -2, -3],\n [-1, 0, 1, -2],\n [3, -4, 3, -3],\n [-3, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 4, 2, 0],\n [4, -3, 2, -3],\n [2, 2, -4, 1],\n [0, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1794", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, 0, -1],\n [-1, 2, 3, 2],\n [4, -2, 4, -2],\n [1, 2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2028", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 0],\n [0, 2, 0, -4],\n [0, 0, 2, 2],\n [0, -4, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "483", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 2, 2],\n [-2, -2, 0, 2],\n [2, 0, 0, 3],\n [2, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -1, 2, 0],\n [-3, 2, -2, -2],\n [-3, 0, -3, 0],\n [-3, 1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 1, 0],\n [2, -1, 4, 0],\n [1, 4, -1, 4],\n [0, 0, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5550", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, -2, -2],\n [3, -4, 0, 2],\n [-2, 0, 2, -2],\n [-2, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1435", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 0, 0],\n [3, 1, 2, -2],\n [4, -3, -1, 1],\n [-2, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[3, 2, -4, -1],\n [1, -2, 4, 2],\n [-1, 0, -3, 1],\n [-4, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 3, -2],\n [0, -1, 1, -3],\n [3, 1, 3, -2],\n [-2, -3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1856", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 2, 2],\n [2, 4, 2, -4],\n [2, 2, 0, 2],\n [2, -4, 2, -2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -4, 4, -1],\n [4, 3, -1, -3],\n [1, -1, 4, -2],\n [4, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 2, 0, -2],\n [2, 1, 0, 1],\n [0, 0, -1, -2],\n [-2, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "822", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, 1, 3],\n [-1, -2, -3, -3],\n [0, 0, 1, 4],\n [4, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, 2, -1],\n [0, -4, -4, 3],\n [-1, 1, 1, 2],\n [2, 3, 1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 3, 3, 1],\n [-3, 1, 1, -1],\n [0, 4, -2, 0],\n [-2, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, -2, -4],\n [3, 3, 3, 1],\n [-2, -2, -3, 1],\n [-2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 2, -3],\n [-3, -4, 1, 4],\n [-2, 3, 0, 2],\n [4, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4762", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-2, 1, 2, 2],\n [1, 0, -1, 2],\n [2, -1, -2, 0],\n [2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -4, -2, 0],\n [-4, 0, 0, 0],\n [-2, 0, 3, 2],\n [0, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 1, 2],\n [0, -2, -1, 0],\n [1, -1, 1, -3],\n [2, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 4, 1],\n [0, 2, -1, -3],\n [-1, 3, -1, 3],\n [-4, 3, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-278", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, -2, -4, 0],\n [-2, 1, 4, 0],\n [-4, 4, 4, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 0, -1],\n [-1, -4, 2, 4],\n [0, 2, 1, 0],\n [-1, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11432", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -4, 0],\n [2, -2, 0, 1],\n [-4, 0, -1, 2],\n [0, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "753", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -1, 1],\n [0, -3, 2, -2],\n [-1, 2, 0, 1],\n [1, -2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "532", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 2, 0],\n [-1, -3, 2, 0],\n [2, 2, 3, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2149", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 0, 2],\n [0, -2, -1, -1],\n [0, -1, -4, 2],\n [2, -1, 2, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -4, 4, -1],\n [-1, -3, 3, 1],\n [-2, 3, 4, 0],\n [-2, -4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1049", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, 4, 3, 0],\n [0, 0, 3, -2],\n [-3, -4, 0, -2],\n [3, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[2, -2, -1, 1],\n [-2, 0, -2, 0],\n [-1, -2, 2, -1],\n [1, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 0, -1],\n [3, -4, -1, 1],\n [2, 1, -1, 1],\n [-2, 3, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -2, 0],\n [2, 0, 3, -1],\n [-2, 3, -2, -4],\n [0, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -2, 1],\n [-1, -4, -1, 0],\n [4, -3, 0, -4],\n [0, 0, -4, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "645", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 3],\n [-2, 4, 0, -2],\n [0, 0, 4, 4],\n [3, -2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2328", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-4, -3, -1, -1],\n [-3, -3, 0, -4],\n [-1, 0, 1, 2],\n [-1, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[3, 2, 4, 0],\n [2, -4, -2, -2],\n [4, -2, 2, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, 1, -1],\n [1, 2, -2, 0],\n [2, 2, -1, -1],\n [2, -1, 0, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 3, 2],\n [2, 1, 2, -2],\n [3, 2, 1, -4],\n [2, -2, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, 1, 1],\n [-1, -2, -2, -3],\n [3, -2, 3, 3],\n [4, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "475", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 2, 0],\n [0, 2, 2, 2],\n [2, 2, 0, 0],\n [0, 2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1698", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 4, 2],\n [2, 0, 2, 1],\n [4, 2, 4, 3],\n [2, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1919", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[1, 0, -3, -2],\n [1, 1, -3, -3],\n [-3, -1, 1, -3],\n [4, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, 4, -2],\n [0, 3, -2, -3],\n [4, -2, 1, 0],\n [-2, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "574", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[2, 0, 0, -2],\n [-4, -3, 2, -3],\n [4, 0, 0, -2],\n [-2, -4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "450", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, 3, -2, 2],\n [3, 4, 0, -1],\n [-2, 0, 1, 0],\n [2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-3, 0, 0, 1],\n [0, -1, -4, -1],\n [0, -4, -1, 0],\n [1, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, -2, -1],\n [2, 4, 0, 2],\n [-2, 0, 4, 4],\n [-1, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1286", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 3, -2],\n [-1, 0, -3, -3],\n [-4, 4, 0, 3],\n [-2, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "703", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, 3, -4, 1],\n [-2, 1, 1, 1],\n [1, 1, -2, 0],\n [4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[2, 0, 0, -3],\n [0, 2, -2, 4],\n [0, -2, 1, -1],\n [-3, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, 3, 0],\n [2, 1, 2, 2],\n [3, 2, -2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "987", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, -1],\n [-2, 2, 0, -2],\n [0, 0, 2, -1],\n [-1, -2, -1, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -4, 4],\n [-4, -2, 4, 4],\n [3, 2, 0, -4],\n [-3, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -3, -1, -4],\n [-1, 0, 4, 2],\n [1, 2, 4, 0],\n [-2, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1067", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[3, 0, 0, 0],\n [0, -4, -2, 1],\n [0, -2, 0, -3],\n [0, 1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -3, 3],\n [-3, -2, 0, -1],\n [0, 4, 4, -1],\n [2, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, -4, -1, -1],\n [1, -1, -4, -3],\n [3, 4, -3, 3],\n [2, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1494", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 0, 0],\n [2, 0, 2, -2],\n [0, 2, 1, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -4, -2, -3],\n [-4, 1, -3, 0],\n [-4, -4, 0, -1],\n [-1, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13420", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[3, 4, 1, -2],\n [4, 1, -4, -3],\n [0, -3, 4, 4],\n [1, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "772", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, 0, -2],\n [4, -3, 3, -2],\n [0, 3, 1, 1],\n [-2, -2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "586", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 2, -2],\n [0, 3, 2, 0],\n [2, 2, -2, -2],\n [-2, 0, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, 2, 0],\n [1, 1, -3, 1],\n [0, 2, -4, -1],\n [4, -3, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -1, -2, 0],\n [-1, -4, 1, 3],\n [-2, 1, -2, 0],\n [0, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1807", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, -3],\n [-2, -2, 1, -4],\n [-2, -3, 0, -3],\n [-3, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6267", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -1, -3],\n [1, 2, -4, 2],\n [-1, -4, 0, -2],\n [-3, 2, -2, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, -2, -1],\n [4, -4, 2, -3],\n [-2, 2, 0, -3],\n [-1, -3, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1089", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 0],\n [-2, -3, 0, 0],\n [0, 0, 2, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "542", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 3],\n [1, 2, 3, 3],\n [-3, -3, 0, 1],\n [1, -1, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 0, 3],\n [2, -2, -4, 0],\n [1, -3, -2, 1],\n [4, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1334", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-1, 3, -3, 2],\n [-2, 2, 4, -2],\n [0, 4, -2, 0],\n [4, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -4, 3, 2],\n [-4, -3, 3, -1],\n [-1, -1, 2, 4],\n [-4, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1276", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, -4, -4],\n [1, -4, 1, 1],\n [3, -3, 0, -1],\n [-3, -3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6380", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -3, 0],\n [-2, -3, 0, -2],\n [-3, 0, -1, -2],\n [0, -2, -2, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[0, 4, -2, 3],\n [3, -3, -1, 3],\n [-4, 0, 1, 3],\n [3, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 3, 1, -4],\n [2, 0, -2, -3],\n [3, 4, 0, 1],\n [-3, -1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10242", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, 4, 3],\n [0, -4, -2, 0],\n [4, -2, 1, 0],\n [3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7781", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, -2, -4],\n [1, -3, 3, -4],\n [-4, 3, 2, 4],\n [-4, 1, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1192", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, -2, -1, -2],\n [-2, -1, 1, 2],\n [-1, 1, 3, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -3, 0],\n [-4, -4, -1, 1],\n [-3, -1, -1, -2],\n [0, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1805", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 0, 2],\n [3, -3, 1, 0],\n [0, 1, 2, 0],\n [2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "485", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, -1, 0],\n [1, 2, 4, -4],\n [-4, 4, -1, 0],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1094", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[0, 0, -1, 1],\n [0, 3, -2, -2],\n [-1, -2, -1, 4],\n [1, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -2],\n [2, -4, -3, 3],\n [0, -3, -3, 2],\n [-2, 3, 2, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, -3, 0, 0],\n [-3, 4, -2, 1],\n [0, -2, 4, -2],\n [0, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "696", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 4],\n [0, 2, 2, -3],\n [2, 2, -1, -2],\n [4, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3250", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-2, -2, 0, 3],\n [-4, -4, -4, 1],\n [-4, 2, 2, 0],\n [-1, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-331", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 0, 0],\n [-1, -1, 0, -1],\n [0, 0, -4, 2],\n [0, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, -2, 1],\n [-2, 1, 2, 2],\n [-2, 2, 0, -2],\n [1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1314", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-2, -3, 2, -3],\n [0, 2, -3, 0],\n [0, -3, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "997", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-3, 3, -1, 0],\n [3, 3, -2, 0],\n [-1, -2, -2, -2],\n [0, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, 2, -2, -2],\n [2, 0, -2, -1],\n [-2, -2, 2, 0],\n [-2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, 0, -1, 2],\n [0, -3, 0, -2],\n [-1, 0, -1, -1],\n [2, -2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, -2, 1],\n [0, -2, 3, 0],\n [-2, 3, 2, 2],\n [1, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -4, -1, 3],\n [-4, 2, 3, -3],\n [-4, -2, 4, 1],\n [2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 0, -1],\n [0, 4, -2, 2],\n [0, -2, 4, -2],\n [-1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "964", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, -4, -4],\n [2, -4, 0, -4],\n [-4, 1, 3, 2],\n [0, 3, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4615", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 4, -1],\n [0, 3, 0, -4],\n [4, 0, -1, 0],\n [-1, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1288", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 2, 2, 4],\n [2, 0, -2, 2],\n [2, -2, -4, 1],\n [4, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, 1, -3],\n [-3, -1, 2, 1],\n [-3, 0, 4, -1],\n [1, 4, 4, -4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 2, 1],\n [-2, -4, -1, -2],\n [1, 3, -2, -3],\n [-2, 0, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3562", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 2, 1, 2],\n [4, -2, 2, 3],\n [1, 4, 0, 4],\n [-2, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 4, -1, -1],\n [0, -1, 0, 0],\n [0, 0, -3, -2],\n [4, -4, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "757", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, -2, 2],\n [-2, 0, -2, 0],\n [-2, -2, -2, 0],\n [2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "957", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, 4, -3],\n [3, 4, -1, -1],\n [0, -2, 4, -3],\n [-2, 4, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1440", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, -1, 4],\n [2, -4, -2, 0],\n [-1, -2, -3, 0],\n [4, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4913", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, -2, 4],\n [1, 0, 2, -2],\n [-2, 2, -4, 0],\n [4, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 0, 1],\n [-4, 4, -4, 2],\n [-1, -4, 0, 2],\n [-4, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5680", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, 4],\n [0, 3, 4, 2],\n [0, 4, 4, 0],\n [4, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10454", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, 2, 0, -1],\n [-2, -4, 3, 1],\n [0, -2, 3, 3],\n [4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 2, 2],\n [-2, 1, 0, 0],\n [2, 0, 1, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -3, -3],\n [-2, 0, 4, -1],\n [1, 4, -4, 2],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-578", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0, 2],\n [-2, 1, 4, 3],\n [0, 4, 3, -4],\n [2, 3, -4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1451", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, 0, -1],\n [3, -2, -1, 2],\n [0, -1, 4, 2],\n [-1, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "633", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 1, 0],\n [-4, -4, -2, -2],\n [1, -2, 1, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[4, 1, -1, 4],\n [1, -1, 3, 4],\n [-1, 3, 1, 1],\n [4, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 0, 4],\n [3, 4, -1, 1],\n [-3, -1, 4, -1],\n [4, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, -4, 1],\n [-1, 2, -4, 3],\n [-1, 4, 0, -2],\n [1, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, 4, 0],\n [4, -2, 4, -3],\n [0, 4, 1, 0],\n [1, -2, -4, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[0, 1, -4, -4],\n [4, 1, -2, -1],\n [2, 4, -1, -4],\n [3, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, -1, 0],\n [-4, -4, -3, 1],\n [-4, -2, 0, 4],\n [-2, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14982", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 4, 3],\n [0, -4, 1, -2],\n [-4, 1, -4, 0],\n [-3, 3, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 4, 0, 0],\n [-4, 2, -2, -4],\n [1, 1, -4, 4],\n [-1, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2208", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-3, -1, 3, 2],\n [0, 1, 4, 1],\n [-2, 2, -2, 0],\n [4, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, -4],\n [0, 1, -2, 1],\n [0, -2, 1, 0],\n [-4, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4158", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, 0, 2, 0],\n [0, 2, 0, -1],\n [2, 0, -1, -4],\n [0, -1, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, 2, 2],\n [-2, -3, -1, -2],\n [2, -1, -4, 3],\n [2, -2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-4, 2, -2, 0],\n [2, -1, 1, 0],\n [-2, 1, 4, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, -1, 0, -2],\n [0, 0, 1, 2],\n [2, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "979", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-3, 1, 4, 4],\n [-2, -4, -4, -1],\n [0, -4, 1, -3],\n [-3, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0, 2],\n [0, 1, 4, -1],\n [0, 4, -4, 0],\n [2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "575", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 0, -3, 2],\n [-4, -2, 1, 4],\n [2, 1, 3, 2],\n [-4, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, -3, 0],\n [-1, 3, 0, -2],\n [4, 0, -3, -2],\n [3, 2, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "722", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[3, -2, -3, -3],\n [-3, 2, -2, 2],\n [-4, 0, 1, -4],\n [-4, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 3, 4, -1],\n [4, 2, 3, -3],\n [-3, 3, -2, 1],\n [4, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, -2, 2],\n [2, 2, -3, 2],\n [-2, -3, 3, -2],\n [2, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2514", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, -2, -2],\n [4, -2, 0, 2],\n [-2, 0, -1, 0],\n [-2, 2, 0, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -1, -3, 2],\n [-1, 0, 4, -2],\n [-3, 4, -4, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 3, -4],\n [0, 2, 0, -1],\n [3, 0, -1, -2],\n [-4, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-3, 3, 2, 0],\n [3, 1, -1, 1],\n [3, 2, -3, -3],\n [-3, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 3, -4, 2],\n [-3, 1, -4, 1],\n [1, 4, -3, 1],\n [-2, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9890", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[3, -1, 3, -4],\n [1, -1, -3, 1],\n [-1, 2, -3, -3],\n [1, 3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 1, 2],\n [0, -3, -2, -2],\n [1, -2, 0, 0],\n [2, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, -2, 0],\n [0, 4, 2, 2],\n [-2, 2, 0, -2],\n [0, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4169", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-4, 2, -1, -3],\n [3, -3, 3, -3],\n [-3, -3, 1, -1],\n [-1, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -4, 3, -2],\n [0, 0, 3, 4],\n [4, -4, 3, 2],\n [1, 2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3992", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -2, 0],\n [0, -2, 4, 1],\n [-2, 4, 2, 4],\n [0, 1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18415", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, 0],\n [0, -4, 2, 4],\n [0, 2, 0, 0],\n [0, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -2, 4],\n [0, 3, -1, 2],\n [-2, -1, 2, 0],\n [4, 2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 3, -1],\n [0, -1, 2, 0],\n [2, 0, -1, -3],\n [0, 3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "519", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -4, 0],\n [-2, 3, 4, 1],\n [0, 2, -4, 2],\n [4, -4, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1087", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 0, -2],\n [1, -1, 0, -2],\n [0, 0, 2, -1],\n [-2, -2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "532", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 0, 0],\n [-3, -4, 4, -4],\n [1, 1, -4, -3],\n [0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6528", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -3, -1],\n [-2, 2, -4, -2],\n [0, -4, -1, -1],\n [3, 1, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "396", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-1, -2, 3, 3],\n [-2, 1, -2, 2],\n [-4, 3, -1, 2],\n [1, 3, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, 0, -2],\n [0, -2, 2, 1],\n [0, 2, 0, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 2, 2],\n [-2, -3, 2, -2],\n [2, 2, 0, 0],\n [2, -2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "739", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -1, -2, -2],\n [-1, -1, 2, 1],\n [-2, 2, 1, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1180", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, 2, 4],\n [-1, -3, -1, -1],\n [3, 3, 0, 2],\n [-4, -3, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1030", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -1],\n [-2, 1, 2, -2],\n [0, 2, -1, 3],\n [-1, -2, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 1, -4, -1],\n [2, -2, -3, 3],\n [-3, 1, -2, 0],\n [-4, 4, 3, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-432", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 2, 0],\n [-1, 0, -1, 0],\n [2, -3, -2, 3],\n [-4, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, -4, -2],\n [-2, 1, -1, 2],\n [-4, -1, -1, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "843", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 1, -3],\n [-1, -2, 0, 2],\n [4, 3, 1, -2],\n [-3, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 4, 4],\n [0, 3, 0, -1],\n [-2, -1, -2, -4],\n [-4, 4, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, -3, -4],\n [3, 1, 2, -3],\n [2, 2, -4, 0],\n [1, 2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, -2, 1],\n [-2, 2, -2, -1],\n [-2, -2, 1, 0],\n [1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -4, 2],\n [1, -3, 0, 2],\n [-4, 0, 2, -1],\n [2, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8633", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[0, 0, -4, -2],\n [1, 0, -3, 1],\n [0, -3, 3, 2],\n [1, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[0, 2, 0, -3],\n [-1, 3, -1, 4],\n [4, 0, 0, 2],\n [2, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -1, 2, -2],\n [3, -2, 4, 2],\n [-4, 1, -4, -2],\n [2, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 3, 1],\n [0, 1, -3, 0],\n [3, -3, -4, 2],\n [1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2496", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, -1, 4],\n [3, 0, -2, -1],\n [-4, 2, -4, -4],\n [-4, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2070", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -1, -2, 3],\n [-1, -3, 2, -2],\n [-2, 2, -3, -4],\n [3, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1881", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -4, -3],\n [0, -4, 3, 1],\n [4, -3, -1, 0],\n [-1, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1416", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, -1, 0],\n [3, 4, 0, 1],\n [-1, 0, -1, 2],\n [0, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, -1, -4],\n [2, 3, 4, -3],\n [-4, 3, 0, 2],\n [4, 3, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8280", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, 2, 4],\n [0, -4, 2, -3],\n [4, 1, 3, 3],\n [1, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1308", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 0, -1],\n [0, 0, -1, -2],\n [2, -2, -1, -1],\n [-4, 2, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1196", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 4, -2],\n [0, 1, -1, -2],\n [4, -1, 0, -1],\n [-2, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1981", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 1, 0],\n [1, -1, 1, 3],\n [1, 1, 0, 0],\n [0, 3, 0, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-2, -4, 2, 0],\n [-4, 4, 0, 0],\n [2, 0, -4, 1],\n [0, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0, 0],\n [-2, 4, -3, 1],\n [0, -3, 1, -2],\n [0, 1, -2, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 4, 1, -1],\n [-1, -2, -4, -4],\n [1, 2, 4, 3],\n [1, 2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 1, -2],\n [0, 0, 0, 1],\n [1, 0, 3, 2],\n [-2, 1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[1, 2, 3, 2],\n [1, 3, 2, 2],\n [0, -3, 1, -2],\n [-2, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -4],\n [-1, -1, -4, 4],\n [-4, 0, 2, 3],\n [-4, -2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3129", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -4, 4, -2],\n [3, -1, -4, 0],\n [3, 1, -1, 3],\n [3, 4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3543", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, -1, 3, 2],\n [-3, 2, 0, 2],\n [2, 4, -4, -4],\n [0, 3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, -4, 0],\n [-2, -3, 0, -2],\n [-4, 0, -4, -1],\n [0, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6998", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 0, 0],\n [0, -1, -2, -1],\n [0, -2, 3, 2],\n [0, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1746", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -1, 4],\n [-2, 3, 1, -2],\n [3, -4, 3, 2],\n [1, 4, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "674", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -3, 0],\n [-2, 0, -2, -2],\n [-3, -2, 2, 0],\n [0, -2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3665", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 2, 3],\n [0, -4, -1, -2],\n [2, -1, -1, -1],\n [3, -2, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0, 2],\n [-2, -2, 2, 0],\n [0, 2, -1, 1],\n [2, 0, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 1, 0],\n [0, -4, 0, -2],\n [1, 0, 3, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "295", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 2, -4],\n [-1, 1, 1, 1],\n [2, 1, 4, 0],\n [-4, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1494", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -1, 1],\n [0, -4, 0, 2],\n [-1, 0, -4, -1],\n [1, 2, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1384", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, 1, -3],\n [-3, -2, -1, -1],\n [3, -1, -4, -1],\n [0, 3, 1, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 1, 1, 0],\n [-4, 0, -4, -2],\n [-3, -1, 3, -3],\n [-4, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, -4, 0],\n [-2, 2, 2, -2],\n [-4, 2, -1, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "394", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, -1, -3],\n [3, -2, -3, 3],\n [0, 3, -3, -3],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6178", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-1, 3, -2, -2],\n [3, 4, -2, 0],\n [-2, -2, 3, -2],\n [-2, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[3, 4, -2, 0],\n [4, 1, -2, 0],\n [-2, -2, 4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1181", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-1, 2, 1, 0],\n [-4, -3, 3, -4],\n [-4, -1, -4, -3],\n [0, -3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 2, -1],\n [-2, 3, -1, 2],\n [2, -1, 0, 0],\n [-1, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2310", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 4, -4, -1],\n [2, 4, 3, -1],\n [-3, 3, 1, -2],\n [-4, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2195", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, 3, 0],\n [1, 3, 2, 3],\n [4, -1, -1, -3],\n [3, 2, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4007", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-2, -4, 2, 1],\n [0, 2, -1, -3],\n [4, 1, 1, 4],\n [-4, -4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -2, 0],\n [2, -2, 1, -1],\n [-2, 1, 1, 2],\n [0, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, 3, 2],\n [1, -4, -4, -1],\n [-2, -3, 2, -2],\n [2, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1064", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, 0, 2, 1],\n [0, -3, 0, 0],\n [2, 0, -3, -2],\n [1, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, -4, 0],\n [0, -1, 2, 0],\n [-4, 2, -3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-4, -4, -4, 3],\n [3, 4, 3, 1],\n [-1, 3, 1, -2],\n [2, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, 4],\n [0, -4, -1, 4],\n [-2, -1, -1, 0],\n [4, 4, 0, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2462", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 1, -2],\n [-2, -3, -1, 0],\n [1, -1, 2, 0],\n [-2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-2, -2, -2, -1],\n [-2, 3, 0, 0],\n [-2, 0, 1, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 2, -2],\n [0, 1, -1, 3],\n [0, 4, -4, -3],\n [1, 3, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 4, -4],\n [0, -1, -2, 3],\n [3, -1, -4, -4],\n [2, 1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5236", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, 0, -4],\n [-1, -2, 0, -2],\n [-4, 2, 2, -1],\n [-4, 2, 0, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, -2, 4],\n [4, 3, -2, 4],\n [-3, -1, -2, 4],\n [-4, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17443", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-4, 1, -1, 3],\n [2, -2, -2, 4],\n [1, 4, -4, 0],\n [4, -3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[2, -2, 2, 2],\n [-4, 3, -2, -3],\n [-3, 3, -2, 1],\n [0, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "326", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 0, -2],\n [2, -2, -1, 1],\n [0, -1, 1, 1],\n [-2, 1, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1428", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 2, -2],\n [-1, -3, 3, -4],\n [2, 3, 4, 1],\n [-2, -4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-2, -2, 3, 2],\n [-2, -4, -2, -2],\n [3, -2, 1, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, -4, -3, 0],\n [-4, -3, 4, 0],\n [-3, 4, 2, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 1, -3, -2],\n [-4, 3, 4, 1],\n [3, 1, 1, 1],\n [4, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "840", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 2, 2],\n [0, -4, 0, -4],\n [2, 0, -3, 3],\n [2, -4, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, 1, 0, 3],\n [1, -1, 4, -2],\n [0, 4, 4, -2],\n [3, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, 2],\n [2, -1, -1, 1],\n [0, -1, 3, 3],\n [2, 1, 3, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, -2, -1],\n [1, -3, -1, 2],\n [-1, 3, 4, 4],\n [2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2333", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 4, -2],\n [3, -4, -2, -1],\n [-1, -1, 4, -3],\n [-1, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-3, 3, 2, 1],\n [2, -3, -1, 4],\n [-4, -1, 1, -4],\n [-4, -1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 3, 3, 3],\n [-1, 4, -2, -4],\n [-3, 2, 1, 2],\n [3, 3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-648", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-3, 2, 0, 0],\n [2, -1, -1, 0],\n [0, -1, -2, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "354", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 1, 4],\n [1, 2, -2, -4],\n [4, 4, 4, -1],\n [1, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, 0, -3],\n [-1, 1, -3, 2],\n [-1, 4, -4, -3],\n [4, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 4, -4, 0],\n [4, 2, -2, 2],\n [-4, -2, 3, 1],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, 0, 2],\n [-2, -1, -2, 4],\n [0, -2, 4, 1],\n [2, 4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6287", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, -3, -2],\n [-4, 2, 0, -2],\n [-4, -3, 2, 1],\n [4, 3, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "684", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 4, 2, 1],\n [0, 0, 1, 4],\n [-1, 2, 3, -3],\n [4, 3, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "957", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, 2, 1],\n [0, -4, -2, 0],\n [2, -2, -4, 1],\n [1, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4574", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-3, 1, 1, 0],\n [1, 1, -1, 0],\n [1, 2, -3, -1],\n [0, 3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, -1, -3, 2],\n [-1, 3, 1, 0],\n [-3, 1, 1, 0],\n [2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, 0, 0],\n [1, -3, -1, 0],\n [0, -1, 3, 2],\n [0, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, -2, -3],\n [-3, -3, 4, 4],\n [2, -4, 0, 3],\n [-1, -4, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-613", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 0],\n [0, 2, 0, 0],\n [2, 0, 0, 4],\n [0, 0, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2672", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-4, -1, 0, -3],\n [-4, -3, -2, 2],\n [-2, 3, 1, 4],\n [-2, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -3, 2, 0],\n [3, 4, 3, -3],\n [-3, 1, -4, 0],\n [1, 3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, 0, -1, 0],\n [0, 1, 0, 0],\n [-1, 0, 2, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 4, -2, -4],\n [-4, 0, 1, 1],\n [-3, -3, -3, 1],\n [0, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-698", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 0, 4],\n [-3, 1, -3, 3],\n [1, 3, 0, 0],\n [-2, 3, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-642", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -1, 2],\n [0, -1, -2, -3],\n [-1, -2, -2, -1],\n [2, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-476", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[2, 1, -1, -2],\n [1, -1, 1, -2],\n [-1, 1, 2, 0],\n [-2, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 2, 0],\n [4, 4, -1, -4],\n [0, -2, 3, 2],\n [-4, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, 0],\n [0, -2, 3, -2],\n [0, 3, -4, 0],\n [0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3838", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[2, 2, 0, -1],\n [1, -1, 1, -3],\n [-4, 4, 2, -2],\n [0, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0, -2],\n [-2, 0, 3, -1],\n [0, 3, 4, 0],\n [-2, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "952", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-3, -4, 2, -4],\n [0, 1, -4, -2],\n [4, 4, -3, -3],\n [-2, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, 0],\n [0, 4, 2, -1],\n [2, 2, 1, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 2],\n [-2, -3, 1, -4],\n [2, 2, -1, 2],\n [0, 2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-357", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -2, 0],\n [0, 4, 4, 1],\n [-2, 4, 1, -2],\n [0, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1198", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 2, 0],\n [-4, -1, 4, 4],\n [2, 3, 2, -4],\n [-1, -1, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, -4, -3],\n [3, 2, 0, 1],\n [-4, 0, 2, 2],\n [-3, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11019", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 1, 0],\n [0, 3, -1, 2],\n [1, -1, 0, 4],\n [0, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 0],\n [-2, -4, -2, 0],\n [0, -2, -4, 4],\n [0, 0, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9718", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, -3, 0],\n [2, -4, 0, 0],\n [-3, 0, 1, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, 1, -3],\n [1, 1, -4, -2],\n [-3, -1, 0, -3],\n [-3, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3453", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 1, 4],\n [-2, -2, -4, 1],\n [-3, 4, 4, 1],\n [2, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1003", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 1, 4],\n [-2, -4, -4, 0],\n [1, -4, -2, 0],\n [4, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1426", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 1, 2, -4],\n [4, -4, 0, -2],\n [4, -2, 4, -4],\n [-2, -2, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, 0],\n [0, 3, -2, 0],\n [-2, -2, -4, 0],\n [0, 0, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3981", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -4, -4, -2],\n [-3, -4, -2, 4],\n [3, -1, 0, 2],\n [4, 1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 1, 3, 0],\n [-3, 4, 1, 0],\n [1, -2, -3, 2],\n [-4, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 0, -4],\n [-1, 2, -2, -2],\n [0, -2, 3, -1],\n [-4, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "714", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, -1, -3, -3],\n [-4, -1, -1, 2],\n [-1, -1, 4, 3],\n [0, -1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 1, 1, 3],\n [4, 0, -4, 4],\n [0, -4, 1, -2],\n [-2, -3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2750", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, -2, -2],\n [4, 4, -1, 0],\n [-2, -1, -3, -1],\n [-2, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11342", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, -4, 2],\n [2, 4, -1, -1],\n [0, -3, 4, 1],\n [4, -2, 4, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "801", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -4, -2],\n [2, 3, -1, 2],\n [-4, -1, -2, -2],\n [-2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8934", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2, 0],\n [-2, -1, 0, -2],\n [2, 0, -1, -2],\n [0, -2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "414", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 1, 4, 2],\n [0, 2, -2, 4],\n [-4, 0, -3, -1],\n [4, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1507", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -4, -4, -1],\n [1, -1, 0, -1],\n [4, 3, 3, -1],\n [-1, -3, 3, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, -1, -2, 4],\n [-3, -1, -2, -3],\n [3, -3, 1, 0],\n [-1, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, -2, 2],\n [0, -3, -1, -1],\n [-2, -1, -1, -2],\n [2, -1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4786", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, -3, 0],\n [0, 3, 4, -1],\n [-3, 4, -3, -4],\n [0, -1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2372", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, 3, 2, 0],\n [3, -4, 0, 1],\n [2, 0, 2, 3],\n [0, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "470", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, -2, 2],\n [0, -3, -3, 3],\n [-2, -3, 4, 2],\n [2, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 2, -4],\n [-2, 4, -2, -2],\n [2, -2, -2, 0],\n [-4, -2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, -1, -2],\n [0, -4, -2, -2],\n [-1, -2, 0, 0],\n [-2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4418", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, -1, 2],\n [4, 3, 4, 2],\n [-1, 4, -1, 0],\n [2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1499", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -3, -3],\n [3, -2, -2, -3],\n [-2, 2, -4, 4],\n [-4, 2, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1316", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, 4, 2],\n [0, -1, 2, -1],\n [4, 2, 0, 0],\n [2, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, -3, 1, 2],\n [0, 1, -2, -1],\n [0, 2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, -3, -2, -4],\n [-4, 2, 2, -3],\n [-2, 1, -3, 0],\n [1, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 4, -4],\n [4, -2, -2, 1],\n [1, -2, -2, -2],\n [-1, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1288", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, 0, 0],\n [-1, 2, 2, -2],\n [0, 2, 4, -2],\n [0, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "850", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 1, 3],\n [0, -2, 0, 2],\n [-1, 0, 4, -1],\n [4, 2, -1, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -2, -2],\n [1, 3, 0, -2],\n [-2, 0, 0, 0],\n [-2, -2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "504", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 3, 1],\n [-3, 4, -2, -4],\n [0, -2, 2, 1],\n [4, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 1, 4, 0],\n [-3, 3, 3, -2],\n [-3, 3, 3, -2],\n [-2, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, -1, -4],\n [2, 2, 1, -2],\n [-1, 1, 2, 3],\n [-4, -2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "900", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, -2, -3],\n [-2, 2, -4, -4],\n [-1, 0, -4, 4],\n [-1, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1236", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 0, 0, 1],\n [0, 0, 4, 0],\n [0, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 4, -2],\n [1, 0, -2, -1],\n [4, -4, -2, -4],\n [-3, 4, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "546", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -3, 3],\n [-1, -4, 0, 2],\n [4, 3, -2, 3],\n [4, -3, 4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1397", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 2, 2],\n [-1, 3, -3, 0],\n [2, -3, -4, -2],\n [2, 0, -2, 4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-209", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-4, -2, -3, 4],\n [2, -4, -1, 2],\n [0, 0, -3, 4],\n [-4, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 2],\n [0, -2, 2, 2],\n [0, 2, 2, 0],\n [2, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, -2, -4],\n [2, 0, 4, 4],\n [-1, -3, 4, -3],\n [-1, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7892", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 1, 0],\n [2, 2, 1, 0],\n [1, 1, 2, -4],\n [0, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 2, -4],\n [2, 3, -4, 2],\n [2, -4, -4, -3],\n [-4, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1048", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, 3, 1, 2],\n [-2, -1, 3, -1],\n [-2, -4, -1, 2],\n [-2, 3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -3, -2],\n [4, -2, 3, 0],\n [3, 4, -2, 3],\n [3, 1, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-550", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, -4, 3, -4],\n [4, -4, 0, 1],\n [2, -3, 0, 4],\n [4, 1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -1],\n [0, -2, 2, -2],\n [-2, 2, 0, 0],\n [-1, -2, 0, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, -2, 4, 0],\n [-1, -2, -4, 0],\n [-3, -1, 3, -3],\n [-3, -1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 0, -4],\n [-2, 4, 1, 0],\n [-1, -3, 3, -4],\n [0, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5960", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-2, 2, 0, 0],\n [2, 3, 0, 2],\n [0, 0, -3, 2],\n [0, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[2, 3, -4, -2],\n [2, 3, -3, -3],\n [1, 3, 1, -3],\n [-2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 0, -3],\n [4, -2, 4, 2],\n [-2, -3, 3, -1],\n [-2, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4602", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -3, 0, 0],\n [-1, -2, -1, 1],\n [4, 2, -1, -4],\n [1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -4, 1, 3],\n [2, 1, 1, 2],\n [1, -1, 0, -1],\n [-2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, 3, 0],\n [2, 4, 1, 0],\n [3, 1, -2, 2],\n [0, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1825", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 4, -1],\n [1, 2, 2, 1],\n [4, 3, -3, -4],\n [4, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "791", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -4, -2, -1],\n [0, -2, 1, 1],\n [4, 4, -1, -2],\n [-2, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1047", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 2],\n [0, 2, -1, 0],\n [0, -1, 2, -1],\n [2, 0, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -2, 3],\n [-1, 2, 1, 3],\n [1, 1, -4, -3],\n [-4, 0, -3, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, 0, -4, -3],\n [0, -2, -2, -1],\n [-4, -2, 3, -2],\n [-3, -1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -1, -2],\n [0, -2, 0, -2],\n [-1, 0, 2, 0],\n [-2, -2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3006", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 3, 0, -2],\n [3, 1, -2, 0],\n [0, -2, -4, -3],\n [-2, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4417", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -4, 0],\n [1, 4, -1, -3],\n [0, 3, 3, 4],\n [2, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-275", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -1, 1],\n [1, 1, 3, 3],\n [4, 0, 2, -3],\n [-4, 2, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1152", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 0, 0],\n [-1, 3, 0, 2],\n [0, 0, -2, 2],\n [0, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3705", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1, 2],\n [4, 1, 1, 2],\n [0, -1, -1, 3],\n [1, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "692", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, 0, -2],\n [1, -4, -4, 2],\n [0, -4, 0, 0],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-235", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, 1, 2],\n [0, -3, 2, 0],\n [1, 2, 2, -2],\n [2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[1, 4, -1, -3],\n [4, 3, 0, 3],\n [-1, 0, 0, -2],\n [-3, 3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "533", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, -1],\n [2, -1, 1, -1],\n [-2, -2, 4, 4],\n [4, 4, 1, -3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-242", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-2, 0, 2, 2],\n [0, -3, 1, 0],\n [2, 1, -3, -1],\n [2, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-4, 2, -3, -4],\n [3, 0, 2, 3],\n [3, 1, 4, 3],\n [-2, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 2, -2],\n [2, -4, -1, 0],\n [2, -1, -2, 0],\n [-2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -2, 0, 3],\n [-2, 3, 0, 3],\n [0, 0, -2, 3],\n [3, 3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7676", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -2, 2],\n [2, 0, 1, 1],\n [-2, 1, 2, 0],\n [2, 1, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, 1, -2],\n [1, -2, 0, -1],\n [-1, -2, -1, 0],\n [3, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1009", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, -2, 3],\n [2, -4, -2, -2],\n [-2, -2, -2, -2],\n [3, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-304", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, 2, 2],\n [-1, 2, 3, -2],\n [-3, -3, 0, 2],\n [4, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1335", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, 2, -1],\n [2, -3, -1, 2],\n [2, -4, -4, 2],\n [-4, -2, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, -1, 0],\n [2, -1, 0, 3],\n [-1, 0, -2, 2],\n [0, 3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "642", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, -4, -2],\n [0, -2, -1, -2],\n [-4, -1, 1, 0],\n [-2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "832", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, 1, -4],\n [-3, 4, 1, -4],\n [4, 4, -2, 4],\n [1, 4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1067", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -3, -1],\n [1, 1, 2, 1],\n [-3, 0, 0, 4],\n [3, 1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 4, 0, 1],\n [4, -4, 2, 0],\n [0, 2, -3, 2],\n [1, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 0, -2],\n [-2, 0, -4, -1],\n [0, -4, -1, 0],\n [-2, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, 2, 0],\n [-4, 0, 0, 0],\n [0, 4, -4, 4],\n [3, -4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2056", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, 0, 0],\n [0, -3, 2, 0],\n [0, 2, -2, 2],\n [0, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1738", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 2, 3],\n [1, 2, 4, -3],\n [4, -4, 4, 4],\n [1, 2, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "436", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[1, -3, -1, -4],\n [1, -3, -1, -1],\n [-3, -2, 2, 1],\n [-3, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 2, -3],\n [-2, 3, 0, 0],\n [1, -3, -4, -1],\n [-3, 2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "941", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-3, 4, -3, -1],\n [-4, -1, 0, -4],\n [1, 3, 3, 1],\n [1, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -3, 3],\n [4, 3, -2, 2],\n [0, 2, 0, 3],\n [4, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[1, 0, 2, -3],\n [0, 3, -4, 1],\n [2, -4, 0, 2],\n [-3, 1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, -3, -2],\n [2, 3, -1, 4],\n [1, -4, -3, 0],\n [-4, 3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6174", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 1, -4],\n [-4, 2, 1, 2],\n [4, 0, 0, 2],\n [-3, -1, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-429", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 2],\n [0, -3, -1, 3],\n [0, -1, -4, -2],\n [2, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, -2, -3, 2],\n [-2, -3, -3, 4],\n [-3, -3, -3, 4],\n [2, 4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5243", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 3, 2, 1],\n [3, 0, 0, 0],\n [2, 0, 3, 0],\n [1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1463", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 2],\n [-4, 4, -3, 1],\n [4, -4, -4, 2],\n [-3, 2, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "451", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 2, 2],\n [-2, 2, -2, -2],\n [2, -2, 4, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1416", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, 3, 4],\n [-4, -3, -3, 0],\n [1, 4, 3, 4],\n [-4, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10881", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -4, 1, 1],\n [-4, 3, -3, -2],\n [4, 0, 0, -2],\n [4, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "830", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, 4],\n [-2, 4, 1, -1],\n [-1, 4, 3, 0],\n [-3, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-224", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -4, 1, -4],\n [2, -1, 4, -3],\n [-4, 0, -1, 1],\n [0, 2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2648", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, 2, -4],\n [4, 1, 0, -4],\n [2, 0, -3, 0],\n [-4, -4, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "254", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 1, -2, 2],\n [1, 0, 0, 0],\n [-2, 0, 0, -2],\n [2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-2, -2, 1, -2],\n [-2, 4, -4, -2],\n [1, -4, 4, 1],\n [-2, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-2, 1, 1, -3],\n [1, 1, 3, 4],\n [0, -1, 1, -3],\n [3, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-4, 3, 3, 0],\n [3, 2, -2, -1],\n [3, -2, -2, -2],\n [0, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, 0, 1],\n [-3, 2, -3, 4],\n [3, 3, -2, 3],\n [-1, -2, 3, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -1, 0, -2],\n [-1, 1, 0, 0],\n [0, 0, 2, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0, 2],\n [-2, 2, -2, 2],\n [0, -2, 3, 0],\n [2, 2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, -2, -3, -1],\n [-3, -1, -1, 3],\n [1, 2, -1, 1],\n [1, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 4, -2, -4],\n [2, 4, 1, -1],\n [-2, 0, 0, -2],\n [4, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 0, 0],\n [0, 2, 0, 0],\n [0, 0, -3, 0],\n [0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, 0, 4],\n [-4, -4, 0, 0],\n [0, 0, -1, 4],\n [4, 0, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2033", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, 2],\n [0, -2, 2, 2],\n [0, 2, -4, 0],\n [2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, 4, -1],\n [2, 4, -4, 4],\n [3, -4, -3, -4],\n [-1, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3139", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, -4, -3, 2],\n [0, 4, 3, -2],\n [-3, -4, 2, 0],\n [4, -4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-3, 4, -4, -2],\n [4, 0, -4, 2],\n [-1, -1, -3, -1],\n [-2, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, 2, 4, -3],\n [-2, 4, -4, -3],\n [-4, -4, 4, 1],\n [-3, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 3, -1],\n [-2, 3, -4, 2],\n [3, 0, -1, 1],\n [-4, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "988", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 2, 0],\n [-1, 3, -1, 4],\n [2, -1, 3, -1],\n [0, 4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "890", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 1, -1],\n [0, 1, 0, 2],\n [4, -1, -2, 1],\n [3, 4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, 0, 4, 0],\n [0, 4, -1, -4],\n [2, 0, -4, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -4, 4],\n [0, -3, 1, 1],\n [2, 3, -1, 4],\n [2, 2, 3, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 1, 0],\n [1, -4, -4, -1],\n [1, -4, -4, 0],\n [0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7330", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0, -2],\n [-2, 1, 2, 2],\n [0, 2, -4, 2],\n [-2, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, 4, -3],\n [-3, -1, -3, -1],\n [-3, 1, -2, 0],\n [2, -1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3748", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[4, 2, -4, 4],\n [1, 3, 2, -2],\n [4, 2, -4, 1],\n [4, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 0, -1],\n [2, 3, 0, 2],\n [0, 0, 2, -3],\n [-1, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2622", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -2, 2],\n [0, 0, -4, 0],\n [-2, -4, 4, 0],\n [2, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5958", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[3, 2, -4, 3],\n [4, 4, -4, 2],\n [-1, -1, 2, 3],\n [4, 1, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "239", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, -2, -4],\n [1, 2, -4, 0],\n [0, -4, 2, -2],\n [1, 4, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "785", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 3, -2],\n [1, 3, 0, 0],\n [3, 0, 0, 0],\n [-2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1719", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[2, -1, 0, -4],\n [-1, 2, 4, 3],\n [0, 4, 4, 0],\n [-4, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1600", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, 2, -2],\n [-1, -1, 4, -4],\n [0, -4, 2, 0],\n [-2, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2528", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, 0, -2],\n [2, 3, 4, 3],\n [-3, -2, 3, -1],\n [-1, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4311", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 2],\n [1, 2, 2, -1],\n [-4, 2, 3, -4],\n [-4, -1, 0, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0, 4],\n [0, -2, 0, 0],\n [0, 0, -3, 0],\n [4, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, 0, -1],\n [4, 0, 2, 1],\n [-1, -2, 3, 1],\n [4, 4, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, 0, 2],\n [0, -1, 0, -4],\n [0, 0, -4, -2],\n [2, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2423", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, -4],\n [0, 0, -1, 1],\n [0, -1, 4, -2],\n [-4, 1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 3, -4],\n [-3, 3, -4, -4],\n [-3, 1, 2, -3],\n [3, -4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11824", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 3, 0, 0],\n [0, -3, 2, -2],\n [-1, -1, 3, -3],\n [-1, 1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, -2, 2],\n [0, -1, 2, 2],\n [-2, 2, 3, 0],\n [2, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1146", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, 4, -2],\n [-1, -4, 0, 1],\n [4, 0, -1, -3],\n [-2, 1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1154", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 3, 1],\n [0, 3, -2, -2],\n [3, -2, 3, -2],\n [1, -2, -2, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 4, 4],\n [-2, 2, 1, 1],\n [0, -1, 0, -2],\n [3, 2, -3, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[2, 2, 0, -4],\n [2, 0, 0, -2],\n [0, 0, -1, -2],\n [-4, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-400", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 4, 3],\n [-4, -2, 3, 2],\n [2, -3, -3, -3],\n [1, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4544", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 3, -2],\n [-2, -2, -2, 2],\n [3, -2, -3, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, 2, -3],\n [2, -3, 0, -2],\n [2, 0, -1, 0],\n [-3, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "359", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 1, -4],\n [1, 2, 2, 2],\n [2, -1, 0, -4],\n [2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "475", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 0, 2, 0],\n [0, 4, 2, -4],\n [2, 1, -1, 3],\n [1, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[2, 0, -3, -2],\n [0, -3, -1, 2],\n [-3, -1, -4, 2],\n [-2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-442", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, 2, 1],\n [3, 0, 3, 4],\n [2, 3, 2, 3],\n [1, 4, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21738", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-4, 1, -3, -1],\n [-4, -4, 0, -1],\n [2, -2, 4, 3],\n [-4, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 2, 1],\n [2, 0, 2, -1],\n [2, 2, -1, -3],\n [1, -1, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "704", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 4, -2, 2],\n [0, -4, 0, 1],\n [3, 4, 0, -3],\n [-4, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, -4, 3, 1],\n [-2, -2, -2, 0],\n [-2, -4, 2, -1],\n [4, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 2, 0],\n [-2, -3, 2, 2],\n [2, 2, 3, -2],\n [0, 2, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "803", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 2, -2],\n [0, 4, -3, 2],\n [2, -3, 4, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 2, 4],\n [4, -3, 1, -2],\n [-4, 0, -4, 3],\n [-1, -1, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "263", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[1, -1, -2, 1],\n [0, -1, 0, 3],\n [0, -3, -4, 1],\n [1, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "427", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, -4, -2],\n [2, 1, 2, 1],\n [-4, 2, 3, -1],\n [-2, 1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4545", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, 3, -3],\n [4, 1, 0, -2],\n [3, 0, -3, 4],\n [-3, -2, 4, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-289", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, 4, 0],\n [4, -4, -3, 3],\n [4, -3, 2, -2],\n [0, 3, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3764", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 2, 2],\n [1, -2, 0, 2],\n [2, 0, -4, 0],\n [2, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "703", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -1, -2],\n [-1, -2, -2, -1],\n [-1, -2, 1, 0],\n [-2, -1, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-333", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -3, -3],\n [-3, -4, 2, -1],\n [0, -2, 0, 4],\n [2, 1, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3418", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, 0, 2],\n [4, -1, -3, -4],\n [2, -4, -2, 1],\n [3, -4, 3, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-960", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -4, 4, 4],\n [4, -1, 4, 0],\n [-2, -4, 4, 0],\n [4, 1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1179", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -2, 0],\n [2, 4, 2, -2],\n [-2, 2, -4, 0],\n [0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "857", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 1, 0],\n [2, -4, 0, 1],\n [2, -3, 4, -3],\n [0, -1, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 4, -2],\n [0, -4, -4, 0],\n [3, 4, -1, -4],\n [-3, 3, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1942", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, 3, -2, 4],\n [-4, 0, 0, -3],\n [0, -4, -1, 3],\n [1, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-496", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 0, -2],\n [0, -4, -2, 0],\n [0, -2, 2, -2],\n [-2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "889", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 2],\n [-2, 2, 0, -2],\n [2, 0, -3, 1],\n [2, -2, 1, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[3, -2, -2, -2],\n [4, -1, -2, 1],\n [-4, 0, -3, 2],\n [-1, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, -3, 4],\n [-3, -4, -3, -3],\n [2, -2, 3, -4],\n [-3, 2, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4408", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 0],\n [0, 4, -2, 0],\n [0, -2, -3, 1],\n [0, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, -1],\n [-4, 0, 1, -1],\n [2, 3, 4, -3],\n [0, -1, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, -1, 0],\n [2, 0, 0, 2],\n [-1, 0, -4, -1],\n [0, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "610", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, 0, 0, 4],\n [0, -3, -1, 0],\n [0, -1, -3, 0],\n [4, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[1, -2, 1, -4],\n [2, 2, 3, 1],\n [-1, -2, -1, 1],\n [4, -4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-1, 0, -4, 3],\n [0, -1, 2, 0],\n [-4, 2, 0, -1],\n [3, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 1, 1],\n [2, 0, 4, -1],\n [1, 4, 4, 0],\n [1, -1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1064", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[4, -1, 0, -2],\n [1, -1, 0, 3],\n [4, 2, -4, -3],\n [-4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 4, 2],\n [2, -2, 0, 0],\n [4, 0, -2, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "776", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 2, -3],\n [2, 0, 3, -1],\n [-1, 0, 0, -3],\n [2, -4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, -1, -2],\n [0, -1, 3, 2],\n [-1, 3, 3, -2],\n [-2, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2567", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 4, -1, 1],\n [4, -1, 0, 3],\n [1, 1, -2, -3],\n [-2, 0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3994", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, 0, -1, 2],\n [0, -4, 3, -3],\n [-1, 3, -1, 1],\n [2, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[2, 0, 0, -2],\n [0, 4, 2, 0],\n [0, 2, 1, 3],\n [-2, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-1, 4, -1, -4],\n [-2, 4, 3, -2],\n [-4, 3, -4, -1],\n [-3, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -3, 3],\n [0, 3, 0, 0],\n [-3, 0, -3, -2],\n [3, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "677", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, -3, -2],\n [-1, 4, -2, -3],\n [1, 4, 4, 1],\n [3, -3, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6520", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 0],\n [0, 2, 2, 0],\n [0, 2, -1, 0],\n [0, 0, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -3, -4],\n [2, 0, -1, 1],\n [2, -3, -2, -3],\n [2, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "646", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-3, -3, 0, 0],\n [1, -3, 4, 4],\n [0, 1, -4, 3],\n [-1, -1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 3, 3],\n [3, -2, 2, -4],\n [-2, 0, -4, -3],\n [-2, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2333", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 2, 2],\n [2, -2, -2, -3],\n [2, -2, -3, -2],\n [2, -3, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24780", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, -4, -2],\n [0, 1, 1, -4],\n [1, 4, -4, 1],\n [-1, 0, 4, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 2, -2],\n [0, 2, -2, 2],\n [2, -2, 2, -2],\n [-2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6832", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 4, 0],\n [-1, 2, -3, 0],\n [4, -3, 4, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 3, -2],\n [1, 2, 4, -2],\n [3, 4, -4, 2],\n [-2, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "270", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 4, 2, 0],\n [-4, 2, 1, -1],\n [0, 0, -3, -2],\n [2, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2800", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, -2, -1],\n [4, 4, 2, -1],\n [-2, 2, 0, 2],\n [-1, -1, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1004", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 0, -4],\n [0, 2, 0, 4],\n [0, 0, 2, 1],\n [-4, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11266", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[1, -1, 2, 2],\n [-2, -3, 1, -2],\n [3, 1, 4, -3],\n [2, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[2, -4, 3, 0],\n [2, -4, -4, 1],\n [0, 3, 2, 4],\n [0, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, -3, 3],\n [-2, -1, -4, -4],\n [-4, -1, 4, -2],\n [-2, -2, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-638", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 3, 4],\n [4, 4, -3, 4],\n [-2, -3, -1, -2],\n [2, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1272", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -4, -2],\n [-3, 2, 1, 1],\n [-4, 1, -1, -1],\n [2, 1, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1206", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0, 2],\n [-3, -3, 0, -4],\n [1, 3, 0, 4],\n [2, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "496", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 4, 2],\n [0, -3, 2, 2],\n [4, 2, 4, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1630", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 0],\n [0, -3, -1, 2],\n [0, -1, 3, 0],\n [0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-1, 2, 1, 3],\n [3, 3, 3, 1],\n [-4, 0, -4, -4],\n [0, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[1, -2, 0, 0],\n [-2, 1, -2, 1],\n [0, -2, 0, -4],\n [0, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 3, -4],\n [-1, -3, 0, 4],\n [-2, -3, -4, 2],\n [0, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2917", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 2, 1, 4],\n [-1, 2, 0, -2],\n [-4, 0, 0, -1],\n [0, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, 0, 0],\n [-4, -1, 1, -2],\n [0, 2, 3, -4],\n [-4, -3, -3, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, 3, -2],\n [-3, 1, 1, -2],\n [1, 1, -3, -2],\n [0, -1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4929", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 0, 1],\n [-1, 2, -4, 0],\n [0, -4, -4, 0],\n [1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-442", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[4, 2, 2, -1],\n [3, 1, 3, -3],\n [2, -1, -3, -3],\n [-4, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1323", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 4, 4, -1],\n [4, 0, -3, -1],\n [-4, 2, -1, -1],\n [-2, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "288", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -2, -3, 4],\n [3, 1, -2, 4],\n [1, 3, -4, 3],\n [-4, -1, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1684", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, 0, 0],\n [1, 0, -1, 0],\n [0, -1, -2, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[3, 0, -4, 1],\n [4, 0, 4, 2],\n [2, -2, -1, 0],\n [-2, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, -1, -2],\n [1, 1, -4, 3],\n [4, -1, -3, -2],\n [-1, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-855", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, -3, -3],\n [1, 2, -3, 2],\n [-2, -4, -4, -3],\n [2, 4, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1005", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 2, 2],\n [2, -4, -2, 1],\n [2, -2, 0, -1],\n [2, 1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1521", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 4, 3, 0],\n [4, 1, -2, -2],\n [3, -2, 1, 1],\n [0, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[1, -1, 4, 0],\n [-4, -2, 2, 1],\n [-4, -2, 4, -3],\n [-2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, -2, -3],\n [1, -2, -3, -3],\n [-3, -4, 4, -2],\n [-4, 0, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15424", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 0, 0],\n [-3, 0, 0, 0],\n [0, 0, 2, 0],\n [0, 0, 0, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, 0, 0],\n [-1, 2, 0, -2],\n [0, 0, 1, 2],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1974", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 2, 0],\n [1, 0, 2, -2],\n [2, 2, 0, 0],\n [0, -2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "270", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -1, 0],\n [4, 3, 0, -2],\n [-1, 0, -2, 2],\n [0, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8403", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, -2, -3],\n [-3, -1, 2, -2],\n [4, -3, -2, 1],\n [3, -3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "552", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 4, 1],\n [-2, -3, -4, 0],\n [3, -4, -2, -2],\n [-2, -2, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1570", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -2, -3],\n [-2, 2, 0, 3],\n [-2, 0, 2, 4],\n [-3, 3, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1722", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, 0, -3],\n [-3, 0, -3, 2],\n [4, -2, -2, -1],\n [2, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, -4, -4],\n [3, -4, 1, -2],\n [-1, -2, -3, -1],\n [4, -3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3053", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 1, -1, 0],\n [1, -3, 0, -2],\n [-1, 0, -1, 4],\n [0, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9408", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 2, 2],\n [-2, -3, 1, -4],\n [1, -3, 4, 0],\n [0, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -4, 0, -1],\n [3, 2, 0, -2],\n [-3, 0, 0, 3],\n [-4, -4, -4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2551", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[2, -2, 0, 0],\n [-2, -2, 2, -1],\n [0, 2, -3, 0],\n [0, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-266", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, 4, 2],\n [1, -2, 2, 1],\n [4, 2, 2, 0],\n [2, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8556", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, -1, -1],\n [0, -2, -1, -3],\n [-3, -1, -4, 4],\n [4, 4, 4, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, -2],\n [1, 0, 4, 3],\n [-3, -1, -1, 4],\n [-2, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -4, 0, -4],\n [-2, 0, -4, -3],\n [-3, -4, -2, 2],\n [-1, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1832", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 4, -3],\n [-4, 1, 1, 0],\n [-3, 1, 2, -3],\n [0, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1046", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[3, 1, -1, 2],\n [1, -1, -1, 1],\n [-1, -1, 2, 0],\n [2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -1, 0, -4],\n [-3, -1, -3, 4],\n [0, -3, -4, 2],\n [-2, -1, 2, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "675", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 3, -4, -2],\n [3, 3, 0, -2],\n [-4, 0, -3, 0],\n [-2, -2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4410", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -1, -1, 2],\n [0, -2, 4, -3],\n [2, 0, -4, -3],\n [-2, 4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "931", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2, 2],\n [0, -4, 4, 4],\n [-2, 4, 1, 0],\n [2, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "239", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 4, 1],\n [3, 0, 2, 1],\n [3, -4, 2, 0],\n [3, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1019", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 1, 4],\n [-2, 2, 2, 0],\n [1, 2, 2, 2],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2478", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, 3, 3, -3],\n [4, 4, -4, 1],\n [-1, -1, -1, 1],\n [-2, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 2, 0],\n [0, -2, 4, 0],\n [2, 4, -1, 0],\n [0, 0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2906", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, 3, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "363", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 4],\n [-2, 1, -1, -2],\n [2, -1, -4, 0],\n [4, -2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6209", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 3, 3, 2],\n [-3, -3, -2, -2],\n [-4, -4, -4, -1],\n [4, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1066", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, 3, 0],\n [0, 2, 3, 4],\n [-4, -1, -4, -1],\n [0, 0, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "589", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, -2, -2],\n [-2, -3, 2, 2],\n [-2, 2, -4, 1],\n [-2, 2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "787", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, -4, 0],\n [2, -2, -2, 1],\n [-3, 1, -1, -4],\n [-1, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4079", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[4, -2, 4, -2],\n [1, 4, -4, -4],\n [1, 2, 2, -3],\n [0, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -2, -3],\n [2, 1, 0, 2],\n [-1, -1, 3, -3],\n [0, -1, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "431", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, 0, -4],\n [2, -3, 2, -2],\n [0, 2, 3, 2],\n [-4, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8404", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -2, 4],\n [4, -4, 3, 3],\n [3, -3, 2, 3],\n [2, 4, 3, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, 0, 0],\n [-4, 1, 2, 4],\n [0, 2, 2, -3],\n [0, 4, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1322", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 0],\n [0, -3, 0, 0],\n [0, 0, -3, 2],\n [0, 0, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, -2, -4],\n [1, -1, 1, 2],\n [-2, 1, 3, 0],\n [-4, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6271", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, -3],\n [0, 2, 1, 2],\n [0, 1, 3, 0],\n [-3, 2, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2878", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -2, 2],\n [0, 0, 0, -3],\n [-2, 0, -2, -2],\n [2, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1018", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 3, 3],\n [0, 4, -1, 4],\n [-3, 0, -3, 4],\n [-1, -2, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "485", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, 1, 0, 4],\n [-2, 0, -3, 0],\n [0, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "903", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, 0, -4],\n [-2, 4, 1, 3],\n [3, -3, 3, -1],\n [4, -3, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-377", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[0, -2, -4, 4],\n [0, -1, 3, 4],\n [-1, 1, -2, -3],\n [2, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 2, -4, 0],\n [2, -2, 0, 0],\n [-4, 0, -3, 2],\n [0, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 0, -4],\n [-4, -1, -1, -2],\n [4, -4, 0, -4],\n [-2, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10552", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 2, -2],\n [-3, 0, -1, 2],\n [3, 3, -2, -1],\n [-3, 0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4065", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -1, 4],\n [-2, 3, -1, 1],\n [-1, -1, 2, 0],\n [4, 1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 2, -2],\n [1, 0, 1, 0],\n [2, 1, -2, -1],\n [-2, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -4, -1, 2],\n [-4, -3, 0, -2],\n [-1, 0, -1, -1],\n [2, -2, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "800", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -1, 3],\n [-2, -1, 0, 3],\n [-1, 0, -4, 2],\n [3, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 1, 3],\n [1, -3, 3, -1],\n [3, 3, -2, 3],\n [-4, 3, 2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 1, 4, -2],\n [-3, 4, 2, -3],\n [-4, 3, -1, 1],\n [-3, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1026", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 0, 0],\n [1, 2, 2, 4],\n [0, 2, 1, 0],\n [0, 4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5227", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 2, 4],\n [-2, 1, 1, 2],\n [2, 1, 1, 0],\n [4, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1985", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, 1, -1, 0],\n [-2, 4, -3, -3],\n [-2, 3, 1, 4],\n [-2, 4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, 3, 4],\n [-1, 4, -1, 0],\n [3, 1, 3, 0],\n [-3, 1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2438", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 4, 4, -1],\n [-4, 2, -4, 0],\n [3, 1, 2, -3],\n [-4, 3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-3, 4, 1, -1],\n [4, -4, 0, -2],\n [-2, 3, -4, 3],\n [2, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-708", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[3, -2, 0, 0],\n [-2, 1, -3, 0],\n [0, -3, -2, 4],\n [0, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 0, -1, 4],\n [1, -3, -4, 0],\n [-4, -3, 4, -1],\n [-2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, -1, -3],\n [3, 3, 4, -4],\n [2, -2, 3, -3],\n [1, 3, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13750", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 2, 0],\n [2, -4, -3, -1],\n [2, -3, -1, -2],\n [0, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12582", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[3, -2, 2, -3],\n [-2, 1, 4, -3],\n [0, 2, 0, -2],\n [-1, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 3, -1],\n [-2, 0, 1, -1],\n [-3, 1, 0, -1],\n [3, 4, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "731", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, 0, 4],\n [-3, 2, 1, -2],\n [-3, 1, 1, 0],\n [0, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3506", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 0, 0],\n [-1, 1, 2, 4],\n [0, 2, 0, 2],\n [0, 4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "617", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 4, 2],\n [0, -4, 2, 2],\n [4, 2, -2, 2],\n [2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6093", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-3, 4, -1, 1],\n [-4, 2, -1, 1],\n [3, 1, -4, 4],\n [2, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, -2, 1],\n [-2, 1, -3, -2],\n [-2, -3, -3, 0],\n [1, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "842", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 2, 0],\n [-3, 1, 0, -2],\n [2, 0, 3, -2],\n [0, -2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2201", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 3, -2],\n [-2, 2, -1, 2],\n [3, -1, -4, -1],\n [-2, 2, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 1, -4],\n [-2, -1, 2, -3],\n [4, -1, -4, -2],\n [-1, -4, 1, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -1],\n [2, -2, 0, 3],\n [2, 0, 3, -2],\n [-1, 3, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4284", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, -3, 0, -1],\n [-3, -2, 0, 0],\n [0, 0, 1, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 3, 1],\n [4, 2, 2, 3],\n [1, 0, 2, -2],\n [-3, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "560", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, -1, 0, 0],\n [-1, -1, -1, -3],\n [0, -1, -2, -1],\n [0, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0, 2],\n [0, 4, 2, 0],\n [0, 2, -2, 0],\n [2, 0, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -2, 2],\n [-1, 0, 1, 1],\n [-1, -4, 2, -3],\n [0, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-706", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 2, 3],\n [0, -4, -1, -2],\n [2, -1, -3, 2],\n [3, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-3, -2, -4, 1],\n [4, 2, -4, -3],\n [4, -1, 2, 4],\n [-3, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, -3, -2, 1],\n [-4, -4, -3, -2],\n [4, -1, -2, 4],\n [1, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -4, 0, -1],\n [-4, -2, 2, -2],\n [0, 2, 4, -2],\n [-1, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4040", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, -1, 3],\n [4, -1, -4, -4],\n [4, 0, 0, 0],\n [3, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1275", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-4, 0, -1, 0],\n [0, -3, 2, 2],\n [-1, 2, -4, 0],\n [0, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -2, 3],\n [1, 1, 2, -2],\n [-2, 2, 1, -1],\n [3, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "754", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 0, 2],\n [-2, -3, -2, 2],\n [0, -2, -4, -2],\n [2, 2, -2, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 4, 2, 0],\n [-1, 2, 1, 0],\n [-2, 4, 1, 0],\n [-2, 2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, -2],\n [3, 4, 1, 3],\n [4, -2, -4, 4],\n [-4, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1418", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 4, -2, 2],\n [-4, -3, -4, 2],\n [1, 0, 2, 1],\n [-1, 0, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4891", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -3, 0, 2],\n [3, 2, -1, -1],\n [3, 3, 3, -4],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1386", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -2, 0],\n [0, -2, -2, 0],\n [-2, -2, 3, 0],\n [0, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1777", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, -1, 4],\n [4, 2, 3, -1],\n [-4, 0, -2, 4],\n [0, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, 3, 0],\n [0, 0, 0, -2],\n [3, 0, 3, -2],\n [0, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 2, 0],\n [0, -3, -2, 0],\n [2, -2, 0, 0],\n [0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1378", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 3],\n [0, 0, -3, 0],\n [0, -3, -1, 1],\n [3, 0, 1, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[0, -2, 3, 1],\n [-1, -1, 4, -4],\n [0, 1, -2, 1],\n [-2, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, 2, 1],\n [-4, 0, 0, 0],\n [2, 0, -4, -2],\n [1, 0, -2, 4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 4, 1],\n [1, -1, 4, 0],\n [0, -3, -3, 0],\n [-4, -2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "419", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, 2, 4],\n [-2, 1, 2, 0],\n [2, 2, -2, 1],\n [4, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11187", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -4, 4],\n [-3, -2, -2, 3],\n [-2, -2, -2, -1],\n [-2, 1, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5536", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, 0, 2],\n [1, 1, -1, 2],\n [0, -2, -3, -1],\n [4, -1, -4, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-558", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, -1, 1],\n [-3, -3, -2, 2],\n [1, 0, 3, 3],\n [3, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2156", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 0],\n [-2, 1, -1, 4],\n [0, -1, 4, 2],\n [0, 4, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, -3, 0, 1],\n [-2, 2, -1, -3],\n [2, 1, 4, -3],\n [-3, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, -1],\n [-2, -3, -1, 2],\n [2, -1, 1, 2],\n [-1, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "910", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, -3, 2],\n [-2, 2, 2, -2],\n [3, 1, 1, 3],\n [4, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -3, 1],\n [2, 3, 2, 1],\n [-3, -3, 4, 1],\n [-4, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4944", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -2, -1],\n [2, 0, 1, 0],\n [-2, 1, 3, 3],\n [-1, 0, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1312", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -4, 1],\n [-3, 2, 1, -2],\n [-1, 0, 0, -4],\n [3, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "732", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, -1, -1],\n [-3, 3, -2, 1],\n [-1, -2, 1, -1],\n [-1, 1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "712", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 0, -2],\n [2, 0, -2, 0],\n [0, -2, 3, 1],\n [-2, 0, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "329", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -3, -4],\n [4, 4, -4, -4],\n [3, 3, -1, 0],\n [4, -3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "922", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, -2, 0],\n [2, -2, 2, 2],\n [-2, 2, 3, 2],\n [0, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1075", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -2, 2],\n [-2, -4, 2, 0],\n [-2, 2, 4, -2],\n [2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, 4, 2],\n [-4, 3, 3, 3],\n [4, 1, 4, -4],\n [-2, -1, -1, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, 0, 0],\n [3, -1, 2, 2],\n [-3, -1, 3, 4],\n [0, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 1, 0],\n [-2, -1, 3, -4],\n [1, 3, 1, 2],\n [0, -4, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1063", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, -1, -4],\n [1, -1, -2, -4],\n [0, 4, -3, -4],\n [2, 3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3880", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[4, 1, 0, -1],\n [4, 2, 3, 1],\n [1, -3, 1, -3],\n [0, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, 0, -2, 1],\n [0, 1, -2, 0],\n [-2, -2, 2, -2],\n [1, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[1, -2, -3, 2],\n [-4, 2, -3, 4],\n [2, 0, 2, 0],\n [-3, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 3, 2, -1],\n [1, 1, -1, -1],\n [2, -2, -3, -1],\n [-1, -1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1614", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, -2, -4],\n [2, -1, 1, -1],\n [-2, 1, 1, -2],\n [-4, -1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2815", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, -2, 0],\n [3, -1, 3, 1],\n [-2, 3, 2, 0],\n [0, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 3, 0],\n [0, 2, 3, -4],\n [4, -3, -1, -3],\n [-4, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 4, -3, 0],\n [-4, 1, -2, 3],\n [-4, -3, -4, 0],\n [0, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6889", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 1, -4, -3],\n [-2, 3, 3, 3],\n [2, -4, -2, 3],\n [0, 3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "786", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, 1, 0, 2],\n [1, 3, 4, -1],\n [0, 4, -4, 0],\n [2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, -2, 1],\n [-3, 3, 4, 0],\n [-2, 4, -2, 2],\n [1, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13944", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2, 0],\n [1, 3, 0, -1],\n [2, 0, 0, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 3],\n [0, 3, 0, 2],\n [2, 0, -1, -3],\n [3, 2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "788", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, -1, -3],\n [-1, 4, -2, 1],\n [-1, -2, 0, 0],\n [-3, 1, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 0, 2, 4],\n [0, 3, -4, -3],\n [2, -4, -2, 4],\n [4, -3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-280", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 0, 0],\n [1, -1, 1, 0],\n [0, 1, 4, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "545", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 1],\n [0, 0, 3, -4],\n [0, 3, 0, 0],\n [1, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4287", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 0, 0],\n [2, -2, -2, 0],\n [0, -2, 2, -1],\n [0, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, 3, -2],\n [0, 2, 1, 3],\n [3, 1, 3, 0],\n [-2, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, -2, 4, 3],\n [0, 4, -3, -2],\n [-1, -1, 2, 0],\n [0, 1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, 0],\n [-2, -2, -1, 4],\n [-3, -2, 1, 1],\n [0, 1, 1, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -4, 4, -3],\n [4, 0, 3, 3],\n [2, -2, 3, 3],\n [-1, -4, -4, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-474", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, -2, 0, 0],\n [-2, 2, -2, -1],\n [0, -2, 2, -3],\n [0, -1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 1, -2],\n [-2, 4, 0, 0],\n [2, -3, -2, 1],\n [0, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "591", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -4, -3],\n [-1, 3, 4, 3],\n [3, 4, -2, 0],\n [-3, -4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "775", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 1, -1],\n [3, -1, -3, 4],\n [2, 2, 3, 3],\n [-3, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 1],\n [-1, -3, 2, 4],\n [-1, -1, -1, 2],\n [2, -4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1027", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 0, 4],\n [4, 2, 4, -3],\n [0, -3, -1, 1],\n [4, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1331", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 4, -2],\n [4, 3, -4, 0],\n [-4, -2, -2, 4],\n [-1, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "536", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 2, -1],\n [0, -1, 0, 0],\n [2, 0, -2, -2],\n [-1, 0, -2, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "330", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 1, 3, 4],\n [0, -4, -2, -1],\n [2, 2, 1, -1],\n [0, -4, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3560", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-1, 4, 2, -4],\n [-4, 4, -3, -4],\n [3, -3, -2, 3],\n [-2, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-342", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, 4, 1],\n [4, 1, -1, -2],\n [-4, 1, -1, -1],\n [1, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3973", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 2, 3],\n [-1, -1, -1, -3],\n [2, -1, 3, -2],\n [3, -3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "852", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, -4, -2],\n [1, 2, 0, 4],\n [-4, 0, 3, 1],\n [-2, 4, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "430", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, -2, -2],\n [4, 4, 1, 4],\n [0, -3, 4, 0],\n [1, -4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-497", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 2, 0],\n [1, -4, -1, -3],\n [2, 4, 1, 4],\n [-4, -3, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3572", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 0, 1],\n [0, -1, 0, 1],\n [0, 0, 0, 2],\n [1, 1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "482", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 3, 3, -4],\n [-1, 0, 1, 0],\n [2, -1, 2, 3],\n [4, 2, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1626", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -3, 3, 3],\n [-3, -1, 2, -3],\n [3, 2, 3, -2],\n [3, -3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1286", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 1, -3, 4],\n [-4, -4, 3, -4],\n [1, 3, -3, 4],\n [1, 0, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "863", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, 2, -3, 0],\n [2, 3, 0, 3],\n [-3, 0, 3, -2],\n [0, 3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -2, -1],\n [-1, -3, 2, 1],\n [1, 1, 1, 1],\n [1, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "345", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[4, 0, 2, 0],\n [4, -2, -1, 1],\n [3, 1, 0, 1],\n [-1, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 1],\n [4, 0, 4, 4],\n [-2, 3, -1, -2],\n [0, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 4, -4, -3],\n [4, -1, 4, 3],\n [0, 1, -2, -2],\n [3, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1564", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, -4, -1],\n [-2, 3, 2, -1],\n [3, -2, -1, 3],\n [-2, 2, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 2, 0],\n [2, 0, -1, 1],\n [2, -1, 1, -2],\n [0, 1, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2313", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, 2, -2],\n [0, 3, -2, 2],\n [1, -2, -1, 1],\n [-4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "738", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -2, -4, 0],\n [-2, 0, -4, -1],\n [-3, -2, -1, -3],\n [0, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12931", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -4, -2],\n [3, 0, -2, -3],\n [-4, 3, 4, 2],\n [1, 1, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-402", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 3, -1],\n [4, -3, 2, -2],\n [2, -3, -2, 3],\n [3, -4, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "457", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 1, -4],\n [-3, 2, -2, -3],\n [4, 3, 1, -4],\n [2, -4, -1, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-651", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, 4, -2, 0],\n [4, 3, 2, 0],\n [-2, 2, 1, -2],\n [0, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1001", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, 3, 4],\n [-3, -2, 1, 2],\n [1, -1, -2, 2],\n [2, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "576", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 1, -1],\n [-2, 2, 2, 1],\n [-1, 0, 4, 0],\n [-2, 2, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 0, -1],\n [2, -4, 1, 4],\n [0, 1, 4, 0],\n [-1, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1720", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -1, 2],\n [3, -3, -1, 2],\n [-3, 2, -4, 4],\n [4, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8052", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, 0, 1, 2],\n [0, -3, -2, 0],\n [1, -2, -2, 0],\n [2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 0, -3],\n [-2, 4, -3, 0],\n [0, -3, -3, -2],\n [-3, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11626", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -2, -2],\n [-2, -2, 0, 0],\n [-2, 0, 1, -2],\n [-2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "329", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 1, 0, -2],\n [1, -4, 0, 1],\n [0, 0, 4, 0],\n [-2, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -4, 2],\n [3, 1, -2, -2],\n [3, -1, -3, 2],\n [-2, 3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 4, -2, 2],\n [1, -2, 2, 1],\n [1, -3, -3, 1],\n [1, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[1, -2, 0, 0],\n [-2, -1, -3, 4],\n [0, -3, 1, -4],\n [0, 4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 0, 0],\n [2, -4, 0, 2],\n [0, 0, -4, 2],\n [0, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3225", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -4, 0],\n [-3, 4, -1, 4],\n [-3, 1, 4, 3],\n [3, 2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "710", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 1, -1, -1],\n [4, -3, 3, 0],\n [-1, -2, 4, 3],\n [1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4515", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -1, -3],\n [-1, -2, -1, -3],\n [0, -4, -1, 2],\n [2, 4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "613", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 4, 3, 3],\n [-4, -4, 1, -2],\n [-3, -1, 2, 4],\n [2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "831", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -3, 0],\n [2, -2, 3, -3],\n [2, -1, -1, -2],\n [3, 2, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, 3, -1],\n [3, 0, 2, 4],\n [-1, -1, 3, 3],\n [-2, 3, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 2, 0],\n [0, 2, -2, 0],\n [2, -2, 1, -4],\n [0, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, -2, 3],\n [2, 1, 2, -3],\n [-2, 3, 2, -1],\n [2, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -2, -1],\n [0, 4, 1, 0],\n [-2, 1, 4, 1],\n [-1, 0, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8054", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, -4, 2],\n [1, -1, -2, -3],\n [-2, 4, -1, 0],\n [3, -1, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, -2, -4],\n [0, 2, -4, 2],\n [-2, -4, -3, 1],\n [-4, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 0, 0],\n [0, 3, 0, -2],\n [0, 0, -1, 2],\n [0, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[3, 0, 1, 4],\n [-3, -2, -2, -4],\n [-2, 4, -2, -1],\n [2, 3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "275", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-3, -2, -2, -1],\n [2, 1, -4, 4],\n [-3, 3, 3, 2],\n [2, 3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -2, -2, 2],\n [-2, 1, -1, 1],\n [-2, -1, 2, 1],\n [2, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "385", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 2, -3],\n [3, 1, 4, -2],\n [-1, 1, 3, -1],\n [-3, 3, -4, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, -2, -1, 2],\n [-2, -2, 2, 2],\n [-1, 2, 2, 2],\n [2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -1, 1],\n [1, 0, 3, -3],\n [-2, -1, -3, 4],\n [-1, 0, -2, -1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 3, -2, -3],\n [-1, -1, -4, -4],\n [-2, -3, -3, -4],\n [-2, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1811", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 0, -1],\n [0, 2, 0, 0],\n [0, 0, -3, -1],\n [-1, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, -3, -2],\n [2, 2, -2, 0],\n [-3, -2, 1, -1],\n [-2, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "913", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[4, 1, -2, 0],\n [1, 1, -2, 1],\n [-2, -2, 4, -1],\n [0, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, 2, 0],\n [-2, -4, 2, -4],\n [2, 2, 3, 1],\n [0, -4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9576", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-3, -4, 1, 1],\n [2, -3, -3, 2],\n [2, -3, 1, 3],\n [3, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 4, 3, 2],\n [3, -4, 2, -3],\n [0, 3, -3, 4],\n [0, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 1, -2],\n [2, 1, -2, 1],\n [1, -2, -3, -1],\n [-2, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "525", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, -2, -3, 0],\n [-2, 0, 1, 4],\n [-4, 4, -1, 2],\n [4, 3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, -1, 2],\n [-2, 2, 4, 4],\n [4, 3, -2, -3],\n [1, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "990", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, -2, -2],\n [2, -2, 0, -1],\n [0, -1, -4, 4],\n [2, 3, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2071", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[3, -2, -1, -4],\n [-2, 4, 2, 2],\n [-1, 2, -2, -2],\n [-4, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "522", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[1, 1, -4, -4],\n [3, 4, 3, 4],\n [-1, 2, 3, 4],\n [1, -1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0, 2],\n [0, -1, -2, 1],\n [0, -2, 3, -1],\n [2, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "626", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -2, -1],\n [2, -1, -2, -2],\n [-2, -2, -1, -2],\n [-1, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "974", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, -1, 1],\n [2, -3, -2, 2],\n [-1, -2, -4, 0],\n [1, 2, 0, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, -3, 4],\n [4, -4, 1, -2],\n [-3, 3, -4, 0],\n [0, 1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "904", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, -2, 4],\n [1, -1, -1, -3],\n [-3, -1, 0, -1],\n [-1, 4, 4, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -1, 3, -2],\n [-1, 3, 3, 1],\n [3, 3, -3, 2],\n [-2, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1588", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, -1, -1],\n [-4, 2, -1, -4],\n [4, -3, -3, -4],\n [4, -1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-1, 3, 2, 4],\n [-2, 0, 1, -4],\n [2, 4, -4, 4],\n [3, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -2, 0, 2],\n [-2, 0, -1, 0],\n [0, -1, 0, 0],\n [2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1254", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 2, -1],\n [4, -4, -2, 4],\n [1, 1, 3, 0],\n [-1, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[4, -2, 0, 0],\n [-2, -3, 0, 0],\n [0, 0, -3, 4],\n [0, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 3, -2, 0],\n [3, 3, 2, 2],\n [-2, 2, -4, 2],\n [0, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9229", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -1, 2],\n [-1, 0, 2, -3],\n [-1, 2, -4, 1],\n [-4, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2398", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[0, 3, -1, -4],\n [-4, -3, 3, -2],\n [-4, -1, -3, -2],\n [3, -4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 4, 0],\n [2, 3, 0, 0],\n [4, 0, 3, 0],\n [0, 0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "504", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -3, 0],\n [0, -3, 0, 2],\n [-3, 0, -2, 0],\n [0, 2, 0, -3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, 0, 2],\n [0, -1, -4, 1],\n [0, -4, -4, -1],\n [2, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5489", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, -2],\n [0, 0, -1, 2],\n [0, -1, -4, 0],\n [-2, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 0],\n [0, 3, 2, -4],\n [0, 2, 4, 2],\n [0, -4, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1742", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, 1, 2],\n [2, 1, 2, 2],\n [1, 2, 0, 2],\n [2, 2, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14580", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 3, 4, 0],\n [3, -3, 1, 0],\n [4, 1, -3, 1],\n [0, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1771", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 0, -2, 0],\n [0, -1, 4, -3],\n [-2, 4, -4, 0],\n [0, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 3, 4, -3],\n [-2, -1, -4, 2],\n [1, 1, -2, -3],\n [-3, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-638", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 4],\n [3, 0, -4, 3],\n [-3, 1, -4, -4],\n [-1, -3, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5156", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, -1, 4],\n [1, 0, -1, 4],\n [-2, -4, 0, 2],\n [-2, 3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "551", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, -4, 0],\n [-2, 3, 2, 2],\n [-4, 2, 3, -2],\n [0, 2, -2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 3, 3, -1],\n [2, -4, 0, 1],\n [-1, 3, -3, 4],\n [0, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 4, -4, -3],\n [-2, -4, 4, -2],\n [-4, -1, 3, 2],\n [-4, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 2, 0],\n [0, -1, -1, -4],\n [2, -1, -3, 1],\n [0, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "639", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, 3, -4],\n [-3, -2, -1, 3],\n [2, 2, -3, -4],\n [-1, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, 0, 1],\n [1, 1, 1, -2],\n [0, 1, 2, 2],\n [1, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2, 1],\n [-1, 1, -3, 1],\n [2, 0, -3, 0],\n [4, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "275", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, -2, -3],\n [-4, 0, -1, 3],\n [4, -2, 3, -2],\n [2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "939", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, 1, 2],\n [4, 3, 0, 0],\n [1, 0, 0, 1],\n [2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7905", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, 0, 2],\n [4, -4, 1, 1],\n [1, -1, -2, 3],\n [2, -3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1274", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 2],\n [-1, -2, -1, 0],\n [0, -1, 2, 0],\n [2, 0, 0, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, -3, -2, 1],\n [2, 1, -4, 2],\n [2, -3, 0, 2],\n [-1, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, 0],\n [0, -1, -1, 2],\n [0, -1, 4, 0],\n [0, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "615", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -3, 0],\n [0, -3, -2, -2],\n [-3, -2, 4, -1],\n [0, -2, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "859", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 4, 1, 0],\n [4, 3, 2, -1],\n [1, 2, 3, -2],\n [0, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1246", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -2, -2],\n [0, -3, 2, 0],\n [-2, 2, 4, 2],\n [-2, 0, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4085", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-2, -3, -4, 0],\n [-3, 0, 0, 0],\n [-4, 0, -4, 0],\n [0, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-4, 0, -4, 2],\n [0, 2, -4, -2],\n [-4, -4, -1, -2],\n [2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-216", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -1, 0, 2],\n [3, 3, -3, 1],\n [-4, 1, 3, 1],\n [3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 1, -3, -3],\n [-2, -4, -1, 2],\n [3, -2, 4, 2],\n [4, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1252", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[4, -1, 1, 0],\n [3, 0, -4, 2],\n [0, -4, -3, 2],\n [-2, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, -2, -2],\n [4, -3, -3, 3],\n [-3, -3, 4, 4],\n [2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1003", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 4, -1],\n [3, 1, -1, 4],\n [2, -2, 1, 2],\n [1, 1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[4, -2, 1, -1],\n [-2, -2, 0, 1],\n [1, 0, 2, 2],\n [-1, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 3, -3, 0],\n [3, -1, -2, 1],\n [-3, -2, -2, -2],\n [0, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "957", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -3, 2, -2],\n [-3, 1, -4, -2],\n [2, -4, -2, 2],\n [-2, -2, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6413", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -4, -2, 4],\n [1, 1, 3, 2],\n [0, 0, -4, 2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 0, 0],\n [-1, -2, 3, 0],\n [-1, 2, -3, -2],\n [-1, 3, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1919", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, 1, 0],\n [1, 2, 4, 0],\n [1, 4, -4, -1],\n [0, 0, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "326", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, -2, -2],\n [-2, -3, -2, 0],\n [-2, -2, -4, 2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-646", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 0, -4],\n [-2, 2, -2, 4],\n [1, 4, -4, 0],\n [3, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "889", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 2, 3],\n [-2, 3, 4, 0],\n [0, -1, 3, 0],\n [2, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3016", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, -3, 2, -1],\n [0, 2, -3, -2],\n [0, -1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "525", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 0, -3],\n [3, 4, 4, 0],\n [0, 4, -4, -1],\n [-3, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1924", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 1, 2],\n [0, -2, 0, 0],\n [1, 0, -4, -3],\n [2, 0, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, 0],\n [2, -1, 0, -2],\n [-2, 0, 1, -1],\n [0, -2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 3, 4, -1],\n [2, 1, -4, 0],\n [1, 4, 1, 3],\n [0, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "654", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, 2, -2, -4],\n [4, 4, 0, -4],\n [-2, -2, 0, -4],\n [-3, 3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[3, 3, -3, 0],\n [0, 2, 4, 2],\n [-4, 2, 0, 4],\n [-2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 0, 2],\n [2, -2, 1, 0],\n [0, 1, 3, -2],\n [2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "488", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, 4, 2, 0],\n [4, 3, 3, 0],\n [2, 3, -2, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, -4, -1],\n [2, -1, -1, -4],\n [3, 2, -3, 3],\n [3, 0, -2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-2, 0, 0, 0],\n [0, -4, -1, -3],\n [0, -1, 4, 1],\n [0, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, 1, 0],\n [-4, 0, 2, 2],\n [1, 2, 4, -2],\n [0, 2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, -3, -2],\n [1, 2, -2, -2],\n [-3, -2, -4, 2],\n [-2, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-197", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 2, 0, 0],\n [1, 3, -2, 1],\n [3, -4, 2, 2],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, -2, 0, 0],\n [-2, -1, -2, 1],\n [0, -2, 4, -2],\n [0, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, -2, 2],\n [-4, -1, 2, 0],\n [-2, 2, -4, -3],\n [2, 0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2942", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, -1, -2],\n [3, -2, -4, -4],\n [0, 4, -2, 0],\n [1, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, -3, -4],\n [-4, -3, 0, 4],\n [-1, -1, 4, -4],\n [0, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, 0, 3],\n [4, -3, 3, 3],\n [-3, -4, 0, -1],\n [3, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2023", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -4, -3],\n [-1, 2, 2, -3],\n [-1, -2, -3, -1],\n [1, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -2, 2],\n [0, 4, 0, 0],\n [-2, 0, 3, 1],\n [2, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, -1, -1],\n [1, -1, -3, 3],\n [-4, -2, -2, 1],\n [2, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, 0, 2],\n [2, -2, 2, -1],\n [0, 2, 4, 2],\n [2, -1, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, -1, 4],\n [-3, 4, -3, -1],\n [0, 3, 1, 3],\n [-2, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, -2],\n [0, -3, 0, 2],\n [0, 0, 3, 2],\n [-2, 2, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 4, 0, 2],\n [4, -1, -1, -1],\n [0, -1, 1, 0],\n [2, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, 0, -3],\n [0, -2, 3, -4],\n [2, -3, 3, 2],\n [-3, -2, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1991", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -2, 1],\n [-2, -3, -2, -4],\n [0, -4, -4, -1],\n [2, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1321", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, 4, -2],\n [-4, -2, 1, 3],\n [4, -3, -4, -2],\n [2, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7700", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 3, -2, -1],\n [-2, 1, 0, 1],\n [-3, -3, 3, -4],\n [2, 2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 4, 0],\n [-2, -3, 2, 0],\n [4, 2, -1, 2],\n [0, 0, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7791", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, -4, 2],\n [4, -2, 0, -2],\n [-4, 0, 4, 0],\n [2, -2, 0, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2188", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[1, 0, 2, 2],\n [1, -3, -4, 3],\n [-3, -3, -4, 4],\n [-1, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1022", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 2, 0],\n [3, -4, 3, -3],\n [3, -1, 1, -3],\n [1, 3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[2, 4, -4, 2],\n [-3, -4, -1, 3],\n [3, 0, 2, 4],\n [0, -4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -4, -2, 0],\n [-4, -3, 0, 1],\n [-2, 0, 0, 2],\n [0, 1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3829", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-3, 2, -3, -4],\n [-4, -4, -3, 0],\n [2, 2, -1, 3],\n [0, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, -4, 4],\n [-2, 2, 3, 4],\n [-2, -4, -2, -4],\n [4, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 0, 0],\n [0, 3, -4, 2],\n [0, -4, 3, -1],\n [0, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, -3, 3],\n [2, -2, -3, -1],\n [4, -4, -1, 2],\n [-2, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 0],\n [-2, 1, -2, -3],\n [0, -2, 4, -2],\n [0, -3, -2, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -4, -3],\n [1, -3, -1, 3],\n [-2, 1, -1, -2],\n [1, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 4, 4, 3],\n [4, 1, -4, 3],\n [0, 3, 0, 4],\n [-2, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "836", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 3, 2],\n [-2, 1, -1, 4],\n [0, 1, 4, 0],\n [-1, -3, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "598", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, -2, -3],\n [0, 2, 2, -2],\n [3, -1, 1, 2],\n [-2, 3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1181", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, 2, -3],\n [2, 3, -1, -1],\n [-3, 4, -1, 0],\n [-1, -3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4060", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, 3, 1, 2],\n [-4, -4, -2, 2],\n [-3, 0, 2, 1],\n [2, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[3, 2, -2, -1],\n [2, -3, -1, -2],\n [-2, -1, -3, -2],\n [-1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, 4, 2],\n [2, 0, 2, 0],\n [-2, 2, -2, 4],\n [3, 3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[0, 0, -2, 1],\n [-4, -3, 1, 3],\n [-4, -2, 3, 0],\n [1, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-295", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -4, -4],\n [4, 2, 2, -2],\n [1, 0, 4, 2],\n [-2, 4, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "530", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, -2, -2],\n [-2, -1, 2, -1],\n [-2, 2, 1, -1],\n [-2, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5560", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 3, -1, -4],\n [-1, 2, -4, 3],\n [-2, -2, -3, 4],\n [3, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3733", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 4, -2],\n [0, 1, 0, 0],\n [4, 0, 1, 3],\n [-2, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5694", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -4, -1],\n [-1, -1, -4, -1],\n [3, 3, 0, 3],\n [-2, -4, 0, -1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-2, -2, -2, -1],\n [-2, 1, 2, -2],\n [-2, 2, 1, 0],\n [-1, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -2, 0],\n [2, -1, 0, -2],\n [-2, 0, 4, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 2, -2],\n [-2, -1, -2, -2],\n [2, -2, 3, 4],\n [-2, -2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14471", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 0, -3],\n [1, 3, -4, 2],\n [-2, -3, -2, 3],\n [0, -3, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-4, -4, -2, 4],\n [-4, -1, 0, 1],\n [-2, 0, 2, 0],\n [4, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, 0, -2],\n [-4, 0, 1, 3],\n [0, 1, -1, 2],\n [-2, 3, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, -3, 4],\n [4, 2, -1, 2],\n [-3, 2, -3, -4],\n [-1, -4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1596", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 1, -2],\n [0, 4, 2, 0],\n [1, 2, -1, 4],\n [-2, 0, 4, -1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "426", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, 3, -1],\n [4, -2, 2, 4],\n [-4, 3, 3, 0],\n [4, 2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1108", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -2, -4, -3],\n [-3, 0, 3, -3],\n [-3, -3, 1, 1],\n [-2, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 0, 4],\n [3, -4, 3, -1],\n [0, 3, -4, 2],\n [4, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 0, 4],\n [-4, 0, 4, -2],\n [2, 0, -2, -2],\n [3, 2, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1784", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -2],\n [2, 2, 0, 2],\n [0, 0, 0, 3],\n [-2, 2, 3, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, -4, -4],\n [-3, -4, -1, 3],\n [-1, -1, 4, -2],\n [-4, -4, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1193", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 0, 2],\n [-1, 2, 0, 3],\n [0, 0, 1, 2],\n [2, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "701", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, -2, -2],\n [-4, -1, -4, 2],\n [-3, -3, 0, 0],\n [-4, -4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3444", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, 4, -1],\n [-1, -4, -3, 1],\n [-4, -1, 1, -2],\n [4, -2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4206", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 0, 2],\n [2, -3, 2, 0],\n [0, 2, -4, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4306", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, 2, 1],\n [-4, 1, 0, 2],\n [2, 0, 1, 2],\n [1, 2, 2, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -3, 2, -2],\n [2, -1, -1, -2],\n [0, -3, 2, 3],\n [-3, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2850", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 0, 3, 2],\n [3, 4, -1, -2],\n [3, -2, -2, -4],\n [-3, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, 3, -2],\n [-1, -4, -3, -4],\n [1, 0, 3, -1],\n [-1, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -4, 3],\n [-4, 0, 4, -3],\n [4, 3, 0, -4],\n [0, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, 0, 3],\n [2, -1, 0, 2],\n [0, 0, -1, 0],\n [3, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -2, -1],\n [1, -4, 4, -2],\n [-4, -4, -4, 3],\n [3, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15437", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 4, 0],\n [-2, -4, 2, 2],\n [4, 2, -3, 1],\n [0, 2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21784", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 4, 0],\n [-4, -4, 3, 4],\n [-1, -4, -4, 2],\n [-2, -3, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "947", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, 4, 3],\n [-1, 1, 4, 0],\n [-4, 0, 1, 2],\n [0, 0, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -4, -1, -4],\n [2, -4, 2, 3],\n [-1, 0, 1, -1],\n [-2, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 4, -3, 4],\n [4, -1, 3, 0],\n [0, 0, -1, 2],\n [-4, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1436", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -4, 1],\n [0, 2, -2, 2],\n [-4, -2, -3, 1],\n [1, 2, 1, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -1, 0],\n [-2, 3, -1, -2],\n [-1, -1, -4, 0],\n [0, -2, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, -1, 0, 4],\n [-3, 4, 1, -4],\n [-4, -4, -1, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -3, 1],\n [-4, 2, -1, -1],\n [1, 4, 0, 1],\n [3, 3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, 0, -2],\n [-3, 2, 1, 1],\n [0, 1, 0, 4],\n [-2, 1, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1034", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -4, -4],\n [1, 3, -1, 0],\n [-4, -4, 0, -1],\n [-2, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1270", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, -2, 0],\n [-1, -1, 2, 0],\n [-2, 2, 2, 2],\n [0, 0, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "624", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -1, 0, -3],\n [-1, 1, -1, 0],\n [0, -1, 4, 0],\n [-3, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2508", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 1, 4],\n [0, 2, 2, 1],\n [1, 2, -3, 0],\n [4, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5238", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 0, -4],\n [1, -3, -2, 0],\n [0, -2, -3, 0],\n [-4, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1178", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-1, 3, 4, -1],\n [0, 3, 3, -2],\n [0, 3, 0, 3],\n [2, 2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 2, 0],\n [-4, 4, -4, -3],\n [-1, 3, -4, 1],\n [0, -4, -1, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 3, 0],\n [0, -2, -1, -2],\n [3, -1, -1, -1],\n [0, -2, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 4, -3],\n [2, -2, 1, 0],\n [4, 1, -3, -2],\n [-3, 0, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11522", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -1, -4],\n [-2, -4, -3, -4],\n [-3, 1, 4, 2],\n [2, 4, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3030", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, 0, 0],\n [-2, -2, 2, -2],\n [0, 2, 4, 2],\n [0, -2, 2, 4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -4, -2, -2],\n [1, 3, 1, 4],\n [1, -3, 4, 0],\n [-4, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3187", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 3, 1],\n [4, 0, -3, -3],\n [3, -4, 4, 0],\n [0, 0, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1444", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, 0],\n [-2, 4, 0, 0],\n [0, 0, -3, 0],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "460", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 0, 4],\n [-1, 1, 0, -4],\n [0, 0, 0, -2],\n [4, -4, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1653", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[0, 0, 1, -1],\n [0, -2, 2, 2],\n [1, 2, 2, 2],\n [-1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, 1, -3],\n [3, 1, -3, 0],\n [2, -2, -2, -4],\n [1, -2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3908", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[0, 0, 3, 0],\n [0, 2, 0, 1],\n [3, 0, -1, 3],\n [0, 1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[1, 0, 1, 4],\n [0, -1, -4, 2],\n [1, -4, 4, 1],\n [4, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -3, 3],\n [1, 3, 4, -3],\n [4, 0, -3, -2],\n [-2, -3, -4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-2, 0, 0, 0],\n [0, 0, 0, 2],\n [0, 0, -2, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "656", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, 0, 4, -1],\n [0, -3, -2, 4],\n [4, -2, -2, 0],\n [-1, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "733", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, 1, 1],\n [-3, 3, -2, -4],\n [2, 3, -4, 4],\n [-1, 0, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, 4, 4],\n [2, -1, 0, 0],\n [-2, 1, 3, -3],\n [2, -2, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7903", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -3, 3],\n [2, 1, 2, 0],\n [-3, 2, -3, 1],\n [3, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 4, -1, -3],\n [-4, 3, 4, 3],\n [-4, 0, 4, -4],\n [-3, -3, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1512", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[2, 1, 4, -2],\n [1, 4, 0, -2],\n [4, 0, 1, 0],\n [-2, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "513", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0, 3],\n [2, 1, 4, -3],\n [-3, -1, -1, 1],\n [1, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "727", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, 0, -2],\n [1, 4, 0, -2],\n [0, 0, -1, 0],\n [-2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "487", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, -3, -3],\n [-1, 4, -1, 0],\n [-1, -3, -3, -3],\n [3, 0, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -4, 3, 3],\n [3, -3, -2, 4],\n [4, 2, -4, 0],\n [-4, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2540", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[4, -2, 1, 2],\n [-2, -3, 0, -2],\n [1, 0, -4, -1],\n [2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "574", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, 2, 1],\n [-1, 1, 0, -3],\n [3, 0, 3, 0],\n [-3, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, 0, -2, -2],\n [0, 1, 0, -2],\n [-2, 0, -1, 0],\n [-2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 4, 2],\n [-2, 0, 0, 1],\n [4, 0, 3, 0],\n [2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9011", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 3, 0, 0],\n [2, -1, -4, 4],\n [-3, 3, 0, 0],\n [-2, 3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1068", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 0, 2],\n [-1, 4, 0, 0],\n [0, 0, 0, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2041", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, -1, -4, 3],\n [1, 2, 3, 0],\n [4, -2, -3, 4],\n [2, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-4, 1, 1, 0],\n [1, -1, -2, -3],\n [1, -2, -2, -2],\n [0, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 2, 0],\n [2, 4, 4, 3],\n [2, 4, 0, 0],\n [0, 3, 0, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, 0, -4],\n [-1, 1, -2, 4],\n [4, -3, 0, 3],\n [0, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4505", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, -1, 3],\n [-3, -2, 1, 4],\n [1, 3, 3, 1],\n [-1, 2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, 4, -2],\n [1, -4, 1, -1],\n [-3, 1, 0, 1],\n [-3, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, 2, 0],\n [-3, -1, -2, -3],\n [-1, 4, 2, -1],\n [-1, 2, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -1, -1, -4],\n [-1, 4, -2, -2],\n [-1, -2, -1, 2],\n [-4, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1327", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 0, 4],\n [-3, 3, -1, 2],\n [0, -1, 1, 2],\n [4, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "967", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-2, 2, 2, 0],\n [2, -2, -3, -1],\n [2, -3, 3, 0],\n [0, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 0, -2],\n [1, 2, -1, -2],\n [0, -1, 4, -3],\n [-2, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "582", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[1, 0, 4, -2],\n [0, -4, 0, -4],\n [3, -4, 0, -1],\n [1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, 0, -2],\n [1, -2, 2, 2],\n [0, 2, -4, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3925", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 2, -2],\n [2, -1, 0, 0],\n [2, 0, -3, 0],\n [-2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "509", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, -1, -2],\n [-2, -1, 2, 0],\n [-1, 2, 4, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 4, 2, 0],\n [4, 4, 2, -3],\n [2, 2, -1, 0],\n [0, -3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18196", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 0, 2],\n [-2, 2, -2, -2],\n [0, -2, -1, 0],\n [2, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "466", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, -1],\n [2, -4, -2, 2],\n [0, -2, -4, -2],\n [-1, 2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2081", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-1, -2, 2, -2],\n [-2, -3, -4, 2],\n [2, -4, -2, -3],\n [-2, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, -3, 1],\n [-2, 1, 4, -4],\n [-3, -1, 2, -3],\n [1, 1, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2082", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, -3, 0],\n [2, 2, -3, 2],\n [0, 0, 0, -2],\n [4, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-788", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 3, -1, 0],\n [-3, -4, -1, -3],\n [1, -3, 2, 3],\n [-4, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 3, 0],\n [0, -1, 0, -1],\n [3, 0, -3, -4],\n [0, -1, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2450", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -3, 2],\n [0, -4, -3, -3],\n [3, 3, 2, -1],\n [0, -4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2403", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-3, 1, -1, 4],\n [3, -1, 2, 0],\n [4, -3, 2, 1],\n [4, -1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -3, 4],\n [3, 4, 4, 0],\n [-1, -3, 0, -2],\n [3, 0, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "707", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, 2, -2],\n [-1, -3, 1, 0],\n [2, 1, -4, 1],\n [-2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "747", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -4, 1, -1],\n [-3, 0, 0, -3],\n [-4, -1, -4, 3],\n [-4, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1933", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 3, 4, -3],\n [4, 0, 1, 0],\n [-2, 3, -1, 3],\n [-3, -4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-997", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -1, 4, -4],\n [0, -4, 4, -2],\n [-4, -1, 3, -1],\n [3, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "431", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 0, -2],\n [0, 1, -3, 0],\n [0, -3, 4, -2],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 4, 0],\n [-3, 0, 1, 0],\n [3, 2, 4, 1],\n [-1, -3, 1, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 1, 0],\n [0, -2, -1, -2],\n [1, -1, -4, -2],\n [0, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3388", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -3, 1, 1],\n [-1, 4, 1, 4],\n [-1, 4, 3, 3],\n [0, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4819", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-1, -2, -3, 4],\n [-2, -4, 0, 0],\n [-1, -4, -4, 0],\n [1, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1614", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, -4, -2],\n [3, -1, -2, -2],\n [3, 0, -2, 4],\n [-1, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-4, -2, 2, -2],\n [-2, 3, -2, -2],\n [2, -2, -2, -2],\n [-2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "394", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, -4, -4],\n [-1, 3, 4, 0],\n [-1, -3, -2, 1],\n [-1, -3, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3091", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-4, -2, 4, -1],\n [-2, 1, 1, 4],\n [4, 1, -4, 1],\n [-1, 4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-617", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -1, -1],\n [0, 1, 0, -1],\n [-1, 0, 3, -2],\n [-1, -1, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1408", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, -2, 0],\n [1, -3, 0, -2],\n [-2, 0, 0, 0],\n [0, -2, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, 4],\n [2, -1, -2, -2],\n [0, -2, 1, 2],\n [4, -2, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 1, 3],\n [0, 4, 2, -4],\n [1, 2, -4, -1],\n [3, -4, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1608", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, -2, -2],\n [-2, 2, 0, -2],\n [-2, 0, 2, 1],\n [-2, -2, 1, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-534", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, 1, 2],\n [-1, 1, 2, -3],\n [4, -2, -3, -2],\n [4, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, -3, 2, 0],\n [0, 2, -4, 0],\n [0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, -2, 0],\n [-1, 2, 0, -2],\n [-2, 0, 0, -1],\n [0, -2, -1, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, -2, 2],\n [3, -3, -1, -4],\n [-2, -1, -3, -2],\n [2, -4, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9098", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -2, -3],\n [-2, 2, 0, 3],\n [-2, 0, 4, 2],\n [-3, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1621", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 2, -2],\n [-1, -4, -4, 3],\n [2, -4, 1, -2],\n [-2, 3, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, -4, 2, 1],\n [-4, -2, -2, -2],\n [2, -2, -3, -1],\n [1, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, -1, -2],\n [0, -1, 2, 2],\n [-1, 2, 3, -2],\n [-2, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -3, -2, 2],\n [0, 0, 3, 1],\n [2, 1, 4, -1],\n [0, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-3, 0, 2, 2],\n [0, 4, -2, -2],\n [2, -2, 1, 2],\n [2, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1018", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 0, -2],\n [0, -1, 2, 0],\n [0, -3, -3, -3],\n [-4, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1011", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 0, -4],\n [-3, -2, 2, -1],\n [0, 2, 4, -4],\n [-4, -1, -4, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1005", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 3, 2, -4],\n [-3, 2, 3, -3],\n [-1, 3, 2, 2],\n [2, -4, -4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2336", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[0, 0, -1, 4],\n [0, 3, -4, 0],\n [-1, -4, -4, 0],\n [4, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -4, -1],\n [3, 1, -3, -4],\n [0, 3, -4, 4],\n [0, -4, 0, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 0, 0],\n [2, 3, 0, -2],\n [0, 0, -4, -2],\n [0, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 3, -2],\n [2, -4, 2, -2],\n [-1, -4, -4, 1],\n [-2, 1, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-219", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 1, 2],\n [-2, -2, -1, -3],\n [3, 1, -4, 1],\n [3, -3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 0, -3],\n [-2, -4, -2, -2],\n [0, -2, 3, 0],\n [-3, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3762", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -4, -4, 0],\n [-4, 4, -2, 0],\n [-4, -2, 0, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1851", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, 2, -4],\n [-4, -3, -2, -3],\n [-4, 4, -3, 4],\n [0, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1557", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, 0, 2],\n [2, -4, 0, -2],\n [0, 0, -2, 1],\n [2, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1459", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, -2, 1],\n [-1, 4, 2, 3],\n [-2, 2, -3, 3],\n [1, 3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8875", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[1, 1, -1, 0],\n [2, 0, -2, -3],\n [-2, -1, -4, 2],\n [3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, -2, 0],\n [3, 0, 2, 2],\n [-2, 2, 3, 0],\n [0, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, 2, 0],\n [0, 4, -2, 2],\n [2, -2, -2, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1040", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, -4, -2],\n [-2, -3, -3, 0],\n [-4, -3, -3, 1],\n [-2, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -3, 0],\n [-1, -3, 3, 0],\n [-1, 2, 2, -4],\n [2, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1487", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, -4, 1],\n [3, -3, -2, 4],\n [3, 3, 1, 1],\n [0, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1656", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 3, 3],\n [-3, 0, -2, -2],\n [0, -2, 0, 1],\n [-2, 3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1021", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 2, 0],\n [1, -4, -2, -4],\n [2, -2, -2, -1],\n [0, -4, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 2, 0],\n [1, 1, 0, 2],\n [2, 0, 4, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 0],\n [0, 0, 0, 2],\n [2, 0, 3, 2],\n [0, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1591", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, -2, 0, 2],\n [-2, 2, 0, 0],\n [0, 0, -4, 3],\n [2, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 1, 2, 1],\n [-2, -1, 0, 3],\n [-1, 4, 0, 4],\n [-2, -1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2862", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 0, 0],\n [-2, 1, -2, -2],\n [0, -2, -1, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3855", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 0, 2],\n [3, 3, 2, -3],\n [0, 2, -2, 4],\n [2, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, -2, 0],\n [0, 3, 2, 0],\n [-2, 2, 3, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1303", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -1, -3],\n [1, -1, -1, 0],\n [2, 0, -4, 3],\n [4, -4, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "745", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, 0, 3],\n [3, 1, -4, -3],\n [-3, 1, 0, -3],\n [4, -1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "964", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 4, -2],\n [1, 1, -4, -4],\n [-3, 1, 2, -3],\n [-3, 3, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4685", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 4, -4],\n [0, -4, -3, 3],\n [-3, 4, 2, 3],\n [0, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1133", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, -4, 4],\n [-4, 3, 1, -1],\n [3, 2, -3, -3],\n [3, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2695", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, 2, 0],\n [-2, -2, -1, -2],\n [3, 0, -3, -1],\n [-1, 4, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, -4, 0],\n [-1, -3, 4, -2],\n [-4, 4, -2, 3],\n [0, -2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 1, 2],\n [3, 0, 0, -3],\n [-4, 3, -2, -3],\n [-4, -3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-4, 4, -2, 3],\n [-1, 2, 3, 2],\n [1, -4, -1, 4],\n [-3, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-668", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 2, 0],\n [-3, 1, -2, -1],\n [2, -2, -1, -2],\n [0, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[4, 3, 1, 4],\n [3, 4, 0, -3],\n [1, 0, 1, 0],\n [4, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 4, -4],\n [-2, -1, -3, 0],\n [-3, 2, -4, -1],\n [0, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1102", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, 0, -2, 3],\n [0, 3, 0, 1],\n [-2, 0, -4, 1],\n [3, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "875", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, 4, 4],\n [-2, -2, 2, -2],\n [4, 1, -2, 0],\n [1, 1, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 4, 0, 0],\n [0, 4, -1, -4],\n [-2, -3, -3, 1],\n [-2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4247", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 0, 0, 0],\n [0, -1, 0, -2],\n [0, 0, 0, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, -3, 2, 0],\n [-3, 3, -2, -2],\n [2, -2, -4, 3],\n [0, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-440", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, -2, 1],\n [-3, 3, -3, 1],\n [-2, 1, 0, 2],\n [-1, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 0, 1, -4],\n [-3, 4, -4, -2],\n [2, 1, -2, -1],\n [-2, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 0, 3],\n [1, -4, 0, -1],\n [0, 0, -2, -1],\n [3, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3956", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -3, -1, 2],\n [0, -4, 1, 0],\n [2, -4, 1, 3],\n [-4, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3196", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 1, 3],\n [-4, 2, -3, 3],\n [3, -2, -2, -1],\n [3, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1461", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[1, 2, 0, -4],\n [2, -3, 0, -2],\n [0, 0, 0, -3],\n [-4, -2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, 1, -3],\n [-1, -3, 3, 0],\n [0, -1, -1, 3],\n [-4, 3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "270", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 2, -4],\n [-2, -3, 1, -2],\n [2, 1, -2, 2],\n [-4, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2185", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -4, 1, 0],\n [4, 0, 3, 1],\n [1, 4, -4, 3],\n [4, 1, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, -3, -4],\n [4, 4, 1, 0],\n [-3, 1, -2, 3],\n [-4, 0, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, -2, 3],\n [-3, -2, -3, -2],\n [-4, -4, -1, -4],\n [-2, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7280", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 2, 2],\n [2, 3, 2, 0],\n [2, 2, -2, 4],\n [2, 0, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7654", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, -2],\n [0, 3, -2, 1],\n [0, -2, 2, 3],\n [-2, 1, 3, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, 0, 0],\n [4, -1, -2, -1],\n [0, -2, 4, 0],\n [0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2, 2],\n [-1, -3, -1, 0],\n [-3, -4, 2, 0],\n [3, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2034", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, 1],\n [2, 1, -2, 0],\n [0, -2, 2, 0],\n [1, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 4, -4],\n [3, -3, 1, -1],\n [-2, 1, -4, 2],\n [-1, 4, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-755", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-1, -4, 1, -4],\n [3, -4, -1, -2],\n [-4, -4, -1, 1],\n [4, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1240", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, 0, -2],\n [-4, 0, 0, 2],\n [0, 0, -1, 1],\n [-2, 2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-560", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 2, 0],\n [2, 1, -3, 0],\n [2, -3, -2, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3522", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, 2, -1, 1],\n [2, 0, 2, 1],\n [-1, 2, 3, 2],\n [1, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, -4, 0],\n [3, -3, -1, 1],\n [-4, -1, -3, -3],\n [0, 1, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1143", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-3, 0, 1, 0],\n [0, 4, 0, 1],\n [1, 0, -2, 0],\n [0, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, -1, 3],\n [4, 2, -4, -4],\n [-2, -2, 2, 0],\n [4, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "218", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -1, 3, -1],\n [3, 3, -4, 0],\n [3, -2, -2, -4],\n [1, -3, 1, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[3, -1, 2, 2],\n [-1, -4, -2, -2],\n [2, -2, -2, 0],\n [2, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "645", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, -3, 1, 3],\n [-3, 2, 3, -3],\n [0, -2, 2, -2],\n [-1, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, 0, -1, -2],\n [0, -1, 0, -2],\n [-1, 0, 2, 0],\n [-2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, 0, -2],\n [-3, 1, 0, 4],\n [0, 0, 0, 0],\n [-2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, -4, 3],\n [1, 0, -2, 1],\n [2, -1, 1, -4],\n [-4, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6583", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -1, 0],\n [2, 3, 2, 1],\n [-1, 2, 4, 1],\n [0, 1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4097", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 1, -1],\n [3, -4, -2, -2],\n [1, -2, -3, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-462", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, 0, 3],\n [1, 3, 0, 0],\n [0, 0, -3, -2],\n [3, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2915", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 4, -2],\n [-2, 1, 1, -3],\n [-3, 2, -3, 1],\n [0, 1, -1, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 4],\n [0, -2, -1, 0],\n [0, -1, 3, 2],\n [4, 0, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9027", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -3, -2],\n [4, -4, -4, 1],\n [-3, 2, 4, 3],\n [-1, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "788", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, -2, 0, 1],\n [-2, 1, 1, 2],\n [0, 1, -2, 0],\n [1, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-4, 0, 0, 0],\n [0, -3, 2, 0],\n [0, 2, 2, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 3, 3, -2],\n [2, -4, 3, 2],\n [-2, 1, -3, 3],\n [-4, -3, 4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5450", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 4, -3],\n [2, -1, 0, 2],\n [4, 0, -3, 1],\n [-3, 2, 1, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2267", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 2, -1],\n [2, -4, 0, -2],\n [2, 0, 3, -2],\n [-1, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3686", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 3, -1],\n [3, 4, 4, 0],\n [3, 1, 1, -2],\n [0, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, -1, 3, 3],\n [-3, 3, -3, -4],\n [3, 0, 0, 1],\n [-1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 0, 2],\n [0, 3, 0, 0],\n [0, 0, -1, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -4, -1, 2],\n [-3, -2, -4, -3],\n [3, -2, 0, -4],\n [-3, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-320", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-1, 2, -3, 4],\n [2, 3, 3, -4],\n [-3, 3, -2, -2],\n [4, -4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2, -2],\n [-2, -4, 0, -3],\n [2, 0, -2, 0],\n [-2, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1161", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 0],\n [0, 1, 0, 4],\n [0, 0, -4, 2],\n [0, 4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "721", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0, 2],\n [-2, 2, 2, 0],\n [0, 2, -1, 1],\n [2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 0, 3, 4],\n [3, 1, -3, 0],\n [2, -4, 0, 4],\n [0, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[4, 2, 1, -1],\n [2, 0, -2, 2],\n [1, -2, -3, 0],\n [-1, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 4, 1, 1],\n [1, -2, -3, 3],\n [-3, 3, 4, 2],\n [4, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "613", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, -2, 2],\n [2, 0, 2, 2],\n [-2, 2, -4, 1],\n [2, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "540", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-2, 0, 0, -3],\n [-4, -4, -3, 1],\n [2, 0, -2, -4],\n [-4, 1, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "909", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, -1, 0],\n [-1, 1, -1, 0],\n [-1, -1, -4, 0],\n [0, 0, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "349", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, -2, -2, 2],\n [-2, 2, 2, -2],\n [-2, 2, -1, 0],\n [2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 0, 1],\n [2, -2, -2, 3],\n [0, -2, 3, 2],\n [1, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2523", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, 0, 0, 0],\n [0, -2, 0, 4],\n [0, 0, 4, 2],\n [0, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1616", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -3, -2, -1],\n [-3, -2, -4, 0],\n [-2, -4, 0, 1],\n [-1, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1127", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, -1, -2, -3],\n [-2, 4, 0, 1],\n [2, 1, -4, 4],\n [3, 3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-2, 0, 2, -2],\n [0, 4, 0, -4],\n [2, 0, 2, -2],\n [-2, -4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-688", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 1, 4],\n [-2, -3, 2, 0],\n [1, 2, 4, 0],\n [4, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1074", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -3, 4, 3],\n [-3, -1, 3, -2],\n [-2, -2, 3, 1],\n [-4, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4608", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -4, 0, 0],\n [-4, -2, -4, -4],\n [-3, 2, 2, 2],\n [-1, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-4, 4, 3, 2],\n [1, -3, 3, -4],\n [-1, 1, 0, 0],\n [-3, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, 2, -1, 4],\n [-2, 1, 2, 3],\n [2, 3, 4, -3],\n [3, -4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 2, -2],\n [-2, 1, 1, 0],\n [1, 1, 1, -3],\n [3, -3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -4, -4],\n [-1, -2, 0, 0],\n [2, 2, 2, 3],\n [0, 2, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-535", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, 4, 3],\n [4, -4, 0, -2],\n [2, -4, 3, 0],\n [1, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2540", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 4, -2, -3],\n [-4, 3, 2, 2],\n [2, 2, 2, -4],\n [-1, 4, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4541", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, 0, -1, 3],\n [4, -4, -1, -2],\n [1, 2, 3, 3],\n [4, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[3, -2, -1, 0],\n [-2, 1, -2, 0],\n [-1, -2, 2, 3],\n [0, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, -1, 2],\n [0, -3, 0, 0],\n [-1, 0, 2, 2],\n [2, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1996", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, 2, -1],\n [2, 1, -1, 3],\n [-3, 1, -2, -3],\n [3, -4, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1212", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 1, -2, -4],\n [1, 0, 1, -2],\n [-2, 1, 2, -3],\n [-4, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, 4, 0],\n [-2, 0, 0, -3],\n [2, 0, -1, -1],\n [-1, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 4, 4],\n [0, 2, 0, -1],\n [4, 0, 1, -2],\n [4, -1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1052", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-3, 1, 2, 4],\n [1, -2, 4, 2],\n [2, 4, 3, 1],\n [4, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, -3],\n [-2, 3, -4, -2],\n [0, -4, 4, 0],\n [-3, -2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-571", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 4, 0, 0],\n [4, -4, 1, 2],\n [0, 1, 1, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "544", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 0, 2],\n [0, 1, 4, 0],\n [0, 4, -1, -2],\n [2, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1294", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, 0, -1],\n [3, 1, -1, 1],\n [0, -1, 3, 2],\n [-1, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1068", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, 0, -2, -1],\n [0, 2, 1, 2],\n [-2, 1, 2, 2],\n [-1, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "589", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 0, -2],\n [4, 2, 2, -4],\n [-1, -3, -4, -2],\n [-4, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7486", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, 0],\n [2, 3, 2, 2],\n [1, 2, 1, 0],\n [0, 2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2631", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, -4, 4],\n [2, 3, 0, -4],\n [3, -2, 4, -1],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "409", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, -2, 0],\n [-2, 2, 1, -2],\n [4, 0, 0, 0],\n [1, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1464", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -2, 0],\n [3, -1, -2, -1],\n [-2, -2, 0, 0],\n [0, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3906", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -2, 0],\n [-2, 2, 2, -4],\n [3, -4, -3, 2],\n [3, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1412", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 1, 3],\n [2, -4, 0, 0],\n [1, 0, -2, -2],\n [3, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "513", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, 2, -4, -2],\n [4, -3, 3, 3],\n [-2, 3, 2, -3],\n [1, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1058", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -2, 3],\n [0, -4, 0, -2],\n [-2, 0, -1, -2],\n [3, -2, -2, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-1, 2, 4, 4],\n [-3, 3, -1, 4],\n [-2, 2, 2, 2],\n [-3, -3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[1, 0, 0, 1],\n [0, -3, 2, -4],\n [0, 2, -3, 2],\n [1, -4, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-216", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 0, 2],\n [-2, -3, -3, 0],\n [0, 1, -3, 0],\n [-4, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -1, 2, -4],\n [0, 2, -4, 0],\n [3, -1, 2, 1],\n [-4, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[0, -4, -4, -3],\n [-4, 1, 4, 4],\n [3, 1, 4, -4],\n [-4, 4, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "668", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[4, -3, 0, -4],\n [-2, 3, 1, -2],\n [-4, -3, 0, -3],\n [1, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "692", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, 2, 2, -2],\n [2, 0, 2, 3],\n [2, 2, -3, 0],\n [-2, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -2, 0],\n [2, -3, 4, -3],\n [-2, 4, 1, 0],\n [0, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 1, -1],\n [-2, 4, 4, 2],\n [1, 4, -1, 0],\n [-1, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "928", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, -4, 0],\n [1, -3, 2, 0],\n [-4, 2, -2, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9209", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, 0, 3],\n [-2, 3, -2, -4],\n [0, -2, -3, 1],\n [3, -4, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1568", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 3, -2],\n [0, 0, -4, 0],\n [3, -4, 0, 0],\n [-2, 0, 0, 4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-456", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -3, -1],\n [-4, -3, 0, 3],\n [1, 3, -2, 3],\n [4, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1859", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, -4, 4, 1],\n [4, 1, -4, 4],\n [-3, -1, -4, -2],\n [-3, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-568", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, -1, 0, -2],\n [-1, -4, 1, 0],\n [0, 1, 1, 2],\n [-2, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, -1, 4],\n [0, -4, 1, 3],\n [-1, 1, -4, 3],\n [4, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18195", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 3, -4],\n [3, 3, 1, 3],\n [-4, -1, -3, 2],\n [2, -4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 4, -4, -4],\n [-4, -4, 3, 1],\n [-1, -2, 3, -2],\n [0, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-655", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 1, -2],\n [0, -1, 0, 0],\n [1, 0, -1, -2],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-352", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[4, 1, 3, 4],\n [1, 0, 0, 0],\n [3, 0, -3, -1],\n [4, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 3, 3],\n [1, -3, -2, 3],\n [0, 0, 4, 3],\n [-3, 2, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-549", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, -1, 2, -4],\n [-1, 3, -2, 0],\n [2, -2, 0, 3],\n [-4, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 1, -4, -1],\n [-3, -3, 0, 1],\n [-2, 3, 1, 0],\n [-1, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -3, -2],\n [4, -3, 1, -4],\n [4, -2, 0, -3],\n [-1, -1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "642", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 4, 0],\n [2, -3, 2, -3],\n [2, -2, 1, 1],\n [0, 4, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, 0, 0],\n [2, 1, -1, 0],\n [0, -1, 4, -2],\n [0, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1633", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -2, -2],\n [3, 0, 3, -1],\n [-4, 2, 4, -1],\n [-2, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, -2, 0],\n [1, 3, -4, 3],\n [4, 2, 0, -3],\n [2, -1, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "676", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 0, -2],\n [0, 0, -2, 0],\n [0, -2, 2, -2],\n [-2, 0, -2, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, -2, 0],\n [2, 3, 3, 2],\n [-2, 3, -4, -2],\n [0, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 1, 0, -3],\n [0, 1, -2, 0],\n [4, 1, 0, 0],\n [-2, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 3, -4],\n [2, 2, 1, -4],\n [2, 1, 4, -2],\n [4, 3, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2394", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 3, 2],\n [0, -2, -3, 0],\n [3, -4, -4, 4],\n [-4, 2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "838", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -2, -2],\n [2, 3, -4, 2],\n [2, -3, 1, -3],\n [4, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "819", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -2, -4],\n [2, 2, 0, 2],\n [4, 3, -3, 4],\n [4, 3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7194", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 4, 1],\n [-2, -4, -2, -4],\n [4, -2, 0, -3],\n [1, -4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1617", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 1, -2],\n [2, -4, -2, 1],\n [1, -2, -3, 2],\n [-2, 1, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1138", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, -2, -4],\n [-2, -1, 2, -3],\n [-2, -1, 3, 2],\n [4, -4, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 2, 0],\n [-2, 3, -4, -3],\n [2, -4, 1, -1],\n [0, -3, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1521", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, 1, 1, -4],\n [-2, -3, -2, 3],\n [3, 4, -2, -2],\n [2, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, 0, -4],\n [0, -4, 0, 0],\n [0, 0, -1, -2],\n [-4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -1, -1, -4],\n [-1, -2, 0, 3],\n [-1, 0, 0, 0],\n [-4, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "637", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 4, -1, 1],\n [2, -1, 3, -3],\n [-2, 2, 3, 0],\n [2, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "443", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[3, -4, 3, 1],\n [-2, 3, 4, -2],\n [-4, 1, 2, 4],\n [1, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 0, 0],\n [1, 1, -1, -3],\n [0, -1, 0, 1],\n [0, -3, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 1],\n [-2, -4, 2, 2],\n [3, 1, 4, -3],\n [1, -1, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -2, -2],\n [3, 3, 0, 2],\n [-2, 0, -4, 0],\n [-2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4200", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, -1, -1],\n [-4, -3, 4, 1],\n [1, 4, 3, -3],\n [3, 2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, -2, 0],\n [0, -1, 2, 2],\n [-2, 2, 1, -4],\n [0, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "966", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 1, 0],\n [-2, 2, -2, -1],\n [1, -2, 4, 0],\n [0, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "854", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, -2, 3, 3],\n [-2, 0, -1, 3],\n [-2, 3, 3, 1],\n [1, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 0, 0],\n [2, 4, 0, -1],\n [0, 0, -3, -1],\n [0, -1, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "485", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-4, -2, 2, -1],\n [-2, -3, 0, 0],\n [2, 0, 1, 0],\n [-1, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "882", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, 0, 1],\n [2, 1, 0, -4],\n [0, 0, 3, 1],\n [1, -4, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "740", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 3, -2, 1],\n [4, 4, 1, -4],\n [3, 4, 0, 1],\n [-2, -4, 0, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1884", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 3, -4, 1],\n [2, 2, -4, -1],\n [-3, 2, 1, 1],\n [2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "852", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 0],\n [0, 0, 0, -3],\n [2, 0, -4, 2],\n [0, -3, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4178", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, -1],\n [-2, 3, -1, -2],\n [-1, -4, -2, 2],\n [2, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "592", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [2, 0, 0, 3],\n [0, 0, -1, 2],\n [0, 3, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4159", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 3, 1, -4],\n [2, 4, 2, 0],\n [1, 3, 1, 1],\n [2, -4, -1, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, 0, 1],\n [-4, 4, 2, -2],\n [0, 2, 4, 3],\n [1, -2, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11143", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, 1, -2],\n [2, 2, 2, 2],\n [1, 2, -4, 0],\n [-2, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1543", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 1, -1],\n [-2, 0, 0, -2],\n [1, 0, 1, 2],\n [-1, -2, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, 0, 2],\n [-2, 2, 0, 0],\n [0, 0, 0, -2],\n [2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "658", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 0],\n [0, 3, -2, -2],\n [2, -2, 3, 2],\n [0, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "362", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 3, 4, 2],\n [-3, 1, 4, -3],\n [1, 1, -1, 3],\n [3, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2834", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, -1, -1],\n [2, 4, 4, 4],\n [2, 1, 1, 4],\n [4, -4, -2, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-506", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-3, -3, 0, -3],\n [-3, -2, 1, 4],\n [0, 1, 2, -4],\n [-3, 4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 2, -2],\n [1, 2, -1, 0],\n [2, -1, -3, 0],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[2, 0, -3, 4],\n [0, 4, 0, -4],\n [-3, 0, 0, -1],\n [-1, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[2, -1, 3, -1],\n [0, -4, 2, 2],\n [-2, -2, -4, 1],\n [3, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, -2, 2],\n [4, 2, 1, 2],\n [-2, 1, -4, -2],\n [2, 2, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2154", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 4, 0, -3],\n [4, 2, -4, -3],\n [-2, -1, -3, 3],\n [-4, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6895", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 1, 0, -3],\n [1, 2, -1, 0],\n [0, -1, 2, 0],\n [-3, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3062", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[0, -1, 2, 0],\n [-1, 2, 2, -2],\n [2, 2, 0, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, 3, -2],\n [1, 4, 4, -4],\n [2, 2, -2, -3],\n [-3, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3842", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, -2, 1, -1],\n [-2, 3, -3, -3],\n [1, -3, 0, -2],\n [-1, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-4, -1, -3, 3],\n [3, -4, -4, 0],\n [-3, -3, 4, -3],\n [-1, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -3, -1, 2],\n [3, 2, 4, 1],\n [2, -4, 2, 4],\n [-4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "750", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -1, 0],\n [2, 2, -1, 2],\n [-1, -1, 4, 0],\n [0, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2732", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, 1, 0],\n [0, -1, -2, 1],\n [1, 4, 2, 3],\n [-2, -2, 2, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, -2, 4],\n [0, -3, 3, 2],\n [-2, 4, 1, 3],\n [4, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, -4],\n [-2, 3, -2, 2],\n [0, -2, -2, 2],\n [-4, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2483", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -3, -4],\n [2, 4, 1, 0],\n [3, 1, 1, 0],\n [-3, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[1, 0, 0, -2],\n [0, -2, -2, -4],\n [0, -2, -4, 2],\n [-2, -4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 3, 4, 0],\n [3, -2, -1, 4],\n [4, -1, -4, 2],\n [0, 4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, -3, -1],\n [0, 1, 4, -1],\n [-4, -3, 0, -2],\n [-2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-760", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, -4, 4],\n [1, 3, 1, 3],\n [2, -1, 0, 4],\n [3, 2, -2, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, -4, 3],\n [-1, -3, 3, 4],\n [-2, 0, 0, 4],\n [3, 2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2978", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, -1, -3],\n [-3, -1, -1, 2],\n [4, 1, 2, 4],\n [-1, 4, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7280", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[0, 1, 0, 1],\n [1, -4, 2, -1],\n [0, 2, -2, 0],\n [1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[2, 0, 2, 1],\n [0, -2, -2, -2],\n [2, -2, -3, 2],\n [1, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, 0, -2],\n [0, -3, -1, 2],\n [-1, 0, 0, 4],\n [-3, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4964", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 1, 2],\n [1, 3, 1, 0],\n [1, 1, 0, 2],\n [2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -4, 2],\n [2, -4, 4, -2],\n [-1, -2, 1, -3],\n [-4, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1613", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, -4, 0],\n [-1, 1, 0, 0],\n [-4, 0, 4, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 4, 0],\n [4, -2, -2, 4],\n [2, 3, 3, 1],\n [3, -2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "707", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[0, 0, 0, 2],\n [0, -3, 0, -1],\n [0, 0, 3, 2],\n [2, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, 4, -1],\n [-4, 2, -1, -3],\n [-2, 4, 0, 2],\n [4, 4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4409", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[0, 0, 0, 0],\n [0, -3, 2, 2],\n [0, 2, -3, -4],\n [0, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, 0, 1],\n [-3, -1, -3, 4],\n [0, -3, 1, -2],\n [1, 4, -2, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, -1, 0],\n [2, 1, 0, -2],\n [-2, -3, 0, -4],\n [1, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "365", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-3, -1, 4, 1],\n [0, -1, -2, -2],\n [4, 1, -3, 3],\n [-1, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0, 0],\n [-2, 4, 0, -1],\n [0, 0, -2, -1],\n [0, -1, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, -2, -2],\n [1, 1, 2, 1],\n [-2, 2, -3, 1],\n [-2, 1, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-273", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 2, 2],\n [-2, 4, 0, 3],\n [2, 0, -1, 4],\n [2, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3083", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -2, -4],\n [0, 4, 1, -4],\n [-4, 2, -1, -2],\n [-1, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1527", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -4, -2],\n [4, 4, -4, -4],\n [-4, 3, -1, 3],\n [-2, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23715", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[4, 4, -1, 0],\n [0, -2, -1, 4],\n [-3, 0, 1, 0],\n [1, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, -4, 2],\n [-4, 1, -2, 3],\n [0, -4, 4, -2],\n [-1, -3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1096", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 2],\n [2, 0, 1, 0],\n [0, 1, -2, -2],\n [2, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "603", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 0, 0],\n [2, 4, 0, -2],\n [0, 0, -3, -4],\n [0, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "812", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[1, 4, -2, -2],\n [3, 0, 4, 0],\n [-4, -2, 3, 1],\n [4, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[2, -4, 2, 0],\n [-4, 3, -3, -2],\n [2, -3, 1, 4],\n [0, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 2, 0],\n [0, 2, 2, -2],\n [2, 2, -4, 4],\n [0, -2, 4, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "336", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -1, 0],\n [0, -2, 2, -2],\n [-1, 2, 1, 2],\n [0, -2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-3, 0, 2, 0],\n [0, -4, -4, 1],\n [2, -4, 3, 0],\n [0, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 3, 2],\n [-2, 4, -1, 4],\n [3, -1, 0, 0],\n [2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7046", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -1, 2],\n [-1, 4, 0, 0],\n [-2, -2, 1, -4],\n [-4, -2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "422", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-3, -2, 1, 0],\n [-2, 3, 4, 0],\n [1, 4, -1, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, -3, -1],\n [-2, -1, 3, -3],\n [1, -2, -4, -3],\n [4, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3208", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[4, -4, 1, 4],\n [-4, -2, 1, -1],\n [1, 1, 1, 0],\n [4, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 3, -4, -2],\n [-2, 4, -1, -1],\n [0, -4, 0, -1],\n [-3, 2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, 1, 4],\n [-3, 3, 1, 4],\n [3, 0, 2, -3],\n [-4, 3, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 1, -2, 3],\n [-1, 2, 0, 4],\n [2, -4, -1, -3],\n [2, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -4, 4],\n [2, 2, -1, -3],\n [-2, 4, 1, 1],\n [-4, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "871", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[2, -2, 1, 1],\n [0, -4, -2, 2],\n [-1, -1, 2, 1],\n [-2, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[3, 1, 3, -3],\n [4, 0, -1, -4],\n [0, 4, 1, 1],\n [-1, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "692", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, -1, 2, -4],\n [4, 0, 4, 0],\n [0, -3, 1, -2],\n [0, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -4, -2, 0],\n [1, 1, -2, 2],\n [-3, 1, 3, 3],\n [4, -4, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -3, -2],\n [1, -1, 2, -1],\n [-3, 2, -2, 0],\n [-2, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -3],\n [-4, 3, -4, 3],\n [-4, -1, 1, -1],\n [3, 1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, -1, 1],\n [-4, -3, 4, -3],\n [0, -3, -2, -1],\n [1, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1977", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, -2, -4],\n [2, 0, -2, 2],\n [-2, -2, 3, 1],\n [-4, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3262", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -2, 3],\n [0, -2, 2, 1],\n [3, -4, 4, 0],\n [2, -2, -3, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, -2, 3],\n [0, -1, -4, -4],\n [4, 4, -2, 1],\n [3, -4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1478", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -3, 3],\n [-1, 2, 1, -3],\n [-1, 4, -3, -2],\n [-1, 1, -4, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, 0, 0],\n [-2, -4, 1, -2],\n [0, 1, 3, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "950", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, 0, -2],\n [-1, -3, -1, -1],\n [0, -1, -1, 0],\n [-2, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 2, -4],\n [-2, 3, 1, 0],\n [2, 1, -2, 2],\n [-4, 0, 2, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "520", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, -2],\n [0, 1, 1, 0],\n [2, 1, -1, -2],\n [-2, 0, -2, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "681", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, -2, 1, 0],\n [-2, -3, 0, -1],\n [1, 0, 1, 2],\n [0, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 2, 1, 0],\n [-4, 2, 2, -4],\n [3, -4, -1, -1],\n [-4, 0, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2924", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, -2, 2, -2],\n [2, -2, 0, 2],\n [-2, -4, -4, -1],\n [-2, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -3, -1],\n [-2, -2, 1, -4],\n [3, -4, 2, -4],\n [-4, 0, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1052", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, -3, -2],\n [-3, -4, 1, -1],\n [-2, 3, 0, 3],\n [-3, 3, 1, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, -2, 0],\n [2, 2, -2, 1],\n [-2, -2, -3, 1],\n [0, 1, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-235", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 2, 2, 3],\n [2, -2, 2, 2],\n [2, 2, -4, 0],\n [3, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, 2],\n [0, 2, -3, -3],\n [2, -3, 0, 2],\n [2, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "901", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -2, 0],\n [-4, -3, -2, -1],\n [-2, -2, 0, 0],\n [0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1645", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -3, -2],\n [4, -2, 4, 2],\n [-1, -3, 1, -2],\n [2, 4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, -3, -1],\n [-2, 2, -1, -4],\n [-1, 1, -4, -4],\n [0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 4, 0],\n [0, -2, -2, 0],\n [4, -2, -4, 4],\n [0, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2198", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 3, -4, 2],\n [3, 3, 4, 0],\n [-4, 4, -4, 3],\n [2, 0, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38358", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, 4, 0],\n [-2, -4, -3, -2],\n [4, 4, -4, -2],\n [-1, 2, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "559", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, 0],\n [3, 2, -2, -4],\n [0, -3, 1, 2],\n [-1, 3, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[1, 1, 4, 0],\n [1, 1, 2, -3],\n [-4, 3, -3, 0],\n [3, 1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, -4, -3],\n [-3, -2, 3, 0],\n [4, 1, -1, -4],\n [1, -2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4555", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 2, 1],\n [0, -2, -4, -2],\n [2, -4, 1, -2],\n [1, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1135", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, -2],\n [2, 4, 0, -3],\n [-2, 0, 4, -1],\n [-2, -3, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8823", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[1, -2, 3, 0],\n [-2, -3, 4, 0],\n [3, 4, 3, -2],\n [0, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-242", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, 2],\n [0, 2, -3, 0],\n [0, -3, 0, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "748", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, 2, 2],\n [-1, -1, -1, 0],\n [2, -1, 2, -2],\n [2, 0, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "676", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 1, 3],\n [-2, -4, -1, 2],\n [1, -1, -2, 2],\n [3, 2, 2, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 0, -3],\n [2, -4, 0, 0],\n [0, 0, 0, 0],\n [-3, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1258", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 2],\n [0, -4, -1, 3],\n [0, -1, -3, 0],\n [2, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "681", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 1, -3, 3],\n [4, -2, -2, -1],\n [-2, 3, 4, -4],\n [-1, 1, -3, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-386", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[4, 2, 1, 2],\n [2, 4, 0, 0],\n [1, 0, -3, 0],\n [2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "746", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -4, -2, -3],\n [4, -4, 3, -1],\n [4, 4, -4, 3],\n [1, 4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2463", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, 2, 2],\n [3, 1, 0, 2],\n [2, 0, -2, -1],\n [2, 2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1200", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, -1, -4],\n [-1, 1, 0, -4],\n [-2, -3, -1, -2],\n [-3, 4, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2846", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, 0, 2],\n [1, 4, 0, 0],\n [0, 0, -2, -2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1978", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -2, 2],\n [2, -4, 4, 0],\n [-2, 4, 0, -2],\n [2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[2, 2, 0, -3],\n [-3, -4, -4, -1],\n [2, 3, 4, -1],\n [2, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 1, 3],\n [4, 0, -4, -1],\n [4, 1, 2, 4],\n [2, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3440", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -1, -4, 2],\n [2, 0, -4, -3],\n [3, 4, -3, 3],\n [-2, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1046", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, -4, 4],\n [-2, -2, 2, -4],\n [4, 3, 0, -2],\n [1, -2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5046", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, -4, 1],\n [-1, 3, -1, 3],\n [-1, 4, 2, -3],\n [-4, 0, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5346", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-4, -2, -4, -3],\n [2, 0, 3, 1],\n [-3, 4, -1, 4],\n [-4, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1278", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -4, -4],\n [1, -4, 1, 0],\n [3, -1, 1, 3],\n [3, 3, 1, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 4, 0, 3],\n [-2, 1, 4, -1],\n [1, -1, 2, 1],\n [-3, 1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2885", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[0, -4, 0, 1],\n [-4, 4, 1, -4],\n [0, 1, 1, -4],\n [1, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1009", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -1, -2, 0],\n [-1, -3, -3, -1],\n [-2, -3, -1, -1],\n [0, -1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1141", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 2, 0, -2],\n [2, 1, 0, 0],\n [0, 0, -3, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 4],\n [3, 4, 3, -2],\n [1, 1, 3, 2],\n [-4, 1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "842", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, 3],\n [-2, -1, -2, -1],\n [0, -2, -1, 0],\n [3, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1923", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -4, -4, -2],\n [2, -2, -1, -1],\n [0, 1, -4, 0],\n [2, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2421", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, 4, 4, -1],\n [-3, 3, -3, 2],\n [0, -3, 3, -1],\n [0, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -1, 1],\n [0, 2, -4, -3],\n [-2, 0, 2, 0],\n [-3, 2, 2, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 4, -4],\n [-2, 2, -3, 2],\n [4, -3, -4, 0],\n [-4, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 0, -4],\n [0, -1, -2, -2],\n [0, -2, -1, -2],\n [-4, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1913", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, -1],\n [-2, -2, 0, 0],\n [0, 0, 1, -2],\n [-1, 0, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2462", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 2],\n [2, 1, 0, 0],\n [0, 0, -1, -4],\n [2, 0, -4, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[1, 1, 0, 2],\n [1, 4, -2, 4],\n [0, -2, -4, 0],\n [2, 4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 1],\n [0, -3, 2, -1],\n [2, 2, 0, 0],\n [1, -1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[2, -4, 3, 0],\n [-4, 0, 0, -4],\n [3, 0, 0, 4],\n [0, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2753", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, 0, -4],\n [2, -2, 2, 3],\n [-4, 3, 2, 1],\n [0, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "340", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, -2, -1],\n [-2, 2, 1, -2],\n [-3, -1, 4, 3],\n [3, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 1, 4],\n [1, -3, -1, -3],\n [-3, -3, 3, -4],\n [0, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-381", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -4, -2],\n [-1, 0, 0, 0],\n [-4, 0, -3, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3300", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[1, 3, -1, 0],\n [3, 2, -4, 1],\n [3, -1, 0, 3],\n [2, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -1, 1, -1],\n [-1, 0, 0, 0],\n [1, 0, -2, 0],\n [-1, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "429", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -4, -3, -1],\n [-4, 3, 0, 3],\n [-3, 0, -3, 2],\n [-1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1484", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[0, -2, 1, 0],\n [0, 4, -4, 4],\n [-1, -4, -3, -1],\n [0, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-4, 4, -2, 1],\n [4, -1, 0, 0],\n [-2, 0, 0, 1],\n [1, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "543", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, -4, 2, 2],\n [-4, -3, -2, 4],\n [1, 4, 2, 2],\n [3, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, -1],\n [0, 4, -1, 0],\n [0, -1, -1, 0],\n [-1, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "470", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, 3, -2],\n [-4, 4, 2, 3],\n [1, 0, -1, 2],\n [1, -4, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, -4, -1],\n [-2, -1, 1, -2],\n [-4, 1, 1, -3],\n [-1, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1436", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 1, -1, 0],\n [1, -2, 4, 3],\n [-1, 4, -4, 2],\n [0, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7866", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 4, 1],\n [0, -1, -1, 0],\n [4, -1, -1, 0],\n [1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1642", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, -1, -2],\n [1, 2, 1, 0],\n [-1, 1, -3, 1],\n [-2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, -3],\n [0, 3, -3, -2],\n [3, 3, -4, 4],\n [-1, -4, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4765", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, 1, 3],\n [-2, -2, 0, -3],\n [2, -4, 3, -2],\n [1, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "687", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, 2, 2],\n [1, 1, -2, -3],\n [0, 1, -1, -2],\n [-3, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 3, -4],\n [2, 3, -3, 4],\n [0, -4, -2, 4],\n [-1, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1304", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -4, -2, 1],\n [-4, 3, -1, -2],\n [0, -2, 2, 3],\n [1, -1, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10426", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[3, -2, 1, 4],\n [-2, -4, -2, 2],\n [1, -2, 0, -1],\n [4, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "576", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[3, -2, -2, -1],\n [-2, -3, 2, 2],\n [-2, 2, -2, 2],\n [-1, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 2, 4],\n [0, -4, 0, -1],\n [2, 0, -3, 0],\n [4, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 0, -3],\n [-2, 3, 2, 2],\n [0, 2, 2, -1],\n [-3, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4714", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[1, -4, -2, -2],\n [-3, 2, 0, -3],\n [1, -4, -4, -4],\n [1, 0, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, -3, 0],\n [1, 1, 4, 0],\n [0, -4, 0, 0],\n [-4, -3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, 0, 2, 0],\n [0, -2, -2, 4],\n [2, -2, -4, 1],\n [0, 4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -4, 0],\n [0, 2, -4, -1],\n [2, 0, 1, 0],\n [-4, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1470", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, 1, -1, -2],\n [1, 1, -2, 1],\n [-1, -2, -1, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-4, 0, 0, 0],\n [0, 1, 1, 0],\n [0, 1, -4, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 1, -1],\n [2, -4, 1, -3],\n [0, -3, -4, -1],\n [-1, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "768", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, -4, -2],\n [3, -4, -1, 2],\n [1, -1, 2, 3],\n [-2, -1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, -2, 0, 2],\n [-2, 2, 2, 0],\n [0, 2, -2, 3],\n [2, 0, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, 1, -2, 0],\n [1, 4, 2, 0],\n [-2, 2, 2, 0],\n [0, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-4, -3, 1, -2],\n [-3, 1, 1, 0],\n [1, 1, -1, 1],\n [-2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, 0, 0],\n [-1, 0, 2, 2],\n [0, 2, -1, 0],\n [0, 2, 0, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "484", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -4, 2],\n [3, 1, -2, 0],\n [1, -4, -2, -4],\n [-4, -2, 4, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 0],\n [2, -2, -2, -2],\n [-2, -2, 0, -2],\n [0, -2, -2, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[2, -3, 0, 2],\n [-3, -3, -2, -4],\n [0, -2, -3, 1],\n [2, -4, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "750", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, -4, -2],\n [2, 1, -2, 0],\n [1, -3, -3, 2],\n [3, 3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-4, -2, -1, 0],\n [-2, 4, 0, -2],\n [-1, 0, 1, -2],\n [0, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, -1, 2],\n [0, -3, 3, 3],\n [4, 1, 2, 2],\n [-3, 3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "374", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, 2, 0],\n [-4, 2, 3, 2],\n [-4, -1, 4, 1],\n [0, -1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 0, 1],\n [1, 4, 4, -1],\n [0, 4, -1, 0],\n [1, -1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "671", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[1, 3, 3, -1],\n [-4, -4, -4, 1],\n [4, 4, 1, 2],\n [0, 3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 4, 2, 1],\n [0, 4, 0, 1],\n [-2, -3, 3, 2],\n [-2, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 2, 1],\n [-3, 0, -2, -2],\n [2, -2, 0, -2],\n [1, -2, -2, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 4, -3, -2],\n [4, -3, -2, 0],\n [1, 4, 0, -1],\n [3, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "999", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, -2, 2],\n [-3, -2, 3, 0],\n [-2, 3, 2, 1],\n [2, 0, 1, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, -3, -1, 3],\n [-4, 2, 1, 4],\n [1, -2, 4, 0],\n [-4, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, -1, -1],\n [-2, 4, 0, 3],\n [0, -1, 0, -4],\n [-3, 3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16696", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[4, 2, 1, -2],\n [-4, -1, -2, -3],\n [-1, -4, -1, 4],\n [-1, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 2, 1],\n [-3, 0, 3, 3],\n [2, -3, 1, 2],\n [-4, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 3, 3],\n [-3, -2, -3, -1],\n [0, 0, 1, -2],\n [-2, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[4, -4, -2, 2],\n [-4, -2, -1, -2],\n [-2, -1, -1, 0],\n [2, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-850", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, -2, 0],\n [-2, 2, 1, 0],\n [-2, 1, 3, -1],\n [0, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1630", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -4, -3],\n [1, 0, 3, 2],\n [-2, -3, -2, -2],\n [0, -2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "359", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, -3, 4],\n [-4, -4, -3, 2],\n [0, 3, -1, 4],\n [0, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, 0, -1],\n [3, -4, -1, -1],\n [0, -1, 2, 2],\n [-1, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6217", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[4, 4, 3, 2],\n [-4, -2, -4, -4],\n [0, -2, -1, 0],\n [-4, 3, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 0, 0],\n [-3, -4, -1, 0],\n [0, -1, 1, -3],\n [0, 0, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-341", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 1, -3],\n [2, -2, 0, 2],\n [0, 1, -3, 2],\n [3, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-163", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[1, 0, 2, 2],\n [2, 0, 3, 4],\n [-4, -3, 4, 2],\n [-3, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "436", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 4, 0, 1],\n [0, 3, 4, -4],\n [-4, 2, -1, -3],\n [2, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6960", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 0, 0],\n [1, -2, -1, 0],\n [0, -1, 0, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[4, 3, 1, 0],\n [2, -1, -3, 0],\n [-1, -3, -3, 3],\n [2, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[2, -4, 2, -2],\n [3, 4, -3, 3],\n [4, 0, 0, -2],\n [2, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-416", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[0, 4, -4, 0],\n [-1, -2, -3, -2],\n [-4, -1, 1, -3],\n [0, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-450", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 0, -2],\n [0, -1, 0, 2],\n [0, 0, -2, -2],\n [-2, 2, -2, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-808", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -4, 2],\n [-3, 2, 4, 1],\n [3, 2, 2, 2],\n [0, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2967", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 0, -2],\n [4, -3, 4, 0],\n [1, 1, -4, 3],\n [2, -4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5576", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 3, 2, 1],\n [2, 0, -4, 4],\n [3, -4, -2, 2],\n [-2, 4, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13773", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 4, 1],\n [2, 0, 2, 4],\n [4, -2, -1, 1],\n [-4, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5634", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[3, 1, 0, 2],\n [1, -1, 0, -2],\n [0, 0, 4, -2],\n [2, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[4, 2, 2, 1],\n [3, 2, -3, 1],\n [1, 4, 0, -2],\n [2, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-4, 1, -3, -2],\n [2, -2, 2, -2],\n [3, 4, -3, 4],\n [-3, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-3, 1, -2, -1],\n [1, 3, 0, 0],\n [-2, 0, -2, 2],\n [-1, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0, -1],\n [1, 4, 1, 4],\n [-3, -4, -1, 3],\n [0, -1, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "438", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, 3, -2],\n [0, -4, -1, -2],\n [3, -1, -1, -2],\n [-2, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2015", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 2, 0],\n [-3, -3, 0, 0],\n [2, 0, 4, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "892", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, -4, 4],\n [-1, 1, 0, -4],\n [-1, 1, -1, 1],\n [0, 1, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "382", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, -4, -4, 1],\n [-2, -3, 4, -1],\n [4, -2, 4, 4],\n [-2, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 1, 0],\n [0, -4, 4, 2],\n [1, 4, 3, 1],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "901", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, -1, 0],\n [-2, 3, -1, 1],\n [-1, -1, 4, 2],\n [0, 1, 2, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, 4, -3, -3],\n [3, 3, 4, -4],\n [4, -3, 0, 4],\n [2, -1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-1, 0, -3, -2],\n [0, -4, -1, -2],\n [-3, -1, -2, -2],\n [-2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "543", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, 0, 2],\n [-1, 3, -2, 4],\n [0, -2, 2, 1],\n [2, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8534", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -3, -4],\n [4, -2, 1, 2],\n [-2, 2, -2, 0],\n [4, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "752", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, -4, 2],\n [-3, 0, -3, -2],\n [-4, 2, 0, 0],\n [3, -4, -3, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "360", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -1, 2],\n [0, 3, 2, 2],\n [-1, 2, 1, 0],\n [2, 2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, -1, 0, 0],\n [-1, -1, 0, -2],\n [0, 0, -2, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, 1, 4, -4],\n [4, 1, 1, -3],\n [-1, 1, -1, -1],\n [4, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 0, 2],\n [3, -1, 0, -2],\n [0, 0, 0, -4],\n [2, -2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1348", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 2, 1],\n [1, -3, -2, 0],\n [2, -2, 3, 0],\n [1, 0, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3178", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, 2, 0, 3],\n [2, -3, 0, 4],\n [0, 0, -4, -2],\n [3, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 1, -2],\n [2, -2, -3, -1],\n [1, -3, 0, 0],\n [-2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1310", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 3, -2, 3],\n [-2, -2, 3, -3],\n [-2, -4, -4, 1],\n [4, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "610", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 2, 2],\n [0, 4, -3, 2],\n [2, -3, -1, 1],\n [2, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[2, 0, 0, -2],\n [0, 1, -1, 0],\n [0, -1, -2, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, 0, -4, 2],\n [1, -2, 3, -3],\n [1, -1, 0, 1],\n [4, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, -4, -1, -1],\n [0, -1, -4, -4],\n [0, -1, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1052", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -4, 2],\n [-3, -2, 1, -1],\n [0, 3, -1, 3],\n [1, 1, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -4, 1, -2],\n [1, -3, 2, -4],\n [1, -4, 0, -2],\n [-3, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "586", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, -2, 1, 0],\n [-2, 3, 4, 0],\n [1, 4, -3, 1],\n [0, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 4, -3, 2],\n [4, 1, 3, -2],\n [-3, 3, 1, 2],\n [2, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3006", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 1, -3],\n [-1, -2, -3, 4],\n [-2, -3, 4, -3],\n [1, -3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "692", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 2, 0, 0],\n [2, -1, 0, 0],\n [0, 0, -4, -2],\n [0, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -4, 2, 2],\n [1, 3, 3, 4],\n [-1, -1, 1, 1],\n [2, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12276", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, -3, -4],\n [-1, 4, -1, 1],\n [-4, 3, 1, 4],\n [-4, 3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "424", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -2, 0],\n [0, 1, 0, 2],\n [-2, 0, -2, 0],\n [0, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-4, 2, 2, 0],\n [2, 1, 3, 0],\n [2, 3, 1, 2],\n [0, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, -1, -2],\n [-2, -3, 1, -1],\n [-1, 0, -1, 4],\n [-4, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, 0, 2, -2],\n [0, 2, 4, 4],\n [2, 4, -1, -2],\n [-2, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-1, -4, 2, -2],\n [-1, -4, 0, -3],\n [-4, -3, 4, 3],\n [-3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -3, 0],\n [3, 0, -3, -2],\n [-1, -4, -4, 1],\n [-3, 2, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "742", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, 1, -4],\n [4, 3, 3, 1],\n [-4, 3, 3, 0],\n [0, 4, -1, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -2, -2, 2],\n [-2, -4, -1, -1],\n [-2, -1, 4, 2],\n [2, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, 1, 0],\n [3, 4, -4, 1],\n [1, -4, -4, 0],\n [0, 1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9326", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[1, 0, -3, -3],\n [-4, -4, 2, 0],\n [3, -3, 4, -3],\n [1, 4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-668", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 3, 0, -3],\n [4, 1, -3, 1],\n [4, -1, 4, 2],\n [3, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "277", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, 4, -2],\n [-3, 3, 4, -4],\n [3, -1, -1, -3],\n [2, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "638", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, -2, -4],\n [-1, -2, 2, 2],\n [-2, 2, 2, 0],\n [-4, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4790", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 2, 0],\n [-3, 0, -3, 1],\n [1, 2, -4, 0],\n [1, -2, 3, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, 3, 4],\n [-3, 4, 0, -4],\n [-4, -1, -4, 2],\n [1, 3, 2, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 2, -3],\n [0, -3, -2, 3],\n [4, -1, -1, -3],\n [-3, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12812", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, 0],\n [0, 3, -2, -3],\n [-2, -2, -2, -2],\n [0, -3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-361", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-3, 1, 3, 1],\n [-3, -2, 4, -2],\n [2, -1, 0, 1],\n [1, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, -2, -3],\n [0, 0, -2, 0],\n [-2, -2, 3, 0],\n [-3, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6777", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 4, 2, 0],\n [-3, -4, 3, -3],\n [-3, 0, -1, 4],\n [-2, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-290", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -1, 4],\n [4, 2, 0, 2],\n [-2, 4, -2, 2],\n [1, 0, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "714", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -4, -1, 2],\n [-2, 0, 3, -3],\n [-2, -3, 4, -3],\n [0, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -4, -2],\n [-4, -1, -3, 2],\n [-3, 4, -1, -4],\n [3, 2, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, -3, 2],\n [-1, 3, 3, 4],\n [2, -4, 1, 0],\n [3, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3544", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, 3, -4],\n [2, -3, 2, 4],\n [-2, -3, 1, -3],\n [-4, -3, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1551", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, -2, 1, -4],\n [-2, -4, 0, -2],\n [1, 0, 4, 2],\n [-4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -1, -1],\n [0, -4, 2, 1],\n [-1, 2, 4, -2],\n [-1, 1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "588", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 0, 2],\n [1, -3, 2, 0],\n [0, 2, -4, 0],\n [2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-2, -3, -2, -4],\n [-3, -4, -1, 0],\n [-2, -1, 3, 1],\n [-4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, -1, 2, 1],\n [2, 3, -1, -4],\n [4, 1, -2, 0],\n [-4, -4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-348", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, -4, -4, 4],\n [-1, -1, 2, -4],\n [-2, -2, -2, -4],\n [3, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, 0, 2, 0],\n [0, 0, 0, 2],\n [2, 0, 0, 0],\n [0, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -2, -1, -3],\n [-3, 4, -1, 4],\n [4, -2, -2, 4],\n [1, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 2, -2],\n [2, -4, -1, 2],\n [2, -1, -3, 0],\n [-2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1343", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 2, -2],\n [0, 1, 0, -2],\n [2, 0, 0, 3],\n [-2, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1366", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -3, 1, 2],\n [-3, 0, -3, -2],\n [1, -3, -2, 0],\n [2, -2, 0, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-732", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[1, 1, 0, -2],\n [1, 4, -3, 2],\n [0, -3, 0, 2],\n [-2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, -1, 1],\n [2, -3, 0, 0],\n [-1, 0, 2, 2],\n [1, 0, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 1, 2, 3],\n [1, -1, -2, 0],\n [-4, 3, 1, 2],\n [-2, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1227", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, 0, -2],\n [0, 0, -2, -2],\n [0, -2, 2, -1],\n [-2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 4, -4],\n [-1, -3, 2, -4],\n [1, 0, 3, -3],\n [-1, -4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-382", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 2, -4],\n [4, -1, 3, 2],\n [-1, -3, 3, -2],\n [-1, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1291", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 4],\n [0, 3, 1, -1],\n [0, 1, -2, 0],\n [4, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2099", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 1, -4, 1],\n [0, -1, -2, 1],\n [0, 2, -2, 3],\n [1, -1, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2056", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -4, 3],\n [4, -1, -3, -1],\n [2, -3, 0, 0],\n [-4, 1, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 1, 2, -4],\n [-3, -4, -4, 0],\n [-1, -3, 3, -4],\n [-4, -2, -1, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "701", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 0, 0],\n [1, -4, -4, 0],\n [0, -4, -4, -2],\n [0, 0, -2, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "456", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, -4],\n [1, 4, -2, 4],\n [-3, -3, 1, -2],\n [-3, 2, -4, -4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, -2, 0],\n [0, -4, -2, -4],\n [-2, -2, 0, -1],\n [0, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8338", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, 4, -3],\n [-1, -2, 1, -4],\n [-1, -3, 3, 4],\n [-2, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1321", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[4, 1, -3, -2],\n [-1, -3, -4, 3],\n [-3, -4, 1, 3],\n [-3, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-686", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, 0, 4, 2],\n [-4, 1, 4, -1],\n [3, 3, 3, -4],\n [0, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, 1, 2],\n [4, -2, 0, 4],\n [-4, -4, -1, 1],\n [-4, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, -1, 2],\n [4, -1, -2, -2],\n [-1, -2, 0, -2],\n [2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1491", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, -1, 1],\n [-2, -2, 3, -3],\n [-4, -3, 1, 0],\n [-3, -1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, 0, -2],\n [-3, -1, -1, 0],\n [0, -1, 0, -2],\n [-2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4731", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, -2, 0],\n [2, 0, -1, -2],\n [-3, 1, 2, -1],\n [4, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, 4, -4, -3],\n [3, 1, -2, -4],\n [3, -3, 2, 0],\n [-4, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-1, 2, 0, -2],\n [2, 4, 0, 0],\n [0, 0, 2, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, 2, -4],\n [-4, 1, -2, 4],\n [-2, -4, -1, 4],\n [-4, -4, 0, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0, -2],\n [-2, 2, 2, 4],\n [0, 2, -1, 2],\n [-2, 4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 4, 0],\n [2, 1, 0, -4],\n [4, 0, -4, 2],\n [0, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8818", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[4, 0, 0, -4],\n [0, 2, 0, -2],\n [0, 0, 1, 2],\n [-4, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 1, -1],\n [2, 0, 0, -2],\n [1, 0, 4, 2],\n [-1, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 3, -1],\n [-2, -4, 0, 1],\n [3, 0, 3, 2],\n [-1, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2266", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 1, 0],\n [2, 2, 0, 0],\n [1, 0, 3, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1297", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, -4, -2],\n [0, 2, 0, 2],\n [-4, 0, 3, 1],\n [-2, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "856", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, -2, -3, -2],\n [0, -3, 4, 3],\n [2, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3685", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, 3, -3, -2],\n [-3, -3, 4, -3],\n [1, -2, -2, 0],\n [-2, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-2, -2, 4, -2],\n [-2, -2, 2, 2],\n [4, 2, -3, 3],\n [-2, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, -4, -2],\n [-1, -3, 0, 4],\n [-3, -1, 0, -1],\n [0, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-243", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, 0, -2],\n [3, 1, 0, 2],\n [0, 0, -2, 3],\n [-2, 2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 1, -4],\n [0, -4, -2, 3],\n [2, 3, 1, -1],\n [-3, -2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2954", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -2, 1],\n [-3, 2, -3, -1],\n [3, 1, 3, -1],\n [-3, 2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 2, 2],\n [0, 4, 2, 0],\n [2, 2, 1, 0],\n [2, 0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "286", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, -2, -3, -3],\n [3, -4, 2, 4],\n [0, -4, 0, 0],\n [4, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, 3, 0],\n [-1, -4, 3, 3],\n [4, -1, 2, -3],\n [-4, 3, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5909", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[1, -1, -2, 0],\n [-1, 0, 0, 2],\n [-2, 0, 2, -3],\n [0, 2, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 1, -1],\n [0, 4, -1, 0],\n [1, -1, -1, -3],\n [-1, 0, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, -1, -2],\n [-4, 2, -1, 4],\n [-3, 2, -3, 4],\n [-4, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -4, 3, 3],\n [2, 0, 1, 4],\n [4, 1, 3, -3],\n [3, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1146", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 4, -2],\n [4, 1, -2, 3],\n [4, 2, 2, 0],\n [1, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7652", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, -2, -4],\n [0, 1, 3, 0],\n [0, -3, 1, -1],\n [-1, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-386", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 3, -2],\n [4, -2, -4, -4],\n [4, 4, -1, 0],\n [-2, -2, -1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[1, -2, -1, 4],\n [0, -4, 2, 4],\n [2, 2, 4, -1],\n [-1, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, 0],\n [0, 4, 3, -2],\n [0, 3, 3, 2],\n [0, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3630", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 3, 3],\n [0, -1, 1, 0],\n [3, 1, 0, 0],\n [3, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "782", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, -1, -2, -2],\n [-4, 4, -1, 2],\n [1, 4, -2, -2],\n [-4, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, 3, 2],\n [3, 2, 1, -2],\n [-1, -3, 1, 1],\n [1, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -1, 3],\n [1, -3, -3, 1],\n [-4, -4, 2, 1],\n [4, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -2, 0],\n [0, -1, 2, 0],\n [-2, 2, -1, 0],\n [0, 0, 0, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, -4, -4],\n [4, 2, -3, 2],\n [-3, -2, -1, 3],\n [-3, 0, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15770", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 4, 0],\n [3, -4, 0, 1],\n [-2, -3, -3, -1],\n [3, -3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1338", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -4, -4],\n [4, 0, -4, 3],\n [3, -3, 0, 0],\n [-3, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5034", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[1, -1, 0, 1],\n [-4, 4, 0, -1],\n [2, 0, -2, 2],\n [-3, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[1, 2, -1, 2],\n [2, 2, -1, 1],\n [-1, -1, 1, 2],\n [2, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, 1, 2],\n [-2, 0, -3, -1],\n [0, -4, -3, -1],\n [-3, -3, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-291", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 4, -2],\n [2, -4, 0, -2],\n [4, 0, -1, -1],\n [-2, -2, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8034", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -1, -1, 0],\n [-1, -4, 2, 4],\n [-1, 2, 1, 0],\n [0, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -4, 1, -1],\n [-4, 0, -3, 2],\n [-4, 1, 1, -3],\n [-4, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5567", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -4, 0],\n [-3, -2, -1, -1],\n [1, -2, 4, -1],\n [2, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, -2, 2],\n [-2, -4, 1, 2],\n [-2, 1, -3, -2],\n [2, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -3, -1],\n [-2, 2, 3, 0],\n [-1, -4, 4, -4],\n [-1, -4, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "374", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-2, -2, -2, -2],\n [-2, 1, -2, 2],\n [-2, -2, 3, -3],\n [-2, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, -1],\n [0, 4, 2, 2],\n [2, 3, -4, 3],\n [4, -2, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 0, -2],\n [1, 4, 0, -2],\n [0, 0, 1, 0],\n [-2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "483", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 0, 0],\n [0, 1, 2, 2],\n [0, 2, -2, 0],\n [0, 2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 1, -4, -1],\n [2, 4, -3, 0],\n [-2, 4, 4, 1],\n [-1, -3, 3, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1322", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, 2, 0],\n [4, -4, -2, 0],\n [2, -2, 3, -2],\n [0, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1178", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -4, 0],\n [2, -4, 2, 4],\n [-4, 2, -3, 2],\n [0, 4, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17710", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, -3, -3],\n [2, 0, -1, 1],\n [4, 0, -4, -2],\n [-2, -1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3916", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 1, 0, -2],\n [4, 1, 2, 0],\n [-1, 4, 0, 4],\n [4, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 1, 2],\n [4, 3, -4, -4],\n [-1, 1, -1, -4],\n [1, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 2, -4],\n [2, -4, 1, 0],\n [-2, 1, 1, -2],\n [4, 4, 3, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 1, -2],\n [3, 2, -4, -3],\n [3, 0, -2, -1],\n [3, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, 0],\n [2, 4, 1, 0],\n [0, 1, 1, 2],\n [0, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3582", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 3, 1],\n [-1, -4, 0, -2],\n [3, 0, 4, 2],\n [1, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5687", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 2],\n [-1, 0, -1, -4],\n [0, -1, -3, 2],\n [2, -4, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-264", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -4, 3, 3],\n [3, -2, -2, 1],\n [0, 2, 0, 4],\n [1, 3, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "546", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[0, 4, -2, 2],\n [4, 2, -4, 2],\n [-2, -4, -3, 0],\n [2, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-778", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, -3, 2],\n [-1, -2, -1, 2],\n [-3, -1, 2, 2],\n [2, 2, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8548", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 1, -3],\n [-1, -2, 2, 2],\n [1, 2, -2, -2],\n [-3, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3617", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, 1, -1],\n [4, 0, 3, 0],\n [0, -4, 2, -2],\n [2, 2, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-1, 1, 1, 0],\n [-1, -1, 4, -1],\n [3, 1, -2, 3],\n [3, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 1, 3],\n [4, 1, -3, -3],\n [2, 1, -4, -3],\n [-2, -2, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1048", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -4, -2, 4],\n [-2, -4, 1, -2],\n [0, -2, 4, 3],\n [-2, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-417", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0, -2],\n [1, -3, 1, 2],\n [0, 1, -3, -2],\n [-2, 2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-295", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -1, 3],\n [-4, 2, -3, 2],\n [-2, -1, 1, 3],\n [3, -1, 3, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[0, 4, 0, -2],\n [-2, -4, -2, 4],\n [-4, 1, -4, -4],\n [3, -1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "892", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -3, -3],\n [0, -2, 3, -4],\n [0, -4, -4, -1],\n [-2, 1, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1192", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 2, 3],\n [0, 4, 0, -1],\n [2, 0, 0, 2],\n [3, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "987", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 2, -2, 0],\n [2, 3, 0, -2],\n [-2, 0, -2, 1],\n [0, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "962", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -4, -2],\n [0, -2, 2, -3],\n [-4, 2, -4, -2],\n [-2, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8561", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -2, -2],\n [-2, -1, 0, 0],\n [-2, 0, -4, 4],\n [-2, 0, 4, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1328", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, 1, 0],\n [4, -3, 2, -1],\n [1, 2, 4, -2],\n [0, -1, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -3, -2, -2],\n [-3, -2, 0, 2],\n [-2, 0, 2, -2],\n [-2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5830", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 2, -3],\n [3, -4, 2, 4],\n [2, 2, 3, 2],\n [-3, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2907", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2, -4],\n [-1, -2, -3, 0],\n [-3, -2, 0, -1],\n [-2, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, -3, -2],\n [-4, 0, -1, 0],\n [-3, -1, 2, 0],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "888", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -1, 2, 2],\n [-2, 2, -1, 4],\n [0, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "934", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -2, -3],\n [-2, 4, -4, 0],\n [-2, -4, 1, 0],\n [-3, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7949", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, -1, 4],\n [3, 2, 4, 0],\n [-1, 1, 3, 0],\n [-4, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3228", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, -4, 1],\n [3, 2, 1, 3],\n [-2, -1, 1, 3],\n [-4, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "298", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 0, 0],\n [-1, 0, 0, 2],\n [0, 0, 0, 1],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, -3],\n [0, 0, 2, 0],\n [0, 2, -1, -2],\n [-3, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2607", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 0, 0],\n [0, 3, 1, -2],\n [0, 1, 1, 0],\n [0, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[4, 0, 0, -1],\n [0, 3, 0, 2],\n [0, 0, -2, 2],\n [-1, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, -1],\n [2, 2, -1, 4],\n [0, -1, -1, -2],\n [-1, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3483", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 0, 4],\n [-1, 2, 0, 2],\n [0, 0, -3, 3],\n [4, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[2, 2, -1, -2],\n [2, -2, 0, 0],\n [-1, 0, -3, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[1, 2, 0, 1],\n [1, 0, 2, -2],\n [4, 3, 1, 4],\n [4, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 2, 0],\n [1, -1, -2, -2],\n [2, -2, 2, 2],\n [0, -2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1016", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0, 2],\n [0, -1, 0, 0],\n [0, 0, 4, 0],\n [2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-2, 0, 1, -2],\n [-3, -4, 1, 2],\n [1, -3, 0, 0],\n [-1, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -1, 2],\n [-4, 4, 2, 1],\n [1, 2, -2, -4],\n [3, -2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "920", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 4, 0, -2],\n [4, 3, 1, -2],\n [0, 1, -1, 0],\n [-2, -2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4392", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -3, -3],\n [0, -2, -1, 2],\n [-3, -1, 4, 0],\n [-3, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6998", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -2, -1, -2],\n [-2, 4, 0, -4],\n [-1, 0, 0, -2],\n [-2, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "814", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, -1, 2],\n [-2, 4, 2, -2],\n [-1, 2, 3, -2],\n [2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10285", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, 3, -1],\n [-2, 1, 4, -4],\n [2, 0, 0, -3],\n [-1, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5922", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 4, 2],\n [-2, -2, -3, -4],\n [2, 1, 0, 4],\n [2, 1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-4, -4, -2, 2],\n [-4, -2, -1, 0],\n [-2, -1, 4, -2],\n [2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, -1, 3],\n [-2, 1, 0, 4],\n [-3, 0, 3, 0],\n [0, 0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-1, 2, 0, -3],\n [-3, -3, 2, 2],\n [-4, 3, -1, 4],\n [-1, -2, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, 3, -3],\n [2, 2, -1, 0],\n [0, 0, -3, 0],\n [2, 4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -3, 0],\n [-3, 4, -1, -1],\n [1, 2, -4, 0],\n [3, 2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 0, 2],\n [-4, -3, 4, -3],\n [0, 0, -4, 4],\n [-2, 1, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-575", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -1, 0],\n [2, 2, -1, 1],\n [-1, -1, 1, 2],\n [0, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, 3, 1],\n [-3, 0, 1, 3],\n [2, 2, 4, 1],\n [-1, 3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3869", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0, -1],\n [0, 2, 0, 2],\n [0, 0, 1, 0],\n [-1, 2, 0, 4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, 0],\n [0, -1, 0, 2],\n [0, 0, -1, -2],\n [0, 2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, 4, 0],\n [-1, -2, -2, -2],\n [4, -2, 1, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1019", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, -1, 3, 1],\n [0, 0, 2, 4],\n [1, -3, -2, 1],\n [-3, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[4, 2, 1, 3],\n [2, 3, 0, 2],\n [1, 0, 4, 0],\n [3, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "353", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, -3, 3],\n [-1, -1, 4, 2],\n [1, 4, -4, -1],\n [3, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2448", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, -4, -2],\n [0, -3, 3, 4],\n [3, 3, 3, -4],\n [0, -2, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 3, -4],\n [-1, -3, 2, 1],\n [2, -1, 4, 2],\n [4, -1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5386", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-3, -3, -3, -3],\n [4, -2, -4, 3],\n [-4, -2, 2, 2],\n [-1, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, 1, 1],\n [-1, 2, 0, 1],\n [-2, 2, -2, -1],\n [3, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "945", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -3, 1, 2],\n [-3, -3, 2, -1],\n [-4, 1, 3, 2],\n [3, -4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4711", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 4, 4],\n [-4, 0, 3, 3],\n [-1, 1, 3, -1],\n [4, -4, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2, -2],\n [-2, -4, 0, -2],\n [2, 0, 3, 0],\n [-2, -2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-520", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 4, 3],\n [-2, 2, 0, -1],\n [4, -3, 1, 4],\n [-2, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 3, -3],\n [-2, -1, -4, -2],\n [0, 1, 3, 1],\n [2, 0, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 2, 0],\n [-2, -3, -2, 2],\n [2, -2, 3, 1],\n [0, 2, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1047", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 2, 4],\n [-3, 1, -4, -3],\n [-4, -4, -4, -2],\n [-1, -3, -4, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-676", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, 2, 4],\n [3, 4, -3, 0],\n [-4, 1, -1, -4],\n [-4, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "812", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 4, -1],\n [-3, 0, -1, 2],\n [2, 4, 1, 2],\n [1, -2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1457", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -4, -4],\n [-2, -1, -1, 4],\n [-3, 4, -3, -1],\n [0, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7108", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[4, 3, 1, -3],\n [0, -3, 3, 0],\n [1, 3, 1, 2],\n [4, -4, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 0, 1],\n [-2, 4, -4, 0],\n [0, -4, 3, 4],\n [1, 0, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2213", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[4, 2, -2, -1],\n [2, 3, -1, -2],\n [-2, -1, -3, 0],\n [-1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, -2],\n [0, -3, 0, -2],\n [0, 0, 2, 0],\n [-2, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, -3, 4],\n [2, -3, -1, -2],\n [4, 3, 0, -2],\n [3, 3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "732", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 1, 2, 3],\n [-3, 3, -2, -4],\n [3, 3, 4, -3],\n [0, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-542", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[4, 0, 1, -4],\n [4, -1, 2, 3],\n [-1, -2, 1, -1],\n [4, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 2],\n [-2, 0, 0, -2],\n [0, 0, -4, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "642", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, -2, 0, 0],\n [-4, 0, -1, 4],\n [-1, -1, -3, 2],\n [4, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, -2, -1, 1],\n [-2, 4, 3, 4],\n [-1, 3, 1, 2],\n [1, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-3, 3, 0, 2],\n [3, -4, 2, -1],\n [0, 2, -3, 2],\n [2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1941", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -4, 1, 3],\n [-4, 4, 3, -4],\n [-3, 0, 1, -2],\n [-3, 2, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "494", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[1, -3, -3, 0],\n [-2, 0, -1, 4],\n [-3, 3, 0, -3],\n [-1, -4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -1, 3],\n [2, 0, -1, 2],\n [3, 4, 4, 4],\n [0, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3784", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 1, 1],\n [0, 2, 2, 0],\n [1, 2, -2, -2],\n [1, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1116", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, -3, 0],\n [0, -1, -2, 1],\n [-3, -1, -4, 0],\n [-2, 1, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-449", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, 0, 0],\n [0, 1, 4, -1],\n [0, 4, 4, 0],\n [0, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "768", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -3, 1],\n [3, -3, 0, -1],\n [1, -4, -2, 3],\n [4, -4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6506", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2, 2],\n [0, -3, 2, -2],\n [-2, 2, 4, 0],\n [2, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, -4, 2],\n [2, -4, 2, 0],\n [3, -1, -2, 4],\n [0, -1, -3, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 4, -3, 1],\n [4, 3, 3, 3],\n [0, -4, 3, 1],\n [-4, 3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1382", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 0],\n [0, -4, 1, 0],\n [0, 1, 0, 2],\n [0, 0, 2, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, 2, -4],\n [-4, 3, 0, -2],\n [4, 1, -4, -1],\n [-3, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "878", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, 3, -3],\n [4, 1, 1, 3],\n [-4, -1, -3, 4],\n [0, 3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "832", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -3, 3, -2],\n [1, 2, -2, 3],\n [-4, -3, 2, 2],\n [-2, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 3, -3, 2],\n [1, 0, -4, 3],\n [4, 0, -2, 2],\n [0, 3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 0, 0, -1],\n [0, -4, 0, 0],\n [0, 0, -1, 0],\n [-1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 0, -3],\n [-1, 1, 4, -1],\n [3, -1, -2, 1],\n [-4, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, 1, -2],\n [4, -2, -1, -1],\n [1, -1, -3, -1],\n [-2, -1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1207", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -2, 1],\n [4, -3, 0, 0],\n [-2, 0, -4, 0],\n [1, 0, 0, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, -4, 1],\n [-2, -2, 4, 4],\n [3, -3, 2, 2],\n [4, 4, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5618", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, 3],\n [0, 0, -1, 0],\n [0, -1, 3, 2],\n [3, 0, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, -2],\n [0, 4, 2, -1],\n [0, 2, 1, 0],\n [-2, -1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "499", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, 2, -1],\n [2, -2, 4, -4],\n [0, -2, -2, -4],\n [-1, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1969", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 1, 0],\n [0, 1, -2, 2],\n [1, -2, 2, 2],\n [0, 2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-4, 2, -2, -2],\n [2, -1, 2, 0],\n [-2, 2, -3, 1],\n [-2, 0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -3, 0],\n [0, -2, 0, 0],\n [-3, 0, -3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "680", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -3, 3],\n [-2, 0, 0, 2],\n [-3, 0, -1, -4],\n [3, 2, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 4, -3, 2],\n [-1, 4, -2, -2],\n [-3, 0, 0, -2],\n [-1, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-2, 2, -1, 0],\n [1, -2, 4, -1],\n [-4, 2, 0, -1],\n [4, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 0],\n [2, -1, 0, 2],\n [0, 0, -3, 0],\n [0, 2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "369", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, 3, 0],\n [-1, 4, -2, 1],\n [-4, 0, -2, 1],\n [-3, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-996", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -2, -2],\n [0, 4, 0, 2],\n [-2, 0, 2, -1],\n [-2, 2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "618", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -4, -2, -1],\n [-4, -1, 4, 4],\n [0, 2, 0, 4],\n [3, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4909", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 3, 1],\n [1, -1, -1, -4],\n [-2, -2, 2, -1],\n [1, 1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "201", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[0, -1, 0, 0],\n [-1, -2, 2, 1],\n [0, 2, -4, -3],\n [0, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "354", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 2, -3, 0],\n [2, 0, -2, 2],\n [-3, -2, -2, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, 2, 3, 1],\n [-4, 0, 0, 0],\n [-1, 1, 0, 3],\n [-4, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-3, 2, 3, -1],\n [1, 2, 0, -2],\n [-3, -3, -4, -2],\n [-1, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "870", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, 2],\n [0, -1, 0, 0],\n [-1, 0, -4, -2],\n [2, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1526", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, -2, 2, 2],\n [-2, -4, -2, 4],\n [2, -2, -4, -2],\n [2, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2, -2],\n [-2, -1, -2, 0],\n [2, -2, 4, -2],\n [-2, 0, -2, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, -2, -4],\n [-2, 2, 1, -2],\n [-4, -2, 3, -2],\n [3, 3, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2684", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 4, 1],\n [1, 2, 2, -2],\n [-1, 0, -3, 0],\n [-2, 2, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, 1, -1, -2],\n [1, 2, -2, 0],\n [-1, -2, 4, 2],\n [-2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, 4, -2],\n [4, 3, -3, 4],\n [3, -3, 0, 0],\n [-1, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2236", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, -2, 4],\n [1, -3, -2, -2],\n [-2, -2, -4, -3],\n [4, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17337", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 4, 4],\n [-2, -4, 2, -2],\n [4, -3, -4, 2],\n [-2, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-3, 4, -2, 4],\n [-4, 4, 1, -2],\n [3, 4, 1, 0],\n [4, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-509", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -1, 0, -3],\n [0, -1, 4, 3],\n [-4, 2, 2, -2],\n [3, -1, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2868", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, -3, 1, 2],\n [3, -2, -3, -3],\n [-3, -1, 2, 2],\n [0, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[0, -2, 2, -2],\n [-2, 3, 2, 4],\n [2, 2, -4, 4],\n [-2, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-1, 2, -1, -2],\n [2, -2, 4, -2],\n [-1, 4, 0, 0],\n [-2, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[3, -2, 2, -2],\n [-2, -1, 2, 0],\n [2, 2, 1, 0],\n [-2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, 2, -2],\n [2, 3, -3, 4],\n [2, -3, 0, -3],\n [-2, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[2, 1, 0, 1],\n [1, -3, 0, 2],\n [0, 0, 3, 0],\n [1, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 2, -4],\n [-2, 2, 0, -1],\n [2, 0, 4, 0],\n [-4, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2674", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 2, -1],\n [2, -4, 0, -2],\n [0, 0, 1, -3],\n [-2, 4, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -2, 0, -4],\n [-2, 0, 1, -4],\n [0, 1, 1, -1],\n [-4, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5436", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0, -1],\n [1, 1, 3, 0],\n [0, 3, -1, 0],\n [-1, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 1, -4],\n [-1, -4, 0, -3],\n [3, -1, -2, -2],\n [-3, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 2, 0],\n [3, -3, -1, 0],\n [3, 4, 0, -4],\n [-4, -1, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3108", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, -4, 0, 3],\n [-4, 3, 0, -2],\n [0, 0, 2, 1],\n [3, -2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-206", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 1, 2],\n [2, -3, 4, -2],\n [0, -4, 0, 0],\n [-4, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2971", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 0],\n [2, 2, 0, -2],\n [-2, 0, 2, -3],\n [0, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3394", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 4, -1],\n [1, 1, 0, 3],\n [4, -4, -2, 1],\n [-1, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3309", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, -1, -2],\n [-2, -1, 4, -4],\n [-2, 3, -2, 3],\n [4, 3, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "716", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -4, 1, 1],\n [-2, 0, 3, 4],\n [-4, 3, -1, -4],\n [2, -4, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, -4, -1],\n [-2, 4, 3, -1],\n [-1, 4, 1, -1],\n [-4, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1848", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -2, 0],\n [-1, 1, 3, 4],\n [1, 0, 3, 4],\n [2, -4, 4, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-1, -1, 0, -2],\n [-1, -3, -2, -2],\n [0, -2, 3, 0],\n [-2, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 3, 1],\n [3, 3, -1, -4],\n [-3, 0, -1, 3],\n [2, -3, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3350", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 4],\n [0, 0, -2, 0],\n [0, -2, 2, 4],\n [4, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 0, 0],\n [2, 2, -2, 2],\n [0, -2, -3, 0],\n [0, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "550", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, 0, -1],\n [2, -2, 2, 0],\n [0, 2, -4, 0],\n [-1, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3309", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, -4, 0],\n [-3, -3, 0, 3],\n [3, -4, -4, 0],\n [-3, -3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "854", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 0, 4],\n [1, -2, -2, -4],\n [0, -2, 0, -2],\n [4, -4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6577", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 3, -2, -2],\n [0, -1, 4, 4],\n [4, 0, -4, -4],\n [-2, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4739", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, -2, -4, -2],\n [-2, 4, 0, 0],\n [-4, 0, -3, -1],\n [-2, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, -3, -3],\n [-2, 1, 1, 1],\n [-4, 1, -1, 0],\n [-3, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1291", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, 0, 1],\n [2, -3, -4, 3],\n [0, 0, 1, -1],\n [3, -2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, -4, -3, 0],\n [4, 2, 1, -4],\n [-2, -2, -1, 3],\n [1, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 0, -2, 0],\n [0, 3, 2, -2],\n [-2, 2, 4, 3],\n [0, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, 3, -2],\n [-4, 0, 0, 4],\n [4, 0, 4, 4],\n [4, -2, 0, 4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2016", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, -1, -4],\n [-4, -2, 1, 4],\n [4, -1, -4, 1],\n [-3, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3159", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[3, 0, 0, 1],\n [3, 1, 1, 1],\n [-4, -3, -1, -1],\n [-2, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[1, 0, 4, -2],\n [0, -1, 0, 0],\n [4, 0, -2, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, -4, 2],\n [1, -2, -1, 0],\n [3, 3, 4, -4],\n [-1, -4, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-808", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, 2, 0],\n [4, 4, -1, 4],\n [2, -1, 1, 0],\n [0, 4, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7887", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -1, 0, -4],\n [-1, -4, 0, 1],\n [0, 0, -4, 2],\n [-4, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -2, -4],\n [0, 2, 2, -3],\n [-2, 2, -4, -4],\n [-4, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20858", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[1, 2, 0, 2],\n [2, -4, 1, 0],\n [0, 1, -4, 2],\n [2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-604", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 0, 0],\n [-2, 3, -2, -2],\n [0, -2, 3, -3],\n [0, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-536", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-1, 0, -3, -2],\n [0, -1, -2, 2],\n [-3, -2, -1, -2],\n [-2, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 1, 3],\n [-1, 3, 2, -2],\n [1, 2, -1, -2],\n [3, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[1, 2, -1, -3],\n [3, -3, 3, 0],\n [-1, -2, -2, 2],\n [-3, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, -2, 0],\n [0, 2, 0, -2],\n [-2, 0, -2, -1],\n [0, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3282", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 4, 0],\n [2, -4, 0, 1],\n [4, 0, 2, 3],\n [0, 1, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7864", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 1, 3],\n [0, -1, 0, 0],\n [1, 0, -4, -1],\n [3, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1893", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, 0, 3, -2],\n [0, -2, 2, -1],\n [3, 2, -3, 2],\n [-2, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, 4, -3, -4],\n [0, 3, 2, -4],\n [0, -2, 1, 3],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[0, 1, 0, -3],\n [0, -3, 4, 1],\n [4, -4, -1, 4],\n [3, 3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1296", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-4, 1, -1, 1],\n [-4, -1, 2, 3],\n [-1, -4, 0, 4],\n [-4, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, 2, 0, -3],\n [-4, 0, -3, -1],\n [-2, -4, 2, 3],\n [3, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[0, -1, 1, -1],\n [1, -4, -2, -1],\n [1, -4, 4, -2],\n [-2, 4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[0, 4, 1, 1],\n [-3, 3, 4, -2],\n [-4, 0, 3, 3],\n [-1, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 3, -2],\n [0, -2, 3, 2],\n [2, 0, -2, -4],\n [0, -2, 1, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, 0, 0],\n [0, -4, -2, 0],\n [-2, 3, 1, -2],\n [1, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2, 0],\n [0, 4, 2, -2],\n [2, 2, -2, 2],\n [0, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2693", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, 0, 4],\n [-1, 1, 0, 0],\n [0, 0, 4, 2],\n [4, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3758", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, -4, 0],\n [-1, 0, -4, -1],\n [3, 2, 4, -2],\n [-4, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, 2, 2],\n [4, -1, 3, -3],\n [-2, 2, 0, -2],\n [1, -2, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3380", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[1, 0, 1, 2],\n [-2, 1, -4, 0],\n [4, -3, -4, 1],\n [1, 1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 2, 0, -4],\n [-1, 4, -3, 4],\n [2, 1, 0, -2],\n [3, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1222", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 1, 4],\n [0, -2, 1, 4],\n [-4, -3, 2, -3],\n [4, 4, 2, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -3, -1],\n [1, 2, 2, -1],\n [4, -2, 2, -3],\n [0, -4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "943", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 1, 0],\n [-2, 0, 2, -2],\n [1, 2, 3, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -1, -2],\n [-1, 4, 2, -3],\n [2, -4, 3, -1],\n [0, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3498", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 0, 0],\n [1, 4, 0, 0],\n [0, 0, -1, -1],\n [0, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[4, 2, -1, -2],\n [2, 4, 0, 0],\n [-1, 0, 3, 0],\n [-2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 0],\n [0, 0, 2, 0],\n [0, 2, -1, 0],\n [0, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, -3, -1],\n [3, 3, -4, -2],\n [0, 3, 1, -2],\n [4, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, 0],\n [2, 2, -2, -1],\n [-2, 3, 3, 3],\n [0, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1824", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, -2, 2],\n [2, 3, 0, 0],\n [-2, 0, -4, 3],\n [2, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "386", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2, 1],\n [-2, -3, 0, 0],\n [2, 0, 1, -1],\n [1, 0, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, -2],\n [0, -4, -2, 0],\n [0, -2, 2, 0],\n [-2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -3, 4, -4],\n [4, 2, 4, 1],\n [2, 2, 3, -2],\n [0, 3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "794", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -1, 3],\n [-2, -1, 3, -3],\n [3, 1, 2, 0],\n [-1, 4, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "954", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[1, 2, 2, -1],\n [-3, -4, -1, 1],\n [1, -3, -2, -1],\n [-2, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-4, 3, 0, -1],\n [-3, 2, -1, 0],\n [-2, -3, 0, 3],\n [3, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 0, -3],\n [0, 1, 0, -1],\n [0, 0, 0, -2],\n [-3, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "948", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 1, 1],\n [0, 2, -2, -2],\n [1, -2, -1, -2],\n [1, -2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2350", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, -2, 3],\n [-1, -2, 1, -3],\n [-1, -3, -2, 2],\n [-2, 4, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -1, 0],\n [0, -2, 4, -2],\n [-1, 4, 1, -2],\n [0, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2626", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2, 2],\n [0, 1, 2, -4],\n [-2, 2, 3, 0],\n [2, -4, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1156", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -3, 2],\n [0, -2, 0, 3],\n [-3, 0, 2, 3],\n [2, 3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1283", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 1, 0],\n [0, -1, 0, -2],\n [1, 0, -1, 2],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, -1, 0],\n [-2, -1, -2, 0],\n [-1, -2, 1, -1],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2676", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, 3, -1],\n [1, -1, -1, -4],\n [4, -1, 4, 0],\n [-4, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "520", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -3, -2, -1],\n [3, 3, -3, -1],\n [2, -1, -4, 1],\n [3, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1980", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[2, -4, -2, -2],\n [0, 4, -3, -1],\n [3, -3, 2, -2],\n [-3, 3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -3, -1, -2],\n [3, 0, -4, 4],\n [-1, 2, 1, 3],\n [-2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-286", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-2, 4, -1, 3],\n [2, -3, -1, 1],\n [4, 3, 3, -2],\n [2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, 2, 0],\n [0, 1, -2, -2],\n [2, -2, -2, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, 0, 0, 0],\n [0, 1, 1, 4],\n [0, 1, -3, 4],\n [0, 4, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, -2, 1],\n [1, -1, 3, 3],\n [3, 2, 0, 4],\n [1, 4, -3, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, -1],\n [0, 4, 2, 0],\n [3, 0, 1, -4],\n [0, 4, 1, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[4, -2, -2, 2],\n [-2, -4, 1, 1],\n [-2, 1, 2, 0],\n [2, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -3, 0],\n [2, 1, -3, -2],\n [-3, -3, 2, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, -2, -2],\n [-2, -2, 2, 0],\n [-2, 2, 4, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11280", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[3, 0, -2, 0],\n [0, -4, -2, 4],\n [-2, -2, 4, 0],\n [0, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, -3, 4, 1],\n [4, 2, 3, 1],\n [3, 1, 1, -4],\n [-3, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, 2, 4],\n [2, 2, -3, -3],\n [2, 3, -4, 4],\n [2, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1045", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -4, 2],\n [-4, -2, 0, -1],\n [3, 0, -4, 3],\n [-1, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1428", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -4, 1, 4],\n [-1, -3, 0, 1],\n [-1, -2, 4, 3],\n [1, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5644", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, -3, 0, -1],\n [-1, -4, 3, -1],\n [1, -2, -1, 3],\n [2, -4, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, -3, -1],\n [2, 0, 4, 3],\n [-1, 2, -1, 3],\n [-3, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 2, -3],\n [0, 0, 0, 0],\n [2, 0, -1, -2],\n [-3, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4963", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[3, 2, 1, 0],\n [2, -3, 1, 0],\n [1, 1, 3, 1],\n [0, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 2, 4],\n [1, -3, -2, 0],\n [2, -2, -2, 2],\n [4, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5045", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 4, -2, -3],\n [4, 4, -2, 1],\n [-2, -2, -2, 0],\n [-3, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2376", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 3, 2],\n [-4, -3, 1, 2],\n [0, 4, 2, -3],\n [4, 3, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 2, -3],\n [1, 3, 2, 2],\n [-4, 3, 2, -4],\n [-1, 2, 3, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, 0, -2, 3],\n [3, -4, 2, 0],\n [4, -2, -2, -1],\n [-4, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, 1, 0],\n [0, 0, 2, 2],\n [-3, -4, 0, 1],\n [0, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "414", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, -2],\n [0, 4, 0, 2],\n [0, 0, 0, 3],\n [-2, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "699", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 0, 1],\n [2, -3, 2, 2],\n [0, 2, 0, 2],\n [1, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4851", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[3, -4, 1, -4],\n [-3, -4, 0, 0],\n [1, 2, 4, 4],\n [-3, -1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -4, -2],\n [0, -1, -1, 4],\n [-4, -2, 3, -2],\n [-2, 1, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-322", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 2, 0],\n [0, -2, -3, 1],\n [2, -3, -2, -4],\n [0, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5236", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, 0, -2],\n [-4, -2, 1, -4],\n [3, -2, 4, 3],\n [-1, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3496", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, -2],\n [0, 4, 3, -4],\n [0, 3, -4, 3],\n [-2, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1737", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, -2, 3],\n [-2, -3, 2, -2],\n [-2, 2, -1, 0],\n [3, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2732", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[0, 0, 1, -4],\n [-2, -4, -4, -3],\n [-1, -2, 0, 4],\n [0, 4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-330", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -4, 2, 1],\n [1, 4, -2, 2],\n [0, -1, 2, -1],\n [-2, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "506", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 1, 2, 2],\n [4, 4, 0, 3],\n [2, 0, 0, -4],\n [4, 4, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11721", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 4, 2],\n [0, -1, -1, 0],\n [4, -1, -2, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "915", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -4, 3],\n [-4, -4, -3, -2],\n [-2, -2, -4, -1],\n [2, -2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1915", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, -4, 2],\n [-2, 3, 1, -4],\n [1, 4, -1, -4],\n [4, -3, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "432", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, -1, -2],\n [4, -1, -1, 2],\n [-1, -1, 0, 2],\n [-2, 2, 2, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -2],\n [-1, 0, 0, 4],\n [0, 0, -4, -2],\n [-2, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "894", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 4, 2],\n [-3, 4, 2, -2],\n [2, 0, -3, 3],\n [-1, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 4, 2],\n [3, 4, -1, 4],\n [4, -1, -4, 0],\n [2, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1756", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, 0, -1],\n [0, 2, 0, -2],\n [0, 0, 1, -3],\n [-1, -2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1393", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2, -1],\n [0, -3, 0, 2],\n [-2, 0, -1, 3],\n [-1, 2, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[4, -2, 0, 4],\n [3, 2, 1, -3],\n [-4, 2, -2, 3],\n [0, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, 4, 4],\n [1, 2, 4, -2],\n [1, 0, -4, -1],\n [2, -1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "379", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 3, 1, 2],\n [3, 3, -2, 0],\n [1, -2, -3, -2],\n [2, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3383", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 2, 1],\n [2, -3, -1, 3],\n [2, -1, -4, 0],\n [1, 3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "876", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, -4, 1, 4],\n [2, -2, 3, -3],\n [-4, 2, -1, 3],\n [-3, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 2, -3],\n [0, 0, 3, -2],\n [2, 3, -3, -4],\n [-3, -2, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-372", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0, 4],\n [4, -2, 0, -3],\n [0, -1, -1, 4],\n [2, 1, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[3, -1, 0, 3],\n [-1, -4, -4, 4],\n [0, -4, 0, -2],\n [3, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-972", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 4],\n [-2, 2, 2, 2],\n [2, 2, -1, -2],\n [4, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, 2, 4],\n [-4, 4, 0, 0],\n [2, 0, 2, 1],\n [4, 0, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2274", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[2, 0, 3, 1],\n [0, 4, -1, -2],\n [3, -1, 1, 3],\n [1, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, 2, 4],\n [-1, -3, 0, -4],\n [2, 0, -2, 0],\n [4, -4, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1510", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -2, 3],\n [3, -3, 1, -2],\n [-3, 0, 2, 0],\n [2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 0, -4],\n [-3, -4, 2, 3],\n [3, -1, 0, -2],\n [0, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1883", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, -2, 3],\n [-2, -1, 0, -1],\n [-2, 0, -3, 0],\n [3, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4909", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2, 4],\n [2, -2, -1, -1],\n [2, -1, 4, 0],\n [4, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2233", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 3, 0],\n [0, 0, 2, -2],\n [3, 2, 2, 4],\n [0, -2, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8723", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -2, 4],\n [-1, -3, -1, -3],\n [-2, 1, 0, 0],\n [-3, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2753", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, 0, 0, 0],\n [0, 2, -1, 0],\n [0, -1, -3, -4],\n [0, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 2, -2],\n [0, 2, 0, 0],\n [2, 0, -1, -2],\n [-2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3090", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 1, 0],\n [0, -4, 4, -4],\n [1, 4, -2, 2],\n [0, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -4, -3],\n [-4, 0, 3, 1],\n [1, 4, -4, 3],\n [-2, -4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -1, -2, -3],\n [-1, 2, 1, 0],\n [-2, 1, 4, -2],\n [-3, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4018", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, -2, 0, 2],\n [-2, -4, -1, -1],\n [0, -1, -3, 0],\n [2, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 0, 3],\n [2, -4, 0, 3],\n [4, -2, 2, -4],\n [-2, 2, -4, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 2, 2],\n [-3, 3, 4, 4],\n [-4, 4, -4, 2],\n [1, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5882", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 0, 0],\n [2, 2, 0, 2],\n [0, 0, -2, 0],\n [0, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 1],\n [-2, 3, 0, 4],\n [0, 0, 0, 0],\n [1, 4, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4059", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 3, -3],\n [-2, 0, 1, -1],\n [2, -2, -3, 2],\n [-3, -1, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1746", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 3, 2],\n [-4, -1, -3, 2],\n [1, -4, -4, 2],\n [0, 2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-342", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2, 3],\n [-4, -4, 0, -4],\n [2, -1, -2, 3],\n [-4, 0, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "824", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 4, 4, 3],\n [4, 0, 2, -4],\n [4, 2, 1, -1],\n [3, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10350", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, -4, -2, 0],\n [-4, -1, 0, 3],\n [-2, 0, -2, 0],\n [0, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "288", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -2, 4],\n [-2, 4, -2, 2],\n [-1, -4, -2, 1],\n [0, 1, -1, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 1],\n [-2, 2, -3, 0],\n [0, -3, 2, 2],\n [1, 0, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 0, 3],\n [-2, 1, -3, 0],\n [0, -3, -2, -3],\n [3, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 2, 0],\n [-2, 2, 0, 4],\n [2, 0, 0, 0],\n [0, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3761", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 0, -2],\n [0, 1, 1, -1],\n [0, 1, 0, -2],\n [-2, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2814", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 1, 2],\n [0, 2, 0, 0],\n [1, 0, 2, 2],\n [2, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -3, -3],\n [-3, -3, 4, -3],\n [1, 1, 1, -4],\n [-3, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1502", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, 1, -1],\n [1, 0, -1, -1],\n [1, -1, -4, 3],\n [-1, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2849", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, -1],\n [3, -1, -4, 4],\n [3, -3, 4, 0],\n [0, 1, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9636", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 0, 0],\n [2, 3, 1, -4],\n [0, 1, 0, 4],\n [0, -4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, 4, 0],\n [-1, 0, -2, -1],\n [4, -2, -1, 0],\n [0, -1, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2465", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, -4, -2],\n [1, 0, -1, 1],\n [1, 2, 0, 1],\n [4, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -2, 0],\n [0, 1, 0, -1],\n [-2, 0, 3, 1],\n [0, -1, 1, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 2],\n [2, 0, 2, 0],\n [-2, 2, -1, -2],\n [2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "813", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[4, 4, 0, -2],\n [4, -4, 2, 2],\n [0, 2, -3, 0],\n [-2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 4, -1],\n [-3, -1, 2, 4],\n [-2, 2, -3, 1],\n [1, 4, -2, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 2, -4],\n [0, 4, 3, -2],\n [2, 3, 0, 4],\n [-4, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[3, 0, 0, 1],\n [0, -2, 0, 4],\n [0, 0, -4, 0],\n [1, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[2, 0, 0, -4],\n [0, 2, -2, -2],\n [0, -2, 2, 0],\n [-4, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "528", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 0, -4],\n [2, -2, 2, -1],\n [0, 2, 1, 0],\n [-4, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1756", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[1, 4, -2, -2],\n [2, -2, 3, 2],\n [2, 0, 1, 1],\n [3, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-359", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 0, 2],\n [-2, 4, 2, 0],\n [0, 2, 3, 0],\n [2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "731", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -4, 2],\n [0, 3, 0, 0],\n [-4, 0, 1, -3],\n [2, 0, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, -2, 2, 3],\n [-2, 4, 1, 2],\n [2, 1, -2, 0],\n [3, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, 0, 0, 2],\n [0, -4, -1, 0],\n [0, -1, -2, 0],\n [2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, 3, 1],\n [-1, -3, 0, 3],\n [2, 4, -1, -3],\n [-4, 0, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, 1, -3],\n [-1, -2, -2, -2],\n [1, -2, 1, -1],\n [-3, -2, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4572", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, -3, -4],\n [2, -1, -1, -2],\n [1, -2, 4, 2],\n [-3, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1079", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-2, 0, 1, 0],\n [0, 2, 0, 0],\n [1, 0, -4, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "325", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 0, -1],\n [-2, 4, 0, -2],\n [0, 0, 0, 0],\n [-1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, 0],\n [0, -2, 2, -2],\n [0, 2, -4, 0],\n [0, -2, 0, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, 2, -3, -3],\n [-3, 0, 3, -3],\n [1, -2, 1, 1],\n [3, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-258", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 4, -1],\n [-1, -1, -2, -4],\n [2, -4, 4, -1],\n [-3, -2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2939", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -4, -1],\n [0, -2, 4, -2],\n [-4, 4, -4, 0],\n [-1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-428", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -3, 0, -4],\n [-3, -4, 4, 0],\n [3, 2, -4, 1],\n [0, 1, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3212", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -4, -1],\n [0, 3, 2, -1],\n [1, 2, -2, -1],\n [2, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, -2],\n [0, 4, 0, 0],\n [0, 0, -2, 3],\n [-2, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1150", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, 4, -3],\n [4, -2, 2, 4],\n [1, -3, -2, -2],\n [-4, 1, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11894", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, 3, -1],\n [-4, 1, -1, -2],\n [-4, 4, 1, 1],\n [3, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "557", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -3, 0, -3],\n [-4, 1, -4, -1],\n [3, -1, -2, 0],\n [-3, 3, 2, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 4, 0, -2],\n [-3, 1, 2, 4],\n [-4, -3, -2, -1],\n [-1, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "389", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, 4],\n [0, -4, 1, -1],\n [1, 2, 2, -3],\n [4, 1, 3, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 3, 0, 1],\n [2, 2, 4, 0],\n [-4, -2, -4, -4],\n [-3, -3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1803", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[4, -1, 3, -2],\n [2, -4, 2, 3],\n [-1, -3, 1, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-4, 0, -4, 0],\n [0, -2, -1, 3],\n [-4, -1, 1, 1],\n [0, 3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, 2, -4],\n [4, -1, -2, 2],\n [-1, -1, 1, -4],\n [-2, -2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6278", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[3, 2, 0, 2],\n [2, 4, 0, 1],\n [0, 0, 4, -4],\n [2, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2793", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 0, 4],\n [-1, 4, 1, 1],\n [0, 1, 2, -2],\n [4, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1264", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -2, -2],\n [-1, 2, -1, 0],\n [-2, -1, -3, -2],\n [-2, 0, -2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-2, 0, -2, -1],\n [0, 1, 4, 1],\n [-2, 4, -1, -2],\n [-1, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, -1, 0],\n [2, 0, -1, 0],\n [-1, -1, 3, -2],\n [0, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "700", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -4, 1, 1],\n [-2, 2, 3, -1],\n [-1, 1, -3, 4],\n [4, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8551", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, 2, 1],\n [2, -1, -3, 1],\n [4, -2, -1, -2],\n [3, 2, -1, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, 3, 4],\n [-1, 0, -4, -2],\n [0, 0, -4, -2],\n [0, 3, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 3, -4],\n [-2, 2, 3, 1],\n [-3, 2, 4, -4],\n [0, 3, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "958", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 4, 2, 3],\n [3, 2, -1, 2],\n [2, 0, 4, 3],\n [4, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1527", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 1, -4, -4],\n [-2, -1, -4, 0],\n [-1, -1, 0, 4],\n [3, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, -1, -1],\n [-1, 0, 1, 2],\n [4, -1, -3, 0],\n [1, -1, 3, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 4, 0, -2],\n [4, -1, 1, 3],\n [0, 1, 1, 1],\n [-2, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3260", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 0, 0],\n [0, -3, 0, 2],\n [0, 0, -4, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "981", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, 0, -1],\n [-2, -4, 3, 2],\n [0, 0, 2, -1],\n [0, -3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "510", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 2, -2],\n [2, -1, 2, -3],\n [-2, -2, -4, -4],\n [-1, 3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 3, 0, 1],\n [3, -1, 2, 0],\n [0, 2, 2, 1],\n [1, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2498", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 0, -2, -3],\n [0, 4, 1, -3],\n [-2, 1, 0, -4],\n [-3, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, -2, -1, 2],\n [3, 0, -4, 0],\n [-4, 1, 3, -1],\n [-2, 1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, 3, 2],\n [-1, -3, 0, 0],\n [3, 0, 3, 0],\n [2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1176", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, 0, 1, 1],\n [3, 4, 1, 3],\n [-2, 0, -4, -1],\n [0, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 0, -1],\n [-1, -4, -2, 0],\n [0, -2, 0, -2],\n [-1, 0, -2, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-4, 2, -2, 3],\n [2, -3, 3, -3],\n [1, -1, -3, -4],\n [2, 2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-4, -1, -2, 2],\n [-1, -1, 2, 0],\n [-2, 2, 0, -2],\n [2, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-302", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, 0, -2],\n [1, -2, 0, -4],\n [0, 0, -2, 0],\n [-2, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "614", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 1, 0],\n [1, 4, 0, -1],\n [1, 0, -4, -3],\n [0, -1, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 4, -2],\n [3, -3, 0, 3],\n [-4, 3, 1, -4],\n [4, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1231", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 1, -2, -3],\n [1, -2, -1, 2],\n [-2, -1, -2, -1],\n [-3, 2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1912", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 4, 1, 1],\n [4, -3, 4, 2],\n [-3, 3, -3, 1],\n [3, -4, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-648", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, 3],\n [0, 4, 1, -2],\n [-2, 1, 3, 0],\n [3, -2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, -1, 0],\n [-1, 0, 0, 0],\n [-1, 0, 0, 2],\n [0, 0, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "797", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -4, 4],\n [2, -3, -4, 4],\n [-1, 0, 2, 0],\n [-3, 3, 3, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, -4, 1],\n [-1, -2, -2, -4],\n [-2, 1, -3, 1],\n [0, -4, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1076", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 1, 2, -2],\n [1, -1, -2, 1],\n [2, -2, -1, -2],\n [-2, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1611", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-4, 0, -3, 4],\n [-3, 2, 4, 0],\n [-3, 0, 2, 0],\n [-3, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0, 2],\n [-3, -1, 1, -4],\n [0, 0, 1, -2],\n [3, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "598", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 4, 2, 2],\n [4, -4, -2, 3],\n [2, -2, 1, 0],\n [2, 3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11366", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -3, -2],\n [0, 3, 0, -1],\n [-3, 0, 3, 0],\n [-2, -1, 0, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-513", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -4, 3, 0],\n [1, 3, 3, 4],\n [3, -4, 3, 3],\n [-3, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-481", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, -2, 4],\n [-1, 1, -4, -1],\n [1, -3, 4, -3],\n [-1, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7609", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -2, 4],\n [-1, -1, 1, 0],\n [-2, 1, 2, 2],\n [4, 0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "519", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-2, 2, -2, 0],\n [2, -4, 0, -2],\n [-2, 0, -3, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-448", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-3, -2, 1, 0],\n [4, -1, -2, 3],\n [-2, 0, -3, 0],\n [-2, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 1, 0],\n [0, -2, 4, -2],\n [1, 4, 0, 2],\n [0, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 0, 0],\n [0, 0, 0, 0],\n [0, 0, 3, -3],\n [0, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1874", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[3, 1, 2, -1],\n [1, -1, 4, -2],\n [2, 4, -4, 0],\n [-1, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "394", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 2, 0, 4],\n [-3, 1, -3, -2],\n [1, -4, 3, 2],\n [-2, -2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -1, -4, 3],\n [-3, -4, -2, 2],\n [-3, -3, 2, 4],\n [0, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8238", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 4, -2],\n [3, -4, -2, 3],\n [4, 1, 0, 1],\n [2, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1604", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, -2, -1],\n [-4, -2, 4, -2],\n [-1, -3, 4, 0],\n [4, -4, 0, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "308", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[2, -4, 3, -1],\n [-4, -1, -3, -3],\n [-2, -4, -4, -3],\n [1, 4, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 1],\n [-3, -2, 4, -1],\n [4, -3, 1, 0],\n [3, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[4, -3, -2, 1],\n [-3, 2, 2, 2],\n [-2, 2, 1, 0],\n [1, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, 2, -1],\n [3, -2, -1, -3],\n [-2, -1, 2, 2],\n [1, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1793", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -4, -3, 2],\n [-1, -4, 1, -2],\n [-2, 0, -1, 1],\n [-4, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2533", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 2, 2],\n [1, 4, 4, 0],\n [-4, -3, -3, 1],\n [0, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, 4, -4, 4],\n [1, -2, 1, -1],\n [-3, 1, -2, 2],\n [-4, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, -3, 4],\n [-4, 2, 3, -2],\n [0, 4, 4, 0],\n [-3, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2122", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -3, 1],\n [1, 3, 2, 3],\n [-1, 3, -3, -4],\n [3, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "552", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 1, 3],\n [0, 2, 0, 2],\n [1, 0, -2, 0],\n [3, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2828", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, -1, 4, 2],\n [-1, -1, 3, 2],\n [4, 3, 0, 0],\n [-1, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1073", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 4, -4, 2],\n [-3, -1, -4, 4],\n [-3, -1, -3, -2],\n [2, -1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "788", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, 2, 2, -2],\n [2, 3, 0, 3],\n [2, 0, -3, 2],\n [-2, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[4, 0, -4, 0],\n [0, 4, 0, -2],\n [-4, 0, -2, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, -2, -2],\n [0, 3, -3, 0],\n [-2, -3, -3, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7688", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 3, 0],\n [-3, -1, 4, 0],\n [4, 1, 2, 1],\n [-1, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "757", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 0, -4],\n [2, -2, 3, 2],\n [-1, -3, 3, -3],\n [-4, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "758", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-1, -1, 0, 4],\n [-1, -3, -2, 2],\n [0, -2, 1, 2],\n [4, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "892", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, -2, -2],\n [4, -3, -2, -1],\n [2, 0, -1, -4],\n [-1, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, 4, 2],\n [2, 3, -3, 4],\n [0, 1, -2, -1],\n [0, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1785", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -4, -1],\n [1, 4, -2, -3],\n [4, 4, -4, 2],\n [3, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "906", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 3, 3, 4],\n [-4, -4, -4, 3],\n [-3, 3, -3, -4],\n [-3, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6688", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, 4, 0, 0],\n [4, 0, -4, -2],\n [0, -4, 0, -2],\n [0, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-328", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 4, -2],\n [1, 2, -3, 0],\n [4, 3, -3, 1],\n [-3, 4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 0, 2],\n [2, 0, 0, -2],\n [0, 0, 3, -2],\n [2, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1746", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, 3, -2],\n [-1, 1, -1, 3],\n [-2, -2, 3, 2],\n [-3, 2, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, -3, -2],\n [-1, -4, 2, 1],\n [-1, 3, 3, 0],\n [1, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3079", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, 1, 3, 2],\n [0, -1, 1, -4],\n [2, 2, 4, 1],\n [4, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -4, -2, -3],\n [0, 1, -3, 1],\n [-3, 1, -3, -4],\n [-3, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12941", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -3, 1],\n [-3, 4, 3, -4],\n [1, 0, -4, -3],\n [-2, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1296", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, -1, 2, -4],\n [-1, 1, -2, 0],\n [2, -2, 4, -2],\n [-4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "728", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 1, -3, -4],\n [1, 1, -2, 4],\n [-1, 0, -1, 3],\n [0, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 4, -1],\n [-4, 3, -4, 2],\n [0, -2, -3, 1],\n [1, -4, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1292", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, 0, 0],\n [2, -4, 0, -1],\n [0, 0, 0, 0],\n [0, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1041", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, -1, 3, 3],\n [1, 2, -4, 0],\n [-2, 3, 2, 1],\n [3, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 2, 1, -1],\n [-3, 0, 2, 3],\n [3, 0, -3, 4],\n [-1, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 3],\n [-2, -4, -1, -3],\n [1, 2, -1, -3],\n [1, -3, -2, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, 2],\n [2, -4, 2, 0],\n [0, 2, -1, 2],\n [2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3026", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, -2, -2],\n [-4, 3, 3, 1],\n [-3, -2, 1, 3],\n [2, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11551", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, -2, 0],\n [-2, 1, 2, 2],\n [-2, 2, 4, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "663", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 0, -3],\n [2, -1, 1, -4],\n [3, -1, -4, 0],\n [-3, 3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, 1, -1],\n [0, -1, 1, 2],\n [1, 1, -2, 0],\n [-1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, 2, -4, 0],\n [2, 1, 2, 2],\n [-4, 2, -2, 2],\n [0, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, -1, -3],\n [4, 4, -4, -2],\n [-3, 0, -3, -2],\n [-1, 0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-436", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 4, 4],\n [4, 1, 4, 2],\n [4, 2, 0, -2],\n [2, 3, -4, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, -1],\n [0, 2, 0, 0],\n [0, 0, -2, -1],\n [-1, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 4, 0, 2],\n [4, 4, 0, -2],\n [0, 0, 4, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4454", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -3, -2],\n [2, 2, 3, 1],\n [3, 2, -4, -1],\n [0, 2, 2, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, 3, -3, -4],\n [2, -1, 1, 4],\n [1, -1, 4, -1],\n [0, -3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 0, 0],\n [1, 3, 0, -2],\n [0, 0, 0, -2],\n [0, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 1, 3],\n [1, -2, -2, 4],\n [4, -2, 1, -2],\n [-4, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -2, 4],\n [2, -4, 2, 2],\n [-1, 0, -2, -1],\n [4, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3846", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 0, -2],\n [-2, -1, 4, 0],\n [0, 4, 1, 0],\n [-2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "426", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 3, 2],\n [3, 2, -1, 4],\n [2, -3, -4, 4],\n [1, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1669", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 0, -2],\n [2, -3, -2, 0],\n [0, -2, -2, -4],\n [-2, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1339", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, -1, 0],\n [1, 2, -2, -2],\n [-1, -1, -3, 3],\n [2, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "428", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, -2, 0, 3],\n [-2, -1, -4, -4],\n [0, -1, -2, -2],\n [0, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, 0, -2],\n [-2, 0, 1, 0],\n [0, 1, 1, 0],\n [-2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2, -2],\n [0, -1, 0, 2],\n [-2, 0, -3, 0],\n [-2, 2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-300", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 1, 1],\n [-4, -1, 2, 2],\n [2, 3, -3, 3],\n [4, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1176", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-4, 3, 0, 2],\n [3, 4, -1, 0],\n [0, -2, -4, 0],\n [-3, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "651", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, 1],\n [1, 0, -1, 2],\n [1, -4, 2, 1],\n [-4, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "856", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -4, -2],\n [2, -2, 1, 0],\n [-4, 1, 3, -1],\n [-2, 0, -1, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2, -1],\n [0, -1, 0, -2],\n [-2, 0, -4, 0],\n [-1, -2, 0, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-2, 2, -1, 0],\n [2, -4, -2, 0],\n [-1, -2, -3, -2],\n [0, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[1, 0, -2, -2],\n [0, -3, -3, 2],\n [-2, -3, -2, -1],\n [-2, 2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, -2, -1],\n [2, 1, 4, -4],\n [-4, 3, -1, 2],\n [-1, 3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, 0, 0],\n [4, 1, 3, 0],\n [0, 3, -4, -4],\n [0, 0, -4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1739", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -2, 1],\n [2, -1, 2, 3],\n [-2, 2, -3, -1],\n [1, 3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1072", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2, 4],\n [0, -2, 0, 1],\n [2, 0, -2, 0],\n [4, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2274", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, -2, 3],\n [-2, 0, 2, -4],\n [-3, -1, -3, 0],\n [-1, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "949", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[1, 3, 0, -1],\n [1, -3, 0, 0],\n [1, 1, 0, 3],\n [4, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 4, -1, 4],\n [1, -1, -4, -1],\n [-1, -2, 1, 3],\n [2, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "558", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, -1, 2],\n [-2, -1, 2, 0],\n [-1, 2, 1, 2],\n [2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 2, 3],\n [-2, 3, 0, -2],\n [-1, -1, -3, -3],\n [-2, 4, -4, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 4, 0],\n [-3, -4, 4, -2],\n [1, -4, 0, 3],\n [1, -1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[0, -2, -4, 0],\n [-2, -2, 0, -1],\n [-4, 0, -2, 2],\n [0, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 2, -3],\n [-1, -2, -1, 2],\n [-3, 4, -3, 1],\n [0, -4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-517", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 1, 0],\n [-4, 1, 3, -2],\n [3, 0, -2, -4],\n [-1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 2, 4],\n [-3, -4, 2, -4],\n [0, 0, -1, 2],\n [0, 3, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, -3, -3],\n [2, -2, 3, 0],\n [3, 3, 1, 2],\n [3, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "945", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 1, 1, -4],\n [4, 0, 1, 3],\n [-1, -1, 2, 4],\n [0, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3586", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 2, 1],\n [2, 1, 0, 0],\n [2, 0, 4, 1],\n [1, 0, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1596", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, -1, -1],\n [1, -1, 2, 4],\n [3, 3, -3, -2],\n [2, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2562", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 3, 0],\n [2, 2, 0, 2],\n [3, 0, -4, -2],\n [0, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[0, -2, -1, 0],\n [-2, 0, 3, 2],\n [-1, 3, 0, -2],\n [0, 2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[4, -1, -4, 0],\n [-1, -3, 0, -2],\n [-4, 0, -3, 0],\n [0, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 0, 2],\n [-4, -1, 4, 0],\n [-1, 4, -2, -3],\n [4, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-913", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 2, 1, 3],\n [2, 4, 1, -2],\n [1, 1, 1, 0],\n [3, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 0, 2],\n [1, 1, 0, 2],\n [0, 0, -4, 0],\n [2, 2, 0, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, -3, 3, 4],\n [-2, 3, -4, -4],\n [3, 2, 1, -1],\n [-1, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, -4, 3, 4],\n [-3, 4, 1, -2],\n [2, 3, 4, -3],\n [0, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1288", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[4, 2, 0, -1],\n [2, -3, 0, 2],\n [0, 0, -1, -1],\n [-1, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -3, 4],\n [-3, 0, -1, 0],\n [1, 1, 4, 0],\n [-2, -1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "353", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, -4, -4],\n [-3, 0, -4, -1],\n [2, 4, -1, 3],\n [-2, -1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1080", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 2, -3],\n [2, -3, -4, -3],\n [1, -2, -3, 0],\n [-1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9484", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, -3],\n [-2, -3, 2, -2],\n [0, 2, -4, -2],\n [-3, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5205", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, -2, -1],\n [-2, -1, 0, -2],\n [-2, 0, 0, 1],\n [-1, -2, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-741", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, -3, 2],\n [-2, -3, -1, -1],\n [-3, -1, 4, -1],\n [2, -1, -1, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 1, 3, 4],\n [-2, -1, 0, -1],\n [4, 0, -2, 2],\n [2, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1190", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, -1, 0],\n [0, 1, -4, 0],\n [-1, -4, 3, 3],\n [0, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7380", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 2, 3, -1],\n [-2, 0, 2, 2],\n [-1, -3, 2, -4],\n [2, 3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, -1, 3],\n [2, -2, 2, -3],\n [-3, -1, 4, -3],\n [-1, 3, -1, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 2, -4],\n [-2, -1, 4, -4],\n [2, 2, 1, -3],\n [3, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, -2, 1],\n [-2, 2, -3, -2],\n [-3, 2, -4, 2],\n [-4, 4, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "994", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -4, -4],\n [4, 1, -3, -4],\n [2, 2, 1, 2],\n [-4, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-312", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, 0, 3, -1],\n [2, -2, 2, 2],\n [-1, 1, 0, -3],\n [3, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 0, 0],\n [1, -4, 0, 0],\n [0, 0, 2, 2],\n [0, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[2, -3, -1, 0],\n [-2, -3, -4, 2],\n [-1, -2, -3, -2],\n [4, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "907", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-1, 0, 0, 0],\n [0, 1, 2, -2],\n [0, 2, 0, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, 2, 0],\n [2, -2, 4, 2],\n [2, 4, 3, 1],\n [0, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9552", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[3, 4, -3, -1],\n [1, 2, 4, 2],\n [0, -2, -1, -3],\n [-1, 3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, 0, 4, 2],\n [0, 0, 0, 3],\n [4, 0, 1, 0],\n [2, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "369", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, 2, 0],\n [-3, -4, -4, -3],\n [4, -2, -4, 4],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1139", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 1, -2],\n [-2, 4, 2, 0],\n [1, 2, 1, 1],\n [-2, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 0],\n [0, 0, -2, 0],\n [2, -2, 0, 0],\n [0, 0, 0, -4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, -2, -2, 0],\n [-2, 3, 2, -2],\n [-2, 2, 0, 0],\n [0, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -1, -3],\n [0, -1, 2, 1],\n [-1, 2, -3, 2],\n [-3, 1, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, -4, 0],\n [2, 1, -2, 1],\n [-4, -2, -1, 2],\n [0, 1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1579", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, -2, 1],\n [0, 4, 0, -4],\n [-2, 0, -2, -2],\n [1, -4, -2, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, 4, -1],\n [0, 2, 3, -3],\n [0, -1, 2, -1],\n [-3, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2696", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, -1, -3, 3],\n [-1, -2, 3, 2],\n [-4, 0, -4, -4],\n [-1, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -1, 3],\n [0, 4, 1, -2],\n [-1, -4, 3, -4],\n [1, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "870", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, 2, 1],\n [-3, -4, 4, -4],\n [-3, -4, 3, -4],\n [1, -1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -4, 0],\n [-2, 4, -2, -1],\n [-4, -2, -1, 0],\n [0, -1, 0, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -2, -1],\n [-2, -3, 1, 0],\n [-2, 1, 4, -2],\n [-1, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3331", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, -3],\n [4, 0, -4, 3],\n [3, 4, -4, 2],\n [-3, 4, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -1, 0, 1],\n [-1, -4, -1, -1],\n [0, -1, 4, 0],\n [1, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-178", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 2, -4],\n [-3, 4, -3, 0],\n [-3, 4, 3, -2],\n [1, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[4, 0, 0, -1],\n [0, 4, 2, 2],\n [0, 2, -4, -1],\n [-1, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -1, -2, 2],\n [-1, -3, -1, -2],\n [-2, -1, 1, 0],\n [2, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1951", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0, -3],\n [-2, 4, 0, -2],\n [0, 0, 3, 4],\n [-3, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, 3, -2],\n [-4, -2, 4, 4],\n [4, 0, 1, -1],\n [-2, -4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-436", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[4, 3, 0, 1],\n [3, -4, 1, -2],\n [0, 1, -1, 3],\n [1, -2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-250", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, -3, 4, 2],\n [2, 1, 3, -2],\n [-1, 0, -1, 1],\n [4, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-565", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-3, -2, 0, 0],\n [-2, 3, 0, -2],\n [0, 0, -4, -2],\n [0, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -2],\n [-1, 1, -3, 0],\n [0, -3, -3, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5058", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, -2, 3, 2],\n [-2, 3, -2, -3],\n [3, -2, -2, -2],\n [2, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "289", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 2, 0],\n [4, 1, 2, -1],\n [2, 2, -3, -1],\n [0, -1, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, -2, -2],\n [-2, 2, 3, -2],\n [-2, 3, -1, 2],\n [-2, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0, -2],\n [1, 3, -2, 2],\n [0, -2, -2, 3],\n [-2, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 3],\n [4, -2, -3, -1],\n [4, -1, -1, 3],\n [-3, -3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2327", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, -1, 4],\n [3, 0, -4, -3],\n [1, 0, 0, 1],\n [-1, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1306", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, -2, 2],\n [-3, 2, -2, 0],\n [-2, -2, -4, 2],\n [2, 0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1444", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, 3, 1],\n [-1, 0, 0, -1],\n [4, -1, 3, 1],\n [-2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "888", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 4, -1],\n [2, 2, 0, 4],\n [4, 0, 4, 4],\n [-1, 4, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2928", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, -3, -2],\n [3, 4, 1, -3],\n [3, 0, -4, 3],\n [0, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, 4, -3],\n [-4, -2, 1, -3],\n [-2, -4, 3, 1],\n [1, 1, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4966", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, 1, -4],\n [-1, 1, 3, 0],\n [-4, 3, 2, -3],\n [4, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1036", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, -1, 3, -3],\n [3, -2, 2, 1],\n [-1, -3, 3, 2],\n [-2, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 4, 0],\n [-2, -4, -2, -2],\n [4, -2, 3, -2],\n [0, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1579", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -4, 0, 0],\n [-4, 3, 2, 1],\n [0, 2, -2, -2],\n [0, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "763", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -2, 3, 0],\n [-2, -4, 2, -1],\n [3, 2, 0, 0],\n [0, -1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1812", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -1, -4],\n [3, -4, -2, 1],\n [2, -4, -2, 2],\n [-4, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -4, 0],\n [-1, 3, 3, -2],\n [-4, 3, 1, 2],\n [0, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-4, -3, -1, 4],\n [1, 0, 0, -4],\n [3, 4, -4, 4],\n [4, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, 2, 4, 0],\n [-3, 1, 4, 3],\n [-1, -1, 3, 3],\n [-1, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -1, 1],\n [2, -1, 3, 4],\n [-1, 3, -3, 4],\n [1, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, 1, 0, 0],\n [1, -1, 0, 0],\n [0, 0, -1, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 1, -1],\n [2, 3, 0, 0],\n [1, 0, 0, 2],\n [-1, 0, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 4, 1, -2],\n [2, 0, -1, 0],\n [-4, -1, -1, -4],\n [3, -4, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1909", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -3, 1, 0],\n [-3, -2, -4, 2],\n [1, -4, -1, 3],\n [0, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7817", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -1, 0],\n [-3, 4, 0, 0],\n [4, -3, 2, -2],\n [2, -1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "461", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-2, 0, 0, 2],\n [0, 1, 4, 0],\n [0, 4, -3, 0],\n [2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, 0, -2, -1],\n [0, 0, -4, 2],\n [-2, -4, 3, -2],\n [-1, 2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-760", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 3, 2],\n [-1, -1, 1, 2],\n [3, 1, 1, 2],\n [2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "802", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -2, -2],\n [2, 4, 0, -1],\n [-2, 0, -3, -2],\n [-2, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "939", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 4, 2],\n [0, 1, 0, -1],\n [4, 0, 4, 2],\n [2, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9450", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 4],\n [0, -4, 0, 2],\n [0, 0, -3, 0],\n [4, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "697", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -4, -4, -4],\n [3, 3, 3, -3],\n [3, 3, 0, -4],\n [0, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "878", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[3, 2, 0, 2],\n [2, 3, 2, 4],\n [-1, -4, 0, 4],\n [-4, -1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, -1, -1],\n [-1, 2, 2, -2],\n [-2, 3, 2, 1],\n [4, 1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2966", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, 0],\n [0, 3, -2, 0],\n [2, -2, -1, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1301", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, 2, -1],\n [-1, -2, 1, -2],\n [-3, 4, -1, 4],\n [3, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, -1, -2],\n [-3, 4, 4, 0],\n [-1, 4, 3, -1],\n [-2, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1736", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[2, 0, 2, -2],\n [0, 2, 0, -2],\n [2, 0, -2, -2],\n [-2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, -3, -2],\n [2, -1, 0, 0],\n [2, 2, -3, 1],\n [0, -1, 2, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -2, 0],\n [-1, -3, 3, -2],\n [-2, 0, -1, 3],\n [4, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "877", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 2, 3],\n [-2, -4, -1, 2],\n [3, 0, -4, 1],\n [4, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1082", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 2, 4],\n [2, 1, 0, -1],\n [2, 0, -2, 0],\n [4, -1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9592", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, -2, -2, 2],\n [-2, 1, 2, 0],\n [-2, 2, -4, -4],\n [2, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[3, 1, 2, -2],\n [1, 1, 0, -1],\n [2, 0, 3, 0],\n [-2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, -4],\n [-3, 1, 0, 2],\n [1, -1, -3, 0],\n [-4, -2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, 0, -2],\n [4, 0, 2, 0],\n [0, 2, 4, 1],\n [-2, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3306", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, -1, 0],\n [-4, -4, 0, 0],\n [-1, 0, -2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2898", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, -4, -2],\n [1, -4, 2, 1],\n [-4, 2, -3, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8977", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 4, 4],\n [3, -1, -1, -1],\n [4, 0, 0, 3],\n [-3, 1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-4, -4, 4, -2],\n [-1, 0, -1, -1],\n [-4, 4, -3, 2],\n [-4, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -2, 0],\n [0, 3, -2, -3],\n [-2, -2, -2, 2],\n [0, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "402", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 2, 2],\n [0, -4, 2, 4],\n [2, 2, 2, 3],\n [2, 4, 3, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-852", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[2, 2, 4, -2],\n [2, -3, 0, -2],\n [4, 0, 2, -2],\n [-2, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1672", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[1, 0, -2, -2],\n [0, -1, 2, 3],\n [-2, 2, -3, 0],\n [-2, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -4, -1, 3],\n [-3, -2, -3, 1],\n [2, 3, 1, 3],\n [-2, 0, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "582", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 2, -4],\n [3, 2, -2, 2],\n [2, -1, -1, 3],\n [4, 3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "868", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, -1, 3],\n [-4, 3, -3, -4],\n [1, -2, -2, 1],\n [-2, 3, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5866", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, -2],\n [0, 1, 1, -2],\n [2, 1, -3, 2],\n [-2, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 1, 2, 0],\n [1, 1, 2, 0],\n [2, 2, -4, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 2, -4, 1],\n [3, -4, -3, 4],\n [0, 4, -3, 0],\n [-1, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4567", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2, -4],\n [-1, 4, 4, -4],\n [-4, -1, 4, -3],\n [1, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 0],\n [-2, 4, -2, 2],\n [-2, -2, 1, 0],\n [0, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 1, 3, 0],\n [-2, -2, 3, -1],\n [2, 4, -2, 1],\n [1, 2, 1, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, 2, -2],\n [4, 1, 0, 2],\n [2, 0, 4, -1],\n [-2, 2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1755", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 2, 0],\n [-2, 2, 2, 2],\n [-2, 0, 4, -4],\n [-2, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3280", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, -1, -3],\n [3, -1, 2, 2],\n [2, 0, -1, -2],\n [-1, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1571", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, 3, 4],\n [0, 3, -1, -1],\n [-4, 1, -1, 1],\n [4, 3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[2, 2, 0, -1],\n [2, -2, 0, 1],\n [0, 0, 0, 2],\n [-1, 1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 4, 2, -4],\n [-2, 4, 4, -3],\n [-3, 3, -2, -2],\n [2, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1360", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 1, -4],\n [4, 3, -4, 4],\n [-2, -4, 0, 4],\n [-2, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3942", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 0, 0],\n [0, 2, -2, 2],\n [0, -2, 2, 1],\n [0, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "394", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, -4, 2],\n [3, -3, 1, 3],\n [-4, 4, -1, -3],\n [-4, -1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0, 2],\n [1, -1, 1, -2],\n [0, 1, -4, 2],\n [2, -2, 2, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 2, -2],\n [0, 4, -2, 3],\n [2, -2, 1, 1],\n [-2, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5134", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[2, -2, 1, -4],\n [-2, -2, 2, 0],\n [1, 2, -2, 0],\n [-4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "661", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 3, 2, 2],\n [-3, -3, -2, -3],\n [1, 1, 2, 0],\n [-3, -3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "608", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[0, -2, -3, 0],\n [4, 2, 1, 4],\n [-2, -1, -2, -3],\n [-4, -3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[-4, 2, -2, -4],\n [2, 1, 2, 0],\n [-2, 2, -4, 0],\n [-4, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1380", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[3, 1, 1, 4],\n [4, -1, 4, 2],\n [-3, 1, 3, -3],\n [2, 1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -1, 2],\n [0, 1, 0, -3],\n [-1, 0, -1, -2],\n [2, -3, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2797", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, -3, -3],\n [2, -3, 1, 3],\n [4, -4, 2, 4],\n [1, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "904", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 2, 4],\n [-1, -1, -1, -2],\n [2, -1, 3, 2],\n [4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8439", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-1, 0, 0, 0],\n [0, -2, 2, 2],\n [0, 2, 2, 1],\n [0, 2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, 0, 1],\n [4, -1, 1, 0],\n [0, 1, -2, 2],\n [1, 0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3054", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 4, 1, -3],\n [0, -1, -3, -1],\n [0, -1, -3, -1],\n [-1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3046", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[1, 1, 0, 1],\n [1, -4, 0, -1],\n [0, 0, 1, 0],\n [1, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -3, 1],\n [0, 3, -4, -3],\n [-2, -3, 4, 2],\n [4, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1411", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[0, -3, 3, 3],\n [2, 2, -4, -1],\n [4, 4, -1, 4],\n [4, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-477", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, 2, -3],\n [4, -2, 4, 1],\n [-1, 2, -3, -4],\n [1, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-399", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -4, 0, 1],\n [-2, -2, 3, 2],\n [-4, 0, -4, 3],\n [1, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, -1, 0, 4],\n [-1, 0, 1, 1],\n [0, 1, -2, 0],\n [4, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -3, 1, -2],\n [-3, -2, 0, -2],\n [1, 0, 3, 2],\n [-2, -2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5186", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, 0, 0],\n [1, -3, 4, -4],\n [3, -1, -3, 3],\n [4, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 4, 0],\n [2, -2, -1, 2],\n [4, -1, 3, -2],\n [0, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5694", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, 1, -4],\n [-3, -4, 2, -2],\n [1, 2, -3, 2],\n [-4, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12077", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, -4, 2, 0],\n [-4, -1, -3, -3],\n [2, -3, -4, -2],\n [0, -3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -1, 1],\n [-2, 1, 1, 3],\n [-4, -3, 2, 1],\n [1, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "549", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -3, -2, 2],\n [-1, -3, 4, -4],\n [-4, -4, 1, 2],\n [-3, -2, -2, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "594", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -4, 0, -3],\n [-4, 4, 4, 0],\n [0, 1, 1, -3],\n [-4, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3489", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 0, 0],\n [-2, 2, 3, -1],\n [0, 3, -4, 2],\n [0, -1, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1093", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 0, 0],\n [1, 4, 2, 4],\n [0, 2, -1, -3],\n [0, 4, -3, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, -4, -2],\n [2, -4, -3, -2],\n [3, 0, 3, 2],\n [4, 3, 1, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 2, 2, 2],\n [1, 3, -2, 1],\n [2, 2, -2, 2],\n [4, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, -2],\n [2, 4, 1, 0],\n [0, 1, 1, 0],\n [-2, 0, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 4],\n [2, -1, -4, -4],\n [-4, 4, -4, 0],\n [1, -4, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "770", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [2, 0, -2, 2],\n [0, -2, 4, 1],\n [0, 2, 1, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, -2, -1],\n [-2, -4, 1, 0],\n [-2, 1, 2, -1],\n [-1, 0, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3221", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, 2],\n [0, -1, -4, 0],\n [0, -4, 3, 0],\n [2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3599", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 2],\n [0, 1, -1, -1],\n [0, -1, 4, -1],\n [2, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "956", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, 2, -1],\n [3, -2, -2, -3],\n [-4, 1, 2, 3],\n [1, -1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1086", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, -2, -2],\n [-4, -2, 0, -3],\n [-2, 0, 1, -2],\n [-2, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1147", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[0, 2, 0, 0],\n [2, 4, 0, 0],\n [0, 0, 0, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 2, 0],\n [0, 1, -2, 2],\n [2, -2, -4, 4],\n [0, 2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1406", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 3, 1],\n [2, 3, 3, -2],\n [-2, 3, -2, 4],\n [-4, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -1, 3, -3],\n [3, 0, -1, 2],\n [-2, 4, -1, 2],\n [-4, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-405", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, 0],\n [2, 4, -2, -2],\n [0, -2, -1, 1],\n [0, -2, 1, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "286", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-1, 3, 0, 3],\n [3, -3, 3, 2],\n [0, 3, 3, 0],\n [3, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 0, 0],\n [0, 1, 0, 2],\n [0, 0, 0, 0],\n [0, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, -1, -2],\n [0, -4, -2, -1],\n [-1, -2, 0, 0],\n [-2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-536", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -4, -3],\n [-2, 3, -2, 0],\n [-1, -1, -3, -4],\n [-3, -2, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28748", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -1, 2],\n [0, 4, -1, 0],\n [-1, -1, 0, -2],\n [2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 4, -2, -2],\n [4, -3, 0, -4],\n [-2, 0, -4, 0],\n [-2, -4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-368", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 4, 0],\n [0, 4, -3, -3],\n [4, -3, 1, -2],\n [0, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9822", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -1, -3],\n [0, -3, -1, 0],\n [-1, -1, 0, -4],\n [-3, 0, -4, -1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[3, 3, 3, -2],\n [2, -4, 1, -4],\n [0, 0, 1, 0],\n [3, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -1, 2],\n [-3, -3, -4, -2],\n [-4, 0, -3, 1],\n [4, -3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9110", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-3, -1, -2, 2],\n [-1, 3, 1, 2],\n [-2, 1, -3, 2],\n [2, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 0, 0],\n [2, -1, 2, 0],\n [0, 2, 4, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "513", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[0, -2, 3, 1],\n [-2, 1, 2, -1],\n [3, 2, -4, 3],\n [1, -1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, -2, -4, -1],\n [-1, 2, 2, -1],\n [2, 1, -2, -1],\n [3, -3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-4, 0, 2, 2],\n [-4, -4, 3, -1],\n [1, -4, 3, -2],\n [-3, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-438", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-3, 0, -2, 1],\n [0, -2, 0, 0],\n [-2, 0, -3, 1],\n [1, 0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-3, -2, -2, 3],\n [3, -2, 0, 0],\n [-1, -3, -1, 2],\n [0, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, 4, 0, 0],\n [4, 3, 0, 0],\n [0, 0, 2, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, -1, -4, -2],\n [0, -4, -1, -1],\n [0, -2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[2, 2, -3, 0],\n [2, -1, 0, -2],\n [-3, 0, -2, 2],\n [0, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 2],\n [-2, -3, 3, 3],\n [-3, 3, -3, -2],\n [-3, -2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "654", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, 4, -2, 0],\n [4, 1, 2, 2],\n [-2, 2, 1, -1],\n [0, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1229", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -1, 2, -2],\n [-1, -2, -2, 0],\n [2, -2, -4, -1],\n [-2, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1394", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, 2, -2],\n [4, 0, 2, 0],\n [2, 2, 3, 4],\n [-2, 0, 4, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-4, 2, 0, 0],\n [4, 0, 4, -2],\n [-2, 3, 2, 4],\n [3, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 2, -4],\n [-2, -3, 3, 1],\n [2, 3, 0, 0],\n [-4, 1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 1, 0],\n [1, 1, -2, 4],\n [-2, -3, -4, -3],\n [-3, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3572", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 0, -2],\n [-2, -4, -2, -1],\n [0, -2, 1, 0],\n [-2, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7858", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 0, 4],\n [1, -4, 2, 1],\n [-1, -1, -2, -3],\n [-1, -1, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "512", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, 4, 0],\n [1, 1, -3, -4],\n [3, 4, 3, 1],\n [-2, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1000", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -2, 3],\n [-1, 3, -4, -2],\n [1, -1, -4, -3],\n [4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7507", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 2, 0],\n [-2, 1, 0, -3],\n [2, 0, -4, 4],\n [0, -3, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1838", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, -2, 0],\n [-1, 2, -4, 2],\n [-2, -4, 1, 0],\n [0, 2, 0, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-248", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -2, 1],\n [0, 3, 0, 2],\n [-2, 0, -3, 1],\n [1, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1372", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 2],\n [2, -3, 0, 0],\n [0, 0, -4, -1],\n [2, 0, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "858", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, -1, 2],\n [-2, -3, -2, 2],\n [-1, -2, -2, -1],\n [2, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-309", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -4, 2, -4],\n [-2, 0, 4, 4],\n [0, -1, 3, 0],\n [-4, -2, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18550", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, -3, 1],\n [1, -3, -2, -4],\n [-1, -2, 3, -1],\n [2, -3, -4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1947", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 4, 3, -1],\n [1, -4, -4, -2],\n [-3, -2, 3, -2],\n [2, -3, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-576", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 0, -2],\n [0, 1, 0, 2],\n [0, 0, 0, 0],\n [-2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -3, 3],\n [0, 4, 2, 4],\n [-2, 2, -3, -1],\n [-3, 3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "324", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 2],\n [0, 4, 0, -2],\n [0, 0, -1, 0],\n [2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "794", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 0, -4],\n [-1, 3, 2, 0],\n [1, -1, 4, -2],\n [-1, 2, 2, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, 2, -4],\n [-2, 3, 4, 2],\n [4, 2, 4, 3],\n [2, 4, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2368", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[2, -2, 0, 0],\n [-2, 1, -2, 0],\n [0, -2, 3, 0],\n [0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, 2, -2],\n [-4, -2, 0, 4],\n [2, 0, -1, 0],\n [-2, 4, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9606", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[1, -4, -4, -2],\n [-4, 3, 3, 1],\n [3, -2, -4, 3],\n [2, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-380", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -2, 2],\n [-2, -3, 2, 0],\n [-2, 2, -3, 0],\n [2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "677", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 2, -4],\n [-4, 2, -1, 3],\n [0, 2, 2, -4],\n [-3, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "869", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, 2],\n [0, -1, 0, 0],\n [0, 0, 0, 2],\n [2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1774", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 2],\n [0, 4, 4, 4],\n [0, 4, -3, 2],\n [2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1543", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, 3, 1],\n [-1, -4, 0, 0],\n [-3, -3, -2, -4],\n [3, -4, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -4, -3, 1],\n [-1, 0, -2, -1],\n [-4, 1, 3, 3],\n [-3, 3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "494", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -3, -1],\n [0, -3, -4, -4],\n [-4, 4, -2, 4],\n [4, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7442", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, 0, -1, -3],\n [3, 0, 4, 1],\n [-4, 0, -4, 3],\n [1, 4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -3, 3],\n [-3, -1, -2, 0],\n [-3, -2, 3, -2],\n [3, 0, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 4, 1, 0],\n [3, -2, -2, 2],\n [2, 1, 0, 4],\n [4, 2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6375", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, 0, -2, -2],\n [0, -2, -2, 1],\n [2, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4190", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -1, 1, 2],\n [-1, -2, 4, 2],\n [1, 4, 1, 0],\n [2, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1040", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 1, 0],\n [0, 3, 0, 0],\n [1, 0, 3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -4, -1, 0],\n [3, -1, 2, -2],\n [-1, -1, -1, -3],\n [4, -1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "457", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, 0],\n [2, 0, -4, -2],\n [0, -4, 3, 0],\n [0, -2, 0, -1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -1, 0, 2],\n [-1, -4, 2, -1],\n [0, 2, 3, -1],\n [2, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "661", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, 2],\n [0, -4, -1, 0],\n [0, -1, -3, -2],\n [2, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-301", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, -3, 2],\n [-2, -1, 2, 4],\n [-3, 2, 1, -1],\n [2, 4, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "287", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, 1, 0],\n [3, 1, 2, -2],\n [1, 2, -4, 0],\n [0, -2, 0, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[2, 0, -4, 4],\n [-2, 4, 1, -2],\n [-1, -3, 3, 1],\n [4, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "600", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, -2, -2],\n [1, 0, -2, 2],\n [-2, -2, 0, -2],\n [-2, 2, -2, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "218", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, -4, -3, -1],\n [-1, 4, 0, 1],\n [0, 1, 3, 0],\n [-3, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, -4, -4],\n [4, -4, 4, -2],\n [3, -3, 2, -4],\n [0, -2, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8819", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, 0, 2],\n [3, -1, -4, 3],\n [2, 1, -4, -3],\n [-3, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, 4, 2],\n [-3, -3, 3, -3],\n [4, -1, 0, -4],\n [2, -4, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1271", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -3, 0],\n [3, -4, 3, -4],\n [-1, -4, 0, 1],\n [1, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "838", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, 4],\n [1, 1, 4, 3],\n [1, 3, 1, -4],\n [4, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -1, 2],\n [1, 2, 0, 0],\n [-1, 0, 3, 0],\n [2, 0, 0, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-2, -4, 4, 4],\n [0, -1, -1, -2],\n [1, -1, 1, 3],\n [4, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, -4, 0, 0],\n [-4, 4, 2, -2],\n [0, 2, -3, 0],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, 2, -4],\n [-3, -3, -1, 3],\n [-3, -1, 1, 3],\n [-4, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10027", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, -2, 0],\n [2, -2, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "385", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 0, -1],\n [-2, 4, 0, -4],\n [0, 0, 1, -2],\n [-1, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10493", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, -2, 0],\n [3, 0, -4, -2],\n [-2, -4, 4, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1045", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -2, 0],\n [2, -4, -2, -1],\n [-2, -2, -1, 2],\n [0, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -2, 0],\n [0, 4, 2, 0],\n [-2, 2, 2, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, 0, -4, -2],\n [0, 1, 4, -1],\n [-4, 4, 2, 0],\n [-2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "689", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, -3, -4],\n [3, -2, 4, -1],\n [0, 1, -1, 0],\n [-1, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, -2, 1],\n [-3, 3, -3, 1],\n [1, -1, -1, 4],\n [4, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[2, -3, -4, 0],\n [-3, -1, 1, -1],\n [-4, 1, 1, 4],\n [0, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -2, -2],\n [-2, -2, 0, -2],\n [-2, 0, 2, 0],\n [-2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-445", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 0, 0],\n [2, 3, 0, -1],\n [0, 0, -4, 0],\n [0, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1641", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 2, 2],\n [2, 3, -2, 0],\n [2, -2, -2, -2],\n [2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5575", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 0],\n [0, -3, -2, -3],\n [0, -2, 1, 2],\n [0, -3, 2, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, -1, 0],\n [-1, 2, 0, -3],\n [0, 1, -3, -3],\n [-3, 4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-316", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 3, 0, 4],\n [-2, -3, 2, 2],\n [4, -2, 0, -1],\n [-2, 4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2006", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 1, -1, 4],\n [-2, 2, -1, -2],\n [-3, 1, -2, -3],\n [3, -1, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 1, 0],\n [0, -3, -2, -2],\n [3, -3, 0, 1],\n [3, -1, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, -1, -1],\n [-1, -4, 2, -1],\n [0, 1, 0, -3],\n [3, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1550", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, -1, 3],\n [-2, -4, -2, 0],\n [2, -2, -2, 2],\n [-3, 4, 0, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-224", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -3, -2],\n [-2, 3, 2, -1],\n [-4, 0, -1, -1],\n [0, 4, 1, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 4, -4, -1],\n [-1, -3, 0, -1],\n [1, 2, -1, 0],\n [4, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "467", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -4, -4, -1],\n [-4, -4, 2, 2],\n [1, 1, 0, -4],\n [4, 4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17786", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-4, 0, 2, 0],\n [0, 1, 2, 4],\n [2, 2, -1, -2],\n [0, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[0, 4, -2, -1],\n [4, 4, -2, -4],\n [4, 2, -1, -3],\n [4, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, -4, -3],\n [-2, 3, -2, 3],\n [4, 0, -4, -4],\n [-3, 3, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6369", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 1, -3],\n [0, -2, -1, -2],\n [1, -1, 4, 0],\n [-3, -2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4094", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -4, 1, -1],\n [0, 3, -2, -4],\n [-1, -2, 3, 2],\n [3, 4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-596", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -4, -4],\n [-1, 3, -2, 2],\n [0, 3, -1, 3],\n [3, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2524", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-4, 1, -3, -2],\n [-1, 4, -3, 4],\n [-3, -3, -2, 0],\n [1, -2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "494", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 0, -2],\n [0, -3, 0, -1],\n [0, 0, -3, 0],\n [-2, -1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1218", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, -3, -2],\n [0, -2, -2, 2],\n [-4, -1, -1, 4],\n [1, -2, -2, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, 2, 4],\n [2, 2, 1, 4],\n [2, 4, -2, -1],\n [-4, 2, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[2, 3, 2, 2],\n [3, 3, -4, 4],\n [4, 0, -4, -1],\n [3, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-2, -1, 0, 0],\n [-1, 2, 0, -2],\n [0, 0, -4, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 1, 3],\n [2, -4, 1, 0],\n [1, 1, 3, 3],\n [3, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10021", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -4, -3],\n [-4, 1, 0, 4],\n [-4, 0, 0, -2],\n [3, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4201", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 1, -2],\n [2, 3, 0, -3],\n [1, 0, -1, 0],\n [-2, -3, 0, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-486", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, -2, 2],\n [-1, 2, 0, 0],\n [-2, 0, 4, 0],\n [2, 0, 0, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-4, -1, 3, 1],\n [1, -4, -1, 2],\n [-2, -3, -3, 3],\n [-4, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, -4, 3, 2],\n [3, -2, -3, -4],\n [-1, 4, 3, 1],\n [4, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 1, 4],\n [0, 3, 1, 0],\n [1, 1, 2, 0],\n [4, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "640", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, 0, -4],\n [-4, 1, 2, -1],\n [-4, 3, -4, 0],\n [-1, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3984", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2, 0],\n [0, 3, -2, 0],\n [2, -2, -4, 0],\n [0, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "553", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, 0, 0, -2],\n [0, -4, -1, 0],\n [0, -1, -2, 0],\n [-2, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 0, -2],\n [0, 4, 0, -2],\n [0, 0, -4, 0],\n [-2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "537", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -3, -1],\n [3, -1, -4, 1],\n [-4, -2, 4, -3],\n [-3, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-314", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 0, 0],\n [4, -4, -2, 4],\n [-1, 2, 1, 0],\n [-1, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, 2, 0],\n [-2, 0, 0, 0],\n [2, 0, 3, 1],\n [0, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1418", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -3, -2],\n [-1, -3, 3, 3],\n [-2, 2, 3, 3],\n [3, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -1, 1],\n [-4, 0, -4, 2],\n [-4, -1, -2, 4],\n [2, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5514", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-4, 0, 2, -3],\n [0, 3, 2, 0],\n [2, 2, -1, -2],\n [-3, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 0, 3],\n [-4, 0, 0, -3],\n [3, -1, -2, 0],\n [2, -2, 4, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -1, 1],\n [0, -1, 1, 1],\n [-2, 3, 2, -4],\n [-4, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "571", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 2, 0],\n [-2, 2, 0, 2],\n [2, 0, -3, 1],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, -2, 0, 2],\n [-2, -3, 0, 4],\n [0, 0, -1, -1],\n [2, 4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[0, 1, -3, 2],\n [1, -3, 0, -2],\n [-3, 0, -1, 2],\n [2, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -3, -2],\n [3, -1, 2, -2],\n [-3, 2, -4, 0],\n [-2, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, 0, 3],\n [2, -2, 4, -2],\n [2, -1, -4, 1],\n [-3, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, -2],\n [0, -1, 0, -2],\n [0, 0, 2, 0],\n [-2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, -1, -3],\n [2, 4, 1, -1],\n [4, 2, -3, -3],\n [4, -2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1135", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 4, -2],\n [-1, 4, 2, 2],\n [4, 2, -1, 4],\n [-2, 2, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, -4, -2],\n [4, -3, -4, 4],\n [1, -2, 3, 0],\n [0, 0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3311", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -3, -4],\n [-1, 3, -1, 0],\n [-3, -1, -3, 0],\n [-4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1222", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -1, 0],\n [-3, -3, 2, -2],\n [-1, 2, 3, 1],\n [0, -2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-248", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, -4, 3],\n [4, 1, -4, 0],\n [3, -1, -2, 4],\n [2, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1660", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[3, 2, 0, -4],\n [2, -1, 1, 0],\n [0, 1, 1, 0],\n [-4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-4, -3, 1, 3],\n [2, 3, -3, 3],\n [3, 1, -3, 2],\n [-4, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[1, -2, -1, 0],\n [-2, 1, -3, 0],\n [-1, -3, -4, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -4, -3, -2],\n [3, -1, -4, 3],\n [2, -1, 4, -3],\n [0, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8379", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -3, -4],\n [3, 0, -3, 1],\n [-1, 3, -1, -2],\n [4, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1242", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 4, 4, 0],\n [-1, 3, 4, 1],\n [1, 0, -3, -1],\n [3, -3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "577", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 1, 2],\n [0, -4, -2, 0],\n [1, -2, 4, 2],\n [2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1063", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-2, 0, -4, 4],\n [-4, -1, 2, 0],\n [0, -1, 3, -3],\n [-3, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -3, 0],\n [1, 1, 3, -2],\n [2, 4, -2, -3],\n [-4, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, -1, 0],\n [2, -3, 2, 3],\n [0, 2, 2, -1],\n [-2, 1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "307", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -4, 1],\n [-1, 0, 0, -2],\n [-4, 0, 4, 0],\n [1, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, 2, 0],\n [1, -2, 3, 0],\n [2, 3, 3, -2],\n [0, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "828", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-2, 1, 4, 0],\n [0, 2, 4, 3],\n [0, 0, 4, 0],\n [2, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -1, 2, 0],\n [-2, -3, 2, -3],\n [1, -3, -1, -1],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, 4],\n [-2, -4, 0, 2],\n [0, 0, 1, 1],\n [4, 2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 3, 0, 0],\n [3, 1, 0, 0],\n [0, 0, -3, 2],\n [0, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, -1, 0, -2],\n [-1, -3, 0, -1],\n [2, -4, -1, -1],\n [1, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-1, -4, -1, -3],\n [1, -1, -1, -2],\n [-2, 1, 3, -2],\n [1, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 1, 2, -4],\n [1, -2, -1, -4],\n [-2, 1, 1, 1],\n [-3, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "812", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 4, 1, -4],\n [0, -4, 0, -2],\n [-3, 2, 3, 2],\n [-2, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "680", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 3, 0, -3],\n [1, -2, 3, 1],\n [4, 1, 4, 0],\n [1, 0, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1350", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, -2, -2, -1],\n [-2, 1, 2, 0],\n [-2, 2, 4, 4],\n [-1, 0, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 3, 2],\n [2, -3, -2, 2],\n [3, -2, 1, 2],\n [2, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, -2],\n [0, -1, 0, 3],\n [0, 0, 0, 2],\n [-2, 3, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1417", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[4, -2, 2, 0],\n [-2, -4, 0, -4],\n [2, 0, -1, 0],\n [0, -4, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, -1, -1],\n [-3, 3, 2, 0],\n [-1, 2, 1, 2],\n [-1, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "770", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, -4, 1, 4],\n [0, 4, -4, 3],\n [2, 4, 1, -4],\n [1, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 2, 4],\n [1, 1, 0, 0],\n [2, 0, 0, 2],\n [4, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-4, -1, -1, 4],\n [-1, -4, 0, 4],\n [-1, 0, -4, -2],\n [4, 4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2250", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, -2, 0],\n [3, 1, -1, 2],\n [-1, 1, 0, -4],\n [0, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "670", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, 2, 0],\n [-4, -2, 2, 4],\n [2, 2, -3, 2],\n [0, 4, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2674", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 3, 4, -4],\n [-3, 4, -4, 1],\n [-1, -3, 0, -1],\n [2, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4316", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 1, 0],\n [-1, -1, 0, -2],\n [4, 4, -2, 4],\n [-1, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "807", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 2, 2],\n [-1, 3, 0, 2],\n [2, 0, -2, -3],\n [2, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1304", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, -4, -3],\n [1, 3, 3, -2],\n [-4, 3, 3, -2],\n [2, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1638", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, -2, 2],\n [-3, -2, 2, -3],\n [-2, 2, -3, -2],\n [2, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-181", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, -4, -3],\n [4, -2, -3, -3],\n [1, 4, -2, 2],\n [2, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, 0, 0],\n [-4, 1, 0, 0],\n [0, 0, 3, 0],\n [0, 0, 0, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, 0, 2, -3],\n [0, -1, 0, 0],\n [2, 0, -3, 1],\n [-3, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, 1, 1],\n [-4, -4, 1, -1],\n [-4, 4, 4, 2],\n [-4, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3068", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 3, 4],\n [-2, 3, 0, 3],\n [-3, -4, 4, 2],\n [2, -1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-308", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 2, 3],\n [2, -3, -2, 2],\n [2, -2, -1, 2],\n [3, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1226", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 1, 0],\n [0, 2, 1, -4],\n [1, 1, 0, -2],\n [0, -4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1041", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, -4, -1],\n [1, -3, 1, -2],\n [-2, -3, -4, -4],\n [-4, 1, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4628", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 1, -2],\n [-2, 0, -1, 1],\n [1, -1, 4, -3],\n [-2, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 3, 2],\n [0, -2, -1, -2],\n [3, -1, 4, 0],\n [2, -2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "878", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[3, 2, 1, -2],\n [2, 0, 4, 0],\n [1, 4, 3, -4],\n [-2, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1048", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[1, -2, 2, 0],\n [-2, -2, -2, -2],\n [2, -2, 4, -2],\n [0, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "393", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[3, 2, 1, -3],\n [2, 1, -3, 2],\n [1, -3, 2, 0],\n [-3, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, 2, 2, 2],\n [2, 4, -4, 2],\n [2, -4, 1, -2],\n [2, 2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-2, 0, 0, -4],\n [0, 0, -3, -2],\n [0, -4, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-866", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -4, 0, 2],\n [-4, 0, 2, 0],\n [0, 2, 1, 0],\n [2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "833", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, -4, 1],\n [0, 4, -2, 0],\n [-4, -2, 2, -2],\n [1, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1569", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0, -1],\n [-2, 0, 0, 2],\n [0, 0, 3, 0],\n [-1, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, 4, 0, -4],\n [-4, 0, 4, 4],\n [-2, 1, -3, 3],\n [0, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, -1, 3],\n [2, 0, 4, 1],\n [0, -2, -4, -1],\n [-3, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3683", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 4, 1, -1],\n [4, 2, -4, 1],\n [-4, 2, 0, -2],\n [-4, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5173", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 0, -2],\n [-1, 3, 0, -2],\n [0, 0, -2, 0],\n [-2, -2, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, -1, 3],\n [4, -2, 3, -1],\n [3, -2, 3, -2],\n [-1, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 1, -2, 3],\n [3, -1, 4, -1],\n [-4, 2, -2, -3],\n [-2, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[2, 0, 0, -2],\n [0, 2, -2, -4],\n [0, -2, 2, 0],\n [-2, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, -2, -4],\n [-2, 2, -1, 2],\n [-2, 1, 1, 2],\n [-3, 0, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1293", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[3, 2, 0, -4],\n [-2, -1, 0, 0],\n [-4, 1, 0, 1],\n [-3, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, 0, -4, 2],\n [0, 2, -2, -2],\n [-4, -2, 3, -2],\n [2, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-3, -4, 3, -3],\n [-2, -4, -2, -3],\n [-1, 4, -2, 3],\n [2, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, 4, -1],\n [1, 0, -4, 1],\n [-4, 3, -2, -4],\n [0, 3, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[4, 2, 0, -4],\n [2, 0, 3, 1],\n [0, 3, 3, 0],\n [-4, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[4, -4, 1, -2],\n [-4, -3, -3, -2],\n [1, -3, 2, -2],\n [-2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, 0, 2, -1],\n [0, -2, -2, 2],\n [2, -2, -2, -3],\n [-1, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[3, 1, -4, -3],\n [-4, -2, 1, -1],\n [0, -1, 1, -1],\n [-3, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -4, -3],\n [-2, 4, 4, 4],\n [4, -2, 3, 0],\n [4, 0, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4391", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, 3, 2, 2],\n [3, -4, -2, -1],\n [2, -2, 2, -3],\n [2, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, 1, -2, 4],\n [1, 0, -1, -2],\n [-2, -1, -3, -2],\n [4, -2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-825", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, 3, 3, 1],\n [-1, 4, -3, -4],\n [-4, -4, -1, 0],\n [3, 0, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 2],\n [1, 3, 0, 3],\n [-4, -3, 3, 4],\n [-2, -4, -3, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-300", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -4, 1, 1],\n [-4, -2, -2, 1],\n [1, -2, 1, -2],\n [1, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1413", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 0, -2],\n [-4, 3, 0, 0],\n [-4, 0, 1, 4],\n [-4, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6203", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 2, 0],\n [-3, 0, 0, 2],\n [2, 0, 2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "524", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, -1, -1],\n [2, 1, 2, 2],\n [-1, 2, 4, -2],\n [-1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1806", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, -3, 4, 1],\n [-3, -3, 3, -3],\n [-4, -2, -1, -1],\n [1, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, 1, 0],\n [-1, -3, 0, 0],\n [1, 0, -3, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[0, 0, -1, 1],\n [4, -3, 1, 2],\n [2, 0, 2, 4],\n [-4, -2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-2, -2, -2, 2],\n [-2, -4, 0, -2],\n [-2, 0, 0, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -3, -2],\n [0, 2, 0, -4],\n [-3, 0, -2, 3],\n [-2, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7804", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 0, 0],\n [2, 0, 0, -2],\n [0, 0, 4, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "459", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 2, 1],\n [-1, -2, 0, 0],\n [0, 1, 0, 0],\n [1, 2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 0, -2],\n [-2, -4, -2, 3],\n [0, -2, 0, 0],\n [-2, 3, 0, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[1, 0, 1, 0],\n [0, -2, 3, 0],\n [1, 3, -2, -1],\n [0, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "370", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 0],\n [0, -2, -3, 2],\n [0, -3, -1, -4],\n [0, 2, -4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "631", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0, -2],\n [2, 3, -2, 1],\n [0, -2, 0, 0],\n [-2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2593", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -4, -3, -1],\n [2, 4, 3, -1],\n [0, -2, 2, 4],\n [-3, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, -1, -2],\n [2, 1, 4, 1],\n [0, 2, -4, 0],\n [-1, -3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "891", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, -2, 1],\n [4, 1, 0, -2],\n [-1, -3, -4, -1],\n [-3, -3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1164", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, 0, -2],\n [4, -1, 0, 2],\n [0, 0, 1, 2],\n [-2, 2, 2, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-318", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, -2, -2],\n [-1, 3, 1, 2],\n [-2, 1, -4, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-235", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-1, -4, 0, -3],\n [-4, -2, 3, 2],\n [0, 3, -4, 4],\n [-3, 2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1790", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 2, 0],\n [2, 0, 0, 2],\n [2, 0, 3, 1],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "547", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 3, 0],\n [0, 4, 2, -2],\n [3, 2, -3, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -2, 1, 2],\n [-2, -4, -2, 0],\n [1, -2, -3, 0],\n [2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3613", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, 2, -1],\n [-1, 3, -2, 2],\n [-4, -3, -1, -1],\n [1, -3, 0, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[1, -2, -1, 3],\n [4, 1, 1, 1],\n [-1, 1, -4, 3],\n [-2, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 1, 0],\n [-2, 4, 2, 2],\n [1, 2, 2, -2],\n [0, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1802", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, 4, -1],\n [1, -4, -4, 1],\n [-1, -4, 2, 1],\n [-1, 1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2268", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -2, 4],\n [0, -3, 1, -1],\n [2, 2, 1, 3],\n [-3, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "471", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -2, -2],\n [2, -2, -1, -3],\n [-2, -1, -1, 0],\n [-2, -3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 4],\n [0, -2, -2, 2],\n [-2, -2, 3, 2],\n [4, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4486", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -4, 1, -2],\n [4, -2, 2, 1],\n [4, 3, 1, 3],\n [-1, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -4, -2, 0],\n [-4, -3, 0, 2],\n [-2, 0, -1, 0],\n [0, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "764", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, 1, -2, 1],\n [1, -2, -1, 4],\n [1, -1, 2, -1],\n [2, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, -3, 0],\n [2, -1, 1, 1],\n [-3, 1, 0, -1],\n [0, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-195", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, 1, -1],\n [0, -4, -3, 1],\n [0, 0, 4, -2],\n [4, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 0, -2],\n [-4, 4, 4, 2],\n [3, -3, 2, -2],\n [-4, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-379", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 1, -3],\n [1, -3, 2, -1],\n [-3, -3, 2, -4],\n [3, -4, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "863", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -4, -4, -1],\n [2, -3, 0, -4],\n [2, 3, 0, 3],\n [-1, 1, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "579", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0, -3],\n [1, 1, -2, -2],\n [0, -2, -2, -1],\n [-3, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7050", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -2, 0, 0],\n [-2, -1, -2, 0],\n [0, -2, 0, -1],\n [0, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "879", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, 0, 2],\n [4, -1, -2, 2],\n [0, -2, 4, 0],\n [2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "337", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -3, 2],\n [1, 4, -1, 0],\n [2, -3, 3, 1],\n [-4, -2, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "955", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 0, 1],\n [0, -2, 3, -1],\n [3, -2, 4, -1],\n [1, 1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -4, 0],\n [-2, -4, 2, 2],\n [-4, 2, 1, 2],\n [0, 2, 2, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1205", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, -1, 2],\n [-2, 2, 3, 0],\n [4, 0, 3, -2],\n [-2, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, -2],\n [-2, 3, -1, 1],\n [0, -1, -2, -3],\n [-2, 1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3348", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, 4, -3],\n [-2, 3, -3, 4],\n [-4, -2, 2, -1],\n [-1, -1, 1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[1, 2, -2, 0],\n [-3, -1, -3, 0],\n [0, -3, -3, -4],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "636", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 2, 0],\n [2, 1, -1, 0],\n [2, -1, 4, 0],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1277", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 2],\n [-3, -3, -3, 1],\n [-1, 2, 2, -2],\n [-2, -4, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, -1, 3],\n [4, 0, 0, -1],\n [0, -1, -4, 0],\n [1, -3, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1552", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 3, 0],\n [2, 4, -2, -4],\n [3, -2, 1, -2],\n [0, -4, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 2, -3],\n [-4, 1, 3, -3],\n [-4, 4, -1, -4],\n [-1, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2608", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -4, -1, -1],\n [-1, 2, 2, -1],\n [4, 2, -1, 0],\n [-1, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1031", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 3, 0],\n [-2, 4, 2, -2],\n [4, -2, 0, -2],\n [-1, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 0],\n [2, -1, 3, -2],\n [-2, 3, 4, 0],\n [0, -2, 0, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, -1, -1, -2],\n [3, 1, -4, -4],\n [-3, 1, -1, -3],\n [-1, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 3, -1, 2],\n [-4, 3, 4, 4],\n [2, -2, -1, -2],\n [-3, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 3, -2, -2],\n [0, -2, 4, -4],\n [-4, 4, 1, -2],\n [4, -1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11215", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, -2],\n [2, -4, 2, 2],\n [-2, 2, 4, 2],\n [-2, 2, 2, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1136", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-1, -1, -2, -2],\n [-1, 2, 0, 0],\n [-2, 0, 0, 0],\n [-2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, -1, 1],\n [1, 0, 2, 4],\n [-1, 2, 0, -2],\n [1, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1244", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -2, 2],\n [2, 0, -1, -4],\n [2, -1, 3, 3],\n [-4, -4, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-1, 2, 2, 2],\n [2, -4, 0, 0],\n [2, 0, -3, 3],\n [2, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 3, 3],\n [3, -3, -3, 2],\n [3, 3, -2, 3],\n [2, 2, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, -2, 2, -1],\n [-2, 4, 2, -2],\n [2, 2, 1, -4],\n [-1, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1600", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, 0, 0, -1],\n [0, 0, -3, 0],\n [0, -3, -4, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -1, 4],\n [1, -4, 1, -3],\n [4, 3, 4, 2],\n [-4, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-260", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0, -1],\n [2, -3, 0, 0],\n [0, 0, -3, 2],\n [-1, 0, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-3, 2, -2, -3],\n [2, -1, 0, 1],\n [-2, 0, 2, 0],\n [-3, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, 4, 1, 2],\n [4, -3, -2, 0],\n [1, -2, -3, 2],\n [2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, -1],\n [0, -4, 0, -2],\n [0, 0, 4, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "540", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, -4, -4],\n [3, 0, -4, -3],\n [-4, -2, 3, 3],\n [-3, -3, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15413", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[0, 0, 4, 2],\n [0, -2, 0, 3],\n [4, 0, 0, -4],\n [2, 3, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "396", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, 2],\n [0, 2, 2, 1],\n [0, 2, -3, -1],\n [2, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, -2, -3],\n [0, 1, 0, 2],\n [-2, 0, -3, -3],\n [-3, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1013", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 0, -2, 3],\n [-3, 4, -1, -1],\n [-4, -4, 4, -2],\n [-4, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[2, -2, 4, 0],\n [-2, 2, 0, 0],\n [4, 0, 1, 1],\n [0, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 2, 4, -4],\n [-1, 1, 1, -1],\n [1, 3, 4, 0],\n [3, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "932", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, -2, 1],\n [2, 3, 3, 0],\n [-4, -3, 0, 2],\n [0, -1, 4, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-259", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -2, 2],\n [-3, -1, -3, 4],\n [-1, 1, 2, 4],\n [3, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "495", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, -1],\n [2, -3, 3, 1],\n [-4, -1, 3, -4],\n [-1, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 2, -3],\n [-2, -3, 4, 2],\n [4, -2, 0, 2],\n [-1, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1029", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 0, -2],\n [-3, 3, 0, 2],\n [0, 0, -2, 4],\n [-2, 2, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1711", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 1, 4],\n [0, 3, 2, 2],\n [1, 2, 3, 0],\n [4, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "507", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 2, 1],\n [-2, 0, 2, -2],\n [2, 2, 3, 1],\n [1, -2, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -4, -4],\n [0, 2, 0, 4],\n [-2, -2, 3, 4],\n [-3, -2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 3, 0, 0],\n [3, 1, 0, 0],\n [0, 0, 3, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, -2, -2, 2],\n [-2, -2, 1, 4],\n [-2, 1, 0, -2],\n [2, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1414", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 2],\n [0, 4, -2, 0],\n [0, -2, -3, -3],\n [2, 0, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 0, 0],\n [-1, -1, -1, 3],\n [0, -1, -1, 4],\n [0, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4084", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -3, 1, 1],\n [1, 4, -3, 3],\n [-4, -3, -3, 2],\n [-2, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2216", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-4, -2, 2, 0],\n [-2, 4, 1, -2],\n [2, 1, 2, -4],\n [0, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "797", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 3, 2],\n [0, 2, 0, -3],\n [3, 0, 3, -2],\n [2, -3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "640", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, 2, 1],\n [2, -3, 2, 1],\n [2, 2, 0, 4],\n [1, 1, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "661", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, 2, 1, 0],\n [2, 0, 4, 0],\n [1, 4, -1, 2],\n [0, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "301", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, -3, 0],\n [1, -1, 0, 0],\n [2, 0, -1, 4],\n [1, -1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "322", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 2, 2],\n [1, -4, -4, 0],\n [-4, -2, -3, 2],\n [-3, 3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1441", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-1, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, 3, 3],\n [0, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, 2, 1],\n [1, 2, 2, 0],\n [2, 2, 1, -2],\n [1, 0, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1761", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 4, -2],\n [-2, -3, 1, -3],\n [4, -1, 4, 1],\n [4, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, 3, 1],\n [2, 2, 2, 0],\n [3, 2, 4, 0],\n [1, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1557", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -4, 1],\n [1, 0, 4, -4],\n [-3, -1, 3, 1],\n [-1, -4, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, -4, 2],\n [1, -2, -1, -4],\n [2, -2, -4, -2],\n [-4, 4, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 1, -2],\n [0, -1, 0, 2],\n [1, 0, 1, -2],\n [-2, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 0, -2],\n [-1, 2, 0, 0],\n [0, 0, -2, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, 3, -3, 3],\n [0, 3, 3, 2],\n [-1, -4, -3, -1],\n [4, 4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -4, 1],\n [-4, -1, -1, -3],\n [2, 2, -3, -2],\n [-4, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-548", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, 1, 1],\n [-1, 1, 3, -3],\n [4, 2, -1, 2],\n [-4, 3, -1, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, 1, 3],\n [1, -4, 0, 1],\n [1, 0, 0, 0],\n [3, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1114", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, 0, -3, 3],\n [0, 0, 1, 3],\n [1, 0, 2, 4],\n [-1, -3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -2, 3],\n [-3, 0, -1, -2],\n [0, 3, 1, 4],\n [3, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3038", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, 4, -4],\n [-3, -4, 0, 3],\n [3, -2, -2, -4],\n [2, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2934", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 1],\n [0, -3, 3, 0],\n [-2, 3, -1, 0],\n [1, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3705", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -3, -1, -4],\n [0, 0, 2, -1],\n [-1, 1, 4, 3],\n [-4, -3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6914", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 3],\n [4, 2, 1, 3],\n [4, -3, 1, -1],\n [-2, -4, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2754", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, 0],\n [0, -1, 4, -2],\n [0, 4, 1, 3],\n [0, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9442", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 2, -4],\n [0, 4, 3, -3],\n [4, 3, 1, 1],\n [1, 2, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1967", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, -1, -1],\n [-1, -2, 0, 2],\n [-1, 3, 4, 3],\n [2, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 2, 3],\n [-2, 0, 3, 4],\n [2, 3, -1, 0],\n [3, 4, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "810", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, -1, 4, -4],\n [3, 0, 1, -3],\n [-1, 2, 2, 3],\n [-1, 1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 4, 0, 1],\n [3, 2, -4, -4],\n [1, 0, -2, 4],\n [4, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -4, -3, 0],\n [-4, -1, 0, -1],\n [-3, 0, -1, -2],\n [0, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, 2, 0],\n [1, 3, -1, -2],\n [2, -1, -2, -4],\n [0, -2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1239", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 0, -4],\n [-1, -3, 1, 0],\n [0, 1, -3, 0],\n [-4, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "651", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, -2, 3],\n [-4, 1, 4, 4],\n [0, 3, 2, 4],\n [1, 2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2435", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 1, -3, 0],\n [-2, 4, 4, -3],\n [2, -3, 3, -3],\n [-2, -3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5293", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, -3, 1],\n [3, -1, -2, -3],\n [-4, 0, 3, 3],\n [-4, -1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -4, -4],\n [-4, 2, 1, 2],\n [3, -3, -3, 1],\n [-3, 1, 3, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, 3, -3, 4],\n [-2, -4, 2, -2],\n [3, 0, 2, 2],\n [-3, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -4, -1],\n [-2, 0, 4, 2],\n [2, -2, -4, -3],\n [2, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2, 4],\n [1, 2, -2, 1],\n [0, 4, -2, -1],\n [-1, -3, 4, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 3],\n [-2, 0, 0, -2],\n [0, 0, 0, -2],\n [3, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, -2],\n [-2, 4, 0, 0],\n [0, 0, 2, 0],\n [-2, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "427", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 1, 4],\n [0, 3, -4, 1],\n [3, 3, -4, 0],\n [-3, 2, -3, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, -3, 1],\n [1, 3, 2, -3],\n [-2, 4, -3, 0],\n [-2, 4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, -3, -2],\n [0, -1, -3, -2],\n [-3, -1, -3, 4],\n [3, -4, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1041", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -2, 4],\n [-1, 0, 0, 0],\n [-2, 0, -4, 0],\n [4, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1325", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[2, 1, 2, 1],\n [1, 1, -2, -1],\n [2, -2, -2, 0],\n [1, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[0, -3, 2, 3],\n [-3, 0, 0, 0],\n [2, 0, -4, 2],\n [3, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 0, -2, -2],\n [0, 4, 0, 1],\n [-2, 0, -4, 0],\n [-2, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -4, -1],\n [1, 0, 2, 1],\n [-4, 2, 2, -2],\n [-1, 1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "813", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-4, 0, 1, 0],\n [0, 3, 0, -1],\n [1, 0, -4, -2],\n [0, -1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -2, 0, -1],\n [3, -2, 3, 0],\n [0, 2, 2, 3],\n [2, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, 2, 1],\n [0, 2, -4, 4],\n [3, -2, 2, 1],\n [4, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "310", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 2],\n [0, 4, 0, 2],\n [0, 0, -2, 2],\n [2, 2, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "587", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, 1, 4],\n [3, 2, 2, -3],\n [3, 1, 2, -1],\n [-2, 0, 4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8652", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 1, -2],\n [2, 3, 0, 2],\n [1, 0, -1, 0],\n [-2, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1407", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, 2, 2, 3],\n [2, 3, -2, 0],\n [2, -2, -1, -1],\n [3, 0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 1, 0],\n [2, -1, -2, -1],\n [1, -2, -3, -2],\n [0, -1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "754", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-1, 2, -4, -1],\n [-3, -2, 0, 3],\n [-4, 0, 1, -1],\n [-2, 3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -4, 0],\n [2, -1, 2, 1],\n [-4, 2, 1, -4],\n [0, 1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1498", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 2, -2, -2],\n [2, 2, -2, -2],\n [-2, -2, 2, 1],\n [-2, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5770", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, -2, -1],\n [2, 1, 1, -1],\n [-2, 1, 4, -4],\n [-1, -1, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "797", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 3, 2, 0],\n [3, 2, 0, 1],\n [2, 0, -4, 2],\n [0, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5892", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[0, 0, -3, 3],\n [0, -1, -3, -1],\n [-3, -3, 1, 2],\n [3, -1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-1, 1, 2, 0],\n [-3, -2, 1, 0],\n [3, 2, 4, 1],\n [-3, -2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -1, 1, 4],\n [1, 4, 4, -4],\n [2, 1, 2, 2],\n [1, 2, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 0, 0],\n [-2, -4, 0, -2],\n [0, 0, 4, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5136", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, -2, 3, 0],\n [0, 0, 0, 2],\n [2, -4, -4, 4],\n [-4, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, -1, -2],\n [1, 1, 2, -2],\n [1, 2, -3, -2],\n [0, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "466", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 0, 0, -2],\n [0, 0, 3, 2],\n [0, -2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, 0, 0, -4],\n [3, -1, 3, -4],\n [0, 1, -1, 0],\n [-2, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 3, -1],\n [1, -1, 3, -1],\n [1, 4, -3, 4],\n [3, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, -2, -1, -1],\n [-3, -1, 3, 3],\n [4, 3, -4, -2],\n [2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -3, -2],\n [0, -2, -2, 0],\n [-3, -2, -4, -2],\n [-2, 0, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1252", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, -3, -1],\n [2, 3, 2, -3],\n [-3, 2, 4, 3],\n [-1, -3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2020", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -4, 4, -3],\n [0, 1, -1, -2],\n [0, -2, 4, -1],\n [-4, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1257", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[1, -3, 4, 1],\n [-2, 3, 3, -4],\n [-4, -4, -3, 1],\n [-2, 0, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -3, -4],\n [-3, -1, 4, -3],\n [3, 3, 1, 0],\n [3, -4, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1131", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -3, 3, -1],\n [2, -3, 1, 1],\n [-1, -3, 4, 1],\n [-4, 3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1066", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -2, 2, -1],\n [-1, -3, -4, 4],\n [1, -2, 0, 2],\n [3, -3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2474", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 2],\n [-1, 2, 0, 0],\n [0, 0, -3, 0],\n [2, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[1, 1, 2, 0],\n [1, 2, 0, -4],\n [2, 0, -2, -2],\n [0, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, -3, -3, 4],\n [-1, 4, 1, -1],\n [0, -4, 4, 4],\n [2, 4, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, -1, 3],\n [1, 0, -4, -2],\n [-1, 1, 2, -3],\n [1, -2, 3, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, -2, -2],\n [0, 3, 0, 2],\n [-2, 0, 2, 2],\n [-2, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2630", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, 2, -1],\n [-2, -3, 4, -1],\n [1, -3, 0, 1],\n [-2, 0, 3, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, -3, -2],\n [-1, 0, -2, -1],\n [-3, -2, 2, 0],\n [-2, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4346", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, 4, -1],\n [4, -3, -4, -1],\n [-2, -1, 1, 0],\n [4, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, 0, -2],\n [3, 4, 0, 0],\n [0, 2, 1, -3],\n [2, 4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -3, -4],\n [-3, 2, -4, -2],\n [-3, -1, 0, 0],\n [1, 3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -1, 3],\n [0, -3, 2, 1],\n [-1, 2, 3, -1],\n [3, 1, -1, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 4, -3],\n [2, -3, -1, 1],\n [1, -1, 4, -3],\n [1, 2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "308", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, 3, -4],\n [1, -2, 4, 2],\n [3, 0, 4, 1],\n [1, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4252", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 4, 0, 3],\n [4, 2, 0, 2],\n [0, 0, -1, 2],\n [3, 2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "559", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 3, -2, -4],\n [-1, 0, 0, 3],\n [1, -2, -2, 4],\n [-2, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-484", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, 1, 1, -3],\n [1, -1, 1, 2],\n [1, 1, 1, 0],\n [-3, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "256", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-4, 1, -2, 0],\n [1, 0, 2, 0],\n [-2, 2, -4, 1],\n [0, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "920", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, 0, 0],\n [-2, 3, 2, 0],\n [0, 2, 3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "466", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -2, -2],\n [2, 1, 0, 0],\n [-2, 0, 4, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2693", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 1, 0],\n [0, 3, 0, 2],\n [1, 0, -2, 2],\n [0, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 1, 1, 3],\n [1, -3, 0, 2],\n [1, 0, -3, 2],\n [3, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 1, 0],\n [0, -1, -2, 0],\n [1, -2, 2, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, -2],\n [-2, 0, -1, -1],\n [0, -1, -4, 0],\n [-2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-480", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 2, 2],\n [0, 4, 0, -2],\n [2, 0, 1, 3],\n [2, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[2, 4, -1, 3],\n [0, 1, 2, -3],\n [3, 3, -4, 0],\n [4, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[3, -1, 0, 0],\n [0, 3, -4, 3],\n [-1, -4, -3, 1],\n [-1, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1254", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, -4, -2],\n [3, 4, 0, 1],\n [3, -3, -4, 4],\n [3, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7332", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-3, 1, 4, 1],\n [0, 2, 4, -3],\n [-1, -2, -2, 3],\n [-4, 2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 2, 0],\n [-3, 4, 4, 4],\n [0, -3, -1, -3],\n [3, -4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 4, 2, -4],\n [3, -1, -4, -2],\n [1, -4, -3, 4],\n [3, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7260", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -2, 3, -3],\n [-4, 0, -2, 1],\n [-3, -1, 4, -4],\n [-3, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2708", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -2, -1],\n [0, 4, 0, 0],\n [-2, 0, 2, 0],\n [-1, 0, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "382", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, -4, 2],\n [-4, 0, 0, 3],\n [-2, -4, -1, 1],\n [-4, 0, -4, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, 3, 4],\n [3, 1, -4, 2],\n [1, 0, 3, -2],\n [1, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3998", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[3, 2, 1, 3],\n [-1, -4, -2, -2],\n [1, -2, -1, -1],\n [2, 4, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-3, 0, -4, 4],\n [0, 3, -4, -4],\n [-4, -4, 1, 2],\n [4, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, -3],\n [-2, -1, 2, -1],\n [0, 2, 1, 0],\n [-3, -1, 0, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, -2, -3],\n [-2, -1, -3, -2],\n [-4, 1, -2, -3],\n [0, -1, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "856", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, 2, -2, 0],\n [2, 0, 0, 4],\n [-2, 0, -2, 0],\n [0, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[3, 1, -1, 0],\n [1, 2, 2, 2],\n [-1, 2, 3, -2],\n [0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -2, 4, 3],\n [2, 1, 1, 4],\n [1, 0, -3, -1],\n [0, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2428", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 4, -4],\n [2, 4, -3, -1],\n [-1, -4, 3, 2],\n [4, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1933", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -3, 0, 0],\n [-3, 1, 0, 2],\n [0, 0, 3, 0],\n [0, 2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "849", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-1, 4, -3, 4],\n [3, 4, 2, 3],\n [2, 3, 1, -1],\n [-4, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "971", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[3, -3, 0, -2],\n [-1, -4, -2, -1],\n [-2, -2, -1, 3],\n [3, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 3, -2],\n [-2, -1, 1, 0],\n [1, 1, -3, 1],\n [3, 3, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, 2, 0, 2],\n [2, 2, 0, -2],\n [0, 0, 0, 0],\n [2, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -1, -1],\n [-2, 1, 0, 0],\n [-1, 0, 4, -2],\n [-1, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-303", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, 1, 2],\n [1, -4, 0, 0],\n [1, 0, 3, 0],\n [2, 0, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "547", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 3, -4, 2],\n [-1, -1, -4, 4],\n [-3, 1, 1, 2],\n [4, -4, -2, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, -1, -2],\n [2, 0, 2, -2],\n [-1, 2, 2, 4],\n [-2, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4085", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0, 4],\n [1, -2, -4, -1],\n [2, -2, 4, 2],\n [-3, -4, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-398", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 3, 2],\n [1, -2, 0, 0],\n [3, 0, -3, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4862", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 1, 0],\n [0, 3, 2, 0],\n [1, 2, -2, -2],\n [0, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "337", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -3, -3],\n [2, 4, 2, 0],\n [-3, 2, -2, -2],\n [-3, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-922", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 2, -3],\n [-2, -4, 0, 1],\n [0, 1, 2, -4],\n [1, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-428", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -4, 4, 2],\n [-3, -2, 1, -1],\n [-4, 3, 4, 4],\n [2, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3308", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, 4, -2],\n [-1, -2, 3, -1],\n [-4, -1, 1, -1],\n [-3, -1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -2, -2],\n [0, 1, -1, 2],\n [-2, -1, 4, 3],\n [-2, 2, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8696", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -3, 2],\n [1, -4, -3, -3],\n [2, -1, 3, -1],\n [0, 3, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 3, -4],\n [-3, 2, -2, 0],\n [1, 3, 0, -2],\n [2, 2, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, 0, 0],\n [-4, -4, 0, -2],\n [0, 0, -3, -2],\n [0, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1362", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[2, -2, 3, 2],\n [1, -4, 0, -4],\n [-4, 0, 1, 2],\n [2, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, -1, 0],\n [0, -1, 2, 0],\n [-1, 2, -2, 0],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 2, -2],\n [0, 0, 0, -4],\n [2, 0, -3, -2],\n [-2, -4, -2, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, -2, 3],\n [4, 4, 0, 3],\n [-4, -2, -4, 2],\n [-1, 4, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1177", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, 1, 1, 0],\n [1, -1, 0, 2],\n [1, 0, 2, 2],\n [0, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "772", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, -3, 0],\n [-3, 0, 0, 0],\n [-2, -3, 1, 1],\n [2, 1, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2946", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, -2, 0],\n [3, 2, 4, 2],\n [1, 0, -4, -3],\n [-3, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4706", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 4, -1, 4],\n [4, -2, -2, -1],\n [-1, -2, -3, 0],\n [4, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 0, 2],\n [-1, 1, 0, 0],\n [0, 0, 2, 0],\n [2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1125", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -4, 3],\n [2, 3, 4, -3],\n [-4, 2, 0, 1],\n [4, -1, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-3, -4, 4, 2],\n [4, 0, 3, -4],\n [4, 1, 3, 2],\n [-1, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "236", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 2, -3],\n [-4, 4, -3, 3],\n [0, -4, -3, -3],\n [0, -3, 3, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-2, -4, -4, 0],\n [3, -2, -1, 1],\n [4, -2, -4, -4],\n [1, -3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2, 3],\n [0, -4, 0, -1],\n [-2, 0, 0, 3],\n [3, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "696", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -1, 2],\n [2, -1, 1, 1],\n [-1, -1, 3, 2],\n [1, -2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, -3, 0],\n [-1, -2, 0, 1],\n [-3, 0, 4, 2],\n [0, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 0, 2, -2],\n [0, 4, -2, -2],\n [2, -2, 1, 0],\n [-2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, -2, 1],\n [-2, 1, 0, 3],\n [-2, 0, -1, 0],\n [1, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 0, -2],\n [-1, 3, -3, -4],\n [0, -3, -1, 2],\n [-2, -4, 2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -2, -1],\n [-4, -1, -1, 1],\n [3, -3, -3, 3],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3346", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, -4, 1],\n [1, 1, -2, -2],\n [-3, 0, 2, -4],\n [0, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -4, 0, -2],\n [1, -1, -2, 1],\n [4, 3, 3, 4],\n [-4, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 2, 3],\n [2, 3, 0, -2],\n [2, 0, -3, -2],\n [3, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13300", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, -1, -1],\n [2, -4, 2, 1],\n [-1, 2, -3, 3],\n [-1, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -2, 2],\n [2, 1, -2, 2],\n [-2, -2, 2, 4],\n [2, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5469", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -4, -4, 1],\n [-3, 3, 2, -2],\n [1, 4, 0, 3],\n [-3, 3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1753", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 4, 3],\n [-4, 2, 0, 4],\n [-1, -2, -3, 3],\n [-4, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1667", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, -1, 0],\n [0, -2, -2, -3],\n [-1, -2, 2, -2],\n [0, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1423", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 3, -3],\n [-2, 1, 0, 0],\n [3, 2, -2, 4],\n [1, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5430", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 2, -1],\n [-3, -2, -4, 4],\n [-1, 4, -2, -2],\n [-4, 2, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, -3, 4],\n [-2, -4, 4, -1],\n [0, -2, 0, 1],\n [-4, -3, -4, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 2, 2, 0],\n [-3, 4, -4, 4],\n [3, 4, 4, -2],\n [3, 2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8560", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 2, 1],\n [-3, -3, 3, -4],\n [-3, 1, -3, -4],\n [4, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-979", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[2, 0, 0, 4],\n [0, -3, 1, 1],\n [0, 1, 3, -1],\n [4, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, 2, 0],\n [4, -4, 0, 0],\n [2, 0, -4, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "835", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[0, 0, 4, 2],\n [3, 2, -4, 0],\n [-2, -4, 0, 4],\n [1, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, -1, 1],\n [4, 0, 2, -1],\n [-3, 4, -3, 3],\n [0, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14110", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 4, -4],\n [-4, -4, -4, -3],\n [-3, 2, 3, -1],\n [3, -2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "832", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 2, 2],\n [0, 0, -3, 4],\n [2, -3, -4, 1],\n [2, 4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 4, -2],\n [0, 0, -3, 2],\n [4, -3, -3, 1],\n [-2, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, -1],\n [0, 2, -4, 0],\n [2, -4, 4, 0],\n [-1, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7520", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 1, -2],\n [2, -1, -3, 3],\n [1, -3, 0, 0],\n [-2, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1017", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 1, 1],\n [4, -1, -3, 1],\n [-4, -2, 1, 1],\n [2, 4, 2, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -3, 2, 3],\n [3, -1, 1, -2],\n [1, -2, 4, 2],\n [1, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5017", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 2, -1, -1],\n [2, -3, -2, 0],\n [-1, -2, 4, -1],\n [-1, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3036", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 4, 2, -3],\n [-2, 3, 0, -4],\n [4, -4, 2, -1],\n [-2, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2645", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 2, -3],\n [-4, -1, -3, -3],\n [-4, -3, -1, -4],\n [0, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9931", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-3, -2, 0, -4],\n [-3, 1, 3, 0],\n [0, -3, 1, -4],\n [1, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, 0, -4],\n [2, 3, 0, 4],\n [0, 0, -2, -1],\n [-4, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10879", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 2, 0],\n [-2, -3, -4, -1],\n [2, -4, 2, 1],\n [0, -1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3419", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 0, 4],\n [-2, 3, -2, -2],\n [0, -2, 1, -2],\n [4, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "916", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, 3, 2, 0],\n [3, 1, 2, 0],\n [2, 2, -4, -4],\n [0, 0, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[0, 0, 0, 4],\n [0, 1, 4, -3],\n [1, -4, 2, -1],\n [0, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -2, -3],\n [0, -2, -2, 2],\n [-2, -2, 3, -2],\n [-3, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3542", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, 4, 0],\n [0, 1, 2, 2],\n [0, -3, 3, 3],\n [-3, 4, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-898", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 1, 4],\n [-1, 3, -2, 2],\n [1, -2, 0, -2],\n [4, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 1, 1],\n [0, -2, 2, 0],\n [1, 2, 3, -4],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1918", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, -3, -3],\n [0, 0, 2, -3],\n [-2, -2, -1, -4],\n [0, -4, 4, 4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 2, 0],\n [-2, 4, 3, 3],\n [-3, 2, 2, -2],\n [-1, 2, -1, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 0, -2],\n [1, 0, 2, 0],\n [0, 2, 1, -2],\n [-2, 0, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1259", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, -1, -4],\n [4, -2, 2, 3],\n [4, 2, -1, 2],\n [-3, 0, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5176", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 3, 0, -3],\n [-1, 1, 1, 0],\n [0, 4, 2, -4],\n [-3, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1742", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -4, -3, -1],\n [-4, -1, -4, -1],\n [-3, -2, 2, 0],\n [-2, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1048", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, 0, 2],\n [-4, -4, 3, -2],\n [1, -1, 2, -3],\n [3, 4, -1, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "561", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, -4, -2],\n [2, -4, -1, -2],\n [-4, -1, 3, 0],\n [-2, -2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3821", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 0, 0],\n [0, -2, 1, 2],\n [0, 1, -3, 3],\n [0, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1879", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, -1, -4],\n [-2, -3, 3, -3],\n [-2, 0, 0, 4],\n [0, -1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5030", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 0, -2],\n [1, 3, 1, 2],\n [0, 1, -1, 0],\n [-2, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[1, 0, 1, -4],\n [0, 3, 4, 3],\n [0, 4, 3, 0],\n [-1, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-3, 1, 0, -4],\n [1, 3, 0, 0],\n [0, 0, -3, 3],\n [-4, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 0, 1],\n [0, 1, -2, 0],\n [0, -2, 1, 0],\n [1, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 4, 2],\n [-3, -2, 1, 2],\n [-2, 3, -2, -1],\n [2, -4, -1, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 4, 1, 2],\n [-1, -2, 0, -2],\n [-4, 3, 4, 1],\n [1, 0, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "806", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, -4, 0],\n [3, 3, 0, 0],\n [-4, 0, 1, -1],\n [0, 0, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1580", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 3, -1, 0],\n [0, 0, 0, -4],\n [2, 1, -1, 1],\n [-1, -4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "567", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-2, 3, -2, -4],\n [3, -3, -1, -2],\n [-2, -1, 2, -2],\n [-4, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "856", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, -2, -3],\n [4, 3, 3, -2],\n [2, -4, -2, -4],\n [3, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3277", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, -1],\n [-2, 3, 2, 0],\n [0, 2, 4, 2],\n [-1, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "435", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 0, 2],\n [0, 2, -2, 2],\n [0, -2, 3, 2],\n [2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 0, -1],\n [2, -3, 3, 1],\n [4, -2, 1, 2],\n [3, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -4, 1, -3],\n [2, 4, -3, 1],\n [0, -2, 2, 0],\n [-1, -1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-283", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 4, 0],\n [-2, -3, 3, 2],\n [4, 3, -3, 2],\n [0, 2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2520", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -2, 4],\n [0, -4, 2, -3],\n [-2, -3, 4, 1],\n [3, 4, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1332", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, 4, -3],\n [0, 3, 4, -4],\n [-4, 1, 0, -2],\n [-3, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-910", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, 0, -2],\n [-3, 1, 3, 1],\n [-2, 0, 4, -1],\n [1, 0, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3158", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, 2, -1],\n [-4, 3, -3, 2],\n [0, 0, 3, -2],\n [0, -4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-3, 0, -1, 1],\n [0, -1, 3, -2],\n [-1, 3, 0, 0],\n [1, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, 2, 1],\n [-3, 1, 0, -4],\n [1, -3, 4, -1],\n [-1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2980", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 3, -3, 2],\n [0, -3, 4, 3],\n [-2, 3, 3, -1],\n [-4, -2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1749", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, -1, -1],\n [-4, 4, 2, 2],\n [-1, 2, 0, 0],\n [-1, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1660", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 0, 2],\n [3, -3, -2, 0],\n [0, -2, -2, 2],\n [2, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "778", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, -2],\n [0, 1, 0, 2],\n [-2, 0, -1, 1],\n [-2, 2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3278", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 1, -4, -4],\n [-4, 4, 4, -2],\n [1, -4, -1, 2],\n [-3, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2882", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, -4, 0],\n [2, 0, 0, -2],\n [-4, 0, -1, -2],\n [0, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2058", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 1, 0],\n [0, 1, 0, 2],\n [1, 0, 4, 2],\n [0, 2, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "592", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[4, 1, -4, 0],\n [0, -3, -2, -2],\n [-4, -3, 4, -2],\n [2, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 0, -3],\n [-4, 1, 4, -3],\n [-4, 4, 2, 3],\n [-2, -1, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8588", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 4, -3, 4],\n [-2, -4, -3, -2],\n [3, -2, 3, -1],\n [-3, -4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "946", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[1, -2, 0, 0],\n [-2, 4, 0, -3],\n [0, 0, 1, -1],\n [0, -3, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, -3, 3],\n [3, 3, -2, 3],\n [3, 1, -2, -3],\n [0, -3, 4, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-632", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[0, 1, 2, -1],\n [0, -2, 4, 3],\n [-2, -2, 1, -1],\n [-1, 4, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[4, 2, -4, 0],\n [4, 0, 2, 3],\n [-2, -3, 4, 4],\n [3, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-3, 0, 2, 4],\n [-1, -3, 3, -1],\n [3, -2, 3, -1],\n [-2, 2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, 0, -4, -4],\n [1, -1, 2, 0],\n [3, 1, 4, -3],\n [0, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 1, -4],\n [-3, -2, 3, -2],\n [3, 2, -1, 2],\n [-4, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, -1, 4],\n [3, 4, -1, -2],\n [0, 1, 0, -2],\n [-3, 1, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "643", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, -4, 0],\n [-4, 2, 2, -1],\n [2, 1, -1, 0],\n [0, 1, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2099", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 1, 0],\n [3, -2, 0, 0],\n [1, 0, 0, -2],\n [0, 0, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, 4, 0, 2],\n [4, -3, -2, 0],\n [0, -2, 0, 1],\n [2, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-2, -2, -2, 0],\n [-2, 4, 0, 0],\n [-2, 0, -4, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, -1, 4],\n [-2, 4, 1, 3],\n [2, -3, -1, 2],\n [-2, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1943", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 4, 2, -3],\n [0, 4, 4, 1],\n [-2, -4, -1, 2],\n [-1, 4, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1843", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 1, 0],\n [2, 2, -2, 3],\n [1, -2, -2, 2],\n [0, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "758", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -4, -1, -3],\n [-4, -2, -1, 4],\n [-1, -4, -1, 2],\n [-4, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-891", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, 1, 0],\n [-4, 0, 2, 3],\n [1, 2, 3, 0],\n [0, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, 3, 1, -3],\n [1, 3, 2, -3],\n [1, 2, -4, -1],\n [-3, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -4, 1],\n [1, 0, 2, 2],\n [-4, 2, 1, -1],\n [1, 2, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "972", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 2],\n [0, 3, 0, 1],\n [0, 0, -2, 0],\n [2, 1, 0, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 2, 0, -4],\n [2, -2, 2, -2],\n [0, 2, -2, -2],\n [-4, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1568", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 1, -2],\n [1, -4, -1, 0],\n [1, -1, -3, 3],\n [-2, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "471", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -1, -3],\n [-3, -2, 1, -1],\n [3, 1, 0, 2],\n [0, 1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, 0, -2, 0],\n [0, 1, 0, 2],\n [-2, 0, 2, -2],\n [0, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -4, 3, -2],\n [4, -2, 4, -3],\n [-2, -2, -3, -4],\n [-4, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2854", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, 4, 0, 1],\n [-1, -1, -1, 2],\n [-4, -3, 4, 3],\n [3, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -3, 2],\n [-4, 0, -2, -1],\n [-2, 0, 4, 2],\n [1, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -1, 0],\n [4, 2, 0, -2],\n [-4, -4, -4, 3],\n [3, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "805", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-3, -2, 1, 2],\n [-2, 4, 0, -2],\n [1, 0, 4, -2],\n [2, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 1, 3, 0],\n [1, -2, 1, 0],\n [3, 1, 4, -1],\n [0, 0, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6060", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 2, 2],\n [2, -3, -1, 3],\n [2, -1, 4, -2],\n [2, 3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "911", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -3, -3],\n [3, 2, -1, -2],\n [0, 0, -3, -1],\n [-3, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4408", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 0, 4, -2],\n [0, -4, -2, 2],\n [4, -2, 3, -1],\n [-2, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-559", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[3, -2, 0, 2],\n [-2, 0, -1, 0],\n [0, -1, -4, -2],\n [2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 0, 2],\n [-1, -4, 2, 0],\n [0, 2, -1, 0],\n [2, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 4, -2, 2],\n [0, 4, 1, 3],\n [-2, -2, -4, -2],\n [-1, 3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[1, 0, -2, 0],\n [0, -4, -1, -3],\n [-2, -1, 4, -2],\n [0, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -3, 0],\n [4, 0, 1, 1],\n [1, -1, 1, -4],\n [3, 4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4576", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, 3, 0],\n [2, 2, 2, 2],\n [3, 2, -3, 2],\n [0, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8693", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, 2, -2],\n [4, -4, 2, -1],\n [2, 2, 3, 2],\n [-2, -1, 2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-836", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, 2, 1, 2],\n [3, -4, 3, 2],\n [1, -4, 4, 2],\n [4, 3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, 1, 1],\n [-1, -2, -4, 0],\n [-2, -3, 2, -3],\n [-2, 2, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3499", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 2, -2],\n [-2, 1, -4, 2],\n [-3, -2, 2, 2],\n [-2, -4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 1, -2],\n [-2, -1, 2, 2],\n [1, 2, -4, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 2, 0],\n [-2, -3, -2, 2],\n [2, -2, -4, 0],\n [0, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-207", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -3],\n [1, -4, -4, -1],\n [2, 4, 3, 2],\n [3, 3, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4568", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -4, 1, -4],\n [-4, -2, -3, -2],\n [1, -3, 0, 0],\n [-4, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-863", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -2, 1],\n [0, 0, 4, 0],\n [-2, 4, -3, 1],\n [1, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "459", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 1, 1],\n [-2, 3, -3, -4],\n [1, -2, 4, 4],\n [4, 0, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, 3, 2, 3],\n [4, -4, 2, 4],\n [0, -3, 0, 2],\n [3, 1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, -1, -4],\n [3, 4, -4, 2],\n [-3, 0, -3, 2],\n [-2, 1, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "903", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 2, 1],\n [2, 0, -3, 0],\n [2, -3, -3, -2],\n [1, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1438", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -4, -3],\n [-3, -4, -3, -1],\n [4, 3, 1, -3],\n [-2, 3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "878", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 0, -1],\n [-2, 2, 3, -2],\n [-4, 0, 4, -3],\n [-3, 3, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-3, -2, 0, 0],\n [-2, -3, -2, -2],\n [0, -2, -4, -4],\n [0, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "712", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 2, 4],\n [0, 3, -2, -1],\n [2, -2, -1, -2],\n [4, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1312", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, 0, -2],\n [-1, 2, 1, -1],\n [0, 1, -1, 0],\n [-2, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1372", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 1, -2],\n [0, 1, -1, 1],\n [2, 0, 0, -2],\n [-2, -3, -4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, -3, 4],\n [0, -4, 3, -2],\n [2, 2, 2, -4],\n [2, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8491", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, -3, 3],\n [-4, 0, -1, -3],\n [3, 1, 3, 1],\n [-4, 2, -3, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "720", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 4],\n [-2, -3, 0, -4],\n [2, 0, -3, 0],\n [4, -4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12410", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 2, 1],\n [0, -3, 4, 2],\n [3, -2, 4, -2],\n [2, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2946", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 2, 0],\n [3, -4, -1, 1],\n [2, -1, -1, 2],\n [0, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5836", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -3, 4],\n [-4, -1, 4, -4],\n [-1, -4, 1, -1],\n [1, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -1, 2, -4],\n [4, 1, 0, -2],\n [-4, 0, -2, 3],\n [2, 4, 0, 4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 4, -2],\n [2, -3, -3, -4],\n [4, -3, -3, 0],\n [-2, -4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2853", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, 1, 0],\n [-1, 1, 1, 0],\n [-2, -1, -1, -1],\n [2, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, 0],\n [0, 4, -2, 2],\n [2, -2, -1, -1],\n [0, 2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 4, 3, 0],\n [0, 3, -3, 4],\n [-1, -2, 4, 3],\n [1, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "218", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, 4, -3],\n [-2, -1, -2, 2],\n [-3, 0, -2, 2],\n [-4, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-773", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[3, 2, 2, 0],\n [2, 3, 2, -2],\n [2, 2, 1, 2],\n [0, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 4, 4, -4],\n [0, -1, -2, -3],\n [2, -4, -2, -3],\n [0, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-922", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, -2, 0],\n [0, -3, 3, 2],\n [-2, 3, 1, 4],\n [0, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2629", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0, -3],\n [2, 2, 4, 3],\n [1, 4, -1, -3],\n [4, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "792", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, 0, 4],\n [1, -1, 1, 2],\n [4, -4, -3, -3],\n [-3, -3, 0, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -1],\n [0, -1, 4, 0],\n [-4, -1, 0, -1],\n [3, 0, -2, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -4, 0, -4],\n [-4, -4, -2, 0],\n [0, -2, -2, 2],\n [-4, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2296", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -1, 0],\n [1, 4, 1, 2],\n [-1, 1, -1, -2],\n [0, 2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "522", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -1, 2],\n [0, -2, 2, 0],\n [-1, 2, 4, 0],\n [2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "469", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, -1, -2, 0],\n [-1, -2, 0, 2],\n [-2, 0, -1, 2],\n [0, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 0, 2],\n [0, -4, -2, -2],\n [0, -2, 1, -2],\n [2, -2, -2, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "948", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, 0, 0],\n [-2, -1, -4, 2],\n [0, -4, 4, -2],\n [0, 2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "462", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -1, -2, -3],\n [-1, 1, 0, 0],\n [-2, 0, -4, 1],\n [-3, 0, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-700", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, -2, 0, -4],\n [-4, -3, 3, -1],\n [3, -4, 3, 4],\n [-1, -3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -3, 3, -4],\n [1, -1, -2, 2],\n [3, 4, -2, 2],\n [2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 0, 2],\n [-4, 2, -2, 0],\n [0, -2, 4, 1],\n [2, 0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 1, -3, -3],\n [2, 4, 1, -1],\n [2, -3, 2, 2],\n [2, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2879", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -1, 0, 4],\n [-1, -3, -2, -2],\n [0, -2, 0, 4],\n [4, -2, 4, -1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "224", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, -3, 2],\n [0, -4, 4, 2],\n [-4, 4, 2, -3],\n [2, -3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -3, -1],\n [2, 3, -1, 0],\n [-3, -1, -1, 2],\n [-1, 0, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, -1, 0],\n [1, -3, 4, -2],\n [-3, 4, 4, -1],\n [-3, 3, 4, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, -1, 2],\n [2, 3, 4, -1],\n [-1, 4, 0, -1],\n [2, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "804", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, -2, 4, -2],\n [-4, 2, 4, 3],\n [3, 0, -1, 1],\n [-4, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1084", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, -2, 3],\n [-2, -3, 1, 3],\n [-2, 1, 1, 4],\n [3, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1775", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, 0, 0],\n [2, -2, 0, 0],\n [0, 0, -3, 2],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 4, 4, -3],\n [-3, -2, -1, -3],\n [0, -3, -4, 2],\n [-3, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1544", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 3, 4],\n [-3, 1, -3, 1],\n [-4, 3, -3, -1],\n [0, -1, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1021", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, -2, 0, 2],\n [-2, -2, -4, 2],\n [0, -4, -2, 0],\n [2, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "992", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -3, 1],\n [-2, -2, 0, -2],\n [-3, 0, -1, -2],\n [1, -2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "640", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-2, 0, -2, -1],\n [0, -2, -4, 2],\n [-2, -4, 0, 0],\n [-1, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 1, -2, -1],\n [1, -3, 2, 2],\n [-2, 2, 3, 0],\n [-1, 2, 0, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[3, 2, -2, 1],\n [2, 3, 2, -2],\n [-2, 2, -4, -3],\n [1, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -2, -2],\n [-3, 4, 1, 0],\n [-1, 1, 3, -4],\n [0, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "715", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, 3, -4, 4],\n [0, -4, -1, -2],\n [2, 0, 1, -4],\n [-1, -3, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 1, 0],\n [2, -1, 0, -2],\n [1, 0, -3, -1],\n [0, -2, -1, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 2, -3],\n [-4, 2, 4, 4],\n [2, 3, 1, 0],\n [-4, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, 4, 3],\n [-3, -2, -4, 2],\n [4, 2, 0, -2],\n [4, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "303", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, 3, -2],\n [1, -1, -1, -2],\n [3, -1, -2, 0],\n [-2, -2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -1, -3],\n [1, 4, 1, 2],\n [-4, 3, -3, 4],\n [-1, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 2, -1],\n [2, 1, 1, -2],\n [2, 1, -3, 0],\n [-1, -2, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "574", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 2, 4],\n [3, -4, -2, -4],\n [-4, 0, 1, -3],\n [-4, 4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2548", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 0, -2],\n [2, 0, 2, 0],\n [0, 2, 2, 1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "683", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 3],\n [-1, -2, -1, -1],\n [-2, 4, 3, 3],\n [0, -4, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2188", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -3, -2, -3],\n [-3, 1, 2, -2],\n [-2, 2, -1, 0],\n [-3, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2621", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-3, -2, 1, 4],\n [-4, -2, -1, -2],\n [-3, 2, 3, 1],\n [-2, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 1, -3],\n [-3, 2, -4, 3],\n [4, 3, 0, -1],\n [3, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8984", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, 4, -3],\n [0, -3, -4, -1],\n [4, -2, 2, -1],\n [2, 1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[3, 2, 1, -3],\n [1, -1, -3, 1],\n [-1, -2, -3, 0],\n [-3, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 1, 4],\n [-3, 2, 0, -3],\n [-4, 2, -1, 2],\n [-1, 1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "824", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, 0, 1, 2],\n [0, -3, 0, 2],\n [1, 0, -1, 1],\n [2, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -3, 4],\n [3, 3, 3, 4],\n [1, 0, -4, 3],\n [-2, -2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "574", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2, -2],\n [-1, -4, 1, 3],\n [0, -4, -4, -3],\n [0, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, -1, 0],\n [0, 2, 1, 2],\n [-1, 1, -4, -1],\n [0, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, -1, -3, -1],\n [2, 1, 2, 4],\n [1, -1, 0, -4],\n [4, 3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 0],\n [-2, 2, -1, -4],\n [0, -1, 4, 4],\n [0, -4, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 0, -2, -1],\n [-4, 4, -1, 3],\n [-3, -3, -4, -4],\n [-2, 4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, 2, 0, -3],\n [2, 1, 0, -2],\n [0, 0, -3, -2],\n [-3, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "489", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 1, -2, -2],\n [1, -1, 0, -3],\n [-2, 0, 3, 0],\n [-2, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -2, 4, 2],\n [-2, 4, 4, 1],\n [4, 4, -3, 4],\n [2, 1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18210", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[2, 0, 2, 0],\n [0, -2, -2, 2],\n [2, -2, 1, 0],\n [0, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, 2, 2],\n [4, 2, -3, -3],\n [-4, 4, -2, -2],\n [-4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "900", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 1, 0, 2],\n [1, -1, -3, 0],\n [0, -3, -3, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 3, -1, -3],\n [-4, 4, 2, 0],\n [4, -1, -4, -1],\n [3, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1195", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-4, 0, 0, -2],\n [0, -2, -2, 0],\n [0, -2, 1, 2],\n [-2, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 3, 1],\n [-3, 4, 3, -4],\n [2, 1, 2, -3],\n [4, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7650", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 3, -3, 1],\n [1, -1, -4, 1],\n [0, 4, -3, 3],\n [-3, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 2, 0],\n [0, -4, 1, -3],\n [2, 1, -4, 0],\n [0, -3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1681", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 3, 0, 2],\n [1, -1, -2, 1],\n [-1, 2, -3, 3],\n [-2, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1893", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -3, 1],\n [-2, 1, 2, 4],\n [-4, -2, -4, -2],\n [-3, 2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-516", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[0, 0, 0, -2],\n [0, 1, 2, 0],\n [0, 2, 0, 4],\n [-2, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 2, 4, 1],\n [-3, -4, 1, 2],\n [-4, 3, 0, 3],\n [-1, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 4, -2],\n [0, -1, 2, 2],\n [4, 2, -3, 4],\n [-2, 2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24663", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, -4, 2, -3],\n [-3, 4, 0, 3],\n [0, -2, -2, 3],\n [4, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, -2, 2],\n [-2, 2, -2, 1],\n [-2, -2, 3, 0],\n [2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -2, -2],\n [0, 2, 2, -2],\n [-2, 2, 0, 0],\n [-2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3490", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[0, 0, -2, 2],\n [0, -3, 1, 2],\n [-2, 1, 3, -1],\n [2, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, 2],\n [0, -2, 0, 0],\n [2, 0, -3, 2],\n [2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "523", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 1, 1],\n [0, -1, 0, 2],\n [1, 0, -1, -3],\n [1, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 3, 1],\n [-3, 4, 2, -4],\n [4, 2, -3, -1],\n [-4, 4, -2, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[1, -1, -2, 0],\n [-1, 2, 3, 0],\n [-2, 3, 2, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 0, -2],\n [2, -2, 0, 1],\n [0, 0, 2, -2],\n [-2, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, 0, 0],\n [0, -2, 2, 3],\n [1, -3, 0, 4],\n [2, -1, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "521", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, -2, 0],\n [0, -1, -2, 0],\n [-2, -2, -4, 3],\n [0, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "809", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -2, -2],\n [-2, -1, -2, 4],\n [-2, -2, -1, -1],\n [-2, 4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1109", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 3, -2],\n [0, -3, 0, -2],\n [3, 0, -3, 0],\n [-2, -2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1239", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 4, 4, 1],\n [-4, 2, -4, -4],\n [2, 2, 3, 2],\n [3, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 4, -2],\n [2, 4, 2, -1],\n [4, 2, 3, 0],\n [-2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11683", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, 0],\n [0, -4, -4, -2],\n [-1, -4, 0, -2],\n [2, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7183", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 0, -3],\n [-1, 2, 0, 3],\n [0, 2, 1, 2],\n [-4, -4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "666", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -4, 3, 4],\n [-1, 4, -3, 1],\n [1, 4, -3, 2],\n [-3, -2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "598", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 1, -1],\n [2, 1, 0, -1],\n [-2, 3, 1, 0],\n [1, -1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "717", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 3, -4, -4],\n [1, -2, -2, 2],\n [1, -2, -4, -3],\n [-1, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1371", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, 2, 0, 1],\n [2, -1, -2, 4],\n [0, -2, -2, 2],\n [1, 4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -2, -2],\n [-2, 1, 0, 0],\n [-2, 0, -4, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3346", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, 0, 3],\n [1, -1, 3, 0],\n [1, -1, 3, -4],\n [2, -4, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[1, 4, 0, -1],\n [4, 1, -1, -1],\n [0, -1, 3, 1],\n [-1, -1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-3, -4, -2, 2],\n [3, -4, 4, -1],\n [0, -1, -3, -1],\n [-2, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-278", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[3, 2, 1, -1],\n [2, 1, 0, -2],\n [1, 0, 3, 2],\n [-1, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[4, 0, -2, 0],\n [0, 4, 2, 2],\n [-2, 2, 4, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, 3, -3],\n [-4, -2, -2, 0],\n [3, -2, 3, -2],\n [-3, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4051", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 2, 4],\n [2, 3, 3, -3],\n [0, -3, -3, 4],\n [4, -1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-2, 2, 0, 0],\n [2, -4, -2, -2],\n [0, -2, 0, 1],\n [0, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1000", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[4, 0, 1, -4],\n [-3, 0, -1, -1],\n [0, -1, -2, 2],\n [-2, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-4, 0, -1, 2],\n [0, 0, -2, -2],\n [-1, -2, -3, -2],\n [2, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 1, 1],\n [-4, 1, -3, -1],\n [-3, 3, 1, -2],\n [-1, 0, -4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "432", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 3, 0, 2],\n [3, 0, 0, 0],\n [0, 0, -3, -3],\n [2, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -2, 2],\n [0, 2, -2, 0],\n [-2, -2, -2, 0],\n [2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -3, 0],\n [3, 3, -2, 2],\n [-3, -2, 1, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15089", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, -2, 0],\n [2, 2, -3, 2],\n [-2, -3, -3, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1893", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, -2],\n [0, 4, 0, 4],\n [0, 0, -2, -2],\n [-2, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16597", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 3, 0, 4],\n [2, -4, 4, 4],\n [-3, -1, 0, -2],\n [4, -1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -4, -4, -3],\n [-1, -4, 4, 2],\n [-3, 0, -4, 1],\n [1, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-341", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, 0, -4],\n [-3, 3, 0, 2],\n [0, 0, -4, -2],\n [-4, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1880", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, -4, -1],\n [-2, 4, -2, -1],\n [-4, 0, 4, 3],\n [-2, 1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2536", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 4, -2],\n [0, -1, 2, 4],\n [4, 2, 3, 3],\n [-2, 4, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1983", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 0, 2],\n [-2, -3, 0, 1],\n [0, 0, 4, 0],\n [2, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -2, 3],\n [0, -4, 0, 1],\n [-2, 0, 4, -3],\n [3, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 4, 0],\n [2, 2, -1, 2],\n [4, -1, -2, -3],\n [0, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 1, 4],\n [2, 2, 2, 4],\n [-4, -1, 0, -4],\n [1, -4, -4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2724", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, 0, -2],\n [-1, 3, -1, 1],\n [0, -1, -4, 0],\n [-2, 1, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1004", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, 1, 2, 2],\n [2, 3, 3, 1],\n [-2, 3, 1, -3],\n [3, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, 0],\n [0, 3, 2, 0],\n [0, 2, 3, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, -2, 0, -3],\n [-2, -1, 0, 0],\n [0, 0, 2, -4],\n [-3, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 0, 0],\n [1, -2, -3, 2],\n [0, -3, -2, 0],\n [0, 2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[0, -4, -4, -4],\n [3, -1, -2, 1],\n [0, 0, -1, 2],\n [4, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, -1, -2],\n [3, -4, 1, -1],\n [-1, 1, 0, 0],\n [-2, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "624", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[1, 0, 2, 1],\n [0, -2, 2, 2],\n [2, 2, -4, 2],\n [1, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -1, 1, 1],\n [1, -2, -1, 0],\n [4, -1, 1, -2],\n [2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1294", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, 0, -1],\n [-4, 1, 0, 1],\n [0, 0, -4, 3],\n [-1, 1, 3, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -1, 1, -1],\n [-1, -4, -2, 0],\n [1, -2, -4, -4],\n [-1, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1164", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[1, -4, -3, -1],\n [0, 0, 1, 0],\n [-3, 0, 2, 4],\n [3, 4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, -2],\n [-2, -3, 0, 1],\n [0, 0, -4, -1],\n [-2, 1, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3077", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 3, -4],\n [0, 2, 2, 0],\n [3, 2, 0, 4],\n [-4, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-3, 1, -1, -4],\n [1, -2, 0, 3],\n [-1, 0, 0, 2],\n [-4, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 2, -3],\n [2, -1, 4, 1],\n [-1, 1, -4, 0],\n [-3, 1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-916", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 4, 0],\n [2, 2, 3, -3],\n [1, -1, 2, -2],\n [-1, -1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-395", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 0, -3],\n [-2, -2, -2, 3],\n [0, -2, 0, 3],\n [-3, 3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "676", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 1, 0],\n [-1, -2, -4, -4],\n [1, -4, -3, 2],\n [0, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0, 0],\n [0, -4, 2, 3],\n [0, 2, -1, -3],\n [0, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1124", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, -3, 3],\n [0, -3, 0, -1],\n [-2, 1, 4, 1],\n [2, 4, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2, -3],\n [-4, -1, -1, -2],\n [0, 0, -2, -3],\n [4, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 3, 4, -3],\n [2, -2, 4, -1],\n [1, 3, -4, 3],\n [4, 3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "800", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 1, 3, 4],\n [2, -1, 0, 0],\n [-1, -1, 0, 1],\n [3, 2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2621", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -3, -2],\n [-2, 4, 0, -4],\n [-3, 0, -3, 2],\n [-2, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-381", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-3, -1, -1, -1],\n [-1, -4, -1, 0],\n [-1, -1, 0, 0],\n [-1, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 3],\n [0, -4, 2, 0],\n [0, 2, 3, 2],\n [3, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 2, -2, -2],\n [2, 4, -2, -2],\n [-2, -2, -4, 3],\n [-2, -2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 1, 2, 3],\n [1, 2, 0, 1],\n [2, 0, 4, 0],\n [3, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3655", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-4, -4, -4, 4],\n [-3, 3, 0, -4],\n [-1, -1, 4, -2],\n [1, 2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 3, 0],\n [1, 0, 3, 0],\n [3, 3, -2, -1],\n [0, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "448", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, -1, -1],\n [-2, -1, 2, 1],\n [-1, 2, 4, 0],\n [-1, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4965", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, -3, 3],\n [2, -1, 4, -2],\n [4, 3, 0, 3],\n [-2, 4, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4267", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, -2, -2],\n [1, -4, 0, 0],\n [-2, 0, -1, -4],\n [-2, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2895", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -4, 4],\n [-4, 2, 1, 2],\n [-1, 1, 2, 2],\n [2, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1651", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -1, 0, 1],\n [-1, -1, 0, -3],\n [0, 0, 0, 0],\n [1, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "660", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[0, 2, -3, -2],\n [2, 1, -3, 3],\n [-1, -3, -2, -2],\n [0, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "632", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 1],\n [0, -3, 1, 3],\n [0, 1, 4, -1],\n [1, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -4, -3, 0],\n [-4, -3, 0, -1],\n [-3, 0, 4, 2],\n [0, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1044", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, -1, 0],\n [4, 4, -1, -1],\n [-1, -1, 0, 2],\n [0, -1, 2, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, -2, -3, -3],\n [-4, -3, -3, 0],\n [0, 3, 1, -1],\n [-2, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1202", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[4, 4, -2, -2],\n [3, 3, -4, 0],\n [-4, 0, 3, 3],\n [1, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-199", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0, -2],\n [-2, -1, 0, 2],\n [0, 0, 1, 1],\n [-2, 2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, -4, 4, 1],\n [1, -1, -4, -4],\n [2, 4, -4, 1],\n [4, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, 0, 0],\n [-2, -1, 0, 0],\n [0, 0, 0, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, 2, 1, 2],\n [2, -3, -1, -2],\n [1, -1, 3, 4],\n [2, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -2, -2],\n [-2, -3, -3, 1],\n [-2, -3, -3, 2],\n [-2, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1403", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, -2, 2],\n [3, 1, -1, -1],\n [3, -2, -3, 3],\n [3, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, -4, -1],\n [-4, -1, -2, 2],\n [1, 3, 2, -1],\n [-4, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "541", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 2, -2],\n [0, 0, 2, -1],\n [2, 2, -3, -2],\n [-2, -1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "870", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -3, 0, 1],\n [-2, 4, 4, 1],\n [4, 2, 1, -4],\n [2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7488", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 3, 0, -4],\n [3, -3, 4, 1],\n [0, 4, 2, 1],\n [3, -2, -3, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 2, 2],\n [2, -3, 1, 4],\n [2, 1, -1, -2],\n [2, 4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1147", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -2, -3],\n [1, 1, 3, 2],\n [-4, 0, -1, 2],\n [-2, 0, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-4, 0, 2, -1],\n [0, 2, 0, -1],\n [2, 0, 1, 0],\n [-1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 1, -2],\n [1, 2, 0, -2],\n [-1, 2, 4, -2],\n [4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, 3],\n [0, -2, 1, -2],\n [0, 1, -2, 2],\n [3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9378", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -4, 3],\n [2, 1, 1, -4],\n [1, -1, 4, -2],\n [-1, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6443", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, -4, -4],\n [1, -3, 1, 2],\n [4, -4, -2, 1],\n [1, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1005", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 0, 4],\n [1, -3, -2, -2],\n [0, -2, -4, 4],\n [4, -2, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -3, -2],\n [0, 4, 3, 3],\n [-3, 3, -2, 0],\n [-2, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, -3],\n [3, -1, 2, 4],\n [0, -4, 0, 2],\n [2, -2, 1, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, -3, -2],\n [1, -4, -1, 2],\n [0, 1, -4, -2],\n [0, 3, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1914", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 4, -4],\n [-1, 0, 4, 1],\n [-2, 0, -1, 1],\n [4, 1, 4, -1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, 4, -2, 0],\n [4, 3, 3, 1],\n [-2, 3, -3, 0],\n [0, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 1, 2, 1],\n [1, -3, -2, -2],\n [2, -2, -4, 2],\n [1, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 3, -1],\n [-2, -1, 2, -3],\n [3, 0, 3, 0],\n [0, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 3, 0],\n [-2, -4, 1, 0],\n [3, 1, -2, 3],\n [0, 0, 3, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "603", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[3, 4, 4, -3],\n [-2, 1, -2, -3],\n [0, 2, -3, -1],\n [-1, -2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, 4, 4],\n [3, -3, 0, 3],\n [-4, -4, 3, 0],\n [0, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1294", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, -2, 0],\n [-2, -2, -2, -2],\n [-2, -2, 3, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1282", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -4, -4, 4],\n [1, -3, -1, -3],\n [0, 1, 3, 4],\n [-2, -4, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1194", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -4, -4, -2],\n [4, 1, 0, 2],\n [1, 2, -1, 4],\n [4, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-862", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -1, 4, -4],\n [0, 4, -1, -4],\n [1, -2, 3, 2],\n [2, 1, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, 4, 4],\n [-3, -3, -4, 1],\n [2, -4, 3, -2],\n [-4, -1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1146", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -4, -1, 4],\n [-3, -2, 3, -1],\n [-3, 1, 4, -4],\n [-1, 0, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-517", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, 2, 0],\n [-1, -3, 2, 0],\n [2, 2, -1, -2],\n [0, 0, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5635", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, 0, 4],\n [-4, -4, -3, 2],\n [0, -3, 2, -2],\n [4, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-541", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[3, 4, 0, 1],\n [0, -4, 1, 1],\n [4, -2, -4, 1],\n [1, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, 3, -4],\n [-2, 2, 1, 2],\n [-4, -4, 3, -2],\n [-3, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3080", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -4, 3, 4],\n [-1, -4, 2, 4],\n [3, -3, -1, 3],\n [-2, 3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "725", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-3, 4, -1, 0],\n [-3, 1, -3, 3],\n [-2, -2, 1, 4],\n [3, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-390", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 0, 0],\n [1, -2, 0, -1],\n [4, 1, -4, -4],\n [4, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "570", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, -4, -2],\n [4, -1, 4, 2],\n [-1, -3, 3, 2],\n [-2, -1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2687", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, -2, -1],\n [-4, 2, -3, 0],\n [2, -2, 1, 1],\n [-1, 3, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -4, 0],\n [0, 0, 0, 2],\n [-4, 0, -3, 3],\n [0, 2, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1460", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-4, 0, -1, 0],\n [0, 1, 3, 1],\n [-1, 3, -1, 4],\n [0, 1, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 1, -4],\n [1, 0, -3, -3],\n [0, -2, 3, -1],\n [-2, -1, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1509", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 3, 0],\n [2, 1, -2, 1],\n [3, -2, -4, 0],\n [0, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "876", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -2, -4],\n [2, -2, -2, 2],\n [-2, -2, -4, 0],\n [-4, 2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2646", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -2, 2],\n [0, -3, 2, -2],\n [-2, 2, 3, -2],\n [2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7623", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -3, -2],\n [-1, 4, 3, 3],\n [-1, 0, 3, -2],\n [0, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -4, -1, -1],\n [-3, 4, -3, 2],\n [-2, -3, -1, 1],\n [-4, -2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5607", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 4, 0, -1],\n [4, 0, 3, -1],\n [0, 3, 2, 3],\n [-1, -1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "540", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, -1, -2, -4],\n [-4, 0, 3, -3],\n [-1, -2, 2, -3],\n [-1, -2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[3, -2, -3, 0],\n [-2, -1, 2, 0],\n [-3, 2, 0, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -1, 0],\n [-2, -3, 0, 0],\n [-1, 0, -1, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0, 1],\n [0, -3, 0, 0],\n [0, 0, 0, 0],\n [1, 0, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, 2, -1, 0],\n [2, -4, 1, 0],\n [-1, 1, 0, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 1, 2, 0],\n [1, 3, -1, 2],\n [2, -1, -2, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, -2, 2],\n [-4, 3, 0, 0],\n [-2, 0, -2, 1],\n [2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-344", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -2, 0],\n [2, 3, -1, 2],\n [-2, -1, 4, -4],\n [0, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1556", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 4, 2, 2],\n [4, 2, 1, 3],\n [2, 1, 4, 0],\n [2, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2913", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, 1, -2],\n [-4, -2, -2, 0],\n [1, -2, 3, 2],\n [-2, 0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7245", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 2, 3],\n [1, -4, 0, 2],\n [2, 2, 3, -4],\n [-2, 1, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-2, -1, 2, 2],\n [-1, 0, 0, -2],\n [-2, 3, 1, -4],\n [-3, -3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, 2, -1],\n [2, -1, -3, 2],\n [1, -2, 0, -2],\n [-3, 3, 3, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "680", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 2],\n [0, 3, -2, -2],\n [0, -2, 1, -4],\n [2, -2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[1, -2, -2, -3],\n [-2, -1, 0, 2],\n [-2, 0, -4, 2],\n [-3, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -1, -3],\n [2, 0, 2, 1],\n [2, 2, 2, 0],\n [1, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "322", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-3, -1, 2, 3],\n [-1, 0, 2, -2],\n [2, 2, -2, -2],\n [3, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-816", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, -2, 0, 1],\n [-2, 2, -1, 0],\n [0, -1, -2, 2],\n [1, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, 3, -3],\n [2, -1, 4, 2],\n [-4, -1, -3, -3],\n [2, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "527", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -4, 4, 4],\n [4, -1, -3, -4],\n [-1, 3, 4, -2],\n [-3, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13175", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 0, 3],\n [0, 0, 3, -2],\n [0, 3, -2, -2],\n [3, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1606", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[3, 2, 0, -2],\n [-3, -4, -2, -3],\n [1, 2, -1, -4],\n [4, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 2, 0, 0],\n [2, -2, 2, -3],\n [0, 2, -3, -2],\n [0, -3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3510", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, 4, 1],\n [2, -2, 1, -2],\n [-4, -1, -2, 3],\n [3, 4, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -2, 0, 2],\n [-2, 0, -3, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, -2],\n [0, 1, 0, 2],\n [0, 0, 0, 1],\n [-2, 2, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "532", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2, 2],\n [2, -1, -2, -4],\n [-2, -2, -1, 2],\n [2, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 0, -2],\n [2, 2, -2, 0],\n [0, -2, 0, 0],\n [-2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1229", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, 2, 2],\n [-1, 0, 3, -2],\n [2, -4, -2, -4],\n [1, 3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0, 2],\n [2, 1, 0, 2],\n [0, 0, 2, 0],\n [2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "512", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 1, 3],\n [3, 0, 4, 2],\n [1, -3, 0, 0],\n [-1, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2180", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 1, 3],\n [0, -4, 2, 1],\n [1, 2, 0, 1],\n [3, 1, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "578", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, 0, 0],\n [3, -1, -2, 0],\n [0, -2, 0, 1],\n [0, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 4, 0],\n [1, -2, 1, -2],\n [-1, -1, 1, -1],\n [4, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 1],\n [0, 3, 0, -2],\n [-2, 0, 3, 1],\n [1, -2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1447", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, -2],\n [0, -4, -2, -2],\n [0, -2, -1, -2],\n [-2, -2, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "788", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, -2, -1, 4],\n [0, 4, 2, 4],\n [1, -4, -2, -4],\n [-1, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-2, 1, -2, 1],\n [1, 2, 3, 4],\n [-1, -2, 2, -3],\n [1, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[0, 2, 0, 2],\n [2, -2, 0, 0],\n [0, 0, -2, 2],\n [2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, 0, 0, -2],\n [0, -3, 2, 2],\n [0, 2, 1, 4],\n [-2, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, 2, 0],\n [2, 4, -1, 1],\n [2, -1, 4, 3],\n [0, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7704", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[1, 2, 0, 2],\n [2, 1, 0, 2],\n [0, 0, -3, -1],\n [2, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 2, -2],\n [0, 3, -2, 3],\n [2, -2, -2, 0],\n [-2, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "340", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, 2, -2],\n [3, 1, 0, 0],\n [2, 0, -2, 4],\n [-2, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1308", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 3, 1, 3],\n [0, -2, -1, 4],\n [1, -4, -1, 1],\n [0, 3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5862", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, -1],\n [0, -2, -1, -2],\n [0, -1, 4, -1],\n [-1, -2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1298", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, 4, -2],\n [-3, 2, -4, 2],\n [2, 1, -3, -2],\n [2, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, -3, -1],\n [2, -1, 0, -2],\n [-3, 0, 0, 0],\n [-1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5201", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, -2, 0],\n [-2, 4, 1, -2],\n [-2, 1, -1, 2],\n [0, -2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "722", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, 1, -3],\n [-4, 4, 3, 0],\n [1, -3, -4, -3],\n [-1, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1033", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[0, 3, -2, 3],\n [2, -3, 4, -2],\n [2, -4, -2, -1],\n [-1, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2, 0],\n [0, 2, -4, 2],\n [2, -4, 1, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5594", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, -1, -1],\n [3, 2, -4, 2],\n [2, 3, -2, 1],\n [-2, 4, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 1, 3],\n [2, 3, -2, 1],\n [0, -3, 3, 1],\n [-4, -1, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, 3, 4],\n [4, 3, -3, 1],\n [2, -2, 1, 0],\n [0, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2489", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 3, 4],\n [3, -3, -3, 4],\n [3, -1, 4, -2],\n [3, -4, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, 2, -1, 0],\n [2, -1, 2, 2],\n [-1, 2, 1, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-402", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, -1, -1],\n [2, 3, -1, -1],\n [-1, -1, -4, 0],\n [-1, -1, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1406", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -1, -2],\n [0, -4, 3, 0],\n [-1, 3, 2, -2],\n [-2, 0, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4321", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, 2, -2],\n [-1, 4, -1, 3],\n [2, -1, 3, 4],\n [-2, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 0, 0, 0],\n [-4, -2, -2, -4],\n [-4, -3, -3, -3],\n [0, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, 0, -1],\n [4, 3, 1, -3],\n [-3, 1, 2, 1],\n [-4, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1124", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -3, 2, 0],\n [-3, 2, 1, 2],\n [2, 1, -1, -2],\n [0, 2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "538", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 4, -2, -1],\n [3, -2, -1, 0],\n [2, 2, -2, -1],\n [-1, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, 4, -2],\n [-2, 4, 2, -4],\n [-2, 2, -1, 0],\n [1, 0, -3, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, 3, -4],\n [-1, -3, 1, 0],\n [0, -4, -4, 0],\n [3, 4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5562", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, -3, 4],\n [3, 0, 1, 4],\n [3, -3, -1, 4],\n [-3, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "360", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, 0, -2],\n [0, -2, 2, -4],\n [0, 2, -4, 0],\n [-2, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1643", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -3, -1],\n [3, 2, -1, -3],\n [-2, 2, -3, -3],\n [0, 2, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "808", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, 0, 1, 0],\n [0, -2, -2, 1],\n [1, -2, 2, -3],\n [0, 1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, -3, 3],\n [2, 3, 1, -2],\n [-4, 3, 1, 3],\n [-1, 4, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 2, 0],\n [1, 3, 2, -4],\n [2, 2, -2, 3],\n [0, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -2, -1, 3],\n [-3, -4, -3, 1],\n [3, 3, 1, 0],\n [2, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6875", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 0, -1],\n [-2, -3, -2, 2],\n [0, -2, 3, 2],\n [-1, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, -4],\n [1, -2, -3, 4],\n [3, -4, 1, -1],\n [-2, 4, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11641", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 2, -1],\n [2, -3, 2, 3],\n [2, 2, 4, -3],\n [-1, 3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1748", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, -4, 3],\n [4, -3, 4, 0],\n [-4, 2, -4, 1],\n [-2, -3, 4, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, -2, 4],\n [1, 0, 0, 0],\n [2, -4, 2, 0],\n [3, 2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -1, -1, 2],\n [0, 3, -4, 3],\n [2, 0, 0, 3],\n [-2, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, -3, -1],\n [0, -4, 1, -4],\n [-3, 1, 2, -2],\n [-1, -4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1159", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -1, 3],\n [3, -1, 0, -1],\n [-4, -4, 0, 1],\n [-3, 4, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "606", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -1, 1],\n [2, 4, 1, 0],\n [-1, 1, 1, -3],\n [1, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "804", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -3, 2, -3],\n [-3, 1, 0, 0],\n [2, 0, 1, 0],\n [-3, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10013", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-4, 0, -2, 0],\n [0, 0, 3, 2],\n [-2, 3, -1, 1],\n [0, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "390", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, 4, 0],\n [-2, 4, 3, 0],\n [1, 1, -2, 2],\n [0, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "470", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 1, -2],\n [0, -3, -2, 4],\n [0, 0, 1, 1],\n [1, -1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -1, -3],\n [2, 0, 2, 0],\n [-1, 2, 0, -2],\n [-3, 0, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "984", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -4, -1],\n [-3, 4, 4, -3],\n [-3, -1, 2, -4],\n [4, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8884", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, 1, 0],\n [2, -1, 0, -4],\n [1, 0, 3, -1],\n [0, -4, -1, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "287", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 0],\n [0, 1, 1, 4],\n [0, 1, 4, 4],\n [0, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19782", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, -2, -2, 0],\n [-2, 1, 0, -2],\n [-2, 0, 2, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 1, 2],\n [4, 1, 2, 0],\n [2, 3, -4, -1],\n [4, -4, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-235", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, -4, -2],\n [2, -4, 0, 2],\n [-4, 0, -4, -1],\n [-2, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1044", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, 4, 2, 1],\n [0, 2, 0, 0],\n [0, 1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3341", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, -1, -4],\n [-2, 4, -4, 3],\n [-1, 0, 2, 4],\n [-4, 3, -3, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1279", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 2, 4],\n [-2, -1, -2, 0],\n [-2, 3, 4, -4],\n [-4, 1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3841", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, -2, 2],\n [-4, 0, 2, -2],\n [-1, -3, 4, -3],\n [1, 3, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "960", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 1, 3],\n [3, -3, -4, -4],\n [4, -1, 1, 4],\n [3, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1299", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2, 0],\n [0, -1, 0, 1],\n [-2, 0, -4, 0],\n [0, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1849", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, 2],\n [-2, -3, -2, 0],\n [0, -2, 2, -2],\n [2, 0, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2866", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, 0, -3],\n [-3, -3, 2, 2],\n [-4, -3, -2, 2],\n [1, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1002", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 4, 1, -4],\n [3, -4, -2, -4],\n [4, -3, -3, -1],\n [3, 4, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1633", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, -4, 0],\n [-4, -4, 2, -4],\n [4, -1, 3, -1],\n [4, 1, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 1, -3],\n [-3, -4, -4, -3],\n [-1, -3, 2, -1],\n [0, -1, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1291", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-4, 0, 0, 0],\n [0, 2, 2, 2],\n [0, 2, -1, -1],\n [0, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[1, 1, 3, -2],\n [1, 3, -2, 0],\n [3, -2, 2, -1],\n [-2, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, 4, -3, -4],\n [0, -1, 4, 4],\n [4, 0, 4, 1],\n [0, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, 0, 2],\n [-2, -1, 2, 1],\n [0, 2, 2, 0],\n [2, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1432", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -3, 3, -1],\n [-3, 4, -4, 2],\n [3, -4, 0, -2],\n [-1, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3458", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 2, 2],\n [-2, 4, -3, -1],\n [-1, 0, -1, -1],\n [2, -4, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7946", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 4, 0, -3],\n [-3, 0, 0, 4],\n [1, 2, -3, -3],\n [-3, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 2, -1],\n [-1, -4, -3, -3],\n [0, -3, -1, 2],\n [2, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12020", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, -4, 3],\n [0, 2, 0, -1],\n [2, 3, 2, -3],\n [-4, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "752", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -1, 2],\n [2, -2, -1, -2],\n [-1, -1, 4, 0],\n [2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "462", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, -2],\n [0, 2, 2, 2],\n [0, 2, -1, -2],\n [-2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, 0, 1],\n [-3, 0, -4, -4],\n [0, -4, -2, 0],\n [1, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13229", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, 0, -2],\n [0, -3, 1, 0],\n [0, 1, 1, -1],\n [-2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-263", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, 3, -2, 0],\n [3, -4, -2, -1],\n [-2, -2, 1, 0],\n [0, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 0, -3],\n [0, -2, 0, -1],\n [0, 0, -3, 0],\n [-3, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 1, 1],\n [-3, -4, 0, 2],\n [4, 3, -1, 0],\n [1, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4668", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, -4, 3],\n [-3, 0, 2, -3],\n [1, 2, -4, 4],\n [-4, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "401", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 1, 0, 0],\n [1, 3, 4, -2],\n [0, 4, 0, -1],\n [0, -2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2730", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[2, -2, 2, -4],\n [-2, -1, 4, 0],\n [2, 4, 1, -4],\n [-4, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 4, 3, -2],\n [3, -2, -1, 0],\n [4, 1, -2, -4],\n [-1, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 0, 0],\n [0, 1, -2, 0],\n [0, -2, 1, 2],\n [0, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "467", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, 1, -2],\n [-2, 0, 2, 1],\n [2, -4, -2, -4],\n [2, -1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1419", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, 0, -2],\n [-2, -4, 0, 0],\n [0, 0, 2, 0],\n [-2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4477", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -2, -1],\n [1, 1, 0, -4],\n [-2, 0, 3, -2],\n [-1, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3908", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 1, 2],\n [2, 3, 0, 1],\n [1, 0, 1, 2],\n [2, 1, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3609", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 3, 0, 4],\n [-4, -3, -2, -4],\n [-4, -3, 0, -2],\n [3, -3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "623", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, 0, 2, -2],\n [0, -1, -2, -1],\n [2, -2, 4, -2],\n [-2, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, 4, -3],\n [3, 0, 4, -3],\n [4, -1, 0, -3],\n [-4, 1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10336", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, 0, 2],\n [0, 1, 4, 1],\n [0, 4, 0, -3],\n [2, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "686", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 2, 1],\n [0, 3, -1, -4],\n [0, 0, 1, 0],\n [0, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2611", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, -3, -1],\n [-4, -1, -4, 0],\n [-1, -3, 1, 1],\n [-3, 2, 4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -3, -3],\n [-2, 4, -3, -2],\n [-3, -3, -1, 2],\n [-3, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-415", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, 2, -2, 0],\n [2, -1, -1, 0],\n [-2, -1, 0, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, -1, 0],\n [-4, 2, -2, -4],\n [3, -4, 4, -3],\n [-4, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6150", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, 0, -2],\n [3, 3, 2, 2],\n [-1, -3, 2, 2],\n [4, 3, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-471", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, 2],\n [0, -1, -1, -3],\n [-2, -1, 2, 4],\n [2, -3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13494", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, 2, 2],\n [2, -2, -1, 2],\n [2, -1, -4, 2],\n [2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8623", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-2, 0, 2, 0],\n [0, 2, 2, 3],\n [2, 2, 3, 0],\n [0, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[4, 4, 3, 1],\n [4, 0, -2, -4],\n [2, 3, -3, 2],\n [-3, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1212", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 4, -2, -3],\n [4, 0, 1, -1],\n [-2, 1, 0, 0],\n [-3, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 0, 2],\n [0, 3, 0, -2],\n [0, 0, -1, 0],\n [2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2847", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 4, 2],\n [-3, -2, 0, -2],\n [-3, 1, 4, -2],\n [0, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 4, -2, -4],\n [2, -1, 3, -1],\n [2, 0, 1, -4],\n [0, 1, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "832", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, 3, 1],\n [3, 3, 1, -4],\n [4, 2, 2, 3],\n [-1, 4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1468", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, 2, 0],\n [0, 4, -2, 2],\n [2, -2, -4, -1],\n [0, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1020", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 1, 0],\n [0, 0, -1, -1],\n [1, -1, 0, 1],\n [0, -1, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "569", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 0, 2],\n [-3, 3, 2, -2],\n [0, 2, 0, 4],\n [2, -2, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, 0, -1],\n [-4, 2, 0, -1],\n [0, -4, 4, -3],\n [-4, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, -2, 4],\n [0, 4, -3, 1],\n [-2, -2, -1, 4],\n [2, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "888", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, 4, -4, -1],\n [3, 4, -2, -3],\n [0, -3, -1, -1],\n [4, 2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 3, -1],\n [2, 0, -3, 1],\n [3, -3, -2, 2],\n [-1, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -3, 0, 1],\n [3, -4, 4, -3],\n [0, 4, 4, 3],\n [-3, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-3, -1, 1, -4],\n [2, 1, -3, -1],\n [1, 3, 2, 3],\n [1, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[0, -1, 2, 0],\n [1, -3, 3, 0],\n [0, 2, -3, 2],\n [3, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, 2, 0, 2],\n [2, 3, -2, -1],\n [0, -2, 0, 0],\n [2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, 3, -3],\n [-1, 1, -2, 2],\n [0, -4, 0, -3],\n [2, 2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1231", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -2, 2, 2],\n [-2, 3, 0, -2],\n [2, 0, -4, 2],\n [2, -2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "665", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 2, 0],\n [1, 2, -2, 0],\n [2, -2, -4, 0],\n [0, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "511", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[1, 0, 4, -3],\n [-4, 2, 2, -2],\n [-1, 2, -3, -3],\n [4, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -2],\n [-2, -3, 0, 1],\n [0, 0, -4, -1],\n [-2, 1, -1, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -3, -3],\n [-4, 1, -2, -1],\n [1, -1, 3, 3],\n [4, 0, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "510", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 3, 1],\n [4, 3, 0, -2],\n [3, 0, -1, 0],\n [1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1357", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-2, 1, -4, 1],\n [-2, -2, 0, 3],\n [4, -3, -3, 1],\n [-1, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, 2, -1],\n [-4, -2, 1, 0],\n [2, 1, 2, 0],\n [-1, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "530", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, 4, 2],\n [4, 1, 0, 0],\n [-2, 4, 4, 3],\n [-4, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1357", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 1, 3, -1],\n [-1, 2, 2, -4],\n [4, 1, -2, -3],\n [1, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6043", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, -2, -2],\n [-1, -4, -2, 1],\n [-2, -2, 2, 0],\n [-2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -3, -3],\n [4, -4, 1, 2],\n [1, 2, -3, 1],\n [-4, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 3, 1, 2],\n [-2, 1, -2, -2],\n [-2, -3, 3, -1],\n [-2, 1, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "518", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 0, 0],\n [2, -1, 0, 0],\n [0, 0, -2, -2],\n [0, 0, -2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[2, -2, 1, 0],\n [4, 1, -4, -4],\n [3, 0, 4, 4],\n [1, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 1, -3],\n [-4, 1, -4, -3],\n [3, -4, 1, 2],\n [2, 2, -4, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, -2],\n [2, 1, 0, 1],\n [0, 0, 1, -1],\n [-2, 1, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1892", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 2, -2],\n [-2, -2, 0, -4],\n [4, 0, 2, -1],\n [-4, -4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1616", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 0, 0],\n [-1, -1, 4, 0],\n [4, 2, 1, -2],\n [-2, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1273", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, 0, 2],\n [0, -1, -2, -4],\n [0, -2, 2, 0],\n [2, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2250", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-2, -3, -2, -3],\n [1, 1, 0, -4],\n [-2, -1, -3, 4],\n [3, 1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -2, 0],\n [-2, 1, 2, 1],\n [-2, 2, -1, 1],\n [0, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "454", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -2, -1],\n [-3, -4, 0, -3],\n [-1, -2, 3, 3],\n [0, -1, 3, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 1, 0],\n [4, 4, 0, -4],\n [-3, -3, 2, 2],\n [2, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, -2, 0],\n [2, 0, 0, 0],\n [-2, 0, 2, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -1, -4],\n [1, -4, -3, 4],\n [0, -3, -3, 0],\n [4, 3, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-630", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-2, -2, 1, 0],\n [-2, -4, -1, 2],\n [1, -1, 1, 1],\n [0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 2, 0, 2],\n [2, -2, -4, 1],\n [0, -4, -1, -1],\n [2, 1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 4, 1, 2],\n [-3, -2, 2, 0],\n [0, 4, -3, -3],\n [0, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-2, 4, 1, 0],\n [-2, -3, -4, -4],\n [2, 0, 1, 1],\n [2, 2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -1, -1, 3],\n [4, 0, -1, 4],\n [-3, 1, 3, 0],\n [3, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5771", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -3, 4, -2],\n [1, 3, -2, 1],\n [3, 3, -3, -3],\n [-3, 0, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -4, -1, 0],\n [-2, -3, 4, -1],\n [-3, -4, 4, -2],\n [-4, -3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6650", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, 2, 3, 2],\n [2, -4, 0, -2],\n [3, 0, -2, 0],\n [2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "973", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-1, 2, -3, -2],\n [-1, -4, 3, 4],\n [3, 3, 0, 1],\n [3, 3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[0, 0, 1, -4],\n [-3, -1, 2, -1],\n [-3, 0, 1, -4],\n [-3, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, -4, 1],\n [3, -4, 2, -2],\n [3, 1, 0, -4],\n [-3, -3, -4, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-564", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[0, 2, -3, -3],\n [-4, 4, 2, 0],\n [3, -1, 4, -3],\n [4, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 2, 3],\n [-2, -2, -3, 4],\n [2, -3, -2, 2],\n [3, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18059", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, 1, 4],\n [1, 3, 0, -1],\n [0, 1, -3, -4],\n [3, 3, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2235", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-1, 2, 2, -1],\n [2, -2, -2, -3],\n [2, -2, 1, 0],\n [-1, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-1, -1, -3, 0],\n [-3, -2, -2, -2],\n [4, 4, 1, 3],\n [-4, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -4, -3, 1],\n [1, 4, -4, 4],\n [-2, -1, -4, -2],\n [-1, 1, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1094", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, -1, -3, 0],\n [-1, 2, -1, 2],\n [-3, -1, 1, -4],\n [0, 2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, -4, 4, -4],\n [2, 3, -3, -1],\n [-2, 3, -1, -1],\n [4, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, 0, -4],\n [1, -3, 0, 1],\n [0, 0, 2, 1],\n [-4, 1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "816", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[3, -4, -2, 4],\n [4, 1, 1, -2],\n [2, -3, -4, -4],\n [-4, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-924", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, -4, 3],\n [-1, -3, 3, -2],\n [-4, 2, 1, -2],\n [2, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 1, -3],\n [1, -1, -3, -4],\n [-3, -4, 3, -3],\n [2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3582", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -4, -2],\n [0, -1, -1, 2],\n [-4, -1, 2, -2],\n [-2, 2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-1, -1, -1, 0],\n [-1, -1, 0, 3],\n [-1, 0, 1, -2],\n [0, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[1, 2, 1, 0],\n [0, 1, -4, 4],\n [-4, -1, 2, 2],\n [-3, -3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0, -2],\n [2, -2, 0, 0],\n [0, 0, 0, 0],\n [-2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, -1, -1, 4],\n [-3, 1, 0, 0],\n [3, -3, 4, 3],\n [-2, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0, 2],\n [-2, 1, -1, -2],\n [0, -1, -3, 3],\n [2, -2, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "895", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, -4, 4],\n [3, 2, -3, 1],\n [0, -1, -3, -2],\n [3, 1, -1, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, 1, 0, -4],\n [-3, 0, 4, -2],\n [-1, -3, 0, -3],\n [-4, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, 0, 0],\n [1, 3, 0, 2],\n [0, 0, 2, 2],\n [0, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "236", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0, 0],\n [2, 3, 2, 1],\n [0, 2, -2, 0],\n [0, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3061", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, 1, 0],\n [3, -4, 3, -2],\n [1, 3, -2, -4],\n [0, -2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, 4, -4],\n [1, -1, 4, -2],\n [-3, -2, 3, -1],\n [-1, -3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "760", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 1, -2, 0],\n [1, 1, 0, -2],\n [-2, 0, 0, -2],\n [0, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1264", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-1, -4, -4, 4],\n [1, 3, 2, 4],\n [-2, 2, 4, -2],\n [2, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, 2, 2, 2],\n [2, 2, -2, -4],\n [2, -2, -2, -4],\n [2, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1428", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -1, 4],\n [0, 4, 2, -3],\n [-1, 2, 3, -2],\n [4, -3, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, 0, -4],\n [2, 2, -2, -3],\n [0, -2, 0, 0],\n [-4, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, -1, -2],\n [2, 2, 3, 0],\n [-1, 3, 2, -2],\n [-2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5884", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 1, 0],\n [-2, -2, -1, -1],\n [-3, 0, -1, -3],\n [-3, -3, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 2, -2],\n [-3, 0, -4, 0],\n [2, -2, 1, 2],\n [4, -1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "732", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, -2, -1],\n [-2, -4, -2, 1],\n [-2, -2, -4, 1],\n [-1, 1, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9892", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, -2],\n [1, 2, -4, 0],\n [2, -3, -4, 0],\n [-3, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "540", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-4, 0, 1, -1],\n [0, -1, -1, 1],\n [1, -1, 1, 2],\n [-1, 1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, 0, 0],\n [-2, 1, 0, 2],\n [0, 0, 0, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2215", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-1, -2, 3, -4],\n [-2, -4, -3, -1],\n [3, -1, -3, 4],\n [3, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 4, -3, 4],\n [4, 1, 3, -2],\n [3, 0, 4, 1],\n [0, -3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 1, -2],\n [-1, 0, -3, 0],\n [1, -3, 3, -2],\n [-2, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5703", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, -2, 2],\n [-4, -3, 0, 2],\n [-2, 0, 2, -3],\n [0, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 0, 2, 3],\n [0, 1, -2, 0],\n [2, -2, 3, -1],\n [3, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, -2, 3],\n [-4, -4, -4, 2],\n [-2, -1, 0, 0],\n [-3, 4, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-337", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, 1, 0],\n [2, 2, -2, 0],\n [1, -2, 4, -4],\n [0, 0, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6877", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, 0, -1, -1],\n [0, -2, -2, 0],\n [-1, -2, 0, 0],\n [-1, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, 0, -2, -1],\n [0, -3, 0, 2],\n [-2, 0, -2, 2],\n [-1, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 1, -2],\n [0, 2, 2, 0],\n [1, 2, 3, 2],\n [-2, 0, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "521", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, -2, 2],\n [-2, 4, -3, 0],\n [-2, -3, -2, -2],\n [2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-356", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-3, 4, 0, -4],\n [4, 2, 2, 0],\n [0, 2, -1, -3],\n [-4, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-308", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 0, -2],\n [-3, -3, 2, 4],\n [0, 2, 2, -2],\n [-2, 4, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1233", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, -4, -3],\n [-2, 4, 0, 0],\n [-4, 0, -2, -2],\n [-3, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1154", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, -2, -2],\n [3, -4, 0, 0],\n [-2, -3, -4, 1],\n [1, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "666", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, -2],\n [0, 0, 2, 2],\n [0, 2, 0, -2],\n [-2, 2, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1666", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 1, 2],\n [2, -1, 0, -2],\n [1, 0, 3, -2],\n [2, -2, -2, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 3, 1],\n [0, -2, 2, 1],\n [-4, 3, -1, 3],\n [3, 4, -4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1165", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 0, 2],\n [-2, -2, 2, -2],\n [0, 2, 0, 2],\n [2, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "430", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, -2, -3],\n [3, -3, 0, -4],\n [4, -1, 4, 1],\n [-4, -3, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9680", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, 2, 1],\n [0, 0, -4, -3],\n [2, 0, -4, -1],\n [-1, 2, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "685", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 3, 2],\n [3, -2, 0, -1],\n [-1, 4, 1, -4],\n [-4, -4, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 3, 3, 2],\n [3, 0, 3, -2],\n [2, 3, 0, -4],\n [-1, -4, 1, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1016", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -1, 3, -2],\n [2, -1, 3, -2],\n [-3, 1, -3, -4],\n [3, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "663", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, 0, 0, -2],\n [0, 4, -1, -3],\n [0, -1, 1, 0],\n [-2, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 2, 0],\n [-1, -2, 0, 0],\n [2, 0, 2, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "499", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, -1, 0],\n [2, 1, 2, 2],\n [-1, 2, -3, 1],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -2, -3],\n [0, 3, -2, 2],\n [-2, -2, -1, 2],\n [-3, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2182", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 3, 4],\n [3, -1, 0, -4],\n [1, -3, 4, 3],\n [4, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "655", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 1, -2],\n [0, 3, 0, 3],\n [1, 0, 2, -4],\n [-2, 3, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "951", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 4, 0, -2],\n [0, -2, -2, 1],\n [1, 4, -1, -3],\n [4, 3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "760", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 0, 2],\n [-2, -1, 2, -2],\n [0, 2, 2, 0],\n [2, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 4, 2, -2],\n [1, 0, -2, -4],\n [-1, 1, -3, 3],\n [1, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[0, 3, -2, 3],\n [3, -3, 2, 1],\n [-2, 2, -2, 0],\n [3, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -3, -3, 3],\n [-3, 2, -1, -3],\n [1, -1, 0, 3],\n [1, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, -1, 4, -3],\n [3, -1, -4, 3],\n [1, 0, -2, 0],\n [3, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-4, 1, -1, -1],\n [1, 1, -2, -2],\n [-1, -2, -4, 4],\n [-1, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 4, -2, 0],\n [4, 2, 2, 2],\n [-2, 2, -4, -1],\n [0, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "812", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -1, -2],\n [-3, -2, -1, -3],\n [4, -3, -1, -3],\n [2, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, 2, 1, 1],\n [2, -2, 0, -2],\n [1, 0, 1, -2],\n [1, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 4, 1],\n [2, 3, 0, -3],\n [-3, -1, -1, 3],\n [4, -3, -1, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 3, -2],\n [-2, -1, -1, -1],\n [4, 2, 1, -3],\n [3, 3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, 1, 0],\n [4, 3, -2, -3],\n [2, -2, 2, 2],\n [3, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, -1, -4],\n [-2, 0, 2, 0],\n [-1, 2, 4, 0],\n [-4, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4902", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 0, -2],\n [0, 3, 0, 0],\n [0, 0, 4, 2],\n [-2, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "858", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 0, 1],\n [0, -2, -2, -2],\n [0, -2, -3, 0],\n [1, -2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1555", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 2, -1],\n [2, -2, 3, 2],\n [2, 3, 1, 2],\n [-1, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "928", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, -1, -3],\n [-2, 2, 2, 2],\n [-1, 2, -1, -2],\n [-3, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1570", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 4, 0],\n [-4, 1, 2, 0],\n [-2, 2, 0, 1],\n [-2, 3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "478", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[4, 2, -3, 2],\n [2, 1, 2, -1],\n [-3, 2, 4, -3],\n [2, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1888", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -4, -1],\n [0, 2, -4, -1],\n [-4, -4, 4, 0],\n [-1, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13241", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -4, -3, -3],\n [-1, 3, 2, -1],\n [0, -1, 3, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1523", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[4, -2, 2, -3],\n [2, 2, -4, 4],\n [0, -1, -2, 1],\n [4, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 0],\n [0, -4, 0, 1],\n [2, 0, 4, -4],\n [0, 1, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 3, 0],\n [0, 3, 2, 0],\n [3, 2, 3, -2],\n [0, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2090", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[0, 1, 1, -3],\n [1, -2, 1, 0],\n [1, 1, -2, 0],\n [-3, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, -1, 2],\n [1, 2, -2, 0],\n [-1, -2, 3, -2],\n [2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, 3, 1, 2],\n [3, -1, -2, 4],\n [1, -2, 3, -2],\n [2, 4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -3, 3],\n [0, 1, 1, 0],\n [-3, 1, -1, -3],\n [3, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5324", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 1, 1],\n [2, -2, -4, -2],\n [1, -4, -3, -1],\n [1, -2, -1, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1145", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, 0, 1],\n [4, -3, 1, 2],\n [0, 1, -1, 3],\n [1, 2, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1099", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -3, 0, -1],\n [-3, -3, 2, 0],\n [0, 2, -4, -3],\n [-1, 0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7250", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 4, 2, 4],\n [4, -3, 2, 0],\n [2, 2, 0, -3],\n [4, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, 4, 1, -2],\n [4, 3, 1, -2],\n [1, 1, -4, -2],\n [-2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 1, 4],\n [0, -2, -2, 3],\n [-1, -1, 1, 2],\n [1, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "505", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 1, 0, 2],\n [-1, 1, 2, 3],\n [-1, 2, -4, -1],\n [4, -4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, 0, 3],\n [-2, -1, 1, -2],\n [-2, 3, 2, -3],\n [4, 4, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-730", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, 4, 0, -2],\n [4, -2, 2, 2],\n [0, 2, 1, 2],\n [-2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 0, -3],\n [0, -3, -3, 3],\n [0, -3, -3, 3],\n [-3, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22340", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, -2],\n [0, -4, -2, 0],\n [0, -2, 3, -4],\n [-2, 0, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1210", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-2, -3, 4, -4],\n [3, 2, -4, -3],\n [2, 4, 2, 4],\n [2, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-4, -3, -2, 0],\n [0, 1, 3, -3],\n [1, 1, -3, 1],\n [-3, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -4, 4, -1],\n [3, -1, 4, -2],\n [-3, -1, 0, 3],\n [-2, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 3, 4, 0],\n [3, -4, 0, 0],\n [4, 0, 3, 1],\n [0, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3810", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 1, -2],\n [2, 2, -2, 2],\n [3, 1, 2, 4],\n [-4, -3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, 2, -4],\n [-2, 3, 1, 4],\n [2, 1, 0, -1],\n [-4, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1718", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-4, 1, 4, 0],\n [1, -4, 0, 2],\n [4, 0, 4, 0],\n [0, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-492", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, -1, -2, 2],\n [0, -2, -1, 2],\n [0, 2, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "382", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 3, 1, 4],\n [4, -2, 4, 2],\n [-4, -1, -3, 1],\n [0, 2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -2, 0],\n [-1, -1, 0, 0],\n [-2, 0, 2, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, 4, 4, -4],\n [4, -3, -1, -3],\n [3, -2, -1, 2],\n [3, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[3, -3, 2, 2],\n [-3, 1, -2, 1],\n [2, -2, -3, -2],\n [2, 1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, -2, 0],\n [-2, -4, 2, -2],\n [-2, 2, -3, 0],\n [0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4641", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -3, -2],\n [2, -4, 2, 0],\n [-3, 2, 1, -3],\n [-2, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 0, 1, -2],\n [0, -3, 3, 2],\n [1, 3, -4, -2],\n [-2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -3, 3],\n [2, -1, -4, -1],\n [-4, -4, 0, 4],\n [-3, -3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-990", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -2, 0],\n [0, 0, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "275", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-3, 4, -4, 0],\n [1, -4, 0, 2],\n [3, 2, 4, 0],\n [-1, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "852", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 1, 0],\n [0, 3, 0, 0],\n [1, 0, 1, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 2, 1],\n [-3, -3, -4, -4],\n [4, -3, -3, -4],\n [0, 4, 0, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, 2, 3],\n [2, -2, -2, 3],\n [2, -1, -4, -4],\n [0, 4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7044", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -1, -3],\n [2, -1, 0, -1],\n [-1, 0, -1, -2],\n [-3, -1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, -4, 4],\n [0, -1, 3, -1],\n [-4, 3, 1, 0],\n [4, -1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1189", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, -1, 2, -2],\n [-1, 0, 4, 0],\n [2, 4, -4, -1],\n [-2, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, 3, -3],\n [4, 4, 2, 4],\n [1, 0, -2, 1],\n [-1, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "404", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, 0, 0],\n [3, 1, 0, 0],\n [0, 0, -3, 0],\n [0, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2306", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -1, -2],\n [2, -4, -4, 0],\n [-4, 4, 0, 1],\n [4, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2021", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, 3, 4],\n [-2, 3, 1, 0],\n [-3, 0, -2, 0],\n [-4, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1946", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 4, 1, 0],\n [-2, 3, -1, 4],\n [4, -3, -2, -3],\n [3, -4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "735", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 0, 2],\n [2, 2, 1, 1],\n [0, 1, -2, 0],\n [2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, -4, 2],\n [-1, -3, -3, 2],\n [-4, -3, 0, -2],\n [2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14583", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-2, -3, 2, 2],\n [-3, -1, -3, 2],\n [2, -3, 1, 1],\n [2, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[4, -4, -2, 2],\n [-4, -1, 2, 0],\n [-2, 2, 1, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1112", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 0, -1],\n [0, -3, -2, -4],\n [0, -2, 4, -2],\n [-1, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "887", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 3, -4],\n [1, 4, -4, 1],\n [-3, 4, 4, 4],\n [3, 4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9875", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 4, -1],\n [2, 4, -1, 2],\n [4, 2, 3, -3],\n [2, 0, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "808", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -1, 2],\n [2, -4, 2, -2],\n [-1, 2, 0, -2],\n [2, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "867", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 2, -3],\n [0, 2, -2, 0],\n [2, -2, 1, -2],\n [-3, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 2, 2],\n [0, -1, -4, 1],\n [2, -4, -3, 0],\n [2, 1, 0, 4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 2, 0],\n [0, -2, 0, -2],\n [2, 0, 0, 2],\n [0, -2, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "577", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 4, 3],\n [-2, 4, 2, -2],\n [4, 2, -2, 0],\n [3, -2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2361", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[3, 1, -3, -4],\n [-3, 1, 3, 3],\n [1, -4, -2, 2],\n [-2, -4, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 3, -4, 1],\n [-2, -4, -4, -2],\n [-1, 0, 4, 1],\n [3, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, -2, 4],\n [-1, -4, 2, 1],\n [-2, 2, -1, 3],\n [4, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1423", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 3, -2],\n [0, 2, 0, 2],\n [3, 0, -2, 0],\n [-2, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[3, 2, -1, 0],\n [2, -2, 2, -4],\n [-1, 2, 4, 0],\n [0, -4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 3, 0, -2],\n [3, 3, -2, 2],\n [0, -2, 4, 2],\n [-2, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1596", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 0, 0],\n [2, -4, -1, -4],\n [0, -1, -2, -3],\n [0, -4, -3, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 2, 2],\n [-3, -4, 1, -1],\n [1, 4, -3, -2],\n [4, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "627", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, -1, -2],\n [-3, -2, -2, 0],\n [-1, -2, 2, -1],\n [-2, 0, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1510", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, -2, 0],\n [-1, -2, 2, 0],\n [-2, 2, 1, -1],\n [0, 0, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "777", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, -3, -3],\n [1, -2, -1, 2],\n [-3, -1, 0, 2],\n [-3, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3332", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, 1, -3],\n [4, -2, 0, 2],\n [1, 0, -3, 0],\n [-3, 2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5148", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[0, -4, 2, 0],\n [-4, 2, -1, 1],\n [2, -1, 4, 0],\n [0, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, 0, 0, 2],\n [0, 2, -1, 2],\n [0, -1, -2, -2],\n [2, 2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[1, 0, 4, 0],\n [0, 3, -2, 1],\n [4, -2, 3, 2],\n [0, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, -3],\n [-3, -1, -4, 2],\n [-2, -4, -2, -3],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3198", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 3, 0, 0],\n [-3, 2, 1, 0],\n [1, 3, 2, -3],\n [-4, -4, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, -2, 1],\n [-1, 3, 0, -1],\n [0, 3, 0, -2],\n [3, -2, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -4, -2],\n [-2, 1, -4, -2],\n [3, 4, -2, -2],\n [-2, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1078", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-4, 4, -2, -3],\n [-3, 3, 3, 0],\n [1, 4, -2, -1],\n [1, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, 2, 0],\n [2, -4, -2, 2],\n [2, -2, 4, 0],\n [0, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2478", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -4, 0],\n [-2, 0, 0, -1],\n [-4, 0, 0, -2],\n [0, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-469", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, -2, 2],\n [-1, -4, 0, -2],\n [-2, 0, -1, 0],\n [2, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2875", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, -3],\n [4, 0, 0, 1],\n [-4, 0, 2, -2],\n [1, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "435", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, -3],\n [-2, -3, 3, 3],\n [1, 1, 2, 1],\n [2, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "716", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 0, -1],\n [4, 2, 1, -2],\n [1, -3, -3, -1],\n [2, -2, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "790", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 3, 1, 4],\n [0, -1, 2, -3],\n [2, 3, 3, 1],\n [-2, -1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1870", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, -2],\n [0, -4, -3, 1],\n [-1, -3, -1, -2],\n [-2, 1, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-661", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 0, -2],\n [1, 3, 2, -2],\n [0, 2, 0, 0],\n [-2, -2, 0, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 4, -3, -2],\n [2, 3, 4, 2],\n [2, -3, 3, -1],\n [-1, 4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "596", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, 2, 0, -2],\n [2, -2, 4, 4],\n [0, 3, 2, 2],\n [-3, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 2, 0],\n [-2, 1, 3, -4],\n [2, 3, -3, 3],\n [0, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1223", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, 1, 0],\n [3, 3, 3, -3],\n [-3, -4, 4, -3],\n [-1, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1070", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, 3, 0, 4],\n [-4, -3, -2, -1],\n [-3, 1, 2, 2],\n [3, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, -2, 0],\n [0, -4, 2, -2],\n [-2, 2, -1, -3],\n [0, -2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2424", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -4, 0, 0],\n [-4, 1, 3, 1],\n [0, 3, 3, 0],\n [0, 1, 0, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, -3, 0],\n [1, 1, 4, 0],\n [1, -2, -2, 1],\n [1, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, 1, -2],\n [0, -4, 0, -2],\n [1, 0, -1, 2],\n [-2, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3485", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -2, 0, 1],\n [-2, -2, -4, 0],\n [0, -4, -2, 1],\n [1, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3341", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, -2, 1],\n [3, -4, -3, 0],\n [1, -2, 0, 3],\n [-2, 4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -1, 2, 2],\n [-1, 4, -1, 2],\n [2, -1, 2, -1],\n [2, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, -3, -1],\n [-4, 2, 2, 0],\n [-3, -2, -2, -1],\n [-2, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2369", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, 2, -1],\n [4, -3, 1, 4],\n [0, 4, 0, 1],\n [-4, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-762", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -4, 3, 4],\n [-2, 0, 3, -1],\n [-2, -2, 2, -2],\n [-3, -2, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "828", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, 0, -2],\n [-1, -4, 0, 0],\n [0, 0, -2, -3],\n [-2, 0, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6155", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, -3, -2, 4],\n [-4, 3, -4, -2],\n [2, -2, 1, 1],\n [1, 1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-616", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, -4, -2],\n [-1, 4, -2, -1],\n [2, -2, -3, 4],\n [3, -4, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1046", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[0, -3, -4, -1],\n [3, -4, -4, 1],\n [1, -2, -4, 2],\n [-2, 3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "448", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[0, -1, 1, -1],\n [-1, 2, 2, 4],\n [4, 3, -1, 0],\n [3, 4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, -1, 4],\n [2, -4, 2, -2],\n [2, 1, -3, 2],\n [4, -2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1580", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[3, -2, -4, -1],\n [0, -3, 4, -4],\n [-1, -1, -2, 3],\n [1, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "828", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 2, 2],\n [2, 3, 2, 2],\n [2, 2, 1, 2],\n [2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19983", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, 4, -1],\n [-2, -2, -2, 3],\n [1, -3, 0, 1],\n [0, -3, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "758", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, -3, 1],\n [2, -2, -1, 1],\n [-3, 2, 4, 3],\n [2, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1012", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 0, -3],\n [-2, 1, -4, -2],\n [0, -4, 1, 0],\n [-3, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1096", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 2, 1],\n [-1, 2, 4, 2],\n [-2, 0, 0, -3],\n [3, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4716", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -3, 4, 1],\n [2, -3, 1, -2],\n [-4, -1, 2, 4],\n [1, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-1, -2, -2, -2],\n [-2, -3, 2, 1],\n [-2, 2, 4, 2],\n [-2, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 4, 0],\n [-2, -3, 2, -2],\n [4, 2, -4, -4],\n [0, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2778", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, 2, 4],\n [-2, 4, 0, 2],\n [2, 0, -2, -4],\n [4, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2357", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[3, -2, -3, 0],\n [3, 3, 2, 4],\n [-4, 2, 2, -3],\n [-1, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, 1, 0],\n [4, 3, 0, -1],\n [-1, -4, 4, -1],\n [-2, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[4, -2, 0, 1],\n [-2, 0, 3, -2],\n [0, 3, 0, 2],\n [1, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -4, -3, 0],\n [4, 3, -1, -1],\n [-2, 2, -1, 0],\n [-3, 1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1183", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[2, 2, 0, -1],\n [2, -2, 2, 1],\n [0, 2, 3, 1],\n [-1, 1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, -2, -3],\n [1, -1, 4, 0],\n [4, -4, -4, -4],\n [-3, 3, 3, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -3, -3],\n [-2, 3, 4, 1],\n [-3, 4, 3, -1],\n [-3, 1, -1, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, 2],\n [1, 2, 2, 4],\n [1, 2, 3, 1],\n [-2, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "652", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 3, -2],\n [0, 4, 0, 0],\n [3, 0, 2, -2],\n [-2, 0, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "930", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 1, -3, -3],\n [-1, -3, 3, -4],\n [2, 1, 2, 1],\n [1, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2576", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, -2, 2, 0],\n [-2, 2, 4, -3],\n [0, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "418", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -3, -2, -2],\n [-3, -2, 0, 0],\n [-2, 0, 0, 1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5323", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 0, 4],\n [0, -3, 1, 0],\n [-4, 4, -2, 0],\n [-3, -4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "373", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-3, -4, -1, -4],\n [2, -1, 0, -2],\n [2, -4, -4, 3],\n [-4, -1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "511", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 0],\n [-2, 3, 0, 0],\n [0, 0, 4, 0],\n [0, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "354", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, 2, -2],\n [4, 4, -2, 0],\n [2, -2, -3, 1],\n [-2, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5762", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 3, -2],\n [-2, -3, 4, -4],\n [3, 3, -3, -1],\n [-3, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22344", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, -2, -2],\n [-1, -3, 0, -4],\n [-2, 0, 1, -4],\n [-2, -4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2466", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, -2],\n [0, 1, 3, 2],\n [0, 3, 2, 0],\n [-2, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2251", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 2, 0, 0],\n [0, 0, -4, -2],\n [0, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "726", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, 0, 0],\n [4, 1, 1, 3],\n [0, 1, -3, 2],\n [0, 3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[1, 1, 2, 1],\n [1, -4, 0, 0],\n [2, 0, 0, -1],\n [1, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, -4, 2],\n [-2, -1, 4, -2],\n [4, -2, 0, -1],\n [-2, -3, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "801", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, -3, -2],\n [4, 0, 2, -1],\n [-1, 3, 0, 2],\n [3, 0, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2178", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, -3, 0, -2],\n [0, 1, -3, -1],\n [-4, -2, -2, 3],\n [-1, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, -1, 2],\n [-3, 4, 4, 1],\n [0, 1, -2, 3],\n [-3, -3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-1, -2, 4, -1],\n [-2, -1, 1, 0],\n [4, 1, 0, -2],\n [-1, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[3, 2, -4, -1],\n [2, -2, 3, -3],\n [-3, 3, 3, -1],\n [-3, 1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0, -2],\n [-2, 2, -1, -2],\n [0, -1, 2, 1],\n [-2, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1486", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -2, 2],\n [3, 2, -1, -1],\n [3, -4, 3, 2],\n [4, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "646", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -2, 3],\n [0, -2, -2, 1],\n [-2, -2, 3, 3],\n [3, 1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "908", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 0, 2],\n [-2, 4, 1, 0],\n [0, 1, 0, 0],\n [2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3118", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, 4, 0, -4],\n [-3, 4, -1, -2],\n [-4, 4, -3, 1],\n [-3, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, 3, 0],\n [2, -3, 2, 3],\n [-4, 4, -1, 0],\n [1, 4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1040", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, -4, 4, 0],\n [1, 3, 1, 1],\n [2, 2, -2, -4],\n [3, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -2, 0],\n [-1, 1, 0, 2],\n [-2, 0, 3, 0],\n [0, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-3, 0, 0, -4],\n [0, -4, 2, -2],\n [0, 2, -3, 2],\n [-4, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, -2, 3],\n [-1, 4, 2, 3],\n [-2, -3, -4, 0],\n [2, 1, 0, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 2, 4],\n [0, 0, -1, 0],\n [2, -1, 1, -4],\n [4, 0, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 2, 0],\n [4, 0, 1, -4],\n [1, -1, -1, -4],\n [-4, 3, -4, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 3, 4, 3],\n [1, -4, -3, 1],\n [-2, 3, 0, 4],\n [-3, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, -2],\n [-2, -3, 0, 0],\n [0, 0, -1, -2],\n [-2, 0, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2580", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, 4, 0],\n [-1, -1, 0, -3],\n [4, 0, -3, 2],\n [0, -3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[3, 0, -3, -2],\n [0, -1, 0, 2],\n [-3, 0, -2, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, 2, 0],\n [2, -1, -2, -3],\n [2, -2, -1, 1],\n [0, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2740", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -4, 2, -4],\n [-4, -2, 4, 3],\n [3, -3, 0, 0],\n [-3, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 0, -2],\n [-1, 0, 0, 0],\n [0, 0, 0, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 4, -4],\n [2, -4, 0, 2],\n [3, -3, 0, 1],\n [4, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10684", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-4, -1, 0, -4],\n [-4, 0, 3, -3],\n [0, -1, 2, -3],\n [-2, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[4, 0, -1, 0],\n [0, 1, 2, 0],\n [-1, 2, -2, 3],\n [0, 0, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 4, 3],\n [-4, 3, 2, 4],\n [0, 0, 4, 2],\n [1, -2, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1379", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, 1, 0, 2],\n [1, 4, 0, 0],\n [0, 0, 1, -2],\n [2, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 2, -1],\n [1, 4, -3, -1],\n [0, -2, 1, -4],\n [-3, 4, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 3, 3, 0],\n [-1, -4, 3, -2],\n [4, -2, -3, -2],\n [3, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1082", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -3, 0, -1],\n [-3, 0, 1, 2],\n [0, 1, -4, -3],\n [-1, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, 1, -4],\n [2, 2, 0, 3],\n [-3, -4, -1, -3],\n [0, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, 2, 0, 2],\n [2, 2, 2, -1],\n [0, 2, -3, 0],\n [2, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, -4, -3],\n [-2, 2, 1, -4],\n [-2, 4, -1, -4],\n [-4, -3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-457", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -2, -2],\n [-2, 2, -4, 4],\n [-2, -4, 2, 2],\n [-2, 4, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1240", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, -1, 4, -2],\n [-1, -4, 2, 2],\n [4, 2, 3, 0],\n [-2, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -2, 0],\n [-1, -3, 0, 2],\n [-2, 0, -4, 0],\n [0, 2, 0, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -2, -3, 3],\n [-2, -1, 0, 4],\n [2, -4, 3, -2],\n [1, 3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4318", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, 1, 3],\n [-3, -2, -2, 4],\n [0, -4, 2, -4],\n [-3, -1, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "456", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -4, -2, 3],\n [2, 1, 2, -4],\n [1, 0, 4, -1],\n [-3, -3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -4, 1, 1],\n [-4, 1, 0, -3],\n [-4, -4, -1, -1],\n [0, 1, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1685", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 0, 0],\n [-1, -3, 2, 3],\n [0, 2, 0, -4],\n [0, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1213", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-4, 1, -3, 1],\n [-2, -1, 2, -3],\n [1, -4, -2, 2],\n [2, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -1, 3, -1],\n [-1, -2, -2, 0],\n [3, -2, -1, 2],\n [-1, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2484", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -1, -1],\n [-3, 1, -1, 3],\n [-4, -2, 1, -3],\n [2, 1, -1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 3, -2],\n [2, 0, 2, 0],\n [3, 2, -4, 2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, 4, 0],\n [-1, -4, 2, -3],\n [-1, 0, -3, -3],\n [-3, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 0, -2],\n [0, -4, -1, 3],\n [0, -1, -4, 0],\n [-2, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8692", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 1, 0],\n [2, -1, 0, -2],\n [1, 0, -2, -2],\n [0, -2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1302", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, -1, -1],\n [-2, -2, -1, 2],\n [-2, 2, 3, -2],\n [-3, 1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[3, 1, 1, 0],\n [1, -3, -4, -2],\n [1, -4, 2, -1],\n [0, -2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 2, 0],\n [0, 2, -2, 0],\n [2, -2, -2, 0],\n [0, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 1, 0],\n [-2, 0, 0, 0],\n [1, 0, -4, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 1, 0, 0],\n [1, 3, 0, 0],\n [0, 0, -3, 2],\n [0, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 2, -3],\n [-2, 1, -4, 0],\n [2, -4, 0, 0],\n [-3, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, 0, 3],\n [0, 3, 1, 2],\n [-2, 0, 1, -2],\n [-1, -3, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2974", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 0, 1],\n [1, -1, -4, -3],\n [-1, -1, -2, 2],\n [3, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "587", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-3, -2, 0, 2],\n [-2, -2, -2, 2],\n [0, -2, -2, 0],\n [2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-4, 4, 4, -4],\n [0, -4, 2, -1],\n [-3, -3, -3, -2],\n [-1, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-410", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 3, -2],\n [0, -2, 2, -1],\n [3, 2, -4, 2],\n [-2, -1, 2, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-452", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[1, 1, -1, 0],\n [1, -4, 0, 0],\n [-1, 0, -3, -3],\n [0, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[3, 0, -2, 2],\n [0, -4, -4, 0],\n [-2, -4, -2, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-4, 2, 0, 0],\n [2, 3, 3, 1],\n [0, 3, 4, -1],\n [0, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, -1, -1],\n [3, -3, 1, 2],\n [-1, -4, 1, -2],\n [3, -1, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "579", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-2, 0, 0, -2],\n [0, -4, 0, -4],\n [0, 0, 2, 0],\n [-2, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 0, 1],\n [2, -2, 1, 0],\n [0, 1, -3, 3],\n [1, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[1, 2, 0, -4],\n [-4, 1, -2, -2],\n [-2, -2, -4, 1],\n [2, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 4, 2],\n [2, -4, 0, 0],\n [4, 0, 0, 2],\n [2, 0, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11360", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, 0, 1],\n [-3, -3, 2, 0],\n [0, 2, 4, 0],\n [1, 0, 0, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 4, -2],\n [2, -1, 3, 0],\n [4, 3, 0, 2],\n [-2, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2794", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, -2, 0],\n [1, 0, 0, 1],\n [-2, 0, 4, 1],\n [0, 1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "514", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 4, 1, 1],\n [-4, -3, 3, 2],\n [-2, -2, -3, 4],\n [-4, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6346", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -3, 2],\n [-2, 2, -2, 0],\n [-3, -2, -2, 0],\n [2, 0, 0, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, 0],\n [2, 4, 2, -2],\n [0, 2, -4, 0],\n [0, -2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, 0, 4, 2],\n [0, 3, 2, 2],\n [4, 2, 2, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "660", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 3, 0, 0],\n [3, 2, 0, 2],\n [0, 0, 4, -3],\n [0, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2882", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[3, 0, -1, 0],\n [0, 2, -2, 0],\n [-1, -2, 2, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, -1],\n [-3, 3, 4, -1],\n [2, -3, 1, 3],\n [1, 3, -1, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 0, 1],\n [-1, 4, 2, 4],\n [0, 2, 3, 2],\n [1, 4, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2323", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 1, 4, -2],\n [-3, 3, 3, 1],\n [-3, 2, -2, -2],\n [0, -3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1982", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 1, -3],\n [-1, 2, 3, 1],\n [-1, 1, -2, 4],\n [4, 2, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 0, -2],\n [-1, 4, 2, 0],\n [0, 2, 3, 2],\n [-2, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-1, 1, 0, 4],\n [0, -1, -2, 4],\n [-3, -4, 4, 4],\n [-4, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "737", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -1, 0],\n [0, 1, -2, -4],\n [-1, -2, 1, -4],\n [0, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8254", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -1, -4, -2],\n [-1, 4, 4, 0],\n [-4, 4, 3, 1],\n [-2, 0, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[0, -4, 2, -4],\n [1, 0, -1, -3],\n [-2, -1, 1, 3],\n [1, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -2],\n [3, -3, 4, 1],\n [-1, -4, 0, 3],\n [1, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2010", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, -1],\n [0, 4, 0, -1],\n [2, 0, 3, -2],\n [-1, -1, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, -1, 4, -2],\n [-3, 1, -2, 0],\n [-4, 0, -3, -2],\n [0, -2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 4, 0],\n [1, 4, 0, 0],\n [4, 0, -4, -1],\n [0, 0, -1, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-3, 0, -1, 2],\n [0, 2, 0, -2],\n [-1, 0, -3, -2],\n [2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, 3, 0],\n [-3, 0, 4, 1],\n [-1, -1, -2, 0],\n [-4, 0, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -3, 2],\n [0, 3, 0, 4],\n [-3, 0, 2, 3],\n [2, 4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1781", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -3, 4],\n [-4, -3, 0, -3],\n [-4, -4, 3, -4],\n [2, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 2],\n [0, -4, 0, 0],\n [0, 0, -4, -2],\n [2, 0, -2, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 0, 2],\n [-4, -1, 2, 0],\n [0, 2, 2, 3],\n [2, 0, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2772", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, -2],\n [2, 1, -1, 0],\n [-2, -1, -4, -2],\n [-2, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4843", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, 2, 2, 1],\n [0, 1, 3, -3],\n [-3, 2, -2, -2],\n [2, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "574", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, -2, -2],\n [0, 1, 0, 0],\n [-2, 0, 1, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, -2, -1],\n [0, -4, 4, -3],\n [-2, 4, 3, 0],\n [-1, -3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1338", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, 4, 1],\n [1, -2, -2, 2],\n [4, -2, -1, -2],\n [1, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[4, -2, -1, 2],\n [-2, -1, 0, -2],\n [-1, 0, 2, 0],\n [2, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "664", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, -1, 0],\n [4, 3, -2, 4],\n [-2, 3, -4, -4],\n [-3, 1, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4436", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-1, 4, -4, 0],\n [4, 0, 2, 0],\n [-4, 2, -1, 2],\n [0, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1002", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, -2],\n [2, -4, -4, -4],\n [-2, -4, -2, -3],\n [-2, -4, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36015", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 0, -3],\n [0, 1, -2, -3],\n [-4, 1, 3, 3],\n [-2, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, -3, 0],\n [0, -2, -1, -3],\n [1, -2, 2, 1],\n [0, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[1, 0, -2, 0],\n [0, 0, 3, 1],\n [-2, 3, 3, -3],\n [0, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[1, 2, 2, -1],\n [3, 1, 1, 0],\n [3, 3, 0, -2],\n [-3, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "218", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, -2, -4, -1],\n [4, -2, 2, 2],\n [3, 4, 0, -4],\n [-3, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, 1, -4],\n [1, 2, 2, 2],\n [1, 2, 2, -2],\n [-4, 2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "984", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -1, 1],\n [-2, -1, -1, 3],\n [4, -2, -3, 4],\n [-3, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3492", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, -2],\n [0, 0, 1, 3],\n [0, 1, 2, 0],\n [-2, 3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, -3, -3],\n [-4, 2, 3, 4],\n [-2, 0, -3, -1],\n [-2, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "848", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -2, 0],\n [3, 3, 1, 4],\n [2, -4, 1, -3],\n [-1, -3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -3, 2],\n [1, 0, 4, 0],\n [2, 4, 0, 4],\n [1, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2632", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, -4],\n [-3, 2, -1, 4],\n [4, 0, 4, -4],\n [4, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "477", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -2, -1],\n [0, -4, -3, 0],\n [-2, -3, 1, -2],\n [-1, 0, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "734", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, -1, 0],\n [0, 1, -2, 2],\n [-1, 2, 4, 3],\n [-2, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "497", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, 2, -1],\n [1, 3, 1, -4],\n [-2, -3, 0, -4],\n [-1, -4, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2233", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 0, -1],\n [3, 2, 0, 2],\n [0, 0, -2, 0],\n [-1, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "526", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 2, 2],\n [1, 3, 0, 4],\n [2, 0, 1, 0],\n [2, 4, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 4, -2, 1],\n [-3, 2, 1, -3],\n [3, -2, 4, -1],\n [-1, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "996", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 3, -2, 2],\n [3, 2, -2, -2],\n [-2, -2, 0, 4],\n [2, -2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, -1, 2],\n [-3, 4, -3, 2],\n [-2, 2, 1, 4],\n [-3, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3424", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 1, 0, 2],\n [-2, 2, -3, -1],\n [3, -4, 1, 0],\n [1, -4, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, 2, 2, 2],\n [4, -3, -2, -1],\n [3, -4, 4, -3],\n [-4, 3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 1, 1],\n [4, -3, 3, -4],\n [4, 1, 4, 2],\n [0, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "269", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, 0, 0],\n [1, 0, -1, 1],\n [0, -1, 1, 0],\n [0, 1, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-1, 0, 2, 2],\n [0, 0, 0, 0],\n [2, 0, 3, -4],\n [2, 0, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, -1, 2],\n [2, 1, 2, -2],\n [-1, 2, -3, 2],\n [2, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14006", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 3, -3, 2],\n [4, 4, 2, 0],\n [-3, -2, 0, -4],\n [1, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, -2, -4],\n [1, 2, 1, 0],\n [-2, 1, 4, -2],\n [-4, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4612", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, 1, 2],\n [1, 0, -3, -1],\n [1, -3, -2, 0],\n [2, -1, 0, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, -1, 1, 4],\n [-3, -4, -1, 4],\n [-1, 1, -2, -2],\n [-1, 4, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 2, 2],\n [-1, -2, -3, 4],\n [3, 2, -1, 2],\n [4, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "553", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-2, -2, -1, 1],\n [-2, 0, 4, 1],\n [-1, 4, -1, -1],\n [1, 1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 0],\n [0, 1, 4, 4],\n [2, 4, -1, 0],\n [0, 4, 0, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "733", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 4, -2],\n [-3, 0, 0, -3],\n [4, 0, 1, -2],\n [-2, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11573", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 0, -1],\n [3, 1, -2, -2],\n [0, -2, 2, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4464", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[0, 2, -2, 3],\n [1, -4, -4, 2],\n [-3, -4, 2, 0],\n [-1, 4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, -1, 3],\n [2, 1, 2, 0],\n [-1, 2, -1, 1],\n [3, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3965", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, 0, -2, 2],\n [0, -2, -2, -3],\n [-2, -2, -1, 0],\n [2, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -3, 2, -3],\n [4, -1, -2, 4],\n [-4, -2, 2, -4],\n [2, 1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "233", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, 1, 1],\n [-4, 3, 4, -3],\n [0, -3, -3, -1],\n [-3, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[1, 3, 2, 0],\n [-4, -3, -1, 2],\n [1, -4, -3, -1],\n [-4, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, -4, 0],\n [1, -2, 1, 4],\n [-2, 4, -2, -1],\n [4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-238", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 2, 3],\n [2, -1, -1, 0],\n [2, -1, 2, 0],\n [3, 0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1918", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, -1, -2],\n [-4, -2, 0, 0],\n [-1, 0, -2, 1],\n [-2, 0, 1, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[2, -2, 0, -2],\n [-3, 4, 0, 4],\n [0, -3, -4, -4],\n [3, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1, -3],\n [3, 4, -3, 1],\n [1, -3, -3, 3],\n [0, -3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-843", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[3, 2, 2, -4],\n [2, 2, 2, -2],\n [2, 2, -2, 0],\n [-4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[1, -4, 3, 4],\n [-1, 3, -3, 2],\n [-1, 0, 1, 3],\n [0, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -4, 0],\n [0, 4, 2, -2],\n [-4, 2, 2, -2],\n [0, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2658", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 3, 0],\n [4, -3, 2, 3],\n [3, -2, -2, -1],\n [1, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 1],\n [0, -3, -2, 2],\n [0, -2, -1, 0],\n [1, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0, 4],\n [4, 2, 4, -4],\n [-3, -2, 2, -1],\n [2, -4, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, 0, 1],\n [-1, 0, 0, -1],\n [0, 0, 3, 2],\n [1, -1, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "525", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -1, 0],\n [-2, 2, 0, 2],\n [-1, 0, -3, 0],\n [0, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 3, 4],\n [-4, 1, 0, -2],\n [-1, -4, 0, -2],\n [2, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2933", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 3, 4],\n [2, 1, 4, 2],\n [-2, 0, 3, -1],\n [3, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "982", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, 2, -2, 0],\n [2, 2, -1, -1],\n [-2, -1, -3, -2],\n [0, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 1, 0],\n [-2, -4, -2, 0],\n [1, -2, 4, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4769", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, 2, -1],\n [-3, 0, 0, -2],\n [2, 0, 4, 0],\n [-1, -2, 0, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[4, 0, -3, 3],\n [-2, 3, 3, 3],\n [2, 1, 2, 1],\n [4, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "846", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 1, 0, 2],\n [1, 4, -3, 0],\n [0, -3, 3, -1],\n [2, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, 2, 0],\n [4, -2, -3, 0],\n [4, 3, 2, 4],\n [4, 4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, 2],\n [2, -1, 2, 0],\n [0, 2, -2, -3],\n [2, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-2, -3, 1, -3],\n [4, -2, -1, -1],\n [-1, 3, -1, 2],\n [3, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "729", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 4, -3],\n [-3, -1, 2, 4],\n [2, 4, -4, -2],\n [-4, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16851", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -4, 1, 0],\n [3, 1, 4, 4],\n [-3, -2, -1, 4],\n [-2, 4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "886", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, -2, 0],\n [4, 3, 0, 2],\n [-2, 0, -4, -2],\n [0, 2, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-189", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[1, 3, 2, 2],\n [-1, 0, 2, 2],\n [-1, -4, -4, 0],\n [-3, -3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, 0, -3],\n [3, -3, -2, -4],\n [0, -4, -3, -1],\n [-2, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12675", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -2, 0],\n [2, 2, 0, 0],\n [1, 1, -4, -2],\n [1, 4, -1, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-3, -4, 0, 2],\n [-4, 2, 1, 4],\n [-4, 2, 2, 0],\n [4, 4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -1, -2],\n [0, 1, 0, 0],\n [-1, 0, 0, 2],\n [-2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "447", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 0, 0],\n [2, -2, 0, -4],\n [0, 0, 3, 4],\n [0, -4, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1715", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -3, 0],\n [-3, 3, 1, -1],\n [-2, 1, -4, 0],\n [-2, -4, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "650", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, -3, 1],\n [-3, -3, 2, -2],\n [2, -4, 4, -1],\n [-2, -4, -4, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, 2, -4],\n [-1, 0, 3, 0],\n [-2, 4, -1, 2],\n [4, -4, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1500", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[1, 0, 2, 2],\n [0, 0, 3, -3],\n [2, 3, -1, 2],\n [2, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 0, 1],\n [-1, 3, 2, -1],\n [0, 2, 2, 4],\n [1, -1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "839", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 2],\n [0, 4, 3, 0],\n [0, 3, -3, -1],\n [2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "448", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[2, 2, 0, 0],\n [2, 1, -2, 0],\n [0, -2, 2, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-2, 1, 0, 0],\n [1, -3, 0, -2],\n [0, 0, -2, -4],\n [0, -2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -2, -2],\n [2, 0, 2, 0],\n [-2, 2, -2, -2],\n [-2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 2, 2],\n [3, 1, -3, -1],\n [-2, 4, -4, -3],\n [-2, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1166", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 0, 1],\n [-1, 2, -3, -3],\n [0, 2, 2, -4],\n [2, 3, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 1],\n [0, 3, 2, 1],\n [0, 2, 4, 0],\n [1, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2608", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-3, 4, -2, 2],\n [0, -4, -2, 4],\n [-3, -1, 1, 4],\n [4, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-680", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, 4, -2],\n [0, -1, -1, 2],\n [-2, 3, 2, -3],\n [-4, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-550", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-3, -2, 0, 0],\n [-2, 3, -1, 0],\n [0, -1, 2, -1],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -2, 0],\n [-2, 0, 2, -4],\n [-2, 2, -3, 0],\n [0, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "819", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 3, 1],\n [0, 1, 0, 4],\n [1, 0, 2, 4],\n [2, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1869", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, 3, -2],\n [-4, 0, -1, 0],\n [-2, 1, 0, -3],\n [2, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "730", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, -4, 0],\n [1, 1, 4, -4],\n [2, -1, 2, 4],\n [1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, 2],\n [-2, 2, 4, 2],\n [-2, 3, -4, -2],\n [1, -2, -1, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -2, 1],\n [-3, -4, -2, 2],\n [-2, -2, 2, 4],\n [-1, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1218", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 2],\n [0, -3, 2, 0],\n [0, 2, -1, 0],\n [2, 0, 0, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 2, 0],\n [0, -1, -3, 2],\n [2, -3, 1, 1],\n [0, 2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4015", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 0, -2],\n [-2, 4, 0, 3],\n [0, 0, 4, -2],\n [-2, 3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1113", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-2, 0, 2, 0],\n [0, 3, -2, 2],\n [2, -2, -1, 2],\n [0, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[4, 1, 2, 0],\n [1, -1, 0, -2],\n [2, 0, 0, 3],\n [0, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 4, -3, 0],\n [0, 1, 1, 1],\n [0, -3, 1, -3],\n [0, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 1, 4, 4],\n [1, -3, 3, -4],\n [0, -1, 2, 4],\n [-3, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1069", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -2],\n [-2, -4, -2, -2],\n [0, -2, 1, 0],\n [-2, -2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2925", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -3, -4],\n [-3, -1, 4, 1],\n [-1, -4, -3, -1],\n [-2, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "523", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-4, 4, 0, -2],\n [4, 2, -2, -3],\n [0, -2, 4, -2],\n [-2, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1320", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, -2, -1],\n [-4, 3, 2, 0],\n [-2, 2, -2, 2],\n [-1, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14250", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 0, -2],\n [2, 0, 0, 2],\n [0, 0, 1, 1],\n [-2, 2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4742", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 1, 0, -4],\n [4, -4, 3, -4],\n [-4, 0, -1, -1],\n [4, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1413", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, 1, -2],\n [-4, -2, 1, -3],\n [1, 1, 0, -2],\n [-2, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, -2, 1],\n [1, 4, 4, 0],\n [0, 4, -3, -4],\n [-4, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6654", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-2, -2, 0, 1],\n [-2, 1, 1, -2],\n [0, 1, -2, 0],\n [1, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 4, 0],\n [-1, 3, 2, -1],\n [4, 2, -3, 0],\n [0, -1, 0, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -1, 3],\n [-4, 3, 0, -4],\n [2, 1, -3, -4],\n [2, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1383", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 4, -3],\n [-1, 1, -3, 0],\n [4, -3, 2, -2],\n [-3, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1941", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -3, 1],\n [-4, 2, 0, 2],\n [4, -3, 0, 4],\n [-2, -3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 3, 1],\n [0, -2, -1, 0],\n [3, -1, 4, -3],\n [1, 0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1055", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, 0, 4],\n [1, -3, -2, 2],\n [4, -3, -1, -3],\n [-4, -1, 4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "438", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -4, -1, -2],\n [2, 3, -3, -4],\n [-2, 4, -4, 1],\n [4, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4040", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -1, 2],\n [3, 4, -3, 3],\n [-1, 0, 2, 0],\n [2, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "795", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, -4, 4],\n [-2, 4, -2, -1],\n [3, 1, -2, 4],\n [0, -1, 2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, 4, 3],\n [3, 3, 1, 3],\n [3, -4, 1, 0],\n [-2, 2, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 1, 0, -4],\n [1, 4, 4, 4],\n [0, 4, 3, 4],\n [3, -4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2734", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-2, 4, -3, -4],\n [1, -1, 4, 2],\n [-3, -3, 3, 2],\n [-4, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-210", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[3, -2, 3, -2],\n [2, -3, 3, 4],\n [1, -4, -3, -3],\n [1, -4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[0, -3, 3, -1],\n [0, 4, 0, -3],\n [-2, -2, -3, 3],\n [3, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 1, 0],\n [2, -2, 0, 1],\n [1, 0, 3, 0],\n [0, 1, 0, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 0, -2],\n [3, 4, -1, 3],\n [2, -3, 0, 1],\n [2, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 4],\n [0, -3, 4, -2],\n [0, 4, -2, 0],\n [4, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, 0, 3, -2],\n [0, 3, 2, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, -3, -1],\n [-2, 1, 4, -2],\n [0, 3, -3, -1],\n [-3, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, -2, -2],\n [0, 3, -1, 2],\n [-2, -1, -2, 0],\n [-2, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "955", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, -1, -2],\n [4, 3, 2, 0],\n [0, 1, -4, 0],\n [2, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "933", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[1, -4, -1, -1],\n [0, 1, 3, 2],\n [-2, -1, -3, -3],\n [0, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-1, 0, -3, 2],\n [0, 1, 0, -3],\n [-3, 0, 4, -2],\n [2, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[3, 0, -2, 0],\n [0, 4, -2, 0],\n [-2, -2, 0, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 2, 1],\n [0, 0, -1, 0],\n [2, 4, -2, 4],\n [4, 3, -4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2434", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, 2, -1, 0],\n [2, -2, 0, 4],\n [-1, 0, 4, 0],\n [0, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-3, 2, -4, 2],\n [2, 1, -3, 0],\n [-4, -3, 1, 1],\n [2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -3, 2, 3],\n [0, -2, 2, 0],\n [4, -3, 3, -2],\n [4, 1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4046", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, -2, -1],\n [1, 2, -2, 3],\n [-1, 1, 3, 2],\n [-3, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2850", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 0, -4],\n [4, 4, 3, 1],\n [-4, -2, 2, 0],\n [-4, -4, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, -4, -2],\n [-1, 0, 4, -1],\n [-4, 0, 4, -4],\n [-2, 4, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6192", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[3, 2, 1, 3],\n [1, 0, -3, -2],\n [0, 1, 4, 2],\n [-2, 4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0, -1],\n [3, 2, 4, 4],\n [4, 2, -3, 1],\n [4, -1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "821", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, 0, 2, -1],\n [0, -3, 3, 2],\n [2, 3, 3, 2],\n [-1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, -1, 3],\n [-4, -2, 1, 1],\n [2, -2, -3, -3],\n [-2, -3, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7232", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, 0],\n [2, 3, 2, 2],\n [0, 2, 3, -2],\n [0, 2, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "850", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, -2, 0],\n [-1, 1, -2, 0],\n [-2, -2, 0, -3],\n [0, 0, -3, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, -2, -3],\n [-2, 3, -2, -1],\n [4, 0, -4, -3],\n [1, -3, 4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 2, 2],\n [-4, -3, 1, -1],\n [-2, -3, -3, 3],\n [-3, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "872", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -2, 2],\n [0, 3, -4, -1],\n [-2, -4, -4, 2],\n [2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8037", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, -4, 0],\n [-4, 1, 3, 2],\n [0, -1, -1, -3],\n [-2, 1, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2595", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-3, 0, -1, 0],\n [0, -1, -2, 3],\n [-1, -2, 2, -2],\n [0, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-474", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 4, 0, -4],\n [4, -2, 0, 0],\n [0, 0, 3, -1],\n [-4, 0, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, -4, -1],\n [2, -2, -2, -3],\n [2, -2, 3, 4],\n [3, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-894", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, 1, -2, 0],\n [1, 4, 0, -2],\n [-2, 0, 0, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 4, -4, -4],\n [1, -2, 3, 0],\n [-4, 3, -2, 4],\n [3, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9540", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, -2, -4],\n [-1, 4, -2, 1],\n [-2, -2, 4, 0],\n [-4, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5332", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 3, 4],\n [-4, 0, 1, -1],\n [-2, -4, 2, 1],\n [-2, -2, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "832", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 2, 4],\n [2, -2, 0, -2],\n [-3, -1, -2, -2],\n [-1, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, 0, -2],\n [2, 4, 3, -1],\n [0, 3, 3, 0],\n [-2, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4857", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-1, -4, 0, -1],\n [-3, 1, -3, -1],\n [-2, -4, 2, -2],\n [-3, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 0, -2],\n [4, 2, 1, 2],\n [0, 1, 3, 2],\n [-2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7949", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, 2, 4, 0],\n [3, 4, -4, -2],\n [4, 1, -2, -4],\n [4, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 1, -2],\n [1, -2, 0, 1],\n [-3, -4, -2, -4],\n [3, 2, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, -4, -1],\n [-3, -3, -1, -2],\n [1, 0, -2, 0],\n [1, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2418", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-3, 0, 2, 0],\n [0, 4, -2, 2],\n [2, -2, -4, -2],\n [0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 4, -3],\n [-2, 4, -2, 2],\n [1, 1, 1, 1],\n [-3, 3, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, 2],\n [0, -2, -2, 2],\n [-1, -2, 4, 2],\n [2, 2, 2, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, 3, 2],\n [4, 3, -3, 0],\n [-2, 1, -2, -3],\n [3, 3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8172", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -4, -3],\n [-3, 4, -3, 1],\n [-3, 1, 4, 4],\n [3, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "855", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, 2, 4],\n [1, -1, 4, -4],\n [1, 4, 0, -3],\n [3, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, 1, -4],\n [0, -3, 4, 2],\n [-3, -2, 1, -2],\n [3, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "506", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-2, 1, -3, -3],\n [-3, -3, 0, 1],\n [-1, -3, -2, 4],\n [4, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "286", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -3, -1],\n [2, 2, 0, -1],\n [-3, 0, 4, 1],\n [-1, -1, 1, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, -1, -3],\n [-2, 0, 4, 0],\n [3, 4, 2, 3],\n [-3, 3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "571", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, 0, -1],\n [-4, -1, -3, -2],\n [-1, 2, 2, 2],\n [0, 1, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, 0, 0],\n [-4, 1, -2, -1],\n [0, -2, -1, 0],\n [0, -1, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4581", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[2, 2, 0, 2],\n [2, 1, 1, 1],\n [0, 1, 0, -3],\n [2, 1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "465", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, -2, 0],\n [1, -1, 3, 1],\n [-2, 3, 4, 0],\n [0, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1529", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 4, -2],\n [1, 0, 2, -2],\n [0, -3, 4, -4],\n [4, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1580", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, 0, -1],\n [-2, 2, 1, 2],\n [0, 1, -1, -2],\n [-1, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "666", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, -4, 0],\n [2, -2, 0, -2],\n [-4, 0, -3, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6285", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0, -2],\n [2, 1, -4, 0],\n [0, -4, -3, 0],\n [-2, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-325", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 0, 3],\n [-1, -2, -1, 4],\n [-4, -3, -3, 4],\n [-2, 2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9785", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -4, -2, 3],\n [-2, 1, 1, -3],\n [-4, -1, -3, 4],\n [-2, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "883", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 2, 4],\n [2, -3, -2, -3],\n [2, -2, -1, 0],\n [4, -3, 0, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, -4, 0],\n [-1, -2, 2, -2],\n [-4, 2, -4, -3],\n [0, -2, -3, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[1, 2, -2, -1],\n [2, -4, -4, -3],\n [-2, -4, -4, 0],\n [-1, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2524", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -4, 3, -2],\n [3, 1, 1, -3],\n [2, 1, -1, -2],\n [4, 0, -1, 4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, 4, 1],\n [-2, 2, -4, -4],\n [1, 2, 2, -4],\n [0, 1, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "614", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 1, 1],\n [-2, 4, 0, 0],\n [1, 0, 0, -2],\n [1, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, -2, -1],\n [-3, -3, -1, -4],\n [-3, -3, -3, -1],\n [1, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, -1, 0, -2],\n [-1, -1, -2, -2],\n [0, -2, -4, 1],\n [-2, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, 2, 0],\n [-1, -3, 0, -1],\n [2, 0, -3, 2],\n [0, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4204", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 1, 2, 4],\n [-3, 0, -4, -1],\n [-3, -1, 4, 2],\n [-4, 4, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5723", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 0, 0],\n [3, 0, 3, -1],\n [0, 3, -4, 1],\n [0, -1, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 3, -3, -4],\n [1, 1, 2, -1],\n [-2, 3, 4, 4],\n [-3, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2726", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 1, -3],\n [-4, 3, 2, 2],\n [0, -1, 2, -1],\n [3, -3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, 1, 0],\n [-1, 4, -4, 2],\n [1, -4, 3, -2],\n [0, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18097", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 3, 0],\n [0, 1, 2, 0],\n [3, 2, -4, 2],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "695", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, -1, -3, 0],\n [-1, 4, 0, -1],\n [3, -1, -1, 3],\n [1, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0, 0],\n [1, 0, 2, 2],\n [0, 2, -1, 2],\n [0, 2, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -1, 3],\n [0, -3, 2, -1],\n [-1, 2, 4, 2],\n [3, -1, 2, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[4, -1, -4, -4],\n [3, -4, -4, -3],\n [-1, 1, 1, -1],\n [3, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, 2, -1, -2],\n [2, 3, 4, -2],\n [-1, 4, -4, -3],\n [-2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, -1, -3],\n [-1, 0, 4, -1],\n [-1, 4, 0, -4],\n [-3, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1196", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, 1],\n [0, -2, 2, 0],\n [-2, 2, -2, 0],\n [1, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[2, 0, 3, -2],\n [0, -3, 2, -2],\n [-3, 4, -3, -2],\n [1, -3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 0, 2, 2],\n [0, -3, -3, 3],\n [2, -3, 1, 1],\n [2, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 1, -3],\n [-4, 1, -3, 4],\n [-4, -2, 1, 3],\n [3, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "660", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 0, 0],\n [-2, 1, 1, 0],\n [0, 1, 3, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1696", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, 0, 1, -1],\n [-3, 1, 3, 2],\n [0, -3, 0, -4],\n [-1, 2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 2, -1],\n [0, 3, -1, -2],\n [2, -1, 3, 1],\n [-1, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, 2, 3],\n [0, 3, -1, 3],\n [-3, 1, 0, 4],\n [-2, 0, -2, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -1, 2],\n [4, -2, -3, 2],\n [-3, 1, -3, -3],\n [-1, -1, 3, 2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -4, -2, -1],\n [-4, 1, 0, 0],\n [-2, 0, -2, -1],\n [-1, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-273", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -2, 0],\n [-2, 1, 0, 0],\n [-2, 0, 4, 4],\n [0, 0, 4, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, 2, 4, -3],\n [1, -4, 0, -4],\n [0, 3, 0, 1],\n [4, 2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 3, 4, -2],\n [4, 0, -1, -3],\n [0, -3, -4, -1],\n [-3, -2, 4, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-311", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, 2, -1, 1],\n [0, 0, 2, 4],\n [-3, 4, -4, 2],\n [-2, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[4, 1, -4, -2],\n [4, 1, -4, -1],\n [3, -2, 4, 0],\n [3, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 2, -2, 0],\n [2, 1, 4, 2],\n [-2, 4, 1, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, 0, -2, 0],\n [0, -4, 2, -2],\n [-2, 2, 3, 1],\n [0, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, -1, -1],\n [0, 4, 2, -1],\n [-1, 2, -2, 0],\n [-1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3122", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 2, 1],\n [0, 3, 0, 0],\n [2, 0, 2, 0],\n [1, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, -1],\n [1, -4, -4, 0],\n [2, -4, 1, -3],\n [0, 0, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1089", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 2, -2],\n [2, 2, -2, 0],\n [2, -2, -2, 0],\n [-2, 0, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -1, -3, 4],\n [1, 2, 2, -3],\n [-3, 1, 4, -4],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "353", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, 3, 2],\n [1, -4, -1, 4],\n [-4, 2, -4, -4],\n [0, 4, -2, 2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, 4, -4],\n [-4, -3, -1, 3],\n [-2, 2, -1, 0],\n [-1, 2, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2892", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0, 0],\n [-2, 4, 3, 0],\n [0, 3, -3, -3],\n [0, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5424", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, 1, 3],\n [-2, -4, -4, 2],\n [0, -2, 4, 4],\n [2, -4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7708", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0, -2],\n [0, -4, 0, 0],\n [0, 0, -2, 0],\n [-2, 0, 0, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, -2, 0],\n [4, 0, 0, 1],\n [-2, 0, -3, -2],\n [0, 1, -2, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "597", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, 3, 0],\n [-4, -4, 0, 3],\n [0, 4, -2, -4],\n [3, -3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2400", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -1, 0],\n [4, 3, 1, 1],\n [0, -4, -2, 1],\n [-1, -2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "404", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 0, 2],\n [-2, 1, 3, 2],\n [0, 3, 3, 0],\n [2, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "783", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 4, 0],\n [-2, 3, 2, 0],\n [-2, 0, -4, -2],\n [3, -4, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[1, 1, -2, 4],\n [-3, 0, 0, -1],\n [-3, 1, 3, 0],\n [-4, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 0, 0],\n [2, -3, 3, 2],\n [0, 3, -3, -1],\n [0, 2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 0, 2],\n [2, -3, -2, -1],\n [0, -2, 3, -4],\n [2, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 4, -2, 3],\n [0, 2, 0, -2],\n [-3, 3, 1, -2],\n [-4, -3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "427", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 2, 1],\n [-3, -1, -4, 1],\n [-3, 3, 2, -1],\n [-3, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "596", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, -2, 0],\n [0, 2, -1, -1],\n [-2, -1, -2, 0],\n [0, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "254", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, 0, 0, -1],\n [0, 2, -2, -4],\n [0, -2, 3, 0],\n [-1, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-812", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-3, 2, -2, 0],\n [2, -3, 1, 0],\n [-2, 1, 3, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, 0, 0],\n [-4, 3, 0, 0],\n [0, 0, -2, -2],\n [0, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5314", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 0, 1],\n [-2, -3, 0, 1],\n [0, 0, -2, -2],\n [1, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1306", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-4, 4, 1, 4],\n [0, -4, -3, -4],\n [-2, -2, 4, 3],\n [-1, 3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, 0, 1, -1],\n [1, -3, -4, 2],\n [-4, -3, 4, 3],\n [4, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, -4],\n [0, 4, 0, 2],\n [-2, 0, 4, 0],\n [-4, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4341", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, -2, 0],\n [2, 2, -2, -2],\n [-2, -2, -3, -3],\n [0, -2, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2769", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 1, -1, -1],\n [-1, -4, 0, 4],\n [-1, 0, 2, 1],\n [2, 4, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11317", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 0, -2],\n [-3, -3, -2, -2],\n [0, -2, 2, 4],\n [-2, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 1, 2],\n [1, -2, 2, 1],\n [1, 2, -2, 0],\n [2, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -4, -2, 1],\n [2, -3, -1, 0],\n [4, 4, 0, 0],\n [-1, 1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-497", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 2, 0],\n [-3, 4, -2, -3],\n [2, 4, 3, 0],\n [-2, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6116", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -1, -2, 0],\n [-1, 1, -2, 2],\n [-2, -2, -4, 2],\n [0, 2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5013", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-3, -2, -3, 3],\n [1, -2, 3, 0],\n [3, 2, 0, 1],\n [1, 3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[2, 2, 3, 3],\n [-4, -2, 3, 1],\n [-2, -2, 2, -2],\n [-4, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, -2, 4],\n [0, 2, -2, 0],\n [-2, -2, -1, 2],\n [4, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7218", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -4, -1],\n [1, 4, -1, -4],\n [-1, 0, 0, 2],\n [1, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-316", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 1, -1],\n [0, 1, -2, 2],\n [1, -2, 0, 2],\n [-1, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[4, 1, 0, 4],\n [3, -3, -1, -3],\n [-3, 2, 3, 0],\n [-4, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0, -2],\n [-2, -2, 2, 3],\n [0, 2, -2, 0],\n [-2, 3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, -1, -1],\n [0, -4, -4, -1],\n [-1, 3, -2, -3],\n [-3, 3, -2, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "397", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, 0, 0],\n [3, 0, -2, -2],\n [2, -4, 4, -2],\n [3, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2658", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 0, 2],\n [-1, 4, -2, 2],\n [0, -2, 0, 1],\n [2, 2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-2, 0, -3, -1],\n [-3, 3, -1, -2],\n [0, -4, -3, 4],\n [-4, 4, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, 1, 2],\n [-2, -2, 0, 0],\n [1, 0, 3, -2],\n [2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, -4, 3],\n [1, -4, 2, 3],\n [-4, 3, 2, -3],\n [0, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[1, -2, -2, -2],\n [-2, -1, -1, 1],\n [-2, -1, 0, 0],\n [-2, 1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[2, -4, 4, 3],\n [-2, 2, -4, -3],\n [-1, 3, -3, -1],\n [2, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 0, 1],\n [-3, 0, 4, 2],\n [0, 4, 2, -1],\n [1, 2, -1, -2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2, 0],\n [1, -4, 2, 0],\n [-2, 2, 1, -2],\n [0, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 0, -1],\n [-2, 3, 0, 0],\n [0, 0, 3, -2],\n [-1, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1258", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, -3, -2, -1],\n [2, -1, 3, 1],\n [1, -1, -4, 4],\n [1, -2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 2, 2],\n [2, -4, 0, -1],\n [2, 0, -4, 2],\n [2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8681", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[1, 0, 0, -2],\n [0, -1, 2, 2],\n [0, 2, -2, -2],\n [-2, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "804", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 2, 1],\n [0, 0, 2, -2],\n [2, 2, -1, 1],\n [1, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1886", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -3, 0, -2],\n [-3, 0, -1, -1],\n [0, -1, 2, 0],\n [-2, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, 3, 0, -3],\n [3, 4, -3, -1],\n [0, -3, -2, 2],\n [-3, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 1, 2, 1],\n [1, -3, -4, -4],\n [2, -4, -1, 2],\n [1, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6698", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 4, -1],\n [-3, 3, 4, 0],\n [0, -1, 3, 2],\n [-4, 2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 2, 0],\n [2, 2, 2, 0],\n [2, 2, -1, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, 3, -1],\n [1, -4, 0, -1],\n [2, -4, 0, -4],\n [-3, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-341", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-4, 4, -1, 1],\n [4, 3, 3, -1],\n [4, -2, -3, -1],\n [-3, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-743", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, 2, 1],\n [4, -1, 0, 4],\n [2, 0, -1, -2],\n [1, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1578", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 0, 0, 2],\n [0, 0, 0, -4],\n [0, 0, 0, 0],\n [2, -4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -1, -3, 2],\n [3, 0, 2, 3],\n [-2, 3, -1, 0],\n [0, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4357", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, -3, -2],\n [3, -4, 3, -2],\n [3, 2, 0, 0],\n [2, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 1, 0, 4],\n [-1, 2, 1, 1],\n [-1, 2, -4, 2],\n [-2, -4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "624", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -3, 4],\n [2, 1, 4, 4],\n [2, 2, 2, 0],\n [2, -3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "528", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[1, 3, -4, 4],\n [4, 1, -2, -2],\n [0, -1, -2, 0],\n [1, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -3, -4, -1],\n [-4, -4, -4, 0],\n [2, 0, 3, 1],\n [-1, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3294", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 2, 0],\n [-2, 3, 0, 2],\n [2, 0, -3, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2159", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 0, -1],\n [2, 4, 1, -1],\n [1, -1, -2, 2],\n [2, -1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "372", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -2, 2],\n [-2, -2, 0, 1],\n [-2, 0, -3, 4],\n [2, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14606", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 2, 0],\n [-2, 2, 0, -2],\n [2, 0, -3, -4],\n [0, -2, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-468", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 0, 0],\n [-2, 2, -3, 1],\n [0, -3, 1, 0],\n [0, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 4],\n [0, -2, 0, -1],\n [-2, 0, -3, 0],\n [4, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, -4, 0],\n [-2, 4, 2, -4],\n [-4, 2, -2, 2],\n [0, -4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4640", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-4, 4, 4, 2],\n [-4, -1, 3, -2],\n [-2, 3, -1, -4],\n [-3, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, 0, -4],\n [-1, 0, 3, 1],\n [-2, 2, -2, -1],\n [2, 1, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "452", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 0, 0],\n [-2, -4, -2, 2],\n [0, -2, 3, -4],\n [0, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, 2, -2],\n [-1, 0, -3, -1],\n [1, 0, -4, 0],\n [4, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4587", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-4, 2, 0, -1],\n [2, 3, 1, 0],\n [-3, 3, 1, -4],\n [3, 1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "303", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -4, 4, 3],\n [0, -1, 3, 3],\n [2, 1, -2, -2],\n [-4, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1663", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 1, -2],\n [3, 4, -4, 0],\n [4, -2, 4, -3],\n [4, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8970", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, -2, -2],\n [3, 2, 3, 2],\n [3, 3, 1, 1],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6354", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, -2, 0],\n [-4, 2, 0, -2],\n [-2, 0, 2, -2],\n [0, -2, -2, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "996", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, -3, -4],\n [0, -4, 0, -2],\n [-1, -3, 4, 4],\n [-3, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1735", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -3, 1, -2],\n [-3, -2, 2, 2],\n [-3, 3, 3, 1],\n [-4, -4, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1228", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -4, 0],\n [-2, 1, 0, -1],\n [3, 2, 4, -4],\n [2, -3, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, -2, -1],\n [0, 3, -3, -1],\n [0, -1, 3, -1],\n [-4, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "760", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -2, 0],\n [-2, -2, 2, 0],\n [-2, 2, 0, -1],\n [0, 0, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "833", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-2, 0, 0, -1],\n [0, 0, 0, -2],\n [0, 0, 4, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, 3, -4],\n [1, -1, 2, 4],\n [-3, -1, -3, 0],\n [-3, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 1, 1],\n [-4, 0, 4, -3],\n [1, 0, 0, 0],\n [-1, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1163", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, -4, -1, -2],\n [-2, 3, 3, 0],\n [-4, -3, 0, -4],\n [4, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-435", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, 0, -4],\n [-3, -2, 0, 0],\n [0, 0, -2, 0],\n [-4, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2830", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -4, 3],\n [3, -3, 1, 3],\n [-1, -1, 4, 0],\n [3, 1, 2, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[2, 2, 2, -2],\n [2, 2, 1, -3],\n [3, 1, 3, -1],\n [3, -4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "706", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-1, -2, -3, -2],\n [-2, -1, -3, 0],\n [-3, -3, 1, 0],\n [-2, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "545", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[1, 0, -4, 2],\n [0, -3, 1, 2],\n [-4, 1, -1, -1],\n [2, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 4, -3],\n [-4, -3, -3, 1],\n [2, -2, -3, 0],\n [3, -3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-350", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 0, -1],\n [-1, 4, -1, 2],\n [0, -1, -4, 0],\n [-1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 2, 0],\n [0, -1, 0, 1],\n [2, 0, 4, -1],\n [0, 1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1918", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 2, -1],\n [-3, 4, -1, 4],\n [4, -3, -2, -4],\n [-4, -4, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 2, -2],\n [3, -4, 0, 3],\n [-4, 2, -3, 0],\n [0, 4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14580", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 0, -3],\n [4, -1, 0, -2],\n [0, 0, 0, 0],\n [-3, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6051", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -3, 1, 4],\n [-2, 1, -1, 4],\n [3, 1, -4, 0],\n [-1, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-442", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -3, 3],\n [1, 2, -4, 3],\n [-3, -4, 1, -2],\n [4, 4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8809", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, -2, 1],\n [1, 3, 0, 2],\n [-2, 0, -4, 0],\n [1, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2986", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -4, 0, 1],\n [-4, 0, 3, -2],\n [0, 3, 0, 0],\n [1, -2, 0, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, 0, 0],\n [-2, 3, -2, -4],\n [0, -2, 0, 2],\n [0, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "958", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 0, 4],\n [0, 3, 1, 2],\n [0, 1, 4, -2],\n [4, 2, -2, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 1],\n [-2, 2, -2, 1],\n [0, -1, -4, -2],\n [2, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "331", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 1, -3],\n [-3, -1, -1, 4],\n [-3, -3, 2, 2],\n [4, -3, 1, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, 2, 0],\n [1, 4, -4, 0],\n [2, -4, 0, 4],\n [0, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1303", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-1, -1, -2, 3],\n [-1, -3, 0, 4],\n [-2, 0, 2, 0],\n [3, 4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 0],\n [2, -4, -1, 0],\n [0, -1, 3, -2],\n [0, 0, -2, 0]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 0, -2],\n [1, 1, 0, 1],\n [0, 0, 2, 0],\n [-2, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, 1, 0],\n [2, -2, -2, 2],\n [1, -2, 4, 1],\n [0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4164", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -2, -2],\n [0, 4, -1, 0],\n [-2, -1, -2, 0],\n [-2, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2323", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -1, 0],\n [-2, 2, 1, 3],\n [-1, 1, 0, -4],\n [0, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "932", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, 0, 2, 0],\n [0, 2, -1, 0],\n [2, -1, 1, -1],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 2, -1],\n [-3, -3, -1, -3],\n [4, -2, -4, 0],\n [1, 4, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7354", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-1, 2, 0, -1],\n [2, 1, 2, -2],\n [0, 2, 2, -3],\n [-1, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, -1, 0],\n [0, -3, -4, 1],\n [-4, 3, 0, 0],\n [-1, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2020", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, -1, 2],\n [3, -3, 1, 0],\n [-1, 1, -4, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "894", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-2, 4, -1, -2],\n [4, 1, -4, 1],\n [-1, -1, 1, 2],\n [0, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "568", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 3, 1, 2],\n [3, -2, -2, -3],\n [-3, 3, 4, 0],\n [4, 3, -2, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 3, 4],\n [-4, -3, -3, -2],\n [1, 1, 3, 2],\n [3, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, 0],\n [0, 1, -3, -1],\n [0, -3, 3, 0],\n [0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[1, 1, 1, 2],\n [1, 0, -3, 0],\n [1, -3, 4, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, 0, 2],\n [-2, 4, 0, 1],\n [0, 0, 4, -2],\n [2, 1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0, -2],\n [2, -2, -2, -2],\n [0, -2, -2, -2],\n [-2, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-301", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -4, -1, -2],\n [-4, -1, -2, 0],\n [-1, -2, 4, -2],\n [-2, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9854", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 2, 2],\n [0, 4, -2, 0],\n [2, -2, 1, 1],\n [2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2480", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, -2, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1502", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 2, -2],\n [-2, -4, -1, 0],\n [2, -1, -2, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2316", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 0, 2],\n [2, -3, 1, 4],\n [0, 1, 1, -4],\n [2, 4, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9782", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 2],\n [0, -1, -4, -2],\n [0, -4, 4, -2],\n [2, -2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-553", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, -2, -3, 0],\n [-2, -4, 1, -2],\n [-3, 1, -1, -2],\n [0, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, -4, 1],\n [-1, 3, -3, 4],\n [0, -4, 1, 0],\n [4, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "833", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, 0, 3, 0],\n [0, -1, -2, -2],\n [3, -2, -3, 1],\n [0, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -1, 2],\n [2, -4, 0, -2],\n [-1, 0, 1, 2],\n [2, -2, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 1, 2],\n [-2, -2, 1, -2],\n [1, 1, 1, 0],\n [2, -2, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, -2, -1],\n [1, 4, 0, 0],\n [-2, 0, -2, 2],\n [-1, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "678", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, -2, 2, 0],\n [-2, 1, 4, 0],\n [2, 4, -4, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 2, -1],\n [-2, -4, -4, 2],\n [0, 1, 4, -4],\n [-3, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "707", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, 2, 1],\n [3, 4, 4, -3],\n [1, 2, 1, 2],\n [-1, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3392", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, -2, 1],\n [2, 3, 0, 2],\n [-2, 0, -4, -2],\n [1, 2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6822", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-2, -1, 1, 4],\n [1, 0, -3, 3],\n [4, 4, 0, 4],\n [3, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 3, -4],\n [2, -2, 3, -2],\n [-4, -2, -1, 3],\n [-1, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, 2, -4],\n [2, 0, -4, -3],\n [0, 1, -1, -1],\n [0, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 2, -2],\n [1, 3, 1, -2],\n [2, 1, -4, -4],\n [-2, -2, -4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 2, -2],\n [-4, 0, -3, -2],\n [0, 2, -4, -3],\n [-4, 1, 2, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -1, 0, 1],\n [-3, -4, -2, 1],\n [2, -2, 3, -2],\n [2, 1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, -1, 0],\n [0, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1426", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -4, -3, 2],\n [-2, -1, 2, -3],\n [0, 2, -2, 3],\n [3, 3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, -1, 1],\n [0, -4, -1, 0],\n [-1, -1, 4, 0],\n [1, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, 1, 1, 4],\n [-4, -2, 3, -2],\n [-1, 4, 2, 4],\n [2, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, -1, -1],\n [0, -3, 4, 1],\n [-1, 3, 4, -4],\n [-4, -4, -4, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1638", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 1, 2],\n [0, 1, 1, 0],\n [1, 1, 1, -2],\n [2, 0, -2, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 3, -2],\n [-3, -1, 2, 0],\n [3, 2, -3, -3],\n [-2, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-384", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-1, 2, -1, -1],\n [2, -1, -3, -2],\n [-1, -3, -4, 0],\n [-1, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "543", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-3, -2, -1, 1],\n [-1, 3, -2, -2],\n [-1, 1, 3, 2],\n [3, -4, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[2, 0, 0, 2],\n [0, -3, 2, 2],\n [0, 2, 2, 2],\n [2, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "274", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 3, -2],\n [-2, 4, -2, 3],\n [3, -2, 3, -2],\n [-2, 3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0, 0],\n [1, 1, 0, -2],\n [0, 0, -1, -1],\n [0, -2, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[2, 2, -1, 3],\n [3, -2, 4, 1],\n [-1, 1, -4, -4],\n [-1, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 3, 1],\n [-1, 3, -1, -3],\n [2, -2, 3, 1],\n [-2, 1, 1, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 4, 0],\n [-2, -1, 1, 0],\n [4, 1, 1, 4],\n [0, 0, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "723", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, 1, -2, 2],\n [0, -2, -4, 3],\n [0, 2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -2, 4],\n [1, -1, 2, -2],\n [-1, 0, 1, 2],\n [0, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2, 0],\n [0, 3, 3, 2],\n [2, 3, -4, 2],\n [0, 2, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1252", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, 1, -1],\n [3, -3, 3, 2],\n [1, 1, 3, -2],\n [-1, 3, 0, -3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 1, 4],\n [4, -2, 1, -1],\n [1, 2, 1, -2],\n [3, -1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1430", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, -2, 0],\n [-2, 1, 0, -1],\n [-2, 0, -2, -2],\n [0, -1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1250", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -2, 3],\n [3, -2, -3, 1],\n [-2, -3, -4, 0],\n [3, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12052", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 4, -4],\n [-2, 0, 0, 4],\n [2, 1, 0, 4],\n [-1, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, -3, 2],\n [-2, 2, -3, -4],\n [4, -4, 4, 1],\n [1, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-388", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 0, -2],\n [0, -3, -2, 0],\n [0, -2, 3, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 0, 0],\n [2, 2, 3, 0],\n [0, 3, 0, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1316", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[2, 1, 0, -2],\n [1, 4, 4, 4],\n [-3, -2, -4, 4],\n [-4, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 2, 2, -2],\n [2, -2, 1, -2],\n [2, 1, -2, -2],\n [-2, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1922", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 1, 4],\n [-1, 4, -3, -2],\n [-2, 0, -4, 0],\n [-3, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 4, -2, 0],\n [4, -4, 2, 0],\n [-2, 2, 3, 2],\n [0, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1498", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, 1, 4, 2],\n [-4, -2, -2, -1],\n [-3, -2, 0, 3],\n [1, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -4, -1, 3],\n [3, 0, 4, -4],\n [2, 2, -3, -3],\n [4, -1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "665", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 4, 1, 3],\n [-4, 3, -1, 3],\n [-1, -2, -1, 4],\n [2, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2143", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, 3, -4],\n [1, 1, 3, -3],\n [-2, 3, -4, -4],\n [1, 3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-469", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, 0, -4],\n [0, 3, -1, 4],\n [0, -1, 1, 0],\n [-4, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2600", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 1, 4],\n [0, 3, -1, -2],\n [-2, 1, 2, 4],\n [-1, -1, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -4, 2, -1],\n [-1, -3, -3, 4],\n [0, -3, -3, -3],\n [0, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5485", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 1, 2],\n [1, -3, 3, -1],\n [-4, 4, -1, 0],\n [-4, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5326", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 4, 2],\n [0, -4, -1, 4],\n [4, -1, -1, 2],\n [2, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7478", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -1, -2],\n [2, 4, 4, -1],\n [-1, 4, 2, 3],\n [-2, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8246", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 4, 2],\n [4, -4, 3, -1],\n [-1, -3, 3, -3],\n [2, 4, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8214", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -4, 4, -4],\n [-2, -1, -1, -3],\n [-4, 4, -2, -1],\n [-2, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1025", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -2, 0, 0],\n [-2, 0, 4, 0],\n [0, 4, -3, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, -2],\n [-2, -1, 2, -2],\n [0, 2, 3, -2],\n [-2, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "907", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, 0, 0, 0],\n [0, 4, 2, -2],\n [0, 2, 3, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 4, 3, 4],\n [-2, 4, 0, 3],\n [-2, 1, -2, 4],\n [-1, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-4, 2, 3, -3],\n [-1, -4, -4, 3],\n [2, -1, 4, -1],\n [4, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-572", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, -1, -4],\n [-3, -1, 2, 4],\n [-4, 1, -3, -4],\n [0, -1, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "428", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, -1, 2],\n [3, 1, 2, -4],\n [2, 3, -2, 2],\n [3, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1973", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, 1, 4],\n [3, 3, 2, 1],\n [4, 3, -3, 0],\n [-4, 3, -4, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "456", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 4, -1, -2],\n [0, 3, -3, 1],\n [-4, -3, -4, 3],\n [-2, 3, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0, 0],\n [0, -4, 0, 0],\n [0, 0, 3, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 0],\n [0, -2, -1, 0],\n [0, -1, -4, -2],\n [0, 0, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[0, 2, 0, 0],\n [2, -4, -3, 1],\n [0, -3, -2, 2],\n [0, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1445", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 2, 4],\n [0, 2, 2, 0],\n [2, 2, -3, -2],\n [4, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "650", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, -2, -2],\n [0, -2, 0, 0],\n [-2, 0, -4, 1],\n [-2, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2490", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, -2, -2],\n [-2, 3, 0, -2],\n [-2, 0, 2, 1],\n [-2, -2, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2292", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 3, -4],\n [2, 2, 1, -4],\n [-3, 4, -4, -1],\n [2, 0, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "492", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, -2, 0, -2],\n [-2, 0, -1, 0],\n [0, -1, 1, 1],\n [-2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 2, 2],\n [2, 1, 4, -2],\n [2, 4, 1, 0],\n [2, -2, 0, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, 4, 0],\n [-3, 4, -3, 0],\n [-1, -2, -3, -1],\n [-3, 4, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "421", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 1, 0],\n [-2, 1, 0, 1],\n [1, 0, 3, 2],\n [0, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-2, 2, 1, 2],\n [2, -1, -2, 0],\n [1, -2, -2, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -1, 2],\n [-1, 0, 4, 2],\n [-1, 4, -4, -2],\n [2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8148", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 0, -2],\n [-3, 2, -4, 2],\n [-1, 3, 4, 1],\n [3, 0, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "582", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, 2, -2],\n [4, 4, 0, 2],\n [2, 0, 1, 0],\n [-2, 2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 4, -2],\n [-4, 2, 4, 3],\n [4, 4, -2, 0],\n [-2, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5990", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-2, -4, 2, -4],\n [1, 0, 2, -4],\n [0, -2, 4, 3],\n [1, 1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -1, 0],\n [0, -3, 1, -2],\n [-1, 1, -1, 1],\n [0, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 2, 0],\n [-1, -4, 0, 0],\n [2, 0, 2, 1],\n [0, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, -3, -4],\n [1, 3, 4, -2],\n [-2, 1, 4, 4],\n [4, -1, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3960", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 4, -3],\n [0, 3, 0, -1],\n [4, 0, 1, -1],\n [-3, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6333", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 2, 0],\n [4, 2, -1, 0],\n [3, -1, 2, -1],\n [-1, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 4, 3],\n [-1, -3, -2, 3],\n [-1, -4, 2, -2],\n [4, -2, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "432", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 2, 0],\n [0, 0, 2, 0],\n [2, 2, 4, -4],\n [0, 0, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12313", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, -1, -4],\n [-1, 3, -1, 4],\n [-1, -2, 3, 3],\n [4, 2, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2614", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 3, 0, -2],\n [3, 2, 0, 0],\n [0, 0, -1, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7759", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 4, -4],\n [1, -4, -4, -2],\n [-3, -4, -4, 0],\n [-3, -3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2556", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 0],\n [0, -2, 1, -2],\n [-2, 1, 2, 0],\n [0, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, -3, 0],\n [-3, -1, -3, -4],\n [-3, -3, -1, 3],\n [0, -4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17962", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, -3, -2],\n [-3, -3, 4, -2],\n [-2, -3, 2, 2],\n [-1, -1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "804", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, 3, -3],\n [3, 2, 0, -3],\n [1, 4, 4, 1],\n [-3, -4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3548", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, -3, 1],\n [-3, -1, 4, -3],\n [-1, 0, -4, 0],\n [-2, 2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2164", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -1],\n [0, 4, 1, -2],\n [2, 1, 1, 1],\n [-1, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, 0, 2],\n [-3, -3, 0, -3],\n [4, -1, 1, 2],\n [3, 3, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2618", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, 1, 0, -2],\n [1, 2, -3, 2],\n [0, -3, -2, -4],\n [-2, 2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -3, 0, 1],\n [-3, 3, 2, 0],\n [0, 2, -1, 0],\n [1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 1, 0],\n [2, -3, 3, 0],\n [1, 3, -2, 1],\n [0, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, -1, -1],\n [3, 1, -1, 0],\n [-2, -3, -2, 4],\n [3, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "744", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 0],\n [-2, -3, -2, -1],\n [0, -2, 2, -2],\n [0, -1, -2, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -1, 0],\n [-2, 0, 1, -4],\n [2, 1, 2, -3],\n [1, 4, 3, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 4],\n [4, 2, -3, -3],\n [2, 0, -2, 0],\n [0, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -1, 0, 2],\n [-1, 1, 2, 1],\n [0, 2, 1, 0],\n [2, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, -2, 0],\n [-3, -4, 2, 0],\n [4, 1, -4, -1],\n [2, -1, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1727", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -1, -2, -1],\n [3, -3, -2, 3],\n [2, -3, 4, -4],\n [3, 2, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, 0, -2, -2],\n [0, 1, 0, 0],\n [-2, 0, -3, 0],\n [-2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, 2, -1],\n [3, -2, -3, 2],\n [-3, 4, 2, 3],\n [-2, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5160", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, -2, 4],\n [4, -4, -3, 2],\n [-2, -3, 3, -2],\n [4, 2, -2, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2498", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, -4, 2],\n [-3, 4, 1, 3],\n [-3, 3, -4, 1],\n [-1, 2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[0, 3, 0, 2],\n [1, 0, -4, 4],\n [-1, 2, 1, 2],\n [-1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 4],\n [-2, 0, 2, -1],\n [0, 2, 4, 3],\n [4, -1, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1161", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 0, 0],\n [1, 2, -4, 3],\n [0, -4, 1, 1],\n [0, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 3, 0],\n [-4, -1, 3, 4],\n [2, 4, 0, -1],\n [-3, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1696", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 0],\n [2, -4, 2, -2],\n [-2, 2, -2, -2],\n [0, -2, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "713", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 1, 2, -3],\n [-3, 2, 3, -3],\n [1, 2, -2, -3],\n [1, -2, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3622", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, 2, 3],\n [4, 0, -1, -1],\n [2, -3, -3, 4],\n [-1, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "862", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, -2, 2, -2],\n [0, 3, -2, -2],\n [-1, 1, 3, 1],\n [3, -1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 1, 2],\n [3, 1, 0, -2],\n [1, 0, -1, -2],\n [2, -2, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "769", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 2, -4],\n [-1, -1, -2, -1],\n [2, -2, -2, -2],\n [-4, -1, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1067", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[3, 0, 2, -2],\n [0, -1, -2, 0],\n [2, -2, 4, 0],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, -3, 3],\n [0, 0, -2, -2],\n [-2, -4, -2, -4],\n [0, 4, 4, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 4, 1],\n [4, -1, 0, -2],\n [1, -3, -1, 4],\n [3, -4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1472", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 1, 1],\n [-4, 3, 0, -1],\n [2, 1, 2, -4],\n [-2, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, -3, 0],\n [-4, 1, -1, 1],\n [1, -4, 4, -3],\n [1, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1264", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[1, -2, 4, 0],\n [-1, 3, 2, 1],\n [-1, 0, 4, 3],\n [2, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "404", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, -3, 0],\n [3, 0, -4, 1],\n [-3, 0, 2, -4],\n [0, -2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2631", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, -1, 1],\n [2, 1, 4, 1],\n [-1, 4, 0, 0],\n [1, 1, 0, 0]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, -4, -1],\n [4, 1, -1, 2],\n [-4, -3, -3, 1],\n [0, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 4, -3],\n [4, -1, -2, -2],\n [-1, -3, 3, 4],\n [1, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1030", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[1, 2, -2, 4],\n [2, 0, 2, 2],\n [-2, 2, -2, -1],\n [4, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "492", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 4, 3],\n [2, -1, -3, 3],\n [-1, 0, 2, -1],\n [-4, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "872", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[1, 1, 0, -2],\n [1, -4, -1, 2],\n [0, -1, -2, 0],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, 2],\n [0, -2, 1, 2],\n [2, 4, 1, -4],\n [-3, 2, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, 2, -2],\n [-2, 1, -1, 1],\n [2, 0, 2, 1],\n [-4, -1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, -2, 4],\n [3, -2, 2, 1],\n [-4, 3, -1, -3],\n [3, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "788", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, 0, -2],\n [-4, 4, -3, 2],\n [0, -3, 3, 0],\n [-2, 2, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1611", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, 4, -3],\n [1, 3, 0, -3],\n [-2, -1, -4, 1],\n [2, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "767", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, -2, 0],\n [-1, 1, -3, 2],\n [-3, -2, -4, -2],\n [-2, -4, -4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6903", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 0, 4],\n [1, -1, 1, 2],\n [3, 4, 4, 4],\n [0, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7030", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, -4, 3],\n [1, 0, -3, 4],\n [-4, 3, -4, -3],\n [-1, 2, 1, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "359", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-3, 0, 0, 2],\n [0, 0, 0, 0],\n [0, 0, -4, -1],\n [2, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[2, -4, 4, 1],\n [3, 2, -1, 4],\n [4, 1, 3, 1],\n [-2, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, -4],\n [0, -1, 1, 0],\n [3, -4, -4, -3],\n [1, -1, -1, 4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, 3, 4],\n [-1, 3, -2, 3],\n [2, 2, 3, -3],\n [3, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "860", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, 2, 1],\n [-2, 4, -4, 2],\n [-3, 4, 0, -2],\n [4, -3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-798", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[2, -1, -1, -2],\n [-1, 1, 3, 0],\n [-1, 3, -1, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "290", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[2, 3, 0, 0],\n [3, 2, 2, 0],\n [0, 2, 4, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "670", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, -1, 2],\n [1, 1, -2, 3],\n [3, -1, -2, 1],\n [2, 0, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1238", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 4, -3],\n [-1, -3, 3, -3],\n [1, -3, 3, 4],\n [4, -3, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7851", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, -2, 0],\n [2, 3, 1, 2],\n [-2, 1, 2, -3],\n [0, 2, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2565", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, -2, 0, -4],\n [2, 1, 0, -1],\n [-3, 2, -4, -4],\n [-3, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 2, -2, 0],\n [2, -2, -1, 2],\n [-2, -1, -2, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1658", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, 2, 0],\n [1, -1, -1, 3],\n [3, -1, -3, 3],\n [2, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1298", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 4, 0],\n [0, -1, 1, 0],\n [4, 1, -1, 0],\n [0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "969", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 1, -4, -2],\n [-1, -2, -1, -3],\n [-2, 0, -3, 4],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1030", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, -1, 1],\n [0, 0, 0, 2],\n [-1, 0, 0, -2],\n [1, 2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -1, 2],\n [0, 0, -2, -4],\n [-4, -4, 4, 2],\n [-3, -2, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1452", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 0, 4],\n [-3, -3, -3, -1],\n [-2, -2, 3, -1],\n [3, 0, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "932", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, 0, 1],\n [-4, 3, 1, -1],\n [0, 1, 1, 2],\n [1, -1, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 0, 0],\n [0, -1, 0, -3],\n [0, 0, 1, 2],\n [0, -3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, 0, 0, 2],\n [0, 3, 0, 2],\n [0, 0, 1, 0],\n [2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -3, -2],\n [-4, -4, -4, 3],\n [3, 2, -4, 1],\n [3, -1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4748", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 4, -4],\n [2, 0, 1, 1],\n [4, 1, 1, -2],\n [-4, 1, -2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-2, -1, -2, -4],\n [-1, -1, 0, 4],\n [-2, 0, -3, 2],\n [-4, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, 2, -2],\n [3, -4, 3, -1],\n [0, -3, 3, 2],\n [-1, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -1, -1],\n [-4, -1, -2, 2],\n [0, 2, 3, 1],\n [-4, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1406", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 1, -3, 2],\n [1, -2, -2, 0],\n [-3, -2, 3, 0],\n [2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1397", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 1, -2],\n [0, 4, 2, 0],\n [1, 2, 1, 4],\n [-2, 0, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6185", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -1, 3],\n [2, 3, 1, 4],\n [-2, -1, 0, 4],\n [2, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3943", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 2, -3],\n [1, 0, 4, -3],\n [-2, -3, 0, 1],\n [-1, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3910", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 0],\n [0, -3, 0, -2],\n [0, 0, 4, 0],\n [0, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, 3, 4],\n [1, 2, -1, 1],\n [4, -4, 3, -1],\n [3, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, -1, 1],\n [4, -1, 2, -2],\n [-1, 2, -4, 0],\n [1, -2, 0, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "676", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, -1, 1],\n [-3, 1, 0, -2],\n [-1, 0, -2, 2],\n [1, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[4, 0, 2, -1],\n [0, 1, 0, 0],\n [2, 0, 3, -2],\n [-1, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-403", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, 0, -2],\n [-4, -3, 2, -2],\n [0, 2, -4, 2],\n [-2, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1726", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, -1, -4],\n [2, -4, -4, 0],\n [0, -1, 4, -2],\n [1, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "879", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, 3, -4],\n [4, 0, 0, -4],\n [4, -4, -2, 0],\n [-3, -2, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 3, 1],\n [2, -4, -2, -2],\n [-2, -3, -2, -4],\n [4, -1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-911", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[1, -1, 0, 3],\n [-1, -3, 1, 0],\n [0, 1, 1, -2],\n [3, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-3, -3, 0, -2],\n [-3, -3, -2, 1],\n [0, -2, -3, -2],\n [-2, 1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[4, 4, 3, 0],\n [2, 4, -1, -4],\n [1, -3, 0, -3],\n [2, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, -1, 2],\n [3, -4, 0, 2],\n [-1, 0, 3, -2],\n [2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6274", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 4, 0, -4],\n [3, 0, -3, 1],\n [4, -3, -3, -4],\n [1, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -2, -2],\n [0, -2, -2, 0],\n [-2, -2, -3, -1],\n [-2, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "553", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 0],\n [0, 1, 2, 1],\n [0, 2, -4, 1],\n [0, 1, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1118", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-3, -3, 4, -4],\n [-2, -1, 1, 3],\n [-1, -2, -2, -1],\n [-2, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, 1, -2],\n [-2, 4, -1, -4],\n [-3, -4, -1, 4],\n [-4, -2, -2, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "920", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, 3, 1, -2],\n [3, 2, 0, 2],\n [1, 0, -2, -2],\n [-2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 0, 2],\n [-1, 1, 0, -3],\n [0, 0, 3, -1],\n [2, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3351", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 1, 4, -2],\n [-3, 2, -4, -1],\n [2, 2, 2, 3],\n [-2, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2940", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 1, 4],\n [4, 1, -3, 1],\n [-4, -2, -2, 3],\n [2, 1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -2, 1],\n [2, 1, 4, -1],\n [-2, 4, 0, -2],\n [1, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -2, -2],\n [4, 3, 1, 3],\n [1, -3, 2, -4],\n [-4, 1, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "777", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -1, -1],\n [4, 3, -3, -2],\n [4, -4, -3, 2],\n [2, -3, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "997", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, 1, -3],\n [1, 0, -1, -2],\n [-1, -2, -1, 0],\n [0, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, 0, -3],\n [2, -2, 2, 2],\n [-3, -3, -2, 1],\n [-1, -4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4070", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[4, 4, 0, 0],\n [4, 0, 0, 2],\n [0, 0, -2, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -1, -2, 0],\n [-1, 3, 3, 0],\n [-2, 3, -2, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, -3, -2, 1],\n [1, -2, -3, 0],\n [-1, 4, 4, -3],\n [-4, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 2, 2],\n [2, -1, -3, 1],\n [2, 4, -2, 3],\n [-4, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, -2, 3],\n [-2, 0, -2, 3],\n [-2, 2, 2, -2],\n [-3, 4, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 4, -4, -2],\n [1, -4, 1, -1],\n [3, 3, 2, 0],\n [1, 4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-270", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-4, -2, -4, -1],\n [-4, 0, -2, 3],\n [0, -3, 4, 1],\n [2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, 1, 1],\n [2, -1, 3, 0],\n [-3, 4, 1, 0],\n [2, 3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1507", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -1],\n [1, 4, 4, 2],\n [-3, 1, 0, -3],\n [3, 1, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "528", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, -2, -2, -2],\n [-2, 2, 2, 0],\n [-2, 2, 4, 2],\n [-2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "464", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, -2, 1],\n [1, 4, -3, -3],\n [1, 1, 0, 2],\n [1, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "588", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-1, 2, 3, 4],\n [4, -1, -3, 0],\n [-4, 4, 0, -2],\n [4, 4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, 1, 3],\n [4, 1, 0, 1],\n [0, 1, 3, 1],\n [-1, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 0, 0],\n [-2, -1, 2, -2],\n [0, 2, 1, -2],\n [0, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1172", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -3, 0],\n [3, -1, 2, -2],\n [3, -3, 2, 3],\n [2, 1, 4, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-4, -1, 3, -3],\n [-3, 4, -3, -1],\n [-3, 1, 3, 1],\n [1, 3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -3, -2, 0],\n [-3, 1, 1, 1],\n [-2, 1, 0, -2],\n [0, 1, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -4, -1],\n [0, 1, 0, 2],\n [-4, 0, 1, 1],\n [-1, 2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2321", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, -2, -4],\n [4, 4, 4, -4],\n [3, -3, 0, 3],\n [-1, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, -1, 1],\n [0, 2, 4, 2],\n [-1, 4, 2, 3],\n [1, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8184", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-4, -2, -2, -4],\n [-1, -2, -3, -3],\n [0, -4, 0, 2],\n [-2, -4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-320", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, 1, -1],\n [1, -4, 0, -2],\n [1, 0, 0, 0],\n [-1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-364", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, 2, 2],\n [3, 1, 1, -1],\n [0, 4, 1, -3],\n [-3, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, -2, -3],\n [-1, 1, 0, 2],\n [-2, 0, 2, 2],\n [-3, 2, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1359", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, -2, -3],\n [3, 0, 3, -3],\n [-3, 2, -4, 3],\n [-2, 4, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 3],\n [0, 4, 0, -4],\n [0, 0, -1, 2],\n [3, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1314", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -1, 2],\n [1, -2, -1, -2],\n [-1, -1, 0, 2],\n [2, -2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, -1, 1],\n [0, -3, -2, 4],\n [-1, -2, 3, 0],\n [1, 4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "821", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 2, 2],\n [2, 3, 2, 1],\n [2, 2, 4, 2],\n [2, 1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1387", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[3, 2, 2, -1],\n [2, -2, -1, 0],\n [2, -1, 1, 4],\n [-1, 0, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1450", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -1, -2],\n [2, 0, 0, 2],\n [-4, -2, -4, -3],\n [-2, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3397", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 2, -1, 1],\n [2, -1, -1, 2],\n [-1, -1, 3, 2],\n [1, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, -3, 0],\n [0, -4, 0, 1],\n [-3, 0, -2, -1],\n [0, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "774", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -1, 1],\n [2, 2, 0, -1],\n [-1, 0, 4, 4],\n [1, -1, 4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -1, -1],\n [1, -4, 1, -2],\n [2, 1, -4, -1],\n [3, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1151", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 4, -4, 4],\n [-3, 2, -3, -4],\n [3, 2, -3, 1],\n [-4, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 2, 2, 2],\n [2, 1, -4, 0],\n [2, -4, -1, 4],\n [2, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 0, -3],\n [2, -4, 3, -4],\n [3, 4, -3, -3],\n [2, 3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6937", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -2, -2],\n [-4, 0, 4, -3],\n [3, 3, -1, -4],\n [-1, 3, 3, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, -4, 0],\n [-3, 3, -2, -3],\n [-3, -3, -4, -3],\n [2, 4, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1816", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 3, 2],\n [4, -4, -3, 2],\n [0, -3, 2, 3],\n [-2, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "852", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -2, 2],\n [0, -3, 2, 2],\n [-2, 2, -2, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2754", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, -4, 2],\n [-2, 0, 4, 1],\n [2, 2, 0, 3],\n [-4, -2, 3, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "759", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[0, 0, 0, 1],\n [0, 2, 0, 0],\n [0, 0, 4, 1],\n [1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, -4, -3],\n [-4, -3, 0, -1],\n [-3, 0, -3, 1],\n [3, -3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9033", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 1, 2, 0],\n [1, 2, 0, -2],\n [2, 0, 3, -4],\n [0, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "575", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, 4, 1],\n [-1, -1, -4, -2],\n [-2, -3, -3, -4],\n [0, 3, -1, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, -2, 0, 2],\n [1, -2, -3, -2],\n [2, 0, -4, -1],\n [0, -1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 4, 4],\n [-3, 4, 4, -1],\n [-3, 2, -1, -3],\n [-4, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16064", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 0, 2],\n [0, -4, -2, 0],\n [0, -2, -2, -4],\n [2, 0, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13408", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, -3, 2],\n [0, -4, 0, -1],\n [-3, 0, 3, 0],\n [2, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "554", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, -3, -2],\n [1, 0, -4, 3],\n [1, 0, 1, 1],\n [1, 2, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "734", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 4, -2, -3],\n [-2, 0, -2, -1],\n [1, -3, -1, -1],\n [1, 1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 0, 0, 0],\n [0, -4, 2, -2],\n [0, 2, 4, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 1, 0],\n [4, -2, -2, 1],\n [-1, 0, 2, -3],\n [3, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 3, -3, 2],\n [4, -2, -3, 2],\n [-2, -1, 1, 4],\n [-2, 2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9951", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, -2, 0],\n [2, 2, 4, 2],\n [-2, 4, -2, 0],\n [0, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9581", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -1, -4],\n [-2, -1, -3, 0],\n [-1, -3, -1, -1],\n [-4, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14329", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, 0, 4, 2],\n [0, -1, 0, -2],\n [4, 0, -3, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -4, -4],\n [2, -4, 2, -2],\n [-3, 3, 2, -3],\n [-2, -3, 1, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-4, -4, 1, -4],\n [-2, 1, 3, -1],\n [-4, 2, -3, -1],\n [1, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, -4, -1, 3],\n [3, -4, -3, -3],\n [3, 0, 1, 0],\n [-4, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 3, -1],\n [4, -1, -3, 1],\n [4, -4, -3, 3],\n [-1, 3, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, -3, -1],\n [-1, -3, 3, -3],\n [-1, 0, -4, 0],\n [3, 1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4377", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, -4, 2, 0],\n [1, 3, 4, -1],\n [3, 0, -2, 1],\n [-3, 3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-357", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, 1, 0],\n [-1, 1, 1, 0],\n [1, 1, -1, 2],\n [0, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, -2, -3],\n [-3, -2, 1, -3],\n [0, -2, 4, 0],\n [3, -1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 2, 0],\n [2, 4, -1, 0],\n [2, -1, -2, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1308", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, 4, -2],\n [-1, 4, 0, 0],\n [4, 0, -2, 0],\n [-2, 0, 0, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[2, 2, -2, 2],\n [2, -3, -2, -4],\n [-2, -2, 3, 2],\n [2, -4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-330", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, -1, 1],\n [3, -3, 3, 4],\n [-3, 0, -4, -1],\n [-1, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1051", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, -3, -3],\n [-1, 0, 4, -2],\n [-1, -3, 3, -4],\n [-4, -3, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5333", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 1, -1],\n [-4, -4, -4, 3],\n [1, -4, -2, 3],\n [4, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6418", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, 2, 2, 0],\n [2, 3, 2, 2],\n [2, 2, 1, -2],\n [0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, 4, 2],\n [1, 1, -1, 1],\n [4, -1, -2, 4],\n [2, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5457", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -3, 2, 2],\n [-3, 2, 1, -2],\n [2, 1, 1, -2],\n [2, -2, -2, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-496", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 0, 2],\n [2, 3, -1, 0],\n [0, -1, 0, -2],\n [2, 0, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "619", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, -2, -1],\n [-3, 4, 2, -2],\n [-2, 2, -4, 0],\n [-1, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10489", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, 0, 2],\n [-1, -1, 0, 2],\n [0, 0, -4, 2],\n [2, 2, 2, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, -2, 2],\n [-1, 4, -4, -4],\n [-4, 0, 1, 4],\n [3, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2306", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, 0, 2],\n [4, -3, 2, -4],\n [0, -3, 0, 1],\n [0, -1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "534", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -4, -1, -2],\n [2, 3, -4, -1],\n [-4, 1, 0, 2],\n [2, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -1, 2],\n [4, 0, 3, 1],\n [4, -2, -3, 1],\n [1, -1, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "430", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -3, -4, 3],\n [-2, 3, -2, 2],\n [2, -3, -1, 2],\n [-3, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[4, 4, -4, 1],\n [4, -1, -2, 0],\n [-4, -2, 3, 1],\n [1, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 3, -1],\n [-3, 4, 4, -2],\n [-1, 2, 2, 4],\n [-1, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3962", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 2, 2, 2],\n [4, 0, -2, -4],\n [3, -2, 3, -4],\n [-3, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4295", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 0, -1],\n [-2, 2, 2, -4],\n [1, -4, 3, 0],\n [-1, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -1, 3],\n [3, -3, 0, 2],\n [-1, 0, -2, -2],\n [3, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "856", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, 3, -3],\n [-3, 2, -1, 4],\n [0, 2, -2, -4],\n [3, 4, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, 0, 1, 0],\n [0, -4, -2, 0],\n [1, -2, 0, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, -2],\n [0, -2, -2, 2],\n [-1, -2, 3, -3],\n [-2, 2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1134", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 3, 0],\n [-1, -3, 0, -3],\n [-1, 4, 2, 1],\n [-4, 2, -3, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, -4, -2],\n [-3, -3, -1, -4],\n [-3, -2, 1, 0],\n [2, 3, -3, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 1, 2],\n [3, 4, -2, 4],\n [1, -2, -3, -2],\n [2, 4, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1720", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, 3, 1],\n [-3, 1, 0, 2],\n [-3, -3, -4, -1],\n [-1, -4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-984", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -2, -1],\n [1, 4, 2, -2],\n [-3, 1, -4, -1],\n [1, 1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 3, -2],\n [2, -2, 3, 3],\n [-3, -4, -4, 3],\n [3, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4084", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[4, -2, 0, 3],\n [-2, 4, 0, 3],\n [0, 0, 4, 2],\n [3, 3, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "465", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, 0, -4],\n [0, 3, -1, 0],\n [0, -1, 2, 0],\n [-4, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1742", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 3, -3, -3],\n [-4, 1, 0, -4],\n [2, 1, 3, 0],\n [-3, 3, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3824", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 4, 3, -4],\n [-2, -2, 1, 0],\n [3, -3, -3, -1],\n [-1, 3, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, -4, -2],\n [2, -1, 0, 0],\n [-4, 0, 2, 2],\n [-2, 0, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-361", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -4, 2, -2],\n [-4, 3, 0, 2],\n [2, 0, 3, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19243", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-3, -2, -3, -3],\n [-1, -3, -4, 1],\n [4, -4, -1, 4],\n [1, 1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 4, -4, -4],\n [-4, 1, -1, 4],\n [1, 4, -4, 4],\n [-3, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, 1, -1],\n [3, 0, 2, 1],\n [-1, 1, 4, -3],\n [-2, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4064", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -4, 3],\n [-3, 0, -2, -1],\n [0, -4, -3, 0],\n [-2, 2, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "822", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 4, 2],\n [2, -3, 2, -2],\n [4, 2, 4, -2],\n [2, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1632", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, 4, -1],\n [0, -1, 2, 1],\n [4, 2, 1, 3],\n [-1, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2, 3],\n [1, -1, 2, 4],\n [-2, 2, 1, 0],\n [3, 4, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -2, -4],\n [-1, 4, -2, -1],\n [-2, -2, 0, -2],\n [-4, -1, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1148", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 3, -3, -2],\n [4, -3, 3, 3],\n [-4, -1, -4, 2],\n [3, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19954", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-1, -3, 2, -4],\n [1, 0, -3, 3],\n [-1, 1, 2, 4],\n [4, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, 1, -2],\n [4, -4, 0, 1],\n [1, 0, -1, 0],\n [-2, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "814", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 3, 3],\n [2, 3, -2, 3],\n [3, -4, -2, -2],\n [3, 2, -1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, -1, 4],\n [-4, -3, 0, 3],\n [-3, 0, -3, -1],\n [0, -3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3043", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[0, 1, 1, 1],\n [-4, -3, -2, -1],\n [-4, -3, -1, 0],\n [-3, 1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 3, 4],\n [0, 4, 0, -2],\n [3, 0, 0, 2],\n [4, -2, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "539", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-4, -2, 0, 0],\n [-2, 0, -2, 2],\n [0, -2, 2, 4],\n [0, 2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -2, -1],\n [2, 2, 0, 0],\n [-2, 0, 1, 2],\n [-1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 2, -3],\n [3, 1, -4, -2],\n [-1, 4, 1, -1],\n [-1, 4, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "735", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 2, -1],\n [-4, 0, -3, 3],\n [2, 2, 4, -1],\n [1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2, -2],\n [-2, 2, -2, 1],\n [2, -2, -1, 2],\n [-2, 1, 2, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, 2, 0, -1],\n [2, -4, 4, -1],\n [4, 2, 2, 3],\n [4, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 3, 3, 3],\n [-3, 4, -3, 4],\n [4, -3, 3, 4],\n [-1, 3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4731", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, -2, 2, 2],\n [2, 2, -2, 3],\n [2, -3, -3, 1],\n [3, 3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, 0, 0],\n [-1, -4, 0, 1],\n [0, 0, -4, 0],\n [0, 1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1289", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2, 0],\n [0, 1, -2, 4],\n [2, -2, -4, 1],\n [0, 4, 1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 3, 2],\n [-4, 2, 2, 1],\n [0, 3, 2, -4],\n [-3, 1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "330", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, 4, 4, 2],\n [0, 4, 4, -2],\n [0, 2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1008", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 4, 0],\n [1, 1, 1, -1],\n [4, -4, 1, -1],\n [3, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "618", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -1, 2],\n [-1, 1, -1, 1],\n [-1, -1, 1, 0],\n [2, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 2, 0],\n [2, -1, -2, -2],\n [2, -2, -1, -2],\n [0, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7923", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, -4, 2, -2],\n [1, -3, 1, 4],\n [-3, -4, 4, 4],\n [3, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 2, -1],\n [-4, -2, -2, 3],\n [3, 0, 0, -2],\n [-3, -4, -1, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, -3, 2],\n [0, 2, 2, 2],\n [-3, 1, -1, 4],\n [-1, 3, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "698", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 1, 2],\n [0, 4, 0, -2],\n [1, 0, -4, 2],\n [2, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "779", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -4, 2],\n [0, -1, 3, 1],\n [3, -3, -4, 3],\n [-3, -2, 1, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -1, -3],\n [0, -1, 0, 2],\n [-1, 0, -3, -1],\n [-3, 2, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3132", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -4, 3, -2],\n [1, -2, 4, 4],\n [3, -1, 2, 4],\n [-3, -2, 1, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -1, -2, -4],\n [-1, 3, 0, -2],\n [-2, 0, -4, 0],\n [-4, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6512", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -4, 2, -3],\n [-4, -3, 2, -2],\n [2, 2, -1, 1],\n [-3, -2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35337", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 4, 0],\n [-2, 3, 1, -2],\n [4, 1, -4, -4],\n [0, -2, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5682", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-2, 3, 2, 0],\n [3, 2, 0, -2],\n [2, 0, 2, -4],\n [0, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 1, 3],\n [1, -4, -4, 0],\n [1, -4, -2, -3],\n [3, 0, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-696", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, 4, 0, 2],\n [4, 4, -1, 2],\n [0, -1, 0, 2],\n [2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, 0, 0],\n [-3, 3, -1, 2],\n [0, -1, 1, -1],\n [0, 2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2428", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, 2, 0],\n [2, 1, 4, 0],\n [2, 4, -1, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 3, 4],\n [4, -2, 1, 1],\n [1, 2, -2, 4],\n [1, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, -4, 4],\n [4, 3, 2, 1],\n [1, 4, -4, 1],\n [-3, -4, -4, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 4, -4],\n [-4, 1, -3, 4],\n [-1, 2, -4, -3],\n [2, 3, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9070", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, 2, -1],\n [4, 1, 4, 3],\n [2, 4, -3, 1],\n [-1, 3, 1, 0]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "401", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[1, -4, -2, -2],\n [-1, 1, 0, -4],\n [1, -3, -4, 3],\n [-3, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-2, -1, 2, 2],\n [3, -2, 0, -4],\n [-3, 2, -4, 2],\n [-3, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 1, 4, -2],\n [-1, -3, 4, -3],\n [-1, 0, -2, 3],\n [3, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7055", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, -1, 2],\n [-4, -1, 3, 4],\n [0, 4, -1, 0],\n [-4, -3, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "695", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, -1, 0],\n [-1, 1, -1, -2],\n [-1, -1, -2, -1],\n [0, -2, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "523", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[4, -2, 0, 3],\n [4, -4, -4, 3],\n [-4, -1, 2, 1],\n [0, 4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, -2, -2],\n [2, -1, 0, -4],\n [-2, 0, 2, 0],\n [-2, -4, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3490", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, 0, 3, 1],\n [0, 1, -4, 2],\n [3, -4, 0, 2],\n [1, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -2, 0],\n [2, 0, -2, 2],\n [-2, -2, 2, -3],\n [0, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -4, 1, 1],\n [1, -3, 1, 2],\n [4, -1, 2, -1],\n [-3, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, -4, 3, -2],\n [3, 0, -3, -2],\n [0, 2, -3, 3],\n [-4, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-293", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 3, -1, -2],\n [3, -3, -1, -3],\n [3, 1, -2, 1],\n [1, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "519", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, 1, 1],\n [-2, -1, -1, -3],\n [1, 1, -1, 2],\n [-3, 3, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 1, 1],\n [4, 4, -1, 4],\n [4, 4, 4, 4],\n [-3, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "547", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 1, -2],\n [0, 3, 0, 0],\n [1, 0, 2, 1],\n [-2, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, 3, -3],\n [0, -2, 0, -2],\n [3, -3, -3, -4],\n [-3, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1005", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, -4, 0],\n [0, 3, -3, 3],\n [-4, -3, -1, -1],\n [0, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-543", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -1, 2],\n [-1, -1, 0, 1],\n [-1, 0, -3, 3],\n [2, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -1, -3],\n [-4, 0, -3, -3],\n [-2, 1, -3, 4],\n [-4, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1649", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 3, -3],\n [3, 4, 1, 4],\n [-4, -3, 2, -1],\n [1, -3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1618", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[4, 1, -3, -1],\n [-4, -3, 2, 1],\n [3, 1, -2, 1],\n [-3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, 2, -4],\n [4, -3, -1, -2],\n [2, -1, -1, -2],\n [-4, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-3, -2, 4, -3],\n [4, 1, 3, -2],\n [-2, 3, 4, -4],\n [-2, 3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 0, 4, -3],\n [-2, -2, -2, -4],\n [3, -1, 0, -1],\n [0, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-2, 3, 3, 1],\n [3, 3, -2, -3],\n [4, -2, 3, 1],\n [1, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 1, 4, -2],\n [-1, 0, 0, -4],\n [2, -1, -3, 1],\n [-4, -2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[1, 0, -1, 0],\n [0, 0, 0, 0],\n [-1, 0, 1, -4],\n [0, 0, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 4, 3, 2],\n [-1, 1, -3, 2],\n [-3, -1, 2, 4],\n [-2, 0, -2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-3, 2, 1, 3],\n [2, 3, 0, 4],\n [1, 0, 4, 4],\n [3, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1001", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, 1, 4, 4],\n [1, 4, -2, -2],\n [4, -2, -3, -3],\n [4, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1304", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 0, -4],\n [0, -2, -1, -1],\n [1, 2, -4, 4],\n [3, 4, 1, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[1, -3, 2, -2],\n [-3, 0, 2, 2],\n [2, 2, 2, 0],\n [-2, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 4, 4, -3],\n [1, -3, -4, -1],\n [-1, 4, -3, -2],\n [4, -4, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -3, 4, 2],\n [0, -2, -1, -3],\n [-4, 1, -2, -3],\n [1, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-237", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 1, 0],\n [1, 0, -4, 2],\n [4, 4, -4, 3],\n [-1, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "382", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, -2, -3, 0],\n [1, 4, -1, 0],\n [-1, 1, -4, -3],\n [-4, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 0, 2],\n [0, 0, -1, 4],\n [-3, -1, -1, 0],\n [4, -3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1684", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 0, 2],\n [0, 1, -2, 0],\n [0, -2, -2, 4],\n [2, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 1, -1, -2],\n [1, -3, 0, -1],\n [-1, 0, -3, -2],\n [-2, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "739", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, -2, 1],\n [-2, 4, 1, -3],\n [4, -3, 3, 4],\n [-2, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, 1, 4],\n [-1, 0, 3, -1],\n [-2, -1, -1, 0],\n [4, -2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "377", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 0, 2],\n [2, -4, 1, -2],\n [0, 1, -3, 2],\n [2, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[4, 3, 2, 1],\n [-2, 1, 2, -1],\n [3, -2, -2, 3],\n [-1, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-4, 0, 4, 3],\n [0, 0, -2, 2],\n [4, -2, 2, 0],\n [3, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -1, 3, 0],\n [1, 0, 3, 2],\n [2, -1, -2, 4],\n [0, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, -2, 2],\n [-1, 3, 1, 0],\n [-2, 1, -1, 2],\n [2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[4, 2, 0, 0],\n [2, -1, 0, -1],\n [0, 0, -2, 0],\n [0, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, -4, 2],\n [3, -2, -1, -4],\n [-1, -1, -1, 0],\n [2, -2, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3839", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, -2, -3],\n [-1, -3, 2, 2],\n [0, -3, -4, -1],\n [0, 0, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, 3, 4],\n [3, 1, -1, 4],\n [3, -1, -3, 0],\n [-1, 3, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3682", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[3, -4, 2, 2],\n [2, 2, 2, 0],\n [1, 2, -4, 4],\n [2, -1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, -2, 0],\n [1, -2, -2, 0],\n [-2, -2, -3, -1],\n [0, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3187", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, 0, 0],\n [0, 2, 2, 0],\n [0, 2, 4, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1505", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 1, -3],\n [0, -4, 1, -1],\n [2, -2, 2, -2],\n [0, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-378", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, 4, -4, 2],\n [0, -1, 4, -4],\n [3, -4, -3, 1],\n [-3, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[2, 2, 2, 2],\n [2, 1, -1, 1],\n [2, -1, -3, -2],\n [2, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 1, 2],\n [4, -3, 0, -3],\n [-4, 3, 1, -1],\n [2, -1, -4, 1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, -4],\n [3, -3, -4, 0],\n [0, -1, 2, -4],\n [0, -3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "722", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 3, -2],\n [1, 2, 2, -1],\n [3, 2, 3, 0],\n [-1, -2, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 2, 4],\n [2, -4, 0, -3],\n [2, 0, -1, 0],\n [4, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, -2, 2],\n [2, 2, -1, -2],\n [-2, -1, 0, -2],\n [2, -2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[3, 2, 0, 2],\n [2, 1, 0, 1],\n [0, 0, 0, -2],\n [2, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 1, -4],\n [2, -1, 4, 4],\n [-2, 0, -1, -4],\n [4, -3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "800", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, 3, 0],\n [2, -1, 0, 0],\n [3, 0, -3, 3],\n [0, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4115", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, -2, -3, 0],\n [-2, -2, 3, 0],\n [-3, 3, 3, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 0, 0],\n [2, -3, 0, 0],\n [0, 0, 1, -1],\n [0, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -2, -1],\n [-4, -4, -2, -2],\n [-2, -2, 4, 2],\n [-1, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20205", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 4, -2, -3],\n [1, 1, -4, -1],\n [4, -2, 2, 2],\n [0, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1975", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0, -3],\n [4, -4, 1, -4],\n [2, -2, -1, -4],\n [-1, -4, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-456", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, -2, -2],\n [2, -2, 2, 2],\n [-2, -2, 2, 0],\n [2, -2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 0, -3],\n [2, -1, 0, 3],\n [0, 0, -3, 0],\n [-3, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -2, 0],\n [0, 2, 0, -2],\n [-2, 0, 3, 0],\n [0, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, 0, -2],\n [1, 2, 0, 2],\n [0, 0, 1, 2],\n [-2, 2, 2, 2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 2, -1],\n [0, 4, -3, -4],\n [2, -3, -2, -2],\n [-1, -4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-440", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -1, -2],\n [2, 3, 2, -3],\n [0, 2, 2, 2],\n [2, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, -3, 3],\n [-3, 1, 2, -4],\n [4, -4, -3, 3],\n [-1, -4, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2218", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0, -1],\n [2, 1, -2, 0],\n [0, -2, -3, -1],\n [-1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-343", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, -2, 0],\n [0, -2, 3, 0],\n [-2, 3, -3, 1],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5911", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 1, -2],\n [0, 3, 2, 1],\n [1, 2, -1, 0],\n [-2, 1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 1, 4],\n [-1, 2, -3, 1],\n [4, -1, -1, 0],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "824", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -2, -2],\n [-2, 1, 0, 0],\n [-2, 0, -4, 0],\n [-2, 0, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "496", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 1, 0, 3],\n [0, -3, 4, 0],\n [2, 1, -4, -1],\n [4, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17475", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, -1, 2],\n [2, -1, 0, 0],\n [-1, 0, -3, 2],\n [2, 0, 2, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 0],\n [0, -4, 1, 0],\n [2, 1, 2, -2],\n [0, 0, -2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, -2, -2],\n [0, 2, -3, 0],\n [-2, -3, -2, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3790", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[1, -1, -4, 4],\n [3, 2, -3, 0],\n [0, -3, -3, 3],\n [3, -2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[2, 0, -1, -2],\n [0, -2, 0, -2],\n [-1, 0, 0, -2],\n [-2, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, 1],\n [0, 4, 3, -2],\n [0, 3, 1, 0],\n [1, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5861", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -4, 1, 4],\n [-4, 2, 3, -4],\n [3, -1, 2, 0],\n [-2, 4, 3, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-192", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, -2, 1],\n [2, 0, 0, -2],\n [-4, 3, 4, 3],\n [0, 2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "721", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, -2, 2],\n [-1, -4, 1, -2],\n [-2, 1, 4, 2],\n [2, -2, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2393", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 0, -1, 4],\n [-4, 0, 4, -2],\n [3, 1, 0, 3],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -2, 3],\n [0, 1, 0, 0],\n [-2, 0, 2, 2],\n [3, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6193", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, -4, 2],\n [-3, 4, 4, 1],\n [4, -2, 2, 4],\n [3, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1579", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, 1, 0],\n [2, 3, -4, 0],\n [1, -4, -1, 0],\n [0, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1269", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, -2, -2],\n [3, 3, 0, 3],\n [3, -1, 0, 2],\n [-4, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, -1, 2],\n [-2, 2, -1, 2],\n [3, 2, 2, 4],\n [0, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, -2, -3],\n [0, 4, 0, 0],\n [-2, 0, -1, 1],\n [-3, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, 0, 0],\n [2, 2, -1, 0],\n [0, -1, 1, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2282", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, -2, 0],\n [-4, -3, -2, 2],\n [-2, -2, 4, -1],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9626", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, 0, -3],\n [0, 4, 0, 1],\n [0, 0, 2, -2],\n [-3, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 2, 0],\n [0, -1, 1, -1],\n [2, 1, 2, 0],\n [0, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 3, 2],\n [-1, -1, -4, -1],\n [1, -2, 4, 3],\n [1, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "411", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 3, 2],\n [2, -2, 2, 0],\n [3, 2, -4, -2],\n [2, 0, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1305", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 4, 0],\n [2, -3, 2, -3],\n [-4, -4, -2, -2],\n [2, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6248", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 3, -2, 2],\n [3, 2, 3, -1],\n [1, 0, -2, -1],\n [0, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, 1, 1, 4],\n [4, 1, 0, -3],\n [3, -1, -4, -1],\n [2, -1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 0, -3],\n [1, 1, 4, -1],\n [-4, -2, 2, 3],\n [-4, -2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1078", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, 0, -4],\n [2, 2, 0, 0],\n [0, 0, 1, -2],\n [-4, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "920", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, -4, 2, -2],\n [-4, 3, 4, -3],\n [2, 4, 3, 0],\n [-2, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 4, 4, 2],\n [1, -3, -3, 3],\n [0, -3, 1, -4],\n [-3, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[4, 2, 3, 1],\n [-3, -4, 0, -3],\n [4, -2, 1, -2],\n [-4, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 0, -1],\n [0, -4, 4, -1],\n [0, 4, -4, 0],\n [-1, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9698", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 2, -1],\n [-1, 1, 1, 2],\n [1, -1, 2, -1],\n [4, -4, -4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -1, -2],\n [3, 1, 2, -4],\n [-1, 1, 4, 2],\n [1, -3, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0, 0],\n [2, -2, -2, -1],\n [0, -2, 4, 0],\n [0, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "481", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, -1, 0],\n [-1, -2, -1, 1],\n [-1, -1, 0, 0],\n [0, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "414", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, 2, -2],\n [4, 3, 1, -1],\n [-2, 3, -2, 1],\n [4, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0, 0],\n [2, 2, 3, -3],\n [0, 3, 2, 2],\n [0, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "364", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, 0, 0, 0],\n [0, 2, 4, 4],\n [0, 4, -3, 2],\n [0, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0, -2],\n [0, -2, 0, 0],\n [0, 0, -4, 2],\n [-2, 0, 2, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 2, -4, -4],\n [4, -2, 3, 0],\n [-1, 4, 3, 0],\n [4, 3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1020", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -2, 0],\n [1, 3, 0, -3],\n [-2, 0, -4, -1],\n [0, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3324", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, 1, -2],\n [1, 0, 2, -2],\n [1, 2, -1, 1],\n [-2, -2, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "807", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, 0, -2],\n [0, -2, 2, 0],\n [0, 2, 0, -2],\n [-2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1489", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -2, 0],\n [-2, 3, 0, 0],\n [-2, 0, -3, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1443", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[0, 2, -4, -3],\n [-1, -2, -4, 3],\n [-3, 2, -1, -3],\n [-1, -1, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 3, 1, 2],\n [4, 1, -3, 0],\n [-3, -3, -4, -3],\n [0, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2203", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 4, 1],\n [-2, 2, 4, -1],\n [4, 4, -3, 0],\n [1, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10949", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, -3, -2],\n [-2, -2, 0, 2],\n [-3, 0, 2, 1],\n [-2, 2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6804", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -2, 0],\n [2, -1, -2, 3],\n [-4, 2, -1, 0],\n [-4, -4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1698", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0, 0],\n [0, -1, 0, 2],\n [0, 0, -2, -1],\n [0, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, -3, 3],\n [0, -1, 0, 3],\n [3, 2, -1, -1],\n [2, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-4, -2, -3, -3],\n [2, -4, -4, -2],\n [3, -1, -3, 2],\n [-2, 3, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 3, -3],\n [4, -1, -4, 0],\n [1, 3, 1, 4],\n [-3, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "904", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 1, 4, 0],\n [1, -4, 0, 2],\n [4, 0, 0, 2],\n [0, 2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4534", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-1, -2, -2, 3],\n [-3, -3, 3, 1],\n [-1, -1, 2, -2],\n [2, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, 4, 3],\n [-4, -3, 3, 4],\n [4, -4, -2, 0],\n [-2, 3, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 2, 0],\n [1, 0, -4, 2],\n [-3, 3, -1, 0],\n [-4, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -1, 0, -1],\n [-4, 0, 1, 3],\n [2, -4, -3, 4],\n [3, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2184", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-1, -3, 2, 3],\n [-3, -1, 2, 2],\n [2, 2, -3, 0],\n [3, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -4, -2, -4],\n [4, 1, 0, 2],\n [0, 2, -4, 0],\n [-4, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "674", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, 2, 2],\n [3, 0, -2, 2],\n [2, -2, 3, 2],\n [2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2739", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, -4, 3],\n [1, -1, -2, 0],\n [-4, -2, -3, -2],\n [3, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-501", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 2, 0],\n [-1, -1, 0, 0],\n [2, 0, 0, 0],\n [0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, -3, 3],\n [2, -3, 4, 0],\n [0, 0, 0, 2],\n [-1, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, -1, 3],\n [-1, -3, 2, -1],\n [-4, 2, 0, 1],\n [-4, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 0, 2],\n [0, -1, 2, 0],\n [0, 2, 0, -3],\n [2, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -2, -4],\n [-2, 3, -3, -3],\n [-2, 1, 2, 4],\n [4, 0, 0, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, 1, -1],\n [-4, 3, 1, 0],\n [-3, -4, -1, -3],\n [2, 0, -4, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, -3, -1, 0],\n [-3, 2, 3, -4],\n [-1, 3, -1, 4],\n [0, -4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-448", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, -3, 1],\n [-4, 4, -3, 2],\n [-3, -3, 4, -1],\n [1, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 2],\n [0, -1, 0, 0],\n [0, 0, 2, 2],\n [2, 0, 2, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 2, 3],\n [-2, -2, 1, -2],\n [-4, -1, 4, -2],\n [3, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-2, -1, -2, -4],\n [-1, -2, 2, -4],\n [-2, 2, -2, -4],\n [-4, -4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "997", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, 0],\n [3, -2, -3, -4],\n [-3, -1, 3, -2],\n [-2, -3, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2073", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -4, -3],\n [3, 0, -3, -3],\n [-4, -3, -4, 4],\n [4, 3, -2, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -3, 3, 0],\n [-2, -3, -3, 1],\n [-2, 2, -4, 4],\n [-1, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 3, 2],\n [0, -3, 2, 0],\n [3, 2, 1, 3],\n [2, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "776", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, -3, -2],\n [4, -1, -1, -4],\n [-2, -2, -2, 0],\n [2, 1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2867", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 2, -3, 3],\n [3, 4, -1, 1],\n [2, -2, -1, -1],\n [1, -4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-514", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, -4, -4],\n [-1, 3, 2, 2],\n [1, 2, -1, -1],\n [4, -2, -3, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-292", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, -2, 0],\n [-2, 0, -2, 2],\n [-2, -2, -2, 4],\n [0, 2, 4, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "752", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, 0, -2],\n [1, 0, 0, 0],\n [0, 0, -3, -1],\n [-2, 0, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, -3, 2],\n [2, -2, 3, 2],\n [-3, 3, -2, -2],\n [2, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[3, 0, -2, -4],\n [-4, 2, 4, -2],\n [-4, -2, -2, 3],\n [0, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "673", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, -2, 0, 0],\n [-2, -3, 1, -2],\n [0, 1, -1, 0],\n [0, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -3, -4],\n [3, -1, 2, -3],\n [-4, -1, -4, 1],\n [0, 3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-861", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 2, -2, 2],\n [2, -2, -4, -1],\n [-2, -4, -2, 1],\n [2, -1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-1, -1, 4, 1],\n [0, 2, 3, 4],\n [-2, 1, -4, 2],\n [0, -2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 0, -3, -3],\n [3, 4, 3, -3],\n [0, 3, 0, 1],\n [-4, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -2, -2, 0],\n [-2, 4, 0, -2],\n [-2, 0, -4, 0],\n [0, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5173", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 2, -2],\n [1, 1, 1, 2],\n [-3, -1, 2, -1],\n [-4, -3, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "584", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -2, -3, 4],\n [-1, 2, 4, -1],\n [-2, 2, 1, -1],\n [2, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 0],\n [0, 3, -2, -1],\n [2, -2, -2, 0],\n [0, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1953", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, 2, 1],\n [2, 3, 0, 2],\n [2, 0, 2, 2],\n [1, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6209", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 0, -2],\n [0, -3, 4, -4],\n [0, 4, -1, -3],\n [-2, -4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-360", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-4, 0, 0, 0],\n [0, -3, 1, 1],\n [0, 1, 4, 2],\n [0, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 1, 1],\n [-2, 0, 1, 0],\n [1, 1, -4, 2],\n [1, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "524", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 0, 1],\n [2, 4, -3, -3],\n [-2, -1, -3, 0],\n [3, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 0, 3],\n [4, 4, 4, -1],\n [-2, 2, 2, 4],\n [0, -1, 1, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, -1, 1],\n [0, 1, -1, -3],\n [-1, -1, -3, 0],\n [1, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1529", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 4, 4, -3],\n [-1, -2, -2, 2],\n [-2, -1, -4, 1],\n [4, -4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 2, 1],\n [1, 0, 1, 1],\n [2, 1, -2, 1],\n [1, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, -4, -1, -4],\n [-2, 2, 3, 0],\n [-3, -4, 1, 4],\n [3, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 2],\n [0, -3, 0, 0],\n [0, 0, -1, 2],\n [2, 0, 2, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, 2],\n [-2, -4, 2, 1],\n [2, 2, 0, 1],\n [2, 1, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 4, -1, -3],\n [4, 2, -2, -2],\n [-1, -2, 0, 0],\n [-3, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "601", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[3, -4, 0, 4],\n [-4, 2, -3, -2],\n [0, -3, 2, 2],\n [4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2464", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, -3, 1],\n [-3, 4, 2, 2],\n [4, -1, -4, 4],\n [-4, 4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8311", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 3, 2],\n [-4, 1, -1, 3],\n [0, 4, 4, 0],\n [-2, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-478", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, 1, 0, 0],\n [1, 4, -2, 0],\n [0, -2, -4, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 1, 1],\n [2, 3, 2, 1],\n [2, 0, 3, -3],\n [-1, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "580", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, 0, 1, -2],\n [0, -4, 1, 0],\n [1, 1, 1, -2],\n [-2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 1, 0, 2],\n [1, 0, -2, -2],\n [0, -2, -4, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "539", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 3, 0],\n [-2, -3, 2, 0],\n [3, 2, 2, 1],\n [0, 0, 1, 3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[1, -3, 1, 1],\n [4, 0, 2, 1],\n [-3, -1, 3, 0],\n [2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 0],\n [0, 0, 3, 0],\n [0, 3, -3, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, -2, 0, 2],\n [-2, 4, 0, 0],\n [0, 0, -1, 2],\n [2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -2, -2],\n [-1, 0, 0, -4],\n [-2, 0, -2, 1],\n [-2, -4, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "816", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -4, -2, 1],\n [-2, -2, -1, 1],\n [-1, -4, 3, -1],\n [-2, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1355", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, 3, 1],\n [3, 0, 4, 1],\n [3, 0, 4, -2],\n [4, -4, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2335", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 2, -1],\n [-2, 3, 4, 0],\n [2, 4, 2, 1],\n [-1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "481", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, 2, 2],\n [1, -4, 2, 2],\n [2, 2, -4, 4],\n [2, 2, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1589", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 4, 2, 0],\n [4, -1, 3, -2],\n [2, 3, -4, 1],\n [0, -2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2, -2],\n [2, 2, -4, 2],\n [2, -4, 0, -3],\n [-2, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -2],\n [0, -1, 3, -2],\n [2, 3, -1, 2],\n [-2, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, 3, -2],\n [3, -4, 4, 2],\n [3, 4, -4, -1],\n [-2, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2070", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0, -4],\n [-2, -2, -1, 0],\n [0, -1, 3, 0],\n [-4, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "696", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 0, -4],\n [0, -1, -1, 0],\n [3, -4, -4, 0],\n [3, -3, 0, 4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, 1, -3],\n [0, 4, -3, 4],\n [3, -4, 4, 1],\n [4, 2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2544", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-4, -4, -3, -4],\n [-2, 0, -3, 3],\n [-4, 0, 3, 1],\n [-1, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "715", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 4, 0, 1],\n [-4, -4, -3, 4],\n [-3, 3, -3, 3],\n [3, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -4, 2],\n [3, -1, 1, 2],\n [-1, -1, -4, 1],\n [-3, 3, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 4, 2],\n [3, -2, 3, -2],\n [-3, 4, 3, -3],\n [4, 4, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3687", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 0, 4],\n [-1, 2, 1, 2],\n [0, 1, 0, 2],\n [4, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3081", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[4, -2, -4, 4],\n [-2, 3, 3, -1],\n [3, -2, -1, 1],\n [4, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, 2, -2, 2],\n [2, 2, -2, 0],\n [-2, -2, -3, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 1, -1],\n [-3, 0, 4, -1],\n [0, 0, -1, -3],\n [4, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2296", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, 2, -1, -2],\n [2, -4, -2, 0],\n [-1, -2, 0, -1],\n [-2, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, 2, 0],\n [2, 4, 2, 2],\n [2, 2, 1, 2],\n [0, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9886", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 4, -1],\n [4, 2, 4, -3],\n [-1, 3, -4, -4],\n [4, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4386", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, -2, 2],\n [2, 1, 0, 0],\n [1, -3, -4, 0],\n [2, 4, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "648", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 2, 2],\n [-2, -2, 1, 2],\n [2, 1, -2, 3],\n [2, 2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-4, 2, -1, -4],\n [4, 0, -2, 4],\n [-4, -1, -3, 1],\n [-3, -4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "495", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, 0, 4],\n [3, -1, 0, -2],\n [0, 0, -2, 1],\n [4, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1186", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, -2, 3, 0],\n [-2, 2, 0, -2],\n [3, 0, 1, 1],\n [0, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-334", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[3, 0, 4, 2],\n [0, -3, -2, -2],\n [4, -2, -1, -2],\n [2, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -1, 0, 1],\n [-3, 1, -1, 3],\n [-2, 1, 0, -3],\n [3, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -2, -4],\n [1, -2, 3, -1],\n [-1, -3, -1, -2],\n [-4, 4, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "745", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 4, 0],\n [-1, 4, 3, 1],\n [-2, 4, -3, 1],\n [0, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "959", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, -4, -3, -2],\n [-2, -3, -1, 2],\n [0, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3526", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-1, 1, 1, -2],\n [1, 1, -1, 1],\n [1, -1, 4, 1],\n [-2, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "371", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 0, 2],\n [0, -3, 3, -1],\n [4, -1, 0, 2],\n [0, -2, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-2, 2, -3, -2],\n [-4, 3, 3, 0],\n [-1, 2, -2, -3],\n [1, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 3, 2, 3],\n [4, 2, 3, -3],\n [1, -1, 0, -2],\n [-3, 1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7710", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[1, -1, -3, -2],\n [-1, 1, 0, 3],\n [-1, 1, 0, 2],\n [-2, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[4, 4, 0, 4],\n [4, -1, 0, 0],\n [0, 0, 2, 0],\n [4, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 1, 0],\n [2, 1, 2, -2],\n [1, 2, 2, -4],\n [0, -2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2007", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 4, -2],\n [-1, -3, 0, -1],\n [-4, 0, 3, -1],\n [4, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 1, -2],\n [-1, 0, 1, 3],\n [-4, 0, 4, -1],\n [-4, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -3, 3],\n [2, -2, 3, -4],\n [1, -4, -2, 1],\n [-2, 3, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1419", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, -2, -2],\n [0, 4, -2, 0],\n [-2, -2, -4, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11280", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 4, -2],\n [-2, 4, -3, -1],\n [4, -3, -2, -3],\n [-2, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 3, -4],\n [-1, -2, 2, -2],\n [-2, 4, 1, 4],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-1, 0, 0, 1],\n [0, -2, 0, 2],\n [0, 0, 4, -2],\n [1, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "616", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, 1, 0],\n [4, 1, -2, 0],\n [1, -2, 3, 1],\n [0, 0, 1, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 1, -2],\n [-2, 1, 0, -2],\n [-3, -4, -1, 4],\n [-4, 0, 1, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 2, 0, 2],\n [2, -3, 2, -2],\n [0, 2, 0, 1],\n [2, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, 2, -1],\n [-4, 0, -1, -2],\n [2, -1, 3, -2],\n [-1, -2, -2, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, 0, 3],\n [0, -2, 1, 4],\n [1, 4, -1, 0],\n [-4, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1878", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 2, 2],\n [1, -1, 0, 2],\n [2, 0, -2, 0],\n [2, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 1, 2],\n [0, 2, -3, -2],\n [1, -3, 3, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "795", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -4, 0],\n [4, -4, 1, 4],\n [-3, 0, 2, 1],\n [-2, -1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-360", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-3, 3, -2, 0],\n [-1, 1, 4, 0],\n [4, 3, -2, -4],\n [0, -3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, 2, 4, 2],\n [3, 1, 4, 2],\n [-4, 3, 3, -3],\n [4, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0, 0],\n [4, 4, -4, 4],\n [-3, -3, -2, 4],\n [3, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -1, -1],\n [0, -1, -2, 0],\n [-1, -2, 4, 0],\n [-1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, -1, 3],\n [1, -2, 0, -1],\n [-3, -3, 1, 1],\n [-2, -1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, 1, 0],\n [-1, -2, 3, -4],\n [1, 1, -4, 3],\n [-1, 3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "538", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 1, -1],\n [-3, -3, 3, 0],\n [-1, -1, 1, -4],\n [1, -3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 2, 0],\n [2, -3, -2, -4],\n [2, -2, -1, 0],\n [0, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1256", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, -3],\n [-2, 3, 0, 0],\n [0, 0, 0, 2],\n [-3, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "601", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 3, 2, -4],\n [2, -2, 4, 1],\n [-4, 0, -1, -1],\n [-1, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, 1, -4, 4],\n [0, -4, -4, 0],\n [-2, -3, -2, -3],\n [2, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 2, 3],\n [-4, 0, -4, 3],\n [-4, -1, -4, -3],\n [-3, -4, -4, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 3, -2, -1],\n [3, -2, 0, 2],\n [-2, 0, 0, 2],\n [-1, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3908", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -2, 3],\n [2, -3, -3, 0],\n [4, 4, -2, 4],\n [-3, 4, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, -2, 4],\n [0, 3, 4, 1],\n [-2, 4, -2, -2],\n [4, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1592", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -2, 0],\n [0, -4, 0, 0],\n [-2, 0, -4, -1],\n [0, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -2, -2],\n [-2, 0, -4, -1],\n [-1, -2, -1, 2],\n [3, -3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6534", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[1, 2, 4, -3],\n [-4, -1, -1, 1],\n [1, 1, 2, -4],\n [3, 3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[3, -4, 2, -2],\n [-3, -1, 1, -3],\n [1, 4, -3, 3],\n [-4, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1008", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 2, -1],\n [0, -4, -2, 0],\n [2, -2, 4, -2],\n [-1, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2730", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, -2, 0, 3],\n [-2, 2, -2, 0],\n [0, -2, 3, 1],\n [3, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 0, 2],\n [1, 4, -1, -4],\n [0, -1, 4, 1],\n [2, -4, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8629", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 1, 0],\n [-1, -1, -2, 0],\n [1, -2, -1, -2],\n [0, 0, -2, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, -1, 2],\n [0, 2, 0, -2],\n [-1, 0, -1, 0],\n [2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[4, 2, 2, 2],\n [2, -3, 0, 4],\n [-1, -1, 1, 4],\n [-2, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, -3, -2],\n [-2, 1, -4, 3],\n [1, -1, 3, -3],\n [2, 4, 4, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0, 0],\n [0, -2, -1, 0],\n [0, -1, 0, -2],\n [0, 0, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -4, 0, -1],\n [-2, -4, -1, 0],\n [-4, 4, -4, -2],\n [4, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3020", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 4, -1],\n [3, 0, -2, 1],\n [-2, -1, 4, 1],\n [-2, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-599", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-2, -2, -4, -1],\n [-2, 4, 2, 2],\n [-4, 2, -3, 0],\n [-1, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, -2, 0],\n [2, -1, 0, -2],\n [-2, 0, 0, -3],\n [0, -2, -3, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "331", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, -1, -4],\n [-4, -2, -3, -2],\n [-2, -2, -1, -3],\n [3, 2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8028", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-4, -1, -1, -4],\n [3, -4, 2, -1],\n [-1, -1, -3, -1],\n [1, 0, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -1, 0],\n [2, 1, 0, 0],\n [-1, 0, 2, 1],\n [0, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-4, 2, -3, 1],\n [-1, 2, 1, -3],\n [-4, 1, 2, 0],\n [1, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -1, 2],\n [4, -3, 0, -1],\n [-2, -4, 4, 4],\n [-2, -3, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "360", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -2, 0],\n [0, -4, -1, 0],\n [-2, -1, 2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1155", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[4, 2, 0, 2],\n [2, 1, -1, -1],\n [0, -1, 4, 0],\n [2, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 3, 1, -1],\n [-3, -3, 1, 2],\n [3, 2, -4, -4],\n [-3, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2765", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[4, -1, -4, 3],\n [0, 0, -1, 1],\n [4, -2, 0, 2],\n [-2, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 0],\n [0, 3, 2, 0],\n [0, 2, -4, 0],\n [0, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-2, 2, 3, 1],\n [-2, -1, 0, -2],\n [-3, -3, 3, -1],\n [1, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, -1, 4],\n [-1, -1, -4, -2],\n [-1, -4, 2, 2],\n [4, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, 3, 2],\n [-2, -3, 0, -1],\n [3, 0, -3, 0],\n [2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8685", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -4, 1],\n [0, -4, 1, 0],\n [-4, 1, -2, -2],\n [1, 0, -2, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 2, 3],\n [2, -2, -1, -3],\n [4, 3, -4, -3],\n [2, 4, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "324", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0, 0],\n [2, -3, -2, 2],\n [0, -2, 0, 0],\n [0, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, 1, 2],\n [1, 2, 0, -3],\n [3, -1, 4, -3],\n [-4, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "467", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -4, -1, 0],\n [1, -2, 1, -4],\n [1, -4, 4, -1],\n [-3, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-452", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 0, 2],\n [2, -2, 2, -2],\n [0, 2, -1, -2],\n [2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, 0, -2, 2],\n [0, 0, -3, -2],\n [-2, -3, -4, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 2],\n [0, -4, 1, 3],\n [-2, 1, 1, -2],\n [2, 3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1467", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[3, 2, 0, -2],\n [4, 3, -2, -3],\n [-1, 4, 1, 1],\n [-2, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, 1, 3, 1],\n [1, 3, 2, -3],\n [-4, 3, -4, 1],\n [0, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[1, 0, -2, 0],\n [0, -2, 2, 0],\n [-2, 2, 2, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, -2, 0, 0],\n [-2, -3, 2, 2],\n [0, 2, -2, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-2, 1, -4, -3],\n [-4, 0, 4, 1],\n [2, 0, 2, -4],\n [0, 3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[4, 1, -3, 0],\n [-4, -2, 3, -2],\n [-3, -2, 1, -2],\n [2, 4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 2, -1],\n [2, -2, 4, -1],\n [2, 4, 1, -2],\n [-1, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -2, 1],\n [-1, -3, 1, -2],\n [4, -3, 3, 3],\n [-2, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "683", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 0, -3, -3],\n [-3, 0, -1, -2],\n [4, 2, -4, 4],\n [2, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, 4, -4, 2],\n [0, -4, 2, -2],\n [2, 2, -2, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, 0, 0],\n [-1, -3, 0, 0],\n [0, 0, 0, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -4, -4, 4],\n [3, -1, -3, 4],\n [4, 4, 4, -2],\n [-1, -4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2604", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, -4, -2],\n [2, -3, 0, -2],\n [-4, 0, 0, 0],\n [-2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "729", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[4, 3, -4, -4],\n [-4, 3, -3, -4],\n [4, -1, -4, 2],\n [1, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, -1],\n [0, 2, 1, 1],\n [0, 1, -1, -2],\n [-1, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, 2, 0],\n [0, 3, -4, -2],\n [-1, 3, 3, -2],\n [4, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-451", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 0, 0],\n [2, -1, 2, -2],\n [0, 2, 4, 0],\n [0, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1823", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -4, 0, 0],\n [-4, -1, 1, -1],\n [0, 1, -2, 0],\n [0, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "566", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, -2, 1],\n [3, -3, -1, -4],\n [-4, -1, -2, 1],\n [0, 2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4701", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[3, 0, 0, 1],\n [0, -4, 0, 4],\n [0, 0, -2, 3],\n [1, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1628", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 4, -1, -2],\n [-3, 4, 3, 4],\n [-3, 0, 4, -1],\n [-4, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 2, 3],\n [-4, 2, -2, 2],\n [-1, 3, 3, 4],\n [-4, 0, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3458", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 3, -2],\n [0, -4, -2, 2],\n [3, -2, -1, 0],\n [-2, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -1, -2],\n [0, 0, 4, 2],\n [-1, 4, 1, 0],\n [-2, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1162", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -4, -4],\n [3, 0, 0, 0],\n [2, 1, 2, -4],\n [-1, 2, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "939", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0, 0],\n [1, 2, -1, 1],\n [0, -1, 4, 2],\n [0, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1367", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, 2, 0],\n [3, 1, 0, -1],\n [0, -2, 4, 2],\n [4, 3, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4164", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, 0, 0],\n [1, -3, -4, -2],\n [0, -4, 1, 0],\n [0, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "802", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, -2, 1],\n [1, -2, 2, 0],\n [-2, 2, -1, -2],\n [1, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2318", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -3, 1],\n [-3, 3, -1, 4],\n [3, -4, 0, -3],\n [2, 1, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "511", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -3, -2],\n [1, 4, -2, 0],\n [-4, 4, 3, 0],\n [2, 2, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-1, -2, 1, 3],\n [0, 2, 1, -3],\n [0, -2, 3, -4],\n [3, -4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-4, -4, -1, 4],\n [0, 2, 1, -4],\n [-4, 0, 4, -3],\n [-1, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 2, -1],\n [0, 2, 2, 2],\n [2, 2, 1, -2],\n [-1, 2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "963", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, -1, 2],\n [3, 2, 4, 3],\n [4, -4, 4, -1],\n [-4, 2, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 4, 4, 4],\n [3, 3, 2, 1],\n [1, 0, 0, -3],\n [-4, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8020", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 0, -2],\n [3, -3, -2, -2],\n [0, -2, -4, 0],\n [-2, -2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-361", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 1, 1, 1],\n [3, 3, -2, 1],\n [1, -3, 1, 4],\n [3, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1804", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, -2],\n [0, 0, 0, 0],\n [0, 0, 1, 2],\n [-2, 0, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "218", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[0, 2, 2, -1],\n [2, 3, 2, 1],\n [2, 2, 0, 0],\n [-1, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -3, -1, -3],\n [4, -1, -3, -3],\n [-4, 2, 1, -3],\n [2, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1830", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, 0, 4],\n [-3, -1, -1, -4],\n [-3, 2, -3, -4],\n [-1, -3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6290", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, 2, 4, 0],\n [2, 3, 0, -4],\n [4, 0, 2, -2],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, -2, -3],\n [0, -1, 0, 0],\n [-2, 0, 4, 4],\n [-3, 0, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 1, 2],\n [0, -3, -1, 0],\n [1, -1, -1, 0],\n [2, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -4, 0, 0],\n [-4, 4, 0, -2],\n [0, 0, 4, -1],\n [0, -2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5321", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[1, 3, 2, -1],\n [3, -2, -1, -2],\n [2, -1, 0, 0],\n [-1, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 0, 2],\n [-1, 3, -1, 2],\n [0, -1, -4, 3],\n [2, 2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 4, 0],\n [3, 2, -4, 1],\n [-4, -2, 1, -4],\n [3, -3, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0, -2],\n [1, -2, 0, 2],\n [0, 0, 0, 2],\n [-2, 2, 2, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, -2, 0, 0],\n [-2, -4, -2, -2],\n [0, -2, 1, -2],\n [0, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 2, -3],\n [-3, -3, 1, -4],\n [0, -1, 3, -3],\n [-3, 0, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3820", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, 3, -2, -4],\n [-1, 1, 0, -1],\n [1, 1, -3, 0],\n [-2, -1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 1, 1],\n [0, -1, 2, 3],\n [1, 2, -1, -4],\n [1, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1564", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 4, -1, 2],\n [1, 3, 3, 2],\n [-1, 2, 2, 2],\n [4, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -2, 2],\n [-1, 3, -3, 1],\n [4, 3, 3, 1],\n [3, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4080", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, -1, 0, 3],\n [-1, 3, 2, 1],\n [0, 2, 3, 0],\n [3, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2, -2],\n [2, -4, 3, -1],\n [-2, 3, 0, 0],\n [-2, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, 1, 4, -1],\n [-1, 3, -3, 4],\n [-1, -3, 0, -1],\n [-3, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 2, -1],\n [0, -3, 0, -2],\n [2, 0, 2, 0],\n [-1, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "890", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, -4, 0],\n [-4, -4, 3, -3],\n [1, 0, -4, -3],\n [-3, 0, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2562", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -4, 2, 2],\n [-2, 0, -3, 2],\n [-3, -2, -1, 1],\n [-2, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1148", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, -2, -1],\n [0, 2, 2, 2],\n [2, 4, 2, -2],\n [-2, 0, -1, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 4, 2],\n [-3, -1, 1, 0],\n [-2, 2, 3, -4],\n [-4, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "884", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 1, -1],\n [0, 3, -1, -4],\n [1, -1, 4, -4],\n [0, -2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4381", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-2, -2, 2, 2],\n [-2, 0, 2, 0],\n [2, 2, 1, 4],\n [2, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, 2, 2],\n [3, -2, -2, 3],\n [-1, 0, 0, -1],\n [1, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "862", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, -4, -2],\n [0, 4, 3, 4],\n [-4, -4, 1, 3],\n [4, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1952", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 1, -4, 0],\n [-4, -1, -2, 3],\n [1, 2, -4, 3],\n [-4, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[4, -2, 3, -3],\n [2, -2, -1, 3],\n [2, 1, 4, 0],\n [1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, -2, -2],\n [1, 4, -1, -1],\n [2, 4, 2, 1],\n [-3, -4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "806", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -4, 1, -1],\n [1, 2, 2, -1],\n [-4, -2, -1, -2],\n [-2, -4, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2367", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[4, 1, -4, -4],\n [-3, 2, 3, 2],\n [-3, -4, 0, -1],\n [-4, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[1, 0, 0, -2],\n [0, 4, 1, 0],\n [0, 1, 4, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, 1, -2],\n [-3, 2, -4, 0],\n [1, -4, -1, 1],\n [-2, 0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12046", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -2, 0],\n [-2, 1, 2, -2],\n [-2, 2, -4, 0],\n [0, -2, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 2, 3],\n [3, 4, 4, 2],\n [-3, 1, -4, 3],\n [0, -1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 3, 4],\n [-3, -2, -4, -2],\n [2, -4, -1, -2],\n [-3, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -3, -4, 4],\n [3, -2, 2, 0],\n [1, 0, -1, 1],\n [4, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10374", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -3, 0],\n [2, -3, 0, 0],\n [-3, 0, -4, -3],\n [0, 0, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "917", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, 2],\n [2, 2, -2, 0],\n [0, -2, -3, 0],\n [2, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, 0],\n [0, -3, 0, 0],\n [0, 0, 0, -2],\n [0, 0, -2, 0]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -1, 2, 0],\n [-1, 1, 0, 2],\n [2, 0, 1, -1],\n [0, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -4, 3, 0],\n [-3, 1, 4, 1],\n [-3, 4, -2, 0],\n [-1, 0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "782", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 3, -3],\n [-4, -2, 1, 1],\n [-2, 1, 2, -2],\n [-3, 4, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "504", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, 0, 0],\n [-2, -3, 1, 2],\n [0, 1, 2, -3],\n [0, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4928", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-3, 0, 0, 2],\n [0, 3, -1, 2],\n [0, -1, 4, 0],\n [2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 0],\n [0, 3, 2, 3],\n [2, 2, -3, -2],\n [0, 3, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "923", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 2, 0],\n [2, 2, 3, 2],\n [2, 3, -1, 0],\n [0, 2, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "902", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, 4, -4],\n [1, 1, 1, 3],\n [-1, -1, 2, -3],\n [-2, -3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "285", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 0, 1],\n [1, 3, 3, -3],\n [2, 4, 1, -1],\n [3, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, -3, -2],\n [0, -3, 4, 0],\n [-4, -1, 0, 0],\n [3, -1, 2, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, 1, -1],\n [-3, -4, 1, 2],\n [1, 1, -1, 2],\n [-1, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5777", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 4, 1, -2],\n [4, -4, -2, -2],\n [1, -2, 3, 0],\n [-2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-334", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 0],\n [0, 3, -1, 0],\n [0, -1, -2, -1],\n [0, 0, -1, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 4],\n [0, -1, 0, -2],\n [0, 0, 2, 0],\n [4, -2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "531", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -3, 2, 4],\n [-2, 3, -4, -2],\n [-3, 1, -2, -4],\n [0, 2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3156", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0, -2],\n [-2, -3, 0, -4],\n [0, 0, 3, -4],\n [-2, -4, -4, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 0, 0],\n [-2, -1, 0, -4],\n [0, 0, 0, -2],\n [0, -4, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, -1, -1],\n [-2, 4, 0, -2],\n [-1, 0, -1, 2],\n [-1, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 0, -1, 0],\n [0, 0, 2, 0],\n [-1, 2, -1, 0],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, -2, 2, -1],\n [-2, 4, -2, 0],\n [2, -2, 1, 0],\n [-1, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-682", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, -3, 4],\n [-4, -1, 0, -1],\n [4, 1, 4, 3],\n [3, -3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5830", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, -3, 0],\n [-2, -4, 3, -2],\n [2, -1, 3, -4],\n [2, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "911", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, 0, 0],\n [1, 3, 0, 2],\n [0, 0, -1, 1],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, 3, -3],\n [4, -2, 0, -2],\n [1, -3, -3, -3],\n [0, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3306", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2, -3],\n [0, -3, 0, 0],\n [-2, 0, -3, 0],\n [-3, 0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-490", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 2],\n [0, -4, 2, 2],\n [0, 2, 3, 0],\n [2, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "370", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 0, 0],\n [0, -2, 0, 0],\n [0, 0, -4, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "737", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 1, 1, -2],\n [1, -2, 2, 4],\n [1, 2, 4, 1],\n [-2, 4, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 0],\n [-2, 1, 0, -1],\n [0, 0, 2, 2],\n [0, -1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "393", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 0, -2],\n [-2, 2, 0, 0],\n [0, 0, 4, 1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 3, 2],\n [0, 4, 2, 1],\n [-2, 1, -1, 4],\n [-3, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1171", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, -2, 0],\n [1, -3, 0, 0],\n [-2, 0, -3, -4],\n [0, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-179", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 2],\n [0, 3, -1, -4],\n [0, -1, 2, -1],\n [2, -4, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4320", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, 0, -1],\n [1, -2, 1, 2],\n [0, 1, -3, -2],\n [-1, 2, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, 2, 3, 1],\n [4, 3, -4, -4],\n [1, 4, -2, 4],\n [4, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 2, 2],\n [0, 4, -4, -2],\n [2, -4, 4, -2],\n [2, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17397", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, -2, 0],\n [1, 2, 2, -3],\n [-2, 2, 1, 3],\n [0, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "907", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-4, 0, 0, -1],\n [-2, 2, 4, 1],\n [-4, 0, 0, 0],\n [0, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, 1, 0, 3],\n [3, 2, -3, -2],\n [0, 4, -4, 2],\n [-1, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[0, -1, 2, -4],\n [-3, -1, 1, -4],\n [4, -1, 3, -3],\n [-3, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 3, 0, 0],\n [3, 3, 3, 0],\n [0, 3, 4, -2],\n [0, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4791", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, -1, 2],\n [-2, 2, 0, -2],\n [-1, 0, -1, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, 0, -3],\n [-1, 2, 3, -4],\n [0, -3, 3, 1],\n [-1, 3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 0, 0, 3],\n [0, 3, -2, -2],\n [0, -2, 3, 2],\n [3, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, -3, 1],\n [0, 3, 2, -1],\n [-3, 2, -2, 0],\n [1, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 4, 4],\n [-4, -2, -3, 4],\n [-2, -4, -3, 4],\n [3, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -3, -2, -2],\n [4, 4, 0, -3],\n [-4, 0, -2, 3],\n [0, 1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 3, -3],\n [2, -2, 4, -3],\n [4, -2, 2, 0],\n [3, -3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1300", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0, 3],\n [-2, -4, 0, 0],\n [0, 0, 2, -1],\n [3, 0, -1, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 1, -4],\n [-2, 0, -1, 1],\n [-2, -1, 3, -3],\n [4, -3, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -2, -2],\n [3, 2, -4, 2],\n [4, -4, 2, 2],\n [4, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5901", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, 2, 2, 0],\n [2, 0, 0, 4],\n [2, 0, 3, -4],\n [0, 4, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1424", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -2],\n [2, -1, -1, 4],\n [0, -1, 1, 0],\n [-2, 4, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1396", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 4, -2, 1],\n [4, 2, 0, 2],\n [-2, 0, 0, 2],\n [1, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "840", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, -4, 2],\n [1, 3, -4, -1],\n [-1, -1, 4, 1],\n [-4, 1, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "744", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 0, -2],\n [0, 3, 0, 0],\n [0, 0, 1, 2],\n [-2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "323", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, -3, -3],\n [4, -4, -3, 3],\n [4, -3, -2, -2],\n [0, 4, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8370", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, -2, 0],\n [-2, -1, 0, 2],\n [-2, 0, -4, 1],\n [0, 2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2867", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, -4, 2],\n [3, -3, -4, 2],\n [0, 1, 3, -1],\n [0, 3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1264", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -1, -1],\n [0, 1, 0, 3],\n [-1, 0, -2, -2],\n [-1, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "608", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 2, -1],\n [3, -1, 3, 1],\n [2, 3, -4, 2],\n [-1, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5381", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[4, 2, 0, -2],\n [2, 3, -2, 2],\n [0, -2, 3, -2],\n [-2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 2, -4],\n [-2, -4, -1, 2],\n [2, -1, 2, -2],\n [-4, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, -3, 0, -4],\n [-1, 0, 2, 3],\n [3, 4, 2, 0],\n [1, -4, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, -3, -4, -2],\n [4, 4, 0, -2],\n [-2, -3, -3, -3],\n [-2, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -1, -2],\n [1, -3, 0, 2],\n [-1, 0, -1, 4],\n [-2, 2, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, 3, -2],\n [0, -4, -4, 3],\n [-3, -4, -3, -3],\n [0, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9295", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2, -2],\n [-2, 3, 2, -1],\n [2, 2, -2, 0],\n [-2, -1, 0, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, 2, 0],\n [-2, 0, -2, 2],\n [2, -2, 1, -1],\n [0, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "538", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[3, -4, -1, 0],\n [-4, -3, 0, -2],\n [-1, 0, -2, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 3, 0, 4],\n [0, 3, 0, 1],\n [-3, -4, -2, 0],\n [4, -2, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8310", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -4, 2, -2],\n [0, -1, -4, 1],\n [3, 2, 0, 4],\n [2, -2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8158", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, 0, -2],\n [1, -1, 0, 1],\n [0, 0, 0, 0],\n [-2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, 4, -2],\n [1, 2, -2, 0],\n [4, -2, 2, -4],\n [-2, 0, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1922", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, 1, 1, 2],\n [-1, -1, -1, 0],\n [1, 1, 0, 2],\n [-2, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -3, 4],\n [4, -3, 3, 3],\n [-4, -4, 4, 3],\n [-3, -1, -2, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, -2],\n [0, -1, 0, 4],\n [2, 0, 0, 1],\n [-2, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3699", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -3, 0],\n [0, -4, -4, -1],\n [-3, -4, 1, 0],\n [0, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1070", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 1, -3],\n [0, -3, 0, 0],\n [1, 0, 2, 0],\n [-3, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, 2, -2],\n [4, -2, -2, -2],\n [-3, 1, -2, 1],\n [-2, 4, -4, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-2, 4, 2, 1],\n [4, 3, 2, 0],\n [2, 2, 0, -2],\n [1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-3, -4, 4, -3],\n [3, 4, 0, 4],\n [-3, 4, -4, -4],\n [-1, -3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-896", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, -1, 0],\n [4, 1, -3, 2],\n [3, 2, 2, -2],\n [-2, -1, -1, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -4, -2],\n [-3, 1, -4, 4],\n [-1, 0, -2, 4],\n [3, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "436", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, 1, 1],\n [-4, 2, -4, 4],\n [3, 4, 3, 2],\n [-3, -2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1248", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 0, 1],\n [-2, -3, 0, 0],\n [0, 0, 4, 2],\n [1, 0, 2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 0, 0],\n [-2, 4, 0, 1],\n [0, 0, 4, -1],\n [0, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "465", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-4, -2, -3, -1],\n [0, 3, 0, 3],\n [-4, -4, -4, 2],\n [-1, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[4, 0, 0, 3],\n [0, -1, 2, -1],\n [0, 2, 0, 3],\n [3, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, 1, -1, -1],\n [3, 0, 3, 3],\n [3, 1, -1, 1],\n [-3, -2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[4, -1, 0, 1],\n [4, -2, -2, 4],\n [1, 4, 0, -3],\n [4, 4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-608", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 2, -2],\n [-2, -1, -2, 4],\n [1, 3, 3, -4],\n [1, 4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1577", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 0, 0],\n [4, -1, 0, -3],\n [0, 3, 2, -2],\n [3, -3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, 0],\n [0, 2, -2, -2],\n [0, -2, 2, 3],\n [0, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3522", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, 2, 4],\n [1, 1, 0, -3],\n [2, 0, 3, -2],\n [4, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1159", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 3, -1],\n [-2, -2, -2, 2],\n [3, -2, -4, -1],\n [-1, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, 3],\n [0, 2, -2, -2],\n [2, -2, -1, 2],\n [3, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 1, -4],\n [3, 1, 0, -1],\n [3, -2, 0, 2],\n [-4, -2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6374", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 3, -2, -4],\n [-3, 4, 0, 4],\n [2, 2, -4, -3],\n [4, 0, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2334", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 3, -3],\n [-4, 3, 1, 4],\n [-1, 0, 0, 2],\n [-1, -2, 1, -3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 0],\n [-2, -4, -1, 0],\n [0, -1, -2, -2],\n [0, 0, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3962", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, 0, -2],\n [2, -1, -2, -3],\n [0, -2, -1, 0],\n [-2, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "495", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[1, -3, 0, -2],\n [0, 4, 3, 1],\n [-2, 3, 2, -4],\n [-4, 1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-519", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, 1, -1],\n [-3, 0, 3, -2],\n [-4, 1, -2, 3],\n [-1, 3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 4, 1],\n [0, -1, -3, 3],\n [-1, 3, 2, 4],\n [0, -1, 2, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[2, 2, 2, 1],\n [2, 0, -4, 4],\n [2, -4, 2, 0],\n [1, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, -3, -2],\n [-4, 2, -3, 0],\n [-4, -4, -1, 0],\n [0, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "622", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -3, -3],\n [4, -3, -3, -4],\n [2, 2, -1, -3],\n [0, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3207", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, -1, -1],\n [-4, -2, 3, -3],\n [4, 3, -3, 0],\n [2, 3, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3863", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 3, 2],\n [2, -3, -1, 2],\n [1, -4, 2, 1],\n [-4, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, -3, 2],\n [2, -2, -2, -3],\n [-3, -2, 0, -2],\n [2, -3, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3948", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-3, -2, 4, 0],\n [4, 3, -1, 0],\n [2, 1, -3, 0],\n [-1, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 3, 3],\n [-1, 0, 4, -2],\n [3, 4, -4, -2],\n [3, -2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17276", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, -2, 1],\n [-1, 1, 0, -2],\n [-2, 0, 0, 2],\n [1, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3006", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 4, -1, 2],\n [-3, 2, -4, -2],\n [1, -3, 4, 2],\n [3, -4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6454", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, 1, 1, -4],\n [-1, -2, 1, -4],\n [-3, 0, 1, 1],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, 2],\n [0, 3, -2, 0],\n [2, -2, 3, 0],\n [2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "629", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, -1, 4],\n [-2, -2, 4, 1],\n [0, 1, 1, 1],\n [-2, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1420", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 2, -1],\n [2, -1, 2, -2],\n [2, 2, 0, -2],\n [-1, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1466", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-2, 0, -2, 0],\n [0, 1, 1, 4],\n [-2, 1, 4, -2],\n [0, 4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "650", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-2, 2, 1, 0],\n [2, -2, 0, -2],\n [1, 0, -2, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 2, -1],\n [-2, -2, 2, -4],\n [3, 0, -4, 0],\n [1, 4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7233", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 1, 4],\n [-3, -1, -1, 0],\n [4, -1, 1, 4],\n [-1, 2, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6837", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 4, -1, 0],\n [4, -3, -2, 4],\n [-1, -1, -3, 4],\n [-4, 1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1076", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[2, 2, 1, 1],\n [1, 3, -2, -1],\n [3, -1, 2, -2],\n [-2, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -3, 0],\n [-2, -4, -3, -2],\n [-3, -3, -1, 2],\n [0, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1375", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -3, 0, 4],\n [-3, -3, 0, 2],\n [0, 0, -3, 2],\n [4, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9325", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-4, 0, 0, 1],\n [0, 1, 3, 0],\n [0, 3, -2, 4],\n [1, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -3, 3],\n [1, -4, 1, 3],\n [-2, 0, 2, -1],\n [-4, 4, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-2, -2, 2, 0],\n [-2, 4, 1, -2],\n [2, 1, -1, -2],\n [0, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-4, 2, 2, -1],\n [1, 4, -1, 0],\n [-1, -4, -2, 1],\n [3, -4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 3, -4],\n [-4, 1, 1, 2],\n [-4, 2, -2, 3],\n [1, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, -2, 1],\n [4, 1, 1, 3],\n [2, -4, 4, 2],\n [-2, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2343", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, -2, -4],\n [2, -2, 2, 0],\n [4, 2, 2, 4],\n [1, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1352", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, 0, 3],\n [-1, 4, 3, 4],\n [-3, -3, 1, 2],\n [-2, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-698", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -1, -2],\n [-2, -2, -1, 2],\n [-1, -1, -4, 0],\n [-2, 2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-726", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 4, -3, 4],\n [-2, 2, -1, 1],\n [-1, 2, -1, -1],\n [4, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "655", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -2, 4],\n [-1, 4, 3, 1],\n [-1, 1, -1, -2],\n [3, 3, 1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, 0, 3, 3],\n [-4, 3, -1, 0],\n [0, -4, 2, 1],\n [1, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1399", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 2],\n [0, -4, 0, -2],\n [2, 0, -3, 0],\n [2, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2430", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, -1, -2, -2],\n [-1, 2, 0, -2],\n [-2, 0, -4, 0],\n [-2, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, -1, 3],\n [0, -2, 0, 2],\n [-1, 0, 0, 0],\n [3, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 3, -1, -1],\n [1, 4, -4, -3],\n [4, 3, -3, -4],\n [4, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "716", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, -2, 0],\n [-2, 4, 2, 0],\n [-2, 2, -4, -2],\n [0, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-214", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 0, 1],\n [2, 2, 1, 1],\n [0, 1, 4, -1],\n [1, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "224", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 0, 0],\n [1, -1, 2, -2],\n [0, 2, -3, 0],\n [0, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1247", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 0, -2],\n [-2, 2, 3, 4],\n [0, 3, 0, 0],\n [-2, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, -2, 2, 0],\n [-2, 0, 0, 4],\n [2, 0, 1, -1],\n [0, 4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -2, 0],\n [-1, -3, 0, 0],\n [0, 2, 2, 2],\n [4, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1611", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 3, 3],\n [-2, 4, 3, 0],\n [4, 0, 1, 4],\n [-1, -1, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6768", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, -3, 2],\n [3, -1, -1, -4],\n [0, -4, -1, 2],\n [-3, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, -1, -2],\n [-3, 1, 1, -1],\n [-4, -4, 4, 4],\n [-2, -2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1707", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 1, 0, 2],\n [1, 1, 2, 1],\n [0, 2, -3, 0],\n [2, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -2, 3],\n [2, -1, -2, 0],\n [-2, -2, -1, 2],\n [3, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0, -3],\n [2, -1, 2, 0],\n [0, 2, 0, -2],\n [-3, 0, -2, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 0, 0],\n [-4, 2, 3, -2],\n [-4, 0, 1, -4],\n [2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -2, 0],\n [0, -1, -3, 0],\n [-2, -3, 4, 0],\n [0, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "453", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, 3, 0],\n [1, 4, 2, 3],\n [4, 3, -2, 3],\n [3, 0, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 2, 0],\n [-1, 2, 2, 0],\n [2, 2, -3, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -2, -4],\n [-1, -2, 2, 0],\n [-1, -4, 3, 3],\n [-3, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1064", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 3, 0],\n [-1, -1, 0, 0],\n [1, -3, -3, 4],\n [-1, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -3, -2],\n [1, 0, -2, -2],\n [-3, -2, 1, -2],\n [-2, -2, -2, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -4, -4, 4],\n [-1, 3, 4, -2],\n [-1, -1, 3, 2],\n [4, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, -1, 4],\n [1, 4, -2, -2],\n [1, 1, 2, -3],\n [-2, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1584", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -2, 0],\n [-1, -3, -1, 3],\n [-2, -1, 4, 1],\n [0, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "659", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -2, 4],\n [2, 2, 0, -3],\n [-2, 0, -3, -2],\n [4, -3, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1709", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, -1, -3],\n [-1, 2, 3, -2],\n [-1, 3, 1, 0],\n [-3, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2910", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -4, -1, 2],\n [4, 0, -3, -4],\n [-1, -2, 3, 0],\n [-4, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, -4, 4],\n [1, 2, -1, -1],\n [3, 3, 3, 4],\n [-3, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[3, 0, -2, -3],\n [0, 0, 2, 2],\n [-2, 2, 2, -2],\n [-3, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -4, 2, 2],\n [4, 4, -2, 2],\n [-3, -3, -2, 3],\n [-3, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "793", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 2, 1],\n [2, 4, 0, 4],\n [0, -4, -2, -3],\n [-1, -1, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, 0],\n [0, 3, 2, -2],\n [2, 2, 3, -3],\n [0, -2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1851", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 0, 0],\n [3, 3, 0, -2],\n [0, 0, 0, 0],\n [0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2833", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, -1, 4],\n [3, -2, 2, 1],\n [-2, 2, 3, -3],\n [-4, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "598", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -1, 1],\n [0, 2, 0, 1],\n [-1, 0, -3, 0],\n [1, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[0, 2, -4, 0],\n [-4, 4, 4, -4],\n [-2, 2, 3, 0],\n [2, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "993", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -1, 0, 0],\n [-1, 4, 0, 0],\n [0, 0, -4, 2],\n [0, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-2, -3, -3, 2],\n [-4, 2, -2, -1],\n [-2, 4, 0, -3],\n [1, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, 0, -3],\n [-1, -4, 0, -2],\n [0, 0, -3, 1],\n [-3, -2, 1, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 2, -1],\n [2, 3, 2, 2],\n [2, 2, 4, -2],\n [-1, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "859", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 0, 0],\n [4, -1, 0, 0],\n [0, 0, 2, 0],\n [0, 0, 0, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 4, 2],\n [3, -4, 4, -2],\n [-1, 2, -3, -3],\n [-2, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, -2, 4],\n [4, -3, -3, -2],\n [-4, -2, 4, -3],\n [0, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, 0, -3],\n [3, 0, -3, 0],\n [-3, -2, 2, -4],\n [-4, 4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5914", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0, -2],\n [-2, 1, 2, 2],\n [0, 2, 4, 2],\n [-2, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7826", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, -4, 0],\n [2, 2, 3, 0],\n [3, -4, 0, -4],\n [-3, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4502", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 1, 3, -2],\n [1, -4, 0, 0],\n [3, 0, 3, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1065", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, -1, -4],\n [-1, 0, 3, -1],\n [3, -3, 1, 2],\n [3, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3327", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, -4, 1],\n [1, -4, -2, 0],\n [-4, -2, -4, 0],\n [1, 0, 0, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1652", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -1, 2],\n [0, 2, -3, -1],\n [1, -2, -1, 0],\n [-3, 1, -1, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, -3, 4],\n [2, 4, 0, 1],\n [-3, 0, 2, -2],\n [4, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "732", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-4, -2, -1, 2],\n [-2, -4, 0, -4],\n [-1, 0, -2, 0],\n [2, -4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 3, -2, 2],\n [3, 1, 4, 0],\n [-2, 4, 3, 0],\n [2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3157", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -1, -2],\n [1, -1, -4, 3],\n [0, -4, -4, -3],\n [-3, 3, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1402", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 0],\n [2, 1, 2, 0],\n [-2, 2, -3, -1],\n [0, 0, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "914", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 2, 2, -2],\n [2, -1, 4, -4],\n [2, 4, 2, 3],\n [-2, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2, 0],\n [0, 2, 3, 0],\n [-2, 3, -4, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-238", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -4, 2, 0],\n [3, 4, -2, 0],\n [-3, -4, -3, -2],\n [-3, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1892", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 1, -1],\n [-2, -1, -1, -4],\n [0, -4, -3, -2],\n [3, 2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "383", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 4, -1],\n [0, 1, -1, 4],\n [-4, 3, 4, -4],\n [-4, -4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[1, 3, -2, -1],\n [-2, -4, -2, 2],\n [1, 3, 1, -2],\n [-3, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[3, 4, -1, 3],\n [4, -2, 1, -4],\n [-1, 1, 0, -2],\n [3, -4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -4],\n [-2, -3, -2, -2],\n [0, -2, 2, -2],\n [-4, -2, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3726", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 0, -1, 1],\n [4, 1, -3, -4],\n [-4, 0, -1, 2],\n [-3, -3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, 2, 2, -3],\n [2, 4, 0, -3],\n [-1, -2, -1, -2],\n [-4, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, -1, -4],\n [1, 4, -1, 0],\n [-3, 1, 3, 3],\n [-2, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "792", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-2, 0, 0, 2],\n [0, 2, -1, 2],\n [0, -1, 2, 0],\n [2, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -3, 1],\n [-4, 1, 1, 3],\n [-3, 3, 0, -4],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3500", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, 4, -1],\n [4, 4, 2, 2],\n [4, 2, 1, -4],\n [-1, 2, -4, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1668", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1, 2],\n [2, 3, 0, 0],\n [1, 0, 4, 0],\n [2, 0, 0, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, -2, 4],\n [3, 4, -3, -3],\n [-2, 1, 0, 1],\n [-3, -2, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-207", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 4, 4],\n [0, 3, -1, 2],\n [4, -1, -4, -1],\n [4, 2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3034", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, -1, -2],\n [4, 3, 2, 0],\n [-3, 3, -4, -3],\n [-1, -1, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-620", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, -1, -1],\n [-2, -3, -1, 1],\n [-2, 0, -3, -2],\n [-4, -1, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-585", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, 0, -2],\n [-1, 4, 0, 0],\n [0, 0, -3, 4],\n [-2, 0, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "790", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -3, 2, 0],\n [-3, -4, 0, 0],\n [2, 0, -2, -2],\n [0, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -3, 3],\n [0, 0, 0, -2],\n [-3, 0, 3, 0],\n [3, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, -3, 0],\n [1, 0, 2, 2],\n [-3, 2, -4, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1500", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, 0, 0, 0],\n [0, -4, -1, 1],\n [0, -1, 3, -2],\n [0, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, 1, -3, 3],\n [1, 3, 2, -3],\n [3, 2, 0, 4],\n [0, -4, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-2, 2, -2, 2],\n [2, -2, 0, 0],\n [-2, 0, -2, -2],\n [2, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -3, -1],\n [0, 4, -3, 3],\n [1, 0, 2, -4],\n [-2, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "940", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, -2, 3],\n [-1, -3, -2, 0],\n [-3, 1, -2, -1],\n [3, -2, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1122", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 3, 0],\n [-2, -3, -2, -2],\n [4, 1, 4, -3],\n [4, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3913", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[2, 0, 0, -2],\n [0, 2, 0, 2],\n [0, 0, -2, -3],\n [-2, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, -2, 0],\n [3, 3, -4, 0],\n [-2, -4, 3, 2],\n [0, 0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1939", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 2, -2],\n [2, -2, 2, -4],\n [2, 2, -4, 0],\n [-2, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-648", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2, 1],\n [3, 0, 2, 2],\n [3, 0, -2, -3],\n [-1, 2, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "337", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, -2, 0],\n [1, 0, 2, 1],\n [-2, 2, 3, 1],\n [0, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "626", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, -2, 1],\n [0, 1, -4, 0],\n [4, 1, -1, 1],\n [-3, -3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1748", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, -2, 2],\n [-2, -3, -2, -2],\n [-2, -2, 3, 2],\n [2, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4047", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[1, -4, 3, 1],\n [2, -4, -3, 1],\n [1, -1, 0, 3],\n [-4, 4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 0, 0],\n [0, 4, 0, 0],\n [0, 0, 4, 4],\n [0, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2560", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 2, -3],\n [-2, 1, 0, -1],\n [2, 0, -3, 0],\n [-3, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "775", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, 1, 3],\n [0, -2, -3, 3],\n [-1, 2, -4, 3],\n [4, -3, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10721", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -3, 0, 2],\n [-1, 3, -4, -3],\n [-2, 1, 2, 0],\n [4, 3, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1912", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, 1, -2, 4],\n [2, -2, 2, -3],\n [-1, 3, -1, -1],\n [-2, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, -2, 1, -1],\n [-2, -1, 0, -1],\n [1, 0, -4, 0],\n [-1, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "310", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, 0],\n [0, -1, 0, 0],\n [2, 0, 4, 1],\n [0, 0, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 2, -2, 0],\n [2, 0, 0, -2],\n [-2, 0, -2, -2],\n [0, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -4, -2],\n [1, 0, -4, 2],\n [-2, -2, 2, 1],\n [1, -4, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, 2, -4],\n [2, 2, -4, 1],\n [-3, 4, -1, 2],\n [-1, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3765", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, -1, 4],\n [1, 2, -1, 3],\n [3, -2, -4, 3],\n [-4, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-299", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -1, 2],\n [0, 1, -2, -1],\n [-1, -2, 3, -1],\n [2, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1775", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, -2, -1],\n [2, -4, 1, -1],\n [-2, 1, -4, 2],\n [-1, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10550", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 4, 3],\n [-2, 3, -3, -3],\n [-3, 2, -3, 0],\n [-1, -3, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -4, 0],\n [4, 3, 0, 2],\n [-4, 0, -2, 1],\n [0, 2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, -2, 3],\n [0, -3, -1, 1],\n [-2, -1, 3, -2],\n [3, 1, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "586", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -2, 2],\n [-2, 4, 0, 0],\n [-2, 0, 0, -2],\n [2, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "890", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, -4, 2],\n [4, -2, -3, -1],\n [4, 4, -3, -4],\n [0, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2658", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 3, 4],\n [-4, -4, -3, 3],\n [0, 0, -3, -3],\n [-4, 1, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-372", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -3, -2, 2],\n [0, 4, 0, 0],\n [-2, 3, 1, 1],\n [-3, 3, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, -3, -1],\n [-3, 2, -3, -4],\n [-3, -1, 0, 2],\n [-1, 4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5766", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 0, -4],\n [-1, 2, -4, 2],\n [3, -2, 1, -4],\n [3, 3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8045", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, -3, 1],\n [-4, 3, 1, -1],\n [-3, 1, 1, 2],\n [1, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -3, 4],\n [-2, 0, 4, 4],\n [-1, -4, -1, 2],\n [0, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2030", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -1, -3],\n [0, 1, 3, -2],\n [-1, -2, -4, 3],\n [2, -3, 2, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -1, -1],\n [-1, 4, 0, 4],\n [-1, 0, 4, 1],\n [-1, 4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 0, -3],\n [3, -3, 3, -1],\n [2, 0, 3, -1],\n [0, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3492", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, -3, 0],\n [0, 2, -3, -2],\n [4, -4, -1, 2],\n [-2, 0, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1324", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[3, 3, 4, 1],\n [0, 1, -4, -1],\n [-4, 1, 2, 1],\n [1, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "510", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-1, 0, -4, 3],\n [2, -4, -4, 3],\n [-3, 0, 4, -2],\n [0, 4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, -2, 2],\n [-1, -3, -4, 1],\n [-2, -4, -4, 0],\n [2, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22391", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 1, 0],\n [-2, -4, -2, -1],\n [1, -2, 0, 2],\n [0, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "554", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 1, -2, 0],\n [1, 1, 0, 0],\n [-2, 0, -4, 3],\n [0, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "437", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 0, 0],\n [-1, -3, 4, 0],\n [0, 4, 2, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2221", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-2, 3, -2, 0],\n [4, -1, -2, 4],\n [-4, 0, 2, 2],\n [0, 4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "776", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, -2, 3],\n [-1, 3, 3, 2],\n [-4, -1, 0, 1],\n [0, 1, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-986", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 1, 3],\n [1, -3, -1, -3],\n [1, -4, -4, -2],\n [4, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 2, 0],\n [0, 1, 2, 0],\n [2, 2, 4, 0],\n [0, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2349", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, 1, -2],\n [0, -1, 4, -1],\n [3, 4, 0, -3],\n [2, 3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, -2, 0],\n [3, -2, -2, 0],\n [-2, -2, -3, 0],\n [0, 0, 0, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -2, -2, 0],\n [-2, 2, -1, 2],\n [-2, -1, -1, 0],\n [0, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1462", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -2, 1],\n [1, -4, 3, -3],\n [-2, -1, -1, 2],\n [-3, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "777", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-3, 0, 2, 4],\n [-3, -1, 4, -1],\n [2, -3, -1, -4],\n [-3, 1, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 4, -1, -4],\n [2, 3, -4, -3],\n [-4, 0, 2, -2],\n [3, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8216", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, -2, 0, -2],\n [-2, 4, 1, 0],\n [0, 1, 0, 1],\n [-2, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, -2, 1],\n [2, 4, -1, 2],\n [-2, -1, -3, -2],\n [1, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[2, 4, 0, 0],\n [4, 0, 1, 0],\n [0, 1, 3, 0],\n [0, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 4, -2, 4],\n [-4, 4, 3, -4],\n [1, -2, -4, -3],\n [-3, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1171", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[4, 3, -3, -1],\n [0, -2, 3, -2],\n [4, -4, -3, 3],\n [3, 3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -4, 0, 2],\n [-4, 2, -2, -3],\n [0, -2, 2, -4],\n [2, -3, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8409", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, 4, -1],\n [0, 0, -1, 3],\n [1, -1, -2, 3],\n [-4, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-449", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 2, -2],\n [0, -2, -1, 0],\n [2, -1, 1, 2],\n [-2, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -1, 0],\n [0, -3, -1, -1],\n [2, 4, -4, -2],\n [-2, -1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, 1, 3, -3],\n [2, 3, 0, 3],\n [3, -1, -2, 1],\n [-3, 0, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, 1, 0],\n [1, 1, 2, 3],\n [1, 2, -3, 2],\n [0, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 2, -4],\n [0, -2, 1, 2],\n [2, 1, 3, 0],\n [-4, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-1, 4, 1, 2],\n [4, -4, 2, 0],\n [1, 2, -4, 2],\n [2, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 0, 1],\n [0, -1, 1, 0],\n [0, 1, 0, 1],\n [1, 0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 4, 4, 0],\n [2, -3, -4, 1],\n [0, -1, -4, -3],\n [0, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2914", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 3, 0],\n [3, 1, -2, -2],\n [2, 4, 4, -2],\n [-1, -3, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1958", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, -3, -4],\n [1, -3, -1, -1],\n [4, -3, -4, -2],\n [-2, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "879", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 0, 3],\n [-3, -3, 3, -2],\n [0, 3, 2, -1],\n [3, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11178", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -4, 3],\n [-2, -4, 2, -2],\n [3, -4, 2, 0],\n [2, 1, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, -3, 1],\n [-4, -1, 3, 3],\n [-4, 3, -4, -2],\n [-3, 4, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27997", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, 1, 1, 2],\n [-2, 0, 1, -1],\n [1, 1, 3, -3],\n [-1, -4, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-4, 0, 1, 0],\n [0, 3, 2, -1],\n [1, 2, 2, -2],\n [0, -1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0, 2],\n [0, 2, -3, -2],\n [0, -3, 0, 0],\n [2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 4, 4, 2],\n [4, 3, 4, -3],\n [-4, -4, -1, 4],\n [1, -3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1025", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, -2],\n [0, -4, 2, 1],\n [2, 2, -2, -3],\n [-2, 1, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6385", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -2, 0],\n [-2, -1, 4, 0],\n [-2, 4, -1, 0],\n [0, 0, 0, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-2, 0, 3, -2],\n [0, 3, 2, -2],\n [3, 2, 0, 1],\n [-2, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, -4, -1],\n [-3, 4, 3, 0],\n [1, 1, -4, 0],\n [-2, -3, -3, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -2, -1],\n [0, -1, 2, 0],\n [-2, 2, 2, -4],\n [-1, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1053", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 3, 4],\n [2, 4, 4, -2],\n [3, -4, 3, 0],\n [3, 3, -4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1600", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 2, 1],\n [0, -3, -4, -2],\n [2, -4, 4, 1],\n [1, -2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11750", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, -2],\n [0, -3, -2, -2],\n [-2, -2, -3, 2],\n [-2, -2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5902", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, 3, 1],\n [4, -2, 1, 2],\n [-4, -2, 1, 3],\n [-1, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "736", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, 1, 0, -2],\n [1, -2, 2, 2],\n [0, 2, 4, -1],\n [-2, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-4, 1, 1, 3],\n [1, -2, -2, 0],\n [1, -2, -3, 1],\n [3, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "833", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 0, -2],\n [-4, 1, 1, 0],\n [-2, -2, -2, -4],\n [1, -4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "512", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, -1, -2, -4],\n [-1, 1, 0, -4],\n [-2, 0, -4, 2],\n [-4, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "676", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[2, -2, -2, 2],\n [-2, -1, 2, -2],\n [-2, 2, -1, 4],\n [2, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 2, -1, 1],\n [0, 2, -4, -1],\n [-1, 3, -2, 2],\n [-3, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-936", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, 2, 0],\n [1, -1, 0, 0],\n [2, 0, 1, 0],\n [0, 0, 0, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 4, 1],\n [-3, 4, -1, 3],\n [4, 3, 2, 3],\n [1, 0, -4, -4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, -3, 2],\n [3, -2, -2, -2],\n [-1, -1, -2, 1],\n [1, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[0, 0, 1, 2],\n [0, 3, 0, 0],\n [1, 0, -1, -2],\n [2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 4, -2, 4],\n [4, -3, 3, 2],\n [2, -4, 3, 2],\n [-4, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4628", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 0, 0],\n [-3, -1, 0, 0],\n [0, 0, 4, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 0, -2],\n [0, 3, 0, 0],\n [0, 0, -3, -3],\n [-2, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-641", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -1, -4],\n [0, 4, 1, 4],\n [-1, 1, -4, -2],\n [-4, 4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7004", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[4, -4, 0, 0],\n [-4, 4, 2, 0],\n [0, 2, 3, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, 2, -4],\n [-1, 2, 0, 1],\n [2, 0, -1, 2],\n [-4, 1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1173", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, 4, -1],\n [2, 3, -4, 3],\n [3, -2, -2, -1],\n [-3, -2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3239", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -2, 1],\n [0, -2, 3, 0],\n [-2, 3, 1, -2],\n [1, 0, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 1, 0],\n [-1, -2, 2, 0],\n [1, 2, -1, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4461", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-4, -1, -2, -1],\n [-1, 3, -2, 0],\n [-2, -2, 1, -1],\n [-1, 0, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[1, -1, 4, 3],\n [4, 2, -3, 1],\n [-1, -2, -1, -4],\n [0, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -3, -2],\n [-2, -3, 2, -1],\n [-2, 0, 1, 4],\n [3, 2, -3, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, -1, -2],\n [-1, -1, -2, -1],\n [-1, -2, 4, 3],\n [-2, -1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1348", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, -2, -4],\n [2, -2, -2, 4],\n [1, -2, 4, 3],\n [1, -4, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 0, -3],\n [-2, -3, 2, -2],\n [0, 2, 2, -2],\n [-3, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1367", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 2, -3],\n [2, 4, 0, -2],\n [4, 3, -4, -2],\n [-3, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6606", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-4, 3, -3, 0],\n [-4, 2, -2, -3],\n [2, 1, -4, 4],\n [3, -3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-509", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, 3, -1],\n [-3, 4, -2, -1],\n [-1, -4, 2, 3],\n [4, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 3],\n [2, 3, 2, -1],\n [-4, 3, 0, -2],\n [2, -2, 3, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1011", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -3, -3],\n [-1, -1, 1, -4],\n [0, 4, -1, -2],\n [3, 4, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1249", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-1, 2, 1, 1],\n [-1, 4, 2, -1],\n [3, 2, -2, 1],\n [1, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, -4, 3, -3],\n [4, 0, 0, 4],\n [-3, 1, -3, 3],\n [-2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, -2, -4, 2],\n [-2, 1, 0, -2],\n [-4, 0, 2, 0],\n [2, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -4, 1, 0],\n [-4, -4, -2, -1],\n [1, -2, 3, 0],\n [0, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4683", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2, -1],\n [0, 0, 0, -2],\n [-2, 0, 4, -1],\n [-1, -2, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 1, -1],\n [-2, 0, 2, -4],\n [1, 2, 4, -1],\n [-1, -4, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-537", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, -3, 2],\n [0, 0, -1, 4],\n [2, -1, 4, 2],\n [3, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[1, 2, -1, -4],\n [0, -2, -2, 4],\n [-4, 1, -3, 0],\n [-3, 4, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-778", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, -2, 1],\n [-3, -1, 3, 2],\n [2, 3, 2, -2],\n [-4, -4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[1, 4, -3, 3],\n [-3, -2, 4, 4],\n [4, -2, 1, 4],\n [4, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "603", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 1, 4, 2],\n [-1, 2, -2, 4],\n [0, -3, -4, -4],\n [-4, 3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-363", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 3, 2],\n [-2, 1, -3, 0],\n [-3, 2, 0, -4],\n [4, 4, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1164", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-1, -1, 0, 0],\n [-1, 3, -2, -4],\n [0, -2, -4, 0],\n [0, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1312", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 0, -3],\n [-2, 0, 2, 2],\n [0, 2, -2, -1],\n [-3, 2, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4740", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, -3, -1, 4],\n [1, 0, 0, 2],\n [-3, 1, -3, -4],\n [0, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, -2, -4],\n [-2, -2, 1, -4],\n [2, -1, 1, 0],\n [-1, -2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4125", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 0],\n [0, 4, 0, 1],\n [0, 0, 2, 1],\n [0, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "677", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, 4, 0],\n [3, -2, 2, 2],\n [4, 2, 3, 2],\n [0, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22075", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, -2, 3],\n [-4, 4, -3, 1],\n [1, 4, -4, -4],\n [-1, 1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 4, -1],\n [2, 1, -2, -1],\n [4, -2, 4, -2],\n [-1, -1, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9642", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 2, 1, 1],\n [2, 2, 0, -3],\n [1, 0, 3, 0],\n [1, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 1, -1],\n [-4, 4, 1, -1],\n [-2, -2, 0, -1],\n [0, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -4, 0],\n [-1, 1, -3, -1],\n [2, 4, 4, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-539", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -4, 4],\n [2, 3, -3, -3],\n [-2, -1, -2, 3],\n [-1, -3, 3, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, 1],\n [1, 3, -2, 2],\n [-3, -4, -3, -3],\n [-1, 1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "849", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, 3, 0, 0],\n [3, 4, -2, 2],\n [0, -2, -2, 0],\n [0, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 0, 1],\n [-2, -2, 1, 3],\n [4, 2, -3, 1],\n [-1, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1830", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, -1, 4],\n [2, -4, -2, -3],\n [0, -4, 3, -2],\n [4, 3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "951", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 4, -2],\n [2, 0, 0, 0],\n [1, -3, -2, -2],\n [1, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-447", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, -1, 3, 0],\n [-4, 0, 1, 1],\n [-4, -1, -4, -2],\n [0, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -3, 0, 3],\n [-3, 2, 0, 0],\n [0, 0, 0, 0],\n [3, 0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1875", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -4, 2],\n [0, 4, 0, 1],\n [-4, 0, 3, -2],\n [2, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1729", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[1, -2, 1, 0],\n [-2, 2, 0, 2],\n [1, 0, -2, -2],\n [0, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 3, 1],\n [-4, -1, 2, 1],\n [1, 1, 0, 1],\n [0, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "465", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -1, -4, -3],\n [1, 2, 0, -2],\n [-4, -3, -3, 2],\n [0, 1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2438", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, -2, -2],\n [4, -3, -4, 3],\n [2, 2, -4, 4],\n [-1, 4, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8525", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, 4, -1, 2],\n [2, 0, 4, -4],\n [0, 1, 4, 2],\n [-4, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 2, -3],\n [1, 3, 4, 3],\n [1, -3, -2, 3],\n [1, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2224", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -4, -4, -1],\n [3, -3, 1, -2],\n [4, -4, -4, -1],\n [3, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, -2],\n [0, 3, -1, 0],\n [-4, 1, 2, 0],\n [-3, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2822", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, 0, 0, 3],\n [4, -4, -3, 3],\n [4, -2, -3, 2],\n [-2, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0, -3],\n [2, 0, -3, 3],\n [0, -1, 4, 4],\n [-2, -3, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "858", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 2, -4],\n [3, 4, -4, 3],\n [-1, -4, 2, -4],\n [0, 1, 0, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-584", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, 2, -3],\n [-4, -3, 1, 2],\n [-2, 0, 3, -2],\n [-1, -1, 1, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 3, -1],\n [4, -3, -1, -1],\n [2, 2, 3, 4],\n [0, 1, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2949", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -3, 0, -4],\n [-3, 4, 0, 1],\n [0, 0, -4, -2],\n [-4, 1, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15840", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-3, 1, 4, 4],\n [0, -3, -3, 2],\n [-2, 1, 0, 2],\n [-4, 3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 2, -3],\n [4, 4, 1, 4],\n [1, 2, -1, -4],\n [3, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6948", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-4, -4, -4, 4],\n [0, 1, 4, 1],\n [-2, 4, 2, 0],\n [2, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1000", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, 3, 0],\n [3, -2, -3, 0],\n [4, -1, -4, -3],\n [-1, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15546", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[4, 0, 0, 2],\n [0, -4, 4, 0],\n [0, 4, -2, 0],\n [2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1248", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 4, 0],\n [1, 2, 2, -1],\n [2, 0, -2, 4],\n [-2, 1, 1, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -2, -2],\n [-1, -3, 1, 2],\n [-3, 3, -1, 0],\n [1, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "964", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 4, -1, 4],\n [-3, 0, -1, -3],\n [2, -2, -1, 2],\n [-3, -4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1068", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, -2, 1],\n [-2, 0, -3, 2],\n [-2, -3, -3, -1],\n [1, 2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -4, -2],\n [-2, 3, 2, 0],\n [-4, 2, 1, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1187", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 3, 0],\n [-2, 4, 1, 2],\n [4, 2, 2, 1],\n [-1, 0, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "717", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -3, 1],\n [1, -1, 3, -3],\n [-2, 4, -1, 2],\n [-3, -1, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, -2, 3],\n [3, -1, 0, -2],\n [2, 4, 1, -3],\n [2, -1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 2, 1],\n [1, -4, 1, -1],\n [2, 1, 0, -3],\n [1, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, -1, 4],\n [-2, 0, -2, 0],\n [3, -4, 4, 0],\n [1, -2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, -3, -4],\n [2, 3, -4, 2],\n [0, -1, 4, -2],\n [-3, 2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13297", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 1, -4, -3],\n [-3, 2, 0, 1],\n [2, 2, 1, 0],\n [1, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1636", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -2, 0],\n [4, 1, -2, 0],\n [-2, -2, 0, 2],\n [0, 0, 2, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, -2],\n [2, -2, 0, 1],\n [0, 0, -2, -2],\n [-2, 1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, -1, -2, 4],\n [-4, 3, -3, 0],\n [3, -1, -4, 3],\n [2, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -3, 4],\n [2, 3, -1, 0],\n [-3, -1, 2, 1],\n [4, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7943", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -3, 0],\n [0, 2, -2, 3],\n [-3, -2, 0, 0],\n [0, 3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1131", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -4, 2, 2],\n [2, -3, -1, 3],\n [3, -1, -4, -3],\n [4, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11074", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -1, 4],\n [3, 2, -4, -1],\n [-4, 3, -4, 1],\n [1, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2750", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, -4],\n [-4, -3, -4, 4],\n [2, -3, 0, -2],\n [2, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1724", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, -3, -3],\n [0, -1, 0, 2],\n [-3, -2, -1, 0],\n [-1, -3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3770", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, -3, -1],\n [-2, -3, 3, -2],\n [1, 3, 4, 2],\n [-1, 4, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "632", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 1, 1],\n [2, -1, 4, -2],\n [-4, 0, 1, 0],\n [3, -3, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "464", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 1],\n [-2, -3, -2, 4],\n [0, -2, 2, -2],\n [1, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-4, 2, 0, -4],\n [2, 0, 3, 3],\n [0, 3, -4, -2],\n [-4, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "994", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -2, -4, 2],\n [-4, 4, 3, -2],\n [-4, 1, -4, -2],\n [-4, -3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3491", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, -4, 2],\n [1, 4, 2, 1],\n [-4, 3, -3, -1],\n [-2, -3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-298", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 2, 2],\n [-2, -4, -3, -2],\n [2, -3, 2, -4],\n [2, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9243", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, -1, 2],\n [-1, -1, 0, -2],\n [-1, 0, -1, 0],\n [2, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1096", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 0, 4],\n [2, 3, 4, -2],\n [0, 4, -2, 2],\n [4, -2, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7065", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 2, 3],\n [1, 4, 2, 4],\n [3, 4, 0, -3],\n [-2, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6836", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2, 2],\n [3, -1, 1, -3],\n [3, -1, 0, -4],\n [-2, -4, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, 4, 3],\n [0, -3, 4, 0],\n [0, 3, 1, 2],\n [1, 2, 3, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -3, -2, 0],\n [-3, 3, 0, 2],\n [-2, 0, -3, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-4, 0, 3, 3],\n [-2, -3, -4, 1],\n [-3, 0, -3, 4],\n [0, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[2, -3, 2, -2],\n [-3, 1, -4, 2],\n [2, -4, -2, 2],\n [-2, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -4, 3, -1],\n [-2, 4, -4, -4],\n [-3, 4, 1, 3],\n [-2, 2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1544", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, -4, -1, -1],\n [-4, 2, 2, -1],\n [-1, 2, -2, -4],\n [-1, -1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, 4, 1],\n [4, -4, 2, -1],\n [3, 0, -2, -1],\n [-1, -3, 2, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 1],\n [0, -2, -1, 0],\n [0, -1, 2, -2],\n [1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, -2, -1, 1],\n [-2, 2, -2, 0],\n [-1, -2, 4, -4],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, 0, -3],\n [-2, 3, -4, 2],\n [-2, 0, -1, 4],\n [-2, 4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 4, 4, 3],\n [4, 2, -4, 1],\n [1, 3, 4, -4],\n [1, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11104", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, -3, -3],\n [-3, -2, -1, 3],\n [0, -4, 3, 3],\n [1, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "693", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-4, 3, -2, 3],\n [2, 2, 3, 3],\n [-1, 0, 3, -1],\n [1, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, 1, 0],\n [-2, 1, 2, 0],\n [1, 2, -4, -2],\n [0, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3679", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 0, -3, 0],\n [0, 0, 2, 0],\n [-3, 2, 2, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 0, -1, 2],\n [0, -1, 1, -2],\n [0, 2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, -3, -1],\n [-1, -4, -1, 2],\n [-2, 1, 3, 4],\n [2, 0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "705", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, -1, -1],\n [1, 2, -1, 0],\n [-1, -1, -2, -4],\n [-1, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2824", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, -2, 0],\n [-2, 1, 0, 3],\n [-2, 0, 2, 2],\n [0, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, 3, 3],\n [-4, 3, 2, 3],\n [1, 4, -1, 0],\n [-4, -4, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 3, -4],\n [-4, -4, 4, 1],\n [4, -2, 4, 0],\n [3, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4560", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -3, 2],\n [0, -1, 3, 2],\n [-3, 3, -2, -2],\n [2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6361", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 0, 2],\n [-1, 1, 0, -1],\n [0, 0, 4, -2],\n [2, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 0],\n [0, -4, 2, -1],\n [0, 2, 2, 1],\n [0, -1, 1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 0, 0],\n [-2, 1, 1, 1],\n [0, 1, 2, 0],\n [0, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, 3, 0, 1],\n [4, 1, 4, 0],\n [3, 1, 1, 2],\n [-2, 0, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 4],\n [2, 4, 1, -1],\n [2, -3, 2, -4],\n [-1, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1583", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[2, 2, 0, 1],\n [-1, -4, 3, -3],\n [-4, 2, 3, 0],\n [2, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-532", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, -2, -1, -1],\n [-2, 4, 1, -3],\n [-1, 1, 1, 4],\n [-1, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-379", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, -3, -2, 1],\n [0, 4, -3, -2],\n [-3, -3, -1, 3],\n [1, -4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2170", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, 0, 4],\n [3, -4, 3, 2],\n [2, 4, 0, 3],\n [2, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2033", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 0, 2, 0],\n [0, -2, 2, 1],\n [2, 2, 3, 0],\n [0, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, -1, 0],\n [-3, 0, 0, -1],\n [-1, 0, -3, -2],\n [0, -1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4405", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[4, 3, -1, -2],\n [3, -4, 0, 2],\n [-1, 0, 2, 0],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, 2, 4],\n [-1, -1, 0, 3],\n [3, 3, -4, -1],\n [-1, 3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "846", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-1, -2, -3, 2],\n [-4, 2, 2, 4],\n [-4, 4, -3, -4],\n [-2, -1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, -1, -1],\n [4, 2, -1, -1],\n [-2, 0, -2, -1],\n [-1, 0, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, -2, 0],\n [3, 2, -2, -1],\n [2, -1, 1, -2],\n [0, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -2, 2],\n [0, -4, -1, 2],\n [-2, -1, 3, -2],\n [2, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1169", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[2, -1, 3, -3],\n [-1, 0, 0, 0],\n [3, 0, 1, -3],\n [-3, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 4, 3, -4],\n [0, 4, -4, -2],\n [-4, -3, -1, 0],\n [-1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1390", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, 0, 4],\n [-2, 0, 2, 0],\n [0, 2, 3, -1],\n [4, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "709", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -2, 0],\n [2, -2, 0, 0],\n [-2, 0, 2, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3312", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 4, 4, 2],\n [1, -3, -2, 3],\n [1, -2, 3, -4],\n [0, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "646", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, 1, -2, -2],\n [1, 2, 1, -2],\n [-2, 1, -2, 2],\n [-2, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, -3, 2],\n [-3, -1, 3, 3],\n [-2, -2, -4, -1],\n [1, -4, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, -2, -2],\n [-2, 3, -1, 2],\n [-2, -1, -4, -2],\n [-2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6770", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, -2, 0],\n [-2, -4, 0, -4],\n [-2, 0, 0, 0],\n [0, -4, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7946", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -3, -2],\n [1, -4, 1, -4],\n [3, -2, -3, -4],\n [-4, -2, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1092", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, -2, 2],\n [1, -1, -3, 1],\n [2, 4, -4, -3],\n [-4, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "936", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, 3],\n [4, 3, 2, 3],\n [0, -2, 4, 0],\n [-4, -1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-305", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[1, 3, -4, 3],\n [3, 3, 2, 0],\n [-4, 2, 0, 1],\n [3, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "464", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -2, -3, -2],\n [-1, -1, -4, -3],\n [2, 3, 4, 3],\n [3, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5866", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -4, 2, 2],\n [-4, -1, 2, 0],\n [2, 2, 4, 1],\n [2, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4255", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -4, -2, 0],\n [-4, 4, 1, 0],\n [-2, 1, 2, 0],\n [0, 0, 0, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 4, -4, -3],\n [4, -1, 3, -3],\n [-1, -3, -3, 1],\n [-4, 4, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-312", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, -1, 0],\n [-1, 2, 3, -3],\n [-3, 4, 2, 3],\n [0, 3, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3064", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, -2, -4],\n [3, -2, 1, -1],\n [-4, 4, -3, -3],\n [-4, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 1, -4, -4],\n [2, 4, 4, 4],\n [3, -3, 0, -3],\n [0, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, 2, 2, 2],\n [2, 1, -3, -1],\n [1, -1, 1, -2],\n [0, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 2, -1],\n [1, 3, 1, 4],\n [3, -4, 3, -1],\n [4, 1, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1787", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, 0, 2, -2],\n [0, 1, -3, 0],\n [2, -3, -4, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[1, 2, 1, 2],\n [2, -4, 0, -2],\n [1, 0, 3, -1],\n [2, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2, -1],\n [0, -2, -1, 3],\n [-2, -1, 2, 2],\n [-1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "495", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, 3, -4],\n [-4, -2, 2, 2],\n [3, 1, 4, -2],\n [-1, -3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2117", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -4, -4, -1],\n [-4, 0, 4, 4],\n [0, -2, 0, -2],\n [1, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "992", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 3, -3],\n [-1, -1, -1, 0],\n [-3, 1, 0, -2],\n [-4, -1, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "361", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, -2, 0],\n [2, -2, 1, 2],\n [-2, 1, 2, 0],\n [0, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "841", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 4, 4, 4],\n [4, -1, -1, 2],\n [3, 3, 4, -2],\n [-1, -1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6572", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 0, 4],\n [0, -3, 0, 4],\n [-2, 4, 0, 0],\n [-2, 2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 0, 2],\n [-2, -3, 0, -2],\n [4, -2, -2, -4],\n [3, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-1, -3, 0, -4],\n [1, -3, 1, -1],\n [0, -4, -4, -2],\n [4, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2, -2],\n [-2, -3, 2, -2],\n [2, 2, -3, -1],\n [-2, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-756", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[4, 0, -4, -4],\n [3, 0, 0, 0],\n [1, -4, 2, 0],\n [-2, -3, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, -2, 2, -2],\n [-2, 3, -1, 0],\n [2, -1, 0, 2],\n [-2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, 0, 2],\n [3, -3, 2, -1],\n [0, 2, -4, 1],\n [2, -1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "703", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, -4, -4, 0],\n [-2, -2, 2, -1],\n [-2, -3, -4, 1],\n [-1, 4, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, -2, 4, -4],\n [3, 4, 2, -2],\n [-2, 4, -3, 0],\n [-3, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, -3, 2],\n [-4, 3, 2, 2],\n [-3, 2, 1, 2],\n [2, 2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "990", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, -1, -3],\n [4, -3, -3, 1],\n [3, -4, 3, -1],\n [3, -2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-402", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, -4, 2],\n [-3, 4, -2, 4],\n [4, 2, 1, 4],\n [-1, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5660", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, 4, -2],\n [-3, 1, 1, -3],\n [4, -3, -1, -4],\n [-3, 1, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 1, 2, -4],\n [1, 4, -1, 0],\n [2, -1, -1, 0],\n [-4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "537", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, 0, 2],\n [3, -3, 4, 0],\n [0, 4, -1, -2],\n [2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6774", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, 0, 3],\n [-1, 3, 1, 0],\n [0, 1, -2, 0],\n [3, 0, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2236", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 1, -3, 0],\n [1, 1, -1, 0],\n [-3, -1, -3, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1287", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, 0, 2],\n [-1, 4, 0, 3],\n [0, 0, -2, 0],\n [2, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4601", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, 3, -3],\n [3, -3, -4, -4],\n [-4, -2, -2, -1],\n [-3, -4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12850", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, 0, -1],\n [1, -1, -1, 0],\n [0, -1, 4, 0],\n [-1, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 3, 3],\n [0, 1, -4, 3],\n [-1, 4, -1, -3],\n [1, 4, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2620", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, 2, 0],\n [1, -3, 4, 1],\n [2, 4, -1, -2],\n [0, 1, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[1, -4, -3, 0],\n [-1, -3, 3, -4],\n [4, 0, 4, 4],\n [-2, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, -2, 4],\n [-3, 1, 2, 2],\n [-3, 0, 2, -3],\n [-3, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13644", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, -1, -2],\n [-2, -1, -2, 3],\n [-1, -2, -2, -1],\n [-2, 3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2470", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 2, -1],\n [-2, -2, 4, 1],\n [2, 4, -3, 2],\n [-1, 1, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 0, -1, -1],\n [0, -3, 0, 2],\n [-1, 0, -4, 4],\n [-1, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, -3, 1],\n [2, -4, 3, -4],\n [0, 2, 3, -4],\n [2, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3329", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-2, 1, 1, 0],\n [-4, -3, -1, -2],\n [-3, -2, 1, -4],\n [1, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, -2],\n [0, -3, -2, 0],\n [2, -2, -1, 2],\n [-2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3003", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, -1],\n [-2, -1, -1, 3],\n [0, -1, 2, 0],\n [-1, 3, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1241", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[3, 0, -1, -2],\n [0, 1, 1, -2],\n [-1, 1, 0, -1],\n [-2, -2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-3, -4, 0, -1],\n [-2, -2, -1, -3],\n [0, -4, -3, 2],\n [-1, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "640", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, 2, 1],\n [0, -1, 2, 2],\n [2, 2, -2, 0],\n [1, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 1, 1],\n [-2, -2, 2, 4],\n [3, -3, -4, 2],\n [-3, -3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "634", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -3, 0, 4],\n [4, -4, -1, 0],\n [2, 3, -1, 2],\n [3, -3, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12677", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 2, -4],\n [0, -2, -3, -3],\n [2, -3, -3, -2],\n [-4, -3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11030", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 2, 0],\n [-3, 4, 0, -3],\n [3, 0, 1, 4],\n [3, -1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "826", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, -2, 0],\n [-2, 1, 0, 0],\n [-2, 0, -1, 3],\n [0, 0, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-3, 0, 4, -2],\n [0, 1, 0, 1],\n [4, 0, 1, 2],\n [-2, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-688", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, -2, -3],\n [2, -3, 1, 2],\n [-2, 1, -1, 3],\n [-3, 2, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, -1],\n [0, 1, -1, 0],\n [0, -1, 4, 2],\n [-1, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "352", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 0, 0],\n [4, 3, -4, 4],\n [4, -2, -2, 0],\n [-4, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "857", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -2, 0, 2],\n [-2, 2, 2, 4],\n [0, 2, 2, -2],\n [2, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1001", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 4, -3],\n [-2, -1, 3, -1],\n [3, 2, 4, 2],\n [-3, 1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 3, 3],\n [4, 0, 1, 0],\n [1, 3, -2, -1],\n [2, 4, -3, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-213", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, 0, 2],\n [1, -2, 1, 1],\n [0, 1, 0, 0],\n [2, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -4, -1, 2],\n [3, 0, 1, 4],\n [0, -4, -1, -2],\n [-4, 3, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, -4, 2],\n [-2, -4, -1, 2],\n [-4, -1, -2, -4],\n [2, 2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7043", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 3, 2, -1],\n [1, -1, -3, 0],\n [0, -2, -3, -3],\n [4, 4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3921", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, 1, 2, -2],\n [1, 3, 2, 0],\n [2, 2, 1, 0],\n [-2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-1, 2, -1, 0],\n [2, -2, 2, -2],\n [-1, 2, 1, 0],\n [0, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, 1, 1],\n [-2, 2, 3, 4],\n [-4, -3, -1, -2],\n [-2, 4, -1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, -2, -2],\n [-1, -1, 2, -4],\n [-3, -2, 3, 1],\n [-1, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[0, -2, 0, 3],\n [-2, -3, 0, 2],\n [0, 0, 2, 2],\n [3, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, -1, -1],\n [-4, -2, 0, 2],\n [-1, 0, -4, 0],\n [-1, 2, 0, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -2, -1],\n [2, 4, 2, 0],\n [-2, 2, 3, 0],\n [-1, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "467", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, -2, -4],\n [-2, 1, 4, 4],\n [-4, 2, 3, -3],\n [3, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2950", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -3, 2],\n [2, 1, 4, -2],\n [-3, 4, -1, 2],\n [2, -2, 2, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, -4, -3, 2],\n [-3, 0, -1, 0],\n [-4, 1, -3, 4],\n [1, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, -1, -2],\n [2, -4, 2, -3],\n [0, 1, 2, 2],\n [1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "614", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, 3, 1],\n [-1, -2, 0, 2],\n [3, 0, -1, 0],\n [1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "764", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 2, 0],\n [0, -4, 0, 2],\n [2, 0, 3, 0],\n [0, 2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "531", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, 4, -1],\n [-3, 2, -1, -2],\n [4, -1, 2, 1],\n [-1, -2, 1, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "385", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -1, 4],\n [-1, 3, 3, -2],\n [2, 2, 4, -2],\n [-1, -1, 2, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-292", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 2, -3],\n [-1, 0, -2, 2],\n [2, -2, 0, 4],\n [-3, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4847", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, -1, -3, 2],\n [-1, -4, -2, -1],\n [-3, -2, -1, 2],\n [2, -1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[0, 0, -2, -2],\n [0, -2, -2, -3],\n [-2, -2, -2, 2],\n [-2, -3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, -3, -4],\n [-2, -1, -2, -2],\n [-3, -2, 4, 0],\n [-4, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8991", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[1, 1, 0, -2],\n [1, 0, 0, -2],\n [0, 0, 0, 2],\n [-2, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, 2, 2, 0],\n [2, -4, -2, -1],\n [2, -2, -1, -2],\n [0, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 4, 2],\n [3, 0, 2, 3],\n [-1, 2, -3, -2],\n [1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "632", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 2, -1],\n [0, -4, -2, 0],\n [2, -2, 3, 2],\n [-1, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2710", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 4, -4, -4],\n [0, -4, -1, -3],\n [2, -1, 2, 3],\n [4, -2, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6700", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 0, -2],\n [1, 1, -2, -2],\n [0, -2, -1, 4],\n [-2, -2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "837", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 3, 0],\n [3, 1, 2, 1],\n [-3, 0, 1, 1],\n [2, -1, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 3, -1, 3],\n [4, -1, -1, 0],\n [-1, -1, 1, 2],\n [-2, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 4, -1],\n [-1, 1, 1, -1],\n [2, -3, -1, -2],\n [1, 4, -1, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 4, 4],\n [0, 0, 1, 4],\n [4, 4, -4, 3],\n [1, 0, -1, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 1, -4],\n [0, -4, 0, -2],\n [1, 0, 0, 4],\n [-4, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2776", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-4, 2, 3, -3],\n [0, 3, 3, 4],\n [-1, 2, -1, 3],\n [0, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, -2, -2],\n [1, 2, 0, 0],\n [-2, 0, 4, 1],\n [-2, 0, 1, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, 1],\n [0, 0, 0, 0],\n [0, 0, 1, 1],\n [1, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -3, 3, 0],\n [3, -3, -3, 2],\n [2, 4, -3, 0],\n [-3, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-2, 3, 2, 2],\n [0, -1, 3, 1],\n [2, -4, -2, 0],\n [0, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, 1, 0],\n [-3, -2, 3, -2],\n [4, 4, 3, 2],\n [-3, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1614", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -1, 0, -2],\n [1, -4, 2, 1],\n [-4, 0, -2, 3],\n [2, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 1, 3],\n [-3, 1, -4, 2],\n [-4, 2, 3, -1],\n [1, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "670", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, 4, 3],\n [2, 1, 1, 2],\n [-1, 0, -2, 2],\n [1, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "330", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, 1, -2],\n [4, 2, 0, 3],\n [0, 2, 2, 3],\n [2, -1, 2, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -2, 2],\n [0, 3, 0, 2],\n [-2, 0, -2, 2],\n [2, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "547", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, -2, 1],\n [2, -1, 3, 2],\n [-2, 3, -2, 1],\n [1, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "359", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -1, -3],\n [2, 4, 4, 2],\n [-2, 4, -2, 0],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1248", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -4, -3, 4],\n [-3, 1, 1, 4],\n [-3, 2, 3, 3],\n [3, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "595", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, -4, 3],\n [-2, 3, 2, 1],\n [-4, 2, 3, -4],\n [3, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "814", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 1, 4],\n [3, -2, -2, -4],\n [1, 3, -3, -2],\n [-2, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5811", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 0, 1],\n [-2, 3, 0, -2],\n [0, 0, -3, 2],\n [1, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "606", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -1, -3],\n [-4, 1, 3, -1],\n [3, -1, -2, 4],\n [-3, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4598", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, 3, 4],\n [-4, -1, 0, 0],\n [2, 1, 2, -3],\n [1, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 1, 0],\n [2, 2, -2, 0],\n [1, -2, -2, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1390", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 2, 2],\n [-2, -2, -2, 0],\n [2, -2, 0, -2],\n [2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, 0, 0],\n [4, -1, 0, 2],\n [0, 0, 2, -2],\n [0, 2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7021", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, 2, -1, 2],\n [2, 1, 2, 2],\n [-1, 2, 3, 2],\n [2, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, -2, -3],\n [1, -3, 0, 0],\n [-2, 0, 4, 2],\n [-3, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1158", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 4, -3],\n [-2, 1, 1, 0],\n [4, -4, 4, -3],\n [-1, 4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0, 3],\n [0, -1, 1, 1],\n [0, 1, -1, 1],\n [3, 1, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "792", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 4, -1, 0],\n [-3, -1, 4, 0],\n [0, 3, -3, 0],\n [1, 2, -4, -1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 2, 0],\n [-2, -2, 0, 0],\n [2, 0, 2, -2],\n [0, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, 1, 0],\n [4, 1, -2, -3],\n [-1, -2, -1, -3],\n [3, 2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1444", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, 3, 4],\n [0, -3, 4, 0],\n [2, 4, 3, -4],\n [-3, 3, 2, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, -2, -2],\n [-4, 4, 4, -3],\n [-2, 4, -2, -2],\n [-2, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3132", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, 2, -2],\n [-1, -4, 0, 0],\n [2, 0, -4, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "503", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, 4, -4],\n [-1, 1, 1, -3],\n [-4, 0, 1, 0],\n [0, -4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -1, 4],\n [0, 2, 2, 2],\n [4, -1, 2, 1],\n [-4, 0, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-581", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, -2, -2],\n [2, -3, -2, 1],\n [-2, -2, -3, 0],\n [-2, 1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4614", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, -3, 1],\n [-2, -1, 0, -1],\n [1, 3, -4, 4],\n [-3, -3, 3, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 4, -4],\n [0, -1, 0, 2],\n [4, 0, 1, 0],\n [-4, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1378", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 1, 1],\n [-1, 2, 4, 0],\n [-2, 1, 2, 3],\n [3, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "280", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, -3, -3],\n [-2, 4, 2, 1],\n [0, 4, -1, 0],\n [-1, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 2, 1],\n [-4, -2, -1, 0],\n [3, 4, 1, -2],\n [2, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, -2, 2],\n [-4, -3, 4, 4],\n [-2, -4, -2, -3],\n [2, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, 1, 0, 1],\n [1, -3, 3, 0],\n [-4, 0, 1, -2],\n [2, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, -2, -1],\n [-3, 1, 0, -3],\n [3, 4, -4, -1],\n [-1, 3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[1, 2, 0, 3],\n [2, 2, 2, 0],\n [0, 2, -1, 2],\n [3, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-427", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -4, 1, 1],\n [3, 4, 4, -2],\n [0, 2, 4, 2],\n [-1, 4, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "532", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -2, 3],\n [-1, -1, 0, 3],\n [-4, 2, -1, 4],\n [1, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, -1, 1],\n [-1, -1, 2, -1],\n [-1, 2, 0, -3],\n [1, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "565", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 0, -1, 0],\n [0, -1, 4, 4],\n [-1, 4, 4, -4],\n [0, 4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, -2, 1],\n [0, 2, -3, -4],\n [2, 3, -2, 4],\n [-4, -2, -4, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, -2, 3, -2],\n [0, 3, 3, 3],\n [-2, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, -2, 0],\n [-2, -3, 2, 3],\n [-2, 2, 4, -4],\n [0, 3, -4, 2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 3, 0],\n [0, -3, 1, -4],\n [3, 1, -1, -2],\n [0, -4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7687", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[3, 0, -1, 2],\n [0, -1, -2, 0],\n [-1, -2, 1, 0],\n [2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[4, -2, -2, -2],\n [-2, -2, -2, 2],\n [-2, -2, 3, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 2, -2],\n [2, 4, -2, 0],\n [2, -2, 0, 1],\n [-2, 0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4397", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, 4, -1],\n [3, -4, -2, 2],\n [2, 4, 1, -1],\n [-2, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "861", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, -4],\n [-1, -3, 3, 2],\n [-1, 2, -3, 2],\n [-1, 0, -3, -4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[2, -1, 4, 4],\n [-4, -4, -1, -4],\n [-1, -1, -3, 1],\n [-4, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 4, -2, 0],\n [4, 0, 2, -2],\n [-2, 2, -2, -1],\n [0, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, -4, 3],\n [1, 1, 0, 0],\n [-4, 0, 4, 2],\n [3, 1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6089", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, -1, 0],\n [2, 1, -2, -3],\n [-1, -2, 3, 0],\n [0, -3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -2, 0, -2],\n [-2, -3, 0, -2],\n [0, 0, 1, -3],\n [-2, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8818", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -2, 2],\n [0, -2, 1, -2],\n [-2, 1, 2, 0],\n [2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 0, -1],\n [0, -3, 0, 2],\n [0, 0, 4, 0],\n [-1, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 1, -3],\n [4, 0, 0, -3],\n [-3, 0, 2, 4],\n [2, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7322", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -2, 0],\n [2, -1, 1, -4],\n [-2, 1, 3, 0],\n [0, -4, 0, -1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 4, 1, -2],\n [4, -2, -3, 4],\n [1, -3, 3, 1],\n [-2, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "676", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[2, -4, -2, 2],\n [-4, -1, -4, 0],\n [-2, -4, 0, -1],\n [2, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "324", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-2, 2, -1, 2],\n [4, -2, 0, -2],\n [-2, -1, -3, -3],\n [0, 0, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[2, -3, -2, 1],\n [-3, 2, -2, 4],\n [-2, -2, -1, 0],\n [1, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-584", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, -2, 4],\n [-2, -1, 2, 0],\n [-1, 4, 1, -4],\n [-4, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "740", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 1, 3],\n [0, -3, 3, 2],\n [1, 3, 2, 0],\n [3, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1274", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 2, -1],\n [-1, -1, 0, 2],\n [2, 0, 2, -2],\n [-1, 2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2357", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, -2, 3],\n [-2, -2, 0, -2],\n [-2, 0, -1, 0],\n [3, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "977", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[4, 1, -2, 1],\n [1, 0, 0, -2],\n [-2, 0, -1, 0],\n [1, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 2, -2],\n [3, 3, -3, -1],\n [2, 4, 1, 0],\n [-2, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "460", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, -2, -3],\n [-2, -4, -2, -1],\n [-2, -2, 0, 1],\n [-3, -1, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5097", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-3, 1, 2, -3],\n [1, 4, 0, -1],\n [2, 0, -3, 0],\n [-3, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "422", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 1, -3],\n [2, 0, -4, -1],\n [0, 1, 3, 1],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, 4, -3, 2],\n [1, -2, 4, -1],\n [-3, 3, 4, 3],\n [0, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "310", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -2, 2],\n [-2, 0, 2, 1],\n [-2, 2, 3, 3],\n [2, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3923", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, -4, 3],\n [0, -4, 4, -4],\n [-4, 4, -1, 1],\n [-4, 2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1314", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 3, 0, 0],\n [3, 3, 0, 2],\n [0, 0, -2, 2],\n [0, 2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1921", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, -3],\n [2, -1, 2, -4],\n [-4, -1, -3, -1],\n [4, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5635", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[3, 1, -3, 0],\n [1, 1, -3, -2],\n [-4, -3, 2, 2],\n [-4, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1244", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 2, -2],\n [0, 2, 0, -2],\n [2, 0, 4, -4],\n [-2, -2, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[2, -4, -4, 2],\n [4, 1, -1, 2],\n [-1, -1, 0, 0],\n [-4, -2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 0, -2],\n [-2, 3, 0, 0],\n [0, 0, 2, 0],\n [-2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "472", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, -2, -3],\n [2, -3, 0, 1],\n [-2, 0, -3, -2],\n [-3, 1, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4412", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0, 0],\n [-2, -2, 2, -3],\n [0, 2, 4, 1],\n [0, -3, 1, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 0, 0],\n [-2, 4, -2, -2],\n [0, -2, 2, -1],\n [0, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7090", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, -4, 2, 0],\n [0, 2, 2, 4],\n [2, 0, 4, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[2, 4, -1, 1],\n [4, 3, -2, 0],\n [-1, -2, 1, 2],\n [1, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1049", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, 0, 0, -2],\n [0, -1, 0, 3],\n [0, 0, -1, -2],\n [-2, 3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[2, 4, -3, -2],\n [2, -2, 0, -1],\n [-4, -1, -1, -1],\n [1, 2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -3, -3, -1],\n [-3, -3, -2, -2],\n [-3, -4, 0, -1],\n [-1, 4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-349", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 1],\n [2, 1, 2, 2],\n [0, 2, 0, 1],\n [1, 2, 1, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[4, 3, 0, 0],\n [3, -4, 0, 0],\n [0, 0, -1, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, -2, -4],\n [4, 1, 3, -4],\n [4, -3, -3, 4],\n [1, -4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1890", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 0, 0],\n [2, -1, 2, 1],\n [0, 2, 2, -2],\n [0, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-3, 3, -1, 1],\n [3, -4, 4, 4],\n [-3, -3, -2, -3],\n [-3, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -1, -3],\n [1, 4, -4, 4],\n [-4, -3, -1, 4],\n [-4, 0, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2190", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[4, -3, 1, -1],\n [4, 3, -3, 2],\n [4, 1, 3, 1],\n [2, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, -1, 0],\n [3, 1, -2, 0],\n [2, -4, -2, 4],\n [4, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, -2, -2],\n [2, -3, 1, 2],\n [-2, 1, 0, -3],\n [-2, 2, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13469", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 4, 0, -4],\n [2, -2, 4, 3],\n [-1, -3, -2, 1],\n [3, 3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, -1, -2],\n [0, -2, -1, -3],\n [2, -4, 2, -3],\n [-4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-283", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, 4, 1, -1],\n [0, 3, 3, 3],\n [-3, 4, -3, 4],\n [-4, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, -2, 0],\n [2, 1, -3, -1],\n [-2, -3, 4, 0],\n [0, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 0, 0],\n [0, -3, 1, -2],\n [0, 1, 0, 0],\n [0, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 1, -3],\n [2, 0, 2, 1],\n [-1, 2, -2, 1],\n [-4, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "308", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 4, 4, 1],\n [0, -3, -3, 1],\n [-1, -1, 2, 0],\n [-4, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "462", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 2, 0],\n [3, -3, 0, 2],\n [2, 0, -2, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8062", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, -1, 0],\n [0, 1, -4, -1],\n [4, 3, -3, 4],\n [4, -4, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2126", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, 0, -2, 2],\n [0, 3, 0, 0],\n [-2, 0, 3, -3],\n [2, 0, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[0, -1, 3, 0],\n [-1, 2, -2, 2],\n [3, -2, 0, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, 0, -4, 4],\n [1, 3, -4, 0],\n [4, -1, 2, 1],\n [2, -4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -2, 4],\n [0, -3, 0, -2],\n [-2, 0, -2, -2],\n [4, -2, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7822", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 4, 2],\n [-2, -1, -4, -1],\n [1, 1, -1, -1],\n [0, -2, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 2, -1],\n [0, -2, 0, 0],\n [2, 0, 1, -2],\n [-1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "374", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, -4, 1],\n [3, 1, -2, 4],\n [2, 3, -3, 3],\n [0, -2, 2, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, 2, -2],\n [-1, -2, 4, -3],\n [-3, 0, 1, 0],\n [2, -4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3846", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, 0, 3],\n [-1, -4, 4, 4],\n [-1, -1, 3, 1],\n [4, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2372", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0, -2],\n [0, 2, 0, 3],\n [0, 0, -4, 1],\n [-2, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "799", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, 3, 4],\n [1, 2, -1, 2],\n [1, 4, 2, -1],\n [4, -3, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4705", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -4, -4, -4],\n [0, -4, 1, -3],\n [1, -3, -3, -4],\n [0, -1, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3690", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 4, 0],\n [-3, -1, 4, 2],\n [-3, 2, 4, -1],\n [-3, -4, 4, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -2, 2],\n [-1, 3, -1, -1],\n [-2, -1, -3, 0],\n [2, -1, 0, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 1, 1],\n [4, 1, 1, -1],\n [-2, 0, -4, -3],\n [2, -4, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "682", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, 2, 2],\n [-2, -4, 1, 0],\n [2, 1, -2, 0],\n [2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "795", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2, -1],\n [-4, -4, -4, -4],\n [-2, -2, -1, 1],\n [-3, 2, 2, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 0, -4],\n [2, 4, 3, 1],\n [0, 3, -2, -4],\n [-4, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10017", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -3, 3],\n [-1, 4, -2, 0],\n [-2, 0, -3, 1],\n [-2, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "452", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, -1, 4],\n [4, -4, 2, 2],\n [-2, 4, 4, -2],\n [0, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 4, 1],\n [0, -1, -2, -2],\n [4, -2, 1, 0],\n [1, -2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 1, -4],\n [0, 4, -1, 3],\n [3, 3, -1, -3],\n [-1, 4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, -3, 0, 1],\n [0, 0, -4, 0],\n [2, 1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -4, 2, -1],\n [0, 4, -2, 0],\n [-2, -4, -3, -2],\n [-4, 2, -4, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 4, 0],\n [-1, 0, -2, -1],\n [4, -2, 1, 2],\n [0, -1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, -2, -2],\n [-2, 2, 4, 0],\n [-2, 4, 3, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13938", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, -1, -2, 4],\n [-4, -2, 0, 2],\n [-4, -3, 3, -4],\n [-1, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, -2, -3, 2],\n [-2, 0, 0, 3],\n [-1, 2, 3, -2],\n [-4, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 2, -2],\n [0, -2, 2, 2],\n [2, 2, -4, 2],\n [-2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[0, 0, 2, 4],\n [0, -3, 3, 0],\n [2, 3, 4, -1],\n [4, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 0, -3, -4],\n [-4, -2, -4, 1],\n [-1, -3, -1, 3],\n [0, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[2, 1, -1, 2],\n [1, 2, 0, -2],\n [-1, 0, -1, -2],\n [2, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, -1, -2, 0],\n [-1, 0, -2, -2],\n [-2, -2, -1, -2],\n [0, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -2, 1],\n [0, 4, 0, -2],\n [-2, 0, -3, 2],\n [1, -2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3330", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, -3, 1],\n [-3, 4, 1, 2],\n [4, -3, 0, 0],\n [2, -4, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4464", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 0],\n [0, 4, -1, 2],\n [0, -1, 3, 2],\n [0, 2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "324", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, -3, 0],\n [2, 2, 2, -1],\n [-1, -2, -2, 3],\n [4, 0, 4, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[3, 2, 0, -2],\n [2, 3, -2, -4],\n [0, -2, -2, 2],\n [-2, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1720", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, -4, 3],\n [-4, 2, -1, -1],\n [2, 2, -1, -1],\n [0, 2, -4, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[2, 0, -3, 1],\n [0, 1, 0, 0],\n [-3, 0, -2, 0],\n [1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 4, -3],\n [-2, 2, 0, -3],\n [0, -3, -4, -4],\n [-3, -3, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 2, 0],\n [0, -4, 2, -4],\n [-4, 1, 1, -4],\n [4, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "872", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, 4, -3],\n [3, -3, 1, 4],\n [4, 0, -1, -3],\n [-1, -4, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2400", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -1, 2],\n [1, 3, -2, 4],\n [-1, -2, 3, 1],\n [2, 4, 1, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, 2, 3],\n [3, -3, -2, 3],\n [-4, -2, -2, 2],\n [-4, 0, -4, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, -4, -1],\n [0, -1, -1, 1],\n [1, 4, -3, -1],\n [3, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0, 3],\n [-4, 3, 3, -3],\n [-4, -2, 3, 1],\n [1, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "741", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -3, 1],\n [4, 0, 0, 2],\n [2, 3, -4, 4],\n [3, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, -3, -2],\n [0, 0, 1, -4],\n [-3, 1, 1, 2],\n [-2, -4, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3884", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 3, -1],\n [-2, -4, -4, 1],\n [4, 4, 0, -1],\n [-3, 1, -3, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -1, 4],\n [-1, -1, 3, 0],\n [-3, 3, 2, -3],\n [-4, 0, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, -2, 0],\n [-2, -4, -2, -1],\n [-2, -2, 1, 0],\n [0, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, 2, -4],\n [0, 4, 2, 0],\n [2, 2, 0, 0],\n [-4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4601", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[0, -2, 0, 2],\n [-2, 1, 2, 2],\n [0, 2, 3, 2],\n [2, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-3, 0, 4, 0],\n [0, 2, -2, -1],\n [4, -2, 0, 2],\n [0, -1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, 2, 1],\n [-1, 2, 0, 0],\n [2, 0, -4, 0],\n [1, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 1, 2],\n [0, -2, 2, -2],\n [1, 2, 0, 0],\n [2, -2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1250", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -4, -4],\n [0, -3, -1, -4],\n [-2, 0, 4, -2],\n [1, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1060", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, 2, 2, 2],\n [2, 2, 2, -3],\n [2, 2, 1, 2],\n [2, -3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 0, 3, 0],\n [0, -1, -2, 0],\n [3, -2, -2, -1],\n [0, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 4, 4],\n [-4, 4, 1, 2],\n [2, -2, 3, 3],\n [-3, 3, -3, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 4, 2],\n [4, 0, 1, -1],\n [4, 1, 4, 2],\n [2, 3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "389", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -4, 3, -1],\n [-2, 1, 0, 4],\n [2, 4, 0, 1],\n [-2, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-4, 0, 0, 2],\n [0, 2, 2, -3],\n [0, 2, -3, 0],\n [2, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -4, -3],\n [2, -2, -2, 2],\n [-4, 0, -4, 0],\n [-2, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "948", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 1, 2],\n [-3, -1, 3, -2],\n [2, -2, 3, 0],\n [2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, 2, -1],\n [4, 2, -3, 4],\n [3, 3, -4, 2],\n [-2, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4247", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 0, -2],\n [4, 2, 0, 0],\n [0, 0, 2, -2],\n [-2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "718", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[4, 1, -3, 2],\n [1, 3, 2, 0],\n [-3, 2, 4, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-178", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -1, 2, 0],\n [-1, 4, -3, -4],\n [2, -3, 4, 2],\n [0, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3199", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, -1, 4],\n [2, 3, 0, -2],\n [0, -4, 4, 1],\n [2, 1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 2, 0],\n [0, 0, 0, 1],\n [2, 0, 2, 0],\n [0, 1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "525", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, 4, 2],\n [2, 1, 1, 3],\n [-4, 3, -2, -4],\n [0, 2, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3948", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, -2, 2, -1],\n [-2, -3, 3, 0],\n [2, 3, -1, 1],\n [-1, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, 4, 3],\n [0, 4, 4, 3],\n [-3, -2, -1, 1],\n [1, 4, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1294", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[4, -1, -3, 4],\n [-1, -3, 4, -4],\n [-3, 4, -4, 0],\n [4, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, 2],\n [0, 0, 2, 0],\n [-2, 2, 2, 2],\n [2, 0, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2137", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, 3, 0],\n [-3, 0, 2, -3],\n [3, 3, 4, 1],\n [-1, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3654", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, -4, 4, 0],\n [-4, 1, 0, -1],\n [4, 0, 4, 2],\n [0, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 4, 2, -3],\n [4, 4, -4, 3],\n [-4, 4, -4, 2],\n [-1, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, -2, 0],\n [0, 1, -1, 0],\n [-2, -1, 1, -4],\n [0, 0, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, 4, 4],\n [-2, 4, 1, -2],\n [-2, 1, -1, 3],\n [2, 4, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7966", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 0, -2],\n [-1, -1, 0, -2],\n [0, 0, -2, -2],\n [-2, -2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-849", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 4, -4, 3],\n [0, 0, -4, -4],\n [1, 4, -2, -4],\n [1, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "669", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 3, 2],\n [0, 0, 0, 0],\n [3, 0, 0, 0],\n [2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3454", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2, 0],\n [0, -2, 1, -4],\n [2, 1, -1, 2],\n [0, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "674", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-1, 2, -2, 0],\n [2, 1, -4, -2],\n [-2, -4, 0, 2],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[4, 0, -2, -2],\n [-3, 2, 3, 1],\n [0, -1, 3, -1],\n [-3, -1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 3, 3],\n [3, -2, 0, 3],\n [-1, 3, 1, -2],\n [3, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1783", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 4, -2, 3],\n [0, 4, 4, -3],\n [0, -2, 4, -2],\n [-3, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2760", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 3, 4, 2],\n [2, -2, 4, 2],\n [-2, -4, 2, -3],\n [2, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8941", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0, 4],\n [0, 3, -1, 0],\n [0, -1, 2, 1],\n [4, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2056", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 2, 2],\n [0, 1, 0, 0],\n [2, 0, -1, 1],\n [2, 0, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, -2, -1],\n [4, 1, 1, -4],\n [-3, 2, -3, -1],\n [3, 3, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-438", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, -3, -2, 0],\n [-3, 0, -2, -1],\n [-2, -2, 0, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -4, 2],\n [0, 0, -1, -2],\n [-4, -1, -3, -4],\n [2, -2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7882", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 3, 2],\n [3, 4, -2, -3],\n [1, -2, -3, -1],\n [-2, -4, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1532", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 3, 4],\n [3, -3, -3, 2],\n [-4, 1, -1, 4],\n [-4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1728", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 3, -4, -4],\n [4, 2, 4, -4],\n [-2, 4, 0, 2],\n [0, 3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, -4, -2],\n [-2, -3, 0, -3],\n [-3, 4, -2, -4],\n [-1, -4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-473", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -2, 0, 3],\n [4, -3, -3, 1],\n [4, 3, 2, 2],\n [-3, 0, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1468", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 3, 2, 0],\n [3, -3, -2, 0],\n [2, -2, -4, -2],\n [0, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 4, -4],\n [2, 2, -1, -1],\n [3, -1, 0, 3],\n [3, -4, -4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-297", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-4, 3, -2, -2],\n [3, 0, 1, -2],\n [-1, -1, -4, -3],\n [-4, 3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 0],\n [2, 3, -3, 0],\n [0, -3, -2, 2],\n [0, 0, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2570", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 2, -2],\n [0, -1, 2, 4],\n [2, 2, 4, 0],\n [-2, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5982", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-3, -2, 0, 1],\n [-2, 1, 2, 2],\n [0, 2, -3, -2],\n [1, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, -4, -3],\n [2, -3, 2, -1],\n [-3, -2, -4, 0],\n [1, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-338", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 4, 3, -4],\n [4, 2, 2, 2],\n [1, -1, 1, 3],\n [-1, 4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 2, -2],\n [2, -1, 3, -1],\n [3, 2, 0, 3],\n [-1, -2, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[1, -3, -2, -4],\n [4, -2, 2, 0],\n [4, 1, 0, 0],\n [-2, -3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, 0, -2],\n [-2, 3, -2, 0],\n [0, -2, -4, 0],\n [-2, 0, 0, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, 0, 0, 2],\n [0, -2, 2, 0],\n [0, 2, -3, -4],\n [2, 0, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-296", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-4, 1, -3, -2],\n [-2, 0, 0, -2],\n [-3, -2, 3, 3],\n [-3, 3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "406", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, -3, 2],\n [4, -1, 4, -3],\n [-3, 4, 4, 0],\n [2, -3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25577", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, -4, 0, 2],\n [3, -1, -4, 3],\n [4, -3, -4, -4],\n [-4, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "614", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-2, 4, -3, 1],\n [1, 4, 1, -3],\n [1, -1, 4, 0],\n [-1, -3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -4, 2],\n [2, -2, 2, 0],\n [-4, 2, -1, 2],\n [2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1321", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, 2, 0],\n [4, 4, -2, -2],\n [2, -2, -2, 2],\n [0, -2, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 0],\n [0, -1, 2, 0],\n [2, 2, 3, 0],\n [0, 0, 0, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 0],\n [0, 4, 2, -2],\n [0, 2, 0, -1],\n [0, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0, 0],\n [0, -3, 4, -2],\n [0, 4, 2, 1],\n [0, -2, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[4, 2, 0, 0],\n [2, 0, 0, 0],\n [0, 0, 1, -2],\n [0, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -3, 0],\n [-3, 0, -1, 2],\n [2, -1, 2, 3],\n [1, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "335", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, -4, -1],\n [-1, 3, -1, -1],\n [-1, 4, -4, 3],\n [3, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -2, 0],\n [-2, 1, 2, 0],\n [-2, 2, 2, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "849", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -3, -2],\n [3, 2, 3, 0],\n [4, 1, 4, 1],\n [-2, 3, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "792", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 3, 3],\n [2, -2, -3, -4],\n [4, 3, 0, 3],\n [0, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "806", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 1, 4],\n [0, -4, 4, -3],\n [-2, -2, 2, 0],\n [-3, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "651", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-1, -1, 2, -1],\n [-1, -1, 2, 4],\n [2, 2, 2, -2],\n [-1, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 0, -2],\n [1, 2, 0, -2],\n [0, 0, -2, 0],\n [-2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "383", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, -4, -3],\n [-3, 2, 3, 1],\n [3, 1, 4, -1],\n [-1, 3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "692", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -1, 3, 2],\n [3, 2, -3, 2],\n [0, 3, 2, 3],\n [4, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[0, -3, -1, -2],\n [-2, -2, -2, 4],\n [3, 0, -4, 3],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[3, 2, -3, 4],\n [-1, -4, -3, 1],\n [0, 0, -1, 3],\n [-2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 0, 2],\n [-3, -4, 2, -2],\n [1, 2, 2, 3],\n [4, -4, 0, -3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, -2],\n [-4, 1, -1, 0],\n [1, -1, -1, 1],\n [-1, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 1, 4, 0],\n [-2, 0, 4, -4],\n [-4, 1, 2, -3],\n [4, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 0, -3],\n [0, -1, -4, 3],\n [0, -4, -4, -2],\n [-3, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6077", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, -2, 0],\n [-1, 2, -4, 2],\n [-2, -4, -1, -1],\n [0, 2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2714", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 4, -2],\n [-2, 2, 2, 0],\n [4, 2, 1, -1],\n [-2, 0, -1, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 0, 2],\n [-2, 3, 0, -1],\n [0, 0, 2, -2],\n [2, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "544", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, 3, 0],\n [-1, -2, 4, 1],\n [2, -1, 3, -3],\n [-1, -3, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1127", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, -2, 1],\n [-2, 2, 1, 3],\n [-2, 1, 0, 2],\n [1, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8161", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, 2, -3],\n [-1, -1, -2, 1],\n [2, -2, -1, 0],\n [-3, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[0, -1, -1, -1],\n [-2, 2, 0, -4],\n [0, 4, -3, 4],\n [0, -1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[4, 0, -2, 2],\n [-1, -1, 0, 1],\n [0, -4, 0, 0],\n [0, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 2, 0],\n [0, 0, -4, 1],\n [3, -3, -3, -2],\n [4, 1, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "710", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[0, 0, -2, -1],\n [1, 2, 1, -1],\n [-4, 2, 1, 4],\n [3, -3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 0, -1],\n [2, -1, -4, 0],\n [4, -4, -4, -2],\n [-4, -4, -1, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2, -2],\n [0, 3, 2, 2],\n [-2, 2, 1, 2],\n [-2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5415", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, 2, -4],\n [-2, 1, -3, 0],\n [4, 3, 0, -4],\n [2, -4, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7191", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[2, -4, 2, 3],\n [-3, -1, 2, 2],\n [-4, -2, -2, 4],\n [1, -3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0, 2],\n [1, -2, 2, -1],\n [0, 2, 1, 0],\n [2, -1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 4, -1],\n [-1, 4, -2, 3],\n [3, 0, -4, 2],\n [-2, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[2, -2, 0, -1],\n [-2, 1, -1, 2],\n [0, -1, -4, -2],\n [-1, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 3, 1],\n [3, -2, 3, -4],\n [1, 0, 4, 1],\n [-2, 2, 3, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, 0],\n [0, 2, 0, 1],\n [0, 0, 2, 0],\n [0, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 4, 3],\n [0, 2, -4, 4],\n [-4, -2, 2, 0],\n [3, 4, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10847", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -2, 0],\n [0, -4, 0, 0],\n [-2, 0, -1, 0],\n [0, 0, 0, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 3, -3],\n [0, 2, 0, 0],\n [3, 0, 1, 0],\n [-3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "587", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -4, -2, 4],\n [4, -3, 0, -4],\n [2, 4, 4, 1],\n [3, -1, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3205", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2, 1],\n [-3, -3, -4, -1],\n [1, 2, 0, 2],\n [-1, -1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "358", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 2, 3],\n [2, -1, -2, -3],\n [0, 3, -4, -4],\n [-2, 4, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "385", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-1, 2, -4, -1],\n [2, 1, -2, 0],\n [-4, -2, -1, -2],\n [-1, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[4, 0, 2, 0],\n [0, 0, 2, 2],\n [2, 2, 1, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 3, -3, -1],\n [-3, 1, -1, -3],\n [2, 3, 2, -4],\n [1, 1, -2, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[0, 1, -2, 0],\n [1, -2, -1, 0],\n [-2, -1, 3, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 1, 0],\n [-2, -3, 0, 2],\n [1, 0, -3, -2],\n [0, 2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5475", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, -2, 2],\n [1, 0, -2, 0],\n [-2, -2, -4, -2],\n [2, 0, -2, 4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-3, 0, 0, 0],\n [0, 2, 0, 0],\n [0, 0, 2, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -3, 4, -1],\n [1, 3, -3, 2],\n [-3, -3, -2, 4],\n [-4, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-929", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 3, -3],\n [1, 0, 1, 4],\n [-3, 0, -3, -3],\n [0, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1268", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 4, 1],\n [0, 1, 4, 0],\n [4, 4, 0, 2],\n [1, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1291", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, 2, -2],\n [1, -3, 4, -2],\n [-1, 1, 3, 4],\n [-1, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "972", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, -2, -4],\n [-4, 1, 2, -3],\n [3, -2, -3, -2],\n [4, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1219", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 2, 2, -1],\n [2, -3, -2, 0],\n [2, -2, -2, 2],\n [-1, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4082", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, -3, 2],\n [1, -1, 4, -2],\n [-2, -4, -1, 4],\n [1, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, 3, 0, 2],\n [3, -4, -2, 0],\n [0, -2, -1, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, -4, -1],\n [-4, -2, 0, -2],\n [4, 2, 2, -4],\n [4, 4, -4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1179", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 0, -2, 2],\n [0, 4, 0, 1],\n [-2, 0, -4, 0],\n [2, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -2, 0],\n [0, -3, -3, 3],\n [-3, 4, 4, -3],\n [-2, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "501", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -1, 1, -3],\n [0, 2, 0, 4],\n [-3, 1, 1, -4],\n [1, -1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 3, 0],\n [-1, -3, -3, 2],\n [-1, 1, -4, 1],\n [1, 3, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5994", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-2, 4, 1, 4],\n [2, 4, 2, 1],\n [3, -3, -3, -4],\n [0, 4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, 2, 3],\n [-3, -3, -2, 3],\n [-4, 3, 3, 0],\n [-4, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-444", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 0, -2, 1],\n [0, 0, -2, -1],\n [-2, -2, -4, 2],\n [1, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-386", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 0],\n [2, 0, 2, 0],\n [0, 2, 2, 0],\n [0, 0, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -2, 0],\n [0, 1, -3, 2],\n [-2, -3, -4, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1124", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 4, 4],\n [3, -4, 4, -1],\n [-3, 4, 1, -3],\n [1, -1, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2, -2],\n [-2, -4, 2, -2],\n [-2, 2, 0, 4],\n [-2, -2, 4, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 3, -2, -3],\n [-1, -4, -1, 1],\n [0, 4, 1, -3],\n [-2, -2, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1452", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, 2, 3],\n [2, -4, 2, 2],\n [2, 2, -4, -4],\n [3, 2, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3737", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, -4, -1],\n [0, 1, 0, 0],\n [-4, 0, 0, 2],\n [-1, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3414", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -3, 0, 3],\n [-3, 3, -1, -2],\n [0, -1, 2, -2],\n [3, -2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1177", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-3, 2, 0, -3],\n [-2, 1, 0, 4],\n [2, -1, 4, 2],\n [3, 3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 0, 0],\n [0, 1, -2, -2],\n [0, -2, -4, 0],\n [0, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2201", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2, 4],\n [1, -4, 0, -2],\n [2, 0, -2, 2],\n [4, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 2, 0],\n [4, -4, -3, 2],\n [2, 3, 2, -2],\n [2, -2, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2521", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, 2, 4, 1],\n [2, 4, 1, -2],\n [4, 1, -1, 0],\n [1, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -3, 0],\n [0, 3, 1, -2],\n [-3, 1, -3, 2],\n [0, -2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 4, 1, 0],\n [3, 0, 3, 2],\n [4, 3, 4, -1],\n [-2, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8128", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, 1, -3],\n [-2, -1, -3, -1],\n [-1, 2, -1, 3],\n [-3, 4, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2217", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 2],\n [0, 4, 4, 0],\n [0, 4, -4, -2],\n [2, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3008", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-2, -1, 0, 1],\n [-3, 2, 2, -1],\n [-1, 4, 3, 4],\n [2, 0, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-2, -1, 2, -4],\n [2, 4, -4, -1],\n [3, 2, -4, -3],\n [2, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 3, 0],\n [0, 0, -2, 0],\n [3, -2, 4, -4],\n [0, 0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10605", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-1, 3, -3, -3],\n [4, -4, -2, 2],\n [-3, 2, 0, 3],\n [0, -4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, -2, -1],\n [2, -4, -3, -4],\n [3, 0, 4, -1],\n [-3, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-392", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 4, -4, 1],\n [2, -1, -1, -2],\n [0, -1, -3, -1],\n [-1, -4, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -1, 1],\n [0, 0, 2, 4],\n [-1, 2, 2, -3],\n [1, 4, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4531", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 4, -3, -1],\n [4, 1, -4, 0],\n [4, -4, 0, 2],\n [0, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, -2, 0],\n [-2, 1, -1, 3],\n [2, 2, 1, -1],\n [1, -4, -2, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, -1, -3],\n [-4, 2, -1, -3],\n [3, -3, -3, -4],\n [-2, -4, -4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20860", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 2, 0],\n [2, -4, 0, -1],\n [2, 0, 0, 0],\n [0, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "595", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, -1, 4],\n [4, 3, 4, 1],\n [0, 4, 2, 0],\n [2, -4, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1319", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-3, -3, 4, -3],\n [-3, -4, 4, 3],\n [4, -3, 2, 0],\n [-3, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-913", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, -2, 0],\n [2, 4, 0, -2],\n [-2, 0, 0, -3],\n [0, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0, 2],\n [-2, 2, 0, 0],\n [0, 0, 2, 2],\n [2, 0, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, 2, 0],\n [-2, 2, 2, -2],\n [2, 2, -3, 0],\n [0, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, -1, -2],\n [-1, -4, 0, -1],\n [-1, 0, -1, -2],\n [-2, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "487", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -2, 2],\n [4, -3, 0, -2],\n [3, 4, 4, 2],\n [-3, 3, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "908", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -4, 3, 3],\n [-2, 1, -2, 0],\n [-1, -4, -4, 1],\n [4, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6833", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[3, -4, 1, -4],\n [0, 1, -1, -2],\n [0, -2, 3, -1],\n [4, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, -2, 0, 0],\n [-2, 0, 4, 3],\n [0, 4, -1, 3],\n [0, 3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, 0],\n [-2, 4, 0, 2],\n [0, 0, -4, 0],\n [0, 2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1762", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 1, -1, 2],\n [1, 2, -2, 0],\n [-1, -2, 3, -2],\n [2, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3858", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, 2],\n [4, -3, 4, 0],\n [4, -2, -4, 4],\n [-1, 2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9647", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -2, 0, -1],\n [-2, 2, 2, 2],\n [0, 2, 2, 0],\n [-1, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3458", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -4, 2, 2],\n [4, 4, 3, 1],\n [0, 1, -3, 3],\n [3, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2, 4],\n [2, -1, 1, -4],\n [-2, 1, 1, 2],\n [4, -4, 2, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 0, -1],\n [0, -4, 0, -2],\n [0, 0, -1, 0],\n [-1, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -2, -4, -2],\n [-2, 4, -2, 2],\n [-4, -2, -3, 3],\n [-2, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10641", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 4, 2],\n [-1, 3, -1, -3],\n [4, -1, 3, -2],\n [2, -3, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13668", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, -1, -2],\n [1, 0, -2, 1],\n [-1, -2, -4, 0],\n [-2, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 4, 0],\n [2, 1, 2, -4],\n [3, -3, 2, 1],\n [3, 2, 2, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "777", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 3, 3],\n [-3, -4, 4, -2],\n [-1, -3, 1, -1],\n [-4, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3462", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, -3, -1],\n [4, 1, 2, 1],\n [0, -1, -1, 4],\n [-3, 3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "707", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, -3, 2],\n [4, 4, 4, -4],\n [1, 1, -1, -3],\n [-1, 3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-221", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-1, -2, -4, -2],\n [-1, -3, -3, 1],\n [-1, 4, 1, 4],\n [1, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 1, 0],\n [0, -4, 0, 0],\n [1, 0, -3, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 0, -4, -1],\n [0, 1, 0, -3],\n [-4, 0, 3, 2],\n [-1, -3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4966", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 0],\n [2, -1, -2, 0],\n [0, -2, 3, 0],\n [0, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1203", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -3, 2, 4],\n [-3, -3, -2, 3],\n [2, -2, -4, -2],\n [4, 3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9406", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, -2, -3],\n [0, -3, -4, 1],\n [0, 4, -4, 1],\n [3, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -3, -1, -3],\n [4, 0, 2, 2],\n [4, -4, -4, 2],\n [3, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "810", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, -2, -2],\n [1, 4, 4, 0],\n [-2, 4, 2, -2],\n [-2, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 1, 0],\n [0, -2, 0, 0],\n [1, 0, -3, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -3, 4],\n [1, 0, 3, -4],\n [1, -3, 4, 0],\n [-1, 3, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "874", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, 3, 1],\n [-3, -1, -4, -3],\n [-1, -3, 0, -4],\n [-4, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-344", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 0, 2],\n [4, 3, -1, 0],\n [0, -1, 2, 3],\n [2, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5164", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[3, 2, -4, -3],\n [-2, 4, 0, 0],\n [-1, 4, -2, 3],\n [-2, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 4, 2, 0],\n [4, 2, 1, -2],\n [2, 1, -3, 0],\n [0, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13281", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 4, -2],\n [-4, 3, 0, 4],\n [-4, 0, 2, -3],\n [-3, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3414", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 3, -4, 0],\n [3, 3, 1, 4],\n [4, 3, 2, -2],\n [3, -1, -4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2727", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, 1, 4],\n [4, 3, -3, -3],\n [4, -3, 3, 4],\n [3, -3, -1, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1067", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, -1, -4],\n [2, -3, 2, 2],\n [-1, 2, 3, 4],\n [-4, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 1, -2],\n [-4, -1, 2, 4],\n [0, 2, 0, -3],\n [0, 2, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5218", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[1, -4, 1, 2],\n [-4, -4, 0, 3],\n [1, 0, -1, 1],\n [2, 3, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -1, 3],\n [-1, 3, -4, -1],\n [3, 3, -3, 3],\n [-3, 3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2768", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 1, 2],\n [4, -1, -1, 3],\n [1, -1, 4, -3],\n [2, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5333", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -2, -4],\n [1, -4, -4, -4],\n [2, 2, 4, 2],\n [2, 1, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "329", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 2, -1],\n [0, -4, 2, -2],\n [2, 2, -3, 0],\n [-1, -2, 0, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "822", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[4, 0, 2, 2],\n [0, -3, -1, 4],\n [2, -1, -2, 0],\n [2, 4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 2, -1],\n [2, 0, 0, -1],\n [2, 0, 3, 4],\n [-1, -1, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3269", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, 0, 0],\n [2, -1, 4, 2],\n [0, 4, -3, 2],\n [0, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 0, 2],\n [2, -3, -2, -2],\n [0, -2, -3, -2],\n [2, -2, -2, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "614", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[3, -2, 3, 2],\n [-4, 0, 3, 1],\n [4, 3, -3, -4],\n [2, 3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-326", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[1, -3, 2, -3],\n [-4, 4, 3, -1],\n [-4, 3, 4, 4],\n [4, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, 3, 2],\n [-4, -3, 1, 2],\n [-2, -1, -1, -3],\n [-2, 1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-762", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, -4, 4, 2],\n [0, 4, 0, -4],\n [0, 2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2246", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, -1, -2],\n [-1, 0, 1, 0],\n [-1, 1, 4, -3],\n [-2, 0, -3, 3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, -3, 1],\n [-3, -1, 3, 1],\n [0, 4, -3, -4],\n [-4, -3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "589", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[1, 3, 3, 1],\n [2, -2, 2, 4],\n [2, 4, 0, 1],\n [-2, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "516", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 1, 0],\n [0, 2, 2, 0],\n [1, 2, 2, 2],\n [0, 0, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1606", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 3, 1],\n [-3, 2, 0, -1],\n [4, -2, 1, 4],\n [-4, -1, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -2, 0],\n [4, -3, -3, 3],\n [-3, 4, 3, 1],\n [0, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "757", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -4, 0, 3],\n [-4, 0, 2, -1],\n [0, 2, 0, 0],\n [3, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[2, 0, 0, -2],\n [0, 1, -2, 0],\n [0, -2, -4, 0],\n [-2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -2, -2],\n [0, -4, 2, 1],\n [-2, 2, -3, 2],\n [-2, 1, 2, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-3, -4, -2, -3],\n [-4, 2, 0, 3],\n [-2, 0, 0, -1],\n [-3, 3, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 4, -1],\n [-1, 2, 3, -2],\n [2, 4, -1, 3],\n [-4, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6682", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, 0, -4],\n [-4, -2, 3, 0],\n [-2, -1, -3, 2],\n [2, 1, 3, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-4, 3, 3, 1],\n [4, -4, -3, 0],\n [1, 2, 1, -1],\n [4, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, -3, 0, 2],\n [-3, 1, -4, 0],\n [0, -4, 2, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 2],\n [2, -3, 2, -1],\n [0, 2, 1, -2],\n [2, -1, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, 3, -1],\n [-3, -3, -2, -4],\n [3, -2, 1, -4],\n [-1, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14036", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, 1, -1, -2],\n [1, -2, -1, -4],\n [1, 0, -3, 0],\n [-4, -4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 2, -3],\n [2, 1, 4, -3],\n [2, 1, -3, 1],\n [4, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -1, 1, 0],\n [-1, 1, -2, 0],\n [1, -2, 0, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 1],\n [0, -2, -2, 2],\n [0, -2, -3, -2],\n [1, 2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1155", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-3, -4, -2, -4],\n [1, 0, 1, -1],\n [2, -1, -3, -4],\n [3, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-3, 3, -4, -4],\n [-3, 0, -2, 2],\n [-4, -3, -2, 4],\n [2, 4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-259", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0, 0],\n [0, -4, 0, 0],\n [0, 0, 2, 2],\n [0, 0, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -1, 1, 4],\n [-4, -2, -2, -1],\n [-4, -1, 2, 4],\n [-3, -1, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 2, 0],\n [0, -3, 0, 0],\n [2, 0, 3, -1],\n [0, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 2, 3],\n [1, 2, 4, 4],\n [-1, 2, -3, -3],\n [2, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, -4, 2, 2],\n [-4, 2, -3, 0],\n [2, -3, 4, -2],\n [2, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, -2],\n [0, -1, -3, -2],\n [0, -3, -3, 0],\n [-2, -2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2128", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 0, 2],\n [-2, -3, -4, 4],\n [0, -4, 4, 1],\n [2, 4, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16550", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, 1, -4, -4],\n [-1, 1, 2, 3],\n [2, 0, -1, -1],\n [0, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 3, 2],\n [-3, 3, 2, -4],\n [-4, 1, -1, 1],\n [-1, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 0, 1],\n [2, 4, -1, -1],\n [0, -1, -4, 0],\n [1, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2838", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, -3, -4],\n [0, -1, 3, 2],\n [0, -2, -3, 0],\n [0, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, -4, -2],\n [-4, 4, -2, 0],\n [-4, -2, -1, 2],\n [-2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12182", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 1, 0],\n [2, 3, 0, -2],\n [1, 0, 0, 2],\n [0, -2, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "773", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[2, -2, 4, -1],\n [0, -4, -4, 0],\n [-2, -3, -1, 0],\n [0, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -4, -2],\n [3, 0, -1, -2],\n [-3, -2, 3, -4],\n [3, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 4, -1, 3],\n [4, -1, -2, 0],\n [-1, -2, -4, 2],\n [3, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 0, 1],\n [0, 1, 2, 2],\n [0, 2, -1, -2],\n [1, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "808", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 1, -3],\n [1, 1, 0, -2],\n [4, 2, 3, 4],\n [4, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4044", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 2, 2],\n [3, -3, -3, 3],\n [2, -1, 4, -3],\n [-3, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10650", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 3, 0, 4],\n [3, 3, 1, -3],\n [1, -3, 2, 0],\n [-2, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-528", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -1, 2],\n [0, 3, 4, 1],\n [-1, 4, 0, 3],\n [2, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "990", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[4, -4, -4, 0],\n [-4, 2, 0, 1],\n [-4, 0, 0, 0],\n [0, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-404", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 4, 2],\n [-4, 4, 3, -1],\n [1, -3, 0, -3],\n [1, -1, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "770", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[3, -2, 0, -2],\n [0, -2, -1, -1],\n [1, 4, -2, 3],\n [1, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -2, 3],\n [-1, 0, 2, 2],\n [-1, 4, -2, -3],\n [4, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-476", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -4, -2, -2],\n [-4, 0, -3, 4],\n [-2, -3, -2, -3],\n [-2, 4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1766", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, -2, 4, -3],\n [-1, 4, 3, 4],\n [4, -1, 0, 3],\n [-4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "784", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[3, 0, 1, 0],\n [0, -1, 2, 0],\n [1, 2, -2, 1],\n [0, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 2],\n [0, 4, 2, 1],\n [0, 2, 1, 0],\n [2, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 2, -2],\n [-2, -2, -3, -3],\n [-3, 0, 4, -2],\n [4, 0, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, 3],\n [-2, 4, -2, 1],\n [0, -2, -2, -4],\n [3, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1820", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, -1, 0],\n [-1, 0, -1, -3],\n [4, -1, 1, 3],\n [3, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1711", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, -2, -3],\n [-1, 4, 0, -1],\n [3, 1, -2, 0],\n [1, 3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0, -1],\n [0, 1, 1, 0],\n [0, 1, -3, 3],\n [-1, 0, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "409", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -2, 0, 0],\n [-2, 4, 2, -2],\n [0, 2, 1, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "665", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, -3, 2],\n [1, -3, 1, 2],\n [-3, 1, 2, 0],\n [2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2532", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, -2, 0],\n [-2, -4, 0, 0],\n [-2, 0, 2, 0],\n [0, 0, 0, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 0, 0],\n [1, 4, 0, 0],\n [0, 0, 3, 0],\n [0, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[4, -4, -2, 0],\n [-4, -3, 2, 1],\n [-2, 2, 4, 0],\n [0, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 1, 2],\n [2, 0, 0, -2],\n [1, 0, -3, 0],\n [2, -2, 0, 0]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0, -1],\n [1, -3, -3, -2],\n [0, -3, -2, 2],\n [-1, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-471", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -4, -3],\n [3, -3, 0, -2],\n [-4, -2, 0, 2],\n [2, 1, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-263", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, -4, 3],\n [-1, 4, 0, 2],\n [0, 4, 0, 2],\n [1, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7652", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 0, 2],\n [-1, -1, 0, -2],\n [0, 0, -4, -2],\n [2, -2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-574", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, -2],\n [0, 2, -2, 0],\n [0, -2, -3, 0],\n [-2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 2],\n [-2, 4, -2, 1],\n [0, -2, 2, 0],\n [2, 1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "813", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -3, 2, 3],\n [-3, -2, 1, 0],\n [2, 1, 2, 0],\n [3, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "866", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-1, -1, -2, -2],\n [0, 3, 2, -1],\n [-4, 1, 2, -1],\n [4, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "554", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, -2, 3],\n [2, 3, 0, 2],\n [-2, 0, 0, -1],\n [3, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1194", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 2, -2],\n [-2, -2, -4, 2],\n [2, -4, 1, 3],\n [-2, 2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1095", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, -2, 2],\n [1, 1, 4, -3],\n [-4, 0, -3, 4],\n [3, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -3, 4],\n [0, -1, 4, -2],\n [1, 1, -2, 0],\n [2, -1, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "603", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -3, 0],\n [-1, 0, -1, 3],\n [-3, 0, 4, 0],\n [-3, 4, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, 3, 0],\n [4, -1, -3, 4],\n [-4, -3, -2, -1],\n [3, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1716", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -3, 0, -3],\n [-3, 0, -3, 1],\n [1, 4, -1, 0],\n [-2, -2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, 4, -2],\n [-1, -1, -1, -4],\n [-2, 0, 4, 2],\n [1, 4, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3136", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-2, -2, 4, -1],\n [-3, -2, -3, 0],\n [-3, 2, -3, -1],\n [-1, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-1, -3, 3, -3],\n [-4, -3, -4, 3],\n [-3, 1, -3, 3],\n [0, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, -1],\n [0, -2, 2, -2],\n [2, 2, -1, -2],\n [-1, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -2, 3, 3],\n [0, 2, -2, 1],\n [1, 0, 0, 1],\n [-1, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-2, 1, 1, 2],\n [3, -3, 2, -4],\n [-4, 3, -1, -2],\n [3, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 4, 0, -1],\n [-3, 1, -3, 3],\n [-1, -1, -2, 2],\n [3, 2, 0, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, -1, 0],\n [2, 1, 3, -1],\n [-1, 1, 4, 4],\n [-4, 4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1002", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-3, 0, 0, 0],\n [0, -2, -2, 2],\n [0, -2, 3, 3],\n [0, 2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, -4, -3],\n [-3, 1, -1, 4],\n [-3, -4, -1, -4],\n [0, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7706", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 0, -2],\n [0, -3, -2, -2],\n [0, -2, 4, 0],\n [-2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3519", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-4, -4, -2, 0],\n [-4, 1, 3, -1],\n [-2, 3, 3, 0],\n [0, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, -2, 0],\n [-1, 1, 2, 2],\n [-2, 2, 3, 3],\n [0, 2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1380", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 1, 4],\n [2, -4, 0, 2],\n [2, 4, 3, -2],\n [3, -4, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, -1, 0, 0],\n [-1, 3, 2, 0],\n [0, 2, -4, -2],\n [0, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, -2, -2],\n [4, -1, 4, 3],\n [4, -3, -3, 1],\n [-1, -3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1135", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 4, 3],\n [-2, -2, -2, 3],\n [-1, -2, -4, -3],\n [-4, -3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "716", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-4, 2, 3, 0],\n [2, 3, 2, 2],\n [3, 2, -3, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-1, 1, 2, 3],\n [-3, 2, 4, 4],\n [-1, 1, 1, 1],\n [1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, -2, 0],\n [-2, 2, 2, 0],\n [-2, 2, -3, 1],\n [0, 0, 1, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[4, 4, 0, -1],\n [4, 4, -2, -2],\n [0, -2, 0, -2],\n [-1, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1314", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[1, -1, 1, 0],\n [1, 2, 0, 1],\n [-4, -2, 0, 3],\n [-1, -4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 3, 0, -4],\n [-2, 2, -3, 2],\n [2, -4, 3, -4],\n [0, 3, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7764", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, -1, -2],\n [3, 2, 0, 2],\n [-1, 0, 2, 1],\n [-2, 2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "358", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, -1],\n [0, 2, 0, 0],\n [2, 0, 4, 2],\n [-1, 0, 2, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 0],\n [0, 2, 0, -1],\n [-2, 0, 2, 2],\n [0, -1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1566", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -2, 4, 2],\n [2, 4, 2, 3],\n [3, -4, 4, 4],\n [2, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -2, -1],\n [-2, 4, -4, -1],\n [4, 3, -1, -4],\n [0, -1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-319", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 3, -3],\n [0, 1, -3, 3],\n [-1, -3, 0, 1],\n [0, 2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 1, -1],\n [-1, 0, 2, -3],\n [-3, -2, 4, 4],\n [1, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 2, 3, -1],\n [-2, 2, -2, 1],\n [3, -2, 2, 3],\n [1, -4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 0],\n [0, 4, 0, 1],\n [0, 0, -3, 0],\n [0, 1, 0, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-4, -4, 1, 1],\n [-1, 0, -4, 3],\n [0, -1, -4, 0],\n [3, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-1, 4, 4, 0],\n [3, -1, -2, 2],\n [-2, 1, 1, -3],\n [0, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 3, -1],\n [-2, 4, -3, -2],\n [4, 0, 0, 3],\n [4, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1921", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -2, -1],\n [-1, -1, -3, 2],\n [-2, -3, -2, 2],\n [-1, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1018", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 4, -3, 3],\n [1, -2, 3, 1],\n [-4, -1, 3, -4],\n [0, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3358", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, 0, -1],\n [4, 4, 3, -3],\n [0, 3, -3, 0],\n [-1, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16490", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, 0, 0],\n [-2, -4, 2, 1],\n [0, 2, -2, 0],\n [0, 1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "657", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, 2, 4, -2],\n [-4, 2, 4, 0],\n [2, -1, 3, -3],\n [1, -4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -1, -2],\n [0, -4, -4, 4],\n [-4, -3, 2, -4],\n [-4, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-798", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 1],\n [2, -4, 0, 0],\n [0, 0, 2, 0],\n [1, 0, 0, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 2, -2],\n [1, -1, 4, 4],\n [-2, -1, 3, -2],\n [3, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5267", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, -4, 4],\n [1, 4, 4, 2],\n [4, -3, -3, -3],\n [3, -3, 0, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 1],\n [0, -1, 0, 0],\n [0, 0, 2, -3],\n [1, 0, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "486", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-2, 0, 0, 1],\n [0, -2, -2, 0],\n [0, -2, 1, 0],\n [1, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -1, -1],\n [1, 2, 4, 4],\n [3, -1, 3, -3],\n [4, 2, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3024", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, 3, 3],\n [-4, 3, 4, -3],\n [1, -1, -2, 4],\n [2, 1, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14957", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[0, 0, -2, -1],\n [0, 2, 3, -2],\n [-2, 3, 4, 2],\n [-1, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -4, 0],\n [-4, -1, 4, -1],\n [2, -3, 3, -3],\n [0, -1, 3, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, -2, 1],\n [0, -4, -4, 2],\n [3, -4, -4, -3],\n [-3, -1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-801", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, -2, -1],\n [2, 0, 2, 0],\n [-2, 2, -2, 0],\n [-1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2, -4],\n [4, -3, -3, -3],\n [-4, -2, 3, -2],\n [4, -3, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-266", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, 2, -1],\n [4, -2, 3, 0],\n [2, 3, -4, 2],\n [-1, 0, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "800", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-4, -2, 0, 0],\n [-2, -4, 2, -1],\n [0, 2, 2, 3],\n [0, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-4, 0, 2, 0],\n [0, 0, -4, -3],\n [2, -4, 1, 4],\n [0, -3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 0, -2],\n [3, -1, -4, 2],\n [2, 4, 3, -4],\n [-3, -2, 4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, 1],\n [-2, -4, -2, 0],\n [0, -2, 0, 2],\n [1, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-248", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[0, 2, 2, -4],\n [4, -2, 2, -1],\n [1, 2, 4, -4],\n [-1, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "224", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, -2],\n [0, 0, 0, 1],\n [0, 0, -1, 3],\n [-2, 1, 3, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, -2, 2],\n [0, -2, 0, 0],\n [-2, 0, -1, 0],\n [2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1021", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 2, 2],\n [0, -4, 0, -2],\n [2, 0, 1, 4],\n [2, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1472", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 3, 4, 3],\n [4, 0, 4, 3],\n [1, 1, 0, -2],\n [-4, -1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "555", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -3, -3],\n [0, 0, 1, 4],\n [0, 4, -4, 0],\n [-2, -4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1898", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -1, -3],\n [-2, 4, 4, -1],\n [2, 3, 3, 1],\n [0, 3, 3, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[1, -1, 1, 0],\n [-1, 1, 0, 0],\n [1, 0, -2, -1],\n [0, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 2, 4],\n [3, 4, 1, -1],\n [-4, 1, 4, -4],\n [-1, 4, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[3, 4, -2, 4],\n [-3, -3, -3, -3],\n [3, -4, -1, 0],\n [-2, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "354", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, 2, 3],\n [4, 4, -4, -3],\n [-3, 3, -3, 0],\n [4, 1, -4, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, -1, 0],\n [0, -2, -3, 4],\n [-1, 0, 0, -3],\n [-3, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 1, 0, 1],\n [1, 1, 0, 0],\n [0, 0, 3, -2],\n [1, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, -4, 2],\n [-3, 4, -2, 3],\n [-3, -3, 3, 0],\n [0, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 1, -1],\n [0, 1, 4, 0],\n [1, 4, -1, 4],\n [-1, 0, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "779", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, -2, -1],\n [-4, -4, 2, 2],\n [3, 4, -4, 3],\n [1, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2362", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, -1, 1],\n [2, -1, 2, -4],\n [1, 3, 0, 2],\n [1, 0, 4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2726", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 4, -1, -3],\n [1, 1, 4, -2],\n [2, -3, 0, 2],\n [-3, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, 4, -1],\n [1, 1, 2, 0],\n [-3, -3, 3, 2],\n [-1, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-398", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 4, 2],\n [0, 3, 0, -1],\n [4, 0, -1, 0],\n [2, -1, 0, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-2, 2, 3, 1],\n [2, -3, 0, 0],\n [3, 0, 0, 2],\n [1, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 4, -4, 2],\n [3, 2, 2, 4],\n [-1, -4, 1, -4],\n [2, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1965", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -1, 3, 2],\n [-1, 0, 0, 1],\n [3, 0, 3, 2],\n [2, 1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1378", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, 3, -3, 4],\n [-2, -2, -1, -4],\n [1, 3, -3, 4],\n [0, -2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, 3, 2, 2],\n [4, 2, -2, -1],\n [2, 0, 1, -2],\n [-2, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[3, 2, 3, -2],\n [3, -2, 0, -1],\n [-4, -1, 2, -4],\n [4, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1184", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[1, 1, -2, 0],\n [1, 2, -2, 2],\n [-2, -2, 3, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, -3, 2],\n [-1, -4, -2, 1],\n [1, 0, -4, 3],\n [-3, 4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 0, 2],\n [0, 2, 0, 2],\n [0, 0, -3, 2],\n [2, 2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1677", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, -2, -2],\n [0, 4, 0, 1],\n [-2, 0, -3, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2243", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, -4, 0],\n [2, -3, 2, -3],\n [-1, 0, 4, -1],\n [-4, -3, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5534", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 2, -2],\n [-2, -1, 0, 3],\n [2, 0, 3, 0],\n [-2, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "850", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 2, 2],\n [0, 0, 0, -3],\n [2, 0, 2, 2],\n [2, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 3, 2],\n [0, 0, 2, 2],\n [3, -1, -3, 1],\n [1, -1, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 2, 1],\n [-2, -1, -1, 0],\n [2, -1, 3, -1],\n [1, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "430", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[4, -1, -3, 0],\n [-3, 2, -4, -3],\n [0, 1, 2, 0],\n [-3, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 1, -2, 2],\n [1, -1, 0, 4],\n [3, -4, 2, -3],\n [4, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13067", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-1, 1, 1, -2],\n [3, -2, 1, 0],\n [3, 3, -3, -4],\n [3, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, -2, -1],\n [4, 3, -3, 2],\n [0, -3, -4, 0],\n [-1, -1, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1866", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, 0, -2],\n [0, -2, 0, -2],\n [0, 0, 2, 0],\n [-2, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "729", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 0, 3],\n [1, 1, -2, -4],\n [-3, 3, -2, -4],\n [-1, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "824", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 2, -1, -1],\n [-2, 4, -2, 4],\n [-2, 0, 4, -4],\n [-4, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-500", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -4, 4],\n [-2, 3, 2, 2],\n [2, 0, -3, -1],\n [1, 4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2390", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[0, 2, 1, -4],\n [-4, -1, -1, 1],\n [2, 3, -4, 3],\n [-1, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-3, 2, 3, 3],\n [2, 2, 0, -1],\n [1, -4, 3, -3],\n [-3, -2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[4, -2, -4, -3],\n [3, -4, -1, 1],\n [1, 0, 1, 1],\n [-1, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, -4],\n [4, 0, -2, -1],\n [0, -3, 3, 1],\n [-2, 2, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "548", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -1, 0, 0],\n [-1, 0, -1, 3],\n [0, -1, 4, 0],\n [0, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, 2, -2],\n [0, 3, -1, 2],\n [-3, 0, 3, -3],\n [0, 1, -4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-1, 4, 0, -2],\n [4, 0, 0, -3],\n [0, 0, 3, 4],\n [-2, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "849", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 2, 0, 1],\n [2, 4, 0, -1],\n [0, 0, -4, 0],\n [1, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3180", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, 2, -1],\n [3, 2, 4, 0],\n [2, 4, 1, -2],\n [-1, 0, -2, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, 1, 2],\n [-1, 2, -1, -2],\n [-2, -1, 1, 0],\n [-4, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, -1, 0],\n [1, -4, -3, -4],\n [-1, -3, -3, -1],\n [0, -4, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10506", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -1, 4, 2],\n [1, 3, 3, -1],\n [-2, 3, -2, 2],\n [-2, 3, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "511", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0, 0],\n [-2, 3, 2, 2],\n [0, 2, -1, -2],\n [0, 2, -2, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 4, 0],\n [4, -3, -3, 1],\n [1, 1, 1, 4],\n [2, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "857", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 2, 3],\n [3, -4, -1, 0],\n [-4, -4, 1, -2],\n [4, -4, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-608", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, -4, -4],\n [1, -4, -1, 4],\n [-4, 2, -4, -1],\n [-3, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-474", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 1, 0, 1],\n [1, -2, 1, -2],\n [0, 1, 2, 2],\n [1, -2, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1093", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, 4, -1],\n [0, -3, 0, 0],\n [4, 0, -2, -2],\n [-1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 1, 2],\n [0, 2, -4, -2],\n [1, -4, -4, -2],\n [2, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-691", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, 2, 1],\n [-4, -2, 2, 0],\n [2, 2, 0, -2],\n [1, 0, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1848", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 0, -3],\n [-2, -1, 4, 0],\n [0, 4, 2, 3],\n [-3, 0, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "448", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 0, -1],\n [1, 3, 4, 1],\n [2, -3, -2, 3],\n [4, -2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "670", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 2, 2],\n [2, -2, -1, 1],\n [2, -1, 4, -1],\n [2, 1, -1, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2, 0],\n [4, -2, 3, -3],\n [0, 1, 4, 3],\n [0, -3, -2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0, 2],\n [2, -2, 2, 1],\n [0, 2, 3, -1],\n [2, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -3, -3, 3],\n [-2, 4, 4, 3],\n [-2, 3, -2, -3],\n [4, -1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10955", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, 4, 1, -2],\n [1, -1, 2, 0],\n [3, 3, 1, -1],\n [0, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 3, 4],\n [0, -2, -3, -1],\n [3, -3, 1, 0],\n [4, -1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, -2],\n [0, -4, -2, -3],\n [-2, -2, -3, 0],\n [-2, -3, 0, 4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, -2, 0],\n [-4, 1, 4, -2],\n [-2, 4, -1, -4],\n [0, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-503", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2, 0],\n [0, 0, -1, -3],\n [-2, -1, -2, -2],\n [0, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2474", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[1, -2, -3, -3],\n [0, 2, 4, 2],\n [1, 3, -3, 1],\n [-3, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "370", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -3, -3, -3],\n [-3, -4, 4, -4],\n [-1, -1, -4, -2],\n [-2, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[3, 0, -2, -2],\n [0, -4, 3, -2],\n [-3, -1, -1, 3],\n [0, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 4, 4],\n [-1, -2, 2, 2],\n [4, 3, 4, -2],\n [0, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-4, 3, -2, -3],\n [3, -1, -1, -3],\n [-3, 4, 2, 4],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 4, -2, -1],\n [3, 4, -4, 1],\n [0, 3, 1, 4],\n [4, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3313", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-3, -2, 1, 2],\n [-2, -2, 1, 3],\n [1, 1, 1, -2],\n [2, 3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -2, -1],\n [0, -4, 0, -3],\n [-2, 0, 2, -1],\n [-1, -3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2087", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 1, 3, -2],\n [-2, 4, -2, 1],\n [-4, 4, 4, 0],\n [-3, -3, 3, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-684", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -1, 3, -3],\n [-1, -4, 1, 1],\n [0, 0, 3, 0],\n [1, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1399", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, 0, 1, 0],\n [0, -4, 1, 2],\n [1, 1, -4, -2],\n [0, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[4, 1, 0, -2],\n [1, -2, 3, -1],\n [0, 3, 1, 0],\n [-2, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-2, 2, -2, -4],\n [-1, -3, 0, -4],\n [-3, 4, 0, 2],\n [2, 0, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, -4, 0],\n [-3, 0, 0, -2],\n [-4, 0, -4, 0],\n [0, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7478", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 1, -2],\n [3, 4, 3, -4],\n [-4, 1, 4, 3],\n [2, 3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2198", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 4, 4],\n [-3, 1, -4, -2],\n [-3, 1, -3, -2],\n [4, -1, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -2, 3],\n [0, 1, -3, -1],\n [-3, -3, -1, 0],\n [-1, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2440", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 4, -4],\n [-1, 3, 0, 1],\n [-1, -1, -4, -1],\n [0, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "464", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, 4, 2, -2],\n [4, -3, 0, 0],\n [2, 0, 4, 0],\n [-2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[2, -2, -1, 3],\n [2, 3, 3, -3],\n [1, 1, 0, -1],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, 2, 2],\n [2, 0, 1, -4],\n [1, 3, -3, -1],\n [0, -2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3505", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, -2, 0],\n [1, 2, 4, 1],\n [-2, 4, 2, 1],\n [0, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "418", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -3, 2],\n [-2, 4, 0, -2],\n [4, -1, 3, -2],\n [-4, 3, -3, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 4, 2],\n [-2, -4, -2, -2],\n [4, -2, -1, 0],\n [2, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10446", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, -2, 3],\n [0, -1, -3, 3],\n [4, 0, 4, 0],\n [4, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, -2, -1],\n [-2, 2, -2, 3],\n [-2, -2, -2, 0],\n [-1, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 2, -3, -2],\n [2, 4, 3, 0],\n [-3, 3, 2, -2],\n [-2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, -3, -2],\n [-2, -3, -1, -1],\n [-3, -1, 1, -2],\n [-2, -1, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10572", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, 3, -4],\n [-2, 3, 1, 2],\n [3, 1, -2, -2],\n [-4, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, 0, -1],\n [4, -4, -2, -1],\n [1, 1, 0, 2],\n [3, -4, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "288", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 1, -2, -3],\n [-2, -1, 3, 1],\n [-2, 1, 3, -2],\n [1, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -2, -1],\n [0, -3, -2, -2],\n [-2, -2, -3, -2],\n [-1, -2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9556", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -4, -1, 1],\n [-4, 0, 3, 2],\n [0, -3, 3, -4],\n [-1, 1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-3, -3, 3, -3],\n [2, -1, -1, -2],\n [-3, 4, 1, -4],\n [-2, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 0, 0],\n [1, -2, 1, 2],\n [0, 1, 1, 3],\n [0, 2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3778", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, -1, -1],\n [-2, 2, 2, -1],\n [3, -2, 1, 2],\n [2, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, 2, -2],\n [4, 3, 2, -4],\n [2, 2, 0, 0],\n [-2, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1897", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, 2, 0, 2],\n [2, 1, -4, -3],\n [-1, -2, 2, 4],\n [-3, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-323", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 4, -2, 1],\n [3, -4, -4, -1],\n [0, -4, 3, 1],\n [-4, -1, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1202", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[2, 4, 4, 2],\n [0, 1, -2, 2],\n [3, 2, 1, -4],\n [2, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, -2, 4],\n [2, 2, -2, -1],\n [-2, -2, -2, 2],\n [4, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "351", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, -1, 0],\n [2, -3, 0, -2],\n [-1, 0, -1, 2],\n [0, -2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3185", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, 0, -4],\n [0, 2, -4, -2],\n [-1, -1, -4, -4],\n [-2, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17426", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, -2, -2],\n [-3, 4, -3, 3],\n [4, 1, 3, -1],\n [-3, 2, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5372", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 2, -2],\n [0, 1, 2, 4],\n [2, 2, -3, 0],\n [-2, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "745", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -2, 0],\n [1, -3, -4, 0],\n [-2, -4, -2, 4],\n [0, 0, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2028", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 1, 1],\n [-2, -2, -1, 4],\n [3, 2, 0, 2],\n [2, 0, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "450", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2, -2],\n [0, -3, -2, 2],\n [2, -2, -4, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1026", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 4, 2, 2],\n [4, 3, 0, 0],\n [2, 0, -1, -2],\n [2, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "707", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 4, 0, -4],\n [2, 0, 2, 2],\n [2, 3, 1, -1],\n [1, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "749", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0, -2],\n [0, -3, 0, 2],\n [0, 0, 1, 4],\n [-2, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5454", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 1, 4],\n [-1, -4, 3, 2],\n [-4, 1, 0, -1],\n [-3, -2, 4, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 3, 0, 0],\n [3, -1, -2, 2],\n [0, -2, -4, 4],\n [0, 2, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, 0, 4],\n [-2, 2, 2, -2],\n [-3, -4, -2, -3],\n [2, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, 0, 1, 0],\n [0, 4, 4, 4],\n [-4, -2, -4, 3],\n [-4, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[4, 2, 1, 3],\n [2, 3, 2, -4],\n [1, 2, -1, -2],\n [3, -4, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, 3, -4],\n [3, -3, 1, 2],\n [1, 4, -2, -2],\n [3, -4, 0, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "879", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, 3, -1],\n [3, -3, 4, -4],\n [-1, 0, 1, -3],\n [2, -4, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1837", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[4, -2, 1, 3],\n [-3, 3, 4, -4],\n [-3, -3, 2, -2],\n [0, -3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "504", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, 2, 0],\n [-3, 1, -3, 3],\n [2, -2, 2, 3],\n [0, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 4, 1, -4],\n [4, 4, 1, 4],\n [1, -2, -3, -1],\n [-1, 1, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11752", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, -2, 4],\n [-3, 0, 2, 3],\n [-4, 2, -3, 2],\n [-3, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1199", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[4, 4, 0, 3],\n [4, -2, 0, 2],\n [-2, -4, -1, 2],\n [4, 2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1070", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, 0, -2],\n [-3, -1, 2, 1],\n [-2, -4, -1, 3],\n [4, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9948", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-1, 2, 0, -4],\n [2, 1, 0, -1],\n [0, 0, 0, -2],\n [-4, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "557", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, -2, 2],\n [-3, 4, 2, -2],\n [-2, 2, 3, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1733", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -1, 2],\n [0, -1, -2, 2],\n [-1, -2, -2, 1],\n [2, 2, 1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5649", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -2, 2],\n [0, -4, -3, 0],\n [-2, -3, 1, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "551", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -1, 4],\n [-1, -4, -3, 2],\n [-1, 4, -1, -4],\n [1, -4, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "422", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, -2, 1, 0],\n [-2, -3, 0, 0],\n [1, 0, 3, 2],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[2, -2, -2, 1],\n [-2, 4, 2, 0],\n [-2, 2, -2, 3],\n [1, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 1, -2, 1],\n [1, -2, 1, -2],\n [-2, 1, 1, 2],\n [1, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[0, -2, 2, -2],\n [-2, 3, 3, 0],\n [2, 3, 4, 0],\n [-2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 0, 2],\n [2, -1, 2, -1],\n [0, 2, 0, 0],\n [2, -1, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1210", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, 0, -1],\n [-3, 2, -2, -2],\n [0, -2, -1, -2],\n [-1, -2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-390", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 2, -2],\n [0, -2, 0, -3],\n [2, 0, -3, 2],\n [-2, -3, 2, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -4, -3],\n [3, -3, -2, -4],\n [1, 1, 2, 3],\n [4, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-385", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, 2, -3],\n [-2, 0, -3, -1],\n [-1, 3, 4, 0],\n [-3, 3, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "593", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, -2, 2, 0],\n [-2, -3, 0, -4],\n [2, 0, -4, 1],\n [0, -4, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-862", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-3, -3, -2, -3],\n [0, 0, -4, 3],\n [3, 3, -1, 2],\n [0, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 4, 4],\n [2, -2, 1, 2],\n [4, 1, -1, 0],\n [4, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1407", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, -2, 0],\n [3, -2, -2, -2],\n [-2, -2, 3, 0],\n [0, -2, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "457", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 0, 0],\n [4, -2, 3, 0],\n [-3, -3, -1, 0],\n [-1, -4, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 0],\n [2, 1, 2, 2],\n [2, 2, 3, 0],\n [0, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1240", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 0, -1],\n [-2, -4, 0, -2],\n [0, 0, -4, 0],\n [-1, -2, 0, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "211", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 2, 2],\n [1, 4, 3, 2],\n [-1, -1, 1, 2],\n [-4, -1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, -3, -4],\n [0, -1, 3, -2],\n [-2, 3, -3, 4],\n [0, 3, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 0, 2],\n [-2, 4, 2, 0],\n [0, 2, 4, 2],\n [2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5425", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -4, 4, -1],\n [0, -2, 4, 4],\n [3, -2, 3, -3],\n [-1, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "625", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, -1, 0],\n [0, -2, -2, 3],\n [-1, -2, -4, 0],\n [0, 3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1335", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, -4, 1, -1],\n [-2, 3, 0, -2],\n [3, 3, 2, 3],\n [3, -2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, -2, 4],\n [-2, 1, 2, -2],\n [-2, 2, 4, 2],\n [4, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2086", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 1, 2],\n [-2, -2, 2, 2],\n [1, 2, 2, -2],\n [2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2981", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 1, 3],\n [3, 0, -4, 0],\n [0, -3, 2, 3],\n [-1, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1058", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, -4, -1, 3],\n [-1, 3, 3, -4],\n [-3, -4, -2, -4],\n [1, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-384", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, -4, -2],\n [3, -2, 4, 4],\n [-4, -1, -4, 4],\n [2, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1762", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, -3],\n [-4, 3, 1, -3],\n [3, -4, 2, -1],\n [-3, 3, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "580", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, 0, 3],\n [-1, 2, 1, -1],\n [-4, 4, -1, 4],\n [0, -4, -3, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 1, 4, -2],\n [2, 3, 2, 4],\n [-2, 4, 2, 4],\n [-2, 2, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16259", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[3, -3, -1, 1],\n [-1, 3, -3, 1],\n [1, -3, 0, 3],\n [-1, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -4, -4, -1],\n [-4, 3, 2, -2],\n [3, 4, -3, 1],\n [-4, -1, 4, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-262", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, -1, -1, 0],\n [-1, -2, 4, 1],\n [-1, 4, -2, -2],\n [0, 1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "934", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -3, -4, 3],\n [2, 3, 0, -4],\n [2, 4, -4, -4],\n [-3, 4, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1797", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, 4, 2, 0],\n [1, -4, -1, 3],\n [2, -4, -1, -3],\n [3, 1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 4, 1, 2],\n [1, -3, -3, 2],\n [-1, 4, 0, -2],\n [1, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[2, 1, 2, -3],\n [1, 4, 4, 2],\n [2, 4, -1, 0],\n [-3, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, -2, -2],\n [4, -3, -4, 4],\n [2, 1, -3, 0],\n [1, -1, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1215", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 4, -3, 2],\n [4, 1, 2, 0],\n [-3, 2, 0, 3],\n [2, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1545", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 4, 1, 2],\n [4, -2, -3, -4],\n [3, -4, 4, -3],\n [-3, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -3],\n [1, -3, 1, 2],\n [3, 1, 1, 3],\n [-4, 1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -2, 4],\n [0, -1, -2, -1],\n [-2, -2, -2, -2],\n [4, -1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, 1, -2, -2],\n [1, 0, 0, 1],\n [-2, 0, 0, -2],\n [-2, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -2, 2],\n [0, 3, 0, 2],\n [-2, 0, 3, 0],\n [2, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2330", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, -3, -2],\n [-1, 1, -2, 3],\n [-2, 4, -2, 3],\n [1, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2884", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 0, 1],\n [0, -3, 0, -3],\n [0, 0, 1, 3],\n [1, -3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-3, -2, -3, 2],\n [0, -4, -1, -1],\n [0, -1, -1, 1],\n [-4, -4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "654", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 1, 3],\n [0, 1, -2, 1],\n [1, -4, -3, 2],\n [1, 4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -1, -3, 1],\n [-1, -4, 2, 1],\n [-3, 2, -3, -2],\n [1, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6615", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, 2, 1],\n [0, -2, -2, 2],\n [2, -2, 3, 0],\n [1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2074", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 1, -2, 3],\n [0, -1, 0, 0],\n [2, 3, -2, 1],\n [-3, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 4, 1],\n [0, -2, 1, -4],\n [-1, 3, -4, -1],\n [1, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 1, -2],\n [0, 0, -4, 0],\n [-1, -4, -2, 3],\n [-2, 2, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "658", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, 0, 0],\n [2, 3, -2, 1],\n [0, -2, -2, 0],\n [0, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, 0, 0, 0],\n [0, 4, 4, -1],\n [0, 4, 2, 1],\n [0, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 0, 2, 0],\n [0, -3, -2, 0],\n [2, -2, -4, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 3, 4, -2],\n [-2, -1, -3, 3],\n [3, -2, -3, 2],\n [-1, 4, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, 4, 4],\n [2, 1, -4, -4],\n [0, 0, 4, -4],\n [-1, -3, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4689", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -2, 2],\n [-4, -4, -1, 1],\n [-4, -1, 1, 2],\n [-1, 3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 0, 2],\n [-2, 4, -2, 3],\n [-1, 1, -1, 4],\n [2, 4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "274", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-1, 1, 0, -1],\n [1, 0, -2, 2],\n [0, -2, -3, -4],\n [-1, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 2, 0],\n [1, 1, 0, -2],\n [2, 0, 4, -2],\n [0, -2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, 0, -1],\n [0, -3, 1, 2],\n [-4, 3, 3, -4],\n [3, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "481", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, 3, -1, 0],\n [-2, 3, 4, 1],\n [-3, 0, 2, -3],\n [3, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 2, 2, 0],\n [2, 4, -1, 0],\n [2, -1, 4, -1],\n [0, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1593", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, -1],\n [4, 4, -3, 1],\n [0, -1, -3, 2],\n [2, -1, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "473", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, -2],\n [-2, 2, 0, -2],\n [0, 0, 0, 2],\n [-2, -2, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3069", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, 2, 0],\n [-2, 1, 2, 4],\n [2, 2, 1, -4],\n [0, 4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1348", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[0, -1, 1, 2],\n [1, -2, -3, 4],\n [-2, 1, -2, 3],\n [0, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 3, 2],\n [4, -1, 4, 2],\n [0, 1, 3, 2],\n [-4, -4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, 2, 4],\n [2, -2, 0, 0],\n [1, 4, -3, 1],\n [3, -3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1357", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[0, -4, -4, 3],\n [4, 2, -4, 2],\n [-3, 3, -1, 0],\n [-4, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-3, 3, -2, 1],\n [1, 3, 2, -2],\n [-3, 3, 0, -2],\n [0, 1, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, 4, 0],\n [4, 1, 4, -3],\n [-2, 4, 1, -1],\n [-1, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2, 3],\n [-3, 0, 2, -4],\n [2, 4, -2, -2],\n [3, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -1, -1, -4],\n [-3, 3, 3, -2],\n [4, -3, -2, 3],\n [-3, 3, 1, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 1, 2],\n [1, 3, 0, 1],\n [1, 0, -3, 0],\n [2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "383", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 4, -1, -2],\n [4, -3, -2, 2],\n [-1, -2, 0, 2],\n [-2, 2, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19740", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 1, 2],\n [-2, 4, -3, -1],\n [-2, 2, 1, 4],\n [-3, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2051", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, -1, -2],\n [1, 2, -1, 3],\n [-1, -1, 2, -3],\n [-2, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "994", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 1, 2],\n [2, 3, 0, 2],\n [1, 0, -1, -2],\n [2, 2, -2, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "426", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -4, 2, -3],\n [2, 4, -1, 0],\n [2, -4, 2, 4],\n [3, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 0, 3],\n [-1, 3, -4, 2],\n [-3, -3, 4, 1],\n [-1, -4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 4, 1, -2],\n [2, 1, 4, 4],\n [-4, 4, -2, 4],\n [4, 2, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13067", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 3, 0, 0],\n [-1, -2, -3, -4],\n [-1, -2, -1, -4],\n [0, -4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-762", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 1, 2],\n [1, 3, 2, -3],\n [-2, -1, 1, -2],\n [2, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, -3, -1],\n [-1, 4, 0, -3],\n [-4, 0, -2, 2],\n [-2, 3, -1, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, -2],\n [0, 0, 2, -3],\n [2, 2, -4, 2],\n [-2, -3, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1993", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 1, 3],\n [2, -1, 1, -2],\n [1, 1, 4, 0],\n [3, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10888", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -4, 2],\n [0, 1, -3, 2],\n [-2, 0, -1, 0],\n [3, 4, 4, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "406", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 4, -4],\n [-1, 3, 0, 3],\n [3, 3, -3, -1],\n [-1, 1, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1001", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, -1, 0],\n [2, 4, 0, 2],\n [-1, 0, 3, 0],\n [0, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -1, 1],\n [2, 0, 1, 4],\n [-1, -1, -2, 0],\n [-2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "242", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -4, -3],\n [0, 1, -2, 0],\n [-4, -2, 3, -2],\n [-3, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3927", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, 1, -2],\n [0, 1, 4, 4],\n [3, 1, -4, -2],\n [4, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, 0, -1],\n [-1, -1, -2, -3],\n [-2, 1, 1, 0],\n [-3, -1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -1, 4],\n [0, -1, -4, -1],\n [4, 4, -3, 3],\n [-1, 2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2396", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[3, -1, -1, 2],\n [-1, 1, 2, 2],\n [-1, 2, -4, 0],\n [2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[1, 1, 4, 1],\n [1, -1, 0, 0],\n [4, 0, -4, 1],\n [1, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -1, -2, 1],\n [-1, -1, 0, -2],\n [-2, 0, 2, 1],\n [1, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1430", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 1, -1],\n [0, 0, 0, -2],\n [1, 0, -1, -2],\n [-1, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 1, 0],\n [2, 3, 0, -4],\n [1, 0, 0, 2],\n [0, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1595", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -2, -1, -4],\n [4, 0, -3, 3],\n [-1, -1, 3, 2],\n [-2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-601", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 2, 2],\n [2, -3, 0, -2],\n [2, 0, -3, 2],\n [2, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1481", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, 1, 0],\n [-3, 0, -1, -3],\n [0, 3, 1, 2],\n [-2, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, -3, 4],\n [-2, -3, 0, 0],\n [3, 3, -4, -4],\n [-4, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 1, 1],\n [0, 0, 0, 0],\n [1, 0, -1, 0],\n [1, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, -1, -1, 1],\n [-4, 3, -1, 2],\n [0, 2, -2, -2],\n [4, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -2, -1, -1],\n [-2, 1, -2, -2],\n [-1, -2, -2, 0],\n [-1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4044", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 4, -2],\n [-4, 1, 0, -1],\n [3, -2, -2, -4],\n [3, 0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, -4, 0],\n [-1, -1, 1, -4],\n [2, 1, 0, 0],\n [0, 3, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "465", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, -4, 2],\n [-2, 2, 4, -3],\n [-3, -1, 3, -3],\n [1, 3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-295", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, 0, -4, 3],\n [4, -3, -2, -2],\n [4, -1, -2, -4],\n [2, -2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 4, -2, 1],\n [-2, -2, -3, 2],\n [-1, 4, 1, -3],\n [1, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1067", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 2, 0],\n [0, 1, 0, -2],\n [2, 0, -1, 1],\n [0, -2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "325", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, -3, -4],\n [0, -2, 4, 3],\n [0, -3, 0, -2],\n [-2, -3, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3617", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -3, -2, 2],\n [-3, 3, 1, 2],\n [-2, 1, 1, 1],\n [2, 2, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2751", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, 4, -4, 3],\n [-4, -1, -3, -4],\n [4, -2, -3, 2],\n [3, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1878", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 4, 1],\n [-1, 0, -4, 0],\n [-2, 1, 0, 3],\n [3, 3, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2339", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, 3, 4],\n [1, 1, 4, 3],\n [-3, 0, 3, 1],\n [4, -4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, 4, 0, 0],\n [4, 2, -1, -2],\n [0, -1, 2, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, -3, 1, 0],\n [-3, -4, 1, -3],\n [1, 1, -4, 4],\n [0, -3, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[2, 4, 1, -1],\n [2, 1, 0, -4],\n [-3, -4, 4, 3],\n [-3, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "418", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 3, -1],\n [-4, 3, 0, 0],\n [3, -4, 3, -1],\n [-1, -4, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "506", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, -4, 0],\n [4, 1, -2, 1],\n [3, 1, 3, 0],\n [0, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, -4, -3],\n [-3, -4, 1, -4],\n [2, -3, 2, 2],\n [-2, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "906", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, 3, -4],\n [4, -1, -4, -4],\n [3, -2, 1, 4],\n [0, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -4, -3, 1],\n [3, -4, 0, 0],\n [-2, 2, -3, -1],\n [1, 4, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 2, 0, 3],\n [4, 3, -2, -2],\n [-3, -2, -3, 2],\n [-3, -2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 0, 2],\n [0, -4, 0, 2],\n [0, 0, 0, -2],\n [2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[1, 0, 2, 3],\n [0, -3, -4, 0],\n [-1, 0, -4, 3],\n [-1, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-248", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -4, 0, -2],\n [-3, 1, -2, 0],\n [-4, -2, -1, -2],\n [-2, -4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2247", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, 2, 3],\n [3, -2, -2, -2],\n [2, -2, 1, 0],\n [3, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, -2, 2],\n [4, -2, -4, -2],\n [1, 4, -2, -3],\n [4, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1228", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, 2, 0],\n [2, -1, 0, 0],\n [2, 0, 3, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[2, -2, 2, 4],\n [4, 1, 0, 4],\n [0, 4, -3, 3],\n [-4, -2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, -2, 1],\n [-2, 1, -2, -4],\n [-2, -2, -2, 0],\n [1, -4, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6826", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[3, -2, -1, 2],\n [-2, -1, 2, -2],\n [-1, 2, 0, 0],\n [2, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[2, 0, 1, 1],\n [0, -1, -2, 0],\n [1, -2, 4, 0],\n [1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, -1, -2],\n [3, -1, 1, -1],\n [3, -2, 1, 2],\n [0, -4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, -1, 3],\n [-3, 3, 1, -4],\n [-1, 1, 2, 4],\n [1, 4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5354", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, -2, 4],\n [-3, 1, 1, 2],\n [0, -1, -4, 3],\n [-4, 4, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-680", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, 2, 0],\n [1, -1, 1, 2],\n [2, 1, 0, 0],\n [0, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, -4, 1],\n [-4, -4, 0, -4],\n [-1, -4, -1, -3],\n [-4, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4283", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -4, 0],\n [0, 4, -1, 2],\n [-4, -1, -2, 2],\n [0, 2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-476", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-1, 0, -2, 2],\n [0, 2, 2, -1],\n [-2, 2, 0, 3],\n [2, -1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, 2, -1],\n [1, -1, 1, 4],\n [-3, 2, 2, 4],\n [4, 3, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21133", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -2, 2],\n [0, -1, 2, 4],\n [3, 1, -4, -1],\n [2, 4, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5008", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, 1, 0],\n [0, 3, 0, 2],\n [1, 0, 4, 2],\n [0, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2186", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, 2, 0, 0],\n [2, 4, 0, -2],\n [0, 0, -4, -1],\n [0, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, 4, 2],\n [-2, 2, 0, -4],\n [4, 0, 0, 2],\n [2, -4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17346", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-3, -2, 4, 3],\n [3, 0, 4, -1],\n [-1, -1, 4, -4],\n [1, -1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, -1, -1],\n [3, 4, 3, -4],\n [3, 2, 4, -3],\n [-3, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 0, 1],\n [-2, -4, 3, 3],\n [1, -1, 1, 1],\n [-1, 3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, 3, 1],\n [-1, -4, 0, 3],\n [3, 0, 2, 2],\n [1, 3, 2, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 2, 0, 2],\n [2, 4, 2, 1],\n [0, 2, -4, 0],\n [2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3630", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 4, -1],\n [1, 1, 0, 0],\n [1, -4, -1, 2],\n [4, -3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 2, 0, -4],\n [0, 3, -3, 1],\n [4, -4, -1, 2],\n [1, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 2, -2],\n [2, -2, -2, 1],\n [2, -2, -4, 1],\n [-2, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1230", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, 3, -2],\n [-3, 0, 2, 3],\n [3, 2, -2, 2],\n [-2, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2026", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -1, 3, -2],\n [-4, 2, 1, 4],\n [1, 4, -3, 4],\n [-1, 1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13013", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 0, -1],\n [-2, 1, 0, -1],\n [0, 0, 3, -2],\n [-1, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -4, -2],\n [-2, -2, -3, 2],\n [-4, -3, 2, -3],\n [-2, 2, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7402", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[2, -2, 0, 1],\n [-2, -4, 0, -1],\n [0, 0, -4, 0],\n [1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, 2, 1],\n [-1, 4, -2, 4],\n [2, -2, -2, 0],\n [1, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, 1, -1],\n [1, -1, 0, 0],\n [1, 0, 3, 0],\n [-1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, -1],\n [0, -2, -2, 1],\n [0, -2, 3, 2],\n [-1, 1, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -4, -4, 0],\n [-4, -4, 2, -1],\n [-4, 2, -3, 0],\n [0, -1, 0, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, -2],\n [0, -3, -2, 0],\n [-2, -2, -2, -2],\n [-2, 0, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12517", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, -3, -4],\n [-1, -3, 3, 4],\n [4, -1, -2, -2],\n [4, -1, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "571", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 3, -3, -1],\n [3, 3, 2, -1],\n [0, -2, -2, -2],\n [-3, 1, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "728", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, -4, 0],\n [3, 1, -2, -3],\n [3, 1, -2, -3],\n [-1, -4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[3, 0, 0, 2],\n [0, -3, 1, 2],\n [0, 1, 0, -2],\n [2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 4, -1, 1],\n [4, 1, 2, 2],\n [-1, 2, 1, 0],\n [1, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "580", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -1, 1, 2],\n [-1, 0, 2, -4],\n [1, 2, -2, 1],\n [2, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "723", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[2, -1, -2, -1],\n [-1, -3, 1, -2],\n [-1, 1, 1, 0],\n [-4, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, 2, -4],\n [-4, -1, 1, 0],\n [2, -4, 0, -2],\n [0, 1, 1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -3, -1, 3],\n [-3, -3, 4, -2],\n [-1, -2, -2, 3],\n [-3, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "971", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[4, -3, 2, 3],\n [1, -4, 1, 4],\n [3, 3, 3, -1],\n [3, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, -3, -3],\n [4, 0, -4, -1],\n [-2, 0, -4, -1],\n [-1, -4, 2, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -2, 3],\n [-2, -1, 4, -1],\n [0, -1, 3, 4],\n [-3, 1, -2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-2, -4, 0, 2],\n [-4, -1, 2, -1],\n [0, 2, -4, 0],\n [2, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-374", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1, -3],\n [2, 1, 2, -4],\n [1, 2, 4, 0],\n [-3, -4, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[0, 1, -1, 3],\n [4, -2, -3, -3],\n [-2, 2, 2, -3],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2, -4],\n [-1, -3, -1, 4],\n [-1, -1, -2, -4],\n [-2, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-827", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, -2, 3],\n [2, 2, -2, 3],\n [-2, -2, 2, 0],\n [3, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8172", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, -2, -3, 2],\n [-1, 4, 1, 1],\n [0, 3, -2, 3],\n [-4, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -4, -2, 0],\n [-4, -4, 1, -2],\n [-2, 1, 2, 2],\n [0, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10287", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -1, -2],\n [-3, 4, -2, 3],\n [-4, -2, 4, 0],\n [4, 4, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 1, 2],\n [0, -3, -1, 1],\n [1, -1, -3, 2],\n [2, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "944", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, 2, 0],\n [1, 2, -1, 0],\n [2, -1, -1, 2],\n [0, 0, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "450", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -4, 0, 2],\n [-3, -1, 3, 3],\n [-2, -4, -4, 0],\n [-3, 1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 0, -1],\n [2, -1, 2, 2],\n [0, 2, 0, 4],\n [-1, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 4, 1],\n [-4, -2, -3, -1],\n [-2, 2, 3, 2],\n [-1, -3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, -1],\n [1, -1, 2, 1],\n [2, 4, -4, 0],\n [0, 4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 3, 2, -1],\n [2, -2, 2, 1],\n [-3, 4, 1, 3],\n [-1, 1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2417", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 4, -1],\n [-3, -3, 1, 4],\n [2, -3, 4, 0],\n [-1, 1, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3703", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, -1],\n [0, 2, 1, 0],\n [0, 1, -4, 0],\n [-1, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-3, 0, -4, 0],\n [0, -2, 4, 0],\n [-4, 4, -3, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1604", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, -2, -3],\n [1, -4, -1, 4],\n [3, 4, 3, -2],\n [-4, 1, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, -2, -4],\n [1, -4, 1, -2],\n [1, 1, 1, 3],\n [4, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "471", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 3, -1],\n [2, 2, 3, -2],\n [3, 3, 0, 0],\n [-1, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1774", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, 0, 1],\n [3, 0, -1, 3],\n [2, 2, 3, 0],\n [-4, 4, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -1, -2, 1],\n [-2, -1, -2, 1],\n [-2, -3, -3, 4],\n [-4, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2652", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-4, 4, 0, -3],\n [4, 0, 4, 0],\n [0, 4, -1, 0],\n [-3, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1, 0],\n [2, 1, -4, 0],\n [1, -4, -1, 0],\n [0, 0, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "353", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 4, 4, 3],\n [2, 0, -3, -4],\n [4, -3, 0, 3],\n [-2, -1, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2534", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -4, -3, -4],\n [1, -4, -2, -1],\n [3, -1, 1, -3],\n [2, 1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "494", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, 0, -1, -2],\n [0, 4, 1, -4],\n [-1, 1, -1, 0],\n [-2, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -2, -3],\n [-2, -1, -2, 2],\n [-2, -2, 0, -2],\n [-3, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4287", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-2, -4, -3, 0],\n [1, -4, 1, -3],\n [3, 1, -4, -1],\n [3, 3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, -2, 2],\n [4, -3, -4, 1],\n [0, 2, -4, 1],\n [-4, 2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -1, 4],\n [-3, 3, -1, 4],\n [-3, -4, 3, -2],\n [1, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10198", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, 4, 4],\n [0, -3, 4, -2],\n [-2, -1, -2, 0],\n [3, 4, -1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "419", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -3, 4],\n [-3, -1, 0, 0],\n [-3, -2, -1, -4],\n [-4, 0, 1, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, -4],\n [0, -1, 2, 0],\n [2, 2, 4, -2],\n [-4, 0, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14970", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 0],\n [0, -4, 1, 2],\n [0, 1, -1, 1],\n [0, 2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, -2, -2],\n [-2, 0, 0, 0],\n [-2, 0, -3, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5986", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, -3, -4],\n [0, 0, -4, -3],\n [1, 2, 4, 2],\n [4, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 4, 3, 0],\n [1, 2, 1, -1],\n [1, 1, 3, -4],\n [-3, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3735", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -3, 0, -4],\n [1, 4, 1, 4],\n [-2, 0, 2, -2],\n [1, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, 2, 0],\n [-3, 4, 1, 2],\n [2, 1, -3, 2],\n [0, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1050", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, 0, 1],\n [-3, 3, -2, 0],\n [0, -2, -1, 2],\n [1, 0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, 2],\n [-2, -3, 2, -4],\n [2, 2, 0, -1],\n [2, -4, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-474", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 0, -3],\n [-2, 3, 3, -3],\n [0, 3, -4, -2],\n [2, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-656", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 1, 0],\n [-2, 1, -2, 0],\n [1, -2, -4, 2],\n [0, 0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -2, 0],\n [0, 1, -2, 3],\n [-2, -2, -2, 2],\n [0, 3, 2, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, -1, 4],\n [2, -3, 4, 2],\n [3, 4, -3, 1],\n [0, -2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1106", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, 3, 3],\n [4, 2, 0, -3],\n [-2, 2, 1, -2],\n [-4, -2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1403", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, 2],\n [2, 3, 0, 0],\n [0, 0, -1, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1703", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -1, 2, -2],\n [-2, 2, 2, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, 0, 0, 2],\n [0, 0, 4, 1],\n [0, 2, 1, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, -4, -1, -4],\n [4, -2, 0, -3],\n [3, 3, 2, 0],\n [3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, -2, 4, -4],\n [1, 4, -3, 4],\n [2, -4, 3, -2],\n [2, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1851", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0, 1],\n [0, 4, -2, 3],\n [0, -2, -1, -2],\n [1, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "805", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[4, -1, 1, 3],\n [-2, -3, 1, 4],\n [-4, 4, 1, -1],\n [4, -1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, 2],\n [2, -1, 1, 0],\n [0, 1, -2, 2],\n [2, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "520", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -1, 0],\n [2, -2, -2, 0],\n [-1, -2, -1, -1],\n [0, 0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "322", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 0, 0],\n [-1, 0, -1, -2],\n [0, -1, -1, 0],\n [0, -2, 0, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -3, -3],\n [0, 3, 1, -2],\n [-2, -3, -4, -4],\n [4, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9561", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, -4, 4],\n [4, 1, 1, -2],\n [4, -2, 1, -1],\n [4, -3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3888", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 4, 2],\n [0, -4, 2, -1],\n [4, 2, -2, 0],\n [2, -1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1215", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-2, -1, 1, 0],\n [-1, 1, 0, 3],\n [1, 0, 0, 2],\n [0, 3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 4, 0],\n [-4, 2, 2, -2],\n [0, -3, -1, 1],\n [-4, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1281", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 0, 0],\n [0, -3, -2, 0],\n [0, -2, -1, 2],\n [0, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "464", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 1, 1],\n [1, -3, -2, 2],\n [1, -2, -4, -2],\n [1, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, 1, -2, -3],\n [0, 4, -4, -1],\n [2, 1, 2, 3],\n [-1, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 3, -4],\n [1, 1, -2, -1],\n [-1, 3, 0, -4],\n [0, -3, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, -4, 3, -3],\n [4, -4, -3, -1],\n [0, 0, 3, 2],\n [2, 4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-271", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, -4, 2],\n [0, -3, 0, 0],\n [-2, -1, 2, 4],\n [1, 1, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 2, 0],\n [-1, 4, -2, -1],\n [2, -2, -2, 0],\n [0, -1, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "588", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -2, 2, 0],\n [-2, -4, -4, -2],\n [2, -4, 3, -2],\n [0, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10810", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, 0, -4, 0],\n [0, -3, 0, 0],\n [-4, 0, -2, -1],\n [0, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 1, 2],\n [2, -3, 0, 2],\n [1, 0, 4, 0],\n [2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "707", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 2, -4],\n [0, 2, 2, -1],\n [1, 4, -1, -2],\n [-2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, -3, -4],\n [0, 0, 1, -3],\n [-1, 3, 1, 0],\n [-1, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, -2, 1],\n [-1, 3, 0, 4],\n [-2, 0, 4, 0],\n [1, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "448", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[2, -2, -4, 2],\n [-2, -2, 0, 0],\n [-4, 0, 1, 2],\n [2, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-224", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 0, -2],\n [0, -3, 0, 2],\n [0, 0, -4, -2],\n [-2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4517", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 0, 2],\n [0, -2, 2, 0],\n [0, 2, 4, 2],\n [2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "536", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, -2],\n [-2, -4, 0, 0],\n [0, 0, -3, 0],\n [-2, 0, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "650", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, -4, 0],\n [-1, 4, 3, -3],\n [-4, 1, -3, 4],\n [0, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 4, 0, -2],\n [4, 3, 0, 1],\n [-2, 4, 1, -3],\n [-4, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "763", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 1, -1],\n [2, 0, 2, -1],\n [1, 2, -2, 0],\n [-1, -1, 0, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 3, 3],\n [-4, 2, 2, -2],\n [1, -2, -2, 0],\n [0, 3, 4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1093", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -3, 2],\n [2, 0, -2, -1],\n [-3, -2, -3, -2],\n [2, -1, -2, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 2, 2],\n [0, -3, -2, -2],\n [2, -2, -1, 0],\n [2, -2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-427", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, -3, 2],\n [1, 3, 1, 0],\n [-1, 2, -2, 3],\n [-3, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 2],\n [0, 2, 0, -1],\n [0, 0, -4, 2],\n [2, -1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -2, 3, 2],\n [-2, 0, 0, -2],\n [3, 0, -4, -2],\n [2, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-209", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -2, -2],\n [-3, -2, 3, 3],\n [-1, -1, 0, 1],\n [3, -4, 1, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, 1, 2],\n [4, -3, -1, 2],\n [1, -1, -4, -3],\n [2, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8524", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -2, -2],\n [2, 3, -1, 1],\n [-2, -1, 2, 0],\n [-2, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6719", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, -3, -2],\n [-4, 3, 0, -4],\n [0, -2, 1, -1],\n [0, 3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4130", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -3, 0],\n [0, -4, -1, 1],\n [-3, -1, -3, -2],\n [0, 1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2854", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-1, 2, -3, -3],\n [2, -1, 0, 0],\n [-3, 0, 4, 0],\n [-3, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "823", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -4, 1],\n [-3, -1, 0, -2],\n [-3, 2, 2, 3],\n [2, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6092", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -2, 3],\n [0, 0, 3, 1],\n [-4, -2, 3, -4],\n [2, 4, 0, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, 0, 3],\n [-3, -3, -2, 1],\n [0, -2, -1, 0],\n [3, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "838", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, 0, 1],\n [2, 3, 0, 0],\n [0, 0, 2, -1],\n [1, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1575", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 2, 3],\n [3, -1, 2, -3],\n [4, 4, 2, -2],\n [-4, -1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "481", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 0, -1],\n [2, 1, 0, -1],\n [0, 0, 0, 0],\n [-1, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "359", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[0, 0, 0, -2],\n [0, -1, 2, 1],\n [0, 2, -3, 0],\n [-2, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 3, 0, -1],\n [-3, -4, -1, -3],\n [-2, -3, -4, 4],\n [-4, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9693", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, -3, -4],\n [2, 0, 1, -1],\n [-4, 3, 0, -1],\n [2, -4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "532", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -3, 3, 1],\n [-3, -3, 1, 3],\n [3, 1, -1, -2],\n [1, 3, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23325", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, 3, 2],\n [-4, 1, 0, -1],\n [3, 0, 0, -3],\n [2, -1, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1604", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, 3],\n [-3, 1, 2, 1],\n [3, 0, -1, 2],\n [2, -1, -3, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-4, -2, -4, 0],\n [-2, 2, -2, 3],\n [-4, -2, -4, -4],\n [0, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "914", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[3, 4, 2, 3],\n [3, -3, 3, 1],\n [2, -4, 3, 3],\n [-4, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 0, -2],\n [2, -2, 1, 3],\n [0, 1, 0, -1],\n [-2, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, -1, 0],\n [0, 0, -1, 2],\n [-1, -1, 4, -2],\n [0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -1, -1],\n [0, 4, -2, 2],\n [-1, -2, -3, -2],\n [-1, 2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3181", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[0, -4, -2, -3],\n [-4, 0, 1, 0],\n [-1, 4, -3, 0],\n [-4, 1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -4, -4, 2],\n [-2, -4, 1, 2],\n [0, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-324", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[2, 0, 0, 2],\n [0, -3, 0, 1],\n [0, 0, -4, -2],\n [2, 1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, -3, -2],\n [1, -3, -2, 2],\n [-3, -2, 4, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "838", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -3, 1, -4],\n [-2, 3, 4, -1],\n [1, 3, -2, -4],\n [0, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "463", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-4, -2, 2, 0],\n [-2, 0, 1, -3],\n [2, 1, -1, 2],\n [0, -3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-414", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -4, -2],\n [0, 1, 3, -2],\n [-4, 3, 3, 0],\n [-2, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 2, 0, 1],\n [2, -4, -2, -2],\n [0, -2, -3, 1],\n [1, -2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5933", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, 1, -4],\n [-2, 1, 2, -1],\n [1, 2, 1, 0],\n [-4, -1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "605", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 3, 2],\n [1, 1, 1, -3],\n [3, 1, 3, 0],\n [2, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6924", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, -2, 1],\n [-3, 4, -2, -1],\n [-2, 0, 2, 0],\n [1, -4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, 0, 2, 2],\n [4, 0, -1, -3],\n [0, 1, 3, 4],\n [0, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -2, -1],\n [-2, 3, -3, 2],\n [-2, -3, -2, -4],\n [-1, 2, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-318", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -3, -1],\n [4, 1, 2, 3],\n [1, 4, 2, 1],\n [-4, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2036", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, -3, -3],\n [-4, 3, -2, 2],\n [4, 0, -2, 3],\n [-1, 1, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 0, 2],\n [2, 4, 0, 2],\n [0, 0, -2, 0],\n [2, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6586", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -2, 2],\n [0, -3, 3, -2],\n [-2, 3, -2, 2],\n [2, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1567", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[4, 3, 2, 2],\n [3, 4, -3, 1],\n [-3, -1, 0, 0],\n [1, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -4, -3],\n [1, -4, 3, 3],\n [4, 3, -3, -4],\n [0, 4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 1, -2],\n [-2, -1, -2, 2],\n [1, -2, 2, 0],\n [-2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -4, -4, 4],\n [0, -1, 4, 0],\n [0, 0, 1, 4],\n [-1, -1, -2, 0]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, -4, -2],\n [0, -3, -1, 0],\n [3, 1, 4, -1],\n [0, -4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-224", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 2, 0],\n [-2, 4, 4, 0],\n [2, 4, 2, 0],\n [0, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6330", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 0, 0],\n [2, 2, 0, 0],\n [0, 0, 1, -1],\n [0, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[4, -3, -2, 1],\n [0, 0, -1, -3],\n [-2, -2, 2, 2],\n [4, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, -3, 3],\n [-1, -2, 2, -2],\n [-3, 2, -2, 0],\n [3, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 0],\n [-2, -3, 0, -1],\n [2, 0, -2, 2],\n [0, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "565", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -4, -2],\n [4, -2, 1, -4],\n [2, 2, -4, -4],\n [2, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "651", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -3, -3, -2],\n [-1, -2, -2, 1],\n [0, -1, -1, 3],\n [0, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "696", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, 1],\n [2, 2, 2, 1],\n [0, 2, 4, 2],\n [1, 1, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6324", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 1, 4],\n [1, 3, 3, 1],\n [1, -4, 2, 2],\n [1, -1, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, -1, -4],\n [1, -4, 2, -2],\n [-1, 4, -1, -3],\n [1, 4, 2, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "782", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, -4, 0, 1],\n [-3, 1, 0, 2],\n [-4, -1, 2, -2],\n [-2, -1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-207", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, 3, -3],\n [-4, 2, 2, 1],\n [3, 1, -1, 0],\n [4, 4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 2, 4],\n [0, 4, 2, 0],\n [2, 2, -4, 2],\n [4, 0, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6237", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 2, 1],\n [3, 3, -2, -4],\n [2, -2, 3, 1],\n [1, -4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[3, 2, 3, 3],\n [2, -1, 2, 2],\n [3, 2, 2, 4],\n [3, 2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 2, -4],\n [0, 0, 0, -1],\n [2, 0, 2, 0],\n [-4, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "349", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, -4, 3],\n [2, 4, 4, 0],\n [2, 4, 0, 3],\n [2, 3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7301", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, -3, -2],\n [1, 3, 2, 0],\n [-3, 2, 1, -4],\n [-2, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8833", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, -2, -2],\n [-2, 3, 4, 2],\n [-2, 4, 1, 0],\n [-2, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4799", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, 0, 0],\n [1, 3, 0, 3],\n [0, 0, -1, 1],\n [0, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4890", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 4, 4],\n [4, -4, -1, 0],\n [-1, 0, 2, 0],\n [0, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2218", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 0, -2],\n [-2, 1, 3, 2],\n [0, 3, -1, 2],\n [-2, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, 0, -3],\n [-2, 4, -2, 4],\n [4, 1, 1, 0],\n [2, 4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -4, -4],\n [-2, -1, -2, 1],\n [-2, -2, -3, 0],\n [-2, 4, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7131", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 3, 0],\n [2, 0, -2, 0],\n [4, -3, 4, 3],\n [-1, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, 2, 1],\n [-1, 3, -4, -1],\n [0, -1, -2, 0],\n [-2, -2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "600", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 2, -4, -4],\n [-3, 0, -1, -4],\n [4, -4, 0, 4],\n [3, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "873", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -1, 1],\n [0, 4, 4, 2],\n [2, 2, 1, -4],\n [-4, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "975", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, -3],\n [2, 3, -2, -3],\n [-3, -1, 0, 1],\n [-4, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, 4, -1],\n [-1, -4, 3, -1],\n [-1, -3, 4, -2],\n [4, 3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 4, -2],\n [1, 2, 0, 0],\n [4, 0, -4, -2],\n [-2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, -4, 1, -2],\n [-3, -4, 2, -1],\n [-4, -2, 0, -3],\n [-3, 4, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1020", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 2, 4],\n [2, 3, 2, 0],\n [2, 2, 3, 1],\n [4, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2133", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, 0, -2],\n [-1, -1, -2, 1],\n [0, -3, 1, -3],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2268", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, -2],\n [0, -3, 2, 2],\n [-2, 2, -1, 1],\n [-2, 2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 3, 2],\n [-2, -3, 2, 0],\n [3, 2, -1, 1],\n [2, 0, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "852", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, -2, 1, 2],\n [3, 1, 0, 3],\n [-1, 3, -3, 0],\n [-2, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, -2, 2],\n [-1, 0, 4, -3],\n [-2, 4, 1, -1],\n [2, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -3, 1],\n [3, 0, -1, 3],\n [-1, -3, 0, 4],\n [2, 3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1460", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-4, 4, 3, -3],\n [-2, 3, 4, -3],\n [-1, 4, 0, -3],\n [-4, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 0, -1],\n [-4, -1, 0, -1],\n [1, 0, -1, 3],\n [0, 4, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -3, 2],\n [0, 4, -1, 1],\n [-3, -4, -1, 4],\n [-3, -4, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1064", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -4, -3, 0],\n [2, 2, 4, -4],\n [-1, 2, 3, -2],\n [-3, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "874", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[3, -4, 3, 1],\n [-4, -1, 0, -3],\n [3, 0, -2, 0],\n [1, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -1, -3],\n [-1, -3, -1, 0],\n [2, 1, -2, -1],\n [3, 2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1, 2],\n [-2, 0, 3, 2],\n [-1, 3, 0, -2],\n [2, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, -3],\n [0, 4, 0, -2],\n [0, 0, 1, 4],\n [-3, -2, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7846", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 0, -2, 2],\n [0, 2, -1, -2],\n [-2, -1, 3, -2],\n [2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 1, 4, 1],\n [4, 3, -1, 1],\n [0, -1, -2, 3],\n [1, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 3, 0],\n [0, 2, 0, 0],\n [3, 0, 4, 1],\n [0, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3205", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, -3, -3],\n [4, 3, -2, 3],\n [-3, 1, -3, -3],\n [4, 0, -1, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 0, 0],\n [3, 4, 0, -3],\n [0, 0, 4, -2],\n [0, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2092", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 4, 2],\n [-2, 3, 0, -1],\n [4, 0, -3, -2],\n [2, -1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, -2, 3],\n [2, 2, 2, 0],\n [-2, 2, -2, 0],\n [3, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1002", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, 0, -4],\n [3, -2, 2, 4],\n [-1, 4, -1, -2],\n [1, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "541", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -2, 2],\n [0, -3, 0, 1],\n [-2, 0, -1, -2],\n [2, 1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "534", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 2, 1],\n [-2, -1, -4, 1],\n [2, -4, -2, 2],\n [1, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1702", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 0, -2],\n [2, -4, 0, -1],\n [0, 0, -1, 2],\n [-2, -1, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, -3, 0, 2],\n [-3, -1, -4, -2],\n [0, -4, 0, 0],\n [2, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 2, -2],\n [0, 3, 2, -2],\n [2, 2, 4, 0],\n [-2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 4, 3, 4],\n [-1, 1, -1, 2],\n [3, -2, -1, -3],\n [0, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2739", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-4, -2, 3, 1],\n [3, -1, -4, 1],\n [-3, -2, -3, 2],\n [-3, -1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-414", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, -2],\n [1, 2, 0, -3],\n [0, -4, 2, -3],\n [3, -4, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1006", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, 2],\n [0, 3, -2, 2],\n [0, -2, 4, -1],\n [2, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[0, -2, 0, 0],\n [-2, -3, 2, 2],\n [0, 2, 2, 2],\n [0, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -4, 3, 4],\n [3, 4, 1, -3],\n [-1, -2, 2, 1],\n [-1, 4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "456", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 4, 0],\n [2, -4, 4, 0],\n [4, 4, 4, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17394", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[4, -3, 2, 0],\n [1, 3, -3, -1],\n [4, -2, 0, -1],\n [1, 4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 2, 0],\n [-2, 2, 2, 2],\n [2, 2, -2, 0],\n [0, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, -2, -1],\n [1, -2, 3, -3],\n [-4, 3, -2, 3],\n [-4, 3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1143", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, -4, -1],\n [2, -4, -4, -2],\n [4, 2, -2, -3],\n [3, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7445", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 1, -1],\n [0, -4, 0, -3],\n [1, 0, 2, 0],\n [-1, -3, 0, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, 4, 2, 1],\n [-4, 2, -3, -4],\n [4, -1, 0, 4],\n [-4, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, -2, 3],\n [-4, -4, 0, 3],\n [-3, 4, 3, -1],\n [-4, -1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4666", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, 0],\n [-2, -4, 2, -2],\n [0, 2, 2, 1],\n [0, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1312", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 1, 1, -2],\n [1, 1, -2, 0],\n [1, -2, -1, -1],\n [-2, 0, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, 3, -2],\n [-4, -4, 4, -4],\n [1, 3, -2, 4],\n [4, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-324", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 3, 3, -4],\n [-3, 1, -2, -3],\n [-2, 0, 3, -2],\n [-1, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2368", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -1, 0, 0],\n [-1, 2, 2, 3],\n [0, 2, 4, -2],\n [0, 3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1209", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, -3, 2],\n [-1, -1, 3, 4],\n [-1, -3, 0, -2],\n [-3, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 0, 0],\n [2, 0, 2, 0],\n [0, 2, 3, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1870", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 3, 0],\n [2, -1, 0, -2],\n [3, 0, 3, 2],\n [0, -2, 2, -2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 0, 0],\n [-2, 1, -1, -2],\n [-2, 4, 0, -1],\n [2, 0, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[4, 0, -1, 0],\n [0, 1, -2, -4],\n [-1, -2, -2, 0],\n [0, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 4, 1, -2],\n [3, 2, 3, 1],\n [-3, -3, -2, -1],\n [-4, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1959", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -4, 0, 2],\n [-4, 4, 2, -3],\n [0, 2, -3, -2],\n [2, -3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2487", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 2, 0],\n [2, -3, 0, -2],\n [2, 0, 4, -2],\n [0, -2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, -2],\n [0, 4, 0, 0],\n [0, 0, 3, -1],\n [-2, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[0, -4, -2, 1],\n [4, 1, 0, 4],\n [2, -1, 3, 4],\n [-4, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 0, 0],\n [2, -4, 0, 2],\n [0, 0, 3, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, 3, 2],\n [0, 1, 2, 4],\n [3, 4, -3, 3],\n [3, -1, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23012", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, 2, -2],\n [4, 3, 2, 2],\n [3, 2, -1, 3],\n [1, -1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "430", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[3, -4, 3, -4],\n [2, 3, -4, 1],\n [-1, -3, 3, -2],\n [-1, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "504", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -1, -4],\n [-4, -2, -1, -2],\n [-1, -1, 4, 1],\n [-4, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14179", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 3, 2],\n [2, 4, 3, 3],\n [-4, -2, -3, 0],\n [-1, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "324", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, -2, -1],\n [0, -3, -4, 4],\n [4, -4, 3, -1],\n [-2, 4, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-610", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 3, -2],\n [3, -4, 1, 1],\n [-3, -1, 3, -2],\n [0, 2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-218", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, 3, 0],\n [0, 4, -3, 4],\n [3, -3, 0, -4],\n [0, 4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, 2, 3],\n [-2, 0, -1, 2],\n [-2, -4, -1, -3],\n [1, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3767", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 2, -2],\n [-1, -1, 2, 1],\n [2, 2, -4, 0],\n [-2, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "929", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 1, 1],\n [0, 0, 0, -2],\n [1, 0, -4, -2],\n [1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "519", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, -2, -4],\n [3, 2, -2, 3],\n [-2, -2, 3, 4],\n [-4, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, 0, 0],\n [-3, 0, 2, 2],\n [0, 0, 4, 0],\n [2, 4, -4, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, 0, -3],\n [2, 3, 4, 4],\n [-3, -1, 0, -2],\n [3, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "636", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -1, 0],\n [0, 0, 2, -2],\n [-1, 2, 1, -2],\n [0, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "810", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -1, -2],\n [-2, -3, 0, 3],\n [1, -2, 4, 0],\n [-1, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "716", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, 1],\n [0, -2, 0, 0],\n [2, 0, 1, 2],\n [1, 0, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "705", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 3, 2],\n [2, -2, -2, 1],\n [3, -2, -1, 0],\n [2, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -3, -2],\n [0, 0, -3, 3],\n [-1, 2, -2, 3],\n [2, 4, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1996", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-1, -3, -3, 2],\n [-3, 0, 2, 4],\n [3, 0, -2, 2],\n [1, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, 2, 1, -1],\n [2, -4, 0, -1],\n [1, 0, -3, 0],\n [-1, -1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[2, 2, 4, -2],\n [-1, 2, 1, 4],\n [-2, 3, -1, -4],\n [4, 4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -1, 4],\n [4, 1, -1, 2],\n [3, 3, 3, -2],\n [-4, -1, 1, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -2, 2],\n [2, -1, 2, -1],\n [-2, 2, -3, -2],\n [2, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7973", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 2, -3],\n [0, 0, -2, 0],\n [2, -2, -3, 0],\n [-3, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, -3, 0],\n [1, 2, 3, 2],\n [-3, 3, -3, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4867", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, 0, -2],\n [1, -2, -4, 1],\n [0, -4, -2, -1],\n [-2, 1, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6565", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 2, -2],\n [0, 1, 0, -1],\n [2, 0, 0, -4],\n [-2, -1, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "365", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 2, -1, 1],\n [2, 4, -3, 2],\n [-1, -3, -1, 1],\n [1, 2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "839", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 0, 0],\n [1, 3, -2, -2],\n [0, -2, 1, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0, -2],\n [-2, 1, 0, 2],\n [0, 0, 4, 1],\n [-2, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[4, 0, 4, 2],\n [0, 4, 0, 1],\n [4, 0, -1, 0],\n [2, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1024", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 0, 0],\n [-2, -3, 2, 0],\n [0, 2, 2, 2],\n [0, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3574", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -2, 4, 1],\n [0, 0, -2, 4],\n [-2, 1, -2, 2],\n [1, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3535", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 1, 2],\n [0, 2, -4, 1],\n [1, -4, -1, 0],\n [2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "482", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 4, 2],\n [0, 4, -2, 2],\n [4, -2, 3, -1],\n [2, 2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10525", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 0, -1, -2],\n [4, -3, -1, -1],\n [-3, 3, 2, -4],\n [-2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 1, -4],\n [4, -3, 0, 3],\n [4, -4, 2, -3],\n [2, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2322", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[4, 1, 0, -3],\n [1, 3, -4, 1],\n [0, -4, -2, 0],\n [-3, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -4, 0, 3],\n [-4, -4, 3, -2],\n [-3, 2, -2, -2],\n [-1, 0, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8229", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-1, -3, 4, 4],\n [2, -2, 2, 3],\n [3, 3, 4, 4],\n [4, -4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "450", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[1, 4, 4, 3],\n [-2, -3, 1, -1],\n [0, -2, -3, 3],\n [2, 1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, 0, 1],\n [3, -4, -3, 1],\n [-1, 3, 4, 3],\n [-4, 1, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1820", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-4, 2, 1, -2],\n [2, -1, 3, -2],\n [1, 3, 4, 1],\n [-2, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, -4, 3],\n [-3, 4, 4, -1],\n [4, 1, 1, 4],\n [-1, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1203", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -2, -1],\n [0, -3, -1, 4],\n [-2, -1, 1, -3],\n [-1, 4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "820", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -1, 2],\n [3, -4, 3, -2],\n [-1, 4, 4, 4],\n [-2, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "994", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 0],\n [0, -3, 3, 0],\n [0, 3, 0, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "593", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -4, 1],\n [4, 0, -2, -4],\n [3, 1, -2, -2],\n [-2, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2517", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, 0, -1],\n [-1, -4, -1, -2],\n [0, -1, -1, -2],\n [-1, -2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6771", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-3, 0, -1, -1],\n [0, 0, -2, 0],\n [-1, -2, 2, 1],\n [-1, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -1, -4],\n [1, 3, 2, 0],\n [2, -1, 0, 1],\n [2, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, -2],\n [-2, 1, 3, 0],\n [0, 3, 1, -2],\n [-2, 0, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1600", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, -1, 0],\n [4, -4, -3, -3],\n [0, 1, -2, -3],\n [1, -2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1271", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, -4, -2],\n [-3, -4, 3, 1],\n [1, 4, -4, 3],\n [-1, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8954", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, 2, 2],\n [4, 3, -2, -1],\n [2, -2, 2, -1],\n [2, -1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8925", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 2, -1],\n [0, 0, 1, 0],\n [2, 1, 0, 3],\n [-1, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, -3, -4],\n [-4, -3, -4, 2],\n [1, 2, 0, -1],\n [2, 1, -4, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "386", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 0, 0],\n [0, -2, 1, 0],\n [0, 1, 2, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "910", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 3, 3],\n [2, -2, 1, -3],\n [-3, 3, -2, 2],\n [2, 2, 2, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[3, -2, 0, -1],\n [1, 1, -2, 0],\n [-4, 2, 1, -2],\n [4, -2, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, -3, 4, 0],\n [2, 3, -1, 2],\n [3, 4, -1, 4],\n [-4, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[3, -1, -4, 2],\n [1, 1, -2, -3],\n [3, -4, -1, -3],\n [-4, -2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-275", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, -2, -2, 3],\n [-2, 3, 0, 0],\n [-2, 0, -3, 2],\n [3, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-3, -2, 0, 3],\n [-2, -1, 3, 2],\n [0, 3, -4, 1],\n [3, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 3, 4],\n [2, -2, -1, 4],\n [4, 4, -1, 3],\n [-4, -2, -1, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[2, -1, 3, 3],\n [1, -2, 2, 2],\n [4, 3, 4, 2],\n [-3, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "845", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[0, 1, 2, -2],\n [-2, 0, 4, 1],\n [2, 4, 4, 0],\n [2, -3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -3, 2],\n [0, 2, 2, -4],\n [2, 1, -4, -2],\n [-1, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "536", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[2, -2, -1, 0],\n [-2, -1, -4, -2],\n [-1, -4, 1, -2],\n [0, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 1, 4],\n [-2, 2, -1, -1],\n [0, -4, 4, 4],\n [2, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1311", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 2, 4, -1],\n [-3, -4, 1, 4],\n [-2, -3, -4, 4],\n [-2, -3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1113", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-4, 1, -1, -4],\n [-1, 1, 3, 2],\n [-2, 1, 2, -2],\n [2, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 2, 2],\n [2, -3, 2, 1],\n [2, 2, -2, 2],\n [2, 1, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "691", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, -4, 2, -2],\n [0, 4, -1, -3],\n [4, -2, 2, -4],\n [3, -2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -3, -3],\n [0, 0, -4, 3],\n [1, 4, 0, 0],\n [-3, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-3, -1, -3, 4],\n [4, -4, 1, -3],\n [1, 0, 3, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-4, 0, -2, -2],\n [0, 2, -2, 0],\n [-2, -2, -1, -1],\n [-2, 0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, -4, -2],\n [-2, 0, 1, -3],\n [-1, -2, -3, 1],\n [1, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1236", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, -4, 4],\n [1, 1, 2, -3],\n [0, -4, 3, 4],\n [4, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1024", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -2, 0],\n [0, 1, 2, -1],\n [-2, 2, -4, -1],\n [0, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 1, -3],\n [-1, -3, 2, -1],\n [-1, 1, -1, 1],\n [2, 3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, 4, -4],\n [-1, 0, -4, 0],\n [4, -4, 3, 3],\n [-4, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -3, 4, 1],\n [-4, -3, 4, 2],\n [-2, -4, 4, -3],\n [-2, 0, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-3, -2, 0, -2],\n [-2, 3, -4, 0],\n [0, -4, 4, 2],\n [-2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2352", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, 0],\n [0, -1, -4, -2],\n [2, -4, 0, -3],\n [0, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6950", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 2, 1],\n [2, 3, -2, 0],\n [2, -2, 1, 0],\n [1, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1772", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-4, -2, 3, 2],\n [-2, 3, -2, -1],\n [3, -2, -2, 0],\n [2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-1, 1, 4, 2],\n [1, 1, -4, -3],\n [4, -4, 1, 0],\n [2, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -2, -3],\n [-4, -2, 3, -2],\n [3, 2, -4, -3],\n [-3, 3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1018", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0, -2],\n [-2, -2, -2, -2],\n [0, -2, 4, 0],\n [-2, -2, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[3, -2, 0, 0],\n [-2, 3, 2, 0],\n [0, 2, 3, 0],\n [0, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, 2, 0],\n [4, -3, 3, 3],\n [3, -3, 1, -2],\n [0, 2, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 0, 0, 1],\n [0, 1, 2, 1],\n [0, 2, 0, -2],\n [1, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 1, 2],\n [-1, -1, -2, 0],\n [1, -2, -4, -4],\n [2, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-459", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[0, 0, -2, 0],\n [0, -4, 2, 0],\n [-2, 2, -4, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "896", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 2, 0],\n [1, 1, 0, -1],\n [2, 0, 4, 3],\n [0, -1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "482", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, 0, -1],\n [0, -4, -3, -3],\n [2, -3, 1, 4],\n [0, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1014", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 0, -2, -1],\n [0, 1, 1, -2],\n [-2, 1, -3, -2],\n [-1, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 2, 0],\n [2, 3, -2, 0],\n [2, -2, 0, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "834", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -3, 0],\n [1, 2, 3, 2],\n [-4, -2, 1, -2],\n [-2, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1223", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-3, 4, -2, -3],\n [3, 1, -4, 1],\n [-2, 0, 2, 0],\n [-3, -4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "675", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[0, -4, -3, -2],\n [-4, 2, 1, -2],\n [0, 4, -2, 0],\n [3, 2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 0],\n [0, 4, 2, 2],\n [0, 2, -1, 0],\n [0, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1702", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[3, 2, 2, -2],\n [2, 0, 0, 0],\n [2, 0, 0, -2],\n [-2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, 2, 4],\n [-3, -3, -2, 0],\n [2, -2, -3, 0],\n [4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3554", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, -3, -3],\n [1, 3, -4, -1],\n [1, 2, -1, -1],\n [1, -2, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "802", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 0, 0],\n [-2, 3, -3, 1],\n [0, -3, -2, -2],\n [0, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "585", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 0, 0],\n [2, 1, 2, 0],\n [0, 2, 1, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 2, 2],\n [-1, -1, 2, 0],\n [2, 2, -4, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4285", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 2, 2],\n [-2, -4, 2, 3],\n [2, 2, 2, 0],\n [2, 3, 0, 4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-430", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 3, 4],\n [3, 3, 4, 3],\n [1, 0, -4, -1],\n [4, -4, 2, -1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 0, 1],\n [0, 2, 3, 0],\n [0, 3, -2, -2],\n [1, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1228", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 0, 0],\n [2, -2, -2, -3],\n [0, -2, 0, 0],\n [0, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-311", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 0, 0, 2],\n [0, -4, -1, 0],\n [0, -1, 3, 0],\n [2, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[4, 2, -1, 4],\n [-4, 1, 4, -2],\n [1, -2, 3, -3],\n [-2, 4, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 0, 0],\n [0, 1, -2, 0],\n [0, -2, 4, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 0, 4],\n [2, 1, -2, 1],\n [0, -2, 0, 2],\n [4, 1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8662", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[3, -2, -2, -1],\n [3, 1, 1, -4],\n [4, 1, -1, 1],\n [-2, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 4, -2],\n [-2, -1, 1, -2],\n [4, 1, -4, 0],\n [-2, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1105", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, 0, 2],\n [-4, 0, 3, -2],\n [0, 3, 2, -2],\n [2, -2, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "490", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, 1, -2, -1],\n [-3, -1, -3, -2],\n [2, 1, 0, 0],\n [-1, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, 1, -1],\n [2, 4, -1, -2],\n [1, -1, 2, 0],\n [-1, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "473", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 3, -1, -3],\n [2, 1, -1, 1],\n [-2, 0, -2, -4],\n [-2, -2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "742", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[2, -2, 0, 0],\n [-2, -3, 0, 0],\n [0, 0, 4, 0],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, -2, 0],\n [0, 2, 2, 0],\n [-2, 2, 2, 2],\n [0, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "802", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, 0, -4],\n [2, -2, 2, -1],\n [3, -2, 2, 4],\n [3, -3, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -2, 4],\n [-1, 3, -2, 2],\n [-3, 4, 4, 4],\n [-2, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6044", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1, 2],\n [-2, 3, -1, -2],\n [-1, -1, 4, 2],\n [2, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "654", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 1, -1, -3],\n [0, -2, -3, -1],\n [-3, -1, 0, 3],\n [-3, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[1, 0, 0, 0],\n [0, 3, 3, -1],\n [0, 3, -1, -4],\n [0, -1, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "750", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, 1],\n [3, 2, -1, -4],\n [0, 2, 1, 3],\n [4, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 2, -1, 4],\n [2, 1, 0, 0],\n [-1, 0, 4, -2],\n [4, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2694", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, -2, 0],\n [2, -2, -2, 0],\n [-2, -2, 2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3009", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -3, 1],\n [2, 1, 2, -2],\n [0, -3, 2, -1],\n [4, -1, -2, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-2, 0, 2, -1],\n [0, 3, 0, -3],\n [2, 0, 3, 2],\n [-1, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, -1, -4],\n [4, 0, -1, -3],\n [1, 2, 4, -2],\n [-1, -4, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "419", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, -1, 1, 1],\n [-1, 2, 2, 2],\n [1, 2, -4, 0],\n [1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 4, 3, 0],\n [2, 3, 1, -3],\n [4, -1, 4, -2],\n [4, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "838", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 0, 2],\n [3, 3, 2, 4],\n [0, 2, 4, -2],\n [2, 4, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2619", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, 2, 2],\n [0, -3, 4, 2],\n [2, 4, -4, -3],\n [2, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38787", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 0, 0],\n [1, 0, 1, 1],\n [0, 1, 3, 1],\n [0, 1, 1, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 0],\n [-2, -2, 1, -2],\n [0, 1, -2, -2],\n [0, -2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-371", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -3, 0],\n [2, -1, 4, 4],\n [1, 4, 1, 3],\n [-4, -4, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-564", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[-4, 1, 0, -4],\n [-4, 3, -2, -3],\n [-2, -2, -1, 2],\n [2, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, -1, 2],\n [1, 2, 3, 3],\n [2, -3, -2, -1],\n [-3, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -3, -1],\n [-3, 3, -2, 0],\n [-1, -2, -2, 3],\n [4, -2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "489", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -2, 2],\n [-4, -1, -3, 1],\n [-2, -3, -4, 0],\n [2, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11459", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, 2, -1, 0],\n [0, -1, 3, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, -2, 2],\n [0, -3, 3, -3],\n [-2, 1, -3, -3],\n [-2, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, -2, 1],\n [-2, -1, 2, 1],\n [-2, 2, 1, 1],\n [1, 1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "275", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 3, -1, -1],\n [0, -3, -1, 3],\n [-1, -2, -1, -2],\n [-3, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -1, 3],\n [2, -1, 0, 3],\n [3, 0, 0, -1],\n [4, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8592", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, -3, -1],\n [-3, -3, -2, 0],\n [2, 0, -4, 0],\n [2, 1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-696", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 0, 2],\n [0, -2, 3, -2],\n [0, 3, 2, 0],\n [2, -2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1175", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-1, -2, 0, 0],\n [1, 4, 1, 4],\n [-1, -1, -2, -3],\n [-4, 3, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-436", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -2, -3, 0],\n [-2, -2, -2, 3],\n [-3, -2, 1, 2],\n [0, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2886", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, 3, -4],\n [-1, 2, 2, 1],\n [4, -1, 0, -1],\n [-1, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -4, 3],\n [-1, -3, 2, 4],\n [-4, 0, 1, -4],\n [-3, -3, -4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1346", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 4, -3],\n [1, -2, -3, 2],\n [4, 2, 4, 1],\n [1, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5834", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 0, 0],\n [-1, 0, -1, -2],\n [0, -1, 0, 2],\n [0, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 4, -1],\n [-1, -1, 4, -1],\n [-2, -1, -2, 4],\n [3, 2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7483", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, -2],\n [0, 1, -2, 0],\n [2, -2, -2, 2],\n [-2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "502", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -1, -1],\n [-2, 1, -2, -1],\n [-3, -1, 0, 0],\n [0, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2201", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[1, -1, 3, -1],\n [-1, -4, -1, -2],\n [3, -1, 3, -3],\n [-1, -2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 2, -2],\n [-2, 2, 1, 0],\n [2, 1, -3, 0],\n [-2, 0, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "548", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 3, -3, -3],\n [2, 1, 4, 1],\n [-3, -2, -4, 2],\n [0, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3466", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 4, -4, 0],\n [-2, 1, -4, -3],\n [-2, 3, -1, 2],\n [3, -1, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-3, -2, -2, -2],\n [-3, -4, 2, 2],\n [3, 0, -4, -1],\n [4, 2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, 1, 0],\n [3, -2, 2, 2],\n [0, -2, -3, -4],\n [4, 0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1395", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, -2, 2],\n [-2, -4, 0, 2],\n [-2, 0, 1, 0],\n [2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "971", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 1, 3],\n [2, -1, 0, 0],\n [1, 0, -1, 0],\n [3, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4533", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[0, -1, -1, 3],\n [-1, 0, 4, 0],\n [-1, 4, 0, 0],\n [3, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, 1, -2],\n [1, -3, 0, -2],\n [1, 0, -1, -1],\n [-2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[1, -1, 4, -2],\n [-4, 2, -2, 1],\n [-1, 0, -3, -2],\n [4, -2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 2, -1],\n [-2, 4, 0, 1],\n [-4, -1, -3, 1],\n [4, -4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -1, 2],\n [1, -4, -2, -3],\n [-1, 0, 2, 2],\n [2, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1404", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, 0, 4],\n [3, 2, 0, 1],\n [0, 0, 4, 4],\n [4, 1, 4, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1590", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, -2, -2],\n [-2, -4, 2, -4],\n [-2, 2, -3, -1],\n [-2, -4, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7370", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, -3, -1],\n [2, 0, 3, 2],\n [-4, -1, -2, 1],\n [3, 1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, -3, 4],\n [3, -4, 1, 1],\n [3, -2, 1, 1],\n [4, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8046", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, 4, 0],\n [-1, -1, 1, 2],\n [4, 1, 0, 0],\n [0, 2, 0, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 1, 2],\n [0, -1, -1, 3],\n [1, -1, -2, 0],\n [2, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "373", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 3, 0],\n [-2, -2, -4, 2],\n [3, -4, 4, -1],\n [0, 2, -1, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-2, -1, 0, -1],\n [-1, 4, -2, -3],\n [0, -2, 4, 0],\n [-1, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "801", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, 1, 2, 2],\n [1, -3, 0, 0],\n [2, 0, 0, -3],\n [2, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[3, 2, -3, 1],\n [2, 0, 4, 0],\n [-3, 4, 1, 1],\n [1, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, -1, 3],\n [0, 4, 0, -1],\n [-1, 0, -2, -2],\n [3, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1402", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 2, 1],\n [-3, 3, -3, -2],\n [0, 2, 1, -2],\n [3, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "698", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -2, 3],\n [2, 4, 0, 1],\n [-2, 0, -1, 0],\n [3, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1594", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 1, -2],\n [0, -1, -2, 3],\n [2, -1, 4, 0],\n [0, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, -4, 3],\n [0, 2, 4, -4],\n [-1, 1, 2, -3],\n [2, -1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[0, 2, 1, 1],\n [0, 4, 4, -3],\n [3, 1, 0, 2],\n [-3, -4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, 2, 2],\n [3, -4, -1, 4],\n [-1, 4, 1, 2],\n [3, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3244", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 4, 3],\n [3, 2, -2, 0],\n [-3, 4, 4, 1],\n [1, 1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "917", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 0, 0],\n [-2, 2, -4, -2],\n [0, -4, 4, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1219", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 0],\n [2, 0, 0, 2],\n [-2, 0, 1, 0],\n [0, 2, 0, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[3, 4, 2, -2],\n [4, -4, 2, -1],\n [2, 2, -2, 1],\n [-2, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -3, 2],\n [3, -1, 0, 1],\n [-3, 2, 2, -2],\n [1, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4656", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -1, -4, 4],\n [2, -2, 3, -4],\n [-3, -1, 1, 3],\n [3, -3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 0, 4, 2],\n [0, 4, 0, 0],\n [4, 0, -4, 2],\n [2, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 0],\n [0, 0, 0, -1],\n [0, 0, 3, 0],\n [0, -1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-1, 4, 4, -2],\n [2, 2, 0, 1],\n [0, -1, 0, -4],\n [0, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[3, 0, 4, -1],\n [-4, -2, -4, 1],\n [3, -2, -3, 0],\n [-2, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, 0, 2],\n [-1, -3, -1, -2],\n [0, -1, -3, 2],\n [2, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3263", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 4, 2],\n [-3, -4, -3, 2],\n [4, -3, -1, -4],\n [2, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2276", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 0, 4],\n [3, 2, 2, -3],\n [2, 4, 0, 0],\n [-1, 2, -3, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, -2, -1, 3],\n [4, -2, -3, 3],\n [-3, 0, -4, -4],\n [-1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "453", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 1, 0, 2],\n [1, -3, -2, 2],\n [0, -2, 0, -2],\n [2, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 2, 1],\n [-1, -1, 0, -3],\n [2, 0, -1, -3],\n [4, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 0, 2],\n [1, -4, -1, 0],\n [0, -1, 2, 3],\n [2, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -1, 1],\n [-2, 4, 0, -2],\n [-1, 0, 4, 1],\n [1, -2, 1, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -3, -4],\n [0, -4, -2, -2],\n [-3, -2, -2, 0],\n [-4, -2, 0, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, 1, 2, 0],\n [-1, -1, 2, -1],\n [3, -4, 4, 0],\n [4, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, -4],\n [-4, 1, -2, 0],\n [2, -4, -1, 0],\n [0, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5470", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 2, 0],\n [1, 3, 0, -2],\n [2, 0, 3, -1],\n [0, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -1, 0, -2],\n [-3, 1, -2, 3],\n [1, 4, 2, 1],\n [4, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[4, 2, -1, 4],\n [2, 4, 1, -1],\n [-1, 1, 1, 2],\n [4, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, -1, -1],\n [-2, 0, -3, 1],\n [-3, -2, 4, 0],\n [4, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "523", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, 0, 3, 1],\n [0, 2, -3, -2],\n [3, -3, -2, 0],\n [1, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, -3, -1],\n [2, 3, 4, -1],\n [-3, -2, -2, -3],\n [-4, -1, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6919", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2, 1],\n [2, -1, 2, -3],\n [2, 2, -4, 4],\n [1, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-3, 0, 2, 2],\n [0, -4, -1, -4],\n [2, -1, 2, 2],\n [2, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, -2, -4],\n [0, 3, 3, -3],\n [-3, 3, 3, 3],\n [-1, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14247", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 4, -3, 0],\n [4, 0, 2, 2],\n [-2, -2, 4, -2],\n [1, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1390", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -1, 3],\n [0, 3, 0, -2],\n [-1, 0, -4, 2],\n [3, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 0, 1, -3],\n [-3, -3, 0, -1],\n [-2, -3, -4, 3],\n [-1, 2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 1, -2],\n [1, 4, 1, -4],\n [0, 0, 3, 3],\n [2, 2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[1, 2, 2, 2],\n [2, 4, 2, -2],\n [2, 2, -2, 0],\n [2, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, 2, 0],\n [-2, -2, 0, 0],\n [2, 0, -3, 0],\n [0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, -1, -4, -3],\n [-1, 1, -2, 1],\n [-4, -2, 1, 2],\n [-3, 1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -4, 4, 0],\n [4, 1, 4, 4],\n [4, -2, 0, 2],\n [0, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 0, 4, -2],\n [1, 0, -2, -4],\n [2, 4, -3, 3],\n [3, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 0, 3],\n [2, 0, -2, 0],\n [0, -2, -2, -4],\n [3, 0, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6888", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, 3, 3],\n [1, 2, 4, 1],\n [-2, 2, -3, -3],\n [0, -4, 1, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -2, -1],\n [0, -3, -2, 0],\n [-2, -2, 1, -2],\n [-1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "308", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, -2, -2],\n [1, 1, -2, 1],\n [-2, -2, -2, -3],\n [-2, 1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "774", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, 3, -3],\n [-1, 4, -2, -1],\n [-3, -4, -4, 1],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 0, 0, -3],\n [1, 3, 4, -1],\n [-2, -1, -2, -1],\n [-2, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3629", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, -4, 4],\n [2, -4, -1, 0],\n [-1, 4, 4, 2],\n [3, -3, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5212", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, -2, 4],\n [4, -1, -4, 3],\n [2, 2, -1, -3],\n [-4, 1, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-933", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 2, 1, 0],\n [2, -1, 2, 1],\n [1, 2, 0, 3],\n [0, 1, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2504", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[2, -2, 0, 0],\n [-2, 4, -1, -2],\n [0, -1, -1, -1],\n [0, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, 1, 2],\n [3, 2, 0, 0],\n [1, 0, -1, 0],\n [2, 0, 0, 4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, 0, 1],\n [1, 2, -3, -2],\n [0, -3, 0, -3],\n [1, -2, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-1, -2, 3, -4],\n [0, 1, -4, 4],\n [1, 1, 1, 3],\n [1, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 4, 4, -2],\n [1, -3, 0, 0],\n [-3, 4, 4, -3],\n [2, -4, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-1, 4, -1, 1],\n [-4, 3, 4, -4],\n [-1, -3, -3, 4],\n [-4, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[0, -3, -2, 0],\n [-2, 0, 3, -2],\n [-4, -3, 0, 4],\n [-1, -2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[4, -2, -3, 0],\n [-2, 0, -4, -2],\n [-3, -4, 4, -1],\n [0, -2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, 2, -2],\n [3, -4, -1, 1],\n [2, -1, 4, 0],\n [-2, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 1, 3, 4],\n [-1, -3, -4, -1],\n [1, -1, 3, -3],\n [4, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0, -1],\n [0, -4, -2, 0],\n [0, -2, -1, 0],\n [-1, 0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-219", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[2, -4, 3, 0],\n [-3, 3, 4, 1],\n [0, 3, -2, -1],\n [1, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 2, 3],\n [-4, 1, 4, -1],\n [-1, 0, 4, -3],\n [-1, 2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "717", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, 2, -2],\n [-1, -1, 4, 1],\n [2, 4, -2, 0],\n [-2, 1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, -2, 0],\n [2, -2, 4, 4],\n [-2, 4, 4, -4],\n [0, 4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19920", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-4, 0, 2, -2],\n [0, -4, 2, 0],\n [2, 2, 3, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, 0, -2, 0],\n [0, -3, -1, 0],\n [-2, -1, -4, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, -1, -4, 1],\n [-2, 1, -4, 0],\n [3, 2, -3, -1],\n [1, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-2, 3, 0, 1],\n [3, -4, -3, 3],\n [3, -4, -2, -2],\n [1, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2407", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 1, 0, 2],\n [1, -1, -1, -2],\n [0, -1, -3, 2],\n [2, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1828", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -4, 4],\n [-2, -4, -4, -4],\n [-1, 2, 3, -1],\n [-2, 1, -4, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, -3, 2],\n [1, 0, -2, -3],\n [4, 0, -4, -3],\n [-3, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 0, 4, 2],\n [0, 1, 0, 0],\n [4, 0, 3, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-1, -3, 2, -1],\n [3, 4, -4, 3],\n [1, 4, 3, -4],\n [0, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-577", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-2, -2, 1, 3],\n [-2, -2, -1, 0],\n [1, -1, 3, 0],\n [3, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, 2, 4],\n [-1, 3, -1, 1],\n [-4, 4, 3, -2],\n [2, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3584", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 0, -2],\n [2, -3, -3, 0],\n [0, -3, 0, 1],\n [-2, 0, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3752", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -2, 0],\n [2, 2, -2, 0],\n [-2, -2, -1, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-1, 2, 1, 1],\n [-2, 4, 0, 4],\n [-3, -2, 1, -4],\n [-4, 2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-702", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[0, -3, 4, 4],\n [0, 3, -3, 1],\n [2, -3, -1, 3],\n [4, 1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -2, 1],\n [0, 1, 2, 1],\n [-4, -1, 1, -1],\n [2, -1, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, 2, 4, 1],\n [-3, -4, -3, -4],\n [-1, 3, -2, 2],\n [-2, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, -2, 0],\n [2, -3, -2, 0],\n [-2, -2, -4, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -4, 3],\n [3, 2, -1, -4],\n [4, -2, 1, 3],\n [-3, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 0, 1],\n [1, 4, -2, -2],\n [0, -2, -4, 2],\n [1, -2, 2, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 1, 2],\n [-1, 3, -3, -1],\n [0, -1, -2, 2],\n [-3, -2, 4, 2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -2, -4],\n [0, 2, 4, 4],\n [-4, 0, 0, -4],\n [-4, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14064", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -1, -2],\n [2, 4, 0, 0],\n [-1, 0, 1, 1],\n [-2, 0, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -4, 3],\n [-1, -3, -4, 4],\n [1, 0, 3, 3],\n [4, -2, 1, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -3, -4],\n [0, -3, -2, 1],\n [-3, -2, 4, -2],\n [-4, 1, -2, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[2, -2, -2, 0],\n [-2, -2, 2, -2],\n [-2, 2, -4, 3],\n [0, -2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, 0, -4],\n [-2, 2, -4, 0],\n [0, -4, 3, 1],\n [-4, 0, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1590", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 4, 0],\n [0, 4, -2, 2],\n [4, -2, 0, 0],\n [0, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "748", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, -2, -2],\n [-4, 3, 2, -4],\n [-2, 2, 4, 2],\n [-2, -4, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3918", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, -1, 3],\n [-1, -4, -4, 0],\n [-4, 0, 3, -4],\n [-1, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, 4, 2, 3],\n [4, -2, -2, 3],\n [1, -3, 0, 0],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 2, -2, -2],\n [2, 3, 1, 0],\n [-2, 1, -1, -2],\n [-2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "840", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[1, 2, 4, -2],\n [1, 4, 4, -3],\n [0, 2, -2, 3],\n [4, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, 2, 0],\n [-1, -2, -1, 0],\n [2, -1, 1, 1],\n [0, 0, 1, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -3, 4],\n [-1, 2, 3, 3],\n [1, 1, 4, -2],\n [-3, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2190", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0, -1],\n [-1, -4, -2, 1],\n [0, -2, 3, 1],\n [-1, 1, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "418", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-1, 2, 4, 2],\n [2, -2, 2, -3],\n [4, 2, -4, -1],\n [2, -3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, 0, 2, 0],\n [0, 1, 4, -4],\n [-1, -2, -2, 4],\n [3, -3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 2, 0],\n [0, 1, -2, -1],\n [2, -2, -4, 2],\n [0, -1, 2, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -3, 0],\n [-2, -1, 4, -3],\n [-4, 3, -1, -3],\n [-2, 3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "670", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, -1, 4],\n [-1, 0, -4, 1],\n [0, 0, -4, -2],\n [2, -2, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2252", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -3, -1],\n [0, 4, 0, 1],\n [1, -4, 2, 3],\n [-1, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-2, -4, -2, -2],\n [-4, 2, 0, -2],\n [-2, 0, -4, 2],\n [-2, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 1, 3],\n [-2, -2, -4, -1],\n [-3, 1, -3, -2],\n [-2, -4, -1, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 2],\n [2, 0, -2, 2],\n [2, -2, -3, 0],\n [2, 2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "445", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, -1, 3, -4],\n [1, -3, -2, 0],\n [3, -1, 4, 2],\n [0, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[4, -2, -3, -3],\n [-4, 4, -4, -3],\n [-3, -4, -4, 0],\n [-1, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[4, 2, 2, 4],\n [-4, -3, 1, 3],\n [4, 4, -4, 0],\n [-1, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, 0, -3],\n [-2, 2, 2, 3],\n [-4, 4, -2, 1],\n [2, 4, -4, 1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[2, 3, -2, 2],\n [1, -1, 2, -1],\n [0, 4, 0, -4],\n [0, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-233", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-4, 2, -1, 2],\n [2, -3, -2, -2],\n [-1, -2, -4, 2],\n [2, -2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-1, -4, 0, -1],\n [-4, -4, -1, 0],\n [0, -1, -1, 0],\n [-1, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, -1, -2],\n [-3, 4, 2, 1],\n [4, -2, -1, 0],\n [1, 0, -3, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, -2, 3],\n [-1, -1, 4, 3],\n [-2, 4, 4, -2],\n [-1, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10914", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 0, 0],\n [-2, -4, 2, -4],\n [0, 2, 0, -1],\n [0, -4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5089", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 4, -1, 0],\n [2, 1, 0, 3],\n [-4, 2, -3, 1],\n [4, -4, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "606", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-1, -1, 0, 3],\n [2, 3, -2, 4],\n [-2, -1, -4, -3],\n [2, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 2, -4],\n [0, 1, 1, 4],\n [2, 1, -1, 2],\n [-4, 4, 2, 3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -2, 1],\n [2, -4, -3, 2],\n [-2, -3, -4, 4],\n [1, 2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3082", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 2, 0, 0],\n [2, 0, 2, 0],\n [0, 2, -2, -3],\n [0, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3642", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 0, -2],\n [2, 1, -2, 0],\n [0, -2, -4, 2],\n [-2, 0, 2, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 1],\n [0, 3, -2, 0],\n [0, -2, -2, 0],\n [1, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, 1, -3],\n [-1, 2, 0, 1],\n [1, 0, -4, 2],\n [-3, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "373", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -3, 1, 0],\n [-3, 0, -4, -2],\n [1, -4, -4, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9516", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 3, 0],\n [3, 3, 0, 0],\n [-2, -4, -4, 0],\n [1, -3, -4, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -4, 0],\n [0, -3, 4, 0],\n [-4, 4, -2, 2],\n [0, 0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, 1, -1],\n [4, -1, -2, 2],\n [-2, -2, 1, -3],\n [4, -1, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, -4, 3, 2],\n [-4, -2, 0, -2],\n [3, 0, -3, -2],\n [2, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1341", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, 2],\n [0, -1, 2, -2],\n [2, 2, 0, 0],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, 0, -1],\n [-3, -1, 4, -4],\n [0, 4, 2, 0],\n [-1, -4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1554", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-2, 1, 4, 3],\n [1, -2, 0, 0],\n [4, 0, -1, 2],\n [3, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 4, -4, 2],\n [0, -2, 0, 3],\n [0, 3, -1, -4],\n [-2, 1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-195", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 4, -2],\n [3, -2, -1, -2],\n [-1, -2, -3, 4],\n [3, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1028", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-2, 0, -4, 4],\n [0, -2, -2, 0],\n [-4, -2, 4, -1],\n [4, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 0, -2],\n [2, 3, 1, 0],\n [0, 1, -1, -1],\n [-2, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2, -2],\n [0, -3, -2, 2],\n [2, -2, -4, 0],\n [-2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6001", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 0, -4],\n [4, 0, 2, 4],\n [-4, -2, -2, -4],\n [4, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -4, 0, 0],\n [-4, -4, 0, 0],\n [0, 0, -4, 0],\n [0, 0, 0, 3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, -3, 2],\n [-1, 2, 4, -4],\n [-4, -1, 3, 2],\n [-2, 3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12768", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 0, -4],\n [-1, 1, -2, 0],\n [0, -2, -4, 2],\n [-4, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5994", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, 1, 0],\n [-4, -3, 0, -2],\n [1, 0, 3, 0],\n [0, -2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6554", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2, 2],\n [-2, 4, 2, 0],\n [-2, 2, 2, 2],\n [2, 0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "992", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, 2, 0, -4],\n [2, 2, -3, 1],\n [0, -3, -4, 2],\n [-4, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, -3, -3],\n [3, -3, 4, 4],\n [1, 0, 1, 0],\n [-2, 2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "504", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 2, 2],\n [2, -4, 0, 0],\n [2, 0, 0, 0],\n [2, 0, 0, -1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -2, -2],\n [2, 0, 3, -4],\n [-2, 3, -3, 0],\n [-2, -4, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -4, 4],\n [0, 3, 4, -4],\n [3, 4, 0, 0],\n [-1, -4, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 0, 0],\n [2, 3, -4, 2],\n [0, -4, 1, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 4, -4],\n [0, -1, 3, -1],\n [-1, -1, -4, -4],\n [-4, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4876", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[3, 3, -3, -2],\n [2, 3, -4, -4],\n [0, 3, -1, 2],\n [3, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -2, 2, 4],\n [4, 3, -2, 0],\n [3, -4, 2, -3],\n [-3, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, -4, 0],\n [-1, 3, 0, -3],\n [0, -3, -2, -3],\n [-1, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3641", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -2, 1, 0],\n [2, -3, 0, 3],\n [-2, 4, -1, -4],\n [3, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, -2],\n [2, -1, 0, -2],\n [0, 0, 1, -2],\n [-2, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -4, -1, 0],\n [-4, -1, 0, 0],\n [-1, 0, 3, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1561", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[4, -1, -2, 0],\n [-1, -4, 0, -2],\n [-2, 0, -4, 3],\n [0, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "457", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, 4, 2],\n [-2, -2, -1, 4],\n [4, -1, -1, -2],\n [2, 4, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1551", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2, 1],\n [0, -4, -2, 3],\n [-2, 0, 3, 3],\n [2, 2, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 0],\n [0, -3, -3, 0],\n [1, -3, -4, 2],\n [0, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7032", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, -2, -2],\n [0, 0, 2, 0],\n [-2, 2, 4, 2],\n [-2, 0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, 3, 4, 4],\n [-1, -4, 3, 1],\n [-4, 3, 3, 0],\n [-1, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-1, -2, 0, 0],\n [-2, 2, 0, 0],\n [0, 0, 1, 2],\n [0, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 2, 0],\n [-2, -3, 0, -2],\n [2, 0, -3, -1],\n [0, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, -1, 1],\n [-3, -1, -3, -3],\n [1, -1, -4, 3],\n [3, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3895", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 2, -3],\n [0, -4, 0, 1],\n [2, -4, 1, -4],\n [1, -1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "298", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 3, -2, -1],\n [3, 1, 3, -4],\n [-3, 4, -4, 0],\n [-4, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1860", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, -4, 1, -2],\n [1, 0, 2, 1],\n [-3, 0, -2, 4],\n [1, -1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -1, 0],\n [-2, 2, 0, 1],\n [-1, 0, 2, 0],\n [0, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0, 0],\n [0, 2, -3, 0],\n [0, -3, -4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 0, -4],\n [0, 2, 0, 3],\n [0, 0, -2, -4],\n [-4, 3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13105", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 2, 2],\n [0, -3, 0, 0],\n [2, 0, 2, 0],\n [2, 0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[1, 4, -4, 0],\n [-4, 2, -4, -2],\n [3, 1, 3, -3],\n [3, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[3, 2, 0, 3],\n [2, 1, 0, -3],\n [0, 0, 1, 2],\n [3, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, -4, 2],\n [3, -2, 1, -2],\n [-4, 1, -3, -3],\n [2, -2, -3, 4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "975", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -4, 1],\n [-2, 2, 2, -1],\n [-3, -4, 0, -2],\n [-4, 1, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[0, -3, 4, 2],\n [-2, -3, 0, 0],\n [0, -3, -4, 2],\n [1, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, -2, -1],\n [1, 2, 1, 2],\n [3, 0, 3, 4],\n [-4, 4, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, -2, 0],\n [-4, -2, 3, 0],\n [-2, 3, -4, -2],\n [0, 0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2895", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, -3],\n [4, -4, 4, -2],\n [2, 2, 2, -1],\n [-3, 1, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1294", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, -2, -2],\n [3, 1, 4, 2],\n [-2, 4, 0, 4],\n [-2, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19209", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 4, -3, 3],\n [-3, -1, 1, 1],\n [-1, 4, -3, 0],\n [-2, -4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1700", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 1, -2, 0],\n [1, 4, 4, 0],\n [-2, 4, 2, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -1, 2, -1],\n [-3, -1, 3, 1],\n [-1, -1, 3, -2],\n [-3, -1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1371", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-4, -2, 0, -2],\n [-2, -2, -2, 1],\n [0, -2, -3, 4],\n [-2, 1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -1, 3],\n [4, 1, -4, 0],\n [-3, 1, -3, -2],\n [2, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "345", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, 0, 0],\n [1, 3, 0, -2],\n [0, 0, 3, 0],\n [0, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 4, 4, -2],\n [2, -2, 0, -3],\n [2, -4, -1, 3],\n [4, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 0],\n [0, 0, 4, -4],\n [0, 4, -2, -1],\n [0, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "685", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 4, 2],\n [0, -2, 3, 1],\n [0, 2, 1, -2],\n [-4, 4, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, 2],\n [0, 3, 0, -2],\n [-2, 0, 4, -2],\n [2, -2, -2, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-296", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[2, -2, -3, 0],\n [1, 2, -1, 1],\n [-1, -2, 1, -4],\n [-1, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-4, 0, -2, 0],\n [0, -2, -2, -3],\n [-2, -2, -4, -2],\n [0, -3, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, -2, 0],\n [2, 4, 0, 2],\n [-2, 0, -3, 1],\n [0, 2, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, 3, 0],\n [-3, -2, -2, 2],\n [3, -2, 4, 1],\n [0, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "579", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 3, 0],\n [-1, -3, -3, -3],\n [-2, 0, 0, 0],\n [3, -4, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "928", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[0, 4, 2, 0],\n [4, 3, -1, -2],\n [2, -1, -2, 2],\n [0, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-686", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 1, -2],\n [-1, 2, 2, -1],\n [-1, -4, -1, -2],\n [-3, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "290", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[-4, 2, -1, -2],\n [1, 0, 0, -2],\n [-3, 4, 2, 3],\n [-3, -4, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, 2, -2],\n [-2, 2, 1, -3],\n [1, -2, 0, -1],\n [2, 3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -3, 2, 0],\n [-3, -4, -1, 0],\n [2, -1, 0, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2989", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, -3, 0],\n [1, -2, -3, -3],\n [-4, 3, -1, -3],\n [2, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1046", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, 1, 0],\n [0, 4, 2, 1],\n [1, 2, -2, -2],\n [0, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1932", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, 4, -1],\n [-1, -4, 3, -1],\n [3, 1, -1, -3],\n [2, 1, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-230", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[0, 2, -2, 0],\n [2, 1, 3, 0],\n [-2, 3, 2, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[0, 3, 2, -4],\n [-1, 3, 4, -1],\n [2, -2, -3, 3],\n [1, 4, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, -3, -3],\n [3, 3, -4, 1],\n [-2, -4, 4, -4],\n [-4, -3, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21065", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -4, -4],\n [4, -1, 1, -3],\n [-4, 1, 1, 0],\n [-3, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1506", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[2, 3, 0, 3],\n [-1, 1, -1, 2],\n [2, 4, -1, -3],\n [1, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, 0, 4],\n [-2, -2, 0, 0],\n [0, 0, 1, 0],\n [4, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1313", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -2, -2],\n [-2, 2, 0, 2],\n [-2, 0, 3, 1],\n [-2, 2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "818", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, -3, -4],\n [2, -1, 3, -3],\n [-3, 2, -3, 2],\n [-2, -4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1570", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 4, 0, 4],\n [4, -4, 1, 2],\n [0, 1, 0, 2],\n [4, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13651", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, -3, -2],\n [-4, 3, -2, -2],\n [-3, -2, 1, 1],\n [-2, -2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12331", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -1, 0],\n [2, 0, 2, -3],\n [-1, 2, 4, -1],\n [0, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-1, -2, -2, -2],\n [-2, 2, 0, 0],\n [-2, 0, 4, -2],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[0, 0, 4, -1],\n [-2, 3, -3, 3],\n [1, 2, -2, 1],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[4, -1, 0, -1],\n [-4, 3, 2, 0],\n [4, 2, 1, 0],\n [1, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, 4, 3],\n [3, 3, 3, 3],\n [2, -1, 1, -1],\n [-3, -4, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-3, -1, -2, 2],\n [-2, 3, 2, 1],\n [-3, 2, 1, 0],\n [0, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 0, -2],\n [2, 2, -2, -2],\n [0, -2, 0, 1],\n [-2, -2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, -4, 0],\n [-2, -4, 2, -1],\n [4, 1, 0, -2],\n [-4, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "756", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 2, -4],\n [2, -2, 4, -4],\n [2, 4, -1, -2],\n [-4, -4, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18510", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -1, 0],\n [0, 1, 4, 0],\n [-1, 4, 1, -2],\n [0, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2686", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -2, -4],\n [0, 0, -2, -2],\n [-2, -2, -3, -4],\n [-4, -2, -4, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, -2, -4],\n [1, -2, 0, 4],\n [0, 3, -3, 2],\n [-2, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "636", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[0, 0, 4, 3],\n [-1, -4, 4, 1],\n [-4, -2, -4, 4],\n [-4, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-458", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, -4, 1],\n [1, 3, 3, 2],\n [1, -1, 0, -1],\n [4, 0, -2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, -3, 4, -4],\n [0, -1, -3, 2],\n [1, 1, 2, 3],\n [-4, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 1, 3],\n [0, 4, 2, 2],\n [4, -3, -3, -2],\n [0, 2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5162", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 3, 4],\n [-2, -4, 4, 2],\n [2, 0, -4, -4],\n [-1, -2, -1, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-760", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 3, 1],\n [1, -3, -1, 3],\n [-3, -3, -4, -3],\n [0, 3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "748", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, 0, -2],\n [-1, -2, 1, 0],\n [4, 3, -4, -4],\n [1, 1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7530", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 1, -4],\n [-1, -2, 2, -1],\n [1, 2, -4, 2],\n [-4, -1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11901", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -3, -3],\n [4, -2, -3, 4],\n [-2, -1, 1, 3],\n [-4, 2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 1, 0],\n [-2, -3, 0, 3],\n [1, 0, 1, 2],\n [0, 3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3158", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 2, 3],\n [-2, 2, 4, 2],\n [2, 4, -4, 1],\n [2, -2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1205", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -4, -2],\n [-2, -4, -4, -2],\n [-4, -4, -3, -2],\n [-2, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, -2, 0, -4],\n [-3, 3, 2, -4],\n [2, 2, -2, -1],\n [-3, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, 0, 2],\n [-1, -1, -2, 2],\n [0, -2, -2, 2],\n [2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -2, -4],\n [-4, 3, 1, 1],\n [2, -1, -4, 2],\n [4, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 1, 1],\n [2, 0, -2, 3],\n [1, -2, -2, 2],\n [1, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, 0, -3, -1],\n [3, 0, -2, 2],\n [-3, 0, -3, 1],\n [-2, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -2, 1],\n [-2, 2, 0, -2],\n [-2, 0, -2, -4],\n [1, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1254", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 3, 0],\n [-2, 1, 0, 0],\n [3, 0, -2, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -1, -2, 4],\n [-2, -2, 3, 0],\n [-4, -2, -3, -4],\n [-4, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2402", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, 2, 1],\n [-4, 0, -4, 4],\n [-3, 2, -4, -3],\n [1, 4, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-4, -2, 4, 3],\n [1, 3, 4, 0],\n [-4, 0, -1, 2],\n [3, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[1, -2, 4, -1],\n [-2, 0, -3, 2],\n [4, -3, 3, -2],\n [-1, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, -2, -3, -2],\n [-2, 4, 0, 2],\n [-3, 0, 1, -4],\n [-2, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -2, -2],\n [-2, 3, 0, -2],\n [-2, 0, 3, 1],\n [-2, -2, 1, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, -2, -1, 0],\n [0, -1, 4, -2],\n [2, 0, -2, -3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, 4],\n [-2, 1, 0, -2],\n [0, 0, 3, 0],\n [4, -2, 0, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-882", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 2, 0],\n [2, -1, 2, 0],\n [2, 2, 3, 1],\n [0, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-4, -2, -2, -2],\n [-2, 3, 0, -2],\n [-2, 0, 0, -2],\n [-2, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 1, -1, 1],\n [1, 3, -2, -4],\n [-1, 1, -4, 4],\n [0, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 2, -1],\n [0, 3, 2, -2],\n [2, 2, 0, -2],\n [-1, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1173", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -2, 0],\n [0, 2, 2, 0],\n [-2, 2, -4, -4],\n [0, 0, -4, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 4, -2],\n [0, 4, 0, -2],\n [4, 0, 1, -2],\n [-2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -2, 2],\n [2, 2, 2, -2],\n [-2, 2, 2, 2],\n [2, -2, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3149", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 4, -4],\n [-4, -2, 0, -1],\n [-4, 0, -4, 2],\n [-3, 4, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, -3, -4],\n [3, 1, 3, 0],\n [4, 1, -4, -1],\n [-2, -4, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2797", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0, -1],\n [0, 0, 0, 0],\n [0, 0, -3, 1],\n [-1, 0, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, 0, -1],\n [-2, 4, 4, 2],\n [1, -3, -4, 1],\n [3, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2119", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 4, -4, 4],\n [3, 4, 0, 0],\n [2, 1, 0, -3],\n [-1, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4092", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-2, 0, 3, 1],\n [1, -1, 2, 3],\n [-3, -1, 2, 3],\n [0, 3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[1, 0, -1, -3],\n [4, 4, 1, -3],\n [-3, -2, 4, 3],\n [4, -3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, 0, 0, 0],\n [0, 0, 1, -1],\n [0, 0, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 4, 4],\n [4, -4, -1, 3],\n [0, 2, -1, -2],\n [-4, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1024", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 0, -2],\n [-2, 4, 2, 0],\n [0, 2, 3, 2],\n [-2, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 0, -2],\n [2, 1, 0, 4],\n [0, 0, -4, 0],\n [-2, 4, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3010", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[3, 0, 0, 2],\n [0, -2, 1, 2],\n [0, 1, 1, 1],\n [2, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 1, 0],\n [-1, -1, -4, 3],\n [1, -4, -2, 2],\n [0, 3, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1579", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 4, 0],\n [2, -3, 4, 0],\n [-4, -1, 2, 1],\n [-1, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, -4, -3, -3],\n [-3, -4, 0, -3],\n [4, -1, 3, -4],\n [-3, 3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -2, -1],\n [0, 1, -1, 1],\n [-2, -1, 1, 0],\n [-1, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, 0, -3],\n [-2, 4, 2, 3],\n [-4, 0, 0, 3],\n [-3, -4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 0],\n [0, -3, 2, 0],\n [0, 2, 2, 0],\n [0, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, -1, 4, 2],\n [-2, 2, 0, 2],\n [-2, 3, 3, 1],\n [0, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, -1, -1],\n [-4, -3, 4, -3],\n [-2, 2, 2, 0],\n [-2, -4, -1, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2530", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -4, 3, 4],\n [-2, -3, 0, -3],\n [2, 4, 1, -4],\n [4, 2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-546", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, -2, 2],\n [-2, -4, -2, -1],\n [-2, -2, -2, 2],\n [2, -1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10327", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 4, 0],\n [-2, -4, 1, -2],\n [4, 1, -2, 1],\n [0, -2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-290", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 0, 3, 0],\n [3, -4, 3, 3],\n [-4, -4, 0, 4],\n [-3, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -2, -1],\n [0, -2, -1, 0],\n [3, -4, 2, -3],\n [0, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 2, -2],\n [0, -3, -1, -3],\n [2, -1, -3, 0],\n [-2, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[1, -2, 4, 1],\n [-2, 0, 1, 0],\n [4, 1, -1, 2],\n [1, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 4, 2, 0],\n [4, -4, 0, 2],\n [2, 0, 3, 0],\n [0, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, -2, 4, 2],\n [-4, 3, 4, 2],\n [-1, 2, 2, -1],\n [0, -4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, 2, -3, 0],\n [2, 0, -2, -1],\n [-3, -2, 1, 0],\n [0, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "313", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, 0, 0],\n [0, -1, 0, 0],\n [0, 0, -2, 1],\n [0, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "667", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -2, 2],\n [-2, -1, 3, 2],\n [-2, 3, -3, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1452", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 4, -2, -2],\n [4, 2, -2, 2],\n [-2, -2, 0, 2],\n [-2, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1280", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, -4, -4],\n [-2, 2, -4, 1],\n [-1, -1, 4, 0],\n [0, -3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1331", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[3, -3, 1, -2],\n [-3, -1, -2, 0],\n [1, -2, -3, 3],\n [-2, 0, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 2, 1, 0],\n [3, 0, 0, -1],\n [4, 0, 0, -3],\n [2, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1546", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, -3, 1],\n [-3, -3, 3, 2],\n [0, -4, 4, -2],\n [-2, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "788", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, -1, 0],\n [0, -1, 1, -4],\n [1, -3, -2, -3],\n [-3, 3, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3924", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, -2],\n [-2, -1, -1, -1],\n [0, -1, 3, 0],\n [-2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "742", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 3, 0, 1],\n [-4, 2, -3, -3],\n [0, -3, -4, -1],\n [3, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-425", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, -2, 3],\n [0, -2, -1, 1],\n [-2, -2, -3, -2],\n [-3, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2469", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -4, 4, 2],\n [-1, 0, 3, -4],\n [-2, 4, -2, -1],\n [0, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "657", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 2, -1],\n [0, -4, 1, -2],\n [2, 1, -3, -4],\n [-1, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7182", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -4, -3],\n [1, 0, -4, 1],\n [2, -2, -4, -4],\n [-2, -2, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1569", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 4, -3],\n [0, -3, 2, 2],\n [2, -2, 1, 1],\n [-2, 2, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1025", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[2, -2, 4, -3],\n [-2, -4, 4, -2],\n [-3, -4, 4, -1],\n [1, 1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, 2, 2],\n [0, -2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 4, -4, -4],\n [-4, 3, 2, 1],\n [2, 3, 2, 4],\n [0, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5316", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2, -2],\n [4, -2, 4, 0],\n [1, 2, -1, 2],\n [4, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 0, 0, 0],\n [0, 2, 0, -2],\n [0, 0, -3, 2],\n [0, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2079", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 4, -2],\n [3, 1, 1, -3],\n [-2, 1, -2, -1],\n [2, 0, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2, -2],\n [0, 4, -1, -1],\n [2, -1, 1, 4],\n [-2, -1, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1219", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, -2, 1, 0],\n [-2, 4, 0, 0],\n [1, 0, -1, 2],\n [0, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-4, -4, -2, 2],\n [2, -3, 2, 0],\n [-4, -1, 1, -4],\n [3, 1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, -2, 0],\n [-2, -2, 0, 2],\n [-2, 0, 3, 1],\n [0, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "785", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-4, 1, -2, 2],\n [1, 0, -2, -1],\n [-2, -2, 2, 3],\n [2, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "570", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, -2, -1],\n [0, 4, 2, 0],\n [-2, 2, 0, 0],\n [-1, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, -1, -3],\n [4, -4, 4, 3],\n [4, 3, -1, 1],\n [-4, -4, -2, 4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 2, -2],\n [2, 1, -2, 0],\n [2, -2, 2, -1],\n [-2, 0, -1, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 2, -4],\n [0, 1, 2, 2],\n [2, 2, -2, 2],\n [-4, 2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1328", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -3, 2, 0],\n [-3, 2, -1, -2],\n [2, -1, -1, -2],\n [0, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "545", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-1, 3, 2, -3],\n [-1, 1, 3, 1],\n [4, -1, -1, -1],\n [-4, 2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-1, 0, 0, -4],\n [0, 0, 2, -2],\n [0, 2, 0, 2],\n [-4, -2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -3, 3, -3],\n [-4, 2, 0, -1],\n [4, 2, 3, -2],\n [1, -3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5559", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -2, -2, 4],\n [4, 0, 0, 0],\n [-1, -1, 1, 3],\n [0, -4, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2420", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 0],\n [2, 3, 0, 2],\n [-2, 0, -3, -3],\n [0, 2, -3, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, 4, 4],\n [2, -2, 1, 3],\n [-4, 4, -3, 1],\n [-1, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "865", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 4, -1],\n [4, 3, 3, -2],\n [-4, -3, -3, -3],\n [0, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1784", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, -4, -1],\n [-3, 2, -2, 3],\n [4, -2, -2, -3],\n [-3, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[2, -3, -2, 1],\n [4, 3, 3, -2],\n [4, 0, 0, -1],\n [2, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -4, 4, 2],\n [-1, 2, -3, -4],\n [4, 4, 0, 0],\n [1, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "848", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 1, -2],\n [2, 3, 0, 0],\n [1, 0, -1, 0],\n [-2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1906", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 0, 0],\n [3, -2, 2, 0],\n [0, 2, 2, 3],\n [0, 0, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, -4, 2],\n [-1, -1, -1, 2],\n [0, 0, 3, -2],\n [0, -1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[2, -3, -2, 2],\n [1, -1, -4, 1],\n [-4, 3, 0, 3],\n [0, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 0, 2],\n [0, 2, 3, 0],\n [0, 3, -1, -1],\n [2, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[3, 0, 2, 4],\n [3, 3, 3, -3],\n [-4, 2, -2, 3],\n [-1, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 2, 0, -2],\n [2, -3, 2, -2],\n [0, 2, -1, -3],\n [-2, -2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, 2, 1],\n [-1, -4, 1, 0],\n [-1, 2, 3, -3],\n [4, 4, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3409", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 2, 0],\n [0, 0, -2, 2],\n [2, -2, -2, 0],\n [0, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[2, 3, 3, 2],\n [-2, -3, 3, 2],\n [-3, 3, 4, 3],\n [0, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 4, -4, 3],\n [2, 0, -3, -1],\n [0, 3, 3, -4],\n [-1, -4, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "544", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 4, -2],\n [-1, 4, -4, -2],\n [0, 4, 4, 4],\n [3, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6637", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, -2, -3, -3],\n [4, -3, 1, -1],\n [-4, -4, 1, -1],\n [1, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "534", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -2, 0],\n [0, -1, 1, 0],\n [-2, 1, 3, 4],\n [0, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6389", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, -2, 1],\n [2, -2, 1, -3],\n [3, 1, -1, 1],\n [2, -4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1280", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -2, -2],\n [0, -1, 0, 0],\n [-2, 0, 1, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, -2, 2, 3],\n [-2, 2, 0, -2],\n [2, 0, -1, 2],\n [3, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -1, 1],\n [-3, 2, -1, 4],\n [-3, -1, -2, 1],\n [2, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1583", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 4, 2, 4],\n [0, -4, -2, 1],\n [-1, 2, 2, 2],\n [-2, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 2, -3],\n [1, 2, 4, 1],\n [3, 1, 2, 2],\n [0, 0, -2, 4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, -3, -4],\n [-3, -3, 4, 1],\n [-3, 1, -3, -1],\n [-4, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1761", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, -2, 0],\n [-1, -2, -2, 1],\n [-2, -2, -4, -2],\n [0, 1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "722", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 4, -1],\n [3, -3, 3, 1],\n [1, -3, -1, -3],\n [1, -2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "758", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 0, -2],\n [-3, 0, 0, 0],\n [0, 0, -3, -1],\n [-2, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-384", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -2, -2],\n [0, -4, -3, 2],\n [-2, -3, 0, 2],\n [-2, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1310", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 3, 2, 0],\n [3, -1, 2, -1],\n [2, 2, 3, 0],\n [0, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -2, 2],\n [0, -3, 2, 0],\n [-2, 2, -3, -3],\n [2, 0, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "900", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -4, 1],\n [0, 3, -1, -2],\n [-4, -1, 3, -1],\n [1, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2687", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, -2, 1],\n [4, -2, 3, -2],\n [-2, 3, 1, 0],\n [1, -2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "383", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, -3, 0],\n [0, 2, 0, 0],\n [-3, 0, 4, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "782", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 1, -3, 0],\n [-4, -2, 0, -3],\n [-3, -2, -2, 3],\n [-1, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1000", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 3, 3, -4],\n [1, -4, -4, 1],\n [-1, -4, 4, 0],\n [4, 4, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "452", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 3, -3],\n [-3, 3, 4, -3],\n [4, 4, 2, -3],\n [2, 4, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "576", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, 4, -3],\n [1, -1, 3, 0],\n [1, 2, 2, -2],\n [3, 0, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 4, 3],\n [4, 2, 2, 4],\n [4, 2, -2, -2],\n [3, 4, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37990", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, -4, 0],\n [-1, 2, 2, 1],\n [-4, 2, 0, 0],\n [0, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "916", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, -4, 2],\n [1, -1, 2, 3],\n [-1, 3, -3, 2],\n [3, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, 0, -3],\n [3, 4, -2, -2],\n [0, -2, 3, 0],\n [-3, -2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3916", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 3, -2, 0],\n [3, 2, -2, -1],\n [-2, -2, 3, 4],\n [0, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -3, 2, -2],\n [0, 0, -2, -1],\n [-2, -4, 3, 0],\n [-1, -2, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 3, 1],\n [-1, 2, -1, 4],\n [-4, -3, 0, 4],\n [4, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6619", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[3, -2, 0, -1],\n [-2, 1, 2, -2],\n [0, 2, 4, -1],\n [-1, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, -2, 3],\n [-3, -4, 1, -2],\n [3, 2, -3, -1],\n [1, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 0, 2],\n [2, -3, 0, -2],\n [0, 0, 3, 0],\n [2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "693", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, 3, -4],\n [1, 1, 0, 0],\n [-3, 3, -3, -2],\n [1, -4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 0, -2],\n [-2, -1, 0, 0],\n [0, 0, 1, -2],\n [-2, 0, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1307", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -1, -2],\n [-1, -3, -2, -2],\n [-1, -2, 1, 0],\n [-2, -2, 0, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, -2],\n [0, 0, 2, 0],\n [0, 2, 4, -2],\n [-2, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, 0, 0],\n [2, -4, 0, 1],\n [0, 0, 4, -4],\n [0, 1, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "798", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 4, 0],\n [-3, 0, 2, -4],\n [-1, -4, 4, 1],\n [-3, 3, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "518", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -1, -4, -4],\n [2, 1, -2, 2],\n [-2, 4, 3, -1],\n [4, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1126", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 3, 1],\n [-1, -3, 0, 4],\n [-1, -1, -4, -3],\n [2, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 2, -1],\n [-1, -1, 2, -2],\n [2, 2, 3, 4],\n [-1, -2, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5167", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, -2, -1],\n [2, -2, -2, 1],\n [1, 0, -1, 2],\n [4, 2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -1, 1, 1],\n [4, 1, -2, 2],\n [-4, 3, 3, 2],\n [-4, -3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-251", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-2, -2, -4, -2],\n [-2, -2, 2, -2],\n [1, 4, 2, -4],\n [-3, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, 4, 1],\n [1, -4, -3, -1],\n [3, 4, -2, -3],\n [2, 3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6819", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[4, -1, 2, -2],\n [-1, -4, -2, -2],\n [2, -2, 4, -4],\n [-2, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 3, 0],\n [-2, -4, 2, -4],\n [3, 2, 4, 0],\n [0, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1902", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 1, -1],\n [4, 4, 1, 1],\n [-2, -4, 4, 2],\n [4, -2, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "991", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, 1],\n [-1, 2, -2, 4],\n [2, 2, 1, 4],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -3, -2],\n [0, 2, 0, 0],\n [-3, 0, 2, 0],\n [-2, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "668", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -3, -3],\n [2, -1, 3, 0],\n [-3, 3, 0, 1],\n [-3, 0, 1, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, 2, -3, -2],\n [2, 0, 2, 0],\n [-3, 2, 1, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 4, 3, -1],\n [-4, 4, -4, 4],\n [0, 4, 1, -3],\n [-1, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-366", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 4, 4],\n [4, -3, -3, -4],\n [-3, 1, -2, -4],\n [4, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6627", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, 4, -2],\n [-2, 2, 0, 2],\n [4, 0, 4, 0],\n [-2, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3898", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 2, -2],\n [0, 0, 3, 0],\n [2, 3, -2, -2],\n [-2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "772", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 2, -1, -1],\n [2, -1, 3, -2],\n [-1, 3, -2, -2],\n [-1, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "958", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, -2, 4],\n [-2, 1, 2, -4],\n [0, -2, -4, -2],\n [2, 4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-339", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, 1, 3],\n [-4, -2, -1, -2],\n [2, 4, -1, -2],\n [-3, 4, 2, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-436", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[0, -1, -2, 0],\n [-1, 3, 2, 2],\n [-2, 2, 0, 1],\n [0, 2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[2, -4, 2, 2],\n [2, -1, 0, 1],\n [3, 4, -1, -1],\n [-3, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, -1, -3],\n [-4, -3, 4, -2],\n [1, 1, 0, -2],\n [-3, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1668", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, 2, -4],\n [3, 4, 3, -3],\n [3, -1, -4, 2],\n [2, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -2, 0],\n [0, -1, 0, 2],\n [-2, 0, 2, 3],\n [0, 2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4394", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-2, -2, -1, -4],\n [-3, 3, -4, -1],\n [3, -4, -2, 1],\n [-3, -1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, 4, -4],\n [-3, -4, 4, 4],\n [-3, 0, 1, 0],\n [1, -3, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "274", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 0, 0],\n [0, -2, -1, 0],\n [0, -1, -4, 3],\n [0, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "385", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 4, 0],\n [0, 1, -4, -1],\n [4, -4, 1, 2],\n [0, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9261", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-4, -1, -3, 3],\n [3, -3, -2, 0],\n [1, 4, 1, 2],\n [-4, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 2, -2],\n [-2, -3, 2, 0],\n [2, 2, 1, 2],\n [-2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 3, 1, 2],\n [3, -2, 1, 0],\n [1, 1, 0, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "536", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[4, 4, -3, 0],\n [-2, -3, 1, -4],\n [2, 4, -4, -1],\n [-3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 2, -2],\n [0, 0, -4, -4],\n [2, -4, -4, 3],\n [-2, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8210", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 0, 0],\n [2, -2, 2, 0],\n [0, 2, 0, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, 2, 1],\n [-2, 4, -4, -4],\n [-4, -3, -3, 0],\n [1, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1753", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -1, -2],\n [-1, -4, -3, 0],\n [-1, -3, -2, -1],\n [-2, 0, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-933", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, 2, -3, -1],\n [-4, -2, 0, -3],\n [-2, -2, 2, -2],\n [-2, 4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0, -1],\n [0, -2, 0, -3],\n [0, 0, -2, 0],\n [-1, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 2, 0],\n [-2, 2, 1, 3],\n [2, 1, 2, 0],\n [0, 3, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2237", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, 0],\n [0, -4, 0, 2],\n [-2, 0, -1, -2],\n [0, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2265", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 1, -2],\n [0, 3, 2, 0],\n [1, 2, -2, 3],\n [-2, 0, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "565", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[4, 0, 1, -2],\n [0, 1, -4, 1],\n [1, -4, -4, -2],\n [-2, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 2, 2],\n [2, 1, 2, 2],\n [2, 2, -2, 0],\n [2, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "664", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-1, 3, -2, 2],\n [3, 2, 1, 0],\n [-2, 1, 3, -2],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "450", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, -2],\n [0, -2, 2, -2],\n [0, 2, -2, 0],\n [-2, -2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1469", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[3, 4, 0, -2],\n [4, -3, -2, -2],\n [0, -2, -1, 2],\n [-2, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, -3, -3, -1],\n [-3, 4, -2, 2],\n [-3, -2, 1, -2],\n [-1, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, -3],\n [0, 3, -2, -3],\n [0, -2, 0, 0],\n [-3, -3, 0, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-210", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, 0, -1],\n [-2, 4, 0, 3],\n [0, 0, -1, 0],\n [-1, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7771", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 1, 0],\n [0, 4, 1, 0],\n [1, 1, -4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 2],\n [-2, -1, 1, 0],\n [2, 1, 1, -4],\n [2, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "874", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 3, -2],\n [-4, -2, -1, -3],\n [2, -3, 0, 0],\n [1, -1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4359", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, 1, 4],\n [-1, -1, 0, -3],\n [-2, 2, -1, 1],\n [1, -4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "562", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 3, 1],\n [-3, 0, 3, -4],\n [1, 0, 1, -4],\n [1, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, 0, 2],\n [2, -2, -1, 2],\n [0, -1, 4, -3],\n [2, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "914", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, 3, -2, 4],\n [0, 4, 4, -2],\n [1, -2, -4, -4],\n [-4, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, 3, 2],\n [-1, -4, 2, 2],\n [-2, 4, -4, -4],\n [-2, -4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "898", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 0, 0, -2],\n [0, 4, 0, 0],\n [0, 0, 1, 0],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 2],\n [0, 3, -1, 0],\n [0, -1, -4, 0],\n [2, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[4, 1, 2, 1],\n [-4, -2, 3, -1],\n [-2, 1, -2, 3],\n [2, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, -3, -3],\n [-1, 2, -3, -4],\n [-1, 3, -2, 2],\n [4, -3, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, 0, -3],\n [-4, 3, -2, -3],\n [0, -2, 2, 3],\n [-4, 1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, -4, -4],\n [4, -3, 1, -3],\n [-3, 2, -4, 0],\n [-2, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11898", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 4, 2, 2],\n [4, 1, -2, 0],\n [2, -2, 0, -2],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5141", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 2, 0],\n [0, -3, 3, 2],\n [2, 3, 4, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "689", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[2, 3, 3, 1],\n [1, 2, 1, 0],\n [1, -3, -4, -4],\n [-1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, -2, -2],\n [-1, 4, 0, 0],\n [-2, 0, 3, 0],\n [-2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "631", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[2, -4, -2, -1],\n [-1, -3, 3, -4],\n [-2, -2, 2, 0],\n [2, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 3, 4, -4],\n [2, 0, -1, -4],\n [0, 3, 3, -4],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-4, -1, 2, 0],\n [-1, -2, 2, 2],\n [2, 2, 3, 0],\n [0, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, 2],\n [-3, -4, 2, -2],\n [0, 2, -2, -2],\n [2, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1060", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -4, 2],\n [1, 0, 0, 0],\n [2, 1, 4, -4],\n [2, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1586", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -4, -4, 4],\n [0, -3, 3, 4],\n [1, -2, -1, 2],\n [0, -4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 3, 3, -1],\n [3, -2, 0, 0],\n [3, 0, -2, -1],\n [-1, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2649", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0, 0],\n [-2, 0, -2, 0],\n [0, -2, 0, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "870", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, -4, 1],\n [1, -3, 2, 1],\n [-2, 2, 0, 0],\n [-2, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5034", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, 1, 0],\n [-1, 4, 1, 0],\n [1, 1, 2, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -3, 1, 3],\n [-1, 4, 1, -2],\n [2, 0, 1, -4],\n [-1, 4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "926", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -1, 2],\n [0, 4, 1, 0],\n [-1, 1, -2, -4],\n [2, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5741", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 3, 3, -1],\n [2, -1, 0, 4],\n [-3, 1, -2, -1],\n [4, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5776", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0, -2],\n [4, 0, -4, 3],\n [3, -4, 3, 2],\n [1, 1, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 1, 1, -1],\n [3, -1, -1, -2],\n [4, 4, -1, 3],\n [-1, -1, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "840", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, 3, -2, -1],\n [3, -1, -1, -2],\n [-2, -1, 1, 4],\n [-1, -2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-514", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -2, 3],\n [-1, 2, 4, 1],\n [0, 2, -4, -3],\n [-2, 3, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2036", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, -3, 0],\n [1, 4, -1, 0],\n [-3, -1, -1, -1],\n [0, 0, -1, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[4, 0, 4, 0],\n [0, 4, -4, -2],\n [4, -4, 4, -2],\n [0, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "336", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 4, 1],\n [2, -4, 0, 2],\n [4, 0, 2, 0],\n [1, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 3, 0, 0],\n [3, 1, 1, 0],\n [0, 1, 3, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "565", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, -2, 0],\n [0, -2, -2, 4],\n [-1, -4, -2, -1],\n [-2, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -4, 0],\n [1, -2, 0, -4],\n [1, 3, 0, 3],\n [1, 4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0, 1],\n [-2, 2, 2, -2],\n [0, 2, -2, 0],\n [1, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "546", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2, 3],\n [-4, -4, 1, 1],\n [-1, 0, 1, -4],\n [3, -4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 0, 4],\n [-2, 2, 0, 0],\n [-1, 4, -1, 1],\n [3, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "606", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 1, 2],\n [2, -3, -2, 0],\n [1, -2, 4, 0],\n [2, 0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-1, 4, 4, 4],\n [-1, -1, 2, -1],\n [-3, -3, 0, 0],\n [1, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, 0, -4, -2],\n [-1, 0, 0, -1],\n [-4, -3, 3, 0],\n [-1, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, -2, 1],\n [-3, -3, -4, -2],\n [2, -4, -4, 2],\n [-4, -3, -2, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 1, 0],\n [4, -2, 2, -2],\n [1, 2, 2, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8686", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 1, -2],\n [0, -3, 0, 0],\n [1, 0, -2, 1],\n [-2, 0, 1, 0]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 1, 4, 1],\n [-1, -2, -2, -2],\n [3, -2, 0, 4],\n [0, 2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4327", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -4, -2, -2],\n [-4, -1, -2, 0],\n [-2, -2, 1, 0],\n [-2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-993", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -4, 2],\n [2, -4, 0, 2],\n [-4, 0, 0, 2],\n [2, 2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1067", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -3, -1, 2],\n [4, -3, -3, -4],\n [-1, 0, 3, 0],\n [-3, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, -4, 1, -1],\n [-4, -4, -4, -4],\n [2, 1, 0, 0],\n [4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "824", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, -2, 2],\n [1, 1, -3, 3],\n [0, -3, -2, 3],\n [-4, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -3, 4, -3],\n [-2, -4, 4, -2],\n [0, -1, -1, -4],\n [0, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6417", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, 1, -1],\n [-1, 3, -1, 0],\n [1, -1, -4, -1],\n [-1, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 2, -2, -4],\n [-2, -2, -3, 1],\n [-4, -3, 1, -4],\n [3, 1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4003", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, -2, 2, -4],\n [1, -3, 0, -1],\n [-3, 3, -3, -2],\n [-3, -1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 1, -3],\n [3, -4, 2, 4],\n [2, -4, 3, 4],\n [0, -2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1981", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, 3, 2],\n [-4, 2, 0, -4],\n [-3, -2, 2, -2],\n [1, 2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "774", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -3],\n [3, -2, -4, 3],\n [-2, 0, -4, -1],\n [4, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "920", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 0, -2],\n [3, 0, -2, 2],\n [4, 4, -3, 2],\n [1, -4, -1, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, 0, -1],\n [4, 4, -1, 2],\n [0, -1, -1, 2],\n [-1, 2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1022", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2, -2],\n [2, 0, -1, 0],\n [2, -1, 2, -2],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, 2, 0],\n [-4, -2, -2, -3],\n [2, 2, 2, 3],\n [-4, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2049", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 4, -2],\n [0, -4, -2, 0],\n [4, -2, 0, 2],\n [-2, 0, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2581", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, 0, 0],\n [-4, -2, 2, 2],\n [-2, 4, -1, 4],\n [-4, -4, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1238", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 0, 2],\n [-2, 1, -1, -4],\n [1, -2, -2, -3],\n [2, -2, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11266", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, 0, 2],\n [2, 0, -4, 2],\n [0, -4, 0, 2],\n [2, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5606", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 2, 0],\n [0, 0, 2, -2],\n [2, 2, 1, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -2, -2],\n [0, 1, 3, -4],\n [-2, 3, 3, 2],\n [-2, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11016", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-2, -1, 2, 0],\n [1, -1, -1, 3],\n [-1, -2, 4, 2],\n [2, -4, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, -2, -1],\n [2, 2, 0, 0],\n [-2, 0, -1, -4],\n [-1, 0, -4, 1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "453", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, -1],\n [-3, 3, 4, -2],\n [-1, -4, -1, -4],\n [-2, 4, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "722", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, -2, -1, -4],\n [3, 3, 4, -3],\n [4, -2, -2, 1],\n [0, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 2, -2],\n [2, -1, 0, -1],\n [2, 0, -3, 2],\n [-2, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "703", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, 2, 0],\n [0, 0, 0, -4],\n [2, 0, 0, 1],\n [0, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2346", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -4, -3],\n [-3, 4, 0, 2],\n [-4, 4, -1, -3],\n [0, 3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1083", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 3, 3],\n [-3, -4, 1, -3],\n [3, 0, -3, 4],\n [-3, 0, 3, 4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 2, 3],\n [0, -1, -3, -3],\n [1, 1, 0, 4],\n [-2, -1, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "289", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -4, 0],\n [1, -1, 1, -3],\n [-2, -2, 1, 2],\n [-2, -1, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 4, 3, -1],\n [2, -2, 1, -2],\n [4, 3, 0, 2],\n [3, -4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3484", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 4, 2, 1],\n [4, 0, 0, -4],\n [2, 0, 3, 3],\n [1, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10220", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 2, 3],\n [1, 0, -1, 3],\n [1, -3, -4, 4],\n [-4, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4632", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 1, 2],\n [1, 0, 2, -2],\n [1, 2, -1, -3],\n [2, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-264", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -4, -1, -1],\n [-3, 1, -2, 1],\n [-2, -1, 3, 1],\n [0, -3, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-224", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-2, 0, -2, 0],\n [0, -4, 0, 1],\n [-2, 0, 0, 0],\n [0, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, 0, 2],\n [-1, -4, -2, -1],\n [0, -2, 0, 1],\n [2, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -3, -2, 3],\n [-3, 1, -2, -1],\n [0, -1, 0, 0],\n [3, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -2, 3, 0],\n [-3, -3, 0, -3],\n [0, -3, 3, 0],\n [4, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5702", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[3, 2, 1, -1],\n [2, 3, 0, 0],\n [1, 0, 2, -1],\n [-1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[4, -4, -2, 0],\n [-2, 0, 3, 1],\n [4, -4, -4, -3],\n [3, -2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[0, 0, -4, -4],\n [2, -1, 2, -3],\n [2, -3, 0, -3],\n [2, -2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, 0, 0],\n [2, -4, 3, -2],\n [0, 3, -3, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, -2, 1],\n [3, 1, 0, -2],\n [4, -3, -3, -1],\n [3, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "622", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-1, 0, -2, 3],\n [1, 3, 2, 1],\n [4, -2, -3, -3],\n [1, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 2, -2],\n [0, 0, -2, 1],\n [2, -2, -4, 0],\n [-2, 1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "770", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, -1, 0, -1],\n [-3, -2, 4, -4],\n [3, -1, 2, 1],\n [1, 4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 0, -3],\n [3, -2, 1, 4],\n [-3, 2, 2, 3],\n [4, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[1, 1, -2, 0],\n [1, -4, -2, 2],\n [-2, -2, 1, 2],\n [0, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -1, 3, 0],\n [0, -1, 2, -4],\n [1, -4, -3, -3],\n [2, 1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1962", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -4, 4, -3],\n [-1, 3, 3, -2],\n [-2, 4, 1, -3],\n [-4, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -3, 2],\n [2, -1, 0, -1],\n [-3, 0, 3, 2],\n [2, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "330", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -4, 0],\n [-4, -4, -4, -4],\n [-2, 2, 2, 2],\n [0, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1601", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, 0, -1, -2],\n [-2, -1, 2, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "903", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, -3, 2],\n [0, -4, 4, 3],\n [-3, 1, -3, 3],\n [0, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1585", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 2, -1],\n [1, -1, -3, 3],\n [0, -2, 2, 3],\n [1, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 1, 3],\n [3, 4, 3, -3],\n [-1, -3, 4, -4],\n [3, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4447", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, 1, 0],\n [2, -3, -2, 0],\n [1, -2, -1, -4],\n [0, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, -4, -3],\n [0, 1, 0, -3],\n [2, -2, 0, -2],\n [-2, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, 1, -2],\n [1, 3, 2, -4],\n [3, 1, 3, 1],\n [2, -1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10874", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 3, -2],\n [-2, 4, -1, 3],\n [3, -1, -4, 0],\n [-2, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1460", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 2, 1],\n [0, -4, 0, 0],\n [2, 0, -4, 0],\n [1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 2, 4],\n [2, 2, 0, -2],\n [-3, 4, 3, -2],\n [-2, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "488", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-2, 2, -2, -2],\n [2, 1, 2, -1],\n [-2, 2, -2, 0],\n [-2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -3, 2, -2],\n [-3, -3, -4, 2],\n [2, -4, -1, 4],\n [-2, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17886", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 1],\n [0, 2, -1, 2],\n [2, -1, 4, -2],\n [1, 2, -2, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "325", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 0, -2],\n [2, 1, -2, 2],\n [0, -2, -2, 4],\n [-2, 2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20205", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -3, 4],\n [2, -4, 3, 0],\n [2, 4, 2, 2],\n [-4, 2, 1, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "372", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0, 0],\n [-2, 0, -3, 0],\n [0, -3, 4, -2],\n [0, 0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, 4, -2],\n [1, 4, 2, -1],\n [4, 2, -4, 0],\n [-2, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 4, -4, -3],\n [-1, 2, 4, -2],\n [1, 3, -2, 3],\n [4, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "780", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 1, 4],\n [1, -4, 0, -2],\n [4, 1, -3, -2],\n [-1, 2, 4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4192", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-1, -2, -2, 0],\n [-2, -3, 2, -2],\n [-2, 2, 0, -1],\n [0, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -4, 0, 4],\n [1, -2, -3, 2],\n [3, 3, 4, 2],\n [-3, 1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "871", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -1, -2],\n [2, 2, -4, 2],\n [-1, -4, 4, 0],\n [-2, 2, 0, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 0, -1],\n [0, -1, 2, -4],\n [2, -1, 2, -2],\n [-4, -1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "654", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, -4, 1],\n [-1, -2, 1, 4],\n [-3, -4, -4, -2],\n [2, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4449", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 2, 2, -2],\n [2, 4, 1, 0],\n [2, 1, 1, 4],\n [-2, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 0, 4],\n [4, -4, 1, 1],\n [2, 4, 4, -1],\n [-3, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "720", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 2, 0],\n [0, 2, 1, -4],\n [2, 1, -3, 0],\n [0, -4, 0, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -2, 2],\n [0, 0, -2, 0],\n [-2, -2, 3, 1],\n [2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1481", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[-1, 1, 1, -1],\n [-1, 0, 4, -2],\n [0, 1, 2, 2],\n [2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, 4, 2],\n [-2, 2, -2, -2],\n [4, -2, 2, -1],\n [2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "661", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 1, -3, 0],\n [1, 4, -1, 0],\n [-3, -1, 0, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -4, 1, -2],\n [2, 0, 4, 2],\n [-1, -3, 2, 4],\n [3, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-419", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 2, 2],\n [0, 3, 0, 2],\n [-2, 4, -3, -4],\n [3, -2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -2, -4],\n [0, 0, -1, -2],\n [-3, 0, 4, 0],\n [-4, -1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "920", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, 4, 0],\n [-1, -1, 2, -1],\n [4, 2, 4, -2],\n [0, -1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6219", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[0, 3, -1, 4],\n [0, 3, -2, -2],\n [3, 1, 2, -4],\n [-1, 1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 2, -2],\n [2, 4, -2, 0],\n [2, -2, -3, -1],\n [-2, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 4, -1],\n [-2, 3, 2, -1],\n [4, 2, 1, 0],\n [-1, -1, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[1, -2, -1, -2],\n [0, 0, -1, 1],\n [0, 2, 1, -2],\n [-3, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 0, -3],\n [-2, 3, -3, 0],\n [-3, 4, -4, 2],\n [0, -2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "361", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, 0, -2],\n [-2, 4, -3, -1],\n [0, -3, 1, 0],\n [-2, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "884", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -3, -2],\n [0, -2, 0, -2],\n [-3, 0, 0, 0],\n [-2, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-3, 0, 2, 3],\n [0, -3, 0, 0],\n [2, 0, 2, -4],\n [3, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "944", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 0, 4],\n [0, 4, 2, 0],\n [0, 2, 1, 3],\n [-4, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "536", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -4, -3, -3],\n [4, -4, -3, 2],\n [4, 0, -2, -4],\n [-4, -3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1990", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, -3, -1],\n [-3, 2, 1, 2],\n [1, 4, 4, -4],\n [3, -2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3678", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -4, -4, -2],\n [-4, -3, 0, -1],\n [1, -1, 4, 3],\n [-4, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -3, -4, 0],\n [-4, 3, 4, 3],\n [2, 4, -1, -1],\n [-3, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2732", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -4, 1, 2],\n [-1, 0, -3, 0],\n [0, 3, 0, 3],\n [2, 1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "974", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[4, -2, 2, -4],\n [-2, -4, -1, -2],\n [2, -1, 1, -3],\n [-4, -2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "275", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 2, -2],\n [-2, -4, -4, -2],\n [2, -4, 4, 1],\n [-2, -2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1332", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, -4, 0],\n [-2, 4, -1, 0],\n [-2, -1, 1, -2],\n [1, -3, 3, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -2, 2],\n [-2, -3, 2, -1],\n [-2, 2, -3, -1],\n [2, -1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "495", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, -4, 1],\n [-2, 0, 2, 1],\n [-4, 2, 2, 1],\n [1, 1, 1, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1026", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[1, 2, 0, 4],\n [2, 2, 2, -2],\n [0, 2, -2, 1],\n [4, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-452", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-4, 3, -4, -4],\n [3, 0, 4, 4],\n [2, -3, 1, -3],\n [-1, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, 0, 2],\n [-2, -3, 0, 1],\n [0, 0, 1, 0],\n [2, 1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2242", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-2, 0, 1, -3],\n [1, -3, 4, 3],\n [4, -3, -3, -3],\n [3, 0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [2, 3, -2, 0],\n [0, -2, 1, -3],\n [0, 0, -3, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, -1, 2],\n [2, -1, 0, 0],\n [-1, 0, 4, 1],\n [2, 0, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2201", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -2, 0, 0],\n [-2, -1, -1, 1],\n [0, -1, 4, -2],\n [0, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 0, 3],\n [-4, 2, 2, -1],\n [0, 2, -3, 2],\n [3, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 0, 4],\n [0, -4, -2, -2],\n [2, -4, 2, 1],\n [4, 4, 2, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, -1, -2],\n [2, 3, 4, -3],\n [-1, 4, 4, 0],\n [-2, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1788", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, -2, 4, -1],\n [0, 2, 0, -4],\n [0, 4, 2, 2],\n [0, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[3, 2, 2, -1],\n [-1, -4, -1, -2],\n [0, -4, -1, 1],\n [0, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 4, -1, 1],\n [-1, 3, -3, 4],\n [-3, 2, 4, 4],\n [0, 2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1570", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 2, 0],\n [2, 0, 1, 4],\n [2, 1, 2, -1],\n [0, 4, -1, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "830", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 4, -2],\n [3, -2, -3, 3],\n [4, -3, 3, 0],\n [-2, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13307", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 2],\n [0, -2, 2, -3],\n [0, 2, 3, -3],\n [2, -3, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8586", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 2, -1],\n [1, 2, 0, 2],\n [2, 0, 1, -4],\n [-1, 2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1440", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 2, 0, -4],\n [2, 1, -1, -4],\n [0, -1, -1, 2],\n [-4, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -3, -1, -3],\n [1, 4, 1, 4],\n [-3, -3, 4, -2],\n [-4, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4819", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 0, 0, 2],\n [0, 3, -2, -4],\n [0, -2, 2, 2],\n [2, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "525", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, 3, 4],\n [3, 4, 0, -2],\n [3, 0, -1, 2],\n [4, -2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20778", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 3, 1],\n [3, 2, 3, -1],\n [2, -2, 2, -1],\n [0, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1188", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[3, 1, 1, -4],\n [4, -1, 0, 2],\n [-1, -4, 1, -3],\n [4, 2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 0, 0],\n [-2, -2, 0, -1],\n [0, 0, -3, -2],\n [0, -1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, 2, -2, 1],\n [2, -4, 0, 3],\n [-2, 0, -1, -3],\n [1, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-600", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0, 4],\n [1, 1, -1, -4],\n [2, 1, 3, -1],\n [3, 1, 2, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, 0, -1, -2],\n [0, 1, 4, -3],\n [-1, 4, 1, 1],\n [-2, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, 1, 3],\n [3, -4, 3, 0],\n [1, 3, -2, -3],\n [3, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1356", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, -3, -2],\n [3, 1, 1, -1],\n [0, 0, 1, -2],\n [-3, 1, 1, 4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, -2],\n [0, 1, 2, -2],\n [-2, 2, 4, -2],\n [-2, -2, -2, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1044", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, 0, 0, 1],\n [-1, -2, 3, -2],\n [4, -1, -2, 4],\n [2, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 2, 3],\n [0, 3, 1, -2],\n [2, 1, 1, 0],\n [3, -2, 0, 2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -3, 0],\n [-1, 3, 2, -2],\n [-3, 2, 4, -2],\n [0, -2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17943", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -1, 2, -2],\n [-1, 2, -2, -2],\n [2, -2, -1, 0],\n [-2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-1, -3, 1, 0],\n [-3, 2, 2, 0],\n [1, 2, 0, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-3, 0, -2, 4],\n [-3, 0, 0, 0],\n [1, 0, 0, 1],\n [2, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -4, 2, 3],\n [4, -3, -2, -2],\n [4, 3, -2, 2],\n [1, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7148", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, 2, 0, -1],\n [0, 0, 0, 0],\n [2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "474", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, -3, 0],\n [-3, 4, 2, 0],\n [-1, -3, 4, -2],\n [1, 1, -3, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "437", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 3, -2, 3],\n [2, -1, -4, 2],\n [1, -3, 2, -1],\n [3, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4469", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, 4, 3],\n [-4, 4, 0, -1],\n [3, -4, 0, 3],\n [2, 4, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2273", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[4, -3, 4, -2],\n [-1, 0, 3, -4],\n [4, 0, 1, -2],\n [2, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2, -1],\n [0, 1, 2, 2],\n [2, 2, 3, -1],\n [-1, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, 2, 0],\n [-4, 0, -2, 1],\n [2, -2, 2, -2],\n [0, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "647", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, 0, 2],\n [3, 3, -4, 0],\n [-1, -1, 1, -2],\n [-4, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "888", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-1, 0, 0, 0],\n [0, 4, -1, -2],\n [0, -1, -1, 1],\n [0, -2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 3],\n [0, 3, 2, 0],\n [-2, 2, -2, 2],\n [3, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "837", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 1, -2, -3],\n [2, 0, 3, 2],\n [2, -2, 3, -2],\n [3, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, 3, -3],\n [2, 3, -3, 1],\n [3, -3, -3, -2],\n [-2, 3, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10591", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, 1, 2, 1],\n [1, 0, -1, -3],\n [2, -1, -2, 2],\n [1, -3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[2, 2, -1, 0],\n [-2, 3, -3, -4],\n [2, -3, -4, -3],\n [3, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2185", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, -1, 2],\n [2, 0, 2, 0],\n [-1, 2, 4, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1922", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, 2],\n [2, 4, -2, -1],\n [0, -2, 3, -4],\n [2, -1, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13155", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 3, -4],\n [1, -1, 1, 4],\n [3, 0, 0, 4],\n [4, -4, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, -3, 3, -3],\n [-4, -4, 1, 0],\n [-4, -4, -3, 3],\n [1, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[3, 2, -3, 0],\n [2, -1, 4, 2],\n [-3, 4, -1, -2],\n [0, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[1, -4, 2, 0],\n [-2, 1, 3, -4],\n [0, 3, 0, 0],\n [1, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -4, 2, 1],\n [0, -2, -3, 1],\n [4, -4, 0, 4],\n [1, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, 0, 2, 0],\n [0, 1, 0, -2],\n [2, 0, 2, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "336", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 2, -2, 0],\n [1, 1, 1, 4],\n [3, 2, 1, 3],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 3, -3, 3],\n [1, -1, -3, -2],\n [-1, -4, -1, -3],\n [2, 1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 3, 2, -2],\n [0, -3, -2, 4],\n [-1, 2, 4, -4],\n [3, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 1, -1],\n [3, 0, -2, 3],\n [-3, 4, 2, -3],\n [1, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 1, -1],\n [-1, -2, -2, -3],\n [-2, 1, 0, -2],\n [-4, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, 1, -3],\n [-4, 3, 1, 0],\n [2, -3, 1, -4],\n [3, 1, -3, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, -4, 4],\n [-3, -3, 4, -2],\n [2, 0, 2, 3],\n [-1, 2, 2, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, -2],\n [0, 4, 2, -1],\n [-1, 2, 2, -3],\n [-2, -1, -3, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-1, -3, 4, -3],\n [-4, 1, -4, -4],\n [0, 0, 0, 2],\n [-4, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 0, 1],\n [-2, -2, -1, -2],\n [0, -1, 3, 2],\n [1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "524", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -3, -2, -4],\n [-4, -2, -1, 4],\n [4, -1, 3, -2],\n [-4, 3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1035", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -2, 0],\n [2, -4, 0, 0],\n [-2, 0, 1, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3942", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, 2, -1, -1],\n [2, 3, 0, 2],\n [-1, 0, -4, -1],\n [-1, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, 0, -3, 2],\n [0, -1, 0, -1],\n [-3, 0, 0, 2],\n [2, -1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, -2, 1],\n [-2, -1, 0, 0],\n [-2, 0, 0, -1],\n [1, 0, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1826", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, -3],\n [-2, -4, 0, -2],\n [0, 0, -4, 2],\n [-3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 2, 0, 0],\n [-2, 0, 2, 3],\n [-4, 0, 0, 1],\n [-2, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, -1, 0],\n [2, 1, 0, 3],\n [-1, 0, -1, -1],\n [0, 3, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1155", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, 0, -1],\n [-1, -3, 3, -1],\n [-1, 4, -1, 3],\n [1, 4, 4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "815", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -1, -3, 0],\n [2, 2, 3, -4],\n [-3, 1, 0, 4],\n [3, -2, 4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8552", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[1, 0, -4, 2],\n [0, -1, 0, 2],\n [-4, 0, -4, 2],\n [2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -4, 3],\n [-2, 2, -1, 2],\n [-4, -1, -4, 0],\n [3, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 4, 1],\n [-2, -1, 4, -3],\n [0, -4, 1, -4],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4080", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-1, -4, -2, -1],\n [-1, 4, 2, -1],\n [0, -2, -2, -4],\n [-3, 3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, -3, 2],\n [-2, 3, -2, 0],\n [-3, -2, 4, 4],\n [2, 0, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3934", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-3, -2, 2, -2],\n [-2, -4, 0, 0],\n [2, 0, 4, -4],\n [-2, 0, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 2, 0],\n [2, -4, 0, 3],\n [2, 0, -4, 2],\n [0, 3, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1402", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, 2, -4],\n [1, 0, 3, 0],\n [-1, 0, 4, -4],\n [3, 1, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 2, 0, -2],\n [2, 3, -2, -2],\n [0, -2, -3, -3],\n [-2, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, -3, 4, -2],\n [2, 1, 3, 1],\n [0, -3, -2, 4],\n [-1, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 0, 2],\n [1, -2, 1, -2],\n [0, 1, 4, -3],\n [2, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1056", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -1],\n [1, 0, 4, 4],\n [4, -3, 0, -1],\n [4, -1, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -1, -1, -2],\n [-1, 0, 0, -2],\n [-1, 0, 1, 1],\n [-2, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1937", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 3, 2],\n [0, -3, -2, -4],\n [3, -2, 0, -3],\n [2, -4, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13037", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -4, -3],\n [4, -3, 2, -4],\n [-1, 0, -2, -4],\n [0, 2, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2049", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, -1, -1],\n [-1, -2, 0, 2],\n [1, -4, 1, 0],\n [-1, 0, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "401", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 4, -1],\n [-2, 4, 1, -3],\n [-2, -4, -4, 2],\n [3, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, -2, -4],\n [3, -2, 1, -4],\n [1, 3, -4, -1],\n [3, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 4, 2, 0],\n [4, 2, 0, -4],\n [2, 0, -2, -1],\n [0, -4, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1880", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, -2, 1],\n [1, -4, 0, 2],\n [-2, 0, -4, -2],\n [1, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1596", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -1, 2, -3],\n [2, 1, 1, 4],\n [-4, 4, 2, -1],\n [1, -4, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5442", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, -4, -4],\n [4, 3, 1, 1],\n [-3, -4, 3, -3],\n [3, 4, -1, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2076", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[2, 0, -4, -2],\n [-3, 3, -2, -4],\n [4, 4, -1, 4],\n [-4, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "992", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 2, -4],\n [3, 2, 1, -4],\n [-3, 0, -1, 3],\n [-2, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -4, 4, 4],\n [-4, 1, 1, 3],\n [-2, 0, 0, -1],\n [2, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "710", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, 3, 0],\n [-3, -1, 4, -4],\n [-4, -1, -3, -3],\n [1, 4, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7876", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -3, 0, 2],\n [1, 3, -2, 0],\n [-1, 1, 0, -3],\n [-3, -1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 0, 2],\n [2, -2, 0, 1],\n [0, 0, 0, 0],\n [2, 1, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "969", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 2, -4, -4],\n [2, 1, -4, -2],\n [-3, 1, -4, 3],\n [0, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 1, -1],\n [2, 1, -2, 4],\n [2, -4, -3, -1],\n [4, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1366", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 2, 4],\n [-3, -3, -2, 1],\n [2, -2, 4, 0],\n [4, 1, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "515", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-4, 4, 4, -1],\n [2, 1, 1, 0],\n [4, -1, -3, 4],\n [0, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[0, -1, -3, 2],\n [-1, 4, 2, -2],\n [-3, -3, 2, -3],\n [-4, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, 0, 3],\n [1, 3, 4, -4],\n [2, 1, -1, 3],\n [0, -1, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "610", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, -1, 2, -4],\n [-1, 0, -4, -2],\n [2, -4, 2, 1],\n [-4, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -3, 3],\n [1, -2, 0, 4],\n [0, -2, 2, 0],\n [-3, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "748", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, 4, -1],\n [1, -4, 2, -3],\n [-1, 2, 0, 0],\n [-2, 2, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1929", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -3, -1],\n [-4, 1, 3, 3],\n [4, -3, -2, -2],\n [2, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "773", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -2, -2],\n [2, 3, -2, 0],\n [-2, -2, 2, -4],\n [-2, 0, -4, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1124", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[0, -4, -2, 2],\n [-4, 0, -2, 0],\n [-2, -2, -4, 2],\n [2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-512", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-4, 1, 2, 2],\n [-2, -3, -3, 2],\n [1, 1, -3, 4],\n [-3, 2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-3, -3, 0, 2],\n [-3, 0, -2, 2],\n [0, -2, 2, -2],\n [2, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, -3, -3],\n [1, -4, 1, -1],\n [-4, 2, -1, -4],\n [4, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 2, -2],\n [0, 2, 0, 0],\n [2, 0, -4, 2],\n [-2, 0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 1, -4],\n [2, -2, 0, -3],\n [1, 0, -3, -4],\n [-4, -3, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-546", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, -1, 1],\n [1, 3, 3, -1],\n [0, 4, -3, -3],\n [1, -2, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "254", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, -1, 4],\n [-1, -3, 4, 4],\n [-1, -3, 2, 0],\n [-3, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1062", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -4, -4],\n [2, 4, -1, 0],\n [-4, -1, -4, 2],\n [-4, 0, 2, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-1, -2, 3, -2],\n [-2, 0, -3, -3],\n [3, -3, 4, -2],\n [-2, -3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-789", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 4, -4],\n [-4, -2, 3, 0],\n [-2, 3, -2, 2],\n [-3, -1, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8380", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, 3, -2, 4],\n [0, 1, 4, 2],\n [3, 3, 0, -2],\n [-1, 2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -1, 1],\n [-4, 2, 3, 3],\n [3, 0, -2, 2],\n [-1, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[0, 1, 4, 1],\n [2, -2, -4, 3],\n [3, 2, 2, 1],\n [-3, -4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "361", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 3, -3, 4],\n [3, -1, 2, 0],\n [-3, 2, -1, -2],\n [4, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10336", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -2, -2, 4],\n [-1, -1, -1, -1],\n [3, -4, -1, 0],\n [1, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1838", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, 2],\n [0, 3, -1, -2],\n [0, -1, 2, 2],\n [2, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, -2, 3],\n [-1, 2, -4, -2],\n [-3, 2, -4, 4],\n [2, 2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 1, -2],\n [2, -3, 2, 0],\n [1, 2, -4, 3],\n [-2, 0, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5385", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -2, 2],\n [2, 2, 2, -2],\n [-2, 2, 4, 0],\n [2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7257", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 3, -3],\n [4, 3, 3, 1],\n [-4, -3, 4, 0],\n [4, -2, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8649", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, 0],\n [0, 3, -4, 2],\n [0, -4, 1, -2],\n [0, 2, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7044", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 4, -2, 3],\n [-4, 1, -1, -4],\n [-1, 3, 1, -3],\n [-2, 1, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 3, 1],\n [-1, -1, -1, 3],\n [-3, 0, 1, 4],\n [1, -2, 2, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 1, 1],\n [1, -4, 0, 1],\n [0, -1, 0, 4],\n [-2, -2, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, -2, -1],\n [3, 0, -3, 0],\n [4, 4, -2, 0],\n [-3, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3124", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, -3, -3],\n [3, 0, -1, 3],\n [0, 1, -1, -4],\n [-4, -4, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3814", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, -3, -1],\n [2, -4, 2, -1],\n [-3, 2, -2, -4],\n [1, 4, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1580", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 4, -4, 2],\n [-2, 4, 2, -1],\n [-2, 3, -1, -3],\n [4, 0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, 0, -4],\n [-3, 0, -3, -1],\n [4, 1, -3, 1],\n [-2, 2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 3, 3],\n [-4, -2, 3, -3],\n [-3, -4, -3, 2],\n [-3, 4, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7716", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0, 2],\n [1, -4, 2, 2],\n [0, 2, 1, 0],\n [2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "623", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 4, 0, 0],\n [4, -1, -1, 1],\n [0, -1, -1, 0],\n [0, 1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, 2, 0],\n [0, 1, -1, -2],\n [2, -1, 2, 0],\n [0, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 0, 2],\n [-2, 4, 2, -2],\n [0, 2, -3, -1],\n [2, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "520", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[3, 1, 3, 4],\n [-3, -2, -3, 0],\n [-2, 0, -4, -3],\n [1, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-1, 2, 0, -1],\n [2, -4, 0, 3],\n [0, 0, -1, 4],\n [-1, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-468", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -1, 2],\n [2, -3, 3, -1],\n [-1, 3, -4, 0],\n [2, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-4, -2, 0, -2],\n [-2, 4, 0, 1],\n [0, 0, 3, 2],\n [-2, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 4, -3],\n [0, 1, 0, 0],\n [4, 0, 0, -1],\n [-3, 0, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3738", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, 2, 1],\n [-2, 4, 0, -2],\n [2, 0, 4, -2],\n [1, -2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "810", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[1, 1, 0, -2],\n [1, 2, 2, 0],\n [0, 2, -3, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "493", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, 2, 0, 0],\n [2, 1, 2, -4],\n [0, 2, -3, 4],\n [0, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-488", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, -1, 4],\n [1, -1, 0, 1],\n [3, 0, 1, 3],\n [4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, -1, -1],\n [-4, -2, -1, 4],\n [-2, 4, 0, -4],\n [-2, 4, 3, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-282", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 2, 2],\n [-1, 2, 2, 0],\n [2, 2, 1, -2],\n [2, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -1, 4],\n [2, -1, -4, -2],\n [-1, -4, -3, 0],\n [4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11655", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -3, -2],\n [-2, 4, 2, 2],\n [1, -4, 2, -3],\n [2, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1878", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, 0, 4],\n [3, 4, 0, 4],\n [2, -3, -4, -1],\n [-1, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3915", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, -2],\n [0, 3, -3, -2],\n [0, -3, -1, 0],\n [-2, -2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, 0],\n [0, 3, 3, 2],\n [0, 3, -3, -1],\n [0, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "511", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, -2, 2],\n [3, 4, -4, -1],\n [-2, 0, -3, -1],\n [-1, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3811", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, 0, 3],\n [-4, 2, 2, 4],\n [-4, 0, 2, -3],\n [4, 4, 4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1950", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -4, -1],\n [-3, 2, 1, 2],\n [4, 4, -1, -3],\n [-4, -2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1213", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -3, 2, 3],\n [1, -3, 4, -4],\n [-4, -1, -3, 3],\n [-4, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1092", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-1, 2, 4, 1],\n [4, 4, -4, 3],\n [-2, 4, 3, -1],\n [3, 4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 4, 1, -3],\n [4, 3, 1, 0],\n [-3, -3, -3, 2],\n [2, 1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3772", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, 1, -2],\n [-3, 4, -2, 1],\n [1, -2, -3, 0],\n [-2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1566", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 3, -3, 1],\n [-1, 1, 2, -4],\n [4, 3, -1, 2],\n [4, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1348", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[2, 0, -4, -1],\n [-4, 2, 1, -1],\n [4, -2, -3, -2],\n [3, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[4, -3, 4, 3],\n [-3, 3, -4, -1],\n [-1, 3, 2, -1],\n [-2, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-312", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 2, 1],\n [-2, -2, 1, 0],\n [4, -3, 1, -1],\n [-3, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -2, 0],\n [0, 0, 0, 0],\n [-2, 0, -2, 0],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, -3, 1, 4],\n [-2, 1, -4, -1],\n [-2, 4, 3, -1],\n [1, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 3],\n [2, 0, 0, -1],\n [-2, 0, -1, 0],\n [3, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1389", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-1, -2, -3, 2],\n [-2, -2, -4, -1],\n [-3, -4, -2, 0],\n [2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -1, -1, 2],\n [-1, 1, 3, -1],\n [-3, -1, 0, -2],\n [0, -2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[1, 2, 0, 0],\n [2, -2, 2, 2],\n [0, 2, 1, -2],\n [0, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[2, -2, 0, 4],\n [-2, -3, -3, 4],\n [2, 1, 4, 4],\n [4, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -1, 1, -4],\n [-2, 4, -2, 1],\n [-3, 4, -3, 2],\n [-2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[3, -1, 1, 0],\n [-1, 3, -2, -2],\n [1, -2, -3, -2],\n [0, -2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 1, 0],\n [-1, 3, -3, 1],\n [-1, -4, 0, 3],\n [-3, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, -3, -1, -3],\n [-3, -3, 0, 2],\n [1, -2, 2, -4],\n [4, -1, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 4, 1, -3],\n [2, 0, 1, -2],\n [-1, 0, -2, 0],\n [4, -4, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "421", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 2, 2],\n [0, 4, 0, 1],\n [2, 0, 1, -2],\n [2, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2299", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 1, -4],\n [0, 3, 1, -1],\n [1, 1, 1, 2],\n [-4, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, -3, 2, 1],\n [-3, 1, 4, 0],\n [2, 4, -4, -2],\n [1, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 4, -4, -3],\n [-4, 1, -4, -3],\n [-3, 1, -2, -3],\n [3, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-524", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, 4, -2, -3],\n [4, 0, 4, -4],\n [-2, 4, 3, 0],\n [-3, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 0],\n [2, -1, 2, 2],\n [0, 2, 1, 2],\n [0, 2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "331", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, -1, -4],\n [3, 1, 0, 4],\n [-3, 1, -2, 3],\n [2, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1585", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 1, -2, 1],\n [-2, -3, -1, 1],\n [-4, -2, 3, -2],\n [-2, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5749", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, -1, -4],\n [-1, 2, 1, -4],\n [-2, 3, 4, -3],\n [-3, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, -4, -1],\n [3, 1, -3, 3],\n [-2, 0, 3, 0],\n [-4, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "592", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-2, 0, 0, 1],\n [0, 0, 2, 1],\n [0, 2, 1, -2],\n [1, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, -2, 2],\n [4, -4, 4, 2],\n [1, -1, 3, 2],\n [-2, 0, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, -3],\n [0, 4, 0, 2],\n [0, 0, 3, 2],\n [-3, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1774", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 4, -1],\n [-3, 3, 3, -2],\n [4, -4, -2, 4],\n [1, 3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 4, -1, 1],\n [-3, 0, 3, -4],\n [3, -4, 0, -1],\n [2, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3755", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -2, -2, 0],\n [-2, 0, 3, -3],\n [-2, 3, -3, 1],\n [0, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5209", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -1, -3],\n [2, 3, 2, -4],\n [0, 1, 2, 3],\n [-1, 1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 0, 0],\n [-3, 2, 3, 3],\n [-1, 0, 1, -4],\n [-4, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, 4, 4],\n [-1, -1, 1, -1],\n [4, 4, -4, 0],\n [1, 0, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14812", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, -1, -4],\n [-3, -3, -3, -1],\n [-1, -3, -2, 0],\n [-4, -1, 0, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2055", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 4, 2, 2],\n [4, 0, 0, 1],\n [2, 0, -4, 1],\n [2, 1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1023", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 0, 2],\n [2, -4, -1, 0],\n [0, -1, -2, 4],\n [2, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1062", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-4, 4, -4, 1],\n [2, -4, 2, 3],\n [3, -4, -3, 3],\n [-1, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-1, 2, 0, 1],\n [2, -3, -1, -3],\n [0, -1, -1, 2],\n [1, -3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, 0, -1],\n [1, 1, -2, -3],\n [-2, 4, -1, 4],\n [-1, -1, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "242", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[0, -2, 0, 3],\n [-2, -2, -2, -3],\n [0, -2, 4, 4],\n [3, -3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "459", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, 2, -1],\n [-3, -2, 2, -1],\n [2, 2, -3, 0],\n [-1, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1561", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 2, -4],\n [-3, 1, -2, -3],\n [-1, 2, 3, 3],\n [2, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 4, 0],\n [3, -2, 4, 0],\n [4, -3, 4, -4],\n [1, 1, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6478", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, 3, 2, 2],\n [2, -3, -2, -4],\n [-3, 4, -2, -3],\n [-2, -4, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 3, 0, 2],\n [-3, 1, -4, 2],\n [2, -1, 4, -3],\n [2, 1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 4, 3],\n [-1, -3, -3, 3],\n [1, 2, -4, 3],\n [0, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 0, -2],\n [2, 1, -1, 0],\n [0, -1, 3, -2],\n [-2, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 2, 4],\n [-1, 4, -1, 4],\n [-2, 0, 4, 1],\n [3, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1858", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, -4],\n [-1, 4, -3, 3],\n [1, -1, -1, 1],\n [4, -3, 2, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -4, 1, 4],\n [4, -4, 0, -1],\n [2, -4, -1, 4],\n [-3, -1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, -1, -3],\n [-1, -4, -1, 1],\n [2, 1, -3, 1],\n [-2, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1079", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -2, 4],\n [-3, 3, -1, -4],\n [-2, 4, -1, 4],\n [0, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6171", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 2, 2],\n [2, 2, 4, -4],\n [1, -2, 1, 4],\n [-2, 4, -1, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, -2, -1],\n [2, -4, -3, 0],\n [-2, -3, 2, 1],\n [-1, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-199", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -3, 0],\n [2, 2, -1, -1],\n [-3, -1, -4, 1],\n [0, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "832", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 2, 0],\n [0, 3, 2, 0],\n [2, 2, -1, -4],\n [0, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -3, 0, -2],\n [-3, 3, -3, 0],\n [0, -3, -3, 2],\n [-2, 0, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4383", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, 1, 0],\n [0, 1, 2, 1],\n [1, 2, -1, 2],\n [0, 1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "697", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[1, 0, -4, 4],\n [0, 1, 2, -2],\n [-4, 2, 3, -1],\n [4, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1420", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 4, -4],\n [2, 1, 4, -3],\n [-3, -2, -2, 3],\n [0, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9450", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, 1, 0],\n [0, -1, -2, 2],\n [1, -2, 3, 2],\n [0, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1378", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[4, -1, -1, -1],\n [-1, 0, -1, 2],\n [-1, -1, 1, -4],\n [-1, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-4, 2, -3, 0],\n [-1, -1, -4, 3],\n [4, 4, 1, 1],\n [-2, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "390", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2, 2],\n [0, 4, -1, 0],\n [-2, -1, -4, -4],\n [2, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "799", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, -1, 2],\n [-3, 0, -2, 1],\n [4, 3, -4, 4],\n [4, 3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "625", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-4, 0, 4, 4],\n [0, 4, 0, -4],\n [4, 0, 1, -2],\n [4, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0, 0],\n [2, 4, 2, 2],\n [0, 2, -3, 2],\n [0, 2, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -4, 2],\n [0, 3, 2, 2],\n [-4, 2, 1, -2],\n [2, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1460", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 1, -3],\n [-1, -1, 1, -2],\n [-1, 3, -2, -3],\n [1, 2, 3, -4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-4, 0, 2, 1],\n [0, 2, -2, -1],\n [2, -2, 4, -1],\n [1, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 4, -3],\n [-4, 3, 0, -1],\n [-4, -1, 1, -3],\n [-4, 4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1043", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, -2, 1],\n [-4, -1, 1, -2],\n [2, -2, 0, -3],\n [-4, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7891", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -3, 2],\n [2, 4, 3, 1],\n [-3, 3, -2, 3],\n [2, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1910", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 2, 1],\n [-2, -1, 4, -4],\n [-4, 0, -2, -1],\n [4, 2, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-265", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[3, 1, -1, 3],\n [2, -3, 3, -2],\n [-2, -1, 0, 1],\n [2, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -4, 3, -3],\n [-4, 2, -4, 0],\n [3, -4, -1, 0],\n [-3, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2309", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, 1, -2, 2],\n [4, -1, 3, 2],\n [-3, -2, -3, 4],\n [3, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, -1, -1],\n [-2, 2, 4, -1],\n [3, -4, 2, 1],\n [-2, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 2, 0],\n [2, 1, 0, 1],\n [2, 0, 2, 2],\n [0, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1632", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, 0, -4],\n [-2, 4, 0, -2],\n [0, 0, 0, 0],\n [-4, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5632", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, 0],\n [0, -3, 4, 0],\n [2, 4, -1, 0],\n [0, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "452", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 3, -2],\n [-1, 1, 1, 4],\n [3, 1, 0, -2],\n [-2, 4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1432", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -4, -1, -4],\n [1, 3, -3, 3],\n [2, 4, -4, 0],\n [1, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1040", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 1, 0],\n [-3, 2, 3, 3],\n [3, -4, -3, -4],\n [3, 1, 1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[4, -1, 4, 2],\n [1, -3, -3, 0],\n [0, 3, 0, -4],\n [1, 4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "575", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, 2, 0, 0],\n [-3, 0, -4, -3],\n [3, 0, 4, 2],\n [-3, 4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -3, -1],\n [-2, 0, 3, 0],\n [-3, 3, -3, 2],\n [-1, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, 2, 0],\n [-3, -2, -4, 3],\n [-3, 4, -4, 0],\n [-1, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-492", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -4, 1],\n [4, -3, -4, -3],\n [4, 1, -4, -3],\n [-2, -3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6538", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[1, 2, 2, -3],\n [-1, -1, -1, 1],\n [-2, -4, 0, -4],\n [4, 4, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -1, 3, -1],\n [-1, 0, 0, -2],\n [3, 0, 2, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2028", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 1, 4, 3],\n [3, -4, -2, 3],\n [0, -4, -4, -3],\n [1, -2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12926", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, 0, 1],\n [-2, -1, 0, -1],\n [0, 0, 1, -1],\n [1, -1, -1, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 0, 0],\n [-2, 0, -4, 2],\n [0, -4, 4, -2],\n [0, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 2, 0],\n [2, -1, 0, -2],\n [2, 0, 1, -1],\n [0, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2057", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -2, 4],\n [-2, 0, -1, 4],\n [-2, -1, 2, 0],\n [4, 4, 0, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 2, 2],\n [-3, 4, -1, -1],\n [-4, 2, 1, 4],\n [3, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 4, 0],\n [2, 4, -1, -4],\n [3, 3, 3, 3],\n [-4, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "975", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -3, -3],\n [3, -3, 2, 0],\n [-2, -1, -4, -3],\n [4, -4, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1456", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 2, 0, -2],\n [2, 1, 0, 0],\n [0, 0, 1, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 4, 2, -1],\n [2, 1, 4, 4],\n [-1, 1, -3, 3],\n [0, 4, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1537", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 0, 1, 3],\n [0, 3, 0, 0],\n [1, 0, -3, 2],\n [3, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-2, 0, 4, 4],\n [2, 4, -2, -3],\n [1, 4, 3, 2],\n [2, 3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 3, 1, -1],\n [-3, 0, 4, 1],\n [0, 0, 4, -2],\n [-1, 3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 0, -1],\n [0, 0, -2, 1],\n [0, -2, -4, -3],\n [-1, 1, -3, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -2, 1],\n [-3, -2, 0, -1],\n [-2, 0, -3, -1],\n [1, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2830", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 0, 2],\n [0, -4, 2, 2],\n [0, 2, 2, -1],\n [2, 2, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "729", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, -2, -1],\n [2, -3, 0, -1],\n [-2, 0, -4, 0],\n [-1, -1, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1560", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, 1, 2],\n [3, 4, 0, -1],\n [1, 0, 3, -2],\n [2, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 2, 0],\n [0, 0, 2, 0],\n [2, 2, 4, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1130", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 1, 3],\n [3, 1, -4, -3],\n [2, -1, 4, -1],\n [-2, -1, 4, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 0, 0, 2],\n [0, 0, 2, 4],\n [0, 2, -2, 0],\n [2, 4, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, 1, -2],\n [4, 2, 3, 2],\n [1, 3, -1, 0],\n [-2, 2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-4, 1, -2, 0],\n [1, -2, 2, 3],\n [-2, 2, -1, 0],\n [0, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-372", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, -1],\n [0, 4, -4, 0],\n [3, 1, 1, -1],\n [3, 2, 1, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 3, -2, 0],\n [3, 3, 0, 1],\n [-2, 0, -4, 4],\n [0, 1, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8582", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 4],\n [3, 1, -2, 2],\n [0, -2, 3, 3],\n [3, 0, -2, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, 2, 2],\n [-1, 0, 0, 0],\n [2, 0, 2, 1],\n [2, 0, 1, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[0, 1, 2, -2],\n [1, 2, -3, 2],\n [2, -3, -2, 1],\n [-2, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 2],\n [2, 2, 4, 1],\n [0, 4, 1, -1],\n [2, 1, -1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, 2, 0],\n [0, 1, 0, 4],\n [2, 0, -2, -2],\n [0, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6598", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -2, 0],\n [0, 4, -2, 1],\n [-2, -2, 4, 2],\n [0, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "769", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, -4, 2, -1],\n [3, -4, 2, -1],\n [-3, 2, -2, -2],\n [4, 0, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[2, 1, 0, 3],\n [1, 3, -2, -2],\n [0, -2, 0, 0],\n [3, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -1, 2],\n [-2, 0, -2, 2],\n [-1, -2, -2, -2],\n [2, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8282", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, -1, 3],\n [1, -4, 1, -3],\n [3, 1, 0, -2],\n [-3, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, 2, -1],\n [-2, -2, -2, 0],\n [2, -2, 3, 2],\n [-1, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-4, -2, 2, -1],\n [-2, 2, 4, 3],\n [2, 4, -1, 2],\n [-1, 3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1567", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, 4, 2],\n [-3, -2, -4, -3],\n [4, -2, 0, -2],\n [3, 1, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9661", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-3, -2, -3, -2],\n [3, 1, 0, 4],\n [0, 1, -1, 4],\n [-2, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -4, -2],\n [0, 4, 2, 2],\n [-4, 2, 2, 2],\n [-2, 2, 2, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0, 0],\n [2, -3, 1, 0],\n [0, 1, 1, 0],\n [0, 0, 0, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-4, 1, 2, 2],\n [1, -3, 2, -4],\n [2, 2, 4, 3],\n [2, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-949", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, -1, -2, 4],\n [-3, -1, 2, 4],\n [-1, 1, -3, -3],\n [-3, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, -2, -2],\n [-1, -1, 2, -4],\n [-2, 2, 3, -1],\n [-2, -4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-942", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, -2, -3],\n [-4, -4, 3, -1],\n [-4, 3, 4, -3],\n [3, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1152", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 4, 4, 3],\n [-1, 0, -2, -3],\n [1, 3, -4, -3],\n [4, 2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8352", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -4, 4, -4],\n [-4, -1, -4, -3],\n [1, 0, 1, -2],\n [-4, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9018", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 0, 2],\n [1, -2, 0, -1],\n [0, 0, -2, 0],\n [2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0, -1],\n [0, -4, 1, 2],\n [0, 1, 0, 0],\n [-1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, -1, 3],\n [2, 3, 2, -3],\n [2, -2, -3, -2],\n [-1, 4, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1978", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0, -3],\n [0, 4, 0, 2],\n [0, 0, 4, 0],\n [-3, 2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "512", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 2, 1, -1],\n [2, -1, 0, 0],\n [1, 0, -4, 2],\n [-1, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[2, 0, 0, 0],\n [0, -3, 1, 2],\n [0, 1, -1, 2],\n [0, 2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -1, 2],\n [-3, -3, 0, -4],\n [4, 2, -4, 2],\n [-1, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "988", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 4, -1],\n [2, -4, 4, -4],\n [-3, -4, 2, 4],\n [0, 3, 1, 1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 1, 4, 2],\n [1, 1, -1, -1],\n [4, -1, -4, 1],\n [2, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4477", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 0, 4],\n [-3, -4, -1, 0],\n [0, 2, 1, 2],\n [-1, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3766", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[2, 0, -3, -2],\n [0, 0, 3, 1],\n [-3, 3, -1, 0],\n [-2, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -4],\n [-2, -2, 4, 1],\n [0, 4, -4, 3],\n [-4, 1, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "335", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-1, -3, -1, 2],\n [-3, 2, 1, 0],\n [-1, 1, 1, -3],\n [2, 0, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -4, 4],\n [0, 2, 0, 4],\n [-4, 0, 2, -2],\n [4, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "690", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -4, -2],\n [3, 3, -4, 3],\n [-2, 1, 0, -2],\n [1, 1, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1088", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, -3, 0],\n [-3, 2, 1, -1],\n [1, 3, 0, -1],\n [1, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 3, -2, -2],\n [3, 3, 2, 0],\n [-2, 2, -4, 1],\n [-2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, 0, -2, 0],\n [0, -1, -4, -3],\n [-2, -4, 1, 0],\n [0, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, 1, 0],\n [-3, 1, 1, 0],\n [2, -3, 3, 2],\n [-2, -4, 4, 4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, 3, -1],\n [0, -1, -1, 4],\n [-3, 3, 4, -2],\n [2, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-2, -1, 0, 0],\n [-1, 3, 2, 3],\n [0, 2, 3, -2],\n [0, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, -1, 0],\n [0, 0, -4, 3],\n [3, -3, -3, 1],\n [-3, -3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3564", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, 0],\n [0, -4, 0, 1],\n [0, 0, -1, 0],\n [0, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 2, 2],\n [2, 2, -1, 0],\n [2, -1, -1, 1],\n [2, 0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1846", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, 3, 1],\n [-4, -4, 1, 4],\n [0, -2, 1, -3],\n [0, 4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 3, 1],\n [0, -4, -3, -2],\n [3, -3, -3, 0],\n [1, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-809", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 4, 3],\n [3, -3, 3, -3],\n [2, 3, -3, 4],\n [-4, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1830", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, 3, -4],\n [0, 1, -2, 0],\n [3, -2, 4, 0],\n [-4, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0, 0],\n [2, -2, -2, 2],\n [0, -2, -2, -4],\n [0, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-384", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 0, 0],\n [-3, -2, 1, -2],\n [0, 1, 2, 3],\n [0, -2, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, -4, 0],\n [2, -1, -3, 0],\n [-4, -3, -1, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6645", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, -1, -4],\n [4, 4, 3, -3],\n [4, -3, -3, 4],\n [-3, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "655", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 0, 0],\n [4, 0, 1, -2],\n [0, 1, -1, -2],\n [0, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5810", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-3, -1, 1, 0],\n [1, -1, -4, 3],\n [-1, 4, 3, 0],\n [4, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -4, 0],\n [-4, -3, 1, 1],\n [-3, 2, 3, -4],\n [-4, -4, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, 2, 2],\n [3, 2, 0, 4],\n [-4, 4, -3, 4],\n [4, 2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5417", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, -1, -2],\n [3, 1, -1, 4],\n [4, 0, -1, 4],\n [0, -3, 3, -4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "537", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 1, -2, 3],\n [-3, -3, 3, -2],\n [-1, -2, -2, 2],\n [3, 4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "274", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 0, 0],\n [-1, -3, 1, -3],\n [0, 1, 1, 1],\n [0, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 3, 3],\n [0, 0, -1, 2],\n [-3, -1, -3, 3],\n [-4, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-428", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, -2, 0],\n [-3, -1, 3, 0],\n [-2, 3, 4, -1],\n [0, 0, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1094", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 4, 3, 2],\n [-1, 3, 4, -1],\n [2, -2, 2, 3],\n [3, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4542", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 2, -1],\n [2, 1, -1, 1],\n [2, -1, -2, -2],\n [-1, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "555", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 0, 0],\n [0, 0, 2, -4],\n [0, 2, 2, 0],\n [0, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-323", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [2, 1, -2, 0],\n [0, -2, -4, 1],\n [0, 0, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1646", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -4, 2],\n [-2, 2, -2, -1],\n [-4, -2, 4, 4],\n [2, -1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1770", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, 1],\n [-2, 2, 3, 0],\n [-3, -4, -3, 4],\n [-3, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 4, -3, 0],\n [2, 3, 4, 4],\n [3, 0, 4, -1],\n [4, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17122", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 1, -2],\n [-2, -4, 0, 0],\n [1, 0, 1, -4],\n [-2, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "863", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[4, 3, 2, 3],\n [-3, 3, -3, 1],\n [-2, 3, -3, 4],\n [-2, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-1, 2, 2, -2],\n [2, 4, 0, 1],\n [2, 0, -3, -2],\n [-2, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "325", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 3, -3, -2],\n [2, 1, -4, 2],\n [1, -4, 2, 4],\n [2, 3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1253", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, 1],\n [-3, 4, -4, -2],\n [3, 4, 2, 1],\n [2, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 1, 1, 2],\n [1, 0, -4, 0],\n [0, 2, -4, 0],\n [2, 1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2907", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 3, 2, -2],\n [3, -2, -3, -3],\n [2, -3, -1, -4],\n [-2, -3, -4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25284", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -4, -2],\n [-3, 2, 2, -3],\n [-4, 2, -4, 0],\n [-2, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1704", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-4, 3, 0, -1],\n [1, 3, -2, 4],\n [-2, 1, -1, -4],\n [-2, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -3, 2],\n [3, -1, -4, 4],\n [3, -3, 0, 3],\n [4, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2442", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 4, 2],\n [-3, 0, 4, -2],\n [1, -1, 4, 2],\n [-3, -1, 1, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 0, 0],\n [-2, -3, 1, 1],\n [0, 1, 1, 4],\n [0, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "733", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -4, -4, 2],\n [2, -1, 2, -1],\n [0, 0, 0, 3],\n [4, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 2, -1, 0],\n [2, 1, 2, 0],\n [-1, 2, -4, 0],\n [0, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2572", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 3, 0],\n [-1, -3, -2, 0],\n [3, -2, 3, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "546", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, 1, 2],\n [-4, 3, 4, 4],\n [3, 4, 0, 2],\n [-2, -1, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "862", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 2, -1],\n [4, -1, 0, 2],\n [-2, -2, -1, 4],\n [-3, -2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "470", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-4, 1, 0, -4],\n [1, 0, 2, 2],\n [0, 2, -4, -1],\n [-4, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 0, -1, 1],\n [0, 0, 3, -2],\n [-3, 3, 0, 2],\n [-1, 0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 3, 0, 1],\n [3, -3, 0, 0],\n [0, 0, 2, -3],\n [1, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 3, 1, -1],\n [-4, 1, -1, 0],\n [-1, 1, 2, -2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "254", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 1, -2, -1],\n [1, 1, 2, 0],\n [-2, 2, 0, 2],\n [-1, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1320", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 2],\n [0, -3, 0, -4],\n [0, 0, 1, -4],\n [2, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-722", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -4, 4, -1],\n [-1, -1, -3, -1],\n [0, 1, -4, -1],\n [-4, -4, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1308", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-3, -3, 3, 4],\n [-3, -1, -2, 3],\n [-2, -1, 1, 2],\n [-3, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[3, 2, 2, 0],\n [2, 3, 0, 0],\n [2, 0, -2, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, 0],\n [0, 2, 3, 0],\n [-2, 3, 0, 0],\n [0, 0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, 1, 3],\n [-3, -4, -3, 1],\n [-2, 3, -1, -4],\n [2, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1451", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, 2, 2],\n [-3, -1, -2, -2],\n [-2, 0, -4, -2],\n [-3, 4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 1, -1],\n [-2, 4, 0, 0],\n [2, -3, 0, 2],\n [-4, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1576", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[4, -2, -2, -4],\n [-2, 4, 0, 1],\n [-2, 0, -4, -1],\n [-4, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0, 0],\n [2, -3, 2, 0],\n [0, 2, 0, -2],\n [0, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 1, 0],\n [-3, 2, -3, -2],\n [1, -3, 2, -1],\n [0, -2, -1, -1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, -2, 0],\n [-1, -4, 0, -2],\n [0, 1, -4, 4],\n [-2, 3, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "848", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, -1, 0],\n [1, -2, 2, 2],\n [-1, 2, 0, -1],\n [0, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, -4, -4],\n [1, -2, 0, -3],\n [-3, -1, -1, -2],\n [1, -3, 4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-3, 2, 0, -2],\n [2, 1, 3, 2],\n [0, 3, -2, 0],\n [-2, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, 0],\n [-2, -1, 0, 0],\n [2, 0, -4, 0],\n [0, 0, 0, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 4, -2, 0],\n [4, 2, 0, 1],\n [-2, 0, 1, -2],\n [0, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 2, -2],\n [-1, -2, 0, 1],\n [2, 0, -2, 0],\n [-2, 1, 0, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 2, -2],\n [-4, 1, 2, 1],\n [2, 2, 3, 2],\n [-2, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -4, 3],\n [1, 3, -2, -4],\n [-4, 2, 3, -3],\n [-1, -1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1883", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 2, 2],\n [0, 2, 3, 0],\n [2, 3, 1, -2],\n [2, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "531", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, -1, -1],\n [2, -4, -2, 1],\n [-1, -2, -2, 0],\n [-1, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, -2, 2, 1],\n [-2, 2, 2, 1],\n [2, 2, -2, -4],\n [1, 1, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-2, 0, 1, 2],\n [4, -2, 3, 3],\n [1, -4, 1, 1],\n [-1, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, -2, 0],\n [0, 4, -3, -2],\n [-2, -4, -3, -3],\n [4, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "863", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 1, 0],\n [-2, -1, 1, 3],\n [2, 1, 3, -4],\n [1, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3217", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -3, 3],\n [-1, 2, 3, -4],\n [4, 2, 0, -4],\n [4, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2253", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 3, 1, -1],\n [4, 2, 2, -3],\n [-3, -2, 3, -4],\n [2, -2, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1598", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 0, 2],\n [2, 3, -2, -2],\n [0, -2, 4, -1],\n [2, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "721", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -3, 2],\n [2, -4, 0, 0],\n [-3, 0, -2, 0],\n [2, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "884", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 4, 3],\n [2, 2, 1, 0],\n [-1, 0, 2, 4],\n [-4, 2, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "898", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -1, 1],\n [-4, -3, -3, 3],\n [-4, -3, 0, -3],\n [-3, -1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1283", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -3, 1, -1],\n [4, -2, 1, 4],\n [-4, 2, 0, 4],\n [2, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1278", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-4, 0, 0, -3],\n [0, -2, 0, -2],\n [0, 0, 1, 2],\n [-3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -3, -2, -2],\n [-3, 4, 0, -4],\n [-2, 0, 4, 1],\n [-2, -4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2347", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 2, 3],\n [3, -4, 3, -4],\n [-1, 0, -2, -2],\n [-4, 4, -2, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, 4, 2],\n [3, -3, 2, 3],\n [3, 0, -4, 0],\n [1, -4, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-453", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -2, 0, -1],\n [-2, 3, 0, -2],\n [0, 0, 0, -2],\n [-1, -2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1422", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0, -2],\n [-2, -4, -2, -1],\n [0, -2, 0, 1],\n [-2, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-637", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, -4, -3],\n [-2, 1, -4, 3],\n [2, 3, -1, 1],\n [2, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2359", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, 3, 4],\n [-1, 4, -1, -3],\n [-3, 1, 4, 0],\n [3, -4, -3, 4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1949", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -2, 2, -4],\n [4, 2, 2, -1],\n [3, 1, -2, -2],\n [-1, -3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7198", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 2, -1, 0],\n [2, 4, 3, -2],\n [-1, 3, 0, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4885", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 3],\n [-3, -2, 4, 0],\n [0, -4, -4, -1],\n [-2, -2, 1, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -2, -1],\n [2, 1, -4, 2],\n [-2, -4, 3, 0],\n [-1, 2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10639", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -2, 0],\n [1, 2, -2, -2],\n [-2, -2, 1, 2],\n [0, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "728", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, -4, 2],\n [-1, -1, -1, 3],\n [2, 0, -1, -1],\n [0, -1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[4, 3, 3, -1],\n [0, 2, 3, 4],\n [-1, -4, 2, 0],\n [3, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-3, -2, 2, 2],\n [-2, 3, -1, 1],\n [2, -1, -2, 0],\n [2, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 2, 2],\n [2, 0, -2, 0],\n [2, -2, -4, -2],\n [2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1968", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, 2, 2],\n [-4, 3, -2, 0],\n [2, -2, 3, 2],\n [2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2508", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, 1],\n [0, 4, -3, 0],\n [0, -3, 2, 2],\n [1, 0, 2, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -4, -1, -4],\n [-1, 0, -3, 1],\n [-4, -4, 4, 3],\n [-1, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-298", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 4],\n [-4, 1, 1, 1],\n [-4, -3, -1, 2],\n [0, 3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -3, 4],\n [0, -2, 4, 1],\n [0, 4, -1, -3],\n [0, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "858", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, 3, 1],\n [0, 0, 0, 1],\n [2, 3, 3, 1],\n [-3, 0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "334", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -4, -2, 2],\n [1, 1, -4, -2],\n [3, 1, 1, 2],\n [1, -4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "513", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, 2, -2],\n [0, 1, 2, 1],\n [2, 2, -2, 1],\n [-2, 1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, 0, 3],\n [3, -2, 0, 0],\n [0, 0, 2, -1],\n [3, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "554", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 2, 1],\n [-1, 3, 2, -2],\n [2, 2, 4, -2],\n [1, -2, -2, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, -4, 1],\n [2, 4, 2, 3],\n [2, -3, -2, 4],\n [-4, 3, -3, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 0, -1],\n [-2, 2, 2, 2],\n [0, 2, -3, 2],\n [-1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[0, -3, -2, -3],\n [-3, -3, 2, -4],\n [-2, -3, -2, 4],\n [-2, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[1, -4, -4, 3],\n [4, 3, -2, -1],\n [3, -2, 3, 2],\n [3, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -4, 2],\n [-3, -3, 2, 4],\n [4, 1, -3, -3],\n [3, -3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -4, -1],\n [-4, 3, 0, -2],\n [-1, 2, -4, 0],\n [-3, -2, -1, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -3, 2],\n [-1, -1, 1, 2],\n [-2, 2, 2, -3],\n [-4, 0, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0, 2],\n [-4, 3, 1, 2],\n [1, -2, 2, -3],\n [-1, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[3, 2, 2, 0],\n [2, -2, 3, -1],\n [2, 3, -3, 0],\n [0, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-163", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 0, 1],\n [4, 1, -1, 3],\n [2, 4, -4, 4],\n [3, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "706", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[4, 0, -2, -1],\n [0, 2, -2, -2],\n [-2, -2, 2, 2],\n [-1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -1, -2, -4],\n [-1, 0, -2, -1],\n [-2, -2, 1, 2],\n [-4, -1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1126", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 4, -4],\n [-1, 2, 0, -3],\n [4, -2, -3, 2],\n [-3, 3, -3, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -2, -3],\n [0, -2, 2, 1],\n [-2, 2, -3, -2],\n [-3, 1, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4954", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, 1, -4],\n [-1, -2, 0, 2],\n [1, 0, 3, -2],\n [-4, 2, -2, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, -1, 0, 1],\n [-1, 2, 0, -3],\n [0, 0, 3, 0],\n [1, -3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-4, 2, 0, 3],\n [2, 3, -2, 2],\n [0, -2, -1, 0],\n [3, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, 2],\n [0, 3, 3, 4],\n [0, 3, -3, -1],\n [2, 4, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11430", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 1, -2, 1],\n [4, 2, 1, 0],\n [-1, -3, -4, -3],\n [3, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4524", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 0, 2],\n [2, 3, 2, 2],\n [0, 2, -1, -2],\n [2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "883", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 1, -4],\n [4, -4, 3, -1],\n [1, 4, -4, -1],\n [-3, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14035", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 1, -1],\n [-4, -2, -1, 3],\n [0, -2, -2, -3],\n [2, -4, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 4, 2],\n [0, 2, 0, 0],\n [4, 0, 2, -1],\n [2, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "715", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -4, -1, -1],\n [0, -2, -4, 0],\n [3, -3, 3, -4],\n [3, 4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 2, -3],\n [0, 1, -1, -2],\n [1, -2, 4, 4],\n [2, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2422", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-1, 0, 3, -4],\n [0, 1, 0, 1],\n [3, 0, 0, -3],\n [-4, 1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-620", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[0, -2, -2, 0],\n [-2, 3, 3, 2],\n [-2, 3, 1, 0],\n [0, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, -4, 1],\n [2, 1, 1, 0],\n [-4, 1, -4, 2],\n [1, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1294", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 0, 0],\n [0, -1, -2, 0],\n [0, -2, 2, 0],\n [0, 0, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "421", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -2, -2],\n [-2, 3, -2, 0],\n [-2, -2, -2, 0],\n [-2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "562", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, 1, 2],\n [-4, -2, 4, 3],\n [-4, 2, 0, -3],\n [-1, 4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8930", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[2, 3, 1, -1],\n [4, -4, -3, -1],\n [2, 1, 0, -1],\n [1, 4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 3, -4, -2],\n [0, 0, 0, -2],\n [1, 1, 1, -4],\n [0, -2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 3, -3],\n [-3, -4, -4, -3],\n [0, 2, 4, 1],\n [-4, 2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -2, -4],\n [2, 2, 0, 4],\n [4, -3, -2, -4],\n [-2, -4, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "680", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[0, -3, -2, 0],\n [-3, -2, 0, 0],\n [-2, 0, -3, -3],\n [0, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -3, 0, 2],\n [-3, -2, 2, 0],\n [0, 2, 0, 1],\n [2, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "535", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -2, 2, 2],\n [-2, 3, 0, 0],\n [2, 0, 0, -2],\n [2, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4493", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -2, 0],\n [1, 0, 0, 2],\n [-2, 0, 2, 0],\n [0, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[0, 2, 0, 0],\n [2, 3, 2, 0],\n [0, 2, 2, -2],\n [0, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, 1, 0],\n [-2, 4, 0, 2],\n [1, 0, 0, 3],\n [0, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "324", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -3, 1, -3],\n [-1, -2, 1, 1],\n [-3, 4, 3, -4],\n [3, 4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-450", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, -2, 2],\n [-2, 0, 2, 2],\n [-2, 2, -2, -3],\n [2, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1749", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 3, -4, -2],\n [1, -2, 1, -4],\n [3, 4, -4, -3],\n [-2, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2, -4],\n [0, -3, 0, -3],\n [2, 0, 0, 2],\n [-4, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1061", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[1, 4, -2, 4],\n [-4, -2, 1, -3],\n [3, -2, -2, -1],\n [0, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -2, -4],\n [2, -2, 0, 0],\n [-2, 0, 3, -1],\n [-4, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13657", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -2, 1, 1],\n [3, 3, -2, 2],\n [2, 3, 1, -4],\n [-1, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "899", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -2, 4],\n [3, 0, 1, -3],\n [-2, 1, 2, 4],\n [-4, 3, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1058", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 1],\n [0, -4, -1, 0],\n [2, -1, -3, -2],\n [1, 0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, 4, 3],\n [-4, -2, -3, 2],\n [-2, -3, -2, -2],\n [3, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "725", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, -1, 2],\n [3, 4, -3, 1],\n [-2, -1, 4, -2],\n [-3, 1, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, 2, -3],\n [-1, 4, -4, 3],\n [-4, 2, -3, -1],\n [4, 0, 2, -4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-828", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, 0, 2, 0],\n [0, -1, 2, -1],\n [2, 2, 1, 1],\n [0, -1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 2, 4],\n [-4, -1, 3, -1],\n [4, 0, 2, -2],\n [-3, -4, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "714", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[3, 3, 1, -1],\n [-3, 1, -1, -2],\n [-1, -1, -4, -1],\n [3, -4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 4, 1, -1],\n [4, 2, -3, -4],\n [4, 2, 1, 0],\n [2, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-1, 2, 0, 4],\n [2, 3, 0, -2],\n [0, 0, -4, 2],\n [4, -2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 0, 3, 0],\n [0, 2, -1, -1],\n [3, -1, -4, 0],\n [0, -1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1813", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[0, 4, 0, 1],\n [-3, 4, 2, -1],\n [2, -3, -3, -2],\n [4, 3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, -3, -2],\n [-1, 1, 1, 3],\n [-2, -2, 2, 0],\n [0, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -3, 0, 4],\n [3, -2, 4, -4],\n [0, -3, -3, 4],\n [-4, -1, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 2, -3],\n [1, -4, -4, -4],\n [-4, 0, -2, -2],\n [3, 1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-533", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, 0],\n [0, -2, 0, 2],\n [0, 0, -1, 0],\n [0, 2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 2, -1],\n [-3, -2, 0, 1],\n [2, 0, -1, -1],\n [-1, 1, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, 3, -1, -1],\n [2, -2, 3, 3],\n [-3, -2, 2, -4],\n [0, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -4, 3],\n [-2, -4, 2, -2],\n [3, 1, 4, -3],\n [-2, 3, 0, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -3, 3, -4],\n [3, 4, -4, 0],\n [4, 2, 2, 0],\n [1, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14824", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2, 2],\n [0, -3, 2, -4],\n [-2, 2, 2, -2],\n [2, -4, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -1, -1, -2],\n [-4, -1, -4, 1],\n [-3, 2, -4, 2],\n [-3, 1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2512", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, -2, 0],\n [0, -1, -2, -4],\n [1, -1, -1, 1],\n [3, 1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, -3, 2],\n [-2, 2, 0, 0],\n [2, -3, 4, 3],\n [2, -2, 3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1110", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -2, 3],\n [0, 4, 0, 1],\n [-2, 0, 4, 0],\n [3, 1, 0, 4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-552", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, 4, 4],\n [4, 2, -2, -4],\n [-3, -3, 3, 3],\n [-3, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3450", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 3, 3],\n [3, 2, -1, -2],\n [0, 1, -1, 0],\n [4, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "449", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -4, -1],\n [4, 2, -1, 4],\n [4, 4, 0, 4],\n [1, 3, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1080", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, 2, 2],\n [-2, 3, 0, 0],\n [2, 0, 2, 0],\n [2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, 2, -1, 4],\n [2, -1, 1, 0],\n [-1, 1, -4, -2],\n [4, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, -1, 0],\n [0, -3, 1, -3],\n [1, -2, -4, -2],\n [-1, 0, -3, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, -2, 4],\n [-4, -2, -1, -3],\n [0, -2, -2, -1],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2870", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -2, -3],\n [0, 4, 0, 2],\n [-2, 0, -4, 1],\n [-3, 2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, 0, 2, 2],\n [0, -1, 1, -2],\n [2, 1, 1, 0],\n [2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -2, 0],\n [0, 1, -2, 2],\n [-2, -2, 4, 0],\n [0, 2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3521", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -4, -4],\n [-1, -1, -2, 1],\n [0, -4, 2, -2],\n [4, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "666", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, 0, -2],\n [-2, 4, 2, 2],\n [-2, -2, 1, 3],\n [1, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "454", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 0, 1],\n [2, -4, -1, 1],\n [0, -1, -3, -1],\n [1, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "715", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-3, -2, 4, -1],\n [0, 3, 4, 2],\n [-2, -2, -2, 4],\n [0, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, -2, -3],\n [-1, 3, -4, 3],\n [-2, 3, -3, -2],\n [-1, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "567", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 4, -1],\n [-4, -4, 0, -3],\n [4, -2, -4, 1],\n [-2, 2, -3, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "418", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 2, 0, 0],\n [2, 2, 1, -1],\n [0, 1, 0, 0],\n [0, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[3, -1, -3, 3],\n [3, -4, -2, 1],\n [-3, 0, 1, 1],\n [-4, 2, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, 1, -1],\n [-1, 4, 0, 0],\n [1, 0, 3, -3],\n [-1, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "479", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 3, -2],\n [2, -3, -3, -1],\n [-2, 2, -2, -2],\n [4, 0, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "432", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 1, -1],\n [0, -1, -2, -4],\n [2, 1, 4, 4],\n [-4, 1, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 2],\n [0, -3, -2, 0],\n [0, -2, -2, -2],\n [2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2589", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 0, -2],\n [2, -1, -1, -1],\n [0, -1, 0, 2],\n [-2, -1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -4, 0],\n [0, 2, -2, 1],\n [-4, -2, -1, 0],\n [0, 1, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2619", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[2, -1, 2, 2],\n [-1, 2, -3, 0],\n [2, -3, 0, 0],\n [2, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, -1, 0],\n [1, 0, -1, 0],\n [-1, -1, 1, 4],\n [0, 0, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "836", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, 2, 1],\n [1, -3, -3, 2],\n [-2, -4, -3, 2],\n [3, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[0, -2, 3, -3],\n [-4, -3, -1, -3],\n [-4, 0, -3, 4],\n [0, 3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -1, 4],\n [0, 4, 0, 0],\n [-1, 0, -2, 0],\n [4, 0, 0, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -3, -2, 3],\n [-2, 1, -3, 0],\n [-2, 4, -4, 4],\n [4, 1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6720", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, 0, 0],\n [-4, 1, 1, 0],\n [0, 1, 2, 0],\n [0, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1107", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[3, -3, -1, 4],\n [-1, -2, -4, 4],\n [-3, -2, 4, 2],\n [2, -2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -4, 0, 2],\n [2, -2, 3, 0],\n [0, 4, -4, -3],\n [-1, -4, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, -4, 3],\n [1, 0, -2, -2],\n [-4, -2, 3, 4],\n [3, -2, 4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15327", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 4, -2],\n [4, 1, -4, 1],\n [0, 1, -4, -1],\n [-2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 3, 2, -4],\n [-4, -1, -1, 2],\n [-3, 0, -1, 0],\n [0, -3, 4, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, 1, 0, 2],\n [1, -4, -2, 2],\n [0, -2, 1, -2],\n [2, 2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 2, -3],\n [0, 2, 4, -1],\n [3, -2, 0, 2],\n [2, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "669", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -4, -3, -3],\n [1, 0, -1, 0],\n [-1, 3, 2, -1],\n [3, -4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 4, -2, 1],\n [3, 4, 2, -2],\n [-1, 1, -1, 1],\n [4, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1033", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, 2, 2],\n [1, 2, 0, 2],\n [2, 0, 0, 1],\n [2, 2, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "480", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[3, -2, -4, 3],\n [-3, -2, -1, -2],\n [-1, 3, 3, -1],\n [-1, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 4, -1],\n [2, -1, 0, -4],\n [2, -1, 1, -2],\n [1, 1, 4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "492", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-4, 3, 2, 4],\n [4, -3, -1, -2],\n [-1, -4, -3, -1],\n [2, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1933", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, -2, 0],\n [2, -4, 0, 2],\n [-2, 0, 0, 1],\n [0, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 0, -1, 3],\n [0, 1, 2, -1],\n [-1, 2, -1, 0],\n [3, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2688", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, 0, -2],\n [-1, -3, -2, 0],\n [0, -2, 4, 1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, -4, 0, 0],\n [-3, 2, 0, 1],\n [-1, 0, 1, 4],\n [0, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[3, 0, 2, 2],\n [-2, 1, 1, -1],\n [0, 2, 2, 1],\n [-3, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 4, -1, 2],\n [4, 0, -2, 0],\n [-1, -2, 4, -1],\n [2, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1469", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, -4],\n [0, -3, 2, 1],\n [-2, -1, 1, 3],\n [3, -1, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, -4, -4, -4],\n [-1, -3, 2, 1],\n [2, 3, 2, -4],\n [1, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[3, 1, 0, 2],\n [1, 2, 2, -2],\n [0, 2, -2, 3],\n [2, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -4, 0],\n [-2, 2, -2, 0],\n [-4, -2, 0, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "920", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -3, -2],\n [-3, 2, 1, 0],\n [-3, 1, 3, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1658", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, -2, 0],\n [2, 0, -1, -2],\n [-2, -1, 1, -2],\n [0, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "993", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, 2, 2],\n [-4, 1, 1, -2],\n [-2, 4, -1, -3],\n [-4, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1068", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, -2],\n [-3, 2, 1, 0],\n [0, 1, 1, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1728", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, 0],\n [-1, -2, 1, 0],\n [0, 1, -2, 0],\n [0, 0, 0, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, -2, -2],\n [0, -4, 1, 2],\n [-2, 1, 2, 2],\n [-2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1803", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 1, 4],\n [3, 0, 3, 3],\n [-4, -1, -1, 4],\n [-3, 1, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4255", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -4, 0, -1],\n [-4, -2, 4, -1],\n [1, 2, 1, 3],\n [-2, -2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1590", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[3, -1, 0, -1],\n [2, 0, -2, -1],\n [2, -1, 2, -1],\n [1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[4, -2, 2, -1],\n [-2, -3, 0, 2],\n [2, 0, -3, 0],\n [-1, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, 2, -2],\n [2, -3, -3, 0],\n [2, -3, 2, 2],\n [-2, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 0, -4],\n [0, 0, -1, -2],\n [2, 2, 1, -2],\n [-3, -1, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 0, 3],\n [-2, 1, 0, -3],\n [0, 0, -2, -3],\n [3, -3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5316", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 0, 1],\n [-2, -1, 0, 1],\n [0, 0, 3, -2],\n [1, 1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2670", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, -4],\n [0, 1, 0, 0],\n [-2, 0, 2, -2],\n [-4, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12598", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -1, -3, 2],\n [1, 2, 1, -4],\n [-4, -2, 1, 2],\n [4, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1558", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -3, 3],\n [-2, 3, 2, -2],\n [-3, 2, -4, -2],\n [3, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-320", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-4, 1, 1, 2],\n [4, -3, 2, 1],\n [1, 3, 1, 3],\n [2, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 4, -4],\n [-2, -3, 1, 0],\n [2, 3, 1, 4],\n [-3, -3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3903", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -4, -2],\n [0, 2, 1, 0],\n [-4, 1, -4, 0],\n [-2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9975", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0, 0],\n [0, -2, -4, -2],\n [0, -4, 3, -2],\n [0, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-334", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -4, 0],\n [0, -1, 1, 0],\n [-4, 1, -1, -2],\n [0, 0, -2, 3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, 3, -3],\n [-2, 0, 1, 2],\n [-4, 2, 3, 1],\n [-2, -2, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1088", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[1, 0, 2, 2],\n [0, 0, 0, 2],\n [2, 0, -3, 2],\n [2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 1, 2],\n [0, 0, 0, -2],\n [1, 0, -3, 0],\n [2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1350", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 0, 0],\n [0, 0, 0, 4],\n [0, 0, 2, 2],\n [0, 4, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3470", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, 1, -2],\n [-1, 3, -1, 0],\n [4, -3, 0, 3],\n [2, 0, -4, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, -1, 0],\n [1, -2, 0, -2],\n [-2, -4, 0, 2],\n [-2, 4, 2, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 4, -4],\n [3, 3, 2, -3],\n [-3, 0, 4, -1],\n [1, 0, 3, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, 4, 2],\n [1, -1, 0, 2],\n [4, 0, 2, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "886", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-1, 3, 3, -3],\n [-1, 3, 0, 4],\n [-1, -3, -4, 4],\n [1, -2, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, 0, 0, -2],\n [0, -3, 3, 0],\n [0, 3, -3, 0],\n [-2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -3, 1, -2],\n [0, -2, 2, 2],\n [-1, 4, 4, 3],\n [-2, -4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4250", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, -3, -2],\n [3, 1, -3, 1],\n [-2, 3, -2, 0],\n [2, -2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, -3, 2],\n [-1, -2, 3, 1],\n [-2, 1, 4, 2],\n [3, -1, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-1, 0, 1, 0],\n [0, -1, -2, -1],\n [1, -2, -2, 2],\n [0, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -3, 3, -3],\n [-2, -3, 0, -2],\n [-2, 0, -3, -2],\n [4, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-580", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -2, 0],\n [0, -3, 1, 0],\n [-2, 1, -4, 2],\n [0, 0, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 1, 3, -1],\n [-1, 4, 0, 1],\n [-3, -4, 0, -2],\n [-3, 4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "553", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, 3, 1],\n [4, 1, -1, 4],\n [-3, -1, -1, -3],\n [1, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "438", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -2, -2],\n [0, 2, 0, -3],\n [3, 2, -3, 2],\n [0, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, -4, -1],\n [4, 0, 3, 4],\n [4, -3, -3, -3],\n [-4, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3394", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, 1, 0],\n [-4, -2, -4, -4],\n [-1, 1, -4, 0],\n [-1, -4, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6571", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -3, 4],\n [2, -1, -4, -4],\n [-1, 3, -3, 4],\n [-4, -3, 4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1746", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-4, 4, -3, -2],\n [4, -2, -1, 0],\n [2, 1, 2, -2],\n [0, 4, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 0, 0],\n [1, -2, 0, 0],\n [0, 0, -4, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 0, -3],\n [-1, 4, 0, 4],\n [0, 0, 3, -2],\n [-3, 4, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-393", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -2, -4],\n [0, -2, 0, -2],\n [-2, 0, -1, 0],\n [-4, -2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "673", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 0, -2],\n [2, -2, 2, 0],\n [0, 2, 4, -3],\n [-2, 0, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1722", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-3, 0, 0, 2],\n [0, 1, 0, -2],\n [0, 0, 3, -2],\n [2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, 0, -4],\n [2, -2, 0, -1],\n [0, 0, 1, 0],\n [-4, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -4, 4],\n [-4, 4, -2, -1],\n [2, 0, -1, 2],\n [0, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "952", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 1, 3],\n [0, 0, 2, 2],\n [1, 2, -1, -3],\n [3, 2, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7039", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 0],\n [-2, 0, 0, 2],\n [2, 0, -4, 0],\n [0, 2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1485", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -4, 4, 3],\n [1, -4, -2, -4],\n [-2, 1, -2, -3],\n [1, -4, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "879", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, 2, -2],\n [4, 3, -2, -2],\n [4, 2, -2, 3],\n [0, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 3],\n [0, -3, -4, 0],\n [2, -4, 1, -2],\n [3, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -4, -4, 4],\n [0, 3, 4, -2],\n [-2, 1, -4, 2],\n [3, -3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15768", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, -2, 1],\n [-2, 1, 0, -4],\n [-2, 0, 2, -2],\n [1, -4, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -2, 3],\n [-4, 2, -4, -3],\n [3, 3, 1, -1],\n [4, 1, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "799", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -2, -2],\n [-2, 1, -2, 0],\n [-2, -2, 4, -2],\n [-2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "665", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -4, 0, 3],\n [-2, -3, -1, 4],\n [-2, -2, -1, 0],\n [2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2938", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, -2, 1],\n [-2, -1, 0, 2],\n [-2, 0, -2, 3],\n [1, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, -4, 4],\n [3, -2, 2, 4],\n [-1, 3, -2, -3],\n [-3, -4, 4, -3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1580", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, -4, -2],\n [0, 4, 3, -3],\n [0, 1, -4, -3],\n [4, -4, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9005", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, 0],\n [0, -2, -2, 0],\n [-1, -2, -3, 0],\n [0, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1880", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[0, -2, 0, -2],\n [-2, -4, -1, 0],\n [0, -1, -2, -1],\n [-2, 0, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 0, 0],\n [-2, 4, -4, -1],\n [0, -4, -4, 0],\n [0, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-529", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 4, 2],\n [1, 2, -4, 3],\n [-1, -4, 0, 2],\n [0, -1, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "895", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[4, 2, -2, -3],\n [4, -1, 3, -2],\n [1, -4, -4, -2],\n [1, 1, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, 0, 2, -1],\n [0, 1, -2, 2],\n [2, -2, 4, -1],\n [-1, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, -3, -4],\n [-1, 4, -1, 1],\n [-1, 1, -1, -3],\n [0, -2, -4, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2588", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[3, 0, -2, 2],\n [0, 0, -1, -2],\n [-2, -1, 0, -3],\n [2, -2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-4, 2, 0, 3],\n [0, 0, 2, 1],\n [1, -1, 2, 3],\n [-4, 0, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[4, 2, 4, -3],\n [2, -3, 0, 0],\n [4, 0, -3, -4],\n [-3, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1008", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, -4, -3],\n [-4, 3, -4, -1],\n [-4, 1, -4, 0],\n [-1, 4, -1, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 0, -3],\n [0, -4, -2, -2],\n [0, -2, -3, 2],\n [-3, -2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7482", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, -4, -1],\n [-2, 0, -4, -2],\n [-4, -3, 1, 1],\n [-1, -4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5309", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, 0, -1],\n [-3, -2, -2, 0],\n [0, -2, 1, 0],\n [-1, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "579", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 4, 1],\n [-2, -3, -4, -4],\n [-2, 4, -2, 4],\n [2, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2403", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 1, 1, 1],\n [3, 4, 4, -2],\n [-1, -3, 3, 1],\n [0, -2, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2812", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 0, -1, -2],\n [2, 0, 1, 0],\n [3, -1, 2, -1],\n [-3, 1, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1496", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, -3, 0],\n [0, 1, -3, 4],\n [2, -1, -2, 0],\n [3, 0, 0, 4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "364", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, -3, 3],\n [-1, 2, 1, 2],\n [2, 3, -2, 0],\n [1, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "644", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -4, -2, -3],\n [0, 0, -3, 0],\n [-1, 2, 1, 1],\n [-2, -3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1759", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[0, 0, -2, 0],\n [0, -4, -2, 0],\n [-2, -2, -4, 2],\n [0, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-670", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 0, 0],\n [-2, -2, 1, 0],\n [0, 1, -2, -3],\n [0, 0, -3, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 3, 3],\n [4, 0, 0, -4],\n [-3, 3, -4, 1],\n [1, 2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15658", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[0, 0, 0, -2],\n [0, 4, -1, 0],\n [0, -1, 4, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, 4, 0],\n [1, -3, -2, 3],\n [-4, 2, 1, 3],\n [2, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "812", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, 4],\n [0, 2, 2, 0],\n [-1, 2, 1, 2],\n [4, 0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2400", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[4, 0, -2, -3],\n [0, 2, 0, 1],\n [-2, 0, 4, 1],\n [-3, 1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "588", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -4, 3],\n [3, -2, 3, 0],\n [0, -3, 1, 2],\n [-4, 4, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -2, -2],\n [2, 3, -1, 0],\n [-2, -1, 4, 4],\n [-2, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24622", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, -2, 0],\n [0, 3, -4, 1],\n [-2, -4, -1, 3],\n [0, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1064", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, 4, -3],\n [3, -3, -3, -2],\n [0, 1, 1, 3],\n [-4, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, -2, 4],\n [-1, -2, -2, 4],\n [4, 4, 0, 4],\n [1, 2, -1, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 4, 2, 0],\n [4, 1, -1, 1],\n [2, -1, -3, 1],\n [0, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4059", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, -1, -4],\n [4, 4, -1, 0],\n [4, -3, -4, -4],\n [1, 1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, 3],\n [4, 0, 0, -1],\n [4, 1, 1, -2],\n [-4, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, 4, 1],\n [-3, -1, -1, -1],\n [-3, -2, 2, -2],\n [-1, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, 4, 0],\n [-1, 1, 1, 1],\n [-1, -2, 0, 3],\n [0, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[0, -3, 2, -2],\n [-3, 4, 2, 0],\n [2, 2, 1, 0],\n [-2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 0, -2],\n [2, -3, 4, -2],\n [0, 4, 3, 0],\n [-2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, 3, -2],\n [1, 1, 0, 1],\n [3, 0, -3, -2],\n [-2, 1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1318", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[0, 2, 2, -2],\n [1, -3, -4, -1],\n [3, 4, 1, 3],\n [3, -4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, -2, 2],\n [-4, -4, 1, -1],\n [0, 2, 4, 1],\n [4, -3, 4, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "664", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 1, 1, 2],\n [1, 0, 0, -1],\n [1, 0, 1, -2],\n [2, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 4, 3, 1],\n [0, -2, 4, 3],\n [1, 0, 1, 3],\n [-3, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[0, 0, 2, -4],\n [0, -1, -2, 0],\n [2, -2, -1, -4],\n [-4, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 2, -3],\n [-3, -1, -1, 1],\n [3, -4, 0, 0],\n [4, -3, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1228", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, -2, -2, 2],\n [0, 0, -1, 1],\n [0, 3, -3, 1],\n [1, 1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "515", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0, -4],\n [2, -2, -1, 0],\n [0, -1, -4, 0],\n [-4, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, 0],\n [0, 1, 0, 3],\n [0, 0, -1, 2],\n [0, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -1, -4],\n [-4, 0, -4, 3],\n [-2, -3, 0, 3],\n [-3, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1237", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-2, 1, 3, 4],\n [-2, 4, -4, -2],\n [0, 1, -2, -3],\n [4, -4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, -3, 0],\n [2, -1, 2, 4],\n [-3, 2, -4, 2],\n [0, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5543", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[3, -1, 4, -4],\n [-3, -1, -2, -3],\n [-4, 4, -2, 4],\n [3, 4, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, -4],\n [0, -4, -2, 0],\n [0, -2, -3, 0],\n [-4, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-426", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[2, 3, 1, 3],\n [0, 4, 0, -4],\n [1, -1, -2, -3],\n [0, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, 4, -1],\n [1, -4, -2, 0],\n [4, -2, -1, 0],\n [-1, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "887", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 1, -2],\n [0, 0, -2, 0],\n [4, -1, -4, 0],\n [3, -1, 4, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 4, -2],\n [-3, -3, 1, 0],\n [1, 0, 0, 2],\n [2, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -1, 3],\n [0, -3, 0, 0],\n [-1, 0, -4, -2],\n [3, 0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -1, -1],\n [-2, -2, -2, 2],\n [1, 2, 0, 3],\n [-1, -2, 3, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 4, 2, 1],\n [3, 4, 4, -4],\n [-2, 4, 1, 3],\n [-4, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11869", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 4, 1],\n [-2, 2, 2, 0],\n [4, 2, -3, 2],\n [1, 0, 2, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-3, -4, 3, 0],\n [-3, 2, 4, -2],\n [2, 0, 2, 3],\n [-1, -1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 2, 0],\n [0, -2, 0, -2],\n [2, 0, -4, 0],\n [0, -2, 0, 2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[3, -3, -2, 0],\n [-2, -3, -3, -4],\n [4, 0, -4, -4],\n [-2, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, -4, 2],\n [-2, 4, 0, 0],\n [-4, 0, -3, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1118", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, -3, 0],\n [-2, 0, 4, 2],\n [-3, 4, -4, 2],\n [-1, -1, -3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, 2, -2],\n [-1, 2, -4, 0],\n [2, -4, 3, 1],\n [-2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12911", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-4, 0, 0, -2],\n [0, 3, 0, 0],\n [0, 0, 1, 3],\n [-2, 0, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[3, 4, 2, 4],\n [1, 1, -3, 1],\n [-2, -3, -3, 4],\n [0, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, 2],\n [-2, 4, -3, 0],\n [2, -3, -2, -1],\n [2, 0, -1, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, 2, -4, 0],\n [2, 3, 2, 0],\n [-4, 2, -4, 4],\n [0, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 1, 2],\n [3, 3, 0, -4],\n [1, 4, 4, 4],\n [4, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7618", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -4, 0],\n [-3, 3, 2, -2],\n [-4, 2, -3, 2],\n [0, -2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1323", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, -2, -1, -1],\n [-3, 1, 4, -3],\n [1, 3, 3, 2],\n [3, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 0, -2],\n [-2, -4, 0, 0],\n [0, 0, 3, 0],\n [-2, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-901", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -4, -1, 1],\n [-2, -1, -2, -1],\n [2, 3, 0, 2],\n [3, -3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2560", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -1, 0, -4],\n [0, -1, -3, 4],\n [2, 4, 1, 4],\n [-1, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "765", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 1, -1],\n [-2, 4, -1, 0],\n [4, 2, -2, 0],\n [-2, 3, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "453", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, 1, 0],\n [-1, -4, 0, -2],\n [1, 0, -4, 0],\n [0, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3836", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, -2, 2],\n [2, 1, -3, 2],\n [-2, -3, 4, -3],\n [2, 2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "517", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-2, 4, -4, 2],\n [-3, -1, -2, -4],\n [0, -1, 3, -4],\n [4, 1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 1, 2],\n [0, -1, -1, -2],\n [1, -1, -3, 2],\n [2, -2, 2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 4, -1],\n [0, 0, 2, 2],\n [4, 2, 0, 0],\n [-1, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 1, -2],\n [0, 2, -1, -4],\n [-3, 3, 3, -3],\n [-2, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 2, -1],\n [2, 2, 1, 0],\n [2, 1, -4, 4],\n [-1, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, 2, 2],\n [-1, 4, -2, -2],\n [2, -2, 2, 2],\n [2, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7713", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -2, 0],\n [0, 0, 2, 0],\n [-2, 2, -4, -4],\n [0, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-576", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -3, 0, -2],\n [1, -4, 4, -1],\n [2, -3, -3, -3],\n [-3, 2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3024", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -4, 1, -2],\n [4, 0, -3, 4],\n [-4, 1, 0, 4],\n [1, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1179", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0, -4],\n [-3, -3, 1, -2],\n [-2, -1, -4, 1],\n [0, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8530", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 0, -1],\n [-2, -2, 1, -2],\n [0, 1, 1, 4],\n [-1, -2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 4, 4, 0],\n [1, -3, -2, 4],\n [4, 3, -3, 0],\n [-2, -4, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, -3, -4],\n [4, 4, -2, -3],\n [-2, 2, 3, -1],\n [-2, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1730", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, -3, 2],\n [-3, -2, -2, -2],\n [3, 4, 2, 3],\n [3, 4, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3984", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -4, -4],\n [-1, -4, -3, -4],\n [3, 1, 4, -3],\n [-3, -2, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1897", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -4, 4, 1],\n [0, 2, -3, -3],\n [2, 1, 2, 0],\n [4, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1094", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 4, -2],\n [2, 1, 0, 0],\n [4, 0, 2, 1],\n [-2, 0, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "997", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 3, 3],\n [2, 0, -3, -1],\n [3, -3, -4, 1],\n [3, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13475", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -1, 0],\n [3, -2, -4, 4],\n [2, 4, 3, -3],\n [1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 1, 3],\n [3, 4, -3, 2],\n [4, 4, 4, 0],\n [-4, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1032", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -1, 2],\n [2, 1, 1, -4],\n [-1, 1, -4, 2],\n [2, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1793", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0, -3],\n [0, 1, 2, -2],\n [0, 2, -4, -3],\n [-3, -2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-237", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -4, -3, 0],\n [-2, 4, 3, 4],\n [0, 2, 0, -3],\n [-3, 2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3502", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 4, 4],\n [0, -2, 1, 1],\n [3, 1, 3, -3],\n [1, -1, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "614", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, 0, 4],\n [0, -3, 0, 3],\n [1, 4, 3, 2],\n [1, -2, 0, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 1, -3],\n [0, -2, 2, -1],\n [-4, 2, 4, 0],\n [3, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2186", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, -3, 3],\n [-3, 0, -3, 4],\n [3, -1, 0, 2],\n [4, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "964", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -1, 0, -2],\n [-1, -1, -2, 3],\n [0, -2, -1, 0],\n [-2, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "918", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -2, 3],\n [2, 3, 4, -3],\n [4, 1, 4, 0],\n [1, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "780", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-3, -3, -4, 4],\n [4, 2, 4, -1],\n [4, -1, -2, -3],\n [-2, 1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "575", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 0, 4],\n [-1, -2, 3, 4],\n [-1, 4, 4, 3],\n [0, -3, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1007", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-4, -3, -4, 1],\n [-3, 3, 1, 3],\n [-4, 1, -4, -2],\n [1, 3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 4, 3, 3],\n [2, -2, -1, 2],\n [0, -1, 3, 4],\n [0, -3, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4789", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, 0, 0],\n [-4, -4, 2, -2],\n [0, 2, -1, 2],\n [0, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-4, 2, 1, 0],\n [2, 1, -1, -2],\n [1, -1, 2, 0],\n [0, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[1, -2, 4, -4],\n [0, 4, -4, -1],\n [-3, 4, 2, -4],\n [-1, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[4, 1, -4, -2],\n [1, -3, 4, 0],\n [-4, 3, -4, -3],\n [4, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -4, -4],\n [0, -2, 3, 0],\n [3, -3, -3, -1],\n [3, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "566", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0, 2],\n [2, -4, 1, 0],\n [0, 1, 1, 2],\n [2, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, -2, 2],\n [2, 0, -1, 0],\n [-2, -1, 3, -2],\n [2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "486", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[0, -3, -2, 3],\n [-1, 2, 4, -1],\n [-3, 4, 0, -1],\n [-2, 3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-675", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 4, 0],\n [-3, -1, 0, 1],\n [-3, 0, 1, -4],\n [0, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2970", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-2, 2, -4, -3],\n [2, -3, -3, 3],\n [-1, 4, 3, 3],\n [-2, -4, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -4, 0, 0],\n [-4, 4, 4, 0],\n [0, 4, -4, -2],\n [0, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8928", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[4, -3, 3, 0],\n [-3, -4, 1, 3],\n [3, 1, 2, -3],\n [0, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -4, -2, -4],\n [-3, 4, -2, 1],\n [-2, -1, 2, 4],\n [2, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1708", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -1, 1, -2],\n [-1, 3, -1, 2],\n [1, -1, -4, 0],\n [-2, 2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2365", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, -1, 1],\n [3, 0, -1, -4],\n [1, 2, -1, 3],\n [2, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[3, -2, 0, 0],\n [-2, 1, -3, -2],\n [0, -3, 0, -2],\n [0, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 3, 1, 4],\n [-3, 4, 4, -3],\n [-4, -4, -3, 4],\n [-2, 4, 2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3998", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 1, 0],\n [1, -2, 3, 0],\n [1, 3, 0, 1],\n [0, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "269", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, -2, 0, -4],\n [-2, 4, 2, 0],\n [0, 2, -4, 0],\n [-4, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 2, 3],\n [-1, 1, -2, 2],\n [2, -2, 4, -3],\n [-4, -3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "709", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, -2, 1],\n [2, 2, -4, 4],\n [-2, -4, -3, 0],\n [1, 4, 0, -3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-984", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, -2, 1],\n [1, -3, -1, 2],\n [-4, -3, 3, -3],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1435", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, 4, -4],\n [-4, 4, 3, 0],\n [2, -2, -1, 3],\n [1, 0, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-499", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -3, 4, -2],\n [-3, 2, 2, 0],\n [4, 2, 2, -2],\n [-2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1827", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2, 0],\n [1, -3, -2, -1],\n [2, -2, 1, 0],\n [0, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "519", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, -1, 0],\n [3, 3, 0, -3],\n [-1, 0, -4, 0],\n [0, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1260", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-2, 1, 2, 3],\n [1, 0, -2, 1],\n [2, -2, -3, 2],\n [3, 1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -2, 2],\n [-2, 1, -2, -3],\n [-2, -2, -4, 0],\n [2, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5190", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 2, 0],\n [-2, -1, -2, 2],\n [2, -2, 4, 0],\n [0, 2, 0, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, -1, 0],\n [-3, 2, 4, -3],\n [3, -3, 0, 3],\n [4, 4, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, -3, 2],\n [0, -4, 0, -4],\n [-3, 0, -1, -4],\n [2, -4, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1538", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, -4, 2],\n [-3, 2, -3, -4],\n [0, -2, -1, -2],\n [1, -2, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6476", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, -2, 3, -1],\n [0, 3, -3, 3],\n [3, 2, 1, -1],\n [1, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[2, 0, -2, 0],\n [3, 0, -3, 2],\n [-2, 1, -3, -4],\n [3, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 3, 0, -3],\n [1, 2, -4, 1],\n [1, -1, -3, -4],\n [1, -3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -3, 1, 3],\n [-2, 4, 3, 3],\n [-2, -4, 4, -2],\n [2, -4, -3, 1]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[1, -4, 0, 3],\n [-1, 1, 1, -2],\n [-1, -3, -1, 1],\n [-1, 3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 1, -4],\n [0, 2, 1, 2],\n [1, 1, 3, -2],\n [-4, 2, -2, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-568", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[2, 4, 3, 2],\n [-2, -2, 2, -4],\n [-2, -3, 4, -2],\n [-1, -2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 1, 0, 1],\n [3, -3, 4, 1],\n [-3, -4, -2, 1],\n [2, -4, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3018", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[-4, 1, -2, 4],\n [-2, 3, -1, -4],\n [-4, 4, 3, 4],\n [4, -4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "971", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -3, 1],\n [0, 1, -3, -3],\n [3, -4, -4, 4],\n [1, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2415", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 2, 0],\n [1, -2, -2, -3],\n [4, -4, 2, 2],\n [2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[1, 0, -2, 0],\n [0, 1, 4, 2],\n [-2, 4, -1, 0],\n [0, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 0, -1],\n [-2, 3, 2, 2],\n [0, 2, -3, 0],\n [-1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-1, 0, -1, -3],\n [0, -2, 0, -2],\n [-1, 0, -4, 4],\n [-3, -2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 4, 2, 3],\n [4, 1, 3, -3],\n [-1, 3, -4, 0],\n [-4, 1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8358", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -2, -1, -2],\n [-2, -4, 0, -1],\n [-1, 0, 4, 0],\n [-2, -1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4299", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 0, -1],\n [-4, 3, 0, -2],\n [0, 0, -4, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5059", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -4, -2],\n [0, 0, 0, -4],\n [-4, -1, -2, -2],\n [-1, -1, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "744", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -3, 0, -2],\n [-3, 0, -2, -1],\n [0, -2, -2, 2],\n [-2, -1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2765", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, -4, 3],\n [4, 3, 0, -2],\n [-3, -3, -4, -4],\n [4, -4, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7614", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2, 0],\n [0, 4, 1, -2],\n [-2, 1, 2, -3],\n [0, -2, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1287", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[-2, 4, -4, 1],\n [-4, -4, 4, 2],\n [3, 2, -3, 1],\n [-1, -4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, 4, -1, 3],\n [-2, -1, -3, -4],\n [3, 1, -2, 1],\n [4, 0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0, -1],\n [2, -3, 2, 0],\n [-4, 3, -2, -4],\n [-4, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-980", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-1, -1, 1, 3],\n [4, 1, -3, 3],\n [-4, -1, 2, -4],\n [4, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -3, 4, -1],\n [-3, 1, -1, 4],\n [4, -3, 3, -1],\n [2, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13780", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, -3, 3],\n [-3, 4, -1, -2],\n [-3, -1, 4, 2],\n [3, -2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2540", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[2, 2, 2, 4],\n [2, -3, 2, 0],\n [2, 2, -4, 2],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "492", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[3, -1, 0, 2],\n [-1, 2, 1, -3],\n [0, 1, 3, 4],\n [2, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, 0, -2],\n [-2, -1, -2, 0],\n [0, -2, -1, 2],\n [-2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "470", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -4, 1, 4],\n [-3, 2, 1, 3],\n [1, -4, -4, -3],\n [-4, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, -1, -3],\n [3, -4, -3, 4],\n [-1, 0, -1, 1],\n [0, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4706", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, 0, -4],\n [-3, 0, -2, -1],\n [2, -2, 1, -1],\n [-4, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "869", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 0, 0],\n [-2, 0, 2, 0],\n [0, 2, 4, 1],\n [0, 0, 1, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 4, 2],\n [0, 2, -2, -2],\n [4, -2, 2, 1],\n [2, -2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 2, 0],\n [-4, -2, 2, 0],\n [2, 2, -3, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1480", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -2, -2, 3],\n [-2, 2, -3, 0],\n [-2, -3, -2, -2],\n [3, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-4, -1, -4, 4],\n [4, 1, 4, 1],\n [-3, -3, 4, -1],\n [-4, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-654", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[2, 1, -1, 1],\n [-2, -4, -2, 2],\n [4, 4, 3, 1],\n [4, 3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-394", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -2, 0, 1],\n [-4, 3, 4, -2],\n [1, 0, 2, 0],\n [3, 1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1011", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-3, 0, 2, 3],\n [3, -3, -4, -1],\n [-1, 1, -1, 2],\n [4, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 3, 4],\n [4, -3, -4, 4],\n [3, -2, -4, 2],\n [-1, -1, -2, -3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -4, -2],\n [0, 3, -2, -1],\n [-4, -2, -3, 2],\n [-2, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9489", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -4, 0, 0],\n [-4, 3, 2, 0],\n [0, 2, 1, -4],\n [0, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6539", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 2, -2, 0],\n [2, -2, -2, 0],\n [-2, -2, 3, 0],\n [0, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[1, 2, 0, 0],\n [2, -2, 2, 0],\n [0, 2, 3, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 0],\n [-3, 1, -3, -4],\n [3, -3, 0, -3],\n [-3, 1, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4698", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, 2],\n [1, 3, -1, -4],\n [0, 4, 4, -3],\n [1, 3, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 2, 2],\n [0, -3, -3, 0],\n [2, -3, 4, 2],\n [2, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9978", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, -1, 4],\n [-2, 0, 0, -3],\n [3, 4, 1, 4],\n [-4, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1176", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 1, 0, 0],\n [1, -3, 0, 0],\n [0, 0, -2, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, -2, 2],\n [0, 0, -3, -3],\n [-4, 1, -4, -4],\n [-2, 0, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1588", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-1, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, 0, 2],\n [0, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 4, -2],\n [1, -3, 4, 1],\n [3, -3, -4, -4],\n [4, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8021", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -2, 0],\n [-3, 3, 0, 4],\n [-2, 0, -4, 0],\n [0, 4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1242", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -2, 3],\n [0, 0, 2, -2],\n [-2, 2, -4, -4],\n [3, -2, -4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-262", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -4, -3, -3],\n [3, -3, -1, 4],\n [-3, -2, -4, -2],\n [3, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-395", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, 4, -1],\n [-2, -3, -4, 0],\n [4, -4, -1, 1],\n [-1, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2295", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -4, -3, 0],\n [1, 0, -1, -1],\n [0, 4, 4, 1],\n [-1, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -4, -2],\n [1, 0, 0, 0],\n [4, 1, -1, 4],\n [-4, -4, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -4, 4, 0],\n [-4, -4, 0, -2],\n [4, 0, 1, -1],\n [0, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1536", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, -2, 0],\n [-2, -4, 0, 2],\n [-2, 0, 4, 0],\n [0, 2, 0, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -4, -2],\n [-2, 3, 1, -2],\n [-4, 1, -4, 2],\n [-2, -2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1122", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, 0, -2, -1],\n [0, -2, -3, 0],\n [-2, -3, -2, 0],\n [-1, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-1, -4, 2, 0],\n [2, 2, -2, 0],\n [3, 3, 2, -2],\n [-2, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, 3, 0],\n [2, -2, 2, 3],\n [2, 0, 1, 1],\n [2, -1, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 2, 4],\n [2, -4, 0, 1],\n [2, 0, 0, -2],\n [4, 1, -2, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, 0, 2, -2],\n [0, 4, -3, 2],\n [2, -3, -1, 4],\n [-2, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, 4, -4],\n [-4, -4, -3, 4],\n [-3, -4, 3, -2],\n [0, -3, -3, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 2, -4],\n [0, -3, -3, 1],\n [2, -3, -3, -1],\n [-4, 1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-312", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 1, -3, 0],\n [3, 0, -4, 2],\n [-2, -2, -2, -4],\n [4, 1, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3172", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 2, 2, -1],\n [2, 1, -4, 3],\n [-2, 3, -1, 3],\n [4, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1404", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -4, 2, -2],\n [0, -1, -2, 1],\n [-2, 3, -2, -2],\n [2, -3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 2, -3],\n [-3, 0, -2, -4],\n [-3, 0, -4, -1],\n [3, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3667", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 1, -2, -1],\n [1, 2, 3, -2],\n [-2, 3, -1, -2],\n [-1, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-384", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 4, 0, -2],\n [4, -1, -2, 1],\n [0, -2, 0, 0],\n [-2, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "430", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-2, 0, -2, -3],\n [0, -3, 2, -4],\n [-2, 2, -2, -2],\n [-3, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[2, 1, 3, -3],\n [0, 2, -1, -4],\n [-1, 2, -3, 2],\n [3, 0, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[0, 4, -1, -4],\n [2, -3, -1, -1],\n [1, 0, 2, 1],\n [-4, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 1, -2, 2],\n [-3, 4, 1, -2],\n [0, -3, 3, 0],\n [4, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-2, -1, 1, -2],\n [1, -2, -4, 0],\n [1, 4, -3, 4],\n [0, -4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, 0],\n [-1, 0, -2, 2],\n [1, -2, 0, 2],\n [0, 2, 2, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -3, 4],\n [4, 1, -2, 3],\n [-3, -1, 0, -1],\n [-2, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "370", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -1, -2],\n [0, -1, 2, 4],\n [-1, 2, -3, -2],\n [-2, 4, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7710", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, -1, -1],\n [-1, -4, 0, -1],\n [0, -3, -3, -2],\n [-2, 4, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3249", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, -3, 1],\n [0, 1, 3, -3],\n [1, 4, 2, -2],\n [-3, 3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -2, -1],\n [4, -4, 4, 0],\n [-3, 1, 3, 0],\n [3, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "685", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[2, -3, 0, 4],\n [2, -3, 2, 2],\n [-2, -3, -4, 1],\n [1, 0, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-406", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, -2, 1],\n [3, 2, -3, -1],\n [4, 3, 2, -2],\n [-1, -1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-852", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, 0, 0],\n [-1, -1, 1, 0],\n [0, 1, -4, 0],\n [0, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 0, -4],\n [-3, 1, -4, 0],\n [-4, 3, -1, 1],\n [-1, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[4, 1, -3, 4],\n [2, 4, -4, 0],\n [-1, -4, 1, -1],\n [-3, 2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[0, 4, 1, -2],\n [2, 2, 1, -4],\n [-2, -1, -3, 0],\n [-3, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0, 1],\n [-2, 4, -2, 1],\n [0, -2, -1, 1],\n [1, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2700", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 2],\n [0, 3, 1, -1],\n [0, 1, 1, 2],\n [2, -1, 2, -4]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, 2, -3],\n [3, 2, 3, 3],\n [-3, -2, -1, 3],\n [-4, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3182", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, -2, -1],\n [4, 4, 1, -4],\n [4, 3, 2, 2],\n [3, -2, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8394", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 4, 2],\n [-1, 3, 0, 0],\n [4, 0, -1, -1],\n [2, 0, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[2, -4, 4, 1],\n [3, 2, 1, 1],\n [-2, -2, 1, 3],\n [-4, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-639", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -3, -4, 3],\n [-2, 4, -4, 1],\n [3, 1, -4, 1],\n [1, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -2, -4, 0],\n [-2, 1, -2, -1],\n [-4, -2, -4, -1],\n [0, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-2, 4, 0, -1],\n [4, 3, -2, 2],\n [0, -2, 4, 2],\n [-1, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-470", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, -2, -1],\n [0, -2, -4, 0],\n [4, -4, 4, -1],\n [-4, -3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3563", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, 2, 1],\n [-4, -1, 2, 0],\n [2, 2, 3, 4],\n [1, 0, 4, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7366", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -4, 0, 2],\n [-3, -1, -2, -3],\n [-2, 1, 2, 1],\n [4, -1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, -2],\n [0, 4, -2, 3],\n [0, -2, -2, -2],\n [-2, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1955", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, -2, 0],\n [-1, 0, 1, -1],\n [-2, 1, 4, 0],\n [0, -1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -3, -3, -2],\n [1, 2, 2, -1],\n [1, 0, -2, -3],\n [0, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "869", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 0, 2],\n [-1, -2, -1, 2],\n [0, -1, -4, 2],\n [2, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, -3, 2],\n [4, -4, 2, -1],\n [-3, 2, 1, 0],\n [2, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 0, 0],\n [-3, -2, -4, 0],\n [0, -2, 0, -4],\n [2, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-358", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, -2],\n [2, 0, 0, 0],\n [0, 0, 3, 0],\n [-2, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "590", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[3, 2, -2, 3],\n [-2, -1, 3, 1],\n [-1, 3, -4, 1],\n [4, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 4, 2, 0],\n [4, 2, -1, 0],\n [2, -1, 4, 0],\n [0, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -1, -2],\n [-1, 2, 0, 0],\n [-1, 0, 4, 1],\n [-2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 0],\n [2, 4, -2, 2],\n [0, -2, 0, -2],\n [0, 2, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[3, 1, 1, 0],\n [1, -3, -2, 2],\n [1, -2, -3, -2],\n [0, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 1, 1],\n [-1, -2, -4, -1],\n [-1, -1, 2, 3],\n [-4, 1, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2017", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 2, 0],\n [0, 1, -2, 2],\n [2, -2, 1, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "371", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, -1, 0],\n [3, 2, -2, 3],\n [-3, 3, 2, 1],\n [-3, 0, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[4, -2, 3, 1],\n [1, -3, -2, -1],\n [1, -2, 0, 3],\n [-2, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -3, 2, -2],\n [-3, 4, 2, 2],\n [2, 2, 3, 2],\n [-2, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 0, 0],\n [2, -1, 0, 2],\n [0, 0, -3, 2],\n [0, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "655", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -3, -4, 4],\n [1, 4, -3, -1],\n [4, -1, -4, 3],\n [-3, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2515", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -4, 4, 4],\n [-3, 1, -3, 0],\n [0, -4, 4, -3],\n [-4, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1904", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -4, 0],\n [0, -1, 4, 0],\n [-4, 4, -1, 0],\n [0, 0, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6442", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -4, -1],\n [-1, 2, 3, -3],\n [2, -1, 0, -4],\n [0, 4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "968", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 1, 2],\n [1, -3, 0, 1],\n [2, 0, 2, -1],\n [-3, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1080", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-1, 3, 4, -3],\n [-2, -1, -4, -4],\n [1, -4, 3, -3],\n [0, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-278", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 0, -2],\n [0, -1, 1, 0],\n [0, 1, 3, 0],\n [-2, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2045", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, -2, 4],\n [2, -4, 0, 0],\n [-2, 0, -1, 0],\n [4, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, -3, -4],\n [0, 4, -3, 3],\n [2, 0, -3, 1],\n [-2, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, -2, 0],\n [2, 4, -2, 0],\n [-2, -2, 4, 0],\n [0, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1544", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -3, 1],\n [1, -2, 1, -4],\n [-1, 0, 1, 4],\n [4, 4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1438", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, 2],\n [0, 0, 2, 0],\n [0, 2, 1, 2],\n [2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "612", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 2, 4, -2],\n [-2, -2, 1, -3],\n [1, 1, -3, -1],\n [2, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 3, 4],\n [-4, 0, -2, 3],\n [4, 1, -1, 0],\n [2, 2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "995", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 1, -2],\n [-1, -4, -2, 1],\n [1, -1, 4, -2],\n [-2, -2, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "732", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 3, 1, -2],\n [3, -2, -2, 3],\n [1, -2, 0, 1],\n [-2, 3, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[0, 4, -3, -1],\n [-4, 0, 4, -1],\n [0, -3, -1, -4],\n [2, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-266", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 0, 3],\n [-4, 2, -4, 1],\n [4, 2, -2, 1],\n [-1, -2, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1996", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -4, 0, 1],\n [-2, 2, 4, 4],\n [-1, 3, 0, 2],\n [4, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7341", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -4, 2],\n [2, 1, 0, 0],\n [-4, 0, -1, 3],\n [2, 0, 3, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-244", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 4, 2],\n [-3, -2, -1, -2],\n [4, -1, 0, 0],\n [2, -2, 0, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -4, -3],\n [-1, 4, -3, 1],\n [-1, 1, 4, 0],\n [3, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "643", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, -4, 4, -4],\n [-2, -1, 1, 0],\n [0, -1, -2, -3],\n [1, -1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, 0, 3],\n [4, 4, -2, -3],\n [-2, 2, 1, 4],\n [-3, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -4, -2],\n [2, 4, 3, -2],\n [-4, 3, -3, 0],\n [-2, -2, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 3, 0, 0],\n [3, 2, -3, -1],\n [0, -3, 4, 2],\n [0, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1284", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 4, -3],\n [0, 4, 0, -1],\n [4, 0, 0, 0],\n [-3, -1, 0, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-648", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 2, -3],\n [2, -2, 1, 1],\n [1, 2, -1, -3],\n [1, -3, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[1, 0, 0, 1],\n [4, 4, 1, -4],\n [2, 4, -3, 2],\n [-1, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-504", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, -4, 0],\n [2, 2, 0, 4],\n [4, 4, 2, -4],\n [-2, 1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "922", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, -2, -2],\n [3, -3, -2, 2],\n [-2, -2, -3, 0],\n [-2, 2, 0, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, -2, 0, -2],\n [2, 2, 1, -2],\n [2, 3, 2, 2],\n [0, 4, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 2, 0],\n [0, -2, 0, -2],\n [2, 0, 1, -2],\n [0, -2, -2, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 4, -4, 3],\n [0, 2, -1, 2],\n [-3, 2, 1, 1],\n [3, -2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "352", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, -3],\n [-2, 3, 0, 2],\n [0, 0, -2, 4],\n [-3, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2051", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 3, -1],\n [-2, 3, -3, 4],\n [3, -1, -4, 1],\n [4, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6979", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, -2, -1],\n [4, 3, 1, 2],\n [-2, -3, 4, 0],\n [-1, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1182", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, 0, 0, 2],\n [0, 3, 0, 1],\n [0, 0, 2, 2],\n [2, 1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -3, -4, -3],\n [2, -2, -4, -2],\n [2, -1, -2, 2],\n [-4, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2638", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -2, 0, 0],\n [-2, -2, -1, 3],\n [0, -1, -2, -1],\n [0, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4061", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, -4, 1, -2],\n [-4, 3, 0, -4],\n [1, 0, 1, -4],\n [-2, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 4, -1, -2],\n [4, 1, -4, 0],\n [-1, -4, 4, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -1, -3],\n [2, 3, 2, -2],\n [-1, 2, 1, 0],\n [-3, -2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "712", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -1, -1],\n [-1, 0, -3, -3],\n [-1, -1, 1, 1],\n [-1, -1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2074", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0, 1],\n [0, -4, 2, -2],\n [0, 2, -3, -3],\n [1, -2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-265", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -4, 3],\n [0, 0, 0, 1],\n [-4, 0, -4, 1],\n [3, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10836", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[4, -2, -2, -4],\n [-4, 2, 3, -3],\n [4, 3, 4, 4],\n [1, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 4, 0],\n [0, 0, 1, 0],\n [4, 1, -1, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3242", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 0, -2],\n [0, 2, 1, 0],\n [0, 1, -4, -2],\n [-2, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "365", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 2, 2],\n [4, -3, 3, 1],\n [-3, -3, 1, 2],\n [-3, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1052", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 0, -3],\n [-1, -3, 1, 4],\n [0, 4, -3, -3],\n [-4, 4, -2, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 4, -3, -2],\n [1, 2, -1, -2],\n [-1, 4, 3, 3],\n [4, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3861", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 0, -4],\n [-1, -1, 0, -3],\n [0, 2, -2, 4],\n [-1, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2329", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 3, 1],\n [3, 3, -3, 3],\n [-4, 3, -2, 2],\n [-1, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3167", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, 1, -1],\n [0, 2, -4, 1],\n [4, 0, 4, 0],\n [0, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1137", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 0, 2],\n [2, -2, 0, 2],\n [0, 0, -3, 3],\n [2, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[4, -2, 1, 0],\n [-2, 1, 2, 2],\n [1, 2, 3, -2],\n [0, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-254", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[3, 1, 0, 2],\n [1, -3, 1, 0],\n [0, 1, -4, 4],\n [2, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, 2, 3],\n [-3, 2, 0, 1],\n [3, -4, -1, 4],\n [-2, -3, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -2, -4],\n [-3, -2, 4, 1],\n [4, -3, 4, 2],\n [-4, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "977", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 1, 2],\n [-4, -3, 4, -3],\n [1, 4, 0, -3],\n [3, 3, -2, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -1, 0, 1],\n [-1, 4, 1, 3],\n [0, 1, -1, -2],\n [1, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2550", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 3, -2, 2],\n [3, 2, 0, 0],\n [-2, 0, -4, 2],\n [2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -3, -2, -2],\n [-3, 4, -2, -3],\n [-2, -2, 2, 0],\n [-2, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6000", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, 0, -2],\n [2, -3, -1, 3],\n [0, -1, -3, 1],\n [-2, 3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "895", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, -4, -3],\n [1, -2, 0, -4],\n [2, 0, -3, -1],\n [3, -3, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[2, 1, 3, -4],\n [-3, 0, -2, -2],\n [-2, -2, 2, 2],\n [-2, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[0, 1, -2, 4],\n [-2, -2, 3, -2],\n [-4, -2, 4, -3],\n [0, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 4, -1, 3],\n [4, 2, 2, -4],\n [-3, 4, -4, 1],\n [-4, 2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2783", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[2, 4, 1, -3],\n [4, -1, -2, -2],\n [1, -2, -3, -2],\n [-3, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-821", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[1, 0, 3, -1],\n [0, 4, 0, -1],\n [3, 0, 3, 0],\n [-1, -1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 0, 4],\n [2, -2, 0, -1],\n [1, 3, 3, -4],\n [-4, 1, 1, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, -2, 0],\n [3, -2, 1, 0],\n [-4, 2, -4, 3],\n [3, -2, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2794", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 0, -3, -4],\n [-1, 3, -3, 4],\n [2, -3, 1, -3],\n [2, 2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, 0, 2],\n [-2, -2, -2, 0],\n [0, -2, -1, 1],\n [2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 0, 1],\n [2, -4, -2, -1],\n [2, -3, -4, 1],\n [-2, 2, 4, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -1, -2, -1],\n [2, 3, -3, -1],\n [3, -4, 4, 3],\n [4, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-214", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, -1, -2],\n [1, 3, -2, 4],\n [-1, -2, 2, 2],\n [-2, 4, 2, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, -3, -4],\n [2, 2, 4, -2],\n [2, 3, 1, 4],\n [-4, 4, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2386", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, -4, 0],\n [0, 4, 0, 0],\n [-1, -3, 3, -1],\n [-2, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -3, 1],\n [-4, -3, -2, -3],\n [3, -3, -4, -3],\n [0, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1633", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 0, -2],\n [-3, -3, -2, -3],\n [-4, 4, 1, 1],\n [1, -4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1349", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, 0, -3],\n [4, 4, 0, -4],\n [-1, -4, -4, 4],\n [0, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-654", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0, 2],\n [2, 0, 4, -2],\n [-4, 4, -1, 2],\n [3, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -4, 0, 3],\n [0, 3, -3, 3],\n [1, -4, -2, -3],\n [-2, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "418", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -3, 0, -3],\n [1, 0, 2, -4],\n [-4, -2, 0, -1],\n [-1, 4, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 1, 2],\n [3, -4, -3, -1],\n [4, 0, 1, -4],\n [-3, -3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-462", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -3, -4],\n [-4, 0, 4, 4],\n [3, 0, 3, 0],\n [3, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -2, 2],\n [2, 2, 0, 2],\n [-2, 0, -3, -2],\n [2, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2366", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[-3, 0, 2, 3],\n [-2, -1, -1, -1],\n [-2, -3, 3, -2],\n [2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 1, 2, 0],\n [1, -3, -1, -2],\n [2, -1, 1, 0],\n [0, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 2, -1],\n [0, 4, -4, 3],\n [4, -4, -2, 4],\n [1, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 2, 0],\n [2, -2, 0, 0],\n [2, 0, 2, -1],\n [0, 0, -1, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-3, 3, -2, 0],\n [-1, -2, -2, 3],\n [4, -3, -1, -2],\n [-2, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-282", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, -2, 0],\n [-4, -1, -4, -1],\n [-2, -4, 3, 2],\n [0, -1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1093", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-1, 4, 3, -4],\n [-3, 1, 2, 3],\n [-2, 3, 3, 1],\n [-1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, -2, 1],\n [-2, 1, -1, 4],\n [2, 0, 4, -2],\n [1, -4, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "650", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, 0, 1, 4],\n [0, -4, 0, -1],\n [1, 0, 2, 3],\n [4, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[4, 0, 0, -2],\n [2, 1, 0, -4],\n [-4, 4, -2, -3],\n [-4, 3, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, 4, -4],\n [2, 0, 3, -2],\n [-3, -4, -3, 3],\n [2, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, -4, -3],\n [3, 2, -1, 2],\n [3, -4, 0, -1],\n [4, -1, -3, -4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, 1, 2],\n [2, 3, 0, -4],\n [1, 0, 3, 2],\n [2, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10798", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 2, -2],\n [0, 4, 0, -2],\n [2, 0, 1, 4],\n [-2, -2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, -4, 3],\n [4, 4, 4, -4],\n [1, -3, 1, 3],\n [-1, -3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[1, 4, -2, 2],\n [4, 4, 1, -1],\n [-2, 1, 3, -2],\n [2, -1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 2, -3],\n [-2, 1, 3, 3],\n [2, 3, 2, 3],\n [-3, 3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "493", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-4, -2, -4, -1],\n [-2, 3, 2, 1],\n [-4, 2, 4, 2],\n [-1, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1490", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, -2, 1],\n [3, -3, 2, 1],\n [-2, 2, 2, 0],\n [1, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1207", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, -2, -1],\n [2, -4, 4, 2],\n [-2, 4, -1, 2],\n [-1, 2, 2, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 3, 4, 0],\n [2, -1, -1, -1],\n [2, 0, 0, 2],\n [-3, 2, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2389", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, 2, 4, 0],\n [2, 0, 2, 2],\n [4, 2, -3, 2],\n [0, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -1, 2],\n [2, -1, -2, -3],\n [-1, -2, -2, -3],\n [2, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6582", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 0, 2],\n [2, 4, 3, 0],\n [0, 3, -2, 1],\n [2, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1009", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 2, 2, 0],\n [2, 2, -3, 0],\n [2, -3, 2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "274", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -1, -2, -3],\n [-1, -2, -2, 2],\n [-2, -2, -1, 0],\n [-3, 2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "758", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 0, 2],\n [-2, 2, 0, 0],\n [0, 0, 0, 0],\n [2, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -2, 4],\n [0, 1, -1, 0],\n [-2, -1, 2, 1],\n [4, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "594", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 3, 1],\n [1, 2, 1, 2],\n [-4, -2, 1, 4],\n [-1, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0, -1],\n [-2, 1, -1, 3],\n [0, -1, 0, -2],\n [-1, 3, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "921", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-1, -2, 0, 1],\n [-2, 2, -2, -1],\n [0, -2, -3, 0],\n [1, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-2, 1, 3, 1],\n [0, 2, 4, 3],\n [2, -4, -1, 3],\n [0, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -2, 1],\n [3, 3, 0, 3],\n [4, 0, -4, 3],\n [-3, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "832", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, 1, 1],\n [0, 2, 3, -1],\n [0, -2, -4, 2],\n [0, -1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "828", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 1, 2, 2],\n [1, 4, 1, 2],\n [0, -4, 2, 2],\n [-3, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3696", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[4, 1, 2, 1],\n [1, 1, 1, -2],\n [2, 1, 1, -4],\n [1, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-2, 3, 3, -2],\n [-4, 1, -1, 0],\n [-1, 4, -2, -1],\n [2, 1, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -1, -2],\n [-2, 1, 0, -2],\n [-1, 0, 4, -2],\n [-2, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8114", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -2],\n [0, -4, -3, -3],\n [-2, -3, 3, 3],\n [-2, -3, 3, 4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "744", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, -2],\n [0, 4, 0, 4],\n [0, 0, 4, 0],\n [-2, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "736", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[3, 2, -3, -4],\n [1, 2, -3, 4],\n [3, 2, 2, -4],\n [4, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[4, 0, -1, -2],\n [0, 2, -1, 0],\n [-1, -1, 0, 0],\n [-2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-3, 4, -2, -3],\n [3, 0, 4, -3],\n [-3, 1, 1, 1],\n [4, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-3, 0, 2, 2],\n [0, -3, 2, 2],\n [2, 2, 2, -3],\n [2, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[3, -3, 0, -2],\n [-3, 1, 0, -2],\n [0, 0, 4, -2],\n [-2, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 1, -1, -3],\n [-4, 0, -2, 3],\n [2, -4, -2, -3],\n [0, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-710", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 4, 4, 0],\n [-1, 3, 4, 4],\n [-2, 3, 0, 4],\n [2, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "777", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, 1, 1, 2],\n [-3, -4, 3, 2],\n [1, 0, 3, -3],\n [4, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5614", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[4, 0, -2, 0],\n [0, 0, -1, 0],\n [-2, -1, -2, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, 2, 0],\n [1, -2, -2, 2],\n [2, -2, 0, -4],\n [0, 2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -4, -2, 0],\n [-4, 3, -4, -2],\n [-2, 1, 2, -1],\n [-2, 4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 0, 0, 2],\n [0, 3, 0, 0],\n [0, 0, -3, 2],\n [2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "950", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, -1, -2],\n [-2, 2, -4, -4],\n [0, 3, -3, 3],\n [4, -1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, -2, -2],\n [0, -2, -2, 0],\n [-2, -2, -3, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-418", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 4, 1],\n [3, -2, -4, -2],\n [4, -1, -4, 3],\n [-3, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1615", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 2, -4],\n [2, 2, -3, -2],\n [-4, -4, 3, -2],\n [2, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2264", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -2, 3],\n [1, -1, 0, 3],\n [-3, -4, -2, 2],\n [-3, 3, 1, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 4, 1, -3],\n [2, 1, -4, 0],\n [2, -3, 1, -4],\n [2, -3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-2, 3, -2, 2],\n [3, -1, -1, 2],\n [-2, -1, -2, 4],\n [2, 2, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "823", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -3, -1, 3],\n [2, -4, 1, 4],\n [1, 2, -3, 1],\n [4, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3640", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -1, -3, 1],\n [-3, 4, 0, -4],\n [4, 0, -2, 3],\n [-1, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, -2, 0],\n [1, 2, 0, 0],\n [-2, 0, -4, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, -2, 0, 0],\n [-2, -3, -1, 3],\n [0, -1, 4, 2],\n [0, 3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 0, -2],\n [0, 0, 2, -1],\n [0, 2, 3, -2],\n [-2, -1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5415", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[3, 3, -4, 0],\n [2, 1, 2, 0],\n [-1, -3, -2, -1],\n [-3, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -1, 4, 2],\n [-1, 4, 0, 0],\n [4, 0, -3, -3],\n [2, 0, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2570", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-2, -2, 1, 0],\n [-2, 2, 4, 0],\n [1, 4, 3, -1],\n [0, 0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 2, 0],\n [2, 2, 1, 0],\n [2, 1, 2, 4],\n [0, 0, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3428", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -3, 0],\n [1, 4, -4, 4],\n [-3, -1, -1, -1],\n [1, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-2, -1, 3, -3],\n [-1, 3, 2, 1],\n [3, 2, -4, 0],\n [-3, 1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, -2, 0],\n [-2, -4, 2, 4],\n [-2, 2, -3, 0],\n [0, 4, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 4, -3, -2],\n [2, -3, 1, -2],\n [-4, -3, -4, -2],\n [4, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-960", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, -2, 3],\n [1, -2, 4, 4],\n [-1, 3, -4, -2],\n [4, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6531", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, -3, -2, -2],\n [-1, 2, -1, -3],\n [1, -1, 3, 4],\n [3, -4, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2340", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -2, -2],\n [2, 1, 0, 0],\n [-2, 0, -1, -1],\n [-2, 0, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "508", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[1, 4, 4, 2],\n [1, 1, -2, -2],\n [4, -1, 3, 0],\n [-3, 2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 4, 0],\n [0, 0, 0, -2],\n [4, 0, -4, 2],\n [0, -2, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "833", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[4, -4, 4, -3],\n [-3, -4, 0, -4],\n [-1, 3, 2, -2],\n [2, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, 2, 0],\n [-4, 3, 0, 0],\n [2, 0, -2, -2],\n [0, 0, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "441", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-4, -1, 0, 2],\n [-1, -1, 3, 2],\n [0, 3, -4, 0],\n [2, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, -4, 3],\n [0, -2, 0, -2],\n [-4, 0, 0, -1],\n [3, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2, -2],\n [-2, -2, -4, 0],\n [-2, -4, 4, 3],\n [-2, 0, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 2, -2],\n [2, 1, -2, -2],\n [2, -2, 2, -3],\n [-2, -2, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1225", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, -1, 2, 2],\n [-1, 2, 2, -2],\n [2, 2, 4, 1],\n [2, -2, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "849", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 2, 2, 0],\n [2, 4, 4, 0],\n [2, 4, 0, 2],\n [0, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[1, 1, 0, 4],\n [1, 4, -2, -2],\n [0, -2, 2, 0],\n [4, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, 0, 1],\n [-2, 2, 2, -4],\n [0, 2, -4, -2],\n [1, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, -4, 4],\n [2, 2, 2, 0],\n [-4, 2, -1, -4],\n [4, 0, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25045", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 2, -2],\n [-2, -1, 0, 0],\n [2, 0, -1, -2],\n [-2, 0, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 1, 0],\n [0, -2, 0, 0],\n [1, 0, -2, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 1, 1, 3],\n [1, 1, 4, -4],\n [1, 4, 0, 4],\n [3, -4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -2, -2],\n [2, 1, 0, 0],\n [-2, 0, 1, -2],\n [-2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "409", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[2, 1, 0, -1],\n [1, 4, 4, -3],\n [0, 4, 3, 2],\n [-1, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[0, 2, 0, -3],\n [2, -3, -2, 0],\n [0, -2, 3, 0],\n [-3, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-4, -2, -2, 2],\n [1, 1, 2, 0],\n [-3, 0, 4, 3],\n [0, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 2, -1],\n [-2, 4, 1, 2],\n [2, 1, 0, 0],\n [-1, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-3, 4, -4, -1],\n [-2, 0, -3, -3],\n [3, -2, -1, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -2, 0, 2],\n [-2, 2, 1, -2],\n [0, 1, -2, -1],\n [2, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 2, 2, -1],\n [2, 3, 4, 1],\n [2, 4, 3, 0],\n [-1, 1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14103", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 0, -2],\n [-2, 1, 0, 0],\n [0, 0, 4, 0],\n [-2, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, -1, 1],\n [-3, 1, -1, 4],\n [-2, 1, -1, 0],\n [0, 0, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, 1, -2, 0],\n [1, 2, 1, 2],\n [-2, 1, 4, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -2, 1, 0],\n [-2, -3, 0, 3],\n [1, 0, 1, 0],\n [0, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -4, 1, -1],\n [3, 1, -2, 2],\n [-4, -3, -1, 3],\n [-3, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "270", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, -1, 0],\n [-2, -2, -1, 0],\n [-1, -1, -1, 0],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "270", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, -1, 2],\n [-3, 3, -4, 1],\n [0, -4, 1, 4],\n [2, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1162", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, 1, 1],\n [2, -2, 2, 0],\n [-3, 4, 3, 0],\n [1, 4, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 0, 1, -1],\n [0, -4, -1, 0],\n [1, -1, 3, 1],\n [-1, 0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 0, 1],\n [-3, 3, 0, 2],\n [-2, 1, 0, 4],\n [2, 0, -3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "666", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -2, 1, 4],\n [-2, 0, -2, 0],\n [1, -2, -3, -3],\n [4, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 4, -4, 3],\n [4, 1, 4, 3],\n [1, -2, -4, -4],\n [-2, -4, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 1, -2, -1],\n [1, -1, 0, 0],\n [-2, 0, -4, -2],\n [-1, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -4, -4],\n [-1, 2, 3, -2],\n [-1, 3, -4, -2],\n [-1, -3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1027", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 0],\n [0, -2, 2, 2],\n [2, 2, 0, -2],\n [0, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, 2, -4],\n [2, 0, 2, -2],\n [1, 0, 3, 1],\n [4, -1, 1, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -1, -4, 4],\n [4, -1, 1, 0],\n [-3, -4, 4, 0],\n [-4, 0, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2556", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -3, 2, -2],\n [3, -4, -3, -3],\n [1, 3, -2, 1],\n [4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 1, -3, 3],\n [-4, -1, -4, -1],\n [1, -2, -4, -4],\n [-2, 4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-856", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, -4, -2],\n [-2, 0, 0, 2],\n [-4, 0, 4, -2],\n [-2, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1030", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 1, 4, -2],\n [-3, 4, 0, -3],\n [0, 2, 4, -3],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1015", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -1, 1],\n [-4, 0, -3, 1],\n [-1, 4, -1, 1],\n [1, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 4],\n [0, 3, -2, 0],\n [2, -2, 3, 0],\n [4, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4091", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 4, -4],\n [0, 0, -3, 4],\n [1, 1, 2, -4],\n [-2, -4, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, 2, 0],\n [-4, 3, 0, 0],\n [1, 3, -1, -3],\n [-4, -4, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-263", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, 0],\n [-1, 3, -4, 1],\n [0, -4, -2, 2],\n [0, 1, 2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 1, 3, -1],\n [1, -4, -2, 0],\n [3, -2, -4, -3],\n [-1, 0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-509", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -2, 0],\n [0, -1, 0, -2],\n [-2, 0, 2, -4],\n [0, -2, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-322", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-2, 2, 1, 0],\n [2, -2, -1, 2],\n [1, -1, -1, 2],\n [0, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 1, 3],\n [2, -4, -2, -1],\n [1, -2, -3, -1],\n [3, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8878", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 1, 1],\n [3, -1, 4, 3],\n [-4, 1, -4, 4],\n [4, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1522", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, -4, 0],\n [-2, -1, 4, 0],\n [-4, 4, -3, -2],\n [0, 0, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-916", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -4, 0, 4],\n [2, 3, -2, -1],\n [3, 0, 2, -2],\n [1, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1288", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2, -3],\n [0, 1, -1, 4],\n [-2, -1, -1, 3],\n [-3, 4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1649", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 2, 2],\n [-3, -1, -4, -1],\n [1, 1, -4, -4],\n [-3, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "856", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 0, 1],\n [0, -2, 0, -3],\n [0, 0, -2, 2],\n [1, -3, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "559", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 2, 4],\n [2, -1, 0, 4],\n [-4, 0, 3, 2],\n [2, -4, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-212", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, -1, -2],\n [-2, 3, 0, 0],\n [-1, 0, 2, -3],\n [-2, 0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 2, 1],\n [0, 4, 2, -1],\n [2, 2, 1, 1],\n [1, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "708", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[-4, -2, 1, -1],\n [-2, 2, 0, 0],\n [1, 0, -1, -2],\n [-1, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -4, 2],\n [4, -3, 1, 3],\n [3, -2, -4, 1],\n [1, 3, 1, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-694", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, -3, -3],\n [1, -3, 3, 3],\n [2, 4, -1, -4],\n [-1, 4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-365", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, -2],\n [0, -4, 1, 1],\n [-2, 1, 4, -2],\n [-2, 1, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2401", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, -1, 4],\n [1, 4, -2, -2],\n [2, 0, 0, -1],\n [3, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1494", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[1, 2, 0, 0],\n [2, 1, -2, 0],\n [0, -2, 0, 2],\n [0, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -3, 1],\n [-4, 3, -4, -3],\n [-3, 0, -1, 1],\n [1, -2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "968", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 4, 1],\n [4, 2, -1, 2],\n [0, 3, 0, -3],\n [-3, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "802", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[4, -2, -2, -2],\n [-2, -2, -2, 0],\n [-2, -2, 0, 0],\n [-2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, -1, 4],\n [-3, -3, 1, -4],\n [-4, 4, 0, 3],\n [4, -4, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2912", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -1, 0, 2],\n [-1, -3, 0, -4],\n [0, 0, 2, -2],\n [2, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-588", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 2, -1],\n [2, -2, 2, -2],\n [0, 2, 2, -2],\n [2, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "416", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -3, -2, -2],\n [2, 3, 2, -1],\n [0, 1, -2, -3],\n [0, 2, -4, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -4, -1, 3],\n [1, 4, 2, 3],\n [-2, 1, -1, 2],\n [2, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, 0, 0],\n [0, 2, 3, -2],\n [0, 3, -2, 2],\n [0, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 3, 4],\n [1, -2, 1, -2],\n [1, 0, -1, 2],\n [4, -3, 4, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 0, 0],\n [2, 2, 1, 1],\n [0, -1, 1, 4],\n [-4, 3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "236", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 2, -1],\n [1, -3, -3, -1],\n [3, -1, -1, -2],\n [2, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3517", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 0, 0],\n [1, -2, 1, 4],\n [0, 1, -4, 3],\n [0, 4, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[3, 2, -2, 0],\n [2, -3, 0, 1],\n [-2, 0, -1, -1],\n [0, 1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 4, -2, 2],\n [-3, 4, 0, 1],\n [2, 0, 4, 4],\n [2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2616", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, 3, -2, 2],\n [2, -2, 2, -4],\n [0, -4, 2, -3],\n [-3, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 4, 3, 2],\n [0, 3, -1, 4],\n [0, -1, 0, -2],\n [-4, -4, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1523", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 3, 0, 2],\n [3, -1, -1, 2],\n [0, -1, 1, -2],\n [2, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "670", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, -3, 2],\n [-4, -1, -1, 2],\n [0, 1, -1, -4],\n [-4, 1, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-456", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 1, 0],\n [-1, 3, 2, 4],\n [1, 2, 2, -2],\n [0, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 1, 0, -3],\n [2, -2, -4, 4],\n [-3, 0, -2, 4],\n [-3, 2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11972", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 0],\n [0, 3, 0, 0],\n [0, 0, 3, 1],\n [0, 0, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -1, -2, 2],\n [-1, -1, -1, 2],\n [-2, -1, 0, 0],\n [2, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2330", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, -2, 0],\n [2, -1, -2, 0],\n [-2, -2, 3, 0],\n [0, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "504", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, -4, -3],\n [3, 2, 1, -2],\n [-2, 0, 0, 4],\n [-3, 3, -4, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "568", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, 3, 0, 2],\n [3, -2, -4, 0],\n [0, -4, 3, -4],\n [2, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1422", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[3, 1, 0, -1],\n [1, 0, -1, 0],\n [0, -1, 2, -2],\n [-1, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 3, -1],\n [2, -1, -4, -3],\n [-2, 3, 4, -1],\n [1, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "452", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, -2, -1],\n [2, 1, -1, 0],\n [-2, -1, 2, -3],\n [-1, 0, -3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -3, -4],\n [1, 3, -4, 3],\n [3, 0, 4, 1],\n [3, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2250", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 0, 2, 4],\n [-2, 4, 3, 4],\n [-2, 0, -2, -4],\n [4, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-374", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 2, 0],\n [4, 3, -4, -2],\n [1, 4, -1, -2],\n [3, -1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1656", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 0, -1],\n [0, -4, 4, 2],\n [0, 4, 0, 1],\n [-1, 2, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "888", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-2, 1, -2, 0],\n [-3, 4, 0, 2],\n [1, 1, 1, 0],\n [3, 4, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "516", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, -3, -4],\n [-2, 0, -4, -2],\n [-4, 3, -3, 4],\n [2, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2495", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -1, -1],\n [4, -3, 2, 3],\n [0, -1, -2, -4],\n [-3, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1667", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 4, 0, 0],\n [4, 4, 0, -1],\n [0, 0, 3, 3],\n [0, -1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4286", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -3, 1, 0],\n [-4, 2, 3, -4],\n [1, -4, -1, -4],\n [1, -3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3998", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[2, -4, 2, 2],\n [-4, 2, 2, -1],\n [2, 2, 2, 0],\n [2, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 0, 2],\n [-1, -3, -2, 0],\n [0, -2, 4, -3],\n [2, 0, -3, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8314", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -1, 2],\n [2, 0, -2, 4],\n [-1, -2, 4, -2],\n [2, 4, -2, -4]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, -1],\n [0, 4, 0, -2],\n [-1, 0, -4, 2],\n [-1, -2, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, -1, -3],\n [4, 0, -3, 4],\n [-4, -3, -3, 0],\n [4, 4, -4, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, -4, 0],\n [1, -1, 4, 3],\n [-4, 4, -4, 0],\n [0, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3115", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -4, 3, -4],\n [-1, 1, -2, 1],\n [4, -4, 0, -4],\n [2, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-341", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, -4, 1, 2],\n [-1, -1, -2, -3],\n [-2, -2, 0, -1],\n [4, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2536", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, -1, -1],\n [0, 2, -2, 2],\n [-1, -2, 4, 0],\n [-1, 2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, 0, 2],\n [2, -1, 2, 0],\n [0, 2, -1, -2],\n [2, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -2, -3],\n [-2, -2, -3, -2],\n [-1, 1, 2, 1],\n [-3, -3, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-337", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 2, 3],\n [-2, 2, 1, -3],\n [-3, -1, 1, 3],\n [-2, 4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "727", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -2, -2],\n [0, -4, -3, -2],\n [0, -1, -2, 1],\n [1, -2, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, -2, 0, 0],\n [-2, -4, -4, 1],\n [0, -4, 2, 0],\n [0, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 4, 4],\n [3, 2, -3, -3],\n [0, 2, -1, 4],\n [-4, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11344", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -3, 0, 4],\n [-3, -4, 2, 3],\n [-4, -3, 2, -4],\n [2, 2, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2280", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-2, 4, -4, 2],\n [-2, -4, 4, -4],\n [1, 4, 2, 0],\n [-3, -2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -4, 1, -3],\n [3, -1, 3, 2],\n [-2, 0, -2, 2],\n [0, -4, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "619", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 0],\n [2, -3, 2, 0],\n [0, 2, -2, 0],\n [0, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -2, 2, 0],\n [-2, 1, 0, 2],\n [2, 0, -4, -2],\n [0, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1033", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 3, -3, -2],\n [-1, 0, 4, -3],\n [3, 4, -4, -1],\n [-3, -3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "598", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, 0, 2],\n [-2, -2, 4, -2],\n [0, 4, -1, 0],\n [2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "435", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 0, 2],\n [1, 4, -2, 1],\n [0, -2, -3, -2],\n [2, 1, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 3, 1],\n [3, 0, 0, -2],\n [-2, -1, 2, -2],\n [3, 1, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-3, 1, -1, -4],\n [-3, -4, -1, 2],\n [-4, -1, 3, 2],\n [-3, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[1, 0, -4, 4],\n [-2, 0, 2, 3],\n [-3, 1, 2, 4],\n [-2, -3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, -1, 0],\n [2, -1, -2, 0],\n [-1, -2, -2, 1],\n [0, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "289", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 3, -1, 1],\n [-4, -2, 1, -4],\n [-3, -1, 1, -3],\n [-1, 1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "502", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, -2, -2],\n [2, 4, 2, -2],\n [-2, 2, 1, 0],\n [-2, -2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 0, -2],\n [1, 4, -4, -2],\n [1, 1, -1, -4],\n [-3, -1, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-233", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -1, 4, -2],\n [0, -1, -2, 4],\n [1, 2, 0, 2],\n [-3, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "288", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -1, 0],\n [0, 4, -1, -4],\n [-1, -1, 1, -2],\n [0, -4, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-171", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 2, 4, -4],\n [1, 0, -2, -2],\n [0, 0, 0, -4],\n [2, -4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, -2, 2, 0],\n [-2, 4, 0, -2],\n [2, 0, 0, 1],\n [0, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[0, -1, -2, -1],\n [-1, 1, -1, 1],\n [-2, -1, 1, -2],\n [-1, 1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-3, 0, -1, 1],\n [1, 3, 3, 2],\n [-2, -1, -1, -1],\n [1, 1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 2, -2],\n [-3, -2, 3, -3],\n [0, 3, 4, 0],\n [4, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "354", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, -3, 2, -3],\n [-3, 0, 3, 2],\n [1, 2, 1, 2],\n [1, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[0, -3, -3, 1],\n [-3, 4, 0, -1],\n [-1, 1, 2, 4],\n [0, -1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 4, 4, -1],\n [-3, 4, 0, -4],\n [2, 1, -2, -2],\n [4, 3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-770", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 1, -4, -1],\n [3, 4, 0, -4],\n [-3, -2, -2, -4],\n [3, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7083", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2, 0],\n [0, 0, 0, 0],\n [-2, 0, 0, -4],\n [0, 0, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4805", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, -2, -2],\n [-1, 2, -3, -4],\n [-3, 3, -4, 0],\n [4, 3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4873", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[3, 2, 0, -2],\n [2, 0, 0, 0],\n [0, 0, -4, -2],\n [-2, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -3, 0, 0],\n [-3, 1, -2, -2],\n [0, -2, -3, 1],\n [0, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3033", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[3, 0, -3, -2],\n [0, 2, -2, 0],\n [-3, -2, -2, -2],\n [-2, 0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 1, -3],\n [0, -4, 2, 0],\n [1, 2, 4, -2],\n [-3, 0, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, -4, -2],\n [-3, 4, -2, 1],\n [-4, -2, 4, -2],\n [-2, 1, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1005", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 1, 1],\n [-1, -2, 0, 0],\n [1, 0, 1, 0],\n [1, 0, 0, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -4, -3, -4],\n [-4, 2, -2, 0],\n [3, 4, 0, 4],\n [4, 2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "982", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-2, -3, 2, 4],\n [1, -4, 3, -4],\n [3, 4, 1, -1],\n [-4, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -3, 0],\n [0, 0, 2, 2],\n [-3, 2, -3, 3],\n [0, 2, 3, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 1, -1, -2],\n [1, -4, 0, -1],\n [-1, 0, 3, 0],\n [-2, -1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, -2, 1],\n [4, 2, -2, 2],\n [-2, -2, 0, 2],\n [1, 2, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3104", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, 0, -3, -2],\n [0, 2, -2, 1],\n [4, -4, -1, 1],\n [1, -4, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-428", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 0, -3, -2],\n [1, 1, 2, -3],\n [-2, -4, 3, 2],\n [4, -2, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5588", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -3, -3],\n [3, -2, 4, -4],\n [-4, 0, 0, -3],\n [-2, 3, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "818", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 0, -2],\n [0, -2, -1, 2],\n [0, -1, -2, 0],\n [-2, 2, 0, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, 3, -2],\n [-2, -4, -4, -4],\n [-1, 1, 0, -3],\n [2, -3, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -3, 0, 1],\n [-3, -4, -2, 3],\n [-2, -4, 3, 0],\n [1, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2197", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -1, -4, -4],\n [4, -4, -4, -3],\n [-1, -1, -4, 4],\n [4, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5545", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 4, 2],\n [2, 4, 0, 0],\n [4, 0, 1, 2],\n [2, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6021", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, -3, 3],\n [-2, -2, 3, 2],\n [-3, 3, -2, 1],\n [3, 2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[3, -3, -4, -4],\n [-3, -2, -1, -3],\n [1, -2, -4, 2],\n [-2, 4, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -4, 1],\n [0, -4, -2, -2],\n [-4, -2, 1, -2],\n [1, -2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1145", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, -4, -3],\n [2, 2, 0, -2],\n [-4, 0, -2, -2],\n [-3, -2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2666", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2, 0],\n [0, 1, -2, 2],\n [-2, -2, 0, 2],\n [0, 2, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -2, 2],\n [-1, -4, 4, -1],\n [-1, 2, 1, 4],\n [-1, -4, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2109", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -3, 4, 0],\n [-3, -2, -3, 0],\n [4, -3, -1, 0],\n [0, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -1, 2],\n [2, 4, -1, 0],\n [-1, -1, 3, -1],\n [2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "842", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, -4, 2],\n [-2, 0, -2, 2],\n [-4, -2, -1, 2],\n [2, 2, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15454", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 2, -2],\n [0, 0, 2, 1],\n [2, 2, -4, 0],\n [-2, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[1, 1, 0, 0],\n [-3, 4, 1, -4],\n [4, 0, 2, 0],\n [0, -4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -4, 2, 1],\n [-1, -4, -3, 4],\n [1, 1, -4, -4],\n [-4, 4, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-3, 0, 2, -2],\n [4, 0, 0, -1],\n [3, 3, -3, -1],\n [1, 2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -1, 1],\n [0, 3, 1, 0],\n [-1, 1, -2, -2],\n [1, 0, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1837", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[3, -1, -2, -1],\n [-1, -4, 2, 0],\n [-2, 2, -4, 0],\n [-1, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 3, 0, 0],\n [2, -1, 1, -4],\n [-3, -4, 1, 3],\n [3, -4, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1032", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -1, 0, 0],\n [-1, 2, 0, 2],\n [0, 0, -1, 1],\n [0, 2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0, -2],\n [1, 3, 2, -2],\n [0, 2, -1, 0],\n [-2, -2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -2, 1, 0],\n [-2, -3, -1, -2],\n [1, -1, 1, -1],\n [0, -2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1817", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, -4, -2],\n [-2, 3, -4, 1],\n [0, 0, 4, 1],\n [3, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "568", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, 2, -2],\n [-1, 0, 3, 1],\n [2, -4, -1, -1],\n [-4, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -2, -2],\n [2, 1, -2, 3],\n [-2, -1, -3, -1],\n [-4, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2091", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 2, 1],\n [0, 2, -2, 1],\n [2, -2, -2, 0],\n [1, 1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, 3, 3, 4],\n [-3, -4, 2, 1],\n [-3, 4, 3, 0],\n [-4, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5036", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 0, -2],\n [0, 4, 2, 4],\n [0, 2, 4, -4],\n [-2, 4, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -1, 0, -1],\n [4, 0, 1, -2],\n [-1, -2, 0, 0],\n [-2, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[-1, 0, -2, 0],\n [0, -3, -1, 3],\n [-2, -1, -2, 0],\n [0, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, 0, 4],\n [-4, 1, -3, 0],\n [0, -3, -1, -2],\n [4, 0, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 2, 2],\n [0, 2, -2, 0],\n [2, -2, 1, -2],\n [2, 0, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -1, -1, -1],\n [1, -4, -4, 4],\n [-3, 3, 2, 2],\n [-3, 2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1100", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[1, -1, 0, 4],\n [-1, 4, -1, -2],\n [0, -1, 0, 0],\n [4, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, -1, 2],\n [-1, -2, -2, 0],\n [-1, -2, -1, 0],\n [2, 0, 0, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "301", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, 3, 2],\n [0, 1, 1, 2],\n [-4, 1, 4, 3],\n [-3, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3696", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-2, -1, -2, 0],\n [-1, 1, -4, -1],\n [-2, -4, -2, 1],\n [0, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, -2, 3, 0],\n [-2, -4, -1, -1],\n [1, 2, -2, -1],\n [-2, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[-3, -2, 3, 0],\n [-2, -3, 1, 1],\n [3, 1, 0, 3],\n [0, 1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-367", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -1, 2],\n [2, -2, -2, 0],\n [-1, -2, 4, 4],\n [2, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9954", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 4, 2, 4],\n [-4, -4, -3, -4],\n [2, 4, -3, 3],\n [1, 3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 1, -3, 1],\n [1, -2, -4, -1],\n [0, -3, 1, 2],\n [-3, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1748", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[3, 2, 0, -2],\n [2, -1, 0, -1],\n [0, 0, -1, -1],\n [-2, -1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, -2, 0, -1],\n [-2, -2, 0, 0],\n [0, 0, -3, 0],\n [-1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-3, -1, -2, -2],\n [-1, 2, -2, 0],\n [-2, -2, -3, 2],\n [-2, 0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -4, -1, 0],\n [-4, 1, 0, 2],\n [-1, 0, 2, 0],\n [0, 2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "402", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 2, 2],\n [3, -1, 0, 2],\n [2, 0, -1, -3],\n [2, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5057", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 2, 1],\n [4, 0, -3, 2],\n [-2, -2, -2, 3],\n [-4, 2, -3, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -2, -1],\n [0, 1, 2, -2],\n [-2, 2, 3, -2],\n [-1, -2, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2043", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -1, 2, 3],\n [3, 0, 0, -2],\n [-1, -4, 0, -2],\n [0, 4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 3, 0],\n [0, -2, -3, 1],\n [3, -3, -3, -2],\n [0, 1, -2, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -2, -4, 0],\n [-2, -4, 2, 2],\n [-4, 2, 1, -1],\n [0, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2152", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -4, -1],\n [-4, 4, -2, 4],\n [-3, -3, -1, -2],\n [-2, 0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "994", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-2, -1, -2, -2],\n [4, 1, 0, 0],\n [-4, -3, -2, -1],\n [-2, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 1, 1],\n [0, -3, 2, 0],\n [1, 2, 4, 0],\n [1, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[1, 2, -3, -3],\n [2, -3, -3, 0],\n [3, 1, 2, -2],\n [1, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "369", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -1, -4],\n [1, -1, -1, 1],\n [-3, 4, 1, 4],\n [-1, 0, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "764", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -2, 0],\n [-2, 0, -2, 2],\n [-2, -2, 4, 2],\n [0, 2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5920", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -2, 3],\n [2, -1, 1, -2],\n [1, 3, 0, -2],\n [0, 4, 3, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[3, -2, 0, 2],\n [-2, 3, 0, 2],\n [0, 0, -4, 1],\n [2, 2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-2, -3, 2, 3],\n [-2, -3, -2, -3],\n [-2, 2, 3, 1],\n [-1, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[1, 4, 0, -2],\n [4, -1, -2, -2],\n [0, -2, -1, 0],\n [-2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, -3, 0],\n [-2, 2, -1, 0],\n [-3, -1, 3, 0],\n [0, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2596", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -2, 1, 3],\n [-2, -1, 0, -2],\n [1, 0, -4, 1],\n [3, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "991", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0, 4],\n [0, 1, -2, -1],\n [0, -2, 2, -2],\n [4, -1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 2, -2],\n [-2, 0, -3, 1],\n [-2, -4, -2, -4],\n [-4, 1, 2, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 4, 0, 0],\n [4, -2, -3, 1],\n [0, -3, 0, 2],\n [0, 1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, -4, 3],\n [1, 1, -1, 3],\n [-2, -4, 0, 4],\n [4, 1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 2, 0],\n [3, -2, 2, -1],\n [2, 2, -3, -2],\n [0, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "535", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, 2, 0],\n [-1, 0, 2, 2],\n [2, 2, -2, -1],\n [0, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2891", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -3, -1],\n [-1, -3, 2, 1],\n [-2, 3, 0, -1],\n [1, 1, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0, 3],\n [-2, 4, 2, 1],\n [0, 2, 3, 1],\n [3, 1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "826", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 1],\n [0, 4, 0, -2],\n [0, 0, -4, 1],\n [1, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0, -1],\n [0, -1, 0, 0],\n [0, 0, -3, -2],\n [-1, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "611", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 1, 3],\n [-3, 1, 4, 3],\n [0, 0, -1, -4],\n [-3, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4904", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, -1, -1],\n [0, -2, 1, 0],\n [-1, 1, 4, 0],\n [-1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "913", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 3, 2],\n [-3, 3, 3, -4],\n [0, 4, 3, 0],\n [-2, -2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1148", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 0, -1, -2],\n [0, -2, 0, 0],\n [-1, 0, -2, 0],\n [-2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1301", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, -4, 4],\n [1, -2, -1, 3],\n [-4, -2, -1, 0],\n [-2, -1, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4094", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 4, -3, 3],\n [-4, -1, 4, -3],\n [1, -3, 4, 4],\n [-2, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2074", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -1, 2, -3],\n [-3, -3, 2, -4],\n [-3, 1, 3, -1],\n [-2, 1, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "812", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-1, 1, 0, 0],\n [1, 4, -2, 0],\n [0, -2, 2, 2],\n [0, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, -2, 2],\n [2, 2, -1, 1],\n [-2, -1, -1, 2],\n [2, 1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1288", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[3, 4, 2, 4],\n [3, 1, 1, 4],\n [4, -1, 4, 0],\n [2, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2076", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 3, -2, 3],\n [-1, 2, 4, 2],\n [3, 1, 1, -3],\n [-2, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "523", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 0, -2, 0],\n [0, 2, 0, 0],\n [-2, 0, 3, 3],\n [0, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -4, 4, 3],\n [4, -1, 4, 2],\n [2, 4, -4, -3],\n [4, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 1, 4],\n [-1, -1, 1, -2],\n [4, 1, 1, -4],\n [1, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2548", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -1, 0, 2],\n [-4, 2, 3, -2],\n [3, -1, 1, -2],\n [1, 0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1102", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, 4, -3],\n [2, 4, -4, 4],\n [2, -3, 3, 2],\n [4, -1, -3, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-419", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0, -4],\n [-2, 4, 0, 0],\n [0, 0, -1, 1],\n [-4, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "924", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[2, 0, 1, -3],\n [0, 2, 2, 0],\n [1, 2, 3, 1],\n [-3, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[-2, 2, 4, 0],\n [2, 2, -2, -2],\n [4, -2, 1, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-392", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -4, 1, 2],\n [2, -2, 3, -3],\n [-4, 0, 0, -1],\n [-2, -4, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "937", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, -2],\n [0, 3, -2, 0],\n [0, -2, 3, -2],\n [-2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "645", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -3, -2],\n [3, -3, -4, 1],\n [2, 1, -1, -1],\n [-2, -3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-2, 0, 1, 3],\n [3, -4, 4, -1],\n [0, 1, -2, 4],\n [-4, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 2],\n [0, 0, 2, -2],\n [2, 2, 0, 4],\n [2, -2, 4, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "560", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[4, -1, -3, -3],\n [-3, 0, -4, 1],\n [2, 0, 3, 1],\n [1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -2],\n [0, 0, -1, -1],\n [2, -1, 0, 2],\n [-2, -1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -2, 4],\n [-1, -3, 2, 0],\n [-2, 2, -4, 1],\n [4, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-1, 0, -4, -4],\n [1, 3, 3, -2],\n [-1, -1, 4, -2],\n [0, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 3, 3],\n [2, -3, 1, -4],\n [1, -4, -3, 0],\n [-1, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9796", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, -1, 4, -2],\n [-1, -2, 0, 1],\n [4, 0, -3, -1],\n [-2, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -4, -1],\n [1, 4, 0, 3],\n [-4, 0, 4, -1],\n [-1, 3, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 3, 3, -3],\n [3, -3, 1, -4],\n [3, 2, 4, -2],\n [1, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1869", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, 3],\n [4, -4, 0, -4],\n [-1, 2, 1, 4],\n [1, 1, 3, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, 2, 2],\n [-4, 0, 0, -3],\n [2, 0, 2, 0],\n [2, -3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2298", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -2, 0, 2],\n [-2, -4, 3, 2],\n [0, 3, 2, 0],\n [2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8188", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -4, 4, -1],\n [-1, 0, -2, 4],\n [3, -2, 1, 2],\n [-2, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1751", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, -1, -1],\n [-2, 0, -1, 0],\n [-1, -1, 0, -1],\n [-1, 0, -1, -3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 4, -2, 4],\n [-3, 4, -4, -1],\n [3, 3, -1, -3],\n [0, 4, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "708", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 2, -4],\n [-3, 3, -1, 2],\n [2, -1, -4, 2],\n [-4, 2, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2275", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -3, 4, 3],\n [3, 3, -1, -2],\n [-2, 0, -4, 2],\n [-4, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6354", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 2, 1],\n [-2, 3, -2, -2],\n [2, -2, 0, 2],\n [1, -2, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "362", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 4, 4, -1],\n [-3, 1, 1, 2],\n [4, -4, -1, 2],\n [-4, -3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, -3, 3],\n [3, 1, 4, -2],\n [4, 0, -2, -2],\n [-2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 4, 3],\n [-1, -4, -4, 3],\n [3, 1, -3, -2],\n [-2, -3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, -2, 2],\n [-2, -2, -2, 0],\n [-2, -2, -2, 2],\n [2, 0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1008", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 0, 0],\n [-1, 3, -3, 2],\n [0, -3, -4, 0],\n [0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2690", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 2],\n [0, 1, -4, 0],\n [0, -4, -1, 2],\n [2, 0, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "436", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 2, 4],\n [-2, 3, 0, -2],\n [2, 0, -2, 0],\n [4, -2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1554", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 0, 0],\n [-2, 0, -2, 0],\n [0, -2, -4, 0],\n [0, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "411", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, -3, 0, -4],\n [-4, -1, -1, -4],\n [-3, -2, 4, 3],\n [-3, 2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 3, 0, 1],\n [1, 1, 3, 0],\n [0, 2, -4, 1],\n [3, -3, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "218", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 3, 1, 0],\n [3, 3, -3, -4],\n [1, -3, -3, 0],\n [0, -4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -4, 0, 4],\n [0, 0, 0, -4],\n [4, -2, 3, 0],\n [1, -4, -3, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, -3, -1],\n [-1, 2, 4, -3],\n [4, -3, 1, -4],\n [0, 3, -3, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-4, -1, -2, 2],\n [-1, 0, -1, 2],\n [-2, -1, -2, 2],\n [2, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "840", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[1, 0, 0, 0],\n [0, 1, 2, -4],\n [0, 2, 3, -2],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1008", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-4, -2, 4, 0],\n [-2, 2, 0, 1],\n [4, 0, 2, 0],\n [0, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-2, -4, -4, 3],\n [4, -3, 4, 4],\n [4, 0, 0, 0],\n [1, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 0],\n [-2, 4, 1, 2],\n [0, 1, -1, -2],\n [0, 2, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "462", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, -3, 1, 1],\n [0, -3, 3, 4],\n [0, 0, -4, -2],\n [2, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-609", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -2, -2],\n [0, -3, 0, 1],\n [-2, 0, 2, -1],\n [-2, 1, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -4, -2],\n [2, -2, -4, 0],\n [-2, -4, 2, -2],\n [0, -2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3564", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 2, 0],\n [2, -1, 0, 4],\n [2, 0, -2, 0],\n [0, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2613", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -2, -2],\n [-4, 1, -1, 1],\n [-2, -1, 2, -1],\n [-2, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -1, -1],\n [-2, 1, 3, -4],\n [-2, 2, 4, -3],\n [4, 1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3982", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, 2, -2],\n [-1, 3, -3, 3],\n [-2, -4, -3, -3],\n [2, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1534", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 2, 0, -1],\n [4, 1, 4, 1],\n [3, -1, 4, -2],\n [2, -2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0, -2],\n [1, 1, -3, -1],\n [0, -3, 3, 0],\n [-2, -1, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -3, 2, 3],\n [-3, -3, -2, -2],\n [2, -2, 3, 2],\n [3, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7892", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, -1, 2],\n [0, -2, 0, -2],\n [-1, 0, 1, -4],\n [2, -2, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1820", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -2, 4],\n [-2, 0, -2, 0],\n [-2, -2, 4, -1],\n [4, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, -4, 2],\n [2, 4, -4, 2],\n [-4, -3, 2, 2],\n [-4, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, -1, 0, 0],\n [-1, -3, -1, 3],\n [0, -1, 1, -2],\n [0, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -2, -3],\n [0, 2, 2, -2],\n [-2, 2, -4, -4],\n [-3, -2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1432", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 3, 4, 2],\n [3, 4, -2, -2],\n [0, 1, -4, 1],\n [0, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "816", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-4, 2, 3, 0],\n [3, -3, -1, 4],\n [1, 4, -4, -4],\n [3, 4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 3, 2, -2],\n [1, 1, 0, 1],\n [-1, 1, 2, 3],\n [3, -2, 0, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[2, -1, -2, 2],\n [-1, -1, 0, -3],\n [-2, 0, 2, 0],\n [2, -3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, -2, 0],\n [1, 1, -1, 0],\n [-2, -1, 0, 0],\n [0, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, 2, -2],\n [2, -3, -3, -2],\n [4, -1, -4, 2],\n [2, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2724", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 1, 3],\n [-1, -4, 1, -3],\n [-2, 1, -2, -2],\n [2, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "730", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 3, -4],\n [-1, 3, 1, 2],\n [3, 3, -4, -2],\n [-4, 3, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1644", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 1, 2, -1],\n [-3, 4, 2, 1],\n [3, 3, -3, 1],\n [-4, 2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 1, -2, 2],\n [0, -4, 4, -2],\n [-3, 0, -4, 2],\n [3, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[2, 0, 1, 3],\n [0, 1, 4, -2],\n [1, 4, -3, 0],\n [3, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -3, 4],\n [-4, -2, -1, -4],\n [-4, 4, -3, -3],\n [-2, 3, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "898", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-3, 0, 0, -2],\n [0, 4, 1, 0],\n [0, 1, 2, 4],\n [-2, 0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2, -2],\n [4, 4, -4, 0],\n [-3, 4, 2, 2],\n [-4, 4, -4, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, -2, -2, -1],\n [-2, 4, -1, 2],\n [-2, -1, 3, 0],\n [-1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[-1, 0, 0, 1],\n [0, 4, 2, 0],\n [0, 2, -4, 0],\n [1, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, 2],\n [2, 0, 2, 2],\n [0, 2, -1, 0],\n [2, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[4, 3, 0, -3],\n [1, 2, 3, 0],\n [2, -4, -3, 3],\n [0, 4, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, -3, 4, 1],\n [3, -2, -3, -4],\n [-4, -2, 4, 1],\n [1, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 1, -2, 1],\n [1, 4, -3, 4],\n [2, 0, 2, 2],\n [3, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1414", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, -1, 0],\n [-1, -3, 2, 0],\n [3, 1, -4, 0],\n [-1, -3, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -2, -2, 0],\n [-2, 1, 1, -4],\n [-2, 1, -1, -2],\n [0, -4, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-640", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 4, -4, 1],\n [4, 2, 0, -4],\n [-4, 0, -4, 0],\n [1, -4, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14573", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0, -1],\n [1, 0, -3, -2],\n [-3, -4, -2, -2],\n [0, -3, -2, 4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, -1, 1],\n [2, 1, 0, -1],\n [-1, 0, -2, -1],\n [1, -1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -2, -2],\n [-2, -1, -2, -1],\n [-2, -2, 4, -4],\n [-2, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1236", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 3, 2, 2],\n [1, -2, 4, 1],\n [0, -2, -4, -4],\n [0, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 4, -2, 4],\n [1, 4, -4, -1],\n [4, -4, -3, 2],\n [0, -4, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2623", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, 3, 4],\n [4, 2, -1, 3],\n [4, 4, -4, 1],\n [-2, -2, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1151", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-3, 0, 4, -2],\n [0, -3, -1, 2],\n [4, -1, -1, 0],\n [-2, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2, -2],\n [2, 0, -2, -2],\n [-2, -2, -2, 0],\n [-2, -2, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "545", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, 4, -2, 0],\n [-3, -4, 3, 4],\n [4, 0, 2, -1],\n [1, 1, 1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -3, 3, 4],\n [2, 3, -1, 3],\n [2, 2, 2, 1],\n [-2, -3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-536", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -1, 3, 2],\n [3, 4, -1, -3],\n [0, -4, -3, 0],\n [-4, -3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 4, -1],\n [3, 4, -1, 1],\n [-4, 4, 4, 1],\n [-1, 3, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4758", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[-4, 1, 2, 3],\n [-1, 4, -4, -2],\n [-3, 2, -4, 4],\n [-4, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-525", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, -2, 2],\n [2, 0, 1, 0],\n [-2, 1, -3, 0],\n [2, 0, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2875", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, -2, 0, 1],\n [1, -1, 2, 0],\n [-1, -4, 1, -3],\n [-3, -4, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -1, 0],\n [0, -2, -2, 4],\n [-1, -2, -1, 1],\n [0, 4, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1039", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[0, 2, 1, 0],\n [2, -2, 2, 3],\n [1, 2, -2, 1],\n [0, 3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, -3, -4],\n [1, -4, 1, -4],\n [2, -2, 1, 1],\n [2, 0, -4, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-192", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 1, 4],\n [0, 4, 1, 1],\n [1, 1, 2, 2],\n [4, 1, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "796", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -1, -3, -1],\n [4, -2, 1, 3],\n [1, 1, -3, 1],\n [-2, -4, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "560", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -2, -1, 3],\n [1, -4, -1, 3],\n [2, -1, 4, 3],\n [-4, -2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-326", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[0, -3, -4, 1],\n [-4, -3, 3, 2],\n [-1, 0, 3, 1],\n [-3, -4, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, 0],\n [2, 4, 0, -2],\n [0, 0, -1, 0],\n [0, -2, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 1, 0],\n [2, -1, -1, 0],\n [1, -1, -2, 0],\n [0, 0, 0, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -1, 2, -4],\n [-2, -3, -2, -2],\n [4, 0, -2, -1],\n [4, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2494", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, -3, -4],\n [-1, 2, 0, 0],\n [3, -2, 2, 0],\n [-4, 2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "627", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, -4, 4, 3],\n [-3, -3, 1, 1],\n [-1, -2, -1, -4],\n [-4, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "505", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, 3, 0, 0],\n [0, 0, 3, -3],\n [2, 0, -3, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, -4],\n [-2, -3, 0, 0],\n [0, 0, 2, 2],\n [-4, 0, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1363", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, -4, -4, 0],\n [-4, -1, 0, 0],\n [-4, 0, 4, 4],\n [0, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, -2, 0],\n [0, 1, 0, 2],\n [-2, 0, 0, 0],\n [0, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "626", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 4, 4, -4],\n [0, -1, -2, -3],\n [1, -4, -2, -4],\n [-2, 2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "377", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 0, -2],\n [-2, -4, 0, 0],\n [0, 0, 0, -2],\n [-2, 0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-3, -2, -1, 0],\n [-2, 4, 1, -1],\n [-1, 1, -3, 0],\n [0, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[3, -3, 1, -1],\n [-3, 2, 1, 0],\n [1, 1, -2, 0],\n [-1, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, -2, -1, -3],\n [1, 4, -2, 1],\n [3, -4, 4, 2],\n [4, 1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1056", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -2, 1, 1],\n [-2, -1, -3, -4],\n [1, -3, -1, 0],\n [1, -4, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3487", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, 3, -2],\n [4, -3, -4, -1],\n [0, 1, 1, 1],\n [2, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "668", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[0, 2, -4, -2],\n [2, 3, -2, 2],\n [-4, -2, 4, 2],\n [-2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, -2, -1],\n [-2, -2, 0, 4],\n [-2, 0, -1, -2],\n [-1, 4, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6534", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 0, -2],\n [2, -4, -2, 0],\n [0, -2, -3, 0],\n [-2, 0, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "670", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, -1],\n [2, -2, 0, -4],\n [0, 0, 3, -2],\n [-1, -4, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1289", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -3, 0],\n [-3, -1, -1, 0],\n [3, -3, 2, 1],\n [2, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -4, 3, -4],\n [2, -1, -1, -3],\n [0, -3, 4, -3],\n [-1, 1, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, -1, -2],\n [0, 4, 0, -2],\n [-1, 0, 1, 1],\n [-2, -2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2211", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, 3, 2],\n [3, 3, 1, -2],\n [3, 1, -4, 1],\n [2, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5229", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[-3, 0, -3, -3],\n [1, 2, 1, -3],\n [-4, -4, -1, 0],\n [0, 4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, -1, 2],\n [1, 1, -3, 0],\n [3, 3, -2, 2],\n [2, -4, 4, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 0, 0],\n [2, 4, -1, 1],\n [0, -1, -2, -1],\n [0, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, -3, 3],\n [-1, -1, 2, 2],\n [2, -1, 0, 3],\n [-3, 4, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 2, 0, 3],\n [4, 0, 1, -4],\n [2, 0, -4, 2],\n [-4, 2, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[-3, 4, 0, -4],\n [-2, 1, -4, -4],\n [2, 3, 2, -1],\n [3, 1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "617", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0, -2],\n [2, 0, -2, 0],\n [0, -2, 4, 2],\n [-2, 0, 2, 1]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-3, 0, 2, 3],\n [0, 1, -1, 2],\n [2, -1, -2, 0],\n [3, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "744", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -1, 4],\n [-1, -3, -3, 2],\n [3, 3, 4, 4],\n [2, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1022", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 1, 4, 4],\n [4, -4, -3, 2],\n [2, 4, -4, 4],\n [1, 3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8778", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -2, -1, 1],\n [-1, -3, 4, -2],\n [3, 2, -3, -2],\n [-4, -4, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1567", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[2, -2, 2, 0],\n [-2, 1, -2, -4],\n [2, -2, -1, -2],\n [0, -4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-3, 0, 4, 2],\n [0, 2, 2, 0],\n [4, 2, 4, 2],\n [2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 1, -2],\n [0, -2, -3, -2],\n [1, -3, 2, -3],\n [-2, -2, -3, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[3, 2, 3, 0],\n [3, 1, 4, 3],\n [1, 2, -4, -2],\n [-3, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "510", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 1, 0, 2],\n [1, 4, 0, -4],\n [0, 0, 3, 2],\n [2, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 4, 3],\n [2, -3, -4, -1],\n [3, -4, 2, 2],\n [-4, -3, -4, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -1, 0],\n [-2, 1, 0, 2],\n [-1, 0, -2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2790", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 1, 1],\n [-4, -1, -2, 3],\n [-3, -4, -4, 0],\n [-4, 3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-256", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 0, -2],\n [-2, 1, 0, 2],\n [0, 0, 2, 0],\n [-2, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 2, -2],\n [-2, 3, -1, -1],\n [4, 1, 0, -1],\n [2, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "555", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 0, 2],\n [0, 1, 0, 0],\n [0, 0, -3, 2],\n [2, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2382", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[0, -3, -1, -1],\n [-3, -4, -3, 3],\n [2, -2, 1, 4],\n [3, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 4, -1],\n [-3, 2, -3, 0],\n [2, 1, 1, 4],\n [-3, 3, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -1, 0],\n [-2, -2, -4, 0],\n [-1, -4, 4, 1],\n [4, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4886", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -2, -2],\n [0, 0, -2, 0],\n [-2, -2, 0, 3],\n [-2, 0, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[3, -4, 0, 2],\n [3, 4, 1, 3],\n [-4, 0, 2, 0],\n [-3, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 1, -2],\n [-3, 1, -1, 2],\n [1, -1, 0, 4],\n [-2, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "825", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, 0, 2, -2],\n [0, 2, -1, 2],\n [-2, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, -2, 0],\n [2, -4, -1, 0],\n [-2, -1, -4, -2],\n [0, 0, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-4, 2, 1, 0],\n [2, 0, 2, -2],\n [1, 2, -4, 1],\n [0, -2, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-3, -1, 1, 1],\n [-1, 0, -2, 0],\n [1, -2, 3, 4],\n [1, 0, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 0, -1],\n [0, 0, -2, 0],\n [0, -2, -3, 0],\n [-1, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "469", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-4, 2, -2, 0],\n [2, 2, 2, 1],\n [-2, 2, 2, 0],\n [0, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 4, -2],\n [-3, 4, 3, 1],\n [2, 3, -3, 4],\n [4, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10340", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 0, 1],\n [0, -2, 3, -2],\n [1, 3, -4, 0],\n [-1, 4, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "752", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, 4, -4, 1],\n [3, -3, -1, 1],\n [-2, 3, 2, 3],\n [2, 4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-4, -2, 1, -4],\n [0, 4, -3, 0],\n [3, 3, -1, -2],\n [3, -3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -4, -3, 1],\n [0, 2, 1, -4],\n [1, 4, 1, -4],\n [2, 2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1035", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 2, -4, -1],\n [2, 2, 0, 3],\n [-4, 0, -2, 0],\n [-1, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "298", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[2, 0, -2, 2],\n [0, -2, -3, -2],\n [-2, -3, -4, 2],\n [2, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-224", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, -2, 1],\n [-3, 1, -1, 4],\n [1, 4, 0, -4],\n [2, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-1, -3, 2, -1],\n [3, -3, -1, -3],\n [-4, 4, -4, 4],\n [0, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0, -2],\n [0, 0, 2, -4],\n [0, 2, 2, -1],\n [-2, -4, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, -1, 0, -3],\n [0, 2, -3, -1],\n [3, 4, 3, -2],\n [-2, 1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 0, -1],\n [-2, -4, -2, 2],\n [0, -2, 2, 0],\n [-1, 2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4482", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 1, -4],\n [0, -2, -2, 0],\n [1, -2, 4, 0],\n [-4, 0, 0, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, 0, 1, 3],\n [2, 4, -1, 3],\n [4, 4, -2, -1],\n [0, -2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 4, 2],\n [-2, 4, 0, 2],\n [4, 0, -2, -2],\n [2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1968", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-3, 0, -1, 2],\n [0, -1, 2, -2],\n [-1, 2, -2, 1],\n [2, -2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, 0, -4],\n [4, 2, 2, -4],\n [0, 2, 3, -2],\n [-4, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, 0],\n [-2, 1, 2, 2],\n [0, 2, 3, -2],\n [0, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, 0, 2],\n [2, 3, 1, 0],\n [0, 1, 3, -2],\n [2, 0, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6465", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, 0, 0, 1],\n [0, -2, 1, 0],\n [0, 1, 3, 0],\n [1, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[0, 4, 0, -2],\n [4, -2, 2, 0],\n [0, 2, 1, 1],\n [-2, 0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, 0, 4],\n [-2, 3, 2, -4],\n [3, -2, 2, -2],\n [-3, 0, 1, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, 1, 2, 0],\n [1, -3, 2, 4],\n [2, 2, 0, -3],\n [0, 4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1717", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, 3, 3],\n [-2, -3, 3, -3],\n [-3, 1, 1, -4],\n [-3, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-426", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 1, 4],\n [-1, -4, -2, -2],\n [-4, -4, 1, -2],\n [4, -4, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5479", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -4, 0, -2],\n [-4, -4, 2, 4],\n [1, -1, -4, -3],\n [1, -4, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-619", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 2, 0],\n [-2, 2, -2, 2],\n [2, -2, 1, 2],\n [0, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2213", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, 0],\n [0, -1, 0, -2],\n [-2, 0, -3, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 1, -4, 0],\n [1, 2, -2, -1],\n [-4, -2, -2, -3],\n [0, -1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1705", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2, -2],\n [1, 1, 0, 0],\n [2, 0, 4, -2],\n [-2, 0, -2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1346", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 2, -2],\n [-1, 3, -2, -4],\n [2, -2, 1, 2],\n [-2, -4, 2, 2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -1, -3],\n [2, 4, 0, 0],\n [-1, 0, 4, -2],\n [-3, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-437", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 2, 0, 2],\n [2, -3, 2, -3],\n [0, 2, 3, -1],\n [2, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, 1, -2],\n [-4, -1, -3, -3],\n [-2, 0, 0, 0],\n [2, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-195", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, -1, 0, 1],\n [-1, 2, -1, 2],\n [0, -1, 1, 0],\n [1, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -3, -4],\n [-1, -1, -2, -4],\n [0, 2, -1, 4],\n [3, 1, -2, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[4, 2, -2, 4],\n [0, -4, -2, -2],\n [0, -2, 0, -4],\n [-1, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 1],\n [2, 1, -1, -3],\n [-1, 3, -1, -2],\n [-4, -4, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-432", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 4, -3, 0],\n [1, 3, -2, 4],\n [-4, 1, 4, -1],\n [1, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16418", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, -3, 2],\n [3, -2, 2, 1],\n [-1, -2, 1, 4],\n [1, -3, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3716", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -4, 2],\n [0, 1, 0, -2],\n [-4, 0, -4, 0],\n [2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "881", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, 2, -2],\n [3, 0, 0, 3],\n [2, 0, -1, 2],\n [-2, 3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9081", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[-3, -1, 2, -1],\n [-4, 1, 1, 2],\n [3, -1, -1, 4],\n [-2, 1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -2, 1],\n [-4, -4, -2, -2],\n [0, 0, -3, 3],\n [0, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-4, 2, 2, 0],\n [2, -4, 0, 0],\n [2, 0, 1, -2],\n [0, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-728", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-3, -2, 0, -2],\n [-1, -1, 3, -4],\n [-1, -2, -4, 2],\n [-4, 0, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -2, 1],\n [-2, -1, 0, -2],\n [-2, 0, -3, 1],\n [1, -2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[2, 2, -1, 3],\n [2, -1, -4, 2],\n [-1, 2, -1, -1],\n [-3, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -3, -4],\n [1, 1, -2, -2],\n [2, 3, 1, -4],\n [-3, -2, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, -2, 3],\n [-4, 4, 4, -1],\n [3, -2, 4, 4],\n [0, 1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4708", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 4, -1, -4],\n [4, 3, -4, 1],\n [-4, 4, -2, -2],\n [1, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "732", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0, 2],\n [0, -2, 4, -3],\n [0, 4, 0, 0],\n [2, -3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "717", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -1, 3],\n [0, -1, 0, -1],\n [-1, 0, 2, 3],\n [3, -1, 3, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -2, 0],\n [1, 1, 4, -1],\n [0, -2, -3, -3],\n [4, -3, 1, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 0, 2],\n [-3, 2, 2, 1],\n [0, 2, 4, 0],\n [2, 1, 0, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 2, 2, -4],\n [-1, 4, 0, -4],\n [2, 0, 0, 4],\n [1, -4, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, -1, 0, -2],\n [-1, -1, 0, -2],\n [0, 0, -4, 2],\n [-2, -2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "448", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[4, -1, 0, 2],\n [-1, 4, -2, 3],\n [0, -2, 4, -3],\n [2, 3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -1, 0, -3],\n [-2, 2, -4, -4],\n [-1, -4, -1, 1],\n [0, -3, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1801", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 0, 0],\n [4, -2, 3, -3],\n [-2, 1, 1, 4],\n [0, -4, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4401", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, -4, 0],\n [1, 1, -3, 3],\n [-4, -2, -2, 0],\n [-4, 1, -4, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7618", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -2, -3],\n [-3, -3, 2, -4],\n [2, 3, -3, 4],\n [2, -3, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24544", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, 1, -2],\n [-4, -1, 0, 1],\n [1, -4, -3, -1],\n [2, 0, 3, 0]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -3, -1, 2],\n [3, 4, -2, -4],\n [-1, -3, 0, -1],\n [0, 2, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 0, 2],\n [2, 1, 2, -2],\n [0, 2, 4, -1],\n [2, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "728", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, -4, -1],\n [1, -1, 4, -1],\n [3, -1, -4, 0],\n [-1, 0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1933", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 4, -3, 1],\n [3, -4, -4, 2],\n [-1, 1, 4, -3],\n [4, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[2, -4, -1, 4],\n [3, -3, 2, -3],\n [4, -2, 1, 4],\n [3, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 3, -2],\n [4, 2, 3, 0],\n [-4, -4, 1, -3],\n [0, 4, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-212", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 2, -2],\n [4, -1, 3, 3],\n [-3, 0, -2, 3],\n [1, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0, -2],\n [0, 1, 2, 0],\n [0, 2, 3, -3],\n [-2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "916", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 3, 2],\n [0, 1, -4, -4],\n [-3, -2, 3, -1],\n [2, -1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1878", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0, 2],\n [1, -4, 2, -1],\n [0, 2, -2, 2],\n [2, -1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, 2, 2],\n [3, 3, -1, -3],\n [2, -1, 2, 0],\n [2, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "498", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[4, -4, 1, 1],\n [1, -3, -3, 2],\n [-2, 0, 3, 2],\n [4, -3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, -4, 2],\n [2, 0, 0, 4],\n [-4, 0, 1, 2],\n [2, 4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1614", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, -2, -3, -2],\n [-2, -3, -3, 2],\n [3, -4, 3, 4],\n [3, 1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "639", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 1, -2, 4],\n [1, -2, 0, -4],\n [-2, 0, 3, 1],\n [4, -4, 1, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 3, 0],\n [3, 4, 0, -4],\n [3, 4, -4, 4],\n [-4, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13154", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, 2, -2],\n [-2, -4, 0, 0],\n [2, 0, 3, -2],\n [-2, 0, -2, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "337", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 2, 4],\n [-1, 2, -1, 0],\n [2, -1, -3, -1],\n [4, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 2, -3],\n [0, 1, 3, 0],\n [2, 3, -3, -1],\n [-3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "830", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -2, 3],\n [-1, 4, 0, 1],\n [-2, 0, 1, -2],\n [3, 1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "886", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[4, -4, -4, -4],\n [-4, 4, -3, 4],\n [-3, 4, 0, -3],\n [0, 1, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1179", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[0, 0, -1, 2],\n [0, 4, -2, 2],\n [-1, -2, 2, 2],\n [2, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "820", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, 4, 3],\n [2, 2, 1, -1],\n [-3, -3, 1, -1],\n [1, -3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1386", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -3, -2],\n [3, 0, 3, -2],\n [-1, 3, 1, 0],\n [4, 2, 0, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, -3, -1],\n [1, 0, 3, 4],\n [-4, 2, -3, 2],\n [3, -1, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1571", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -1, -1, 0],\n [-1, 1, -2, 0],\n [-1, -2, 1, 3],\n [0, 0, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[3, -2, 3, 2],\n [-2, 2, -2, 0],\n [3, -2, 3, 3],\n [2, 0, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "591", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 3, 0],\n [0, -1, 2, 0],\n [3, 2, -4, 0],\n [0, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-3, -3, 0, -4],\n [-2, 4, -2, -3],\n [1, 2, 1, -2],\n [-3, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 3, -2],\n [0, 1, -4, 1],\n [2, -4, -3, -1],\n [-4, 4, 4, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, 3, 4],\n [0, -4, -1, -3],\n [-3, -2, 4, 4],\n [-4, 2, 0, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -2, 0],\n [2, 0, 0, -2],\n [-2, 0, 2, 3],\n [0, -2, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 1, -1],\n [-2, -1, -3, 2],\n [-4, -1, 4, 0],\n [1, -1, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "447", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -4, -1, 2],\n [1, 2, 0, 3],\n [3, 2, -3, 0],\n [2, 2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 1, 2, 2],\n [3, -2, 4, -3],\n [-1, 0, -1, 2],\n [2, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, -2, 0],\n [2, -2, 2, -1],\n [-2, 2, -3, 0],\n [0, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[3, 4, 1, 0],\n [3, 2, 0, 1],\n [0, 2, 0, -3],\n [-2, -3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, -1, -1],\n [-3, 0, -2, 3],\n [-3, -4, 1, -2],\n [4, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, -4, -1],\n [1, 0, -4, -2],\n [-2, -4, -2, 2],\n [0, -2, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5330", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 0, 1],\n [0, -2, 0, 0],\n [0, 0, 0, 0],\n [1, 0, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -3, -1, -1],\n [-4, 4, -2, -4],\n [1, -3, 2, -1],\n [3, -3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1999", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[-2, -2, 0, 0],\n [-2, 1, 0, -2],\n [0, 0, 1, 0],\n [0, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, -4, 2, 2],\n [-4, 2, 0, -3],\n [2, 0, -4, -2],\n [2, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 4, -2, -2],\n [1, 3, 1, -4],\n [1, -4, 1, 4],\n [4, -4, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7506", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, 2, 1],\n [4, -1, -1, 1],\n [4, -3, 4, -4],\n [-2, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9092", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 3, 0],\n [-2, -1, -1, -2],\n [3, -1, 0, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-178", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[3, -2, -1, 0],\n [-2, 4, -1, 2],\n [-1, -1, 2, 1],\n [0, 2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, -3, -2],\n [-2, -1, -3, 2],\n [-2, -4, -2, -1],\n [0, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1051", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 2, 0],\n [2, -1, -1, -1],\n [-4, 1, -1, -2],\n [0, -3, -2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 1, 2, -1],\n [1, 0, -3, -2],\n [2, -3, 1, 2],\n [-1, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1273", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 4, 1, -1],\n [-1, -1, 2, -3],\n [-3, -2, 3, -2],\n [-3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-992", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, -1, -3],\n [3, 4, 4, 0],\n [0, 1, -4, -1],\n [4, 0, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3854", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 0, -4],\n [3, 3, -2, -4],\n [1, -2, 0, 2],\n [-1, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4642", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[-1, -1, -2, -3],\n [-3, -3, -4, 4],\n [-4, -1, 3, 2],\n [-1, -3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 0, 0],\n [-1, -2, 1, 4],\n [0, 1, 3, 0],\n [0, 4, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "460", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -3, 0, -4],\n [-1, 3, -3, 2],\n [1, -4, 0, -3],\n [-2, 1, 0, 4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 0, 1],\n [-1, 4, 0, 2],\n [4, 0, -2, -4],\n [-3, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2048", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -3, -2],\n [2, -3, 0, 2],\n [-3, 0, -1, 0],\n [-2, 2, 0, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[2, -4, 2, 2],\n [-3, 0, 2, 4],\n [2, -1, 4, -3],\n [-3, -1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 0, 0, 4],\n [0, -2, -4, 0],\n [-4, 1, -2, 4],\n [1, -4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, 2, 1],\n [3, 1, 2, -2],\n [-1, 1, -1, -1],\n [-2, -4, 4, 4]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, -1, 2],\n [-4, 3, 2, -2],\n [4, 2, 4, 0],\n [3, -4, 0, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -2, 2],\n [3, -4, -3, -2],\n [0, -4, 4, 1],\n [-4, 3, -2, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, 2, 1, 4],\n [2, 3, 2, 0],\n [1, 2, 1, 0],\n [4, 0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, -4, -2],\n [-2, -2, -1, 1],\n [3, 0, 0, 4],\n [3, 3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7201", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -2, 1, -1],\n [-3, -4, 1, 3],\n [2, -2, 1, 4],\n [2, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2710", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -4, -4, 4],\n [4, 2, 4, -3],\n [3, 3, 2, 2],\n [2, -1, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, -3, 0],\n [4, -1, -3, 1],\n [-1, 4, 2, -3],\n [-3, 2, -4, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1903", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -3, 3, -2],\n [-3, 3, 1, 0],\n [3, 1, -2, 0],\n [-2, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 2, -2],\n [-4, 0, 2, -4],\n [2, 2, -3, -3],\n [-2, -4, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1339", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -1, -4],\n [-3, -2, -4, 4],\n [-1, 1, 4, -1],\n [-2, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "858", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 3, 3],\n [2, 2, 1, 0],\n [-3, -1, -2, 0],\n [3, 3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 3, 4, -1],\n [3, -1, 2, 3],\n [-2, -4, 1, 3],\n [2, 3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1804", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -2, 0, 2],\n [-2, -4, -2, -3],\n [0, -2, -1, 2],\n [2, -3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4347", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 2, 3],\n [2, -3, -3, -1],\n [-2, -3, 3, -3],\n [0, -4, 3, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[2, -2, 1, 0],\n [-2, 0, -2, 1],\n [1, -2, 1, -2],\n [0, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 4, 1, 4],\n [3, 2, 0, 4],\n [2, -2, -4, -4],\n [0, 0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "488", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, -3, -4, -3],\n [-3, 3, 0, 4],\n [-1, -2, 3, 3],\n [-2, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -3, -2, 4],\n [1, 4, 4, -1],\n [-2, 1, 2, 2],\n [-1, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8930", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, 0, 2],\n [3, 1, 3, -4],\n [-1, 1, 0, 4],\n [-1, 0, -2, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 4, 4, -2],\n [4, 2, 2, -1],\n [4, 2, -3, 1],\n [-2, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4903", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -4, 0],\n [0, 0, 2, -2],\n [-4, 2, 1, -2],\n [0, -2, -2, 2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -1, -3],\n [0, 0, 0, 1],\n [4, 2, 1, -4],\n [-1, -4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 3, -1, -1],\n [-3, 0, -2, 1],\n [-4, 3, 4, 2],\n [-4, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 4, 0, 3],\n [4, 0, -3, 0],\n [-3, 2, 0, 1],\n [-3, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "666", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, 1, -3],\n [3, -1, -1, -1],\n [4, -3, -1, 2],\n [1, 4, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "440", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, 1, 1],\n [1, 4, -1, -4],\n [2, -4, 2, -2],\n [-2, -2, -4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8457", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, -4, 2],\n [3, 3, 0, 2],\n [3, -2, 3, -1],\n [2, -4, 1, -2]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-2, -2, 2, 0],\n [-2, 2, 2, 0],\n [2, 2, -4, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-384", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[-1, -2, -4, 0],\n [1, 1, 2, 0],\n [4, 0, 4, -4],\n [-3, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -3, 3, -2],\n [-3, -2, 2, -2],\n [3, 2, 0, 1],\n [-2, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3297", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, -1, 0],\n [-2, -2, 0, 0],\n [-1, 0, 3, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1890", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 2, -4],\n [1, -3, 4, -1],\n [1, -4, -3, -2],\n [3, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "337", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, 2, 1],\n [0, 0, 1, -2],\n [2, -4, -3, 3],\n [4, -3, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11939", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -4, -1],\n [4, 0, -3, -4],\n [2, 4, -4, 0],\n [-3, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 2, 2, -2],\n [2, 0, 0, 1],\n [2, 0, -2, 1],\n [-2, 1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, 4, 0],\n [0, -4, -2, 2],\n [4, -2, -3, -2],\n [0, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1762", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-4, 0, 0, 2],\n [-1, -4, -2, -4],\n [3, -3, -4, -2],\n [-4, -3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-282", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 2, -1],\n [2, 4, -3, 2],\n [2, -3, 0, 0],\n [-1, 2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, 2],\n [0, 3, 0, 3],\n [0, 0, -4, 4],\n [2, 3, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 0, 2, 4],\n [0, -3, 2, 0],\n [2, 2, 2, 2],\n [4, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1562", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[1, 3, 0, 0],\n [2, -4, -1, 0],\n [4, -2, 2, 0],\n [2, 3, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -1, 0],\n [1, 1, -4, -1],\n [-4, 2, -4, 0],\n [0, -3, 1, -4]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, 2, 2],\n [1, 3, 0, 0],\n [2, 0, 4, 0],\n [2, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "685", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 0, 1],\n [3, -3, 4, 1],\n [0, 4, -2, 0],\n [1, 1, 0, 2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, 1, -2],\n [-2, 4, -1, 4],\n [2, 3, -2, -4],\n [1, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 1, 2],\n [4, 1, 0, 2],\n [-3, 1, 4, 1],\n [1, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1032", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 0, -4],\n [2, 1, 0, 2],\n [0, 0, 3, 2],\n [-4, 2, 2, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "644", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, -2, 4],\n [2, -3, 0, 2],\n [-2, 0, -4, 0],\n [4, 2, 0, 2]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1852", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -3, 3, -1],\n [2, -3, 2, 3],\n [2, 2, 4, -1],\n [-3, 4, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1548", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -2, -4],\n [1, -2, -4, 4],\n [4, -3, 0, -3],\n [-1, -1, -1, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 4, 0],\n [-1, -3, 1, 1],\n [4, 1, -4, -1],\n [0, 1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6840", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, -1, -1],\n [4, 0, -2, -2],\n [4, -4, 3, 1],\n [4, 2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -3, -1, 3],\n [-4, -4, 1, 0],\n [-3, 1, 1, -1],\n [-1, -3, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6030", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 2, 0],\n [1, 2, 2, -1],\n [2, 2, 2, -3],\n [0, -1, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6786", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[-3, 4, -3, 4],\n [-1, -3, 4, 3],\n [-4, 2, -1, -2],\n [1, 1, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-2, 1, 0, 2],\n [1, 0, 2, 2],\n [0, 2, -3, -2],\n [2, 2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 3, 0, -2],\n [0, 1, 0, 2],\n [2, 0, -4, 1],\n [0, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-1, -4, 2, 4],\n [1, 4, 3, 0],\n [2, 0, 4, 1],\n [-2, 1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, -2, -3, -3],\n [-4, 2, -4, -4],\n [-3, -2, -2, 4],\n [0, 4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 4, 3],\n [4, -4, 1, 0],\n [-1, 2, -2, 3],\n [-3, 3, 3, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -4, 0, -3],\n [-3, 3, 3, 1],\n [0, -3, 4, -3],\n [-3, 4, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 1, -3],\n [4, 1, -3, 1],\n [4, -4, 4, -2],\n [4, 4, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-106", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 2, -2],\n [0, 0, 0, -1],\n [2, 0, -1, -2],\n [-2, -1, -2, -3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, -1, 0, 0],\n [0, 0, 3, 2],\n [2, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "453", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, 1, 2],\n [4, 3, 3, -1],\n [-1, 1, -4, 2],\n [-2, 4, 4, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5434", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, 0],\n [0, -4, 0, -2],\n [0, 0, -1, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1127", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[3, -2, 1, 0],\n [-2, -3, -1, 2],\n [1, -1, 2, 2],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 3, 1],\n [3, 0, 3, 4],\n [2, -1, 0, 1],\n [-2, -2, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 0, 0],\n [1, -1, 0, -1],\n [0, 0, 2, 0],\n [0, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, 0, -2],\n [-1, -3, 1, 4],\n [0, 1, 4, 2],\n [-2, 4, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "991", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 3, -2, -1],\n [4, 0, 1, -3],\n [-4, 2, 3, 0],\n [-1, -3, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6971", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 3, 3, -2],\n [2, -4, 3, 1],\n [-4, 1, -3, -2],\n [-3, -1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1638", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, 1],\n [0, 3, -2, 0],\n [0, -2, -4, 0],\n [1, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[4, -2, 1, 1],\n [-2, 4, 1, 2],\n [1, 1, 1, 1],\n [1, 2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "694", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-3, 3, 3, 3],\n [-1, -3, 0, 4],\n [1, -4, 2, 0],\n [2, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -4, -1],\n [0, 4, 4, -2],\n [-2, -1, 0, -2],\n [-2, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -2, -2],\n [-3, -1, 3, 0],\n [-2, 3, -2, 4],\n [-2, 0, 4, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -2, 0],\n [0, -1, 2, -3],\n [-2, 2, 1, 2],\n [0, -3, 2, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, -2, 2],\n [3, 3, -2, 1],\n [-4, -1, 2, -1],\n [-2, -4, 4, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13213", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[3, 3, -2, 1],\n [3, 0, -2, 0],\n [-2, -2, 1, -2],\n [1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-692", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, 4, -2],\n [1, 1, -1, 4],\n [-2, -4, 0, 3],\n [-1, -4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 4, -1, 2],\n [-3, 4, 4, -3],\n [-2, -2, 4, 3],\n [-3, 3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[2, -2, 0, 0],\n [-2, 0, 4, -1],\n [0, 4, -2, -1],\n [0, -1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 0, -4],\n [0, -3, 2, 0],\n [0, 2, 1, 3],\n [-4, 0, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-247", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -1, -1],\n [2, 4, 4, 2],\n [-3, -3, 0, 2],\n [-1, -2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "506", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 1, -2],\n [3, -3, 3, -2],\n [4, -2, -4, 1],\n [4, -3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, 1, 4, 0],\n [1, 2, -2, 0],\n [4, -2, 3, -3],\n [0, 0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-4, -2, -1, -2],\n [-2, 3, 2, 0],\n [-1, 2, 4, 0],\n [-2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0, 0],\n [0, -3, -2, 3],\n [0, -2, 2, -2],\n [0, 3, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-1, 4, 4, 2],\n [4, 0, 0, 0],\n [4, 0, -3, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, 1, 3],\n [4, -2, 1, 3],\n [3, -4, 4, -1],\n [3, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-847", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 4, -2],\n [2, 3, -3, 3],\n [4, -3, 3, 0],\n [-2, 3, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1747", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 4, -2],\n [0, 2, 0, 2],\n [4, 0, 0, -2],\n [-2, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "592", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 3, 2, 1],\n [3, 1, 2, 4],\n [2, -2, -2, -3],\n [4, -2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12200", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 1, -2, -1],\n [1, -2, 3, 0],\n [-2, 3, -3, 0],\n [-1, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4789", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 0, 3],\n [-3, 2, -2, -3],\n [0, -1, 3, -2],\n [1, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -4, 4, -4],\n [-2, 4, -2, -1],\n [4, -3, -2, -4],\n [0, -3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-481", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, 0, -2],\n [-1, -2, -4, 2],\n [0, -4, 2, -4],\n [-2, 2, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19514", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[1, 3, -3, -1],\n [-1, 0, 1, -3],\n [-3, -3, 2, 4],\n [-2, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -2, -1],\n [2, -3, 2, 2],\n [-2, 2, 4, 3],\n [-1, 2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7298", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 2, 3],\n [-1, 3, 4, 2],\n [-3, 0, -4, 1],\n [-4, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "617", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, -2, -4],\n [2, -2, -2, 1],\n [-1, -3, 4, -4],\n [1, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, -2, -1],\n [4, 0, -4, -1],\n [2, -2, 0, 0],\n [-1, 1, 0, -4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[4, -2, 0, 0],\n [0, 1, 1, 0],\n [3, -1, 0, -2],\n [0, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[4, 0, -3, 1],\n [0, -1, -1, 2],\n [-3, -1, -1, 1],\n [1, 2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, 2, -2, 2],\n [2, 3, 3, 3],\n [-2, 3, 2, -2],\n [2, 3, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 4, 3, -3],\n [2, 2, -2, -3],\n [-3, 2, -4, -2],\n [0, 2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 1, -4],\n [-2, -2, 0, 0],\n [-1, 1, -4, -3],\n [-4, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7660", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -2, -3],\n [-2, 1, 1, 2],\n [-2, 1, 3, 2],\n [-3, 2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3157", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[0, 0, -2, 1],\n [0, 1, 0, -2],\n [-2, 0, -4, 0],\n [1, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 4, -2, 1],\n [-2, -3, 3, 0],\n [-1, -3, 2, 3],\n [-2, 2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "909", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 1, 2, -2],\n [2, -4, -3, -2],\n [4, -2, -1, 3],\n [4, 3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, 1, -4],\n [1, -1, -4, 4],\n [4, -4, -2, 1],\n [3, -2, -1, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, -2, 0],\n [2, 4, 0, 2],\n [-2, 0, 3, -2],\n [0, 2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1290", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 1],\n [-2, 1, -2, -1],\n [0, -2, -4, 0],\n [1, -1, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 0, -2, 4],\n [-1, -3, -4, -1],\n [3, -4, -2, -3],\n [0, -4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1011", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 1, 0],\n [1, 1, 0, -1],\n [2, -4, -2, 2],\n [-4, 0, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 1, -1],\n [-4, 0, -4, 3],\n [-1, 3, 3, 0],\n [-4, 3, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "730", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 1, -3],\n [0, -4, -2, 0],\n [1, -2, 1, 0],\n [-3, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[4, 3, -3, 3],\n [-1, 0, -4, -1],\n [1, -3, -3, 3],\n [4, 0, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "555", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, 1, 4, -2],\n [-2, 3, -3, 0],\n [-4, 1, 2, 3],\n [3, -4, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7055", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 4, 3],\n [-2, 2, -2, -2],\n [4, -2, 4, -2],\n [3, -2, -2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, 0, 0],\n [-2, 4, 2, 0],\n [0, 2, -1, -2],\n [0, 0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "987", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -2, 0],\n [-4, 3, 1, -1],\n [-2, -1, -3, 0],\n [1, 4, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 0, 1],\n [2, 3, 4, 0],\n [0, 4, -3, -4],\n [1, 0, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1570", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, -2, -1, 1],\n [-2, -3, -2, 1],\n [-1, -2, -1, 4],\n [1, 1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7399", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, -3, 1],\n [-3, 3, -2, -1],\n [-4, 3, -2, -3],\n [-4, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "814", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 3, -4],\n [-4, -1, 2, -4],\n [3, -3, 0, -3],\n [4, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1202", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, -4, 0],\n [1, 2, 2, 4],\n [-4, 2, -2, 2],\n [0, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0, 0],\n [0, -3, -1, 2],\n [0, -1, -3, -2],\n [0, 2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "681", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, -2, 1],\n [3, 1, 2, 4],\n [0, 1, -1, -3],\n [3, 2, -4, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5056", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, -2, 2],\n [-1, -3, -1, -1],\n [0, -4, 4, -1],\n [0, 4, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2409", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 1, 0, -2],\n [1, 2, 4, -2],\n [0, 4, 1, 1],\n [-2, -2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2338", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, -4, -1, -4],\n [-4, -3, -4, 1],\n [1, 4, -2, -2],\n [-4, -3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2665", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -1, -1],\n [-3, 3, -2, 1],\n [-4, 1, -2, 3],\n [2, 3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "538", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2, 1],\n [-2, -3, 1, 0],\n [0, 4, -4, -3],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5765", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, -3, 2],\n [1, -3, -2, 3],\n [1, 2, -4, 2],\n [4, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "858", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, -3, 0],\n [-1, 2, 4, 3],\n [1, 2, 2, 3],\n [-3, 1, 4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1485", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 2, 0],\n [2, 0, 0, 1],\n [2, 0, 2, -1],\n [0, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "748", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 3, -4],\n [-4, -4, 0, 0],\n [2, -2, 3, -2],\n [0, 3, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, 2],\n [0, -4, 2, 0],\n [2, 2, 2, 0],\n [2, 0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-4, -2, -1, 0],\n [-2, -1, -2, 4],\n [-1, -2, 0, 0],\n [0, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -4, 3, -3],\n [0, -4, -4, 0],\n [3, 4, 2, 2],\n [-1, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 1, 0],\n [4, 2, 0, 2],\n [1, 0, 3, 2],\n [0, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 2, 1],\n [0, 0, 0, 0],\n [2, 0, 4, 2],\n [1, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, -3, 1],\n [3, -1, -4, 2],\n [-2, -4, 3, 2],\n [-1, 0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -4, -2, 1],\n [-3, 4, -2, -2],\n [-2, 2, -3, 0],\n [4, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10989", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 4, 0, -1],\n [-1, 4, 3, 4],\n [-2, -2, 1, 0],\n [0, 2, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[4, 2, 4, -3],\n [-4, 0, 1, 2],\n [4, -3, 4, 0],\n [-1, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 2, -3],\n [3, 2, -4, -4],\n [4, 3, -3, 2],\n [-3, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 0, -4],\n [2, 1, 0, -2],\n [0, 0, -1, -2],\n [-4, -2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1059", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-4, 0, 4, -2],\n [2, 4, 3, 3],\n [-1, -1, -4, 2],\n [4, -3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, -2],\n [0, 0, 0, 0],\n [2, 0, -4, 0],\n [-2, 0, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2, -3],\n [-2, 1, -3, 2],\n [-4, 0, 2, 0],\n [1, 2, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, 4, -4, -2],\n [2, -4, 4, -3],\n [1, 3, 4, -2],\n [-3, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[0, 2, 2, 4],\n [2, 2, 0, 1],\n [2, 0, 3, -1],\n [4, 1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 4, 0],\n [2, -3, -1, -3],\n [4, -1, -2, 0],\n [0, -3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1835", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 4, -1, 0],\n [-1, 1, 2, 4],\n [1, -2, 2, -3],\n [4, 0, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "632", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 1) of the result:\nA =\n[[2, 0, -2, 2],\n [0, -4, 0, 3],\n [-2, 0, 0, 0],\n [2, 3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -4, 0],\n [0, -2, -3, 3],\n [-3, -2, 3, 1],\n [1, -2, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -1, 2],\n [4, 2, 0, 1],\n [-2, -1, -1, 4],\n [4, -2, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "404", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 3, 2],\n [3, 4, 0, 3],\n [-4, -2, -3, -2],\n [1, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2804", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-2, 2, -2, 0],\n [2, -1, 2, -2],\n [-2, 2, -4, 0],\n [0, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -4, 0, 1],\n [4, -3, -2, -3],\n [-4, -4, 4, -4],\n [4, 3, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3350", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, 1, -2],\n [2, 4, -1, 2],\n [1, -3, 2, -1],\n [1, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[3, -2, -4, 1],\n [4, 3, 0, 0],\n [3, 4, 0, 4],\n [-4, -4, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-567", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 4, -2],\n [-2, 4, 2, 0],\n [4, 2, -4, -1],\n [-2, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, 0, 0],\n [-3, -1, -3, -2],\n [0, -3, -4, -1],\n [0, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1183", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, 2, 0],\n [0, 4, -2, -3],\n [2, -2, -1, 0],\n [0, -3, 0, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 0],\n [2, -3, 0, 0],\n [-2, 0, -3, -2],\n [0, 0, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-294", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[-3, -2, -2, 0],\n [-2, -1, -3, 0],\n [-2, -3, 4, -2],\n [0, 0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 0, -2, 2],\n [0, 4, 1, 2],\n [-2, 1, 3, 0],\n [2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2582", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 0, -2],\n [-2, -2, 2, 4],\n [0, 2, 2, 2],\n [-2, 4, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5041", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[4, 4, -2, -3],\n [4, -1, 2, -2],\n [-2, 2, -2, -2],\n [-3, -2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "706", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, 0, 0, 0],\n [0, 1, -3, 1],\n [0, -3, 1, 2],\n [0, 1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "335", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -1, 0],\n [0, -3, 2, 1],\n [-1, 2, 1, -1],\n [0, 1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[3, -2, 0, 2],\n [-2, 2, -4, 4],\n [0, -4, 3, 2],\n [2, 4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "679", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, -1, -2],\n [4, 3, -2, -4],\n [-1, -2, -2, 0],\n [-2, -4, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11218", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[4, 0, -3, 3],\n [3, 3, 0, 0],\n [-4, 3, -4, 2],\n [4, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 1, 2],\n [0, 1, 0, 2],\n [1, 0, 2, -3],\n [2, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "501", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, 2],\n [2, 2, 1, 0],\n [0, 1, 3, 3],\n [2, 0, 3, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 2, -3],\n [2, -2, 4, 4],\n [4, 3, -4, 0],\n [1, 4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1770", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -4, 3, -3],\n [-4, -2, 2, -3],\n [0, 0, -3, -3],\n [4, 2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6042", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 2],\n [2, -2, -2, 3],\n [0, -2, 4, 0],\n [2, 3, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1108", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 2, 3],\n [-2, -2, -2, 0],\n [3, -2, -1, -3],\n [4, 4, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[2, 2, -1, 0],\n [2, -1, -2, -1],\n [-1, -2, 4, 0],\n [0, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -2, 1],\n [2, 1, 3, 1],\n [-2, 3, 0, -2],\n [3, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, -3, 1],\n [2, -4, 1, -3],\n [-4, 0, -3, 2],\n [3, -4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 2, -4],\n [-2, -3, 2, 4],\n [2, 2, 2, 2],\n [-4, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, 0, 1],\n [-3, -4, 0, 2],\n [0, 0, 3, 0],\n [1, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-321", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 1, -2],\n [4, -4, 4, -4],\n [3, -2, -3, 2],\n [-2, 1, 0, -4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 2, 2],\n [2, 2, 3, -3],\n [2, 3, -2, 0],\n [2, -3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5393", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, -4, 1],\n [-3, -2, -3, -2],\n [0, 1, -1, -4],\n [4, 0, 2, 3]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-2, 2, 0, 1],\n [2, -1, -2, -2],\n [0, -2, -2, 4],\n [1, -2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, 4, 1, -1],\n [0, 1, 0, 2],\n [-2, -1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 0, 1],\n [-1, 3, 2, 0],\n [0, 2, 3, -2],\n [1, 0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -2, 2, -4],\n [-1, -4, -2, 3],\n [1, -3, 1, 3],\n [1, 3, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1686", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 3, -4],\n [3, -4, -2, 3],\n [1, -4, -2, -3],\n [1, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, -3, -3],\n [4, 2, 3, -2],\n [4, 3, 2, 4],\n [-2, -1, -3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-914", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 2, 2],\n [-2, 4, 2, -1],\n [4, -1, -1, -4],\n [-2, 0, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[3, 0, 1, -1],\n [0, 0, 2, 2],\n [1, 2, 4, 2],\n [-1, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 3, 4],\n [4, -1, -3, 4],\n [2, 3, -1, 2],\n [-4, 2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[1, 0, 1, 0],\n [0, 1, -1, 2],\n [1, -1, -2, 0],\n [0, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[-1, -2, 0, 0],\n [1, 4, 1, 1],\n [1, 0, 3, 1],\n [0, 3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[4, 0, 0, -1],\n [0, 2, -2, 1],\n [0, -2, 2, -1],\n [-1, 1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-179", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0, -1],\n [-1, -3, 1, 0],\n [0, 1, -3, -1],\n [-1, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1285", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, -1, 2],\n [2, 0, -2, 0],\n [-1, -2, -3, 1],\n [2, 0, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1230", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 3, -2, -1],\n [0, -4, 1, 1],\n [2, 4, -4, 3],\n [4, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1347", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 1, 0, -4],\n [2, 1, -2, 1],\n [0, 4, -1, 4],\n [-1, -1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-4, -2, 0, 2],\n [-2, 4, 1, 0],\n [0, 1, 3, 0],\n [2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "828", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -1, -1],\n [0, -3, 0, 2],\n [-1, 0, 3, 2],\n [-1, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[3, 0, 3, -3],\n [-1, -4, -1, 0],\n [-4, 3, 0, 0],\n [-3, -3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-189", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[2, -1, 1, 4],\n [2, 2, -3, 0],\n [-1, -1, 0, 2],\n [0, -3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, 2],\n [2, -3, 0, -4],\n [0, 0, 1, -2],\n [2, -4, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2658", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, -1, 2, 2],\n [-1, -4, 0, 2],\n [2, 0, 3, 0],\n [2, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[-1, 0, -1, 0],\n [0, 2, -3, 2],\n [-1, -3, -3, -1],\n [0, 2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 4, 3],\n [3, -1, 1, 4],\n [2, -2, 3, 2],\n [-3, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, -4],\n [0, 1, -3, -3],\n [-2, -3, 4, -1],\n [-4, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4233", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, 2, 0],\n [1, 2, 2, -1],\n [2, 2, 1, 0],\n [0, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, -4, 2, -2],\n [4, 1, 1, 2],\n [-4, 2, 3, 3],\n [-3, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -2, 0, -1],\n [-2, -4, 2, -2],\n [0, 2, -2, 1],\n [-1, -2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4681", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -3, 2, -3],\n [-3, 4, -2, -1],\n [2, 1, -3, 4],\n [-4, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1185", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, 1, 0],\n [0, -2, 1, 0],\n [1, 1, -3, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, -3, -3],\n [1, 3, -2, -3],\n [-3, -4, -3, 4],\n [-1, -2, -1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4966", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, -2],\n [0, 1, 4, -2],\n [0, 4, 2, 2],\n [-2, -2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3034", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 4, 3, 3],\n [-3, -1, 3, -2],\n [-4, -3, 2, -4],\n [2, 0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2392", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, 2, 0],\n [4, -4, 3, -4],\n [1, 4, 0, 0],\n [3, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[3, 0, 0, 2],\n [0, 4, 2, 0],\n [0, 2, 3, 0],\n [2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[0, 0, -4, 3],\n [-3, 4, -4, 2],\n [-4, 4, -1, -2],\n [-1, -1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 2, 2],\n [3, -2, 2, 0],\n [2, 2, 4, -2],\n [2, 0, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1431", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, -3, 0],\n [-4, -4, 1, -2],\n [4, 0, 3, 4],\n [-1, -1, 3, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 3, -4],\n [2, 3, 4, 4],\n [-3, 2, 4, -1],\n [3, -1, -1, -1]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -2, 0, -1],\n [2, 0, 4, 0],\n [-1, 3, 4, 1],\n [-2, 4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6509", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, 1, 3],\n [1, 4, -2, -4],\n [4, -2, 2, -2],\n [-3, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, 2, 1],\n [2, -4, -4, -1],\n [4, 4, -1, 1],\n [-1, -1, 3, -4]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 2, 1, -4],\n [1, 3, 3, -4],\n [-3, -1, -4, -1],\n [2, -1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1516", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[2, 2, 4, 2],\n [-3, -1, 4, 1],\n [-1, -4, -4, 4],\n [1, -3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, 0, 0],\n [0, 0, 1, -2],\n [0, 1, -4, 3],\n [0, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, 2, -2, 0],\n [-1, -3, 4, -3],\n [-2, 0, -2, -4],\n [1, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -3, -4, 2],\n [0, -2, -1, 0],\n [3, -1, 0, 4],\n [4, 3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "755", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -4, -3],\n [1, -3, 2, 1],\n [-4, 2, 3, 2],\n [-3, 1, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-4, -4, -4, 2],\n [-4, 2, 0, -2],\n [-4, 0, 1, 0],\n [2, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-512", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2, -3],\n [1, -3, -2, 0],\n [2, -2, 3, 0],\n [-3, 0, 0, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, -1, 1],\n [3, -3, 1, 0],\n [4, -4, -3, 4],\n [2, 3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "612", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, -2, 4, -1],\n [3, -1, 3, -4],\n [-1, 0, 0, 1],\n [1, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -4, -1, -3],\n [3, -4, 4, 4],\n [-1, -4, 1, 2],\n [-3, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "870", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 0, 4],\n [3, 4, -1, 3],\n [0, -1, -2, 0],\n [4, 3, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, -2, -1, 3],\n [0, 3, -4, 3],\n [-3, 4, 4, 1],\n [0, 3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 4, 3],\n [0, -1, -3, -3],\n [-3, -4, 4, 0],\n [1, 0, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 4, -4],\n [4, 3, 1, 0],\n [-2, 4, 2, 0],\n [0, -4, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -1, -3, 0],\n [-4, -3, 1, 3],\n [0, 0, 1, -3],\n [1, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "463", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 1, 0],\n [-1, -2, -4, 0],\n [1, -4, -4, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "802", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -2, -3, 0],\n [-2, 4, 0, 2],\n [-3, 0, -1, -4],\n [0, 2, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3448", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[1, -2, -2, -4],\n [0, -1, 3, -4],\n [-1, -1, -2, -1],\n [-3, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 4, 0],\n [2, 0, -2, 0],\n [4, -2, 3, 4],\n [0, 0, 4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5837", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, -1, 2, -1],\n [-2, 1, -4, -2],\n [0, 3, 0, 0],\n [-3, 4, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, 1, 1, -4],\n [1, -2, -3, -2],\n [-3, -4, -1, 1],\n [3, 3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1255", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2, 3],\n [-2, 4, 0, 3],\n [1, -1, 2, 1],\n [2, 3, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "838", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[4, 1, 3, -4],\n [-2, -4, 0, 4],\n [-2, -4, 4, -3],\n [3, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, -1, 2, 2],\n [-1, -2, 4, -2],\n [-2, 3, -2, -1],\n [-3, 3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3627", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 1, 1, 3],\n [-4, 4, 4, 4],\n [1, 1, -1, 0],\n [3, -2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[2, 0, 0, 2],\n [0, 3, 2, 0],\n [0, 2, 1, 0],\n [2, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 0, -3],\n [0, 3, -4, -4],\n [0, -4, -1, 0],\n [-3, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-432", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -1, 0, 0],\n [-1, 4, -3, 3],\n [0, -3, 4, 0],\n [0, 3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 3, 3],\n [-4, 4, 0, 3],\n [2, 2, 0, -3],\n [-4, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-1, -1, 0, 1],\n [-1, -2, 1, 0],\n [-2, 4, 0, 3],\n [-4, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[4, -1, -1, 0],\n [-1, 0, -3, -2],\n [-1, -3, 2, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -3, 0, 0],\n [-3, -1, -4, -1],\n [0, -4, -1, -4],\n [0, -1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13867", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, -3, -1],\n [2, 4, -2, -1],\n [-3, 2, 1, -2],\n [-3, 3, 2, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, 0, -2],\n [-2, 2, -2, 0],\n [0, -2, 3, -2],\n [-2, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[1, 2, 0, 2],\n [2, -4, 2, -2],\n [0, 2, 0, -2],\n [2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-270", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, -1, -1],\n [-2, -1, 2, 2],\n [-1, 2, 1, 4],\n [-1, 2, 4, -2]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[0, 1, -4, -3],\n [-1, -3, 3, -4],\n [-1, 4, -4, -2],\n [4, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2033", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, 3, -1],\n [0, -2, 1, 1],\n [0, 1, -4, 1],\n [3, 2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "601", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 2, -1],\n [-3, 4, -2, 2],\n [2, -2, -1, 2],\n [-1, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1487", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0, -2],\n [1, 1, 0, 1],\n [0, 0, 3, -3],\n [-2, 1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2626", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 3, -2, 2],\n [3, 2, 0, -2],\n [-2, 0, 4, 1],\n [2, -2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, -3, 1],\n [-2, 0, 0, -4],\n [2, -4, -1, 2],\n [0, 4, 2, -2]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -2, 0],\n [0, -3, -1, 2],\n [-2, -1, 3, -3],\n [0, 2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1007", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -2, 2, -2],\n [3, 0, 1, 0],\n [-4, 3, 4, -2],\n [0, 3, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "542", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 0, 2],\n [-2, -3, 0, 2],\n [0, 0, -1, 2],\n [2, 2, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, 0, 0],\n [4, -4, 0, 1],\n [1, 4, 3, -3],\n [0, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1288", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 4, -2, 0],\n [-2, -4, -1, -3],\n [-3, 1, -2, -1],\n [-3, -3, 0, -4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 0, 1],\n [3, -3, 0, 4],\n [-1, 4, -1, 4],\n [2, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8212", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, 3, -1],\n [2, -4, 1, 3],\n [-2, 1, 0, 4],\n [2, -1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 0],\n [0, 1, -1, -1],\n [2, -1, 0, -1],\n [0, -1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -1, 2],\n [3, 1, -2, 2],\n [-1, -2, 1, 2],\n [2, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "718", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -4, 3, 1],\n [0, -2, -4, -4],\n [-3, 0, -2, -1],\n [-2, -3, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-689", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -4, -1],\n [2, 0, -2, -2],\n [3, -1, -2, 4],\n [-2, 0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "459", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, 2, -1],\n [1, -1, -2, 2],\n [2, -2, 2, 0],\n [-1, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 2, 1],\n [0, -4, 1, -1],\n [2, 1, 4, -2],\n [1, -1, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2562", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, -2],\n [0, -2, -2, -2],\n [0, -2, -2, 0],\n [-2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4037", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, -2, 1],\n [-2, -1, 2, 2],\n [4, 3, 3, -3],\n [4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2394", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 4th power of the matrix:\n[[-1, 2, -1, 2],\n [-1, -3, -2, -1],\n [-3, 4, -1, -4],\n [-4, 1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, -1, 2],\n [-3, 0, 3, 4],\n [0, 4, 0, 3],\n [4, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 2],\n [2, 3, -1, 4],\n [0, -1, -2, 4],\n [2, 4, 4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1166", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, -1, 4],\n [4, 0, 0, 1],\n [-1, 0, -2, 2],\n [4, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13675", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 4, -4],\n [1, -3, 2, -1],\n [0, 4, -1, 3],\n [-2, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, -2, 3],\n [0, -3, 0, 0],\n [-2, 0, 0, -2],\n [3, 0, -2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1683", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[4, 0, 0, 0],\n [0, 4, 0, 2],\n [0, 0, 4, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 1) of the result:\nA =\n[[0, -2, -4, 1],\n [-2, 1, 0, 0],\n [-4, 0, 0, -2],\n [1, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, 0, -3, 3],\n [4, 2, -4, -1],\n [3, -1, 4, 2],\n [4, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 2, -2],\n [-2, -3, -1, 0],\n [2, -1, 4, 1],\n [-2, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4341", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -1, -2, 0],\n [-1, -1, -2, -2],\n [-2, -2, 2, 0],\n [0, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -3, 1],\n [4, 1, 2, 4],\n [1, 0, -2, -1],\n [-4, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -4, 2],\n [3, 4, -3, 1],\n [1, -4, -4, 1],\n [-4, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "937", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 4, 0],\n [-2, -3, 0, -1],\n [4, 0, 2, 2],\n [0, -1, 2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-2, -2, -2, -2],\n [-2, 4, 2, -4],\n [-2, 2, -1, 2],\n [-2, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, -1, -1],\n [-4, -3, 1, -2],\n [-1, 1, 4, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, 1, -2],\n [-2, -4, 1, -2],\n [1, -4, -3, -1],\n [-4, 1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4252", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 0, -1],\n [-2, -3, 0, -2],\n [0, 0, -3, 0],\n [-1, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2540", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, -3, 0],\n [0, 3, 2, 2],\n [-3, 2, -3, -3],\n [0, 2, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5915", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[0, -1, -3, 0],\n [2, -3, 3, -2],\n [4, 1, 0, -2],\n [4, 4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^4 where A is:\n[[-2, -1, -2, 0],\n [4, 1, 1, -4],\n [0, 3, 0, -4],\n [1, -1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, -4, -4],\n [-3, -2, 0, 4],\n [-4, -4, -1, -3],\n [0, 1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "830", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, 0, 2, -2],\n [0, -3, 0, 3],\n [2, 0, -3, 3],\n [-2, 3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7079", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, 0, 0],\n [0, 1, -1, -1],\n [0, -1, -1, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0, 2],\n [0, 3, -1, -2],\n [0, -1, 1, -4],\n [2, -2, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "862", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, -4, -1, 1],\n [0, -1, -3, -3],\n [0, 1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, 0, 2, 1],\n [0, 1, 0, 1],\n [2, 0, 3, -1],\n [1, 1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -1, 0, -3],\n [-1, 0, 4, 0],\n [0, 4, -3, 0],\n [-3, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -2, -1, 0],\n [-2, -3, -2, -2],\n [-1, -2, -1, 2],\n [0, -2, 2, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "557", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 4, 3],\n [2, -2, -3, 1],\n [3, -3, -4, 1],\n [1, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3264", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 1, 1],\n [-2, 4, 0, 0],\n [1, 0, 1, 2],\n [1, 0, 2, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-514", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 1, 0],\n [0, -2, -1, 2],\n [1, -1, -4, 0],\n [0, 2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0, -1],\n [-2, -2, -2, 0],\n [0, -2, -3, -3],\n [-1, 0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "694", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 1, -2],\n [0, -4, 0, 0],\n [1, 0, 0, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, -2, -1],\n [-1, 3, 0, -2],\n [-2, 0, 4, 0],\n [-1, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2317", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -2, -2, -3],\n [-2, 2, 4, 0],\n [-1, 2, -1, 3],\n [2, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 2, 0],\n [-1, 2, 0, -2],\n [2, 0, -2, -2],\n [0, -2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2062", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, -4],\n [0, 0, 2, -3],\n [-2, 2, 1, 2],\n [-4, -3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, -1, -2, -1],\n [-1, 0, 0, 1],\n [-2, 0, 4, -4],\n [-1, 1, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[3, -2, -2, 4],\n [-2, 0, 0, 0],\n [-2, 0, -4, 0],\n [4, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-296", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, -4, 4],\n [-4, 2, 2, 1],\n [-3, 4, -2, 1],\n [-3, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1176", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, -1, -4],\n [-4, 2, 2, 3],\n [-1, 4, -1, 0],\n [-3, 1, -2, -3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 3, 2],\n [0, -2, 0, -2],\n [-3, 3, -2, -2],\n [-4, -3, 1, -4]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -3, -2],\n [0, 2, -4, 2],\n [4, 3, 0, -2],\n [3, 4, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -3, 1],\n [-3, 2, 2, 1],\n [-1, 2, 2, -3],\n [-1, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3979", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, 0, 4],\n [0, 2, 0, -2],\n [0, 0, 2, 0],\n [4, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1241", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 2],\n [0, 3, -3, 0],\n [-2, -3, 1, -2],\n [2, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "724", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -3, 4, -2],\n [-3, 2, 2, -4],\n [4, 2, 3, -4],\n [-2, -4, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4383", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0, 0],\n [0, 2, 0, 2],\n [0, 0, -2, -2],\n [0, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "342", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 0, -2, -2],\n [0, -4, 2, 2],\n [-2, 2, -4, 0],\n [-2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2793", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 3, 0],\n [2, -4, -2, -2],\n [3, -2, 4, -1],\n [0, -2, -1, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[3, -2, -1, -4],\n [4, -3, 2, -3],\n [-1, 4, -2, 4],\n [3, -1, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0, 4],\n [4, 3, -3, 1],\n [-3, 1, 0, 1],\n [2, 3, 1, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 3, -4, 4],\n [-1, -1, -1, 4],\n [1, 3, -2, 2],\n [3, 3, 1, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, -2, -1],\n [-4, -1, -3, -3],\n [-1, -2, 4, 4],\n [-3, 4, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6172", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 1, 0, 4],\n [1, 4, -2, 4],\n [0, -2, 3, -1],\n [4, 4, -1, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1230", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -4, -3],\n [0, 2, 4, 1],\n [-4, -1, 1, -1],\n [2, -4, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[1, -1, 1, -2],\n [-1, -1, -2, 2],\n [1, -2, 3, 0],\n [-2, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 4th power of the matrix:\n[[-2, 2, 2, -1],\n [2, 3, 0, -2],\n [2, 0, 4, -3],\n [-1, -2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, 0, -2],\n [-1, 1, -2, 3],\n [0, -2, -4, -2],\n [-2, 3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1918", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, -4, -4],\n [-1, 3, -1, 2],\n [-4, -1, 4, 1],\n [-1, -3, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7872", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 2, -1, 1],\n [-2, -1, 1, -1],\n [-1, -4, -3, 4],\n [4, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 2],\n [2, 2, 2, 2],\n [0, 2, -4, 0],\n [2, 2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1282", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 1, -2],\n [0, -4, -2, 2],\n [1, -2, 3, -3],\n [-2, 2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "889", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -2, -4],\n [0, 3, 0, -2],\n [-2, 0, 1, 2],\n [-4, -2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, 4, 1, -1],\n [-2, -4, 3, -3],\n [1, 1, 2, 2],\n [3, 2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[1, 1, 1, 1],\n [3, 3, 1, -2],\n [-1, -1, 2, 4],\n [0, -2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4952", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -2, -2],\n [0, 3, 4, 0],\n [-2, 4, 4, -2],\n [-2, 0, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1513", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, 0, 2],\n [0, -1, -2, 0],\n [0, -2, -3, 0],\n [2, 0, 0, 4]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 2, -3],\n [-1, 0, 3, 4],\n [-1, -3, 4, 0],\n [2, 0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, 2],\n [2, 2, 1, -4],\n [1, -3, -3, -4],\n [-1, 1, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2942", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[1, -2, -2, -3],\n [-4, -4, 2, 0],\n [1, -3, 1, -4],\n [2, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -3, 2],\n [0, 3, 2, -1],\n [2, 0, 2, -1],\n [-2, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "301", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, -2, 2],\n [0, -4, -1, 0],\n [-2, -1, 2, 0],\n [2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "843", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 4, 2, 2],\n [4, -1, 0, 1],\n [2, 0, 2, 2],\n [2, 1, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2225", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -3, 4, 1],\n [1, 1, -2, 2],\n [-4, 4, 1, -4],\n [3, -4, 1, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "768", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -1, -2, 3],\n [-4, 1, -3, -4],\n [-3, 1, 0, -3],\n [0, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1379", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-4, -2, 2, 2],\n [-2, 0, 2, 0],\n [2, 2, 3, 2],\n [2, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 1, 0],\n [-1, 3, 0, -3],\n [-3, 0, -1, -2],\n [2, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 0, -1],\n [0, 4, 0, 0],\n [0, 0, -4, -3],\n [-1, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2050", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 2, 0],\n [0, 2, 1, 0],\n [2, 1, -1, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "527", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, -4, 4, 1],\n [-1, 4, 3, -3],\n [2, -2, -4, 0],\n [2, -4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1948", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 0, 0],\n [3, -3, -2, -4],\n [-2, 3, 1, -1],\n [-4, 3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6932", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 4, 0, 0],\n [4, 0, -2, -2],\n [0, -2, 0, 0],\n [0, -2, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-912", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 4, -1],\n [-1, -3, 2, -3],\n [-4, 1, 4, 3],\n [-4, -1, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1072", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, 0, -4],\n [2, 2, -4, -1],\n [0, -4, 4, -3],\n [-4, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12284", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[1, 3, -1, 4],\n [2, 2, 0, -1],\n [1, 0, -1, -4],\n [0, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[2, -4, 3, 2],\n [0, 3, 4, 1],\n [4, -2, -3, 0],\n [-3, 2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3310", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 4, 2],\n [2, -3, -1, 3],\n [4, -1, -1, -4],\n [2, 3, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3514", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 2, -2],\n [-1, 3, 4, 0],\n [2, 4, 0, -2],\n [-2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7694", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, -3, 0],\n [1, 3, 0, -4],\n [1, 3, 2, 1],\n [-2, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "621", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 1, 4],\n [2, -2, 0, 0],\n [1, 0, 0, -2],\n [4, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "352", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 0, -4],\n [-3, 2, 3, 2],\n [3, 1, 4, 1],\n [-3, 4, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7947", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 0, 2, 0],\n [0, 1, 0, 1],\n [2, 0, 3, -2],\n [0, 1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "678", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[3, 4, -2, 1],\n [1, 0, -3, 0],\n [-3, 4, -3, -2],\n [-4, -3, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 2],\n [-2, -3, -1, 4],\n [-3, -3, -2, 3],\n [-2, -4, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "565", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[4, 3, 3, -2],\n [1, -1, 2, -2],\n [-4, 0, 0, -3],\n [3, 0, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 4, -1, 3],\n [3, 0, -1, 2],\n [0, 0, 3, -4],\n [3, 4, -4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "531", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0, 0],\n [0, -2, 0, -2],\n [0, 0, -2, 4],\n [0, -2, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[1, -2, -3, 3],\n [-4, 0, -4, -2],\n [-2, -3, -4, -2],\n [0, -3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "643", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[3, -2, -4, 0],\n [-2, -1, 0, 2],\n [-4, 0, 4, -1],\n [0, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 2, -2, -3],\n [2, 3, -2, 2],\n [4, 3, 0, -3],\n [4, -1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1686", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[3, 1, 0, 1],\n [4, -2, -2, -2],\n [-2, -2, -4, -3],\n [-4, 3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 3, -3],\n [0, 0, 2, 0],\n [3, 2, 1, 0],\n [-3, 0, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1653", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 1, -1, 2],\n [2, 4, 2, 3],\n [1, -1, -3, -3],\n [-2, -3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1526", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 3, 4],\n [-2, -1, 4, 4],\n [0, -1, 0, -1],\n [-3, 0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -4, -3],\n [-2, 3, 2, 1],\n [-4, 2, -4, -2],\n [-3, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2011", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 2, -2, -1],\n [2, 2, -1, -2],\n [-2, -1, 3, -2],\n [-1, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, -4, -1, 2],\n [0, -1, 0, 2],\n [0, 2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 2, -3],\n [0, 4, 4, -4],\n [-3, 2, -4, -3],\n [-3, 2, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1478", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 4, -2, 2],\n [-4, -3, -2, -3],\n [3, -2, 1, -1],\n [-3, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "725", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 0, 4, 2],\n [0, -2, 0, 0],\n [4, 0, -2, 0],\n [2, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4757", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[-1, 3, 1, 0],\n [3, 1, -3, 2],\n [1, -3, 0, -1],\n [0, 2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0, 1],\n [2, 4, 1, -1],\n [0, 1, 0, 0],\n [1, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "327", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[0, 4, -1, 2],\n [4, -2, 4, 2],\n [1, -3, -4, 2],\n [-2, -1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-3, 0, 0, 1],\n [0, 3, 2, -1],\n [0, 2, 1, -2],\n [1, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0, -1],\n [4, 3, -2, -4],\n [-2, -2, 3, -3],\n [-4, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[4, 2, 3, 0],\n [2, -1, 2, -2],\n [3, 2, 2, 2],\n [0, -2, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9659", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -1, 0],\n [2, 2, 0, 0],\n [-1, 0, 4, -2],\n [0, 0, -2, -1]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, 0, 4, -4],\n [-3, 1, -2, -3],\n [-4, 0, -3, 2],\n [-2, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, 2, 0, -1],\n [2, -2, 1, 2],\n [0, 1, 4, -2],\n [-1, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -4, -4],\n [-3, -4, 3, 4],\n [2, 4, 0, 2],\n [4, -2, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, -4, 0, 4],\n [-4, -1, -4, 3],\n [3, -3, -3, 1],\n [-3, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "334", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, -3, -1, 0],\n [-3, 1, 0, -3],\n [-1, 0, -4, -1],\n [0, -3, -1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5398", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 3, 0],\n [-2, 0, 0, 0],\n [3, 0, 1, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -1, -4, -4],\n [4, 3, 3, 1],\n [2, 3, 4, 1],\n [3, -4, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, -4, 0, -3],\n [1, 2, -2, 1],\n [4, -4, 0, -1],\n [1, 4, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 1, 0],\n [4, 4, 3, -4],\n [2, 1, -2, 1],\n [0, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7973", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 0, 3],\n [0, -3, -2, 0],\n [0, -2, 0, -2],\n [3, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2242", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -2, 1, 2],\n [-2, -2, -1, 0],\n [1, -1, -4, 0],\n [2, 0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1437", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, 2, 1, 2],\n [2, 4, 0, 0],\n [1, 0, -1, 1],\n [2, 0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, -2, 2, 2],\n [-2, 3, -2, -1],\n [2, -2, 3, 2],\n [2, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, 1, 1],\n [2, -3, -4, -2],\n [4, 0, -3, -4],\n [-2, 2, 4, -1]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[2, 3, 0, 2],\n [3, 4, 0, 0],\n [0, 0, 4, 2],\n [2, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 0, -2, 4],\n [0, 3, 0, 2],\n [-2, 0, 2, -2],\n [4, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 1, 4],\n [0, 3, 1, 2],\n [1, 1, -1, 0],\n [4, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -3, -1],\n [-2, -2, 1, 0],\n [-1, -4, 1, 4],\n [0, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "596", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 2, 2, -3],\n [2, -2, 0, -3],\n [2, 0, -3, -2],\n [-3, -3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1268", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 1, -1, -2],\n [-2, 3, 0, -2],\n [-1, 2, 2, 0],\n [-4, 3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, -2],\n [0, -2, -4, -3],\n [-2, -4, -4, 4],\n [-2, -3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1035", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, -4, -2],\n [3, -4, -1, 3],\n [2, 2, -4, 2],\n [1, 4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3674", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, -2, 2, 4],\n [-2, -1, 1, 0],\n [2, 1, 3, -4],\n [4, 0, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, 1, -1],\n [4, -3, 3, 1],\n [-1, 3, -1, 2],\n [4, 4, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 0, 2],\n [1, 2, 0, 4],\n [0, 0, 2, 1],\n [2, 4, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "544", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -1, 0, 2],\n [-1, -1, 0, -2],\n [0, 0, -3, 0],\n [2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "383", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 2, 1, -3],\n [0, 3, 4, 1],\n [1, -1, 0, 3],\n [-1, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2297", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 3th power of the matrix:\n[[-4, 1, -3, -3],\n [3, 0, -3, -4],\n [-4, 0, 2, 1],\n [-2, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -2, 2, 0],\n [-2, -2, 0, 2],\n [2, 0, 4, 0],\n [0, 2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2336", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -4, 0, -2],\n [-4, -1, 0, 0],\n [0, 0, 0, -2],\n [-2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-387", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, 3, -2],\n [1, -1, -2, 2],\n [-2, 3, -1, -3],\n [2, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "542", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, 2, -1, 4],\n [3, 3, 1, -2],\n [2, 3, -4, 0],\n [4, 1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1030", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0, 2],\n [0, 0, 2, 0],\n [0, 2, 1, 0],\n [2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, -2, 0],\n [-1, -2, 2, 2],\n [-4, 4, 3, 0],\n [-3, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[-4, 0, 2, 0],\n [0, 3, 2, 2],\n [2, 2, 1, -2],\n [0, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -2, 2],\n [4, -1, 4, -3],\n [4, 2, 0, -4],\n [-3, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "712", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^3 where A is:\n[[0, -1, 2, -2],\n [-1, -4, 0, 4],\n [2, 0, -2, 2],\n [-2, 4, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, -1, 2],\n [2, -2, 1, 4],\n [-2, 0, 3, 0],\n [3, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "323", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, 1, 2],\n [0, 0, 2, -2],\n [1, 2, -1, 3],\n [2, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 2, 0],\n [0, -1, 2, -3],\n [2, 2, -4, 2],\n [0, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, -4, 1],\n [4, 3, 1, 3],\n [-2, 0, 2, -4],\n [4, 0, 4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1594", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[1, -1, 2, -4],\n [-1, -4, -1, -2],\n [2, -1, 2, -1],\n [-4, -2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-197", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -2, 4, -2],\n [0, -1, 1, 2],\n [-4, 3, -1, -4],\n [1, 1, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "749", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 3, 0, -4],\n [-3, -1, 3, 3],\n [2, 2, -1, 3],\n [0, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-527", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 1, -2, 3],\n [1, 3, -2, 0],\n [-2, -2, 4, 2],\n [3, 0, 2, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7950", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, -1, 2, 1],\n [-1, -3, -4, -3],\n [-1, -3, 0, -3],\n [1, -1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -3, -2],\n [2, -4, -2, -2],\n [-3, -2, -1, 2],\n [-2, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4968", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 4, 4],\n [4, -2, 0, -3],\n [4, -2, 0, -4],\n [0, -2, 4, 1]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-2, 4, -1, -3],\n [3, -1, 4, 0],\n [-3, -1, -4, -4],\n [-4, 0, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-283", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 1, 2],\n [0, -3, -3, 2],\n [1, -3, 4, 0],\n [2, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 3, 3],\n [-3, 1, -3, 4],\n [3, 2, -2, -3],\n [1, -2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8654", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 3, 2, -2],\n [3, -3, 0, 0],\n [2, 0, 4, -2],\n [-2, 0, -2, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 0, -2, 0],\n [0, 4, 0, 2],\n [-2, 0, 3, 0],\n [0, 2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "981", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, 0, -4],\n [-1, 1, 2, 4],\n [-1, 0, -3, 3],\n [-1, 0, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 3, 0],\n [2, -1, 2, 0],\n [3, 2, 0, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 0, 0, -2],\n [0, 2, 2, 0],\n [0, 2, 2, 2],\n [-2, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1686", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-2, 2, 0, 4],\n [2, 2, -4, 0],\n [0, -4, 2, 1],\n [4, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "736", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 2, 4],\n [1, -2, 0, 0],\n [-2, -2, 3, 0],\n [4, 4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "972", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -1, -4, -3],\n [3, 4, 2, 1],\n [0, -1, -2, 2],\n [-2, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-472", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-1, 4, 2, 2],\n [0, 2, -3, -4],\n [-1, -3, -4, -3],\n [-1, -3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0, 0],\n [0, -4, 0, -1],\n [0, 0, 3, 3],\n [0, -1, 3, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0, -4],\n [3, 1, -4, -2],\n [-2, 0, 0, 4],\n [1, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-282", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -3, -4],\n [-2, 3, -4, 3],\n [-1, 3, 1, 0],\n [0, -1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "826", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, -4, 1],\n [-2, 1, 1, 1],\n [4, 0, -2, 0],\n [-4, -4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 0, -3],\n [-2, -3, 3, -2],\n [0, 3, 4, -4],\n [-3, -2, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1928", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, -4, -3],\n [-3, 4, -3, -3],\n [2, 3, -3, -3],\n [1, 3, -4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4814", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 0, 4],\n [2, -4, -2, -2],\n [0, -2, 3, 0],\n [4, -2, 0, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1547", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -1, 0],\n [-2, 3, 2, -2],\n [-1, 2, 2, 0],\n [0, -2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, -2],\n [2, -1, 1, 0],\n [0, 1, -2, 0],\n [-2, 0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 1, -1, 0],\n [0, -1, -1, 1],\n [-3, 2, -3, 0],\n [-1, 2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "526", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[3, -2, 0, -2],\n [-2, 3, -1, -2],\n [0, -1, 2, 2],\n [-2, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[2, -3, -1, -1],\n [-2, -4, 0, 4],\n [2, 4, -4, 4],\n [3, -1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-862", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 0, 0, 2],\n [0, -2, 2, -2],\n [0, 2, 0, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, -4, -2],\n [2, -1, 0, 0],\n [-4, 0, -4, 1],\n [-2, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1077", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 0, 2, -2],\n [2, -3, 3, -1],\n [3, 3, 1, -4],\n [2, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "354", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, 3, -4, -1],\n [0, 2, -1, -1],\n [0, 2, -3, -1],\n [-1, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1104", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, 0, 0],\n [1, -4, 0, -2],\n [0, 0, 2, 0],\n [0, -2, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "939", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 2) of the result:\nA =\n[[-3, 4, -2, -2],\n [4, -1, 0, 0],\n [-2, 0, -1, -2],\n [-2, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-496", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -3, -1, 3],\n [-1, -4, 1, 4],\n [2, -2, -3, 0],\n [-1, -1, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "390", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 2, 1, 0],\n [-4, 0, -2, 1],\n [3, 0, -3, 3],\n [0, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 0, 0],\n [2, -1, -2, -2],\n [0, -2, -4, 0],\n [0, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5410", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-4, 1, -3, 0],\n [-2, 1, -2, -4],\n [0, 0, -4, 0],\n [-2, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 0, 3, -2],\n [0, 2, 3, -1],\n [3, 3, -3, -4],\n [-2, -1, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2841", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, 0, -4],\n [4, 1, 0, 0],\n [0, 0, 2, 0],\n [-4, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1473", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-2, 0, 2, 0],\n [0, -3, 2, -1],\n [2, 2, 0, -2],\n [0, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, 0, 2],\n [0, -1, -4, 2],\n [0, -4, 0, 0],\n [2, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "573", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -3, 3, -4],\n [-1, -1, -2, -1],\n [2, -3, 2, 3],\n [-2, 2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2610", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, 1, -4],\n [1, -2, 2, -2],\n [1, 2, -1, 0],\n [-4, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1023", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 0, 0],\n [0, 2, -2, -3],\n [0, -2, 4, -4],\n [0, -3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "904", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 2, -2, 0],\n [2, -4, 0, -2],\n [-2, 0, -2, 0],\n [0, -2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "477", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-3, 1, -2, -2],\n [1, 0, 2, -3],\n [-2, 2, -3, 0],\n [-2, -3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 3, 1, -2],\n [0, 0, -3, -3],\n [0, -2, -3, 3],\n [-2, -1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 3, 3, -2],\n [1, -3, -1, -2],\n [2, -3, 3, -1],\n [-3, 4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 1) of the result:\nA =\n[[3, 0, -2, -2],\n [0, 4, -2, 3],\n [-2, -2, -1, 0],\n [-2, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 2, -1],\n [2, 0, 0, 4],\n [2, 0, 0, 2],\n [-1, 4, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5136", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-4, -4, -4, 1],\n [4, 3, -2, 3],\n [0, 2, 4, -4],\n [1, -4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[4, 3, -2, 2],\n [3, 2, -4, 1],\n [-2, -4, 0, -3],\n [2, 1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-207", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[-4, 2, 1, 1],\n [-1, 1, 0, -1],\n [2, 1, -3, 0],\n [3, 4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, 1, -1, 0],\n [-1, 4, 0, 1],\n [3, -2, 1, -1],\n [1, -3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 1, -1, 2],\n [1, 1, 0, 0],\n [-1, 0, 3, -1],\n [2, 0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -1, 0],\n [0, -3, 2, 0],\n [-1, 2, -1, 2],\n [0, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[1, 0, 0, 4],\n [4, 1, -4, 1],\n [4, -2, 4, -3],\n [2, -4, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2070", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 0, -2, -4],\n [-4, 0, 2, 2],\n [-3, 3, -1, 0],\n [2, -1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 2, -1, -4],\n [1, -3, -4, 1],\n [2, 4, 0, -1],\n [-3, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, 1, 4],\n [-1, -1, -1, 3],\n [-1, 2, 2, 0],\n [2, -1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -3, 0],\n [4, 0, -2, -2],\n [0, -3, 2, 3],\n [1, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4803", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, 1, 3],\n [-3, -2, 0, 4],\n [-1, 1, 2, 0],\n [4, 3, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2018", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2, 0],\n [0, 2, 2, 0],\n [-2, 2, -4, 4],\n [0, 0, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 2, 0, 3],\n [2, -3, -2, 0],\n [0, -2, 2, 1],\n [3, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3252", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 1, -4],\n [0, -3, 2, 1],\n [1, 2, -2, -3],\n [-4, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-214", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -3, -1],\n [1, 3, 2, -3],\n [0, 1, -2, -1],\n [1, 4, -2, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -4, -4],\n [-1, -3, -4, -1],\n [1, -2, 4, 2],\n [-4, 4, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "876", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, -1, 1],\n [-4, 2, 2, 4],\n [-1, 2, 3, 2],\n [1, 4, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19289", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-4, 2, 0, 1],\n [2, -3, 2, -2],\n [0, 2, -4, -2],\n [1, -2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 2, 0],\n [1, 4, -3, 4],\n [2, -3, 0, -1],\n [0, 4, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1078", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[2, 0, 2, -3],\n [0, 1, 0, 0],\n [2, 0, 0, 1],\n [-3, 0, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, -4, 0],\n [2, -2, -3, 3],\n [3, 0, 4, 4],\n [-4, -3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1399", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 3, 1, -2],\n [3, -4, -3, 0],\n [1, -3, 1, -2],\n [-2, 0, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8852", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, -2, 2],\n [2, -1, -1, -3],\n [4, -2, 3, -3],\n [3, -2, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "706", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 2, 4, 0],\n [2, 2, -1, -2],\n [4, -1, -1, 0],\n [0, -2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "514", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 2, 0, 2],\n [2, 0, 0, -2],\n [0, 0, -3, -1],\n [2, -2, -1, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[3, 0, 4, 3],\n [0, -4, 0, 3],\n [2, 0, -4, -3],\n [-4, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-250", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0, 0],\n [-3, -4, 2, -4],\n [1, 4, 4, 3],\n [-3, 3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 3, -3],\n [-1, -4, 2, 3],\n [3, 2, -4, -2],\n [-3, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14893", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, -2, 1],\n [1, 1, 0, 2],\n [-2, 0, -4, 4],\n [1, 2, 4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, -3, -1],\n [-1, -2, 0, 4],\n [-3, 0, 4, 2],\n [-1, 4, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1144", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, 2, 0],\n [0, -4, 0, -1],\n [2, 0, 4, 1],\n [0, -1, 1, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, 0, -3, -1],\n [0, -4, 0, -4],\n [-3, 0, -4, 2],\n [-1, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 2, 0],\n [0, 1, 0, 2],\n [2, 0, 3, -4],\n [0, 2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1017", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, -2, 1, -2],\n [-2, -2, -2, 0],\n [1, -2, 3, 0],\n [-2, 0, 0, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-2, -3, -2, 3],\n [2, -1, 0, 4],\n [1, 4, -3, 2],\n [0, 2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 4, -1, -2],\n [-1, -3, -1, -2],\n [-3, 1, 4, 2],\n [2, -2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-4, 4, 2, -2],\n [1, 2, -4, 2],\n [4, -2, 4, 0],\n [3, -3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 3, 0],\n [0, -4, -2, -4],\n [-3, 3, -3, 2],\n [3, 1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "266", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, 3, 0],\n [-3, 2, -2, 2],\n [3, -2, 3, 3],\n [0, 2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "492", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 3, -1, -4],\n [4, -4, 1, -2],\n [3, 3, -2, 3],\n [3, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4536", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-1, 2, 3, -4],\n [-3, 1, -3, 4],\n [-1, 1, -2, -1],\n [4, 3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -3, 0],\n [0, 0, 0, 2],\n [-3, 0, 3, 2],\n [0, 2, 2, 0]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 2, 3, -3],\n [-1, 2, 3, 4],\n [0, -1, -3, 1],\n [0, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "741", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-4, 2, 0, -2],\n [2, -3, 0, 0],\n [0, 0, -1, -1],\n [-2, 0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -2, -1],\n [2, -3, 0, 1],\n [-2, 0, -1, -4],\n [-1, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1276", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-1, -2, 0, -2],\n [-2, -4, -3, 0],\n [0, -3, 2, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 2, 3],\n [-2, -1, -3, -1],\n [-3, 1, -4, -4],\n [2, 2, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -3, 0],\n [2, -4, 1, -2],\n [-3, 1, 2, 0],\n [0, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4445", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 0, -2, 0],\n [0, 1, 2, 2],\n [-2, 2, -2, 0],\n [0, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2785", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, -3, 3, -3],\n [-2, -1, -1, -3],\n [4, -2, 3, 1],\n [-2, -3, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11199", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^4 where A is:\n[[1, 2, 4, 2],\n [2, 0, 0, 0],\n [4, 0, 3, 0],\n [2, 0, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 4, 2, -2],\n [4, -3, 0, -2],\n [2, 0, 4, -2],\n [-2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2982", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 4, -1],\n [2, 2, 4, 1],\n [2, -3, 1, 2],\n [1, -3, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1851", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 2],\n [0, 4, 0, -2],\n [0, 0, -2, 0],\n [2, -2, 0, -2]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -4, -1, -2],\n [-4, -1, 4, -2],\n [-4, 1, 2, -1],\n [3, -1, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2175", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, -4, 1],\n [-2, 1, -3, -4],\n [-4, 1, -3, 0],\n [-1, 3, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6951", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, 0, 3, -1],\n [0, 3, 1, 2],\n [3, 1, 4, 2],\n [-1, 2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7955", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[4, -1, -1, -1],\n [0, 0, 2, -3],\n [-2, 1, 4, 0],\n [-4, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, -2, 3],\n [0, -4, 2, 2],\n [-2, 2, -2, -2],\n [3, 2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8645", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -2, 3],\n [0, 2, -2, -2],\n [-2, -2, -1, -3],\n [3, -2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1461", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-4, -4, 0, -2],\n [-4, -2, -4, -2],\n [0, -4, 1, 1],\n [-2, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16621", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^4 where A is:\n[[-4, -2, -4, -2],\n [-2, -1, 0, -4],\n [-4, 0, 3, 2],\n [-2, -4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1090", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 2, 3, 4],\n [-3, 1, -1, -3],\n [2, 4, 1, 4],\n [3, 4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1533", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -1, -2],\n [-2, 3, 0, 0],\n [-1, 0, -1, -3],\n [-2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[4, 4, 2, 0],\n [1, 1, -2, 4],\n [-2, -1, -3, 1],\n [4, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 2, -2],\n [-2, -3, 0, -1],\n [2, 0, 2, 2],\n [-2, -1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2336", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -2, 0],\n [-3, -1, 3, -1],\n [-2, 3, -2, 1],\n [0, -1, 1, 4]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 3, -2],\n [-3, -2, -2, -1],\n [3, -1, 0, -1],\n [2, 0, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "640", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 1, 0],\n [-3, 0, 1, 0],\n [1, 1, -3, 0],\n [0, 0, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "527", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[3, 1, 0, -1],\n [1, 4, 0, -2],\n [0, 0, 2, 3],\n [-1, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[4, -2, 0, 0],\n [-2, 1, -2, -2],\n [0, -2, 0, 2],\n [0, -2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -2, -3],\n [2, -2, 2, 0],\n [-2, 2, 1, 0],\n [-3, 0, 0, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-195", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, 0, -2],\n [-2, 0, -3, 1],\n [0, -3, -3, 0],\n [-2, 1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "522", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-1, 4, 1, 2],\n [-3, -2, 0, 1],\n [2, -1, 1, -1],\n [-1, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 3, -2],\n [-2, -2, -4, -3],\n [-3, 2, 4, 2],\n [-1, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[2, -2, -1, 0],\n [-2, -3, 2, 0],\n [-1, 2, -3, 2],\n [0, 0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 2, 0],\n [2, -4, 3, 3],\n [4, 3, 4, -1],\n [-2, 3, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2620", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[-4, -2, 0, 2],\n [-2, -4, 0, 1],\n [0, 0, 4, 2],\n [2, 1, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[4, 1, -4, -4],\n [-4, 4, -1, 2],\n [3, 4, -2, -2],\n [3, -2, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-4, 2, -4, -2],\n [2, -2, 4, 0],\n [-4, 4, 0, 0],\n [-2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, -1, -2],\n [0, 2, 0, -1],\n [-1, 0, -1, 0],\n [-2, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 4) of the result:\nA =\n[[2, 2, 0, 0],\n [2, 3, -2, 0],\n [0, -2, 0, -3],\n [0, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 2, -3],\n [-3, -2, 1, 2],\n [-1, 3, -2, 0],\n [4, -2, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^4 where A is:\n[[4, 2, 2, -2],\n [2, 1, 4, 0],\n [2, 4, -2, -2],\n [-2, 0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-558", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -4, 0],\n [2, 0, 1, -1],\n [-4, 1, -4, 0],\n [0, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1067", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^3 where A is:\n[[-4, 2, -2, -4],\n [2, -1, 2, -2],\n [-2, 2, -2, 0],\n [-4, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 0, 2],\n [2, -1, -3, 0],\n [4, -4, -2, -1],\n [-2, -3, 3, -4]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, 0, 3],\n [2, -2, -2, -1],\n [0, -2, -2, 0],\n [-4, -1, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "560", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 2, 2],\n [0, 4, -2, -2],\n [2, -2, -2, 0],\n [2, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "779", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 3, -4],\n [4, -4, -3, -1],\n [-1, -1, 3, 2],\n [1, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1221", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, 4, -1, 3],\n [1, 0, -2, 0],\n [-2, 0, 1, 2],\n [3, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[1, -1, -4, -2],\n [-1, 1, -4, -4],\n [-2, 3, 0, -4],\n [4, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 2, -4],\n [0, 1, 0, 2],\n [2, 0, -3, -1],\n [-4, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1118", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -3, -2],\n [0, 1, -2, -4],\n [-3, -2, 4, 0],\n [-2, -4, 0, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11350", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -1, -2],\n [-1, -2, -1, 2],\n [-1, -1, 0, 1],\n [-2, 2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 2, 0],\n [2, 3, -2, -1],\n [2, -2, -1, 1],\n [0, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, 2, -2, -4],\n [-3, 2, -2, 2],\n [-3, -1, -1, 4],\n [-3, 1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 3, 0],\n [3, 0, -1, 1],\n [1, -2, 1, 3],\n [1, 3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3876", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 0, 4],\n [2, -2, 2, 0],\n [0, 2, -3, 2],\n [4, 0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1446", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[4, 4, -3, -2],\n [-2, 4, -2, 2],\n [4, 4, -1, 2],\n [-4, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-315", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -4, -1, -1],\n [-4, -4, 2, 2],\n [-1, 2, 4, 0],\n [-1, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 2) of the result:\nA =\n[[0, -4, 2, -1],\n [-4, 4, -3, -1],\n [2, -3, -4, 1],\n [-1, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2322", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -1, -2],\n [0, 2, 2, 4],\n [-1, 2, -3, 2],\n [-2, 4, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "325", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 3, 0, -3],\n [-4, 0, 3, 4],\n [3, 2, 4, -3],\n [3, -4, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8366", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 0, 0, 0],\n [0, -2, 2, 0],\n [0, 2, -3, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "422", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[4, 2, 2, 0],\n [2, 3, 1, 0],\n [2, 1, -2, -2],\n [0, 0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, -4, 4, 1],\n [-4, 2, 2, -2],\n [4, 2, 4, 0],\n [1, -2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, -3, 1, -2],\n [-3, 2, -3, -2],\n [0, 3, -3, -2],\n [1, 3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-434", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, 1, 3],\n [0, -1, 2, 1],\n [1, 2, -1, 2],\n [3, 1, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4467", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, -2, -3],\n [0, 4, 2, 2],\n [0, -2, -3, 1],\n [2, -4, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2358", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -4, -3],\n [-4, 2, -1, 2],\n [-2, -2, -3, -4],\n [2, -4, 3, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "990", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, 1, -2, 3],\n [1, -1, 2, -1],\n [-2, 2, -4, -2],\n [3, -1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3119", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -1, -4, 3],\n [-4, 0, 2, -3],\n [0, -3, 2, 2],\n [2, -2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -1, 3, 0],\n [2, 0, 2, -2],\n [0, -1, 4, 1],\n [-1, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1280", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, -4, -1],\n [4, 2, -2, 0],\n [-3, 4, 0, -3],\n [-2, -1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, 4, 3],\n [-1, 1, 2, -2],\n [-2, -4, -4, 1],\n [3, 1, 1, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11656", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^3 where A is:\n[[-1, 1, -2, 4],\n [-1, 2, 2, 0],\n [-2, -3, -3, -3],\n [-1, 4, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, 0, -2, -2],\n [0, 0, 2, -4],\n [-2, 2, -3, 2],\n [-2, -4, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 4, 4],\n [0, -2, 4, -2],\n [4, -4, -2, 4],\n [-1, -4, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1003", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -3, -2, 0],\n [-3, 3, -1, 4],\n [-2, -1, -3, 0],\n [0, 4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6235", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[0, -3, -3, 1],\n [-3, -3, 2, -1],\n [-3, 2, 2, -3],\n [2, -2, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-1, -1, 3, 1],\n [-2, -3, -3, -3],\n [-2, -2, 1, 4],\n [-1, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1578", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 2, 2],\n [-2, 4, -1, 2],\n [2, -1, 2, -2],\n [2, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -4, 1, 4],\n [-3, -1, 0, -3],\n [4, 1, 2, 4],\n [-1, -1, -4, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4436", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -1, 2],\n [0, -3, 1, 1],\n [-1, 1, 4, 2],\n [2, 1, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "635", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, -2, 0],\n [1, -4, 0, -2],\n [-2, 0, 1, -1],\n [0, -2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2642", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 1, -1, -2],\n [1, 3, 0, 1],\n [-1, 0, -4, 2],\n [-2, 1, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "935", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -3, -1, 0],\n [-3, 1, -1, 4],\n [1, 3, 0, 2],\n [-1, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1079", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, -1, 4],\n [-2, 4, -4, -3],\n [1, -4, 4, -3],\n [-3, -2, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1450", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[-1, 0, 0, 2],\n [0, -3, -4, -3],\n [0, -4, -3, 2],\n [2, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1637", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 2, 0, -2],\n [-3, -2, -2, -1],\n [-1, 0, -2, -3],\n [-2, -2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "579", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, 3, 1, 1],\n [-4, -2, -2, -3],\n [-4, -2, 3, 2],\n [-4, 3, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[2, 3, 1, 4],\n [3, 0, 0, 0],\n [1, 0, 2, 1],\n [4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6174", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, -1, 0],\n [1, -4, 3, -1],\n [-1, 3, 3, -1],\n [0, -1, -1, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "761", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0, -2],\n [2, -4, -2, 0],\n [0, -2, 3, -4],\n [-2, 0, -4, 4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1547", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, -3, 3, 1],\n [1, 4, 3, 3],\n [-1, -3, -1, 0],\n [0, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1932", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[1, 0, -2, -2],\n [0, 1, -2, 2],\n [-2, -2, 4, 0],\n [-2, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 3, -2, -1],\n [4, 1, -4, 0],\n [-1, -2, -4, 3],\n [1, -1, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3446", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, -1, 0],\n [-3, 2, -1, 1],\n [-1, -1, 3, 1],\n [0, 1, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 0, 0, -1],\n [0, 1, 1, 0],\n [0, 1, -4, 0],\n [-1, 0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-4, 0, 2, 0],\n [0, 2, -2, -1],\n [2, -2, 4, 0],\n [0, -1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2982", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 0, 2],\n [3, 0, 1, 3],\n [0, 1, -2, 0],\n [2, 3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5204", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 2, 4, -2],\n [-4, -3, 2, 3],\n [0, -4, 1, -3],\n [-2, 1, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, 4, -1],\n [-4, -1, -2, 2],\n [-2, 3, 2, -3],\n [2, -4, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1174", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, 2, -2, 0],\n [2, -1, 1, 4],\n [-2, 1, 1, -2],\n [0, 4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2601", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 0, 0],\n [-3, 2, 1, 0],\n [0, 1, -3, 2],\n [0, 0, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "618", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -2, -2, -2],\n [-2, -4, 4, 3],\n [-2, 4, 2, 0],\n [-2, 3, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3722", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, -2, 3],\n [3, -1, 3, -3],\n [2, -4, -2, 0],\n [-3, 0, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1250", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[2, -1, 3, 4],\n [-3, 1, 0, 3],\n [3, -4, -4, 1],\n [3, 4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 3, 3, 3],\n [-4, 0, -1, -3],\n [2, 0, -2, 3],\n [0, 0, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1406", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 0, -1],\n [-3, -1, 1, 0],\n [0, 1, 3, -1],\n [-1, 0, -1, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 4, -2, 0],\n [-1, -4, 3, -1],\n [-2, 3, 1, 4],\n [1, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "916", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-2, 1, 0, -2],\n [1, 3, 0, 4],\n [0, 0, -1, 4],\n [-2, 4, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-469", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -2, 4],\n [-2, 3, 2, -3],\n [-2, 2, 4, 2],\n [4, -3, 2, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-4, 0, 0, 1],\n [0, 3, 0, 0],\n [0, 0, 4, -4],\n [1, 0, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 4) of the result:\nA =\n[[-1, 3, -2, -1],\n [-1, -4, -3, 0],\n [1, -4, 3, 3],\n [-1, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-179", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[0, 0, -2, 0],\n [0, 1, -4, -2],\n [-2, -4, 4, 0],\n [0, -2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "648", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^4 where A is:\n[[3, -2, 0, -2],\n [-2, 0, -4, 2],\n [0, -4, -1, -1],\n [-2, 2, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "549", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -3, 2, 3],\n [-4, 0, 2, -3],\n [3, 4, 3, -1],\n [1, -1, -1, 3]], determine the value at position (4, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "540", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 4, -2, 1],\n [-4, -4, 0, 0],\n [4, 1, -2, -3],\n [2, 0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "484", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-1, 3, 4, 4],\n [-4, -1, 0, -2],\n [2, 1, 2, 3],\n [2, -1, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -3, 0, 4],\n [-4, -2, 2, -4],\n [1, -2, 1, 3],\n [1, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-224", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-3, -1, 2, -1],\n [4, -2, -1, -1],\n [-4, 0, -4, 4],\n [-3, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[4, 0, -1, -2],\n [1, -2, 0, 4],\n [0, 2, -3, -3],\n [-3, -2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -3, -2, -4],\n [2, 0, 3, -1],\n [-3, 4, 2, 2],\n [4, 2, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1010", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 0, -1],\n [0, 1, 0, 0],\n [0, 0, -1, 0],\n [-1, 0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0, 1],\n [2, 2, 0, 2],\n [0, 0, -1, 0],\n [1, 2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "647", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-3, 1, 1, -1],\n [-4, -1, -2, -4],\n [4, 0, 2, 1],\n [-2, -3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -1, -2],\n [2, 1, -4, 1],\n [4, 0, 0, 3],\n [-3, -4, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1034", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -1, 1, -1],\n [-1, -4, 1, 4],\n [1, 1, 0, 3],\n [-1, 4, 3, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 0, -3, -1],\n [2, -1, -2, -4],\n [0, -4, -3, -1],\n [4, 0, 1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2901", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2, 0],\n [1, 1, 3, -2],\n [-2, 3, -3, -2],\n [0, -2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-422", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 0, 0],\n [-2, -2, 2, 0],\n [0, 2, -1, -2],\n [0, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "576", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (3, 3) of the result:\nA =\n[[-4, -1, -2, 1],\n [-1, -2, -1, 0],\n [-2, -1, 4, 0],\n [1, 0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "446", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 1, 2],\n [-1, 2, 2, -1],\n [0, 4, 0, 3],\n [4, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -2, -2],\n [0, -3, 0, 1],\n [-2, 0, -2, 2],\n [-2, 1, 2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3006", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -4, 3],\n [0, 4, 2, -3],\n [-3, 4, -3, 0],\n [-4, 2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -1, 0],\n [0, -4, -1, 2],\n [-1, -1, 0, -3],\n [0, 2, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "787", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -3, 0, -3],\n [2, -1, -4, -3],\n [4, -1, -4, 0],\n [1, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 4, -4, -2],\n [4, 4, 0, -2],\n [-4, 0, -4, -2],\n [-2, -2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-299", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 1, -4],\n [1, 0, 0, 3],\n [-3, 2, -2, 2],\n [-4, -1, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, 0, 2, -2],\n [0, -2, 0, 0],\n [2, 0, -2, 0],\n [-2, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -2, 4],\n [0, 4, 0, 4],\n [-2, 0, 1, 0],\n [4, 4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10059", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, -2, -1, 0],\n [3, 1, 0, -1],\n [4, 2, -3, 0],\n [2, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[0, -1, 2, 0],\n [-1, -4, -4, 0],\n [2, -4, -2, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 4, -4, 0],\n [-2, 3, -4, -1],\n [-1, -1, -3, -3],\n [3, 2, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-530", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-2, 0, 2, -2],\n [0, 1, 0, 3],\n [2, 0, 0, 2],\n [-2, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-213", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-4, -1, -1, -2],\n [4, -4, 1, -1],\n [3, -4, 2, -2],\n [0, 1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, -4, 0],\n [1, 3, 3, -4],\n [-4, 3, 1, 2],\n [0, -4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1591", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[1, -2, -2, -2],\n [-2, -4, -2, 2],\n [1, -2, -1, -4],\n [2, -1, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2438", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 4, -2, 1],\n [4, -1, -2, 0],\n [-2, -2, 2, -2],\n [1, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "991", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -1, -4],\n [-4, -4, -4, -2],\n [4, -4, -3, 2],\n [1, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11507", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 0, 0],\n [2, 4, 2, 0],\n [0, 2, 1, -2],\n [0, 0, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "526", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[2, -2, 1, 2],\n [-2, -4, -1, -1],\n [1, -1, -4, 1],\n [2, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 3, -3, 2],\n [2, 4, -1, -3],\n [4, -1, 2, 1],\n [-3, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3944", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 0, -4],\n [2, -4, 2, 2],\n [0, 2, 3, 0],\n [-4, 2, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 0, 0, 2],\n [0, 3, 2, -1],\n [0, 2, 1, 1],\n [2, -1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1788", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -4, -3, -1],\n [-3, 0, -3, -2],\n [-3, 2, 2, -3],\n [3, 3, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-312", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, -4, 1],\n [-3, -2, 0, -2],\n [2, -4, -4, -4],\n [-3, -4, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1284", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, 1, 4],\n [0, 3, 1, -1],\n [-4, 1, -2, 2],\n [-3, 1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1791", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, 2, -3, 0],\n [2, -1, 4, -4],\n [-3, 4, 0, 0],\n [0, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^4 where A is:\n[[-3, 0, 0, 2],\n [0, -4, -2, 2],\n [0, -2, -1, -2],\n [2, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -2, 2, 2],\n [1, -1, -2, -3],\n [-1, 1, 3, -3],\n [3, 3, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-693", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 0, 2],\n [-3, -4, 0, -2],\n [0, 0, -1, 4],\n [2, -2, 4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 1, -2],\n [0, 1, -1, 0],\n [1, -1, -4, 0],\n [-2, 0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -4, -1, 4],\n [2, -4, -3, -2],\n [2, 0, 1, 3],\n [3, -4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "500", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[2, 4, 3, 4],\n [3, 3, -3, 2],\n [4, 1, 4, -1],\n [2, -2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -2, -3],\n [0, 0, -1, -2],\n [-2, -1, 2, -2],\n [-3, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-176", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -4, 0, 2],\n [-4, 2, -3, 0],\n [0, -3, 3, 1],\n [2, 0, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1184", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, -1, -2, 0],\n [-1, -2, 2, 0],\n [-2, 2, 3, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "749", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 0, -2],\n [1, 0, 3, -2],\n [0, 3, -2, 0],\n [-2, -2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[0, 4, 0, -4],\n [4, 1, 1, 0],\n [0, 1, -1, 2],\n [-4, 0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 4, 4, 4],\n [-4, 2, 2, -4],\n [-1, 0, 3, 0],\n [-3, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[3, -3, -4, -3],\n [-4, 2, -4, 4],\n [-3, -3, 1, 4],\n [-3, 3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20262", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 4],\n [0, 4, -2, -2],\n [0, -2, -2, -2],\n [4, -2, -2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5042", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, -2, 1],\n [3, 3, -3, -4],\n [1, 2, 0, 1],\n [-2, -4, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 1, 0],\n [-2, 2, 0, -1],\n [1, 0, -2, 0],\n [0, -1, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 3) of the result:\nA =\n[[-2, 1, 0, -2],\n [1, 3, -3, -2],\n [0, -3, -1, -2],\n [-2, -2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^4 where A is:\n[[-4, 2, -1, -2],\n [2, 1, 2, -4],\n [3, -1, 4, 2],\n [-2, -2, -4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 4, -1, 0],\n [4, -3, -2, 0],\n [-1, -2, -3, -2],\n [0, 0, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1773", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 0, -2, 0],\n [0, -4, -4, -2],\n [-2, -4, -4, 0],\n [0, -2, 0, -3]], determine the value at position (3, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "840", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -2, 1, 0],\n [-2, -3, -2, 3],\n [1, -2, -4, 2],\n [0, 3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6979", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, -1, 1],\n [-3, 2, -2, -2],\n [3, -4, 1, 0],\n [1, -4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "687", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, 4, -2],\n [1, 4, 4, -3],\n [4, 4, 0, 0],\n [-2, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11361", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[-1, -1, 0, -2],\n [-1, 3, 0, -2],\n [0, 0, -1, 0],\n [-2, -2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-314", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 4) of the result:\nA =\n[[2, -4, 2, 3],\n [-2, -3, -1, 1],\n [-4, -4, 0, 4],\n [1, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, -3, 2],\n [0, 3, 2, 2],\n [-3, 2, -2, 1],\n [2, 2, 1, -4]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -3, -1, 4],\n [-2, -2, 3, 0],\n [-4, -2, -4, 3],\n [-3, 4, 3, 4]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-995", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 0, -3],\n [0, 3, -2, 4],\n [0, 3, -2, -4],\n [2, 3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1175", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -1, 4],\n [-2, -2, 0, -2],\n [-1, 0, -3, 0],\n [4, -2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 4th power of the matrix:\n[[2, -3, 4, 3],\n [0, -2, 4, 1],\n [-2, 3, 0, 0],\n [-2, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[4, -2, 3, -1],\n [2, -1, 1, 1],\n [2, 2, -3, 3],\n [-3, -3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, -4, -2, 1],\n [1, 4, 2, -1],\n [4, -2, 2, -1],\n [3, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2539", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, -2, -4],\n [-4, 4, -1, 0],\n [-2, -1, 1, 0],\n [-4, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13285", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-4, 2, -1, 2],\n [2, -1, 1, -1],\n [-1, 1, 4, -2],\n [2, -1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 4th power of the matrix:\n[[-2, 0, 1, 3],\n [0, 0, -2, 0],\n [-1, -3, -3, -1],\n [0, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[4, -2, 4, 0],\n [-2, 1, 1, -2],\n [4, 1, -3, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 4, -4, -2],\n [4, 3, 1, 0],\n [-4, 1, 0, 0],\n [-2, 0, 0, 4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, -1, -2, -4],\n [3, -1, -1, -1],\n [-3, -4, -4, 1],\n [0, -3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2261", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, -2, 0],\n [3, 4, 1, 0],\n [-1, -2, -4, 1],\n [-2, -1, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -3, -3, 2],\n [-3, -2, -4, 0],\n [-3, -4, -3, 1],\n [2, 0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14010", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, 0],\n [2, 0, 0, 3],\n [0, 0, -1, 0],\n [0, 3, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 0, 2],\n [2, -3, 0, 2],\n [0, 0, 1, 0],\n [2, 2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "899", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -3, -1, 0],\n [3, 2, 1, 2],\n [-3, 3, 4, 1],\n [-1, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5324", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-2, 2, 2, 0],\n [2, 2, 0, 0],\n [2, 0, 0, 0],\n [0, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -3, 0, 0],\n [-3, -3, -2, -2],\n [0, -2, -3, 2],\n [0, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1135", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[4, -4, 1, -1],\n [-4, 1, 4, 0],\n [1, 4, 1, -2],\n [-1, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1557", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -4, 0],\n [3, 1, 1, 2],\n [-4, 1, -1, 2],\n [0, 2, 2, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-2, -1, -2, -3],\n [-1, 1, -1, 1],\n [-2, -1, 4, 0],\n [-3, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0, 1],\n [-1, -3, 0, 2],\n [0, 0, 4, 0],\n [1, 2, 0, 3]], determine the value at position (1, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) of the matrix A^4 where A is:\n[[4, 3, 3, 2],\n [3, 2, -4, 2],\n [-1, -3, -1, 4],\n [-1, -4, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-727", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-3, -1, 2, 0],\n [-1, -3, -3, -2],\n [2, -3, 2, 2],\n [0, -2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[0, 2, 0, 0],\n [2, 4, 0, 0],\n [0, 0, 3, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[-4, -1, 3, -4],\n [-3, 1, -2, -3],\n [-1, 1, -2, 4],\n [-2, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "473", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[4, -4, 2, -2],\n [-4, 0, 0, -2],\n [2, 0, 2, 2],\n [-2, -2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[0, -2, 1, 2],\n [-2, 2, 0, 4],\n [1, 0, -2, 2],\n [2, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3015", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, -2, -4],\n [2, 2, -1, 0],\n [-2, -1, -1, -2],\n [-4, 0, -2, -3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, -2, -3],\n [-1, 2, -1, 0],\n [-2, -1, -4, 4],\n [-3, 0, 4, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1006", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 3, 4],\n [-2, 1, 3, -4],\n [1, -1, -4, 1],\n [4, -3, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-4, -3, -1, -2],\n [-1, -3, -3, -2],\n [0, -4, -4, 2],\n [-2, 0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, 1, 1],\n [0, -4, -1, 2],\n [1, -1, 4, 2],\n [1, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "884", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 4, 0, 1],\n [1, -4, 1, -4],\n [4, -4, 2, 0],\n [2, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-491", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 4) of the result:\nA =\n[[-1, 1, 2, 0],\n [1, -3, 2, -2],\n [2, 2, 2, -1],\n [0, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[2, 1, -2, 1],\n [1, 2, 1, 0],\n [-2, 1, 3, 3],\n [1, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-1, 0, -2, 4],\n [-1, 1, 2, 1],\n [-1, 0, 0, 3],\n [0, 0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[3, 3, 0, -2],\n [3, 1, -2, -1],\n [0, -2, -4, -2],\n [-2, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5546", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, 0, -4],\n [0, -1, 0, 0],\n [1, -4, -1, 4],\n [1, 4, -3, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[3, 1, -2, -3],\n [1, -2, -2, 0],\n [-2, -2, -4, 0],\n [-3, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 1, 0],\n [1, 1, 0, 0],\n [1, 0, -1, -4],\n [0, 0, -4, 3]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -4, -2, -2],\n [2, 0, -1, 1],\n [2, 3, -1, 1],\n [2, 2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "454", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0, 0],\n [-2, -3, 2, 0],\n [0, 2, 4, 0],\n [0, 0, 0, 1]], determine the value at position (4, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 4, 3, 1],\n [4, -3, 1, 2],\n [3, 1, -1, 1],\n [1, 2, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7635", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[0, -1, 2, 2],\n [-1, 0, 1, 3],\n [2, 1, 4, 2],\n [2, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-2, -3, 0, 3],\n [3, 0, -1, 0],\n [-2, -1, 2, -2],\n [1, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 2, 3],\n [2, 3, 3, -4],\n [-1, -3, 1, 0],\n [-1, -3, 0, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "594", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, -2, 3],\n [-4, 2, 3, -2],\n [-2, 3, -4, -2],\n [3, -2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30627", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 4th power of the matrix:\n[[4, -1, 0, -4],\n [-4, 1, 3, -4],\n [0, -4, 3, -1],\n [-4, -2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, 4, -3],\n [2, 0, -1, -3],\n [2, -4, -4, 1],\n [-2, 2, 4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1273", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -2, -2, 0],\n [0, 4, 1, 1],\n [0, -3, -2, 4],\n [2, -2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 4, -3],\n [-2, -4, -4, 3],\n [-3, 0, 4, -1],\n [0, -4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-276", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, -2, 0, -3],\n [3, 1, -2, -2],\n [-1, -1, 1, -3],\n [1, 1, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1185", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 0, 1],\n [-2, 0, 0, -3],\n [0, 0, 3, 0],\n [1, -3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -3, 0],\n [2, -1, 0, 2],\n [-3, 0, -1, 2],\n [0, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1818", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, -2, 1],\n [3, 0, -4, 4],\n [-2, 1, 3, 3],\n [3, 2, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4794", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, -1, 4, 3],\n [3, -3, -1, 4],\n [-3, 0, -3, 3],\n [3, 3, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8842", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2, 2],\n [0, 3, -2, 2],\n [-2, -2, 0, 1],\n [2, 2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "604", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, -2, 4, 3],\n [1, -1, -1, 0],\n [3, -2, 1, 1],\n [2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 0, -2, 0],\n [0, 0, 2, 2],\n [-2, 2, 0, 2],\n [0, 2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0, -1],\n [1, 0, -4, -2],\n [-1, 3, -2, -3],\n [-1, 1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 0, 1],\n [0, 4, 3, 2],\n [0, 3, 3, -1],\n [1, 2, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6039", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -2, 0, -2],\n [-2, -3, -2, 2],\n [0, -2, 1, -2],\n [-2, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "800", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -1, -1],\n [-2, -1, -1, -3],\n [3, -2, 2, -3],\n [4, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 2, 2],\n [0, 2, 0, 0],\n [2, 0, 3, 1],\n [2, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, 0, 0],\n [1, -4, -2, -2],\n [0, -2, -4, -2],\n [0, -2, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6906", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -4, 4],\n [-2, 1, 2, -2],\n [-4, 2, -1, 0],\n [4, -2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, -4, 4],\n [1, 3, -4, 1],\n [0, 2, 0, -4],\n [2, 2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3781", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 2, 2],\n [-2, -4, -1, 0],\n [2, -1, 1, -2],\n [2, 0, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3886", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 2) of the result:\nA =\n[[-2, -3, 2, 2],\n [-3, 1, 3, 0],\n [2, 3, 3, -2],\n [2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -1, 1, 1],\n [-1, -2, 2, 0],\n [1, 2, 3, -2],\n [1, 0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, -2, -1, -4],\n [-2, -2, 0, 0],\n [-1, 0, 1, 0],\n [-4, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13853", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, 2, 1, 0],\n [2, -1, 0, -2],\n [1, 0, 1, 2],\n [0, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, -2, -4],\n [1, 0, 0, 3],\n [-2, 0, -1, -3],\n [-4, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 2, 1, 2],\n [2, 3, 0, 2],\n [1, 0, 1, 2],\n [2, 2, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6486", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0, 1],\n [0, 0, 2, -1],\n [0, 2, -3, 0],\n [1, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^4 where A is:\n[[4, 0, 2, 2],\n [3, 4, -4, -2],\n [4, 1, -2, 3],\n [-1, 3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -4, 2],\n [-3, -3, -4, -2],\n [-2, -4, -4, 3],\n [2, 0, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26220", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[4, -3, 3, -2],\n [3, 3, 2, 3],\n [-3, 4, -4, -3],\n [3, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 4, 4, 1],\n [1, -4, 1, 4],\n [2, 2, 2, -4],\n [-1, -2, -4, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 2, -2, 2],\n [2, -4, -3, 0],\n [-2, -3, 2, -3],\n [2, 0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8806", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, 2, 3],\n [0, -1, -4, 4],\n [0, -4, -1, 4],\n [4, 2, -2, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4065", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[0, -3, -4, 2],\n [-3, 4, 0, 0],\n [-4, 0, -4, -1],\n [2, 0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8051", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -4, 3],\n [0, 4, 4, 1],\n [1, -4, 4, -2],\n [1, 0, 4, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1108", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[3, -4, -1, 3],\n [-4, 2, 3, 2],\n [-1, 2, 0, -4],\n [1, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-363", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, 1, 0, -2],\n [1, 0, 1, 0],\n [0, 1, -1, 2],\n [-2, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "517", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 2, 0],\n [0, -1, 4, -2],\n [2, 4, 4, -2],\n [0, -2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "527", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-1, -1, 1, 0],\n [1, -2, -2, 1],\n [-3, -1, -2, -2],\n [-3, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 0, -2],\n [2, -2, 0, 0],\n [0, 0, -3, 0],\n [-2, 0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "254", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -3, -2, 4],\n [2, -3, -2, 3],\n [-4, -1, 2, 4],\n [3, 4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -4, -4, 4],\n [-3, 4, -3, -3],\n [3, 1, 0, 3],\n [2, -4, 3, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4531", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 4, -2, 1],\n [4, -4, -2, -2],\n [-2, -2, -1, 2],\n [1, -2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 4, 0, 0],\n [4, 1, 0, -3],\n [0, 0, 2, 2],\n [0, -3, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3912", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[1, -3, 4, 3],\n [-2, 3, 1, 3],\n [-2, -3, 4, 2],\n [-4, 1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, -4, -3],\n [-3, 4, 1, 4],\n [1, -2, 2, -3],\n [-3, -1, -4, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4918", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -1, 0],\n [0, -2, 0, 2],\n [-1, 0, 3, 1],\n [0, 2, 1, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0, -2],\n [-2, -2, -2, 3],\n [0, -2, 4, 2],\n [-2, 3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1526", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[-1, 0, 2, 2],\n [4, -2, 0, 2],\n [-4, 3, -4, 1],\n [0, 0, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, 4, 0, -3],\n [0, 0, 2, 2],\n [0, -3, 2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "557", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, 4, 0, -2],\n [4, 3, 2, -2],\n [0, 2, 4, 0],\n [-2, -2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "354", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -2, 2],\n [-1, 1, -3, 1],\n [4, 3, 0, -4],\n [3, 4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "726", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, -2, 1],\n [1, 1, 3, 0],\n [-2, 3, 3, 0],\n [1, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "459", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 3, -1, -2],\n [3, 2, 1, -4],\n [2, 4, 2, 1],\n [-1, 3, -1, 3]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-675", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 1) of the result:\nA =\n[[-4, -1, -2, 2],\n [-1, -2, 0, -4],\n [-2, 0, 3, 0],\n [2, -4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "733", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-2, -3, -4, -2],\n [3, -1, -1, -1],\n [1, 2, -4, -4],\n [-4, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-3, 0, 2, 3],\n [2, 0, -4, 3],\n [2, 1, -1, 4],\n [-1, 3, -4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3293", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 0, -3, 4],\n [2, 0, -2, 2],\n [3, -1, -3, -1],\n [0, -3, 4, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-423", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -4, 2, 0],\n [-4, -3, 0, -2],\n [2, 0, 2, -3],\n [0, -2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1277", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 1, 2, 4],\n [1, -4, 1, -2],\n [2, 4, -2, -1],\n [-1, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3536", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 0, 1, 4],\n [0, 3, 3, -1],\n [1, 0, 2, -2],\n [0, 1, -3, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[0, -2, 1, 0],\n [-2, 2, 1, 2],\n [1, 1, -2, -2],\n [0, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 3) of the result:\nA =\n[[0, 0, 0, -1],\n [3, 0, 3, 4],\n [0, 3, -4, -2],\n [0, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 4) of the result:\nA =\n[[1, -2, -3, 1],\n [-2, -1, -3, 0],\n [-3, -3, 0, 1],\n [1, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, -3, 2, 4],\n [1, 1, -3, 4],\n [4, 0, 0, 2],\n [0, -4, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "771", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 2],\n [0, -2, 0, 4],\n [0, 0, -1, 2],\n [2, 4, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "555", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 2, -4],\n [-4, 1, 3, -1],\n [0, -1, -4, 3],\n [3, -3, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, 1, 4, 0],\n [-4, 0, -3, -4],\n [0, -1, 4, 4],\n [1, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7502", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[0, -3, -2, -4],\n [-3, -3, 0, -2],\n [-2, 0, 3, 2],\n [-4, -2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[4, 2, 0, 2],\n [2, -4, 0, -1],\n [0, 0, -1, 4],\n [2, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, 0, -3, 0],\n [0, 4, 0, 3],\n [-3, 0, 2, 0],\n [0, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4060", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, 2, -1, 4],\n [2, 4, 4, 3],\n [-2, -2, -1, -3],\n [0, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[3, 0, -1, -2],\n [0, -4, -2, 0],\n [-1, -2, -1, -2],\n [-2, 0, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4872", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 1, -4, 3],\n [0, -2, 0, 0],\n [2, 3, -1, 2],\n [-2, 1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1228", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, 3, 2, 0],\n [0, 2, -4, -2],\n [0, 0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, 4, -3],\n [4, -3, -2, 3],\n [4, 2, -1, 2],\n [-3, -2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "606", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -4, -4],\n [4, 1, -1, 0],\n [1, 4, -2, -2],\n [3, 1, 4, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[-2, 0, 0, 2],\n [0, 2, 2, -2],\n [0, 2, -1, 0],\n [2, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[0, -1, 4, -4],\n [2, -4, 0, -4],\n [-3, -4, 4, -2],\n [1, 2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 3, -4, 2],\n [3, 2, 4, 3],\n [3, 1, 0, 0],\n [-3, 2, 1, -4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2153", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -3, -1],\n [4, 2, -1, -1],\n [-4, 2, -4, 3],\n [-1, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1216", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 1, 0, 0],\n [1, 2, 1, 0],\n [0, 1, -2, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 2, 2],\n [0, -4, 1, -3],\n [2, 1, -2, 2],\n [2, -3, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7428", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, -1, 4],\n [2, -3, 2, -1],\n [3, 4, 1, 1],\n [4, 1, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, -2, -2],\n [2, -1, 2, -2],\n [-2, 2, -4, -1],\n [-2, -2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "800", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -2, 2],\n [0, -2, 0, 0],\n [-2, 0, -3, 0],\n [2, 0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-2, 2, -1, -1],\n [2, 2, 0, 2],\n [-1, 0, 3, -2],\n [-1, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "462", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-4, 3, -3, -2],\n [0, 2, 1, -4],\n [2, 4, 1, -3],\n [-3, -4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -4, 2, -2],\n [-4, 4, 0, -3],\n [2, 0, 0, 2],\n [-2, -3, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-459", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -2, -4],\n [-3, 4, 0, 2],\n [-2, -4, 0, 0],\n [-2, 0, 1, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 4, 0],\n [0, -3, 0, 0],\n [4, 0, -4, -2],\n [0, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, 0, 0],\n [-1, -3, -3, 0],\n [0, -3, 3, 0],\n [0, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 4, 2, 1],\n [4, 1, -3, -4],\n [1, 4, -1, 3],\n [-2, -2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, -3, 2, 2],\n [-3, 2, 0, -4],\n [2, 0, 3, 0],\n [2, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-3, -2, 4, 1],\n [-2, 2, -2, -2],\n [4, -2, 4, -4],\n [1, -2, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -4, -4, -2],\n [-4, 3, 0, 3],\n [-4, 0, -2, -2],\n [-2, 3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1553", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 4, 3],\n [-2, 0, 2, 4],\n [-1, 1, 0, 1],\n [0, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -4, 2, 3],\n [3, -1, 0, 4],\n [2, -2, -4, -4],\n [0, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5096", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -4, -2, 2],\n [-2, -4, -2, 0],\n [-4, 2, 4, -2],\n [-1, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1392", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 2, 0],\n [0, -2, 2, -3],\n [2, 2, -2, 2],\n [0, -3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1301", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 0, 3],\n [-1, 4, 4, -1],\n [2, 3, 0, 2],\n [1, 2, 0, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 1, -2],\n [2, -2, -2, 0],\n [1, -2, -2, 0],\n [-2, 0, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "517", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, -1, -1, 2],\n [-1, 2, 0, -1],\n [-1, 0, -3, 1],\n [2, -1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1043", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 2, 2, 0],\n [1, 0, 0, 0],\n [-1, 3, 4, 1],\n [-1, 0, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1012", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, 2, -4],\n [-2, 1, -3, 3],\n [1, 0, 3, -1],\n [-1, -1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, -2, -1],\n [1, -3, 2, 1],\n [-2, 2, 1, 1],\n [-1, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 3, 1],\n [-2, -3, 0, 1],\n [3, 0, 1, 3],\n [1, 1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, 4, 3],\n [3, -4, -3, 4],\n [1, -2, 1, 2],\n [2, -2, -2, -4]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5766", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[4, 3, -2, 3],\n [1, -4, 2, -3],\n [-4, -1, -4, 4],\n [4, 0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1839", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -4, 2, -2],\n [0, -1, -3, 3],\n [-1, 0, 3, -4],\n [-2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 4, 2],\n [0, 1, -3, 3],\n [0, -4, -1, 2],\n [-4, 2, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "746", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[1, -1, 3, 0],\n [-1, -3, 1, 2],\n [3, 1, -3, 0],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 0, 2],\n [-2, -3, -2, 1],\n [0, -2, 3, -2],\n [2, 1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, -2],\n [3, -3, -4, 0],\n [-3, -3, 3, -4],\n [-4, 1, 2, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -3, 3],\n [-2, 0, 2, 2],\n [-3, 2, -3, -3],\n [3, 2, -3, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 2) of the result:\nA =\n[[1, -1, -2, 0],\n [-2, 2, 3, 0],\n [4, -4, -4, -2],\n [-3, -4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, -3, 4, -4],\n [0, 2, 3, -2],\n [-2, 4, 1, 2],\n [-3, 4, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "842", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -4, -3, -1],\n [2, -1, 0, 4],\n [-1, -1, 4, 3],\n [-2, -2, 1, -4]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 2, -1, 2],\n [2, 3, -2, -3],\n [-1, -2, -1, -4],\n [2, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1772", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, 0, -1, 0],\n [0, 0, -4, 0],\n [-1, -4, 4, -1],\n [0, 0, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6348", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 0, 0],\n [-3, -1, -1, 0],\n [0, -1, -3, 1],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1675", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -1, -4, -2],\n [-1, 0, -2, -2],\n [-4, -2, -4, 2],\n [-2, -2, 2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, 0, 4, 3],\n [-2, -1, -3, 0],\n [1, 1, 4, 4],\n [1, 2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "934", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0, 4],\n [0, 2, -3, -1],\n [0, -3, 0, 2],\n [4, -1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "633", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 2, 0],\n [-2, 2, 0, -2],\n [2, 0, -1, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 4, -4],\n [-4, -3, 1, 4],\n [-4, -4, -4, 1],\n [0, -4, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4985", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 3, -3],\n [-4, -4, -3, 4],\n [-3, 1, 4, 0],\n [3, 3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1066", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, 2, 2],\n [-3, 2, 4, 1],\n [2, 4, 4, 0],\n [2, 1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "816", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-1, 1, -2, 1],\n [1, -3, -1, -4],\n [4, -1, 0, -2],\n [4, -1, 3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 0, 0, 0],\n [0, -2, 0, 0],\n [0, 0, 1, 0],\n [0, 0, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 3, 4],\n [-3, 0, -2, 1],\n [-2, -1, -3, 4],\n [0, -4, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1085", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, -4, 1, 2],\n [-4, 2, -2, 0],\n [1, -2, -4, 0],\n [2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[1, -1, 2, 3],\n [2, 3, 2, -2],\n [3, 0, -2, -1],\n [0, 0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -4, -2, -3],\n [0, 0, 0, 0],\n [-2, -3, 3, -3],\n [4, 4, -4, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -4, 3],\n [-3, 2, 3, 2],\n [0, -1, 3, 1],\n [-3, -1, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 2, 1, -1],\n [2, -4, -2, 1],\n [1, -2, 4, 0],\n [-1, 1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, 4, 4],\n [2, -4, 0, 1],\n [4, -4, 3, -2],\n [4, 2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -4, -2],\n [-3, 2, 2, -4],\n [-2, -2, 4, 1],\n [2, -3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1427", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[3, -3, 1, -1],\n [3, 3, 1, 4],\n [3, -3, -4, -3],\n [-2, 1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 3, -4, 1],\n [-1, 1, -4, -4],\n [-1, 4, 1, 0],\n [1, 4, -4, 4]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-305", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[3, 2, 2, -3],\n [-4, 2, -2, 1],\n [2, 3, -1, -2],\n [0, -2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[-1, -3, 1, -1],\n [0, 4, -4, -4],\n [2, 3, 3, 3],\n [3, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-255", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 0, 0],\n [-1, 0, -2, 3],\n [1, 4, 4, -1],\n [-1, 0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 2, 3],\n [0, 3, 4, 0],\n [-2, 2, 1, 2],\n [-1, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2862", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -3, 0, -2],\n [-3, -4, 2, 2],\n [0, 2, -2, 0],\n [-2, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 1, 0],\n [0, 4, -1, 1],\n [1, -1, 3, 0],\n [0, 1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "389", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 4, -3, 4],\n [3, 1, -1, 4],\n [2, 1, 4, -1],\n [-4, 2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1081", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, -4, -4],\n [1, 2, 4, -4],\n [0, 0, 1, -4],\n [-4, 1, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1433", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, -4, -2],\n [4, 0, 4, 2],\n [-3, 0, 4, -2],\n [-4, 3, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, -2, 0],\n [1, -1, 0, 0],\n [-2, 0, -1, 3],\n [0, 0, 3, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0, -1],\n [0, -3, 0, 1],\n [0, 0, 3, 0],\n [-1, 1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -3, 0],\n [-2, 4, 0, 0],\n [-3, 0, 2, 0],\n [0, 0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "562", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, -4, 1, 2],\n [1, 0, 0, 3],\n [2, -1, 2, -2],\n [-4, 3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3907", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, -2, 2, 2],\n [-2, 1, -3, 0],\n [2, -3, -3, -2],\n [2, 0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 3, 2, -1],\n [-4, 3, -2, -4],\n [0, 1, -3, -4],\n [2, -2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1064", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^4 where A is:\n[[4, 0, 0, 2],\n [0, -4, -1, 2],\n [0, -1, 1, 2],\n [2, 2, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[3, -1, 0, 1],\n [-4, 3, -2, 0],\n [3, 2, -1, 2],\n [1, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[-2, 0, -1, 0],\n [0, -4, 2, -2],\n [-1, 2, 1, 0],\n [0, -2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[4, 2, -1, -2],\n [0, 1, 4, -3],\n [4, 2, -2, 3],\n [3, 0, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "513", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-4, -3, 3, -4],\n [1, -4, 0, -2],\n [-4, -1, 2, -1],\n [-4, -3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1028", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2, 0],\n [0, 0, 2, 0],\n [2, 2, -1, 0],\n [0, 0, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 3) of the result:\nA =\n[[1, -2, -4, 1],\n [4, 3, -4, 2],\n [2, -3, -1, -4],\n [-4, 0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 0, -3],\n [2, 0, 3, -2],\n [3, 0, -4, 3],\n [1, -4, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "905", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 2, 3, 2],\n [2, 3, -2, -4],\n [4, 3, 1, -2],\n [1, 0, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 1, 0],\n [0, -1, -2, -4],\n [1, -2, 3, 0],\n [0, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "658", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, 2, 0],\n [-2, -2, -3, 4],\n [-1, -2, 3, -4],\n [2, -1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "595", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, 2, -2],\n [1, -2, -2, -4],\n [2, -2, -2, -1],\n [-2, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-468", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 0, 4, -2],\n [1, -4, -2, -1],\n [2, 2, 3, 2],\n [2, 0, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1306", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-2, 4, 1, -1],\n [-2, -4, 0, 4],\n [-4, 3, 0, 0],\n [0, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -1, 2, -2],\n [-2, 2, 3, 0],\n [2, -2, 2, 3],\n [3, 1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1436", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 3, 0, 1],\n [1, -2, -3, 3],\n [0, -3, 4, 3],\n [4, -3, -4, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-3, 0, -1, 0],\n [0, 4, 2, 0],\n [-1, 2, -4, -1],\n [0, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2064", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (1, 2) of the result:\nA =\n[[-1, -2, 0, 0],\n [-1, 1, -1, 0],\n [-4, 4, 1, 0],\n [-4, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-2, -2, -4, 0],\n [-2, 4, 2, 0],\n [-4, 2, 1, -4],\n [0, 0, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11254", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, -3, 3, 0],\n [-3, 2, -4, -4],\n [-2, 4, 4, 0],\n [-4, -3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 4) of the result:\nA =\n[[-3, 4, -3, 3],\n [3, 2, 1, -3],\n [0, 2, 3, -4],\n [3, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -2, 0, -2],\n [-2, 4, 0, 1],\n [0, 0, 3, -1],\n [-2, 1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[4, 3, -4, -4],\n [1, -4, -3, -1],\n [-3, 1, -4, -2],\n [1, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-1, 0, 0, 0],\n [0, -1, 0, -1],\n [0, 0, 2, 0],\n [0, -1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-4, 2, 0, 2],\n [2, 3, 2, 0],\n [0, 2, -4, 0],\n [2, 0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 1, 2, 3],\n [1, -2, 1, -1],\n [2, 1, 0, -2],\n [3, -1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9884", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^3 where A is:\n[[-1, -3, 3, -3],\n [0, 0, -2, -3],\n [3, 4, 3, -3],\n [-2, 0, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[3, 0, 2, -2],\n [0, 4, -2, -1],\n [2, -2, 4, -2],\n [-2, -1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1404", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[4, -2, 2, -2],\n [-2, -3, 0, -2],\n [2, 0, -2, -2],\n [-2, -2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4649", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 4th power of the matrix:\n[[-3, -4, 1, 0],\n [1, 1, -1, 3],\n [0, -3, -2, -2],\n [-4, -1, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, -1, -1, 0],\n [-1, -1, -2, -1],\n [-1, -2, -1, 0],\n [0, -1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, -1, -4],\n [3, -4, -2, 0],\n [3, 1, -3, -3],\n [2, 2, 2, 3]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[1, 4, -2, 0],\n [3, -4, 2, -4],\n [2, -4, 1, -2],\n [0, 2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -4, 3, 1],\n [1, 3, -3, -3],\n [0, -1, 0, -2],\n [-4, 0, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 4, -3, 2],\n [-3, 4, -1, -1],\n [3, 3, 0, -2],\n [4, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^4 where A is:\n[[-1, 4, 2, -4],\n [1, -2, -1, 3],\n [-1, 3, -1, -4],\n [-2, 3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16740", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[4, -3, 1, 3],\n [2, -2, 2, 0],\n [1, -3, -1, -3],\n [1, 1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 1, 0],\n [0, -4, -2, 0],\n [1, -2, 1, 0],\n [0, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-190", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 1, 4, -1],\n [3, 2, 4, -1],\n [-3, -3, -1, 2],\n [0, -1, -3, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "831", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, 2, 0, -2],\n [2, 3, 0, -2],\n [0, 0, -1, 1],\n [-2, -2, 1, -4]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -2, -1],\n [2, -1, -3, -1],\n [-2, 4, -3, 4],\n [1, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 1, 0],\n [2, 2, 2, 4],\n [1, 2, 2, 1],\n [0, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8480", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -2, -4],\n [-2, -4, 0, -3],\n [0, -1, -2, -3],\n [2, -2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-398", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0, 0],\n [0, 1, -2, 2],\n [0, -2, -3, 3],\n [0, 2, 3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 2, 2],\n [3, 2, 3, -2],\n [3, 0, -2, 0],\n [4, -2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the sum of all entries of the result:\nA =\n[[2, -1, 2, -4],\n [-3, 0, -2, -3],\n [-2, 3, -1, 4],\n [3, -2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "592", "dataset": "MATH"}