{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 2, 1],\n [2, -2, 0],\n [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": "321", "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],\n [3, -2, -2],\n [-2, -3, 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 value at position (1, 1) of the result:\nA =\n[[-3, -2, 0],\n [0, 1, 3],\n [0, 0, 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[[-3, 1, -1],\n [2, -1, -1],\n [-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": "265", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 1, 1],\n [0, -1, -3],\n [1, -3, 3]]\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^4 where A is:\n[[2, 2, 2],\n [2, 2, -2],\n [2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "576", "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],\n [-1, -1, 0],\n [3, 0, -3]]?\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[[-1, -2, 1],\n [-2, 3, 2],\n [1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "726", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[2, -2, -1],\n [0, -2, -1],\n [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^3 where A is:\n[[-3, 0, -1],\n [0, -1, -1],\n [0, 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^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 1],\n [0, -1, 0],\n [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^3 where A =\n[[-3, 0, 3],\n [-1, 3, 1],\n [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": "449", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-3, 2, 0],\n [2, -3, 3],\n [-2, 2, 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 absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -1],\n [1, 2, 2],\n [-1, 0, 0]]?\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, -3],\n [3, -2, -2],\n [3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "447", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, -2],\n [0, -1, 0],\n [0, 0, 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^4 and find the sum of all entries of the result:\nA =\n[[3, 1, 2],\n [0, 3, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "353", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-2, -3, -2],\n [0, 1, 3],\n [0, 0, 1]]?\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 2th power of the matrix:\n[[-3, 2, -3],\n [0, -1, -2],\n [0, 0, 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 (1, 2) of the 2th power of the matrix:\n[[-3, -1, 0],\n [-1, -1, 1],\n [0, 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^2 and find the value at position (2, 2) of the result:\nA =\n[[-2, 2, 0],\n [2, -3, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-2, -2, 0],\n [-2, -3, -2],\n [0, -2, 1]]\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[[-3, -2, -2],\n [-2, -2, -2],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4106", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -1],\n [2, -1, 1],\n [3, 1, 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 (1, 3) of the matrix A^4 where A is:\n[[-1, 0, 0],\n [0, 1, 2],\n [0, 2, 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 2th power of the matrix:\n[[0, -3, 1],\n [-2, -1, 0],\n [-3, -2, -2]]\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[[-2, 0, 0],\n [2, 2, -1],\n [0, 0, -1]], 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": "For the matrix power A^2 where A =\n[[-2, 1, -3],\n [0, 0, 2],\n [0, 0, 0]], 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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 0],\n [0, -3, 3],\n [0, 3, 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[[-3, -1, -1],\n [1, 3, 3],\n [1, 1, 3]], determine the value at position (3, 2).\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[[3, 2, 3],\n [0, 1, -3],\n [0, 0, -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[[1, 3, 1],\n [-3, -1, 3],\n [-1, 3, 1]], 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": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-2, 0, 0],\n [0, -1, 0],\n [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 sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0],\n [-2, 0, -2],\n [0, -2, -2]]\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 sum of all entries of the result:\nA =\n[[2, -3, 0],\n [-3, 2, 0],\n [0, 0, 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^2 where A =\n[[-3, -3, 1],\n [0, 3, -1],\n [0, 0, -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": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[3, 2, 0],\n [-3, -1, -2],\n [0, -1, 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 absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, -1],\n [0, -3, 2],\n [0, 0, 0]]?\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, 1) of the 2th power of the matrix:\n[[2, 3, -3],\n [0, 2, 1],\n [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 absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 0],\n [-2, 1, -2],\n [0, -2, -3]]?\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 4th power of the matrix:\n[[2, 2, 0],\n [2, 2, 1],\n [0, 1, 1]]\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 sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0],\n [-2, 2, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[3, 0, -2],\n [0, -1, 2],\n [-2, 2, -1]]?\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, 2) of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, -3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "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],\n [0, -3, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -1, 2],\n [-1, -1, 1],\n [2, 1, 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[[1, -3, 3],\n [0, 0, 3],\n [0, 0, 0]], 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": "For the matrix power A^3 where A =\n[[2, -3, -2],\n [0, 3, 1],\n [0, 0, 3]], 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 value at position (2, 2) of the 2th power of the matrix:\n[[3, -2, -2],\n [-2, 0, 0],\n [-2, 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 all entries of the 4th power of the matrix:\n[[2, -2, 3],\n [0, 3, 1],\n [-1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-690", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -2],\n [0, 1, -3],\n [-2, -3, -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^2 and find the sum of all entries of the result:\nA =\n[[2, 0, -2],\n [0, 0, 1],\n [-2, 1, -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[[-3, 0, 0],\n [0, 2, 0],\n [0, 0, 0]], 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": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[-1, 3, 0],\n [3, 0, 0],\n [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 (1, 2) of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, -2, -2],\n [0, -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^4 where A =\n[[-3, -3, 3],\n [-3, 0, 1],\n [-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": "801", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -1, 2],\n [-1, 0, -2],\n [2, -2, -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^3 where A is:\n[[-2, -2, -1],\n [-2, 2, 0],\n [-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^4 where A =\n[[-2, 1, -2],\n [0, 2, 0],\n [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": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -2, 3],\n [0, 0, -3],\n [0, 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^2 where A =\n[[2, 1, -2],\n [1, -2, 0],\n [1, -3, 1]], 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 absolute values of all entries of the matrix A^4 where A is:\n[[0, 2, 3],\n [2, -2, 0],\n [3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1085", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, 0, 1],\n [0, 3, 2],\n [1, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 2],\n [2, 0, 2],\n [2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "480", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-2, -1, 2],\n [0, 2, 1],\n [3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, -2],\n [2, 3, 1],\n [-2, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -3],\n [2, 1, -3],\n [-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": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, -1, 2],\n [2, 3, -1],\n [3, -1, -2]]\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 (3, 3) of the matrix A^3 where A is:\n[[-2, 2, 0],\n [0, 3, 2],\n [0, 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[[0, 2, -1],\n [0, -1, 3],\n [2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "486", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-1, 2, -1],\n [2, 2, 0],\n [-1, 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^3 where A =\n[[-3, -1, -2],\n [-1, 1, 1],\n [1, 1, -2]], determine the value at position (3, 2).\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, 1) of the matrix A^4 where A is:\n[[1, -2, -1],\n [-3, 1, -2],\n [-3, 0, 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^4 and find the sum of all entries of the result:\nA =\n[[3, 2, 1],\n [0, -1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[3, -2, -1],\n [0, 0, 3],\n [0, 0, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 2],\n [0, -3, 1],\n [0, 0, 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^3 and find the value at position (3, 1) of the result:\nA =\n[[0, -3, -2],\n [1, -2, -1],\n [2, -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[[0, 0, -2],\n [0, 3, -1],\n [-2, -1, 3]]\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, -2, 3],\n [1, 3, -2],\n [-1, -1, -1]]?\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, -1, 2],\n [-1, 3, 0],\n [2, 0, 1]], determine the value at position (3, 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^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -2],\n [0, -1, -1],\n [0, 0, 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 (1, 1) of the matrix A^4 where A is:\n[[3, 2, 1],\n [0, -3, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[1, -3, 0],\n [-3, 3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-336", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-3, -2, -1],\n [0, 2, -3],\n [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 absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, 1],\n [0, -2, -1],\n [0, 0, -1]]?\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 3th power of the matrix:\n[[-1, -2, -3],\n [-3, -3, 1],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "287", "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],\n [1, 3, -2],\n [2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2221", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, 0],\n [3, 1, -1],\n [2, -2, 3]], determine the value at position (1, 3).\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 (3, 1) of the result:\nA =\n[[-3, -2, 0],\n [0, 1, -1],\n [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 absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -3],\n [3, 1, 0],\n [0, 1, -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 (1, 1) of the 2th power of the matrix:\n[[3, 2, 2],\n [2, 1, 0],\n [2, 0, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -3],\n [0, -3, 1],\n [0, 0, 0]]\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^3 where A is:\n[[-1, 0, -2],\n [0, 0, 0],\n [-2, 0, -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 4th power of the matrix:\n[[-2, 0, 0],\n [0, 1, 0],\n [0, 0, 1]]\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, -3, 0],\n [0, -3, 0],\n [0, 0, 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 (3, 1) of the 4th power of the matrix:\n[[2, 2, 3],\n [0, -3, 1],\n [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^4 and find the sum of all entries of the result:\nA =\n[[-3, 0, 3],\n [2, 0, 2],\n [2, -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^2 and find the sum of all entries of the result:\nA =\n[[2, -1, 1],\n [0, -3, 3],\n [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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -2],\n [1, -1, 0],\n [-1, -1, 0]]\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 (1, 1) of the matrix A^3 where A is:\n[[3, 1, 0],\n [1, -1, 0],\n [0, 0, 0]]?\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, 3) of the 2th power of the matrix:\n[[2, 1, -3],\n [0, 3, 3],\n [0, 0, -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, 0, 0],\n [0, 2, 0],\n [0, 0, 0]], 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 absolute values of all entries of the 4th power of the matrix:\n[[-3, 2, 0],\n [0, -2, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "358", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 0],\n [0, -2, -1],\n [0, 0, -3]], determine the sum of all entries.\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 2th power of the matrix:\n[[2, 1, -2],\n [0, 2, -2],\n [0, 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^3 where A is:\n[[3, 3, 3],\n [0, -3, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -2, 2],\n [0, 2, 2],\n [0, 0, -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^2 where A is:\n[[-3, 0, 2],\n [-2, 3, 1],\n [-3, -2, 0]]?\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^2 where A is:\n[[3, 2, 2],\n [0, -2, -3],\n [-3, -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 absolute values of all entries of the matrix A^4 where A is:\n[[0, 1, 1],\n [-1, 3, -1],\n [2, 3, 2]]?\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^4 where A is:\n[[-1, 3, -3],\n [0, 2, 1],\n [0, 0, 0]]?\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, -1],\n [2, 3, -2],\n [-1, -2, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "533", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[1, -3, 3],\n [0, 3, -1],\n [0, 0, 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 2th power of the matrix:\n[[1, 1, 2],\n [1, 0, 0],\n [2, 0, -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 value at position (1, 3) of the result:\nA =\n[[3, -3, -3],\n [0, 2, -1],\n [0, 0, 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^3 where A =\n[[2, -3, 2],\n [0, -1, 0],\n [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": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -2, -1],\n [-2, 3, -1],\n [-1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "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],\n [1, -2, 3],\n [-1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1251", "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],\n [1, 1, 2],\n [-2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 3, -2],\n [-1, -1, -2],\n [1, -3, -1]]\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 sum of absolute values of all entries of the result:\nA =\n[[2, -1, 3],\n [0, -1, -3],\n [0, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[0, -3, -1],\n [0, 1, -1],\n [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[[0, 1, -1],\n [0, 2, 3],\n [0, 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 4th power of the matrix:\n[[2, 0, -2],\n [0, -2, 2],\n [-1, 2, -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[[2, 0, 2],\n [1, -3, -2],\n [-3, -2, 0]]?\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, 1, -3],\n [3, 3, -1],\n [0, 3, 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 4th power of the matrix:\n[[2, 2, 2],\n [0, 1, 0],\n [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 all entries of the 4th power of the matrix:\n[[1, 0, 2],\n [3, 0, -1],\n [-1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 3],\n [0, -2, 3],\n [0, 0, 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": "For the matrix power A^2 where A =\n[[-3, 1, 2],\n [-1, -3, 2],\n [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": "79", "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],\n [0, 0, 3],\n [0, 0, 3]]?\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[[1, -1, -1],\n [0, -2, -1],\n [0, 0, 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 (3, 3) of the 2th power of the matrix:\n[[0, 3, -1],\n [0, -2, 2],\n [-2, -2, -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^2 where A =\n[[1, 0, 2],\n [0, 2, 0],\n [2, 0, -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": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-3, -3, 0],\n [-2, -2, -2],\n [1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, 1, -1],\n [0, 3, -1],\n [0, 0, 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 all entries of the matrix A^3 where A is:\n[[1, 0, 0],\n [0, 0, 1],\n [0, 1, -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 4th power of the matrix:\n[[-3, -1, 2],\n [-1, 2, 2],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "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],\n [0, -1, -3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 2],\n [0, 0, 2],\n [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": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, -2],\n [2, -3, 1],\n [-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": "69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [-3, -1, -1],\n [2, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, 2, 0],\n [0, -3, -3],\n [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^2 where A =\n[[2, 2, -2],\n [2, 2, 0],\n [-2, 0, 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[[2, 0, 1],\n [-1, 3, 0],\n [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^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -1],\n [-3, -2, -3],\n [-1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1252", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 2, -1],\n [0, 3, -2],\n [0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -1, 3],\n [-1, 1, 0],\n [3, 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^2 where A =\n[[1, -2, -2],\n [0, 0, 0],\n [0, 0, 0]], 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -3, 2],\n [-1, 2, 3],\n [-1, 3, -1]]\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, 1, 0],\n [-3, -2, 0],\n [2, 1, 3]]\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^2 where A is:\n[[0, 3, 1],\n [0, 0, 1],\n [0, 0, 2]]?\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, -1, 0],\n [-1, 3, -2],\n [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": "565", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -1, 0],\n [-1, 3, -1],\n [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": "214", "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],\n [0, -1, -1],\n [0, 0, 0]]\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, 3) of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, 0, -3],\n [0, 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 all entries of the 2th power of the matrix:\n[[0, 2, 2],\n [2, 3, 1],\n [2, 1, 2]]\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 2th power of the matrix:\n[[-3, -2, 3],\n [0, 3, 3],\n [2, 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^2 and find the sum of all entries of the result:\nA =\n[[2, 1, 2],\n [2, 1, -1],\n [-3, -3, -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 3th power of the matrix:\n[[-3, -2, 3],\n [0, 3, -3],\n [0, 0, 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 (1, 1) of the matrix A^4 where A is:\n[[2, -1, 3],\n [2, 1, 2],\n [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^2 and find the value at position (1, 2) of the result:\nA =\n[[-1, 2, 2],\n [0, -2, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, -2, -2],\n [0, -2, -2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "336", "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],\n [0, 3, -1],\n [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[[0, 0, 2],\n [0, -3, 2],\n [2, 2, -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[[2, 1, 1],\n [1, 1, 2],\n [1, 2, 0]]?\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[[3, 2, 2],\n [0, 1, -3],\n [-1, -1, 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": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[1, 3, 1],\n [0, 1, 3],\n [0, 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^3 where A =\n[[0, 3, 1],\n [0, 0, 1],\n [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": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, 0, 2],\n [0, 3, 0],\n [2, 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[[0, 3, 0],\n [0, 3, 1],\n [0, 0, 3]], determine the value at position (3, 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[[-3, 0, -1],\n [0, -2, 2],\n [0, 0, -2]], 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": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -2],\n [0, 2, -2],\n [-2, -2, -2]]?\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 2th power of the matrix:\n[[0, 0, 0],\n [0, 2, -1],\n [0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 3],\n [3, 2, -1],\n [-2, 2, 2]]\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[[2, -2, 1],\n [-2, 0, 0],\n [1, 0, 1]]\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 2th power of the matrix:\n[[-2, -3, 2],\n [0, 0, -3],\n [-3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[3, -3, 0],\n [2, -3, -1],\n [1, 2, 0]]\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^2 where A is:\n[[-1, 2, 0],\n [2, -1, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, -1],\n [0, 0, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[0, -3, -1],\n [2, 0, -3],\n [0, 3, 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[[-2, -2, -2],\n [0, 2, 1],\n [0, 0, 3]], determine the value at position (1, 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 2th power of the matrix:\n[[-3, -1, -3],\n [0, -2, -1],\n [0, 0, 0]]\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[[0, -1, -3],\n [0, 0, -1],\n [-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": "166", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -1],\n [2, 3, 1],\n [-1, 3, 2]], 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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -2, 1],\n [0, 0, 0],\n [0, 0, -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^2 where A =\n[[1, 3, -3],\n [0, 2, -2],\n [0, 0, -1]], determine the value at position (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^3 where A =\n[[-1, 3, -3],\n [-1, -3, 3],\n [0, 0, -2]], 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 (3, 2) of the 4th power of the matrix:\n[[-2, 2, 0],\n [2, 3, -1],\n [0, -1, -1]]\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, 3) of the 4th power of the matrix:\n[[2, 1, -2],\n [1, 2, 0],\n [-2, 0, 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[[1, -1, -3],\n [-1, -2, -1],\n [3, -3, 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[[-1, 0, -3],\n [1, 1, -2],\n [-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 2th power of the matrix:\n[[0, 3, -3],\n [0, 3, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, -3, 0],\n [1, -1, 0],\n [-2, -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, -3],\n [3, 3, -3],\n [-2, -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 absolute values of all entries of the 4th power of the matrix:\n[[2, -1, -2],\n [0, 1, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, -3],\n [0, -1, 2],\n [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": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 0],\n [1, 3, 1],\n [3, 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": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[3, -1, 1],\n [-1, -1, -3],\n [3, -3, -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, 0],\n [2, -3, 1],\n [1, 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[[2, 0, 0],\n [0, -1, 2],\n [0, 2, 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^2 and find the value at position (3, 3) of the result:\nA =\n[[3, 0, 2],\n [0, -3, 0],\n [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^3 and find the value at position (1, 2) of the result:\nA =\n[[1, 2, -2],\n [2, -3, -1],\n [-2, -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 (1, 2) of the matrix A^4 where A is:\n[[-1, 0, -2],\n [0, 0, -1],\n [-2, -1, 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^2 where A is:\n[[2, -2, 2],\n [-2, 1, 0],\n [2, 0, 2]]?\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[[-3, 0, -2],\n [0, 3, 3],\n [-3, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[0, 2, 1],\n [2, -1, 0],\n [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 value at position (2, 3) of the matrix A^2 where A is:\n[[3, 1, -1],\n [1, 0, -2],\n [-1, -2, 1]]?\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, 3) of the 3th power of the matrix:\n[[-3, -1, 2],\n [-1, -3, -2],\n [2, -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[[-2, -2, 0],\n [-2, -2, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1584", "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],\n [2, -2, 2],\n [-2, 2, 2]]?\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[[3, -2, -3],\n [-3, 2, -1],\n [2, 3, 3]], determine the value at position (1, 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, 3, -2],\n [0, -2, 1],\n [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": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 1, 0],\n [0, 2, 1],\n [0, 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^4 where A is:\n[[3, 1, -1],\n [0, -1, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "233", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, -2],\n [0, 2, -1],\n [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": "27", "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],\n [0, -1, 3],\n [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[[0, 2, -3],\n [0, -1, 2],\n [0, 0, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-3, -1, -2],\n [0, 1, 3],\n [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 sum of all entries of the result:\nA =\n[[0, -2, 2],\n [-2, -3, -2],\n [2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1049", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 2, 0],\n [2, 2, 0],\n [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": "165", "dataset": "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],\n [-1, -2, 2],\n [0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^4 where A is:\n[[1, -3, 3],\n [-1, 3, 1],\n [-2, -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, 1) of the matrix A^3 where A is:\n[[0, -2, 0],\n [0, 3, -2],\n [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[[-2, -2, -1],\n [-2, -1, 0],\n [-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": "651", "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, -1],\n [0, -3, -3],\n [0, 0, -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 all entries of the matrix A^2 where A is:\n[[-1, 1, -2],\n [1, -2, 0],\n [-2, 0, -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^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, 1],\n [3, -3, -2],\n [1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5939", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -1],\n [0, -1, 1],\n [-1, 1, 0]], determine the value at position (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^4 where A =\n[[-2, 2, -3],\n [0, -3, -1],\n [0, 0, 1]], 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 value at position (1, 1) of the matrix A^2 where A is:\n[[1, 0, 2],\n [0, 2, -1],\n [2, -1, -2]]?\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[[0, -2, -2],\n [0, -2, -3],\n [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 2th power of the matrix:\n[[1, -1, 0],\n [-1, 3, 2],\n [0, 2, -1]]\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, -2],\n [0, 3, -1],\n [0, 0, -3]], determine the value at position (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, 3) of the matrix A^3 where A is:\n[[-3, 0, -2],\n [0, 3, 2],\n [-2, 2, 2]]?\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^2 where A is:\n[[2, 2, 0],\n [2, 3, -1],\n [0, -1, 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 3th power of the matrix:\n[[1, 2, 0],\n [2, 0, -1],\n [0, -1, 0]]\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 2th power of the matrix:\n[[0, -2, 3],\n [0, 1, 1],\n [0, 0, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -2],\n [2, -1, 0],\n [-2, 0, 3]]\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[[-1, -1, -1],\n [3, 3, 1],\n [-1, 0, 1]]?\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^2 where A is:\n[[-2, 0, 2],\n [0, -2, -2],\n [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[[2, 0, -1],\n [0, 2, 0],\n [-1, 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": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, 1, 2],\n [0, -3, 0],\n [0, 0, -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 all entries of the result:\nA =\n[[-2, 2, 3],\n [-2, 2, 3],\n [-3, -1, -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^4 and find the value at position (2, 2) of the result:\nA =\n[[3, -2, -2],\n [-2, -3, -1],\n [-2, -1, 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 4th power of the matrix:\n[[-3, -2, -2],\n [2, 2, 1],\n [2, -3, 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[[0, -2, 2],\n [-2, 2, 1],\n [2, 1, -1]], 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": "For the matrix power A^3 where A =\n[[3, 3, 1],\n [-2, -1, 3],\n [-3, 0, 1]], determine the value at position (1, 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^3 where A =\n[[2, 2, 2],\n [0, 2, 2],\n [0, 0, -1]], 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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 3],\n [0, 0, 0],\n [0, 0, 0]]\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, 0, -2],\n [3, 0, 2],\n [2, -2, 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^2 where A is:\n[[-3, 2, 0],\n [0, 1, -3],\n [0, 0, -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 3th power of the matrix:\n[[-3, -2, 0],\n [0, 1, 2],\n [0, 0, -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[[3, 0, 3],\n [0, -2, 1],\n [0, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[2, -2, 2],\n [2, 3, -2],\n [2, -1, 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 all entries of the matrix A^3 where A is:\n[[0, 1, 0],\n [1, -3, 1],\n [0, 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 absolute values of all entries of the matrix A^2 where A is:\n[[-3, -1, 3],\n [0, 3, -2],\n [0, 0, 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, 3, 1],\n [3, -3, 0],\n [1, 0, -1]], determine the sum 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^3 where A is:\n[[2, 0, 0],\n [0, -2, 0],\n [0, 0, -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[[3, 1, 3],\n [3, -3, 2],\n [-3, -1, 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 absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, 2],\n [0, 1, 0],\n [0, 0, 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^2 where A =\n[[3, -2, -2],\n [0, 2, -1],\n [-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": "49", "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, 0],\n [0, -2, 0],\n [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 (1, 2) of the matrix A^2 where A is:\n[[3, 1, -1],\n [0, 1, 0],\n [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 value at position (2, 3) of the result:\nA =\n[[2, 2, -1],\n [0, 2, 3],\n [0, 0, 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 absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 0],\n [0, 2, 2],\n [0, 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^2 and find the value at position (3, 3) of the result:\nA =\n[[1, -3, 2],\n [3, 1, 0],\n [-1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 0],\n [0, 2, 2],\n [0, 2, 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^2 where A =\n[[2, 0, 2],\n [0, 3, -2],\n [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": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -3, -1],\n [-2, 3, 0],\n [-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": "988", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, 1, 1],\n [3, 2, -3],\n [-1, -1, 1]]?\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 (2, 2) of the matrix A^4 where A is:\n[[3, 1, -2],\n [0, -2, 3],\n [0, 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[[-3, -2, 0],\n [-2, -2, 2],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 2, 2],\n [2, -1, -2],\n [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^3 where A is:\n[[1, -2, 2],\n [-2, 1, -2],\n [2, -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 absolute values of all entries of the matrix A^4 where A is:\n[[-1, -1, -2],\n [-1, 0, 0],\n [-2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, -1],\n [1, 0, 3],\n [-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": "27", "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],\n [-2, -2, 0],\n [1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -2],\n [0, -1, 1],\n [-2, 1, -2]]?\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 2th power of the matrix:\n[[3, 0, 3],\n [0, 2, 3],\n [0, 0, 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 sum of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, 1, -3],\n [0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "898", "dataset": "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],\n [0, 3, -2],\n [0, 0, 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^2 where A =\n[[2, -2, 0],\n [-2, 2, -2],\n [0, -2, -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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 0],\n [-3, 1, 3],\n [-3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "411", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, 2, 2],\n [-2, 1, 0],\n [-2, -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^2 where A =\n[[2, 2, 2],\n [0, -2, -3],\n [0, 0, 0]], determine the value at position (2, 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, 1) of the 4th power of the matrix:\n[[-1, 0, -2],\n [0, 0, -2],\n [-2, -2, 3]]\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[[1, -2, 2],\n [-2, 1, 2],\n [2, 2, 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^4 where A =\n[[-1, -2, 2],\n [-2, -3, -2],\n [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": "963", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 1],\n [0, 1, 2],\n [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": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0],\n [0, -3, 1],\n [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": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-2, -3, 2],\n [0, -1, 1],\n [0, 0, -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^3 where A is:\n[[2, 2, -2],\n [2, 1, 0],\n [-2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -2],\n [2, -1, 0],\n [-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": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[0, 3, 2],\n [0, -2, 0],\n [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 absolute values of all entries of the 2th power of the matrix:\n[[0, 1, 1],\n [-1, -2, 2],\n [2, 2, -3]]\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[[3, 0, 3],\n [0, -1, -3],\n [0, 0, -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 (2, 1) of the matrix A^2 where A is:\n[[-2, -2, -1],\n [0, -3, -3],\n [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, -2, 2],\n [-1, -3, -2],\n [1, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 4th power of the matrix:\n[[2, 0, 0],\n [0, 1, -3],\n [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^4 and find the sum of all entries of the result:\nA =\n[[2, -1, 3],\n [-3, -3, 2],\n [-1, 3, 0]]\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 3th power of the matrix:\n[[-2, 1, 1],\n [1, 3, 0],\n [1, 0, 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[[-3, -1, -3],\n [0, -1, 2],\n [-2, 0, 3]]?\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[[1, 2, -1],\n [-3, -2, -3],\n [-3, -3, 3]]\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 (1, 2) of the matrix A^3 where A is:\n[[-2, 1, -3],\n [-2, 3, -2],\n [-3, 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^4 where A =\n[[2, 1, 0],\n [-1, 1, -3],\n [3, -3, 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": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[-2, -1, -2],\n [-1, -1, -2],\n [-2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[1, 1, -2],\n [0, 1, -2],\n [0, 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, 3) of the 2th power of the matrix:\n[[-3, -2, -1],\n [-2, 2, -2],\n [-1, -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 all entries of the 4th power of the matrix:\n[[-1, 3, -2],\n [0, -1, -1],\n [0, 0, -1]]\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[[-2, 0, 0],\n [0, 0, -2],\n [0, -2, -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 absolute values of all entries of the matrix A^4 where A is:\n[[1, 2, -1],\n [0, -3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "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, -2],\n [0, 0, -1],\n [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 absolute values of all entries of the 2th power of the matrix:\n[[1, -3, 1],\n [3, -2, 0],\n [1, 0, 1]]\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, 1, -2],\n [1, 0, 0],\n [-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[[-1, 2, -2],\n [0, -2, -1],\n [0, 0, 0]], 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 value at position (3, 3) of the matrix A^3 where A is:\n[[0, 1, 1],\n [0, 2, 0],\n [0, 0, -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[[2, -2, -1],\n [0, -1, 2],\n [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 sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2],\n [0, 2, 1],\n [2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, 3, 1],\n [0, 1, -2]]\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[[-1, -1, 2],\n [-1, 1, -2],\n [2, -2, 1]], 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": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-1, -2, 0],\n [-2, -3, -2],\n [0, -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^4 and find the sum of all entries of the result:\nA =\n[[2, 3, -1],\n [1, -1, -1],\n [-2, 0, 0]]\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^2 where A is:\n[[-1, 0, 0],\n [0, -2, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -3, 1],\n [0, -1, 2],\n [0, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 0],\n [0, 1, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, -2, -3],\n [-2, -1, 2],\n [-3, 2, 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 4th power of the matrix:\n[[-3, -1, 3],\n [0, 2, -1],\n [0, 0, 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^2 where A =\n[[3, 0, 0],\n [1, -3, -3],\n [-1, -1, 0]], determine the value at position (2, 1).\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[[2, 2, 1],\n [2, 3, -2],\n [1, -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 absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 1],\n [0, -1, 0],\n [1, 0, 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, 1, -2],\n [-2, -2, 3],\n [-2, 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^4 where A =\n[[2, 1, 0],\n [0, 0, 3],\n [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": "243", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -3],\n [0, -3, -2],\n [-3, -2, -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": "For the matrix power A^2 where A =\n[[-2, 1, -3],\n [3, 1, -3],\n [-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": "73", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 0, -2],\n [0, -2, 0],\n [-2, 0, 1]]\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, 2],\n [-1, -3, 2],\n [2, 1, 2]]\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[[-2, 0, 0],\n [0, 3, -3],\n [-1, -2, -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^3 where A =\n[[1, 0, 0],\n [0, -2, 0],\n [0, 0, 0]], 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 absolute values of all entries of the 2th power of the matrix:\n[[0, -1, -2],\n [0, -2, -1],\n [0, 0, -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^2 and find the value at position (3, 2) of the result:\nA =\n[[1, -2, 1],\n [-1, 0, 2],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -1],\n [-1, 1, -2],\n [-1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, 1],\n [-1, -3, 1],\n [1, 1, -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": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 0, 2],\n [0, -3, -2],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "370", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-2, 0, 0],\n [0, -1, 0],\n [0, 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 3th power of the matrix:\n[[1, -2, -2],\n [-3, 3, -3],\n [1, 1, 0]]\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[[-2, 2, 0],\n [2, -2, -1],\n [0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 3, 2],\n [0, -3, 2],\n [0, 0, 2]]\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[[0, 0, 1],\n [0, 2, 2],\n [0, 0, 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 all entries of the result:\nA =\n[[-3, 1, 0],\n [1, 2, 0],\n [0, 0, 0]]\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[[-2, 2, -2],\n [2, 0, 0],\n [-2, 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[[0, -3, 0],\n [0, 3, -1],\n [0, 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^2 where A =\n[[3, -3, -1],\n [0, -3, 2],\n [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": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -2, 1],\n [-2, 1, -2],\n [1, -2, 0]]\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 2th power of the matrix:\n[[2, 1, 1],\n [1, -3, 1],\n [1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 2, 2],\n [2, 1, 0],\n [2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 1, 0],\n [1, -1, -2],\n [0, -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 all entries of the matrix A^2 where A is:\n[[-2, 3, 3],\n [-2, -3, -1],\n [-1, 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^4 and find the value at position (2, 1) of the result:\nA =\n[[-3, 0, 1],\n [0, 3, -1],\n [0, 0, -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 (1, 3) of the 3th power of the matrix:\n[[2, -2, 0],\n [-2, 0, 2],\n [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[[0, 1, -2],\n [-3, 0, 2],\n [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": "84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[2, -2, -3],\n [-3, 2, -2],\n [-1, -2, 2]]\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^4 where A is:\n[[-2, -1, -1],\n [0, 1, -2],\n [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 all entries of the 2th power of the matrix:\n[[2, 0, -1],\n [0, -2, 0],\n [-1, 0, -3]]\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^2 where A is:\n[[-3, 0, 1],\n [0, 0, 2],\n [1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, 2, 2],\n [-2, 3, -1]]\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[[-3, 0, -2],\n [0, -1, -3],\n [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": "145", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, -1, -1],\n [0, 3, -2],\n [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^2 where A =\n[[-3, -2, 0],\n [-2, -2, 0],\n [0, 0, -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": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 1],\n [1, 3, -2],\n [0, 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^4 where A =\n[[-3, -3, -1],\n [0, 3, 3],\n [0, 0, -2]], 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": "For the matrix power A^4 where A =\n[[0, 0, 0],\n [0, -2, 1],\n [0, 0, -2]], 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^2 and find the sum of all entries of the result:\nA =\n[[3, 1, 2],\n [0, 0, -2],\n [0, 0, 0]]\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[[3, 1, -3],\n [0, 2, 0],\n [1, -1, -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 sum of all entries of the result:\nA =\n[[2, 3, -2],\n [0, 3, -2],\n [0, 0, 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 all entries of the result:\nA =\n[[-3, 0, 1],\n [0, 1, 2],\n [1, 2, -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[[0, -2, -1],\n [-2, -3, -2],\n [-1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2459", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, 0, -2],\n [0, -3, -2],\n [-2, -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 sum of absolute values of all entries of the result:\nA =\n[[0, -1, -2],\n [-3, 2, 3],\n [-2, -3, 3]]\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[[1, 3, -2],\n [-1, -1, -2],\n [-3, -3, -1]], 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^2 where A =\n[[1, -3, -1],\n [-2, -3, 0],\n [-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": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^4 where A is:\n[[-3, 0, 2],\n [0, -2, 0],\n [2, 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 all entries of the matrix A^3 where A is:\n[[2, 1, -1],\n [2, -2, 1],\n [1, 1, -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 2th power of the matrix:\n[[-2, 2, 0],\n [2, 3, 1],\n [0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 3, 0],\n [3, 1, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "656", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^4 where A is:\n[[2, -1, 2],\n [-1, 0, 1],\n [2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -1],\n [0, 0, 2],\n [-1, 2, 1]], 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": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -2, -3],\n [0, 2, 2],\n [0, 0, -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[[-1, -1, -3],\n [-3, 3, -1],\n [-3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, -3],\n [0, 0, 3],\n [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": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -2, 2],\n [0, -1, -2],\n [0, 0, 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 value at position (3, 3) of the result:\nA =\n[[-1, 2, -3],\n [-3, -3, 2],\n [-3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -2],\n [0, 3, -3],\n [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": "110", "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],\n [0, 1, 0],\n [0, 0, 0]]?\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[[-1, 0, 0],\n [0, 3, 2],\n [0, 2, -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": "What is the sum of all entries of the matrix A^4 where A is:\n[[0, 0, -1],\n [0, -3, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 0],\n [0, 0, 0],\n [0, 0, -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 sum of all entries of the 2th power of the matrix:\n[[0, 2, 1],\n [2, -2, -2],\n [1, -2, -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[[0, 1, 2],\n [0, -2, 1],\n [-3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, -3],\n [0, -2, 2],\n [1, 0, -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^2 and find the value at position (4, 1) of the result:\nA =\n[[0, 0, 0, -2],\n [0, -1, -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": "-6", "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, 1, 0],\n [0, 1, -1, 2],\n [4, 0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1276", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-4, -1, -2, 0],\n [-1, 2, -3, -2],\n [-2, -3, 0, -4],\n [0, -2, -4, 3]]\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[[4, -2, 3, -3],\n [1, 1, -3, 2],\n [-2, 0, -4, -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": "1056", "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, 2, 1],\n [-2, -1, -1, -1],\n [4, 0, -1, 3],\n [4, 4, 2, 0]]\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, 1, -1, 4],\n [-4, 4, -1, -1],\n [-3, 0, 4, -3],\n [-3, 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": "1983", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-4, -3, -4, -3],\n [-1, 2, 0, 4],\n [-1, 3, -3, -4],\n [-4, -3, 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^2 where A is:\n[[4, 0, 3, 0],\n [0, -1, -1, -2],\n [3, -1, -4, 1],\n [0, -2, 1, -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[[4, -4, -2, -3],\n [-4, 2, 1, 0],\n [-2, 1, -4, 3],\n [-3, 0, 3, 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 (1, 1) of the matrix A^4 where A is:\n[[0, -2, 1, 2],\n [-1, -3, 2, 0],\n [3, -4, 0, 3],\n [-1, 4, 3, 1]]?\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 (1, 3) of the matrix A^3 where A is:\n[[-2, 2, -3, 1],\n [-2, -3, -4, 0],\n [-4, 4, 3, 2],\n [-4, -3, -3, 1]]?\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^4 where A is:\n[[4, 1, 2, -1],\n [1, -1, 1, 0],\n [2, 1, 0, 3],\n [-1, 0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1987", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, 4, -3],\n [0, -3, -1, 2],\n [4, -1, -2, -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": "222", "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, -4],\n [4, 2, 4, -2],\n [-3, 1, 3, 1],\n [4, -2, -2, 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 (1, 4) of the matrix A^4 where A is:\n[[-2, 2, -1, -1],\n [1, 2, -4, 4],\n [2, 3, 4, -1],\n [-1, 0, 0, -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 (2, 1) of the matrix A^2 where A is:\n[[1, -4, -4, -2],\n [0, -1, 0, 3],\n [4, -4, 2, 1],\n [3, -1, 4, -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 value at position (3, 2) of the result:\nA =\n[[-2, 2, -3, -3],\n [-2, 2, -1, 2],\n [-1, 2, 3, -4],\n [3, -2, -2, -1]]\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[[4, -2, 0, 2],\n [-2, -3, -1, -2],\n [0, -1, -3, -1],\n [2, -2, -1, 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^3 where A =\n[[3, -2, -2, 1],\n [-2, -1, -2, 0],\n [-2, -2, -2, -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": "-181", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -2, 0, -1],\n [-2, 4, 2, 2],\n [0, 2, -2, -2],\n [-1, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[4, 1, -2, 1],\n [2, -1, 3, 2],\n [-3, -3, -1, -4],\n [-3, -3, -1, 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[[-3, 0, -2, 0],\n [0, -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": "60", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 3, 4],\n [0, 1, 2, -2],\n [3, 2, -4, 1],\n [4, -2, 1, -3]]\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, 2, -2, 2],\n [2, 3, -1, 1],\n [-2, -1, 4, 3],\n [2, 1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1511", "dataset": "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, -4],\n [0, 0, 0, -1],\n [4, 2, 4, 0],\n [-1, -1, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1133", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 1, -2, 0],\n [1, -4, 0, 0],\n [-2, 0, -4, 2],\n [0, 0, 2, 4]], 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": "For the matrix power A^4 where A =\n[[4, 0, 3, 2],\n [0, 3, 3, -2],\n [3, 3, 0, -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": "5290", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, -1, 2],\n [-4, -3, 2, 1],\n [-2, 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": "-41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[4, -2, 0, 2],\n [-2, -2, 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": "73", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 0, 4],\n [0, 4, -2, 2],\n [0, -2, 2, 4],\n [4, 2, 4, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1175", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -2, -2, -2],\n [-2, 1, 2, 0],\n [-2, 2, -1, 3],\n [-2, 0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, 1, 0, -1],\n [1, 1, 0, 2],\n [0, 0, 1, 0],\n [-1, 2, 0, -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 (2, 1) of the matrix A^2 where A is:\n[[4, 2, -1, 0],\n [2, -4, 1, -1],\n [-1, 1, 3, 3],\n [0, -1, 3, -3]]?\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[[-2, 0, 0, 2],\n [0, 3, 3, 2],\n [0, 3, -3, 2],\n [2, 2, 2, -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 all entries of the matrix A^3 where A is:\n[[1, 0, 0, 0],\n [0, 4, 1, 0],\n [0, 1, -2, 0],\n [0, 0, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[1, -3, -2, -1],\n [-1, 2, 3, -2],\n [2, 1, -2, -3],\n [1, 3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[0, 3, 0, 2],\n [-4, -3, 1, -3],\n [4, 1, 0, 2],\n [4, 0, 0, 3]]\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^2 where A is:\n[[4, 2, 1, 2],\n [2, 1, 2, 4],\n [1, 2, 2, 0],\n [2, 4, 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 all entries of the 3th power of the matrix:\n[[3, -3, -2, -2],\n [-3, -1, 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": "-307", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 1, 2],\n [-2, 2, -4, 4],\n [4, 1, 0, -1],\n [-3, 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": "176", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 3th power of the matrix:\n[[0, -1, 0, -2],\n [-1, -3, 2, 0],\n [0, 2, 2, 2],\n [-2, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, 0, 2, 0],\n [0, -2, 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": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) of the matrix A^4 where A is:\n[[-4, -3, 1, -4],\n [-2, -3, -3, 0],\n [3, 2, 3, 3],\n [-4, -3, -1, 4]]?\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, -2, 4, 0],\n [-3, -3, -4, -3],\n [0, 2, 0, -2],\n [3, 3, 1, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-267", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^4 where A is:\n[[3, 0, 1, 0],\n [0, -3, 0, 4],\n [1, 0, 2, -2],\n [0, 4, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-272", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 3th power of the matrix:\n[[3, -3, 1, 2],\n [-3, -2, -4, 0],\n [1, -4, 0, -1],\n [2, 0, -1, 4]]\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 2th power of the matrix:\n[[0, 0, 0, 3],\n [0, 2, 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": "53", "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, 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": "-144", "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, -3],\n [1, 0, 0, -4],\n [0, 2, 3, -1],\n [4, -4, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "688", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 0, -4],\n [-2, 2, 3, -4],\n [-4, -3, -2, 4],\n [2, 3, 3, -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 (4, 1) of the 2th power of the matrix:\n[[1, -2, 2, -3],\n [-1, -3, 3, 2],\n [2, -3, 3, -4],\n [-2, 4, 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^2 where A is:\n[[-2, -4, 0, 1],\n [-4, 2, 0, 0],\n [0, 0, 1, -2],\n [1, 0, -2, 0]]?\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^4 where A is:\n[[3, 4, -4, -2],\n [2, 2, -2, 3],\n [1, 4, 1, 1],\n [0, 1, 0, 3]]?\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 (1, 1) of the matrix A^2 where A is:\n[[-4, 2, -2, 1],\n [2, 1, 0, 2],\n [-2, 0, 0, 1],\n [1, 2, 1, -3]]?\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 4th power of the matrix:\n[[4, -2, -1, 1],\n [-3, -3, 4, 4],\n [4, 1, 3, 1],\n [-3, 1, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3495", "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, 1],\n [4, 1, -1, -4],\n [4, 2, -2, 3],\n [-1, -2, 1, -2]]\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, 2) of the result:\nA =\n[[-4, 0, 2, -3],\n [0, -1, 0, 0],\n [2, 0, 4, -1],\n [-3, 0, -1, -4]]\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, -1, -4, 0],\n [-1, -4, -2, -2],\n [-3, 1, 0, 3],\n [1, -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": "1118", "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 [3, 1, -4, 3],\n [1, 2, 0, -3],\n [4, -4, 1, 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 all entries of the matrix A^3 where A is:\n[[1, -4, -2, -3],\n [-4, 0, 0, -2],\n [-2, 0, 3, -2],\n [-3, -2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-769", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[3, 1, -4, 1],\n [-3, 3, -4, 2],\n [2, 1, -1, 1],\n [3, 0, 2, -4]]\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, -1, 2, 2],\n [-4, 4, 3, 1],\n [-1, 4, 2, 0],\n [-1, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "790", "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, 2, -2],\n [0, 2, -4, -3],\n [0, -2, -3, 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^3 where A =\n[[3, 0, 2, -2],\n [0, -2, 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": "827", "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 [4, 4, 0, -4],\n [-3, 0, 3, 0],\n [0, -4, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1673", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 0, -1],\n [3, -1, 1, 4],\n [-2, -1, 4, 3],\n [1, 1, 2, 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 sum of absolute values of all entries of the result:\nA =\n[[1, -4, 2, 0],\n [-4, -2, 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": "3091", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, -4, 3, 1],\n [0, 1, 3, -3],\n [-2, -1, 1, 4],\n [-3, 2, 0, -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": "Calculate the matrix power A^4 and find the value at position (2, 1) of the result:\nA =\n[[0, 4, -3, 0],\n [2, -3, -2, -1],\n [4, -4, 1, -1],\n [-3, 0, -1, -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^3 where A =\n[[-3, -2, 1, 2],\n [-2, 3, -2, -2],\n [1, -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": "691", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 0, -2],\n [0, -4, 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": "273", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0, 2],\n [0, -3, -2, 2],\n [0, -2, 4, 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": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) of the matrix A^3 where A is:\n[[-2, 4, 4, -3],\n [-3, 4, -1, 0],\n [3, -1, 1, -1],\n [-3, 3, 4, 0]]?\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 2th power of the matrix:\n[[-4, 0, 4, 0],\n [0, 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": "-12", "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 [2, -4, -2, -3],\n [-2, 0, -3, -4],\n [-3, 1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2211", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[4, -4, -3, 1],\n [-3, 4, -1, -3],\n [4, 0, 3, -4],\n [-3, -3, -3, 0]]?\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 2th power of the matrix:\n[[1, 0, 0, 0],\n [0, 3, -2, 0],\n [0, -2, -4, 0],\n [0, 0, 0, -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^2 where A =\n[[1, 0, 3, 0],\n [0, 1, -2, 0],\n [3, -2, -2, 3],\n [0, 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": "121", "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, -1],\n [3, 0, -3, 1],\n [4, -4, -2, -1],\n [1, -1, 2, 4]]?\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[[-3, -4, -3, 3],\n [-3, -2, 2, -4],\n [-2, 3, 4, 0],\n [-3, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4936", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, -4, 3],\n [-1, 3, 3, 2],\n [-3, -3, -1, 3],\n [3, 0, -3, 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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 4, -4, 0],\n [1, -1, 0, -4],\n [4, 2, 0, -2],\n [1, -4, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "930", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -4, 1],\n [-2, 3, -4, 3],\n [-2, 4, -1, -1],\n [2, 1, -2, 3]], 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^2 where A is:\n[[-1, -2, 0, -3],\n [4, -3, -1, -3],\n [-4, -4, 1, 1],\n [4, -3, 3, -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 absolute values of all entries of the matrix A^4 where A is:\n[[2, 3, 4, -4],\n [-4, -3, 4, -2],\n [-4, 2, 1, 0],\n [0, 4, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5004", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 3, -2, 0],\n [3, 3, -3, 0],\n [-2, -3, -3, 0],\n [0, 0, 0, 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, 4, 2, 1],\n [3, -2, 3, 3],\n [2, -1, -1, -2],\n [3, -1, 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[[-3, -4, -4, -1],\n [-3, 0, -4, -4],\n [-2, 2, -2, -2],\n [-4, -4, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29764", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[4, 2, 1, -1],\n [-1, 4, 0, 2],\n [-4, -4, -4, 4],\n [-2, -2, 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^3 where A =\n[[4, 2, 0, 0],\n [2, -4, 2, 0],\n [0, 2, -3, 0],\n [0, 0, 0, 2]], 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": "Calculate the matrix power A^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -4, 1, -2],\n [2, -2, 1, -2],\n [4, -3, 3, -4],\n [-1, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2908", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-1, 1, -2, 4],\n [1, -3, -1, 0],\n [-2, -1, 0, 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": "4975", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -1, -1, 1],\n [4, -2, 0, 2],\n [-4, 0, -2, 0],\n [3, 1, 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^2 and find the sum of all entries of the result:\nA =\n[[3, 2, 1, -3],\n [1, -2, 4, 3],\n [1, -4, 0, -1],\n [3, -1, 0, -1]]\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, 3, -3, -3],\n [0, -4, -4, -3],\n [-2, 3, -4, 1],\n [4, -2, 0, 2]]\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, 1, -2, 0],\n [1, 1, -4, -3],\n [4, -4, -3, -2],\n [-4, -1, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2032", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -2, 0, -4],\n [-2, -1, 2, -1],\n [0, 2, 4, 2],\n [-4, -1, 2, 0]]?\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, 2, 1, 4],\n [1, 0, 1, 3],\n [-2, 0, -4, -4],\n [3, 0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3688", "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, 0, 2],\n [0, 2, 2, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "797", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[0, 4, -2, 2],\n [-1, 2, -4, 1],\n [-1, -2, 1, 0],\n [-3, -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^4 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 0, 3],\n [-1, -2, 2, 0],\n [0, 2, -2, -2],\n [3, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6825", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2, -2],\n [0, -1, -2, 0],\n [-2, -2, 1, -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": "344", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 2th power of the matrix:\n[[3, -2, 0, -1],\n [-2, 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": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, 2, 0],\n [0, 0, -2, -2],\n [2, -2, 0, 0],\n [0, -2, 0, -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, 1) of the matrix A^4 where A is:\n[[1, -2, 1, -4],\n [-2, -2, 1, -2],\n [1, 1, 0, -1],\n [-4, -2, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1088", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0, 0],\n [-2, 2, -1, 3],\n [0, -1, -2, 2],\n [0, 3, 2, -2]], determine the value at position (4, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[2, 3, 3, 4],\n [2, 3, -1, 4],\n [0, 4, 2, -1],\n [4, 2, 3, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 3, -3],\n [0, -3, 2, 3],\n [3, 2, -2, -1],\n [-3, 3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "980", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, -2, 3, -3],\n [3, -3, -1, -2],\n [-3, -4, -4, -2],\n [-3, 1, -3, -2]], determine the sum of all entries.\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 (1, 3) of the result:\nA =\n[[1, -4, 0, -4],\n [-4, 4, 2, 0],\n [0, 2, -2, 2],\n [-4, 0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-784", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, -2, 2, -2],\n [-2, 4, 0, -1],\n [2, 0, 2, 0],\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": "578", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, 4, -3],\n [0, 3, 2, 1],\n [3, 3, -3, 3],\n [-4, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1840", "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, 4],\n [2, -3, 3, 0],\n [-2, -4, 0, 1],\n [-3, -2, -2, -3]]\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 2th power of the matrix:\n[[-2, 1, 1, -4],\n [-2, -3, 1, 2],\n [1, 0, -4, 0],\n [0, -1, 1, 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, 2) of the 2th power of the matrix:\n[[2, -2, -2, -2],\n [-2, -3, 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": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-3, -2, 2, -1],\n [-2, 1, -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": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, -1, 0],\n [0, 4, 0, 1],\n [-1, 0, -3, 2],\n [0, 1, 2, 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^4 where A =\n[[4, 2, -1, 4],\n [-2, -2, 4, 4],\n [-3, 3, 0, 0],\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": "238", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 3, 2, 4],\n [0, -4, 2, 4],\n [-3, -3, -4, 2],\n [-2, 4, 4, 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, 3, 3, 1],\n [4, 4, -1, 2],\n [-4, -1, 2, 4],\n [1, 4, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5592", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-4, -4, 4, 2],\n [-4, -3, 2, -4],\n [2, 4, -2, -2],\n [3, 2, -4, 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^4 where A is:\n[[0, -4, -2, -1],\n [-4, 0, 2, -4],\n [-2, 2, -3, -2],\n [-1, -4, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6439", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, 2, 1, 0],\n [2, -4, -3, 1],\n [1, -3, 0, 0],\n [0, 1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1304", "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, 1, -2, 2],\n [0, -2, 4, -2],\n [-4, 2, -2, 3]]?\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 3th power of the matrix:\n[[-1, 2, -4, 4],\n [1, 1, -2, 0],\n [-3, -2, 0, 1],\n [-4, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "754", "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, -3],\n [0, 3, 1, -1],\n [-1, 2, -4, 2],\n [-1, 2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2146", "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, -4],\n [-3, -4, -1, -4],\n [-3, 3, 1, -3],\n [-3, -3, -4, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1329", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 4, -4, -1],\n [1, -3, 0, 2],\n [-4, -4, 2, -2],\n [0, 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": "4317", "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, -4, -2],\n [0, 4, 2, -3],\n [1, 2, -2, 2],\n [3, -4, -4, 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^4 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, 4, 0],\n [-2, 2, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7777", "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, 1, -3, 0],\n [-3, -3, -3, 0],\n [0, 0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6567", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 0, -3, 2],\n [-2, -2, -3, 4],\n [2, 2, -4, -4],\n [1, -3, -3, -4]], 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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -2, 2],\n [4, -3, 1, -2],\n [3, 1, 0, 1],\n [-1, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[2, 1, -2, 0],\n [4, 2, -1, 0],\n [2, 3, -3, 3],\n [-3, 2, -3, 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^2 where A =\n[[3, 0, 3, 0],\n [0, 3, -3, -2],\n [3, -3, -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": "185", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-1, -1, 0, -2],\n [-1, 2, -2, 0],\n [0, -2, -1, 2],\n [-2, 0, 2, 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[[-2, -3, 0, 0],\n [2, 0, 4, -4],\n [-1, -1, -2, 1],\n [0, -3, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-396", "dataset": "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 [-1, 3, -2, -2],\n [-2, 0, -2, 1],\n [0, -2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "996", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[4, -4, 4, -1],\n [-1, 1, 0, 2],\n [0, -2, -3, -3],\n [-2, 2, 4, -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^4 and find the sum of all entries of the result:\nA =\n[[2, -2, 0, 0],\n [-2, 0, 0, 0],\n [0, 0, 3, 2],\n [0, 0, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "461", "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, -1],\n [3, 3, -1, -1],\n [0, 4, -2, -1],\n [-3, 4, 1, 0]]\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, 1) of the 3th power of the matrix:\n[[4, 4, 0, 0],\n [4, 0, 1, 0],\n [0, 1, 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": "For the matrix power A^2 where A =\n[[-1, 0, -4, 3],\n [1, -4, -4, 4],\n [4, -3, 1, 3],\n [1, 4, -4, 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^2 and find the sum of all entries of the result:\nA =\n[[-3, 2, 2, -2],\n [0, 0, -2, 2],\n [0, -1, 3, 1],\n [4, 2, -2, 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[[-4, 4, -4, -1],\n [1, -1, 1, -3],\n [2, -4, -4, 0],\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": "-2182", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 4th power of the matrix:\n[[1, -3, -4, -2],\n [-1, -2, -1, 4],\n [2, 0, 0, 3],\n [1, 1, -1, -3]]\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 (2, 2) of the matrix A^2 where A is:\n[[-3, -3, 2, -3],\n [-3, 0, 0, 4],\n [2, 0, -1, -1],\n [-3, 4, -1, 0]]?\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, -1, 2, -1],\n [-1, 0, 0, 1],\n [2, 0, -4, 0],\n [-1, 1, 0, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "360", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (4, 1) of the result:\nA =\n[[1, -3, -2, -2],\n [-3, 1, 1, -1],\n [-2, 1, 0, 0],\n [-2, -1, 0, -2]]\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 (4, 1) of the matrix A^2 where A is:\n[[-3, -2, 0, -1],\n [-2, -1, -4, -3],\n [0, -4, -4, 2],\n [-1, -3, 2, 4]]?\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, 2) of the matrix A^3 where A is:\n[[-4, 2, -4, -3],\n [2, 2, 2, 1],\n [-4, 2, 0, -1],\n [-3, 1, -1, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-4, -2, 3, 3],\n [-2, 3, 0, -2],\n [3, 0, 3, -3],\n [3, -2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 4) of the result:\nA =\n[[2, 4, -4, -1],\n [-3, -1, 4, -4],\n [2, 1, -4, 1],\n [1, 4, -2, 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[[2, -4, 0, -4],\n [-1, -2, -1, 2],\n [0, 1, 2, -2],\n [-1, 3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7550", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 0, 2, 0],\n [0, 1, 1, 2],\n [2, 1, -2, 3],\n [0, 2, 3, -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^3 where A is:\n[[4, -1, 0, 2],\n [-1, -1, 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": "489", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 0, -2],\n [0, 0, -2, 2],\n [0, -2, -3, -2],\n [-2, 2, -2, 1]], 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, 0, -4, 2],\n [0, -4, 1, 4],\n [-4, 1, -1, -2],\n [2, 4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1604", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -3, -4, 2],\n [3, -4, -4, -2],\n [3, 2, 1, 0],\n [2, 0, 0, -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^4 where A is:\n[[0, 0, -2, 1],\n [4, -3, 4, 0],\n [4, 2, -1, -1],\n [4, -3, 4, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3789", "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, 2, 1],\n [2, -1, -2, 2],\n [2, -2, 4, 0],\n [1, 2, 0, 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^2 and find the value at position (4, 4) of the result:\nA =\n[[-1, 1, -4, 2],\n [1, 1, 3, 0],\n [-4, 3, -3, 4],\n [2, 0, 4, -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^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 3, 0],\n [0, -4, 0, -2],\n [3, 0, -2, -2],\n [0, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3942", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 2, 2],\n [-2, 0, 2, 1],\n [2, 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": "2614", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 2, 0],\n [0, 0, -4, 0],\n [2, -4, -1, -1],\n [0, 0, -1, -4]]?\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[[-1, 2, -3, 2],\n [2, 4, -2, 1],\n [-3, -2, 1, 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": "6866", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 3, 0, 3],\n [-1, 2, 0, 1],\n [2, 2, -2, -1],\n [0, -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^2 where A is:\n[[4, 0, 0, 0],\n [0, 4, 1, 0],\n [0, 1, 3, -2],\n [0, 0, -2, 0]]?\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[[0, 0, -1, 0],\n [0, 4, -1, 2],\n [-1, -1, 2, 1],\n [0, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1800", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 4, 0, 2],\n [3, 1, -2, -2],\n [1, 1, -1, 0],\n [4, -1, -1, 0]], determine the value at position (4, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "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, 0],\n [-1, 0, -2, -4],\n [0, -2, -1, 1],\n [0, -4, 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^2 where A =\n[[-1, -1, -2, 2],\n [-1, -1, -2, 3],\n [-2, -2, -2, -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": "147", "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, -1],\n [-2, 0, -1, 4],\n [0, -1, 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[[2, -2, 2, 2],\n [-2, -1, 0, 2],\n [2, 0, 0, 0],\n [2, 2, 0, -4]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -3, 3, -4],\n [-4, 1, -4, -3],\n [-1, 1, 4, 3],\n [2, 3, 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^4 where A =\n[[0, 0, 3, 0],\n [4, -4, -4, 4],\n [1, -1, 1, 3],\n [4, 3, 4, -4]], determine the value at position (1, 2).\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[[1, 3, 0, -4],\n [-3, -4, 3, -2],\n [1, -3, -1, 0],\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": "-663", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, -1, 0, 0],\n [-1, -2, 1, -2],\n [0, 1, 3, 0],\n [0, -2, 0, 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^2 where A is:\n[[4, -2, 3, 3],\n [-4, -1, 1, -1],\n [-4, 2, -2, 3],\n [-4, 3, -1, -2]]?\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 2th power of the matrix:\n[[3, -2, 0, -2],\n [-2, -4, 0, 2],\n [0, 0, 1, 2],\n [-2, 2, 2, -2]]\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 all entries of the result:\nA =\n[[4, 1, 2, -4],\n [-3, 0, 1, 3],\n [4, -3, 0, 4],\n [-3, 3, -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 all entries of the result:\nA =\n[[4, 1, -2, -2],\n [1, 3, -2, 2],\n [-2, -2, -1, -2],\n [-2, 2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2587", "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, -4],\n [2, 3, 0, -2],\n [-1, 0, 1, 4],\n [-4, -2, 4, -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 all entries of the result:\nA =\n[[-2, 2, 2, 2],\n [2, 1, 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": "1025", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 4, -1, 1],\n [4, -2, 1, 2],\n [-1, 1, -3, 0],\n [1, 2, 0, 3]], 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -4, 4],\n [3, 4, -2, 3],\n [-4, -1, 0, -2],\n [4, 1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3952", "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 [-4, 1, 4, 4],\n [-4, -2, 1, 3],\n [4, 2, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "331", "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, 3],\n [4, 0, -3, 0],\n [-1, -1, 3, 1],\n [-3, 2, 2, -2]]\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, 1, 2, 4],\n [4, -2, 0, 0],\n [2, -4, 0, -3],\n [-4, -1, -1, 1]]\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 (2, 2) of the matrix A^2 where A is:\n[[0, 4, -2, -1],\n [4, 3, -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": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, -1, 1],\n [0, -3, 1, -3],\n [-2, 1, -2, -4],\n [-3, 3, 4, 2]], determine the value at position (3, 4).\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 value at position (3, 4) of the result:\nA =\n[[3, 0, 3, -3],\n [3, -2, 3, 2],\n [3, -2, 0, -4],\n [-1, 2, -3, -1]]\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 (4, 1) of the matrix A^4 where A is:\n[[1, -1, 2, -1],\n [-1, -2, 4, 2],\n [2, 4, -3, -2],\n [-1, 2, -2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-397", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, -4, -1],\n [-2, 1, -2, -3],\n [-3, 4, 0, 3],\n [3, -2, 1, -3]], determine the value at position (2, 1).\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, 3) of the 2th power of the matrix:\n[[3, 1, 2, -2],\n [1, -2, -2, 1],\n [2, -2, 1, 3],\n [-2, 1, 3, 3]]\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[[2, 0, 4, -4],\n [-1, 1, 4, -1],\n [-4, -1, 2, 1],\n [0, 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[[0, 1, -3, 1],\n [4, 2, 2, -2],\n [-2, -2, -2, -4],\n [-2, -4, 4, -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^3 where A =\n[[-3, 4, -1, 0],\n [4, 2, 3, 0],\n [-1, 3, -4, 2],\n [0, 0, 2, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 0, 0, -2],\n [0, -4, 1, 2],\n [0, 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": "8895", "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, -4, 3, 0],\n [-2, 4, -1, 0],\n [4, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (4, 4) of the result:\nA =\n[[-4, 0, 2, -2],\n [0, -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": "-45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 4) of the result:\nA =\n[[1, 0, -2, 2],\n [0, 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": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[-4, 1, -3, 0],\n [-4, -1, 3, -2],\n [4, -2, -1, 1],\n [3, -4, 4, -4]]\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^3 where A is:\n[[1, 3, 0, 1],\n [3, -3, 0, -3],\n [0, 0, 2, 2],\n [1, -3, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "908", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -4, -4, 4],\n [3, -3, 4, -1],\n [4, 0, 2, 4],\n [0, 4, 2, -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 absolute values of all entries of the result:\nA =\n[[-2, -2, 0, 0],\n [-2, -1, -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": "4498", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-4, 2, -4, -1],\n [2, -1, 0, 0],\n [-4, 0, -2, 3],\n [-1, 0, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12573", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -2, 1, 3],\n [-3, -2, -3, 3],\n [4, -3, -3, 3],\n [1, -2, 1, -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^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 0, -2],\n [0, 3, 4, -2],\n [0, 4, 2, 0],\n [-2, -2, 0, 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^2 and find the value at position (3, 4) of the result:\nA =\n[[0, -2, -2, -2],\n [-2, 3, -4, 2],\n [-2, -4, 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[[-1, -4, 3, -3],\n [3, 0, 0, -3],\n [-2, 2, -2, -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": "592", "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, -2, 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": "289", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 2, 2, -4],\n [-2, 2, -4, 2],\n [2, -2, -2, 0],\n [1, 1, -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 all entries of the matrix A^3 where A is:\n[[0, 2, -3, -4],\n [-1, 3, 4, -4],\n [3, -2, 3, 2],\n [-1, -1, 1, 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^3 where A is:\n[[4, 2, 3, 1],\n [2, 3, 0, 4],\n [-2, 0, -2, 4],\n [1, 4, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1696", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -3, 2, 3],\n [2, -2, 2, -4],\n [-3, 1, 3, 3],\n [3, 0, 2, -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 absolute values of all entries of the matrix A^4 where A is:\n[[0, 3, 4, 0],\n [-1, -3, 3, 2],\n [-1, 3, -1, 4],\n [0, 4, -2, 3]]?\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, 3, -2, 3],\n [3, -2, -2, -1],\n [-2, -2, 1, 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": "1280", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 2, -2, 3],\n [2, 3, 4, 1],\n [2, -3, 4, 2],\n [3, 3, 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 4th power of the matrix:\n[[0, 3, 1, 2],\n [3, 4, 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": "3564", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, -2, 3, -2],\n [-4, 2, 3, 1],\n [-4, -1, -2, 1],\n [-3, -4, -1, 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 (3, 2) of the 2th power of the matrix:\n[[1, 0, 1, 0],\n [0, 0, 4, 0],\n [1, 4, 2, 2],\n [0, 0, 2, 0]]\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, -2, 0, 0],\n [-2, 1, 3, 0],\n [0, 3, -3, 0],\n [0, 0, 0, 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, 4, 4, 1],\n [4, -2, -1, -2],\n [4, -1, 4, 0],\n [1, -2, 0, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1337", "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 [0, 2, -1, 2],\n [-4, -1, 4, -2],\n [-3, 2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7247", "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, 0, 0],\n [-3, -1, 2, -4],\n [0, 2, 1, 2],\n [0, -4, 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^3 where A =\n[[1, 0, 2, 0],\n [0, 3, 0, 2],\n [2, 0, 4, -2],\n [0, 2, -2, 3]], determine the value at position (4, 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^2 where A =\n[[-1, -1, 4, -1],\n [-4, -2, 1, 1],\n [-3, 4, -4, -1],\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": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[4, -4, 2, 2],\n [-4, 2, 4, -1],\n [2, 4, 4, -3],\n [2, -1, -3, 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^2 where A is:\n[[-3, 3, -3, -4],\n [1, -1, 1, 3],\n [-3, -4, 0, 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^4 and find the value at position (1, 3) of the result:\nA =\n[[1, -4, 0, -4],\n [2, -4, 1, -3],\n [-1, -1, 3, 3],\n [3, -1, -3, -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 (2, 4) of the matrix A^3 where A is:\n[[-4, 0, 2, 4],\n [1, 4, 2, -1],\n [-2, 3, -3, 2],\n [0, -3, -2, 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, 0, 2],\n [-1, 3, 0, 2],\n [0, 0, -4, 2],\n [2, 2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -2, 3, 3],\n [-1, 2, -2, 3],\n [-2, 0, -3, 3],\n [3, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[2, 0, 0, -3],\n [0, 2, 3, -2],\n [0, 3, 2, 4],\n [-3, -2, 4, -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, 1, 3, 0],\n [3, 0, -2, 3],\n [2, 2, -1, 2],\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": "548", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, -4, 3],\n [-2, 2, 2, -2],\n [1, 2, -4, -3],\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": "152", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 1, 0, -1],\n [1, 3, 0, -2],\n [0, 0, -4, 3],\n [-1, -2, 3, -2]]?\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[[0, 3, 2, -3],\n [3, 1, 1, 0],\n [2, 1, 0, -1],\n [-3, 0, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "775", "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 [-2, -3, -2, 1],\n [-2, 3, 1, 0],\n [-2, 1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3344", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 2, 2, -2],\n [2, 4, -3, -1],\n [2, -3, -3, 0],\n [-2, -1, 0, -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 absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 0, -1],\n [0, -3, 0, 2],\n [0, 0, 2, 2],\n [-1, 2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "285", "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, 3, -3, 3],\n [0, -3, 4, 0],\n [0, 3, 0, 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 (3, 4) of the matrix A^2 where A is:\n[[-4, -3, 0, 4],\n [2, -2, 0, 4],\n [1, 2, 1, -2],\n [3, 3, -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^2 where A =\n[[-2, -1, 2, 3],\n [-4, -1, 1, 0],\n [1, 4, 0, 0],\n [-4, 3, 3, -3]], determine the value at position (3, 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[[2, 0, -1, -2],\n [0, 0, 0, -2],\n [-1, 0, -2, -1],\n [-2, -2, -1, 0]]\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, 2, 0, 0],\n [2, 4, 2, 2],\n [0, 2, -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": "5290", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 1, 3, -3],\n [1, 1, -1, -1],\n [-4, 3, 0, -3],\n [3, 4, 3, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -2, -1, 0],\n [-2, 1, 0, 0],\n [-1, 0, 4, 1],\n [0, 0, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 2th power of the matrix:\n[[-2, 2, -3, 3],\n [-1, -1, 3, 0],\n [4, 0, -4, 0],\n [1, -1, -4, 1]]\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 2th power of the matrix:\n[[2, 0, 0, 0],\n [0, 2, 0, -4],\n [0, 0, 0, 1],\n [0, -4, 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[[-2, 2, 4, -2],\n [4, -1, 1, -4],\n [1, 1, -1, -1],\n [-4, -1, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1152", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 2th power of the matrix:\n[[-2, 2, -1, -2],\n [2, -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": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 1, 0],\n [-1, 3, 0, 0],\n [1, 0, 0, 4],\n [0, 0, 4, -1]], determine the value at position (1, 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[[-4, -2, -2, 0],\n [-2, 0, -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": "2073", "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, 2, 0],\n [-2, -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": "-114", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) of the matrix A^3 where A is:\n[[-3, -2, -2, 0],\n [-2, 4, -1, 2],\n [-2, -1, -2, -2],\n [0, 2, -2, 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 (4, 4) of the matrix A^3 where A is:\n[[-2, -4, -2, -2],\n [-4, 1, -1, 2],\n [-2, -1, -4, -4],\n [-2, 2, -4, 0]]?\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[[-2, -4, 2, -3],\n [-4, 4, 2, -3],\n [-1, -3, 2, 0],\n [4, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-4, -3, -1, -1],\n [-4, -1, -3, 2],\n [-4, -4, -3, -2],\n [4, 3, -3, 3]]\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[[-4, 2, -2, -4],\n [0, -2, 0, 0],\n [-4, -4, 0, -2],\n [0, -3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2625", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[4, 0, 3, -3],\n [3, -4, -2, -2],\n [0, -4, 3, 3],\n [-3, 3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1186", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 4, 0, 3],\n [0, 1, -4, -2],\n [3, -2, -4, -4],\n [4, 2, -2, 0]]?\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, 2, -1],\n [3, 1, -1, 0],\n [1, -1, -3, -1],\n [3, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "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 [-2, 3, 0, 2],\n [1, 0, 0, 1],\n [-1, 2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "625", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 4, 4],\n [3, -4, -4, 4],\n [-4, -1, -2, 4],\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": "2074", "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, -4],\n [0, 1, -2, 2],\n [0, -2, 0, -3],\n [-4, 2, -3, 1]]?\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^2 where A is:\n[[3, 1, 0, 1],\n [1, -1, -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": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-3, -2, -1, 0],\n [-2, -2, -2, -1],\n [-1, -2, -3, -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": "19074", "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 [1, 0, 3, 4],\n [0, 4, 0, -3],\n [3, -1, -2, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1170", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[4, 2, -4, 1],\n [-2, 4, -4, -1],\n [3, 3, -4, -2],\n [1, -3, -1, 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^2 and find the sum of all entries of the result:\nA =\n[[4, 1, -2, 3],\n [1, -4, -2, 2],\n [-2, -2, 2, 0],\n [3, 2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the 3th power of the matrix:\n[[-4, 2, -3, 1],\n [2, -3, 0, 4],\n [-3, 0, 2, -2],\n [1, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 3, -1],\n [2, -3, 1, -2],\n [3, 1, -1, 2],\n [-1, -2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "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, 0, 2],\n [2, 0, -3, 1],\n [-2, 2, 1, 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, -4, 0, -1],\n [-3, -2, -3, 0],\n [-1, 3, -1, 1],\n [1, -3, -4, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "435", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[4, 2, -2, -4],\n [2, 2, 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": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -3, -1, -3],\n [-3, 3, -3, 1],\n [-4, -3, 4, 4],\n [4, -2, 0, 0]], determine the value at position (1, 4).\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 2th power of the matrix:\n[[-3, 2, -2, 0],\n [2, 4, 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": "86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-3, -3, 0, 0],\n [-3, 4, 1, -2],\n [0, 1, 1, 0],\n [0, -2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "728", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 2, 0],\n [2, 0, 2, -1],\n [2, 2, -3, -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": "-144", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[4, 1, 2, 0],\n [1, 4, 1, 0],\n [2, 1, -2, 2],\n [0, 0, 2, -2]], determine the value at position (2, 4).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, 3, 1, -1],\n [-1, 3, -4, 0],\n [-2, 3, -4, 0],\n [-2, 0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "895", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 4, 3, 2],\n [-2, 2, 2, 3],\n [-2, 4, 3, 4],\n [0, -2, -1, 0]], determine the sum of all entries.\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 3th power of the matrix:\n[[0, 1, -3, -1],\n [0, 1, -2, 0],\n [4, -2, -1, 0],\n [1, 4, 4, 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 absolute values of all entries of the result:\nA =\n[[-2, -2, 4, -2],\n [-2, 2, 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": "745", "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, 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": "217", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -1, 2, 4],\n [-1, 2, -2, -4],\n [2, -2, -3, 2],\n [4, -4, 2, 4]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "845", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, -3, -2],\n [0, 2, 4, -2],\n [-3, 4, -3, -2],\n [-2, -2, -2, 2]]\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 3th power of the matrix:\n[[4, 2, 0, 0],\n [2, 4, 1, -4],\n [0, 1, 2, 2],\n [0, -4, 2, -4]]\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[[0, -1, 1, 0],\n [2, -4, -4, -4],\n [3, -3, 2, 4],\n [-2, -4, 1, 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^2 and find the value at position (2, 2) of the result:\nA =\n[[2, -2, -2, 3],\n [-2, -4, -1, 1],\n [-3, 2, 3, 2],\n [0, -1, 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^2 and find the value at position (1, 2) of the result:\nA =\n[[0, -2, 4, -3],\n [0, 4, 0, 2],\n [2, 3, -3, -3],\n [3, 4, 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^3 and find the sum of all entries of the result:\nA =\n[[-2, 4, -3, -1],\n [0, -2, 2, -4],\n [-4, 0, 1, 2],\n [0, -3, 1, 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 (1, 1) of the matrix A^4 where A is:\n[[0, -2, -3, 3],\n [3, 3, -3, 2],\n [4, 2, 0, 1],\n [4, 4, 1, -2]]?\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^2 where A is:\n[[-4, 3, 2, -1],\n [3, -2, 2, -2],\n [0, 2, 2, -4],\n [0, 1, 0, -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 all entries of the matrix A^4 where A is:\n[[1, -3, -3, 4],\n [-3, -1, -3, 3],\n [2, 3, -3, 1],\n [3, -2, -3, -1]]?\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[[0, 0, 0, 4],\n [0, -4, 3, 0],\n [0, 3, 3, -1],\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": "81", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-4, -2, -2, 0],\n [-2, -3, 0, 0],\n [-2, 0, -2, -4],\n [0, 0, -4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "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, -4, -2, 0],\n [-2, -2, -4, 0],\n [-2, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[2, -1, 3, 3],\n [3, -1, 2, -1],\n [-3, 4, -3, -1],\n [-4, 1, 2, 0]]\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, 3, 0, 0],\n [3, 2, -2, 0],\n [0, -2, -1, 1],\n [0, 0, 1, 3]], determine the value at position (2, 3).\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[[-2, 0, -1, 0],\n [-3, -1, -4, -3],\n [-4, 2, -4, -3],\n [-2, -4, -4, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15987", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, -2, -4],\n [-2, 0, 2, -2],\n [-2, 2, -2, 2],\n [-4, -2, 2, 1]], determine the value at position (3, 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, 1, -4, 0],\n [1, 1, 2, 2],\n [-4, 2, -4, 2],\n [0, 2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5865", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^2 where A is:\n[[2, -3, -1, -1],\n [2, -1, -2, 1],\n [0, -4, -3, -4],\n [2, 3, -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^2 where A is:\n[[-2, 1, 1, -3],\n [4, 0, 1, -1],\n [3, 2, -2, -2],\n [-2, -1, 1, 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 (1, 2) of the 3th power of the matrix:\n[[-2, -2, 2, 2],\n [-2, -4, -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": "-76", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, -3, -4],\n [4, -4, 2, 1],\n [-4, -4, 2, 3],\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": "-8", "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 [-3, 3, 4, -4],\n [-4, -4, 2, 0],\n [2, 0, 3, -1]]\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 (4, 2) of the matrix A^3 where A is:\n[[-2, -2, -2, 1],\n [-3, -1, -3, 2],\n [-4, 1, -4, -1],\n [-2, 1, 4, 4]]?\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 (1, 4) of the matrix A^2 where A is:\n[[3, -1, 3, 2],\n [-1, -3, -3, 3],\n [-1, 2, 2, 4],\n [-2, -4, -4, 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[[-1, 4, -3, -3],\n [2, -4, 4, -2],\n [1, 4, -3, 2],\n [1, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1914", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 2, 1],\n [0, 3, 2, -1],\n [-1, 0, 2, 2],\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": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -4, 1, 1],\n [-4, 2, 0, 1],\n [3, 4, -3, -4],\n [3, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "287", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, -2],\n [0, -1, 0, -1],\n [-2, 0, 3, 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": "3506", "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 [3, 3, 0, -3],\n [-1, -2, 3, -3],\n [1, 3, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8484", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[2, 1, 0, 0],\n [1, -2, -1, 0],\n [0, -1, 2, 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": "109", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[-1, -4, 2, 4],\n [-3, 4, -4, 2],\n [4, 4, -3, 1],\n [0, 0, -3, 3]]\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, 1) of the matrix A^4 where A is:\n[[4, 0, 4, -4],\n [4, 3, 4, 2],\n [0, 4, -3, 1],\n [-3, -3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1348", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) of the matrix A^2 where A is:\n[[-2, -2, 0, -3],\n [-1, 3, 4, 2],\n [4, -2, -1, 2],\n [-1, 1, 3, -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[[3, -2, -1, 0],\n [-2, -1, -1, 1],\n [-1, -1, -3, 1],\n [0, 1, 1, 4]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[0, 3, 3, 1],\n [-4, -2, -2, 3],\n [4, 2, -3, -1],\n [4, 1, -3, -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[[3, 0, 1, 0],\n [0, -4, 0, -1],\n [1, 0, 2, -1],\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": "1", "dataset": "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, 0],\n [1, 4, -2, 0],\n [-4, -2, 2, -2],\n [0, 0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1084", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, -3, 3],\n [-1, -4, 0, 0],\n [2, -1, 3, 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": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 0, -3],\n [1, -4, 1, -1],\n [0, -2, 3, -2],\n [4, 0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 4th power of the matrix:\n[[1, 0, -2, 0],\n [0, 4, -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": "73", "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, -1],\n [-2, 1, 0, -2],\n [-3, 0, -3, 0],\n [-1, -2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-277", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 0, 2],\n [0, 2, 0, 3],\n [0, -3, 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": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 3th power of the matrix:\n[[4, 1, 2, 0],\n [1, 0, 0, 4],\n [2, 0, -1, 0],\n [0, 4, 0, 0]]\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[[-3, 2, 1, 3],\n [-3, 4, 2, 1],\n [1, -1, 1, -1],\n [-3, -3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 4, 1, -4],\n [-2, 1, 2, -3],\n [1, 4, -1, 0],\n [-3, -2, 0, -3]]\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 2th power of the matrix:\n[[3, 0, 2, 0],\n [0, -4, -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": "115", "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 [-1, -2, -3, -1],\n [4, -1, 0, 3],\n [4, 1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-3, 3, 0, 2],\n [-2, 0, -1, -3],\n [1, -3, 1, -3],\n [1, -4, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-405", "dataset": "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, -2, -2, -1],\n [0, 3, 1, -1],\n [-3, 2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7465", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[4, 4, -1, 3],\n [-1, 1, 2, 4],\n [-4, -2, 3, -4],\n [4, 3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, -3, -3, -4],\n [-2, 2, -1, 4],\n [-3, 2, -2, -4],\n [0, 2, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2139", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, -4, 0, -2],\n [-4, -4, 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": "16177", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^3 where A is:\n[[2, 0, 2, 2],\n [0, -4, 2, -2],\n [2, 2, -3, 0],\n [2, -2, 0, -3]]?\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[[0, -1, -4, 1],\n [3, 2, -4, -1],\n [-1, 2, -3, 2],\n [2, 3, 0, 0]]?\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 2th power of the matrix:\n[[2, -2, -2, 0],\n [-2, -3, 0, 2],\n [-2, 0, 4, 0],\n [0, 2, 0, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 4, 2, 1],\n [-3, 2, 2, -3],\n [-3, 3, -4, 0],\n [-3, -3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -1, 4],\n [2, 4, 4, -4],\n [0, -3, 0, 0],\n [-4, 3, 0, 3]], 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": "For the matrix power A^4 where A =\n[[-3, 0, 0, -1],\n [0, 3, 0, 0],\n [0, 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": "450", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, 0, -1],\n [0, -4, 0, 2],\n [0, 0, 0, 2],\n [-1, 2, 2, 0]]?\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 (3, 4) of the matrix A^3 where A is:\n[[3, -4, 4, 2],\n [-4, -4, 4, 0],\n [4, 4, 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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 4, -1, -3],\n [3, 3, 4, -4],\n [0, 0, 2, -4],\n [2, -4, -2, 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 2th power of the matrix:\n[[4, 1, -1, 3],\n [1, 2, -2, 0],\n [-1, -2, -4, 0],\n [3, 0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -1, 3, -4],\n [-3, 0, -4, 2],\n [-1, -4, -3, 1],\n [-2, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[1, 1, -2, -3],\n [-4, 1, -2, -1],\n [3, 1, 1, 4],\n [2, -1, 4, -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^3 where A is:\n[[1, -3, 1, 0],\n [1, 1, 4, -1],\n [0, 0, -1, 3],\n [0, 4, 4, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "656", "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 [3, -3, -2, 4],\n [4, 0, -3, 3],\n [2, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1814", "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, 1, 2],\n [1, -1, 4, -3],\n [0, 3, -4, 2],\n [-2, 2, -4, 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^4 where A =\n[[-1, -2, 0, -1],\n [-2, -2, 0, 0],\n [0, 0, -4, -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": "16", "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 [2, -1, -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": "314", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-4, -1, 2, -2],\n [-1, -3, -1, -1],\n [2, -1, 3, 4],\n [-2, -1, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "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 [0, 1, 1, 0],\n [2, 1, -2, 2],\n [-1, 0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "460", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[4, 2, 1, 0],\n [2, 0, 2, 3],\n [1, 2, 2, -2],\n [0, 3, -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": "For the matrix power A^3 where A =\n[[1, 1, -2, 0],\n [1, 3, 2, -1],\n [-2, 2, -2, 2],\n [0, -1, 2, 3]], determine the value at position (1, 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 (2, 3) of the 3th power of the matrix:\n[[0, 0, 2, 0],\n [0, 0, 0, 0],\n [2, 0, -4, 3],\n [0, 0, 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^2 and find the value at position (4, 2) of the result:\nA =\n[[1, -2, -2, 4],\n [-2, 3, 0, 2],\n [-2, 0, 0, 0],\n [4, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[4, -1, 1, -2],\n [-1, 3, 1, 1],\n [1, 1, 2, -2],\n [-2, 1, -2, 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 all entries of the matrix A^2 where A is:\n[[-1, -2, -2, 0],\n [-2, 0, -3, 2],\n [-2, -3, 0, 0],\n [0, 2, 0, 0]]?\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, 3) of the 2th power of the matrix:\n[[1, 3, -2, 0],\n [3, -3, -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": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 1, 3],\n [-1, 0, 0, -1],\n [1, 0, -4, 1],\n [3, -1, 1, 0]]?\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[[2, -2, -1, 0],\n [-2, 3, 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": "1347", "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, 4, 4],\n [0, 0, 0, 0],\n [4, 0, -3, 0],\n [4, 0, 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 (4, 4) of the matrix A^4 where A is:\n[[2, -1, -2, -2],\n [-1, -4, -3, 0],\n [-2, -3, 4, -1],\n [-2, 0, -1, 0]]?\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, -4, 3, 4],\n [-1, 2, -4, -2],\n [-4, -3, 0, -2],\n [2, 2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "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, 3],\n [-2, 2, -4, -1],\n [4, 3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6700", "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, -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": "891", "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 [0, -2, -2, -3],\n [0, -2, 3, -4],\n [3, -3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13501", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 4, -2, 0],\n [4, 1, -2, -2],\n [-2, -2, -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": "118", "dataset": "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, -4, 2, -1],\n [0, 2, 2, 0],\n [-2, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5800", "dataset": "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, -1, 3, -1],\n [4, -4, -1, -2],\n [-4, -1, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "481", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 3th power of the matrix:\n[[0, 2, -2, -3],\n [3, 0, 4, -4],\n [0, 4, 0, 4],\n [4, 0, 2, 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 all entries of the result:\nA =\n[[-4, 3, 2, -4],\n [4, -2, 1, -2],\n [-4, 0, 4, -3],\n [4, -4, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-764", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 0, 2, 2],\n [0, -1, 2, 0],\n [2, 2, 0, 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": "1106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[1, -4, 1, 3],\n [-3, -4, -3, 4],\n [-2, 3, 4, -4],\n [0, -2, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3003", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, -2, 2],\n [0, 1, -2, 0],\n [-2, -2, 3, 2],\n [2, 0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -4, 1, 1],\n [-2, 4, -2, 2],\n [-3, 0, 1, 2],\n [0, 0, 3, 4]], 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": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, -3, -2, 3],\n [4, -2, -4, 1],\n [3, -1, -3, -1],\n [4, 2, -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[[0, -1, -1, 2],\n [-1, 3, -3, 4],\n [-2, 0, 0, 0],\n [-1, 4, -1, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "570", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the 4th power of the matrix:\n[[-1, 0, 2, 0],\n [-4, -2, -3, 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": "-78", "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, 3, 4, 0],\n [2, 4, 4, -2],\n [2, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1853", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 4th power of the matrix:\n[[-1, 1, 2, 4],\n [1, -3, 2, 0],\n [2, 2, 4, 2],\n [4, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1200", "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 [3, 0, 3, -2],\n [1, -1, -2, -3],\n [3, 3, 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 sum of absolute values of all entries of the result:\nA =\n[[4, 1, 2, 4],\n [-4, -1, 1, 2],\n [4, -4, -4, -2],\n [0, 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^2 and find the value at position (4, 2) of the result:\nA =\n[[3, 1, 0, -2],\n [1, 2, 0, 2],\n [0, 0, 0, 1],\n [-2, 2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, 3, 0],\n [0, -3, 2, -2],\n [3, 2, -2, -4],\n [0, -2, -4, -2]]?\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 (2, 4) of the matrix A^4 where A is:\n[[4, 3, -2, 0],\n [3, 4, 0, 0],\n [-2, 0, 4, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 3, -1],\n [2, 2, 2, 4],\n [3, 2, -3, 0],\n [-1, 4, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-4, 0, -2, 0],\n [0, -1, -1, 0],\n [-2, -1, -3, 3],\n [0, 0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, -2, 3],\n [-4, -2, 4, 3],\n [-2, 3, -1, -2],\n [-4, -2, 3, -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[[1, 0, -4, -1],\n [4, -1, 4, 3],\n [2, -1, 4, -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": "-62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[1, 0, -3, -3],\n [0, 4, 0, 2],\n [-3, 0, -1, -2],\n [-3, 2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5443", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[4, 1, 2, -2],\n [1, -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": "2155", "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, 2],\n [3, -1, -2, -1],\n [-2, -2, 1, -2],\n [2, -1, -2, 4]]\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 (4, 1) of the matrix A^3 where A is:\n[[0, -4, 4, 2],\n [-4, 3, 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": "102", "dataset": "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, 4],\n [-1, -4, -3, 0],\n [3, -1, -2, -1],\n [-4, 0, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1013", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, -2, -2],\n [2, 3, 0, 2],\n [-2, 0, 0, 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": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0, 0],\n [0, -4, 4, 0],\n [0, 4, 0, -2],\n [0, 0, -2, 4]], determine the value at position (3, 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[[4, 0, 2, 2],\n [0, 1, 0, 3],\n [2, 0, 3, 0],\n [2, 3, 0, -2]]\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^2 where A is:\n[[2, 0, 4, -2],\n [0, -3, 1, 2],\n [4, 1, -2, 2],\n [-2, 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 all entries of the result:\nA =\n[[1, 2, 2, 0],\n [2, 0, -1, 4],\n [2, -1, 0, 2],\n [0, 4, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7631", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-3, -1, 1, -2],\n [-2, 4, 0, -4],\n [1, -4, 3, 1],\n [0, 3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "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, -2, 0, 1],\n [2, 0, 0, 0],\n [1, 1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "490", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 3, 4, 3],\n [-2, 1, -4, 3],\n [-1, -4, -1, 4],\n [-1, -4, -2, -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[[2, 0, 2, 0],\n [0, 4, 0, -2],\n [2, 0, -2, -1],\n [0, -2, -1, 0]], determine the sum 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 all entries of the 3th power of the matrix:\n[[2, 2, -4, 4],\n [-2, 3, 1, 1],\n [-4, -4, -2, -1],\n [-1, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-189", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -1, 3],\n [-2, -3, 0, 0],\n [-1, 0, -4, -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": "188", "dataset": "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, 1],\n [2, -4, 0, 0],\n [2, 0, 0, -2],\n [1, 0, -2, -3]]\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^4 where A is:\n[[4, 1, 3, -4],\n [-2, -3, 3, -4],\n [0, 4, 3, 2],\n [3, 0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "736", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-4, 0, -1, -2],\n [0, -1, -2, 2],\n [-1, -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": "412", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-2, -4, 1, 1],\n [-3, 3, 0, -2],\n [-2, 2, 2, -3],\n [4, 0, 2, -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 sum of all entries of the result:\nA =\n[[-3, 0, -3, -1],\n [3, -2, 0, -2],\n [-4, -2, 1, 0],\n [-3, 2, 4, -2]]\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 sum of all entries of the result:\nA =\n[[4, 2, 4, 0],\n [2, -4, -4, 4],\n [4, -4, 0, 0],\n [0, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[-4, 3, -2, 3],\n [4, 1, 0, -2],\n [3, 2, 1, -1],\n [1, 2, 2, -4]]?\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 3th power of the matrix:\n[[-3, 2, 2, 2],\n [-2, 3, -1, 3],\n [-2, 4, -3, 1],\n [-2, 0, 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[[-1, 0, 4, 2],\n [0, 2, 0, -1],\n [4, 0, -4, -1],\n [2, -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, 4) of the matrix A^2 where A is:\n[[-4, 2, 0, 1],\n [2, 1, 0, -2],\n [0, 0, 0, 2],\n [1, -2, 2, 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 all entries of the matrix A^3 where A is:\n[[4, 0, 0, 0],\n [0, 2, 3, -1],\n [0, 3, 4, -2],\n [0, -1, -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[[-1, 0, 4, 1],\n [0, 2, 1, 0],\n [4, 1, -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": "494", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-4, -1, -4, -4],\n [3, 0, -4, -4],\n [1, 0, 2, 2],\n [2, 3, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "542", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -4, 0, 2],\n [-4, 3, 3, 1],\n [0, 3, 3, 0],\n [2, 1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "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 [-2, -4, -1, 0],\n [2, -2, -2, 3],\n [1, -1, 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^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 2, 0],\n [0, 3, 1, -2],\n [2, 1, -3, 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": "For the matrix power A^4 where A =\n[[-3, 0, 0, 0],\n [0, 2, -2, -2],\n [0, -2, -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": "378", "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, -1, -2, 4],\n [-3, -2, 4, 2],\n [0, 4, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4642", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 4, 3],\n [3, 4, 0, 3],\n [-2, 3, 4, -2],\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": "714", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-4, 1, -3, 1],\n [-4, -2, 2, 4],\n [1, 0, -3, 3],\n [4, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -1, 3],\n [-1, 2, 3, -2],\n [-3, 4, -2, 3],\n [3, -4, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2022", "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, -3, -1, -2],\n [0, -1, -3, 0],\n [2, -2, 0, -2]]?\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[[2, 0, 0, 1],\n [0, -4, 0, 3],\n [0, 0, 4, -1],\n [1, 3, -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[[-2, -3, 0, 0],\n [-3, -3, -2, -2],\n [0, -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": "4635", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0, -1],\n [3, -4, -4, 0],\n [3, -2, 3, 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": "920", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[-1, -3, 1, 1],\n [-3, 4, 2, -2],\n [-4, -1, 3, -2],\n [3, -4, 3, 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^2 and find the value at position (3, 2) of the result:\nA =\n[[1, -1, 0, -1],\n [0, -1, -2, 1],\n [1, 3, 2, 3],\n [0, -4, 1, 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^2 and find the sum of all entries of the result:\nA =\n[[0, 0, -2, -2],\n [0, 0, 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": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the 2th power of the matrix:\n[[-3, -4, -2, 0],\n [-4, 1, 0, -3],\n [-2, 0, 2, 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": "What is the value at position (2, 4) of the matrix A^2 where A is:\n[[-3, 2, 4, 2],\n [2, 3, 2, -2],\n [4, -1, -1, -2],\n [0, -2, -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^2 where A =\n[[0, 0, -3, 4],\n [0, 1, 2, 2],\n [-3, 2, -1, -1],\n [4, 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": "132", "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, -1, 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": "13188", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the 2th power of the matrix:\n[[-3, -1, 0, -3],\n [-1, 4, 3, 1],\n [1, 3, 0, -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": "For the matrix power A^3 where A =\n[[-3, -2, 4, 4],\n [1, -1, -2, 1],\n [-3, 2, 1, 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": "180", "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, 0],\n [0, 0, 4, -1],\n [0, 0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^4 where A is:\n[[2, 2, 0, 2],\n [2, -4, 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": "5309", "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 [3, -4, -2, 2],\n [-2, 2, -2, -2],\n [-4, 0, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "507", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -2, 0, -1],\n [-2, 3, 1, -2],\n [0, 1, 0, 2],\n [-1, -2, 2, -4]]\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[[4, 1, 1, -1],\n [-4, 2, 3, 1],\n [-4, -4, -1, 2],\n [-1, -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 value at position (3, 4) of the matrix A^4 where A is:\n[[1, -2, -3, 2],\n [-2, -4, -1, 0],\n [-3, -1, 0, -3],\n [2, 0, -3, -4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "257", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-3, -4, 4, 2],\n [-4, -2, 0, 2],\n [4, 0, 0, -2],\n [2, 2, -2, 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^4 where A =\n[[1, -2, 2, 2],\n [-2, 2, 2, -1],\n [2, 2, 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": "1695", "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 [-2, -3, 0, -1],\n [-1, 0, -2, -2],\n [2, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 2th power of the matrix:\n[[4, 2, -3, -1],\n [3, -1, -4, 3],\n [2, -3, 1, 0],\n [-2, -4, -1, -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 2th power of the matrix:\n[[-4, 2, -1, 2],\n [2, 3, -2, 4],\n [-1, -2, 4, 0],\n [2, 4, 0, 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^3 where A =\n[[1, 3, -2, -4],\n [-1, -2, 1, -2],\n [-4, 4, 4, 3],\n [-1, 1, 3, 2]], determine the value at position (3, 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^4 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2, 2],\n [2, 3, -2, 2],\n [2, -2, 0, -3],\n [2, 2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1820", "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, 0],\n [-1, 1, 2, 4],\n [2, 2, 1, 0],\n [0, 4, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6187", "dataset": "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 [-3, 1, 2, -3],\n [-4, 1, -2, 1],\n [-3, 1, 2, 2]]\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^2 where A is:\n[[1, 0, 2, 0],\n [0, -2, 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": "85", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 4th power of the matrix:\n[[-1, -1, 2, -4],\n [1, -1, -4, -3],\n [4, 0, -3, -4],\n [3, -1, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4606", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 0, 0],\n [0, 3, -2, 2],\n [0, -2, 2, 1],\n [0, 2, 1, 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": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, -2, 4],\n [4, -1, -4, -4],\n [4, -1, -3, 3],\n [-4, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 4th power of the matrix:\n[[4, 4, 3, 4],\n [2, 1, -4, 2],\n [-1, -1, 4, -3],\n [-3, -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^2 where A =\n[[-2, -3, -1, 3],\n [-3, 1, 1, -2],\n [4, -3, -4, 4],\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": "94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 4, -3, -1],\n [2, 1, 0, 1],\n [-4, 4, 1, 4],\n [0, 2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "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, 4, 1, 4],\n [-1, -3, 0, 1],\n [-3, -3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[0, -2, 3, 2],\n [-2, 3, -3, -2],\n [3, -3, 0, 0],\n [2, -2, 0, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0, 0],\n [-1, 0, 3, 4],\n [-1, -1, -3, -4],\n [4, 0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "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, -1, -1],\n [-2, 4, -4, -3],\n [4, -2, 2, 3],\n [-3, -3, 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, 1) of the 3th power of the matrix:\n[[4, 2, 0, 0],\n [2, -1, -1, 2],\n [0, -1, 1, 3],\n [0, 2, 3, 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 (3, 3) of the matrix A^4 where A is:\n[[-4, -3, 1, 4],\n [1, 2, 2, 4],\n [1, -1, 2, -2],\n [-3, -1, 1, -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 (3, 3) of the result:\nA =\n[[-4, -3, -2, 1],\n [-3, -3, -1, 1],\n [-2, -1, 3, 0],\n [1, 1, 0, 2]]\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, 4) of the 3th power of the matrix:\n[[1, 0, -1, -2],\n [0, 4, 1, -2],\n [-1, 1, -4, -2],\n [-2, -2, -2, 0]]\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^4 where A is:\n[[-3, -3, 0, -1],\n [-3, 0, 0, -3],\n [0, 0, -1, -2],\n [-1, -3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4077", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, 0, 2],\n [2, 0, 0, 4],\n [0, 0, -3, -3],\n [2, 4, -3, -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^3 where A is:\n[[-4, 2, -3, -1],\n [2, -1, 0, 1],\n [-3, 0, 3, -2],\n [-1, 1, -2, -4]]?\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[[4, -2, 2, 0],\n [1, -4, -2, -4],\n [1, 2, 0, 3],\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": "1972", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -2, 0, -1],\n [-2, 1, -2, -1],\n [0, -2, 2, 0],\n [-1, -1, 0, 0]]?\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, -1, 0, 2],\n [-1, 2, -1, 0],\n [0, -1, 4, 0],\n [2, 0, 0, 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 all entries of the matrix A^2 where A is:\n[[-1, 2, 0, -2],\n [2, 3, 0, 0],\n [0, 0, -4, 2],\n [-2, 0, 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[[1, -2, 1, -4],\n [-2, -4, -2, 2],\n [1, -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": "-469", "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, 0],\n [0, -4, -2, -4],\n [-2, 3, 4, 1],\n [3, -4, 4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14558", "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 [1, -4, -1, 3],\n [3, 1, 4, 2],\n [1, 1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4838", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[1, 4, 0, 1],\n [-2, 3, 4, -4],\n [-4, -4, 2, 2],\n [3, 0, -4, -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^3 where A =\n[[-4, 2, -2, 0],\n [2, 4, 1, 3],\n [-2, 1, 1, -2],\n [0, 3, -2, -4]], determine the value at position (1, 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[[2, -3, -2, -3],\n [1, -1, 3, -3],\n [-3, -2, -3, 0],\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": "244", "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 [4, 1, 3, -1],\n [4, -2, -3, 2],\n [4, -4, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1132", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 0, 0],\n [0, 0, 2, 2],\n [0, 2, -1, -3],\n [0, 2, -3, 0]], 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": "For the matrix power A^3 where A =\n[[-4, 2, 1, -2],\n [2, 2, 0, -2],\n [1, 0, 2, -2],\n [-2, -2, -2, -1]], determine the value at position (3, 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[[4, -3, 4, 0],\n [-3, 1, -4, -1],\n [4, -4, 1, 2],\n [0, -1, 2, 4]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3670", "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, 0, -2],\n [0, 0, 1, 2],\n [2, -2, 2, -3]]\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^2 where A is:\n[[-3, 3, 0, 0],\n [3, 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": "98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 4, 1, -1],\n [4, -4, 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": "210", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, -4, -3, 1],\n [-3, 3, -2, 4],\n [4, -4, 2, 4],\n [-3, 2, -4, -3]], determine the value at position (4, 1).\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 3th power of the matrix:\n[[0, 3, -3, -4],\n [0, 0, 0, 0],\n [-4, 3, -3, 4],\n [3, -2, -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^2 where A is:\n[[-3, 0, 0, -2],\n [0, -1, -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": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[4, -4, -4, 4],\n [3, -3, 3, 4],\n [2, -3, -3, 0],\n [3, 1, -2, -2]], 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 all entries of the result:\nA =\n[[1, 3, -3, 4],\n [-1, -4, 4, -2],\n [-4, -1, -3, -3],\n [0, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1364", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 4th power of the matrix:\n[[-4, 0, -2, 0],\n [0, -3, -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": "898", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, 4, -2],\n [0, 3, 2, 2],\n [4, 2, 4, 4],\n [-2, 2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the 3th power of the matrix:\n[[-4, -3, -4, 1],\n [-3, -3, -3, 0],\n [-4, -3, 4, 2],\n [1, 0, 2, -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^3 where A =\n[[2, -4, 3, 0],\n [1, 4, -2, -1],\n [-1, -3, -4, -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": "1417", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[4, 1, 0, 2],\n [1, 0, 0, 0],\n [0, 0, 2, -2],\n [2, 0, -2, -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 all entries of the result:\nA =\n[[-2, 0, 3, 4],\n [0, 2, 0, -1],\n [3, 0, 0, 0],\n [4, -1, 0, -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^2 where A =\n[[-4, -2, 0, 1],\n [-2, 3, -3, 1],\n [0, -3, 2, -3],\n [1, 1, -3, 2]], determine the value at position (1, 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^2 where A is:\n[[1, 2, 2, 0],\n [2, -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": "109", "dataset": "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, 0, 1],\n [-3, -2, -2, -2],\n [0, -2, 0, 0],\n [1, -2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4669", "dataset": "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, 0, 3, 2],\n [2, 3, 4, -2],\n [0, 2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "782", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, 1, 2, 2],\n [1, 1, -3, 0],\n [2, -3, -4, 0],\n [2, 0, 0, 0]], determine the value at position (4, 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^2 and find the value at position (1, 4) of the result:\nA =\n[[3, -2, -2, -4],\n [-2, -1, -2, -2],\n [-2, -2, 0, 0],\n [-4, -2, 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[[-4, 4, -1, -3],\n [2, 4, 1, -4],\n [-2, -2, 3, 4],\n [-2, -4, -1, -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 value at position (2, 4) of the result:\nA =\n[[0, 1, 1, 4],\n [4, -1, -1, 3],\n [0, 0, -1, -3],\n [-2, -4, -1, 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 (1, 3) of the result:\nA =\n[[4, 4, 4, -3],\n [2, -1, 4, 4],\n [-2, -4, 1, -1],\n [0, 1, 2, 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^3 and find the value at position (1, 4) of the result:\nA =\n[[1, 0, 2, -4],\n [0, -4, -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": "-160", "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, 4],\n [-4, 1, 2, 1],\n [-4, 0, -4, 0],\n [-2, 4, 4, -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^2 where A =\n[[3, 4, -2, 4],\n [0, 1, -4, 3],\n [-4, -2, -2, 4],\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": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, -4, 1, 3],\n [-3, 4, 1, 1],\n [-2, 0, 3, -2],\n [4, 0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[1, 1, 0, 2],\n [1, 3, 3, 2],\n [0, 3, 1, 0],\n [2, 2, 0, 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^2 where A is:\n[[1, 4, -2, -1],\n [-3, 2, 2, 2],\n [4, 0, 0, 3],\n [4, 0, 2, -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[[-4, 0, 4, -4],\n [4, 0, -4, -4],\n [-2, 0, 2, -2],\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": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 1, -4, 0],\n [1, 2, 1, 1],\n [3, -1, -1, 1],\n [4, 3, -4, 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[[4, 0, -1, -3],\n [0, -2, -3, 2],\n [-1, -3, -4, 2],\n [-3, 2, 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 absolute values of all entries of the 4th power of the matrix:\n[[4, -4, -3, 1],\n [-1, -3, 0, -4],\n [2, -4, 1, -2],\n [-4, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8831", "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, 3, -1],\n [-4, 3, -1, 0],\n [-2, 1, 1, 2],\n [-4, -1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 4th power of the matrix:\n[[3, -2, 2, -2],\n [-2, -4, 2, 3],\n [2, 2, 2, 1],\n [-2, 3, 1, -2]]\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 2th power of the matrix:\n[[1, 3, 0, 4],\n [-3, 0, -4, 3],\n [1, -2, 3, 2],\n [-2, -4, -1, 4]]\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[[2, 3, 0, -2],\n [3, 1, 2, 2],\n [0, 2, 0, 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": "1897", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[0, -2, 0, -3],\n [-2, -4, -3, -4],\n [0, -3, -2, 0],\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": "28635", "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 [3, -3, 4, 1],\n [-2, -2, -3, 4],\n [0, 0, 0, 1]]?\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, 4) of the 3th power of the matrix:\n[[2, 3, -2, 4],\n [2, 2, -3, 1],\n [-2, 3, 1, 4],\n [1, -4, -3, -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^2 and find the value at position (3, 4) of the result:\nA =\n[[4, -2, -2, 2],\n [4, 1, 1, -4],\n [4, 3, 4, 0],\n [-1, 0, -3, 2]]\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[[0, -2, -2, 0],\n [0, 1, 2, -3],\n [3, 0, 3, -2],\n [-1, 2, -1, 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[[-1, 1, 4, -1],\n [1, -3, -2, 1],\n [4, -2, 3, 1],\n [-1, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "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, -3, -4],\n [2, 0, -4, 1],\n [-1, 3, -3, 4],\n [-2, -2, -4, -4]]\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 (4, 3) of the matrix A^3 where A is:\n[[-1, -2, 3, -2],\n [-2, 4, 2, 3],\n [3, 2, 3, 0],\n [-2, 3, 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[[-3, 4, 0, 0],\n [4, -1, 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": "4319", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 2, 0],\n [0, 3, 0, 0],\n [2, 0, 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": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 0, -4],\n [1, 1, 0, 3],\n [-1, 3, -1, 1],\n [1, 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": "165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 2, 2, 0],\n [2, 2, 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": "73", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (2, 3) of the result:\nA =\n[[3, -1, 0, -3],\n [-4, 2, 4, -3],\n [-2, 4, -2, -4],\n [-4, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "502", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 2, -3, 4],\n [-4, 4, 1, -1],\n [3, 2, -2, -3],\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": "792", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -4, -1, 4],\n [-3, 0, 1, -3],\n [1, 2, -3, 1],\n [-2, -2, -2, -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 2th power of the matrix:\n[[-1, -2, 0, -1],\n [-2, -4, 1, 0],\n [0, 1, 1, 1],\n [-1, 0, 1, -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^3 where A =\n[[4, -2, 4, 0],\n [-2, -2, 2, 0],\n [4, 2, -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": "-72", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the 4th power of the matrix:\n[[2, 2, 0, 0],\n [2, -4, -2, -1],\n [0, -2, -1, -2],\n [0, -1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[4, 0, 3, 2],\n [-1, -3, -1, 0],\n [-3, 0, -2, -3],\n [-2, -3, 0, -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[[-3, 0, 0, 0],\n [0, 1, -2, 0],\n [0, -2, 2, 1],\n [0, 0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "732", "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, -2],\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": "2328", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) of the matrix A^2 where A is:\n[[2, 0, -1, 2],\n [-3, 0, 0, 0],\n [4, -1, -3, -2],\n [1, 1, -2, 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[[4, -4, -1, 1],\n [2, -2, 0, 0],\n [3, 0, 0, 1],\n [-3, -2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "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, 0, -3],\n [-1, 1, -3, 4],\n [1, -3, 4, 2],\n [-1, 1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5450", "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, -4],\n [-2, -1, -4, 0],\n [0, -4, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, -1, -3, -2],\n [4, 1, -2, -3],\n [1, 4, -2, 1],\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": "2860", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (4, 3) of the result:\nA =\n[[-2, -2, 1, -4],\n [-3, -1, -1, 3],\n [-4, 2, 3, -1],\n [-4, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[4, 2, -4, 0],\n [-3, 3, 1, -3],\n [-3, -3, -3, -2],\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 all entries of the matrix A^4 where A is:\n[[-3, 0, 2, 2],\n [0, 0, -1, -1],\n [2, -1, -1, 3],\n [2, -1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2029", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-4, 1, -2, 0],\n [1, -3, -2, 0],\n [-2, -2, 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": "161", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-4, 1, -1, 1],\n [1, -1, -2, 2],\n [-1, -2, 1, -2],\n [1, 2, -2, -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^3 where A =\n[[-3, 2, 2, -3],\n [-1, 4, 3, 2],\n [3, 1, 3, 4],\n [-2, -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": "1324", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-2, 3, -2, 4],\n [-1, 2, -2, -1],\n [-3, 3, 0, -2],\n [-4, 1, -2, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-4, 0, 2, 1],\n [0, -3, 4, 2],\n [2, 4, 0, 0],\n [1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-4, 1, 0, 2],\n [1, 1, 0, -2],\n [0, 0, -1, 2],\n [2, -2, 2, -3]]\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, 1) of the 4th power of the matrix:\n[[0, 0, 2, 1],\n [0, -3, 1, 0],\n [2, 1, 1, 2],\n [1, 0, 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^4 where A =\n[[4, -4, 0, 4],\n [-4, 0, 3, 0],\n [0, 3, -1, -1],\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": "15595", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[2, 0, -2, -3],\n [0, 3, 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": "594", "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 [0, 2, 4, -1],\n [-2, 3, 1, -3],\n [3, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1086", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 4th power of the matrix:\n[[0, 4, 0, 3],\n [0, 0, -3, 4],\n [-4, -2, 2, 0],\n [-1, -3, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1833", "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, -4],\n [-3, -1, 3, 2],\n [0, -2, 2, 2],\n [0, -4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[1, 1, -3, -1],\n [1, -3, 0, 4],\n [-3, 0, 3, 2],\n [-1, 4, 2, 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^4 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 4, 2, 4],\n [4, -2, 0, 2],\n [2, 0, -1, 4],\n [4, 2, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28189", "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, 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": "4772", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^4 where A =\n[[-4, 0, -2, -3],\n [0, 3, -4, -4],\n [-2, -4, 0, -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": "12459", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 2, 0, 0],\n [0, 0, 3, 0],\n [4, -1, -4, -3],\n [-1, -3, 0, -4]]?\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, -2, 0, 2],\n [-2, 2, 3, -2],\n [0, 3, -2, -2],\n [2, -2, -2, -3]]?\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 (1, 1) of the matrix A^4 where A is:\n[[-4, 1, 0, 3],\n [0, -1, -2, 2],\n [-3, -3, 2, -1],\n [-3, -1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-362", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, -3, 4],\n [-3, 1, 3, 1],\n [-1, -4, 1, -1],\n [-4, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) of the matrix A^4 where A is:\n[[1, 2, 0, -1],\n [2, 2, -2, -4],\n [0, -2, -2, 1],\n [-1, -4, 1, -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, 0],\n [1, 0, 4, 0],\n [2, 4, -2, -1],\n [0, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1468", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the 2th power of the matrix:\n[[2, 0, 2, -2],\n [0, -1, -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": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 1, -2, 3],\n [-1, 0, -2, -4],\n [0, 4, -4, 0],\n [1, -4, -4, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "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 [3, 2, 3, -3],\n [-2, 0, 1, -3],\n [4, -4, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[1, 2, 0, 0],\n [2, 0, 0, 0],\n [0, 0, -1, 0],\n [0, 0, 0, 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^3 and find the sum of all entries of the result:\nA =\n[[3, 4, 2, 1],\n [1, 2, -3, -4],\n [0, 2, -1, -4],\n [-3, 1, 4, 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 (4, 2) of the matrix A^2 where A is:\n[[3, 2, 4, -1],\n [4, 4, 4, 4],\n [-2, 4, -3, -3],\n [3, 2, 1, 3]]?\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 2th power of the matrix:\n[[0, 0, 0, 4],\n [0, 0, 0, 0],\n [0, 0, -4, -4],\n [4, 0, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[1, -2, 1, -1],\n [-1, -4, 4, -2],\n [0, 3, 4, 1],\n [1, -2, 2, 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^2 where A is:\n[[4, 0, -2, -1],\n [0, 1, 2, 0],\n [-1, -3, 0, 2],\n [4, 4, 0, -4]]?\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 2th power of the matrix:\n[[1, -3, -2, -2],\n [-3, 2, 2, -3],\n [-2, 2, 2, 1],\n [-2, -3, 1, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[4, 1, 3, 1],\n [1, 2, -1, 2],\n [3, -1, 1, 0],\n [1, 2, 0, -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[[3, -2, 1, 2],\n [-2, 2, -1, 0],\n [1, -1, -4, -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": "1454", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 4th power of the matrix:\n[[4, -2, -1, 0],\n [-2, 3, 1, 0],\n [-1, 1, 0, 2],\n [0, 0, 2, -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^4 where A is:\n[[3, -3, 0, 2],\n [-4, 3, -1, 1],\n [-4, 0, -3, -4],\n [-2, 4, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6170", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, -2, 2],\n [2, -2, -1, -2],\n [-2, -1, 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": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^4 and find the value at position (4, 4) of the result:\nA =\n[[-3, -1, 2, -4],\n [-1, 1, 3, 1],\n [4, -2, -4, 3],\n [1, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1138", "dataset": "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, -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": "6347", "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 [4, 2, 4, -3],\n [2, -2, 3, 4],\n [3, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1297", "dataset": "MATH"}