{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 3],\n [-3, 3, 2],\n [-3, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "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, 0, 0],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -1, 1],\n [1, -3, -1],\n [-2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 0, 0],\n [0, 1, 0],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -3],\n [0, -2, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 0],\n [-1, 1, 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": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, -2],\n [0, 0, 0],\n [-2, 0, -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, 1) of the 2th power of the matrix:\n[[-1, 3, 0],\n [3, 3, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2],\n [-2, -3, 0],\n [2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, 1],\n [0, -3, 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": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, -2],\n [1, 1, -1],\n [-2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 1, 0],\n [0, -3, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -2, 2],\n [2, -2, -3],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, -2],\n [-3, 2, -2],\n [0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, -2],\n [0, -1, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 1],\n [0, 0, -2],\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": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, -2],\n [0, 0, 2],\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": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, -3],\n [0, 0, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 1],\n [2, 1, -1],\n [1, -1, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, 0],\n [1, 0, 1],\n [0, 3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 3],\n [0, 1, 2],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 2],\n [0, 2, 0],\n [2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, 1],\n [-2, 1, 2],\n [2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[2, -3, -1],\n [0, 2, -1],\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 value at position (3, 3) of the result:\nA =\n[[3, -1, 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": "For the matrix power A^2 where A =\n[[-1, 1, 0],\n [1, -3, 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": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[1, 2, 1],\n [-2, 0, 1],\n [1, -3, 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 (3, 2) of the result:\nA =\n[[-2, 0, -2],\n [0, 3, 2],\n [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^3 where A =\n[[1, 2, 1],\n [2, 2, 0],\n [1, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[2, -1, 3],\n [-1, -2, 3],\n [3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -3, 1],\n [0, -1, -2],\n [1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 1],\n [0, 2, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, -2],\n [3, 0, -2],\n [2, 0, 3]], determine the value at position (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 absolute values of all entries of the 3th power of the matrix:\n[[1, 0, -1],\n [0, -2, -2],\n [-1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\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": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 1],\n [0, 2, -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": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 1],\n [0, 2, -2],\n [1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -1, 3],\n [-1, 3, 1],\n [0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[-3, -2, 0],\n [-2, 0, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, -3, 2],\n [0, -3, -3],\n [-2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[0, 1, 0],\n [1, -2, 3],\n [0, 3, -2]]?\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[[2, 2, -3],\n [2, -2, -2],\n [-3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -3, 0],\n [3, 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": "For the matrix power A^2 where A =\n[[-2, -2, 2],\n [2, 0, -3],\n [3, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, -3],\n [0, -3, 2],\n [0, 0, -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^3 where A =\n[[-2, 3, 3],\n [0, 0, 3],\n [0, 0, 0]], 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": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 1, 1],\n [1, -2, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 0],\n [2, 0, 3],\n [2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 0],\n [-3, -2, 0],\n [1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 1],\n [0, -3, 0],\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[[2, -1, 0],\n [0, -3, -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": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 1],\n [-1, 1, 3],\n [1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 2, 0],\n [1, 3, 3],\n [3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2],\n [3, 3, -1],\n [2, 2, 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[[3, 0, 2],\n [3, 0, -1],\n [-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": "117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, 0],\n [-1, 0, 2],\n [-2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 0, 1],\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[[-1, -3, -2],\n [0, 2, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 0],\n [3, -2, -3],\n [-1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 0],\n [0, -1, 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": "78", "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, 3, -1],\n [2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 1, 2],\n [0, 0, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -3, 0],\n [0, -3, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -3, -3],\n [0, 3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [0, 1, 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": "19", "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],\n [0, 3, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 0],\n [-3, 3, 3],\n [3, -2, -1]], 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": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, 2, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[0, 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": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -2, 0],\n [0, 0, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\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": "36", "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, 2, -3],\n [0, -2, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[2, -2, -3],\n [0, -2, 1],\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^3 where A =\n[[-1, 0, 0],\n [0, 2, -3],\n [0, -3, 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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2],\n [0, 2, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-2, -3, 1],\n [-3, 2, 3],\n [3, -1, -1]]?\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 2th power of the matrix:\n[[1, 0, -1],\n [0, 3, -2],\n [-1, -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 2th power of the matrix:\n[[0, 0, 0],\n [0, -1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2],\n [-1, 0, -3],\n [2, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 0],\n [2, -2, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, 2],\n [0, -3, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 0],\n [-2, -1, 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": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 1],\n [0, -1, 0],\n [1, 0, -3]], 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^2 where A =\n[[2, 0, -2],\n [0, -1, -1],\n [-2, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, 2],\n [1, -3, 0],\n [0, 0, 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 1, 2],\n [1, -1, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, -3, 1],\n [0, 3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -2, 1],\n [0, 2, 1],\n [0, 0, 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[[0, 0, -2],\n [0, 2, 2],\n [-2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 0, -1],\n [0, 3, 0],\n [-1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[2, 2, 3],\n [-1, -3, 0],\n [3, 3, -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[[0, 3, -3],\n [0, -2, -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": "-13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0],\n [2, 3, 2],\n [0, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "389", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, 2],\n [0, 2, -1],\n [2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 0],\n [2, -3, -2],\n [0, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, -2],\n [0, -2, -3],\n [-1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 1, -2],\n [0, -3, 1],\n [2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, -2],\n [0, 0, 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^2 where A =\n[[-1, 0, 0],\n [0, -2, 2],\n [0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 0],\n [-3, 0, 3],\n [-2, -1, 3]], 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 value at position (2, 3) of the result:\nA =\n[[-2, 3, -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^2 and find the value at position (1, 2) of the result:\nA =\n[[-3, -1, -1],\n [-1, 0, -2],\n [-1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -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": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -2, -2],\n [-2, -3, 0],\n [-3, 3, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 2],\n [-1, -2, -3],\n [-1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\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": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-2, 2, -2],\n [3, 3, -2],\n [-2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 3, 0],\n [-3, -1, 0],\n [0, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 1, -3],\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": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, 3, 1],\n [0, -1, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[1, 1, -2],\n [-3, 1, 0],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 0, -1],\n [0, 0, 0],\n [-1, 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[[-2, 2, 0],\n [2, 2, -3],\n [0, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, -2],\n [1, -3, 3],\n [-2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 1],\n [0, -3, 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": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 1],\n [0, 1, -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": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, 2],\n [-3, -3, 1],\n [2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[1, 2, -2],\n [0, 3, -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 3th power of the matrix:\n[[0, -3, 2],\n [3, -2, 0],\n [-1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 1, 2],\n [2, 2, -1],\n [2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, -2, 1],\n [3, 0, -2],\n [-2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 2],\n [-2, 2, 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": "161", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [0, -3, -2],\n [-2, -2, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 3],\n [0, 0, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 2],\n [0, 0, 2],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0],\n [3, 0, -1],\n [-1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-1, -2, 3],\n [-2, 0, 0],\n [3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -2, 1],\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": "For the matrix power A^3 where A =\n[[-2, 2, 1],\n [2, 1, 0],\n [1, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 3],\n [-1, -3, 3],\n [-2, 2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 2],\n [0, -2, 1],\n [2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, 2, 3],\n [0, 2, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, -3],\n [-2, 3, -2],\n [-3, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -2, -3],\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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 2, -2],\n [2, 3, 1],\n [0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-1, 3, -1],\n [-3, -2, 3],\n [1, 2, -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[[-1, 0, -2],\n [-2, -3, 3],\n [-3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, 3],\n [-1, 2, -2],\n [-1, 2, -3]], 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 absolute values of all entries of the 2th power of the matrix:\n[[1, 1, 2],\n [1, 1, -1],\n [-1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, -2, 0],\n [-2, 3, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 2, -2],\n [1, -3, 3],\n [2, 0, -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^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, -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^2 and find the value at position (1, 1) of the result:\nA =\n[[0, 0, 1],\n [0, -1, -3],\n [1, -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^3 where A is:\n[[2, 2, -2],\n [3, 1, -2],\n [1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 2],\n [1, 0, 3],\n [2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2],\n [2, -3, -2],\n [-2, -2, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 2, -1],\n [3, -3, -3],\n [-1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -2, 2],\n [-2, 1, 0],\n [2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-3, 3, -3],\n [0, 0, 3],\n [2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 1],\n [0, 1, 2],\n [0, 0, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -3],\n [0, -2, 3],\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": "98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 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": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 0],\n [2, -1, -3],\n [0, -3, -2]]\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, 3) of the 3th power of the matrix:\n[[2, 0, -1],\n [0, 1, 1],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 2],\n [0, 3, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 3],\n [1, -2, 3],\n [-2, -2, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-2, 2, 3],\n [2, 2, 1],\n [3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, -2],\n [3, -1, -3],\n [-2, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -1, 1],\n [-1, 2, 0],\n [1, 0, 1]]\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[[0, -1, 0],\n [-1, 0, -2],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, -3],\n [0, 0, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[0, -3, 2],\n [0, 0, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 0],\n [0, 3, 2],\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 sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, -2],\n [2, 1, 0],\n [-2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 3],\n [3, 0, 0],\n [-3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, -2, 1],\n [-2, 1, 2],\n [1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 3, -1],\n [0, -2, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, -1],\n [0, 3, 0],\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": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -1],\n [0, -2, 1],\n [-1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-2, 3, -1],\n [0, 2, -3],\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 2th power of the matrix:\n[[-2, -2, 3],\n [3, 2, 1],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[0, 2, 0],\n [2, -3, 0],\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[[0, -2, 3],\n [0, 1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 2],\n [2, 0, 1],\n [2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, -2, 0],\n [-2, -3, -2],\n [2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, -2],\n [1, -3, 0],\n [-2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0],\n [1, 1, -1],\n [1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, -2],\n [-2, -1, 0],\n [-2, 0, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-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": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 2, -2],\n [0, 3, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[1, -2, 3],\n [0, 1, 2],\n [0, 0, 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 3th power of the matrix:\n[[3, 2, 1],\n [2, 1, 1],\n [1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, -1],\n [0, -2, 2],\n [0, 0, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[0, 0, -3],\n [0, 3, 0],\n [-3, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -1],\n [0, 2, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, -1, 3],\n [0, 0, 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[[-2, 1, 0],\n [0, 1, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[2, 1, 2],\n [-1, 0, 1],\n [3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 2],\n [0, 1, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -2],\n [3, -3, 0],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -3],\n [-2, 1, 2],\n [3, 2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, -1],\n [-2, 3, -1],\n [-1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 2, -3],\n [0, -2, 0],\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^3 where A =\n[[0, -3, -1],\n [3, -3, -2],\n [-1, 0, -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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -2],\n [-2, 1, -2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2],\n [0, 3, -1],\n [-2, -1, -3]]\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^3 where A is:\n[[2, -2, 2],\n [-3, 0, 1],\n [1, 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 absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 0],\n [0, 1, 1],\n [0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 1],\n [1, 0, 2],\n [-3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 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^3 and find the sum of absolute values of all entries 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": "183", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 0],\n [0, 0, 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": "181", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, -2],\n [-1, 0, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, -3, 3],\n [0, 0, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, 3, 0],\n [0, -1, 3],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2],\n [0, -1, -1],\n [2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -1, 0],\n [0, 1, -2],\n [-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[[-2, 0, -2],\n [1, 3, -1],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-2, 2, 2],\n [0, 0, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -3],\n [0, 1, 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": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-2, 1, -2],\n [0, 1, 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 sum of all entries of the 2th power of the matrix:\n[[0, -1, 0],\n [0, -1, -2],\n [0, 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 3th power of the matrix:\n[[1, 3, 1],\n [0, 3, -3],\n [-3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "723", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 1],\n [0, -3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\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": "-34", "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, 3, -2],\n [3, 1, 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^3 where A =\n[[0, 2, -3],\n [0, 2, -3],\n [0, 0, -1]], 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^2 where A =\n[[0, 0, 2],\n [0, 1, 3],\n [2, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "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, -3],\n [0, 3, 2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, -1, 1],\n [3, -2, -3],\n [3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 2],\n [0, 1, 2],\n [2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "287", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -2, -1],\n [-2, 3, 0],\n [-1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -2, 3],\n [3, 2, -2],\n [-2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -2],\n [0, -1, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[3, 2, -1],\n [2, 0, 0],\n [-1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0],\n [-2, 1, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 2],\n [2, -1, -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": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 0],\n [-2, -3, -1],\n [0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-3, 2, 1],\n [2, -1, 1],\n [1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -1, 0],\n [0, 2, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-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": "119", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, 2],\n [1, -3, 0],\n [2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "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, -3],\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": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[2, 0, -2],\n [1, 1, -2],\n [-1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -3],\n [1, 3, 1],\n [3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, 3, 1],\n [3, -3, -2],\n [-1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 1],\n [0, -2, 1],\n [0, 0, 2]], 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": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[3, 0, 2],\n [0, -1, 1],\n [2, 1, 0]]\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[[0, 0, -1],\n [0, 0, -2],\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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 2],\n [2, 1, 1],\n [3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 0],\n [1, 0, -2],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 0],\n [2, 3, -1],\n [0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 2],\n [0, 2, -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": "211", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\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": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, -1],\n [0, 0, -1],\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": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, -3],\n [0, 2, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, -2, 3],\n [0, 3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [2, 3, -1],\n [3, 2, -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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -1, 0],\n [-1, 0, 2],\n [0, 2, -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^2 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, -2],\n [2, 0, -2],\n [-2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -3],\n [0, 1, -2],\n [-3, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 0],\n [1, -3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 3],\n [0, 1, -2],\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": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 3],\n [-2, 3, -1],\n [3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 1, 0],\n [1, -1, 1],\n [0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 0, 2],\n [0, 2, -2],\n [2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -1],\n [2, -2, -2],\n [-1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0],\n [-3, 1, 0],\n [-3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, -1, -3],\n [0, 3, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, 0],\n [2, -1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 1],\n [-3, -2, -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": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -2],\n [3, -2, 2],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "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, 2, 0],\n [2, -2, 0],\n [0, 0, -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^2 and find the value at position (3, 1) of the result:\nA =\n[[-3, -1, 0],\n [-1, 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, 0],\n [3, 0, 1],\n [0, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, -1, -2],\n [0, 2, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -2],\n [0, -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": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 1, 1],\n [0, 3, 0],\n [1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[1, 3, -3],\n [-3, 0, 3],\n [1, 0, -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^3 where A =\n[[3, 0, 1],\n [0, -1, 2],\n [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": "213", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 0],\n [-2, -3, 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": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0],\n [0, 0, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -1],\n [-2, 1, 1],\n [-1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, 1, 3],\n [0, 3, 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 sum of all entries of the 3th power of the matrix:\n[[-2, 2, 3],\n [2, 1, -3],\n [3, 1, 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[[-3, -2, -3],\n [0, 0, 0],\n [0, 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^3 where A =\n[[0, 3, -3],\n [-1, 0, 3],\n [-1, -3, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 3],\n [2, 3, 2],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 1],\n [0, 2, 3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-1, 1, 1],\n [-2, 0, -3],\n [-2, 2, 2]]?\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, -3, 3],\n [-1, 3, 1],\n [1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 3],\n [-2, 0, 0],\n [-2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 1],\n [0, -2, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[3, 2, -2],\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": "For the matrix power A^3 where A =\n[[2, -2, 0],\n [-2, -3, 2],\n [0, 2, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -1],\n [-3, -3, -1],\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": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, -1],\n [-2, 3, 1],\n [-2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, -2],\n [-3, -1, -2],\n [-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": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -3, 3],\n [0, 2, 3],\n [0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 0],\n [-1, -2, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -2],\n [2, 2, 2],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) 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": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, 0],\n [0, 1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2],\n [-2, -3, 3],\n [1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, -2, 1],\n [-1, -2, -2],\n [-1, 0, 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 3th power of the matrix:\n[[-2, -3, -2],\n [-1, 3, -1],\n [-3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, -1],\n [0, 2, -3],\n [-3, 1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 3],\n [0, 0, -1],\n [-3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-2, -2, -3],\n [-2, 1, -2],\n [-3, -2, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, -3],\n [0, -2, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 1],\n [-1, 0, 3],\n [1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, -2],\n [0, 0, 3],\n [0, 0, 2]], 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": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-1, 2, 0],\n [2, 1, -1],\n [0, -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^3 where A is:\n[[2, -1, -1],\n [0, 2, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 2],\n [-2, 1, -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": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 3],\n [3, 3, 0],\n [1, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, -1, 1],\n [0, -2, -2],\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^3 where A =\n[[-1, 2, -1],\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": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -1, 1],\n [0, 2, -1],\n [0, 0, -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^3 and find the value at position (2, 1) of the result:\nA =\n[[-1, -2, 3],\n [0, -3, 2],\n [0, 0, 0]]\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, 2) of the 3th power of the matrix:\n[[-1, 0, 1],\n [0, 3, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -2],\n [2, 0, 1],\n [1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 0, -1],\n [0, -1, 1],\n [-1, 1, 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^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 1],\n [1, 0, 0],\n [2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0],\n [-3, -3, 3],\n [2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "285", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, -3],\n [0, -1, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, -1, 2],\n [-2, 1, 0],\n [-3, 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^2 where A is:\n[[2, -1, 3],\n [-2, 3, -2],\n [3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\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": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-1, -2, -3],\n [0, 2, 1],\n [1, 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^2 where A =\n[[-3, -3, -2],\n [0, 0, -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": "42", "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, 2, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[3, 1, -1],\n [-2, 1, -1],\n [-1, 3, -2]]\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[[-1, 3, 2],\n [0, 1, -2],\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 sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, 2],\n [1, 0, 3],\n [2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -1],\n [2, 3, 2],\n [-1, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, 0],\n [0, 1, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 3],\n [0, 1, 0],\n [0, 0, 3]], 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 absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 0],\n [0, 1, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 3, -1],\n [0, 2, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 0],\n [2, 3, -2],\n [0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[1, 3, 1],\n [0, 2, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 0],\n [-1, 2, -2],\n [0, -2, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -3, 1],\n [3, -1, 1],\n [1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0],\n [0, 1, 2],\n [0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, -1],\n [0, 3, -1],\n [-1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[3, 2, -3],\n [0, -1, -2],\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[[-3, 3, -2],\n [0, 2, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -1, 0],\n [3, 2, 1],\n [-1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -2],\n [-2, -1, 0],\n [2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, 0],\n [1, 2, 2],\n [3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 1],\n [0, -3, -3],\n [-3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[0, 3, -1],\n [0, -3, 2],\n [0, 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 absolute values of all entries of the 2th power of the matrix:\n[[-3, 1, 1],\n [1, 2, -1],\n [1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 1, -1],\n [1, -2, -1],\n [-1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, -3],\n [-2, 3, -1],\n [2, -3, 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^2 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": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, -2],\n [-3, 2, -2],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -3, -3],\n [0, -2, 0],\n [0, 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^3 and find the sum of all entries of the result:\nA =\n[[2, -3, -2],\n [0, 3, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 0],\n [0, 2, -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": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 1],\n [0, 0, -2],\n [1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, 3],\n [-1, 0, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[1, -2, 2],\n [0, 1, 0],\n [3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, -2],\n [0, 2, -1],\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 absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 1],\n [0, 0, 2],\n [0, 0, 0]]\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 2th power of the matrix:\n[[0, 0, 2],\n [0, 2, 1],\n [2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th 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": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-2, 0, 3],\n [-2, 0, 3],\n [0, 0, 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, 3) of the 3th power of the matrix:\n[[3, -3, 0],\n [3, -1, -2],\n [-2, -3, 0]]\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 (3, 3) of the matrix A^3 where A is:\n[[1, 3, -1],\n [0, 0, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -1],\n [3, 1, 2],\n [1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 3],\n [1, 1, 1],\n [-3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, 3],\n [0, 0, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[0, -2, 2],\n [-1, -3, -2],\n [-2, 3, 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^2 where A =\n[[-2, -1, -1],\n [0, -3, -1],\n [0, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2],\n [0, -1, 0],\n [2, 0, 2]]\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 2th power of the matrix:\n[[0, 2, -2],\n [0, -3, -1],\n [0, 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 2th power of the matrix:\n[[-2, 0, -3],\n [3, -3, 1],\n [-1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-2, 0, 0],\n [0, 2, -2],\n [0, -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 all entries of the matrix A^3 where A is:\n[[-3, -3, -2],\n [0, 3, 2],\n [0, 0, -1]]?\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 (2, 3) of the matrix A^3 where A is:\n[[0, 0, -1],\n [0, 1, 2],\n [-1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 1, 1],\n [3, 3, -1],\n [-3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 2],\n [-2, -1, 0],\n [2, 0, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -2],\n [-1, 0, -1],\n [-2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[3, -1, 3],\n [0, 1, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 0],\n [-3, 2, 0],\n [-3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 3, -2],\n [3, -2, -2],\n [0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 1, 3],\n [2, -2, 1],\n [-3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, 1],\n [0, 2, 3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, -1],\n [2, -3, -2],\n [-1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "419", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, -2],\n [-2, 0, 1],\n [3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -2],\n [0, 2, -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 value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 2, -2],\n [3, 2, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -2, 0],\n [-2, 0, 2],\n [0, 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 2th power of the matrix:\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": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-1, 2, 0],\n [-3, 2, -1],\n [3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 0],\n [0, -2, 1],\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": "87", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, -1],\n [0, -2, -1],\n [-3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, 2],\n [-3, 0, -3],\n [1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, -1],\n [2, -3, -1],\n [-1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, 2],\n [-3, -3, -3],\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": "179", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, -2, -3],\n [-2, 1, 2],\n [-3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -3, 0],\n [1, 1, -3],\n [3, 3, -3]]?\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 value at position (2, 1) of the result:\nA =\n[[1, -2, 0],\n [-2, 3, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[3, -1, -2],\n [-1, 1, 0],\n [-2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 0],\n [-2, -3, 2],\n [-1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 1],\n [0, 1, 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": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -2],\n [1, 3, 0],\n [-2, 0, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, 0, -1],\n [0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-1, 3, 0],\n [0, -1, 3],\n [-2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[0, 2, -2],\n [0, 2, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -3, 1],\n [-3, 0, 0],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -1],\n [0, 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": "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, 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 1, 0],\n [-3, -1, 3],\n [2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -3],\n [0, 3, 1],\n [0, 0, 3]]\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[[-1, 2, -3],\n [2, -3, -1],\n [-3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 3, -3],\n [0, -2, -1],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -3, -2],\n [-3, -3, -3],\n [0, 1, -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, -3, 2],\n [0, 0, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-3, -2, 1],\n [-3, -2, 3],\n [-3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2],\n [0, -3, 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": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -3, -2],\n [0, 1, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -1],\n [0, 1, 0],\n [-1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[1, 0, 2],\n [0, -1, 2],\n [2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, -2],\n [0, 3, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, 2],\n [-2, 0, -1],\n [0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "239", "dataset": "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 [1, -3, -3],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, 0],\n [-2, -2, -3],\n [3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-1, 0, -1],\n [0, 3, 2],\n [-1, 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[[1, 2, 1],\n [0, -3, -2],\n [0, 0, -3]], 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": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[2, 3, 0],\n [1, 3, 2],\n [2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, 3, 2],\n [0, -2, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-2, -3, 2],\n [0, 3, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -3, 2],\n [-3, -2, 0],\n [2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\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": "8", "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, 2, 3],\n [3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "702", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, 0, -1],\n [-2, 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^2 where A =\n[[-3, -2, -2],\n [-2, -1, 0],\n [-2, 0, 0]], 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": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 1],\n [0, 1, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, 2, -3],\n [2, -1, 3],\n [3, -2, -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[[-1, 0, 2],\n [1, 3, 1],\n [-1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -2, -1],\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 (3, 3) of the matrix A^2 where A is:\n[[0, 0, 2],\n [0, -1, 0],\n [2, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 0],\n [0, 3, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-2, 0, -3],\n [0, 3, 0],\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^3 where A =\n[[2, 2, -1],\n [0, 0, -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": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[0, -2, 0],\n [-2, 0, -2],\n [0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -1],\n [2, -1, 0],\n [-3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, -2],\n [0, -1, -3],\n [0, 0, 2]], determine the value at position (2, 2).\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[[2, 0, -3],\n [0, -3, 0],\n [1, 0, -1]]\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[[1, 2, 3],\n [2, 1, 2],\n [3, 2, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[0, 2, -2],\n [1, 2, -3],\n [-2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, 3, 0],\n [0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-1, -2, -2],\n [-2, -2, 2],\n [-2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -3],\n [-2, 3, 3],\n [2, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 1, 1],\n [2, 0, 1],\n [3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 0, 0],\n [0, 0, 0],\n [0, 0, -3]]\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^2 where A is:\n[[1, 0, 0],\n [0, 2, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, -1, 0],\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": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 3],\n [-1, 1, -1],\n [3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\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": "40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 1],\n [0, 3, 2],\n [1, 2, 2]], determine the value at position (1, 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^2 where A =\n[[-3, -2, -3],\n [-2, -1, -3],\n [-3, -3, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -3],\n [-1, -3, -1],\n [2, 3, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-1, -1, -1],\n [0, -2, -2],\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, 3) of the 2th power of the matrix:\n[[3, -1, 1],\n [0, -3, -1],\n [0, 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[[-2, 1, 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 value at position (2, 2) of the matrix A^3 where A is:\n[[-1, 1, -2],\n [0, -2, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 3],\n [0, 1, -1],\n [0, 0, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\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": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 0],\n [0, 2, -2],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -2, 2],\n [-2, 3, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-3, 0, -1],\n [0, 0, 0],\n [-1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 0, 2],\n [3, 0, 2],\n [3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 2],\n [0, -2, 0],\n [0, 0, -2]], 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 0, 0],\n [0, 3, -3],\n [-1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) 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": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 2],\n [0, -3, 2],\n [2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, -2],\n [1, -1, -1],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, -2],\n [-1, 2, 2],\n [3, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, 0],\n [0, -2, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-3, -1, 0],\n [-1, -1, -2],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, -3],\n [3, 1, -1],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2],\n [0, -3, 0],\n [-2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -1, 1],\n [-1, 3, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-3, 3, -1],\n [3, -2, 3],\n [-2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-3, -1, 2],\n [0, 2, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[0, -1, -2],\n [2, 0, -2],\n [-2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 0],\n [-2, 3, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, 3, -3],\n [0, 3, 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[[-2, 3, 2],\n [0, -2, 2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 2, 2],\n [2, -1, -2],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 0],\n [0, 1, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[0, -1, -1],\n [-1, 0, 0],\n [-1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 3, 0],\n [0, -2, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -2],\n [3, 3, 1],\n [-2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-2, 3, -2],\n [0, 1, -3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 2],\n [0, -2, 0],\n [2, 0, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-1, -1, -2],\n [-1, 1, -2],\n [-2, -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 all entries of the 2th power of the matrix:\n[[0, 1, 0],\n [-2, 3, 0],\n [2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, 3, -3],\n [0, 3, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, -3, 2],\n [0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 2, -1],\n [0, -3, 0],\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 all entries of the matrix A^3 where A is:\n[[-2, 0, 1],\n [0, -3, 0],\n [1, 0, -1]]?\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[[-1, 2, 2],\n [2, 1, 0],\n [2, 0, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 0, 1],\n [0, -1, 1],\n [1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -3],\n [2, -3, -1],\n [0, 2, 3]], determine the value at position (3, 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^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0],\n [1, -1, -1],\n [0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, -3],\n [1, -3, 3],\n [-2, -2, 3]]\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[[1, -1, -2],\n [0, 0, -2],\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 (2, 3) of the 3th power of the matrix:\n[[-3, 1, -3],\n [0, -2, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -1],\n [0, 0, 1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -2],\n [2, -3, -3],\n [-3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, -2],\n [0, 3, 0],\n [-2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "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, -2, -2],\n [-1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, -2],\n [0, 2, -2],\n [-2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 1],\n [2, -2, -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": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, -2],\n [-2, -1, -2],\n [-2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-504", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, 0, -2],\n [0, -3, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, 1, 3],\n [3, -3, 0],\n [-2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, -2],\n [-3, -2, 3],\n [-1, 2, -1]]\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, 3) of the matrix A^2 where A is:\n[[3, 0, -1],\n [0, 3, -3],\n [-1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, 0],\n [0, 2, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -1, 2],\n [1, -3, 0],\n [3, -2, -3]]\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[[0, -1, 1],\n [0, 0, 3],\n [0, 0, 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 3th power of the matrix:\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": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, 2, 3],\n [0, 2, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, 3],\n [0, 3, 2],\n [0, 0, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[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": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -2],\n [0, 1, 0],\n [-2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "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[[-2, 1, -3],\n [0, 0, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 1, 2],\n [1, 3, 0],\n [2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-2, 2, -1],\n [0, 3, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [0, 0, 1],\n [0, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0],\n [3, 1, -2],\n [3, -3, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, -2, -2],\n [0, -2, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -3],\n [0, -3, -2],\n [0, 0, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, -1],\n [0, 0, 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": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 3, -1],\n [2, -2, 1],\n [-1, 1, 0]]\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[[-3, 2, 2],\n [3, -3, 3],\n [-3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 3],\n [0, 1, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -1, -3],\n [0, -1, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -3],\n [0, -2, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -1],\n [-3, -3, -2],\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": "119", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 2],\n [0, 2, 0],\n [2, 0, 0]], 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": "For the matrix power A^2 where A =\n[[3, 0, 0],\n [0, 1, 2],\n [0, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\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": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, -1],\n [0, -3, -1],\n [0, 0, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 2],\n [3, 3, -1],\n [-2, -2, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, 0, 2],\n [0, -3, 0],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, 2, -3],\n [-1, 2, -2],\n [-3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, -2, -3],\n [1, 3, 3],\n [-1, 2, 1]]?\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, 0, 1],\n [0, -3, -1],\n [1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, -2, -2],\n [-1, 1, 1],\n [-3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, 2],\n [-2, 3, 1],\n [-3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 1],\n [-1, -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": "21", "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, -2, -3],\n [0, -3, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, 2, 3],\n [3, -2, -3],\n [-3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[0, 1, -3],\n [0, -2, 3],\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 2th power of the matrix:\n[[1, -2, -1],\n [-2, -1, 1],\n [-1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 3],\n [-2, 2, -2],\n [-3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "327", "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, -1, 1],\n [-3, -1, -2],\n [-1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, -1],\n [-2, -2, 3],\n [-3, -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": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [3, -3, 3],\n [0, 3, -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": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 0, 2],\n [1, 3, 1],\n [-3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -2, -3],\n [2, 1, -1],\n [-1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 1],\n [0, -2, 3],\n [-3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -3, 2],\n [-1, 3, -1],\n [3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 1],\n [2, -1, -2],\n [1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 2],\n [2, 3, 0],\n [2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 1, -2],\n [1, -2, -3],\n [-2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, -3, -2],\n [3, 2, 2],\n [2, 1, 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[[-3, 2, -2],\n [0, -1, 3],\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": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, 1],\n [0, 1, -1],\n [0, 0, -1]]\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[[3, 0, 1],\n [0, 0, -2],\n [1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -2, -2],\n [0, 2, 1],\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 all entries of the matrix A^2 where A is:\n[[-2, -1, 0],\n [-2, 1, 0],\n [-2, -1, 0]]?\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, 3) of the result:\nA =\n[[-3, 0, 0],\n [0, 3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, -2],\n [-2, -3, 1],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-1, -3, -3],\n [0, -2, -2],\n [0, 0, -3]]\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, 1],\n [2, 0, -2],\n [1, -2, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 2],\n [-2, 0, -2],\n [1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -2],\n [0, 1, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-3, 0, -3],\n [-1, 0, -1],\n [3, -3, -2]]?\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[[-1, -1, -3],\n [-1, -2, -2],\n [0, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[3, 0, -2],\n [1, 2, 2],\n [-1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, 2],\n [-1, -3, 0],\n [0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 0],\n [0, 1, 0],\n [0, 0, -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^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1],\n [0, 3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 3],\n [0, -3, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 0],\n [0, 1, -2],\n [0, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, -2],\n [0, 3, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -1],\n [3, -3, -3],\n [2, 1, 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[[0, 2, 0],\n [2, -3, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, -3],\n [0, 2, 3],\n [0, 0, 0]]?\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, 1) of the 2th power of the matrix:\n[[-3, 0, 0],\n [0, -2, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 0],\n [0, 2, 2],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 3],\n [0, 3, -2],\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": "4", "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, -2],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -1],\n [0, -2, 2],\n [-1, 2, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, 0],\n [0, 0, 3],\n [-3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 0],\n [1, -3, -1],\n [3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, -1, 1],\n [-1, 3, 0],\n [1, 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 absolute values of all entries of the result:\nA =\n[[0, -1, 1],\n [0, -2, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 1],\n [-1, 3, 0],\n [1, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, 3],\n [-3, 0, 2],\n [1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, -3],\n [0, 0, -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": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-1, -2, -2],\n [1, 2, 0],\n [2, -1, 1]]?\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 (3, 1) of the matrix A^2 where A is:\n[[0, 3, 0],\n [-3, 1, -2],\n [1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -1],\n [0, 3, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 0],\n [3, 1, -2],\n [-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": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[3, 0, -1],\n [-3, 1, -2],\n [3, -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^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, -3]]\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, 3, 0],\n [0, 1, 1],\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": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, -1],\n [0, 1, 2],\n [-1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, -3],\n [-3, -3, -1],\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": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 0, 0],\n [0, 3, 0],\n [0, 0, 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^3 where A is:\n[[-3, -3, 3],\n [0, 2, -1],\n [-3, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 2, 0],\n [2, -2, 0],\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 value at position (1, 1) of the matrix A^2 where A is:\n[[2, 1, -2],\n [1, -3, 2],\n [-2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -3],\n [0, -2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 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": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -3, 2],\n [3, -1, -1],\n [2, 1, 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[[1, 0, -2],\n [0, 1, -1],\n [-2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "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, -2, 1],\n [1, 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[[3, 1, 2],\n [0, -2, 0],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-2, 3, -2],\n [0, -2, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 0],\n [0, 0, -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": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, 0, 2],\n [0, 3, -2],\n [2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 0],\n [0, -3, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, 1, 0],\n [0, -3, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, 1, 0],\n [-2, -1, -3],\n [-2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -3],\n [0, -3, 2],\n [1, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "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, -3, 1],\n [-2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, -1],\n [0, -2, 3],\n [0, 0, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 3],\n [-3, -1, 2],\n [-3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-1, 0, -2],\n [-3, -3, -1],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0],\n [0, 3, 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 value at position (2, 1) of the matrix A^2 where A is:\n[[-3, -3, -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^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, -1],\n [0, 3, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -3, 2],\n [-1, -3, 2],\n [3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, -3, 1],\n [3, 0, 3],\n [0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 1, -2],\n [0, 0, -1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2],\n [-2, 1, 0],\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": "348", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 2],\n [0, 1, 1],\n [0, 0, 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 absolute values of all entries of the matrix A^2 where A is:\n[[2, 0, 3],\n [3, 1, -1],\n [3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, 3],\n [0, 3, 1],\n [0, 0, -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^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 3],\n [-1, 3, 0],\n [3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[1, 0, 1],\n [0, 0, 0],\n [1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [0, -3, 0],\n [0, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -3, 2],\n [0, 3, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 2, -1],\n [-3, -3, 0],\n [-2, -2, 2]]?\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[[-2, 0, 2],\n [0, -3, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, 1],\n [0, 3, 1],\n [0, 0, 0]]\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 sum of absolute values of all entries of the result:\nA =\n[[2, -2, 2],\n [0, -3, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 3],\n [1, -1, 3],\n [-3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-3, -3, -1],\n [1, -1, -2],\n [-3, 1, 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^2 where A is:\n[[0, 3, 2],\n [0, -1, -3],\n [2, 3, -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 2th power of the matrix:\n[[3, -2, -2],\n [-2, 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": "For the matrix power A^3 where A =\n[[3, -3, 1],\n [3, 2, -1],\n [-1, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 3, 3],\n [0, 1, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-3, 0, 1],\n [-3, -3, 1],\n [-1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[1, 0, -2],\n [0, -1, -1],\n [-2, -1, -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[[-3, 2, 0],\n [2, 2, 0],\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": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-3, 2, -2],\n [-3, -2, 2],\n [-3, 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, 0, 1],\n [0, 1, 0],\n [1, 0, -3]], 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 0],\n [-1, 3, 2],\n [-2, 3, -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 absolute values of all entries of the result:\nA =\n[[0, 0, 1],\n [-1, 1, 2],\n [0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 2],\n [0, -1, 3],\n [2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, 2],\n [0, -1, -2],\n [-2, 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^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, -1],\n [0, -1, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 2],\n [0, 0, -1],\n [2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, -2, -3],\n [0, 1, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-2, -3, -3],\n [0, -2, -2],\n [0, 0, -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 all entries of the result:\nA =\n[[0, 2, -2],\n [2, -1, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, 0],\n [0, 0, -3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 2, 0],\n [0, 2, -1],\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, 3) of the 2th power of the matrix:\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": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 0, 0],\n [0, 0, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, 2, 0],\n [0, 0, 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^3 where A is:\n[[-1, -3, 1],\n [2, 0, -3],\n [-3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "289", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -2],\n [0, 1, 2],\n [-3, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -2],\n [-2, 2, 1],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[1, 0, 2],\n [0, -3, -2],\n [2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, -3],\n [0, 0, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, 2],\n [1, -1, 1],\n [2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-1, 0, 3],\n [3, 2, -3],\n [-3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, 0],\n [0, -2, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 1, 2],\n [1, -2, -3],\n [2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 0],\n [1, 2, 2],\n [0, 2, 0]], 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^2 and find the sum of all entries of the result:\nA =\n[[2, 2, 0],\n [2, 3, 2],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -2],\n [0, -2, 1],\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": "126", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-1, 2, 2],\n [1, -3, -2],\n [-2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -1],\n [-3, 2, 3],\n [-2, -1, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 1],\n [-1, 3, 2],\n [1, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 2],\n [0, -1, 2],\n [2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -1],\n [0, 0, 2],\n [-1, 2, 3]], 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": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[2, -1, 0],\n [0, 3, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 2],\n [-1, 0, 1],\n [2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, 0, 2],\n [0, 3, 0],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[2, -2, -1],\n [-3, 1, -2],\n [2, 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^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 1],\n [-3, 3, 0],\n [-2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -2],\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": "-32", "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, 0, -2],\n [0, 1, 2],\n [-2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [0, 0, -2],\n [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": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[3, -1, 2],\n [-1, 2, 2],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 0, 2],\n [0, 2, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-1, -1, 1],\n [-1, -1, -2],\n [-3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 3],\n [-2, -2, -1],\n [1, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 2],\n [3, -2, -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": "136", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, 1, 0],\n [1, 3, -2],\n [0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 2],\n [0, 1, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-3, -1, -2],\n [1, -1, 3],\n [-3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 1],\n [0, 1, -3],\n [1, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "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 [-3, 2, 1],\n [-3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, 2, -1],\n [1, 3, -3],\n [2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-3, -1, 1],\n [0, -2, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-3, 2, -2],\n [-1, 1, 2],\n [1, 3, 3]]\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[[-3, 2, 3],\n [2, -3, -3],\n [3, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, 0, 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 all entries of the 3th power of the matrix:\n[[2, -2, -1],\n [0, -1, -1],\n [0, 0, 0]]\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, 2],\n [-3, 0, -1],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 3, 1],\n [-1, 3, 0],\n [-2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -2, -2],\n [0, 0, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 1, -2],\n [3, 3, -2],\n [-3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, -2],\n [0, -1, 1],\n [0, 0, 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[[-3, 3, -1],\n [2, -1, 2],\n [3, -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[[-2, 3, -3],\n [1, -1, -3],\n [-1, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 2, -1],\n [2, -2, 0],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 3],\n [0, -2, 3],\n [-1, -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[[0, -1, -3],\n [-3, 2, 2],\n [1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[2, -3, 3],\n [0, 1, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0],\n [-1, 3, 0],\n [-2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -1, -2],\n [-1, 0, -2],\n [-2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -1],\n [0, -2, 0],\n [-1, -3, 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 all entries of the matrix A^3 where A is:\n[[-3, 0, -3],\n [0, 0, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -3],\n [0, 1, -1],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -3, -2],\n [-3, 0, 2],\n [-2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -1],\n [0, -2, -2],\n [-1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[3, 0, 2],\n [0, 3, 2],\n [2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 1],\n [-2, 1, -2],\n [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": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, -1],\n [-3, 2, 2],\n [-1, 3, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 0],\n [0, -3, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 1],\n [0, 2, 3],\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": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 3],\n [-2, 2, -2],\n [2, 1, 0]]?\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, 3, -2],\n [1, -2, -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": "47", "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, 0],\n [2, -3, -2],\n [0, -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 (1, 3) of the matrix A^2 where A is:\n[[-1, 2, 1],\n [0, 2, -3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0],\n [0, 2, -1],\n [0, -1, -2]]\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 (1, 2) of the matrix A^3 where A is:\n[[2, 2, -3],\n [-3, 2, 2],\n [3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-3, -2, 2],\n [1, 2, -1],\n [2, 2, -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 all entries of the matrix A^3 where A is:\n[[3, -3, 0],\n [0, 2, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[0, -3, 2],\n [-3, -2, 2],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -2],\n [0, -1, 0],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[3, 0, 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": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2],\n [1, 3, 2],\n [2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 1, 0],\n [0, -3, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 2],\n [0, 0, -3],\n [0, 0, 0]]?\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 sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -2],\n [-2, 2, 1],\n [2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 1],\n [0, 3, 3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, -2],\n [0, -1, -1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 2],\n [2, 0, 2],\n [2, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, -2],\n [1, 3, 3],\n [-3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, -2, 1],\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, -1, 1],\n [0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -3, 2],\n [0, 3, -2],\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^2 and find the value at position (3, 2) of the result:\nA =\n[[3, 0, -2],\n [0, 0, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 1],\n [-2, -1, 1],\n [0, 3, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "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, -3, -2],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[3, -3, 3],\n [0, -2, 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, 1) of the 2th power of the matrix:\n[[-3, 0, 2],\n [-2, 2, -2],\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^2 where A =\n[[3, 0, -1],\n [0, -2, 3],\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, 3) of the matrix A^3 where A is:\n[[-3, 3, -1],\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": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, 2, -3],\n [0, -1, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 2],\n [0, 2, 1],\n [2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -1, 2],\n [-1, 2, -2],\n [2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, 2, 2],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 2],\n [-3, -1, 1],\n [3, 2, 0]]\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[[-3, -3, -2],\n [0, -2, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, -1],\n [3, -1, 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": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[0, 0, 1],\n [0, 1, 2],\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^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -2, 2],\n [-2, 0, 2],\n [2, 2, 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 all entries of the matrix A^2 where A is:\n[[-3, 2, -2],\n [2, 3, -2],\n [-2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 0],\n [0, 0, 0],\n [0, 0, -3]], 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 0, -3],\n [0, 0, -3],\n [0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 0],\n [0, -1, -2],\n [3, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -2, -1],\n [-2, 1, 0],\n [-1, 0, -1]]?\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^2 where A is:\n[[1, -1, 2],\n [0, 2, 1],\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[[-1, -3, 2],\n [0, 0, 2],\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": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[0, -2, 0],\n [-2, 2, -2],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, -1, -1],\n [-2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -2, 1],\n [0, 0, -3],\n [0, 0, -3]]?\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, 0, -3],\n [-2, 3, -3],\n [-1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[3, 2, -2],\n [2, 2, -3],\n [-2, -3, 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 absolute values of all entries of the matrix A^2 where A is:\n[[0, 1, 1],\n [0, -3, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 3],\n [1, 1, 3],\n [1, -3, -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[[0, -1, 3],\n [3, 0, -1],\n [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": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -1],\n [0, 1, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 1],\n [3, -1, 3],\n [-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": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -3, 3],\n [0, 2, 1],\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 value at position (3, 3) of the matrix A^2 where A is:\n[[2, 3, 3],\n [1, -3, 0],\n [-2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, -2],\n [2, 2, 3],\n [1, 2, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-1, 0, 1],\n [-2, -1, -2],\n [-3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 2, 2],\n [0, -3, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 1],\n [0, 1, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-3, -2, -2],\n [-2, 2, -1],\n [-2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, 2],\n [3, 1, -2],\n [2, -2, 3]], determine the value at position (2, 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[[1, -3, -1],\n [0, -2, -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": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-1, -3, 2],\n [0, 3, 3],\n [0, 0, -3]]?\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[[-1, -1, -3],\n [0, 2, 3],\n [0, 0, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 1],\n [0, -1, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 1, 1],\n [0, 2, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, -3],\n [2, 3, -1],\n [3, -2, -1]], 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 sum of all entries of the matrix A^3 where A is:\n[[2, -2, 1],\n [0, 1, 3],\n [0, 0, 0]]?\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 3th power of the matrix:\n[[1, 3, -3],\n [-2, 2, 3],\n [2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -2, -3],\n [0, -2, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 3, -2],\n [0, -2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, 0],\n [-1, -2, -1],\n [-3, 0, 3]], 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": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, 2, 0],\n [0, 2, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, -2],\n [3, -2, 2],\n [-3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "795", "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, 2],\n [0, -1, 3],\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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 1],\n [1, 2, 0],\n [0, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, 0, 3],\n [0, 1, -1],\n [0, 0, -2]]\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 absolute values of all entries of the result:\nA =\n[[1, 0, 0],\n [0, 0, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, -3],\n [0, 0, 3],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, -3],\n [-2, 0, 1],\n [-3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 0],\n [0, 1, 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": "32", "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, -2, 1],\n [-2, 3, 0],\n [1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, 1],\n [-1, 1, -2],\n [-2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 3, 3],\n [0, -3, 1],\n [1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -3, 0],\n [-3, 2, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 2],\n [0, 3, 1],\n [2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "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],\n [0, 2, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[2, 1, 1],\n [0, 3, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 0],\n [0, 1, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-3, -1, 0],\n [-1, -3, 0],\n [0, 0, 2]]?\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[[3, -1, 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": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 3, 2],\n [-2, 0, 3],\n [-2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, 1, 3],\n [0, 3, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 1],\n [-1, 0, 1],\n [1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -3],\n [2, -3, 0],\n [0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "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, -1],\n [-3, 3, -2],\n [0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 1],\n [-2, 1, -1],\n [3, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -1],\n [0, -3, -2],\n [-1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -3],\n [0, -3, -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": "-133", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-2, -2, 2],\n [-2, -1, -2],\n [2, -2, 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 2th power of the matrix:\n[[2, 2, 0],\n [0, 0, -2],\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 sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 2],\n [0, -1, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 2],\n [0, -3, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, -1],\n [0, 3, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-3, -1, 1],\n [3, -2, 3],\n [-2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, 3],\n [-3, -1, 0],\n [0, 3, 2]]\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 (1, 3) of the matrix A^2 where A is:\n[[1, 0, 0],\n [0, 3, 2],\n [0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 2, -1],\n [3, -1, -1],\n [2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, -1, -1],\n [1, 2, 2],\n [-1, -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^2 where A =\n[[-1, 3, 1],\n [0, -1, 1],\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": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 1],\n [0, -1, 3],\n [0, 0, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, -3],\n [0, -3, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, 2, 3],\n [0, 1, 1],\n [3, -1, 2]]\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, -1, -3],\n [-1, 1, -2],\n [-3, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -2, 0],\n [-2, -1, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[1, 1, 2],\n [1, 1, 0],\n [2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -2, -1],\n [2, 1, -1],\n [-2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 0, -3],\n [0, -1, -1],\n [-3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0],\n [-2, 2, -1],\n [0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -1, 0],\n [-1, -1, 1],\n [0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 1],\n [-2, -2, 3],\n [-3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, 3, 3],\n [0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 0],\n [0, 1, 2],\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": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, 2],\n [-1, -1, -1],\n [2, -1, 1]], determine the value at position (2, 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, 0, 0],\n [0, -2, 3],\n [0, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[1, 1, 1],\n [0, 3, -1],\n [-2, -3, 3]]\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[[1, -3, 2],\n [0, 0, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0],\n [0, 3, 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": "For the matrix power A^3 where A =\n[[0, -3, 2],\n [1, 3, 3],\n [-2, -2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[0, 0, 2],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 2],\n [1, -2, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 3, 0],\n [0, 2, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -2, -1],\n [0, -1, 2],\n [3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -3, 3],\n [-3, 2, 1],\n [-2, 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 all entries of the 2th power of the matrix:\n[[3, -3, 1],\n [0, -3, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, -2],\n [-3, 3, 1],\n [3, 3, -3]], determine the sum of all entries.\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, 1) of the matrix A^3 where A is:\n[[-1, 1, 1],\n [1, -1, 0],\n [1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, -2],\n [0, -1, 2],\n [2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -1],\n [0, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[0, -3, 1],\n [3, -3, 2],\n [1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 3],\n [0, -3, -1],\n [3, -1, 2]], determine the value at position (2, 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^3 where A is:\n[[3, -3, 3],\n [-3, 1, 3],\n [3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 3],\n [0, -3, 3],\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": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-2, 2, -2],\n [1, -2, -2],\n [-1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 3],\n [-1, 3, -3],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 2],\n [0, 3, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, 3, 3],\n [-1, -3, -1],\n [3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-1, 0, -1],\n [0, -2, 1],\n [0, 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^2 where A =\n[[3, -2, -2],\n [-2, -2, 0],\n [-2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -3],\n [-3, 3, 3],\n [-3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, -1],\n [0, -1, 1],\n [-1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 2],\n [-3, 0, 0],\n [-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": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 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": "What is the value at position (3, 1) 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": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, 2],\n [2, -2, 3],\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^2 where A =\n[[-2, 1, -3],\n [0, 3, -3],\n [0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -1, 1],\n [0, 0, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 3, 2],\n [2, -1, 2],\n [3, -1, 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^3 where A =\n[[-1, -1, 0],\n [1, -2, 2],\n [1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 2],\n [0, 1, -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 all entries of the 2th power of the matrix:\n[[-3, -3, -1],\n [3, 3, 3],\n [-3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, -1],\n [2, 3, 2],\n [-2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "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, -2, 0],\n [-2, -1, 2],\n [0, 2, 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^2 and find the sum of absolute values of all entries of the result:\nA =\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": "70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 2],\n [0, 3, -2],\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": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -2],\n [0, -2, -2],\n [-2, -2, -1]], 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": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, -2],\n [3, 2, 0],\n [3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 0, -1],\n [0, -2, 0],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 3],\n [0, 2, 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": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 3],\n [0, -1, 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^2 where A is:\n[[3, -3, -1],\n [0, 2, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -3],\n [0, -1, -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": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, 2, 0],\n [2, 2, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -3],\n [0, 1, 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": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 3],\n [-3, 0, -2],\n [-1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -1, 0],\n [-3, 2, 2],\n [-3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, -2],\n [-2, -2, 1],\n [-2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -2],\n [1, 0, -1],\n [-2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, -1, -2],\n [0, -3, 2],\n [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 value at position (3, 2) of the result:\nA =\n[[-1, 3, 2],\n [2, 1, 2],\n [0, 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 [2, -1, 0],\n [-2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, -1, 1],\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": "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, 2],\n [2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, 0, -3],\n [2, -2, 3],\n [-2, 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, 1) of the 3th power of the matrix:\n[[-3, 0, -3],\n [1, -3, 2],\n [-3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, -1, 0],\n [-1, 1, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -1],\n [0, 3, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -2, 0],\n [-2, -3, 1],\n [0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 2],\n [-1, -1, 1],\n [2, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, 0],\n [0, 0, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[2, -2, -2],\n [0, 1, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 1],\n [-2, 3, 0],\n [1, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 3],\n [0, -2, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -3, 0],\n [-3, -3, 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": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, -1],\n [1, 2, 1],\n [-1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-3, -2, -3],\n [-2, 3, 0],\n [-3, 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^2 where A =\n[[-3, 3, -2],\n [-1, 1, 1],\n [3, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum 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": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 3, 0],\n [3, -2, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 2, -2],\n [2, 2, 0],\n [-2, 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[[2, -3, 3],\n [3, 2, 0],\n [-2, -1, 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": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[0, 1, 3],\n [1, -1, -1],\n [3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-3, -3, -2],\n [-2, 0, -3],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 1],\n [2, -2, -1],\n [1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 0, 0],\n [0, 3, -2],\n [0, -2, -3]]\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[[-3, 3, -1],\n [2, 3, 3],\n [-1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 0],\n [1, 1, -1],\n [2, 0, 0]], 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 3, 2],\n [3, 1, 3],\n [3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 0, 0],\n [0, -3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 2],\n [-3, 3, -1],\n [-3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, -1],\n [-2, -1, 2],\n [-1, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 2],\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": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 2],\n [0, 1, -1],\n [2, -1, 2]], determine the sum of all entries.\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^2 where A is:\n[[3, -3, -3],\n [0, 1, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 1],\n [-2, -2, 0],\n [1, 0, 2]], 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": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[0, 2, -2],\n [0, -3, 2],\n [0, 0, -2]]?\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[[0, -2, 2],\n [-2, 2, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[3, 0, -2],\n [0, -3, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 1],\n [0, 1, 2],\n [0, 0, 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, 0, 0],\n [0, -2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, -1],\n [2, -2, 1],\n [-1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, -2, -3],\n [1, 0, -1],\n [2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-2, 1, 0],\n [-3, 1, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -2],\n [-3, 1, -2],\n [-1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, -2],\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": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 2, -3],\n [-3, 3, -3],\n [-3, 2, -2]]\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[[3, -1, 3],\n [0, -1, -3],\n [0, 0, 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, 3) of the result:\nA =\n[[3, -2, 0],\n [-2, 0, 1],\n [0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -2],\n [-2, -2, 3],\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": "-26", "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, 1, 2],\n [0, -3, -1],\n [0, 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 absolute values of all entries of the 2th power of the matrix:\n[[0, 1, 0],\n [1, 3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 1, -1],\n [0, 0, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, 0, 0],\n [0, -3, 2],\n [0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 2],\n [1, 1, 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": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 1],\n [-1, 3, 2],\n [1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, 0, 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": "For the matrix power A^2 where A =\n[[3, -1, 1],\n [-1, -1, -2],\n [1, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, 0, 0],\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 all entries of the 3th power of the matrix:\n[[2, -1, 2],\n [-1, 2, 0],\n [1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 0],\n [0, -3, 1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, 1],\n [0, -3, 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[[-1, 0, 2],\n [0, 1, -3],\n [3, 0, 0]]\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 3th power of the matrix:\n[[1, -1, -3],\n [0, -3, -1],\n [-3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 3],\n [0, -3, -3],\n [-2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 0, 3],\n [0, 3, 2],\n [0, 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 absolute values of all entries of the matrix A^2 where A is:\n[[3, 3, 2],\n [2, 3, 2],\n [-1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, -2],\n [-2, -3, 0],\n [-2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 3],\n [0, -3, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -1],\n [0, 2, -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": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 1, 0],\n [1, 2, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 1, 0],\n [1, 0, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 0, -3],\n [2, 0, -2],\n [-2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -2, 0],\n [-2, -2, 1],\n [0, 1, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 0],\n [1, 2, 0],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 2, 0],\n [0, 0, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, 2],\n [-1, 1, -3],\n [0, -1, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -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": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, 3],\n [0, 3, -1],\n [0, 0, 2]]?\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, 1) of the matrix A^3 where A is:\n[[3, -3, -3],\n [-1, -3, 3],\n [3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[3, 0, -2],\n [0, 2, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, 2],\n [-2, -2, 0],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 1],\n [0, 0, -1],\n [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^3 and find the sum of all entries of the result:\nA =\n[[2, -3, 1],\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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 0],\n [0, -3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0],\n [2, -3, 1],\n [0, 1, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[0, 3, 0],\n [0, -3, 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^2 where A is:\n[[-2, 2, -3],\n [2, -3, -2],\n [-3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -2],\n [2, 3, 2],\n [-2, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -1, -2],\n [-1, 2, 2],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-2, -1, 0],\n [-1, 1, -1],\n [0, -1, -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, 2) of the matrix A^2 where A is:\n[[-3, 1, -2],\n [1, 2, 0],\n [-2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[2, 1, -2],\n [0, 2, -2],\n [0, 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 (1, 3) of the matrix A^2 where A is:\n[[-3, 0, 2],\n [0, -1, 0],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2],\n [0, 2, -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": "307", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -2, -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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -3, 3],\n [0, -3, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 2],\n [-2, -2, -2],\n [2, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 2],\n [0, 3, 0],\n [2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 3, -1],\n [1, -2, 0],\n [-1, -1, 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^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 2, 3],\n [0, 3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, 2],\n [0, 2, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [0, -1, 0],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, -3],\n [0, 1, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, 1],\n [0, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, -3, 3],\n [0, -2, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -3, 3],\n [-3, 3, -2],\n [3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 0, 1],\n [0, 3, 0],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[3, -1, -3],\n [2, 3, 3],\n [0, 3, -2]]\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^3 where A is:\n[[0, 0, -2],\n [0, -2, 2],\n [-2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 3, 1],\n [0, 0, 3],\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[[-3, 1, -1],\n [2, -1, -1],\n [1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 1],\n [0, 1, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[2, -1, 1],\n [0, -2, -2],\n [-2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -2, 2],\n [0, 3, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, 0],\n [3, -2, 2],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 2],\n [-2, -3, 1],\n [2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -2],\n [-1, -1, 0],\n [-2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, 0],\n [0, 0, 2],\n [0, 2, 0]]\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, 0, 0],\n [0, 3, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 0],\n [0, -3, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 3, 1],\n [0, 0, 3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, -3],\n [-1, 1, 0],\n [-3, 0, 3]], 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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, -3, 0],\n [-2, 0, 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[[-1, 2, 0],\n [2, 3, -1],\n [0, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 2],\n [0, 2, 1],\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": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -3, 3],\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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, -3],\n [0, -3, 2],\n [-3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 2],\n [-2, 0, 0],\n [2, 0, 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": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 0],\n [-1, -2, 2],\n [-3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 3],\n [0, -2, -2],\n [3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 2],\n [3, 0, 3],\n [-2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 1, 3],\n [3, -2, 1],\n [-1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2],\n [0, -2, -2],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -2],\n [0, 1, 2],\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": "54", "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 [3, -1, -2],\n [-3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 0],\n [-2, 2, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[0, 0, -1],\n [2, 1, -1],\n [3, 2, 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^2 where A =\n[[-3, -1, -1],\n [2, -2, 1],\n [-3, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\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": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, -3],\n [0, -2, -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": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, 2],\n [0, 0, 2],\n [0, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[0, -2, 1],\n [2, -2, 2],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -2],\n [-2, 0, 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": "230", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, 0, -3],\n [1, 1, -1],\n [2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, -3],\n [0, -1, -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": "-89", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, 3, -1],\n [0, -1, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 1],\n [-2, -3, 0],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 0],\n [0, 0, 1],\n [0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, -1],\n [0, -3, -3],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, -3],\n [-2, 2, 1],\n [1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -3, 0],\n [0, 1, 3],\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^3 where A =\n[[1, -1, -1],\n [0, -1, 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": "-19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, 0],\n [0, 1, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-3, -2, -2],\n [2, -3, 1],\n [3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 2],\n [0, 3, 0],\n [2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 0],\n [2, 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": "49", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -1],\n [0, 2, -1],\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": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, 0],\n [0, 1, 3],\n [-3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-3, 0, -2],\n [0, 0, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 1, -1],\n [2, 2, 3],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, -2, -2],\n [-2, 0, -2],\n [-2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 0],\n [0, 1, -2],\n [0, -2, 3]]\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^3 where A is:\n[[1, 3, 3],\n [0, -3, -1],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[0, 0, -3],\n [0, 3, -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 sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, 3],\n [-3, -3, 3],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 2, -3],\n [1, -1, 1],\n [-3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[2, 2, 0],\n [2, -1, -2],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[1, 0, 2],\n [0, 2, 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[[3, 2, 0],\n [2, -2, 1],\n [0, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "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, -1, 3],\n [0, -2, -3],\n [2, -2, 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^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, 3, -2],\n [0, 3, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 2],\n [0, -1, -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": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0],\n [2, 2, -2],\n [0, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, -1],\n [-1, 2, -1],\n [-3, -3, 3]], 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, -1],\n [0, 0, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -1],\n [1, -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": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, -2],\n [0, -3, 3],\n [0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 2, 2],\n [2, -3, -2],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 0],\n [1, -1, 0],\n [0, 0, -3]]?\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^3 where A is:\n[[0, -3, 2],\n [-3, 3, 0],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "367", "dataset": "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, -2, -2],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "419", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 3],\n [0, 0, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -3, 2],\n [0, -2, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, 1],\n [0, -3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -2],\n [0, -2, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, -1],\n [0, -2, -1],\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": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-3, 1, -3],\n [0, 2, -1],\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, 1) of the 3th power of the matrix:\n[[-3, -2, 0],\n [0, -2, -3],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-1, 2, 2],\n [0, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[3, 3, 3],\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^3 where A =\n[[2, 3, 3],\n [0, 0, -3],\n [0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -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": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, -2],\n [-2, -2, 2],\n [2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0],\n [-2, 2, -2],\n [0, -2, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\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": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -3],\n [0, -1, -3],\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": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 2],\n [0, 0, 0],\n [2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, -2],\n [2, 3, -1],\n [1, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -2],\n [1, 2, 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": "29", "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 [0, 2, 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 value at position (3, 2) of the 2th power of the matrix:\n[[2, 0, 0],\n [0, 1, 3],\n [0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, 1],\n [0, 2, 0],\n [1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, -2],\n [2, 2, 2],\n [-2, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[1, 0, -2],\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^3 where A =\n[[-2, 0, 0],\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": "31", "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 [3, -3, -3],\n [2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -3],\n [-2, 0, 0],\n [-3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -3],\n [-1, -2, 3],\n [-1, 2, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 2],\n [0, -3, 0],\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": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, -2],\n [-2, -2, -3],\n [2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -2],\n [0, 3, -2],\n [-2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-260", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, -3, 0],\n [0, 3, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 1],\n [0, 1, -2],\n [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": "243", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0],\n [0, -2, -3],\n [0, 0, -1]], 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": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, 1, -2],\n [1, 0, -2],\n [-2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-3, -1, 2],\n [-3, -1, 0],\n [1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\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": "26", "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, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 2, 3],\n [0, -2, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, -1],\n [0, 3, 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 2th power of the matrix:\n[[-2, -3, 0],\n [2, 1, 0],\n [-2, 3, -2]]\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 2th power of the matrix:\n[[3, -1, 1],\n [-1, 3, 3],\n [1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "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, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -1, 0],\n [-1, -1, 3],\n [0, 3, -1]]\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 (1, 1) of the matrix A^3 where A is:\n[[-1, 2, -1],\n [2, 0, -2],\n [-1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, -2],\n [0, -2, 0],\n [-2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, -1, -3],\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 value at position (1, 1) of the 3th power of the matrix:\n[[0, 0, -3],\n [0, 2, 1],\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^2 and find the value at position (1, 3) of the result:\nA =\n[[1, 0, 2],\n [0, -3, -1],\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 sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -2, -1],\n [-2, 2, -1],\n [-1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, -1, -3],\n [0, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 2],\n [-3, 2, 3],\n [-1, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 3],\n [2, 1, 2],\n [-3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "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, 2],\n [0, 0, 0],\n [2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "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, 2],\n [0, -2, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, -2],\n [0, 0, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 2],\n [3, -1, -2],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -2, -2],\n [-2, -1, -2],\n [-2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-1, -2, 0],\n [-2, -1, 0],\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[[-2, 0, 2],\n [0, 0, -2],\n [2, -2, -2]], 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[[-1, -1, -1],\n [0, 1, -3],\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": "154", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, 2],\n [0, -2, 0],\n [2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 2, 2],\n [-3, -2, 2],\n [2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, 2],\n [0, -3, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, -2],\n [0, -3, 1],\n [-2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, 2],\n [0, 1, 0],\n [2, 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[[-2, -1, 0],\n [-1, -1, -2],\n [0, -2, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-2, -2, 0],\n [-2, -1, -2],\n [0, -2, 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, -1],\n [-2, -2, 0],\n [-1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -2, 3],\n [-2, 0, 2],\n [3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, -1],\n [0, 2, 2],\n [0, 0, -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 (2, 1) of the matrix A^3 where A is:\n[[0, 0, 0],\n [0, -1, -1],\n [0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, -2],\n [0, -1, 2],\n [-2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -2],\n [-2, 2, 3],\n [2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -1, -1],\n [-1, 0, 0],\n [-1, 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[[-2, -3, 2],\n [3, 3, 1],\n [-2, 0, 2]], 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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0],\n [-1, 2, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -1],\n [-1, 3, -1],\n [1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0],\n [0, -3, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, 2],\n [1, 3, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, 2],\n [0, 0, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -2, -2],\n [2, 3, 0],\n [-2, 3, -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^2 where A =\n[[-1, -2, 2],\n [0, -1, 1],\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": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, -1],\n [0, 3, 3],\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^3 where A =\n[[0, 0, 2],\n [2, 2, 1],\n [-3, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, -1],\n [0, -1, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -3, 2],\n [3, -2, 3],\n [-2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, 0, -2],\n [0, 0, 2],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, 0],\n [0, -1, -3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1],\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": "-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[[-2, 2, -2],\n [0, -3, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -2],\n [0, -1, -2],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, 2, -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": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, 3],\n [0, 3, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, 1, -3],\n [-3, 2, 1],\n [-1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -3],\n [0, 1, 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": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-3, 2, -1],\n [0, 0, 1],\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[[1, 0, 0],\n [0, 3, 1],\n [0, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[1, -3, -2],\n [2, 1, 2],\n [-3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\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": "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[[3, 1, 1],\n [-2, -1, -1],\n [2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-2, -1, -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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 3],\n [0, 3, -1],\n [3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "615", "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, -2],\n [0, -2, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 1, 1],\n [0, -3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 3, -2],\n [-3, -3, 0],\n [-3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, -2, -3],\n [-3, 0, 2],\n [2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 0],\n [2, -1, -2],\n [-2, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 1],\n [-1, -1, 3],\n [-3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -2, -2],\n [-2, 2, 2],\n [-2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 1, -1],\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": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-2, 0, 0],\n [0, -1, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, 2, 0],\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": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-1, -1, 2],\n [0, 3, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 1],\n [2, 0, -2],\n [1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, -2],\n [0, -2, -2],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-312", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, 2],\n [3, -1, 3],\n [-3, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[3, 0, -1],\n [0, -3, -2],\n [-1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -3, -2],\n [-3, 2, -1],\n [-2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -1],\n [2, -1, 0],\n [-1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, 2],\n [2, 1, 3],\n [3, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, 3],\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[[1, 0, -1],\n [0, -3, 0],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 3],\n [3, -1, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, 2],\n [-1, 1, -1],\n [3, 2, -2]], determine the value at position (3, 1).\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, 2) of the 3th power of the matrix:\n[[3, 0, 0],\n [0, 1, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 0],\n [0, 3, -1],\n [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": "83", "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, 3, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, -3],\n [-2, -3, 0],\n [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": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[1, 3, -3],\n [2, 2, -3],\n [2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 0],\n [0, 1, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 3, 2],\n [0, 1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[3, 0, 3],\n [3, 1, 1],\n [-1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 0],\n [-2, 2, 0],\n [0, 0, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, -3],\n [3, 3, -2],\n [3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 1, 1],\n [0, 2, -3],\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 absolute values of all entries of the result:\nA =\n[[-1, -2, -1],\n [0, -2, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 3],\n [-3, 3, 3],\n [3, -3, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 0],\n [0, 0, 1],\n [0, 0, -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[[-1, 0, 0],\n [0, 3, 1],\n [0, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0],\n [-2, 0, 2],\n [0, 2, -3]], 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": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, 1, -2],\n [3, 1, -1],\n [0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -1],\n [-2, 1, 2],\n [-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": "105", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, -1],\n [0, -2, 3],\n [0, 0, 1]], determine the value at position (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^2 where A =\n[[-3, 0, -3],\n [2, -2, 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": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, 1],\n [0, 3, 2],\n [1, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\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": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\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": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 1, 1],\n [0, 1, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-3, 3, 3],\n [0, 3, -2],\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 sum of all entries of the matrix A^2 where A is:\n[[-1, 3, -3],\n [0, 3, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, -3, 1],\n [-3, 0, 3],\n [3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -2, -3],\n [1, 3, 2],\n [-2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 1],\n [1, -2, 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": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -2],\n [-2, -3, 2],\n [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": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, -2, -3],\n [-2, -3, 0],\n [-3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, -1],\n [0, 0, -1],\n [0, 0, 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^3 and find the value at position (1, 1) of the result:\nA =\n[[-3, -3, 3],\n [0, 3, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-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": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -3],\n [0, 3, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, -2],\n [-3, 0, 0],\n [-1, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, 1],\n [2, 1, 1],\n [1, 1, 1]]?\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 sum of all entries of the result:\nA =\n[[-1, 2, 1],\n [0, -1, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 3],\n [3, 1, -2],\n [2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 3],\n [0, 3, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 2, 0],\n [2, 1, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0],\n [-2, -1, 0],\n [0, 0, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-3, 2, 0],\n [2, 0, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 2, -1],\n [0, -1, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-2, -3, 0],\n [0, 1, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 3, -1],\n [0, 2, -3],\n [0, 0, -1]]\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 (2, 1) of the matrix A^2 where A is:\n[[-2, -3, 1],\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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -1],\n [2, 2, 1],\n [-1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\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": "85", "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, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, -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": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -3, -1],\n [-2, 2, 3],\n [-1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 0, 0],\n [0, 3, 3],\n [0, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 0],\n [1, -1, -2],\n [0, -2, 1]]?\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^2 where A is:\n[[-3, 1, 0],\n [1, 1, 1],\n [0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -2],\n [2, -3, 1],\n [-1, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[0, 0, -1],\n [0, 1, 2],\n [-1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 3],\n [0, -2, 3],\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": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, 2, -3],\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[[3, 0, -2],\n [-1, 0, 0],\n [-3, -3, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 1, -2],\n [1, 3, -2],\n [-2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -2],\n [2, -3, 0],\n [-2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "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, 1],\n [1, 0, -1],\n [2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, 2],\n [-2, -1, 3],\n [2, 3, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 2],\n [-1, -2, 3],\n [2, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 0],\n [-1, -1, 3],\n [-1, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[1, -1, 1],\n [-1, -2, -2],\n [1, -2, -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, 3, -3],\n [0, 0, 3],\n [0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 2],\n [1, -1, 3],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^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, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, 0],\n [-3, -1, -2],\n [0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[1, 2, -3],\n [-2, -3, -2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 0],\n [3, 1, -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": "19", "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, 3, 2],\n [-2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[2, -2, 0],\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": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -3, -3],\n [0, -1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 1],\n [0, -3, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-1, -3, -2],\n [-2, -2, -1],\n [-3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, 0],\n [0, -3, 0],\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^2 where A =\n[[-1, -1, 3],\n [0, -1, -3],\n [0, 0, -2]], 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": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[3, 1, 1],\n [0, 1, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, 3],\n [0, 3, -2],\n [0, 0, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -2],\n [0, 1, 3],\n [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^2 and find the value at position (1, 2) of the result:\nA =\n[[1, 3, -2],\n [0, -3, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, 1, 0],\n [0, 0, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-1, 0, 1],\n [0, 0, 0],\n [1, 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^2 and find the value at position (1, 1) of the result:\nA =\n[[3, 3, 2],\n [-3, 1, 3],\n [-3, 1, 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^3 where A is:\n[[0, -1, -1],\n [0, -1, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, -1, 0],\n [-1, -1, 0],\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 all entries of the 3th power of the matrix:\n[[-3, 1, 0],\n [1, 1, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 1],\n [0, -3, 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": "225", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -3],\n [0, 2, 0],\n [0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 3],\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": "222", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, 2],\n [0, 0, -2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[1, -2, -1],\n [1, -3, 1],\n [1, 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 absolute values of all entries of the matrix A^2 where A is:\n[[-2, -3, -2],\n [0, 0, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 0],\n [2, 3, 1],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-3, 2, 0],\n [2, -3, 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 (2, 3) of the matrix A^2 where A is:\n[[-2, -1, 3],\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": "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, 2, -2],\n [2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[1, 1, 0],\n [1, 1, 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[[-2, 0, 0],\n [0, -2, 1],\n [0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 3],\n [0, -2, -3],\n [3, -2, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[3, 2, -3],\n [3, -2, 1],\n [0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[3, 3, 2],\n [0, -1, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-3, -2, 0],\n [-2, 2, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 0, -2],\n [0, -3, 0],\n [-2, 0, 3]]\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 (1, 2) of the matrix A^3 where A is:\n[[3, -1, 3],\n [-1, 3, 0],\n [2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, 0, 0],\n [0, -2, 0],\n [0, 0, 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^2 where A =\n[[2, 3, -2],\n [0, 3, 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": "48", "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 [-2, 3, 3],\n [-3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "314", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -2],\n [-2, 0, 0],\n [-2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 3],\n [0, 2, -2],\n [0, 0, 0]]\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, -1, -2],\n [0, -2, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 2],\n [0, -2, -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": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -3, -1],\n [0, 2, -3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, -2],\n [2, -2, -1],\n [-2, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, 1, 1],\n [3, 0, -3],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 0, 0],\n [0, 3, 0],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2],\n [0, -1, -2],\n [-2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, 0],\n [1, -3, 0],\n [0, 0, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 2],\n [0, 2, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 1],\n [0, 2, 2],\n [0, 0, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 2, 1],\n [-2, 0, -3],\n [1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-1, 2, -3],\n [-2, 1, 1],\n [-2, -3, 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^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 2],\n [2, -1, -2],\n [2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[2, -2, 1],\n [0, 2, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, 1],\n [0, 1, -3],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, -3],\n [-1, -1, 3],\n [2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "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, 2, -2],\n [2, -3, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, 3],\n [-3, -1, -1],\n [0, -1, -1]]\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[[2, 0, 3],\n [0, -2, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -2, 3],\n [3, 2, -3],\n [0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -3],\n [-2, -2, 2],\n [0, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 3, 3],\n [0, -1, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, -2],\n [0, 3, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[0, -1, 2],\n [-2, 1, 2],\n [-3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 0],\n [0, 0, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 2],\n [0, -3, 0],\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^2 and find the value at position (1, 2) of the result:\nA =\n[[1, 1, 1],\n [0, 1, 1],\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 all entries of the matrix A^2 where A is:\n[[0, -3, -3],\n [0, -3, 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 sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -2, 3],\n [0, -2, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, -2],\n [0, -3, -3],\n [-1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -3, 0],\n [0, 0, -3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-3, -1, 1],\n [3, 1, -1],\n [-1, 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[[1, -2, 0],\n [0, -3, 0],\n [0, 0, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 2],\n [1, 0, 0],\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": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-2, -1, 0],\n [-1, -3, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 0],\n [3, 1, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, -1],\n [1, -2, -2],\n [-3, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[1, 2, 1],\n [1, 1, -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^3 and find the value at position (2, 2) of the result:\nA =\n[[3, 0, -3],\n [2, -3, 0],\n [2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -3, 0],\n [2, -3, 2],\n [-3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -1, 0],\n [0, 1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 3],\n [0, 3, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 1, 2],\n [1, 2, 2],\n [2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-2, -3, -3],\n [1, 3, -1],\n [-2, 0, -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^2 where A =\n[[-1, -2, 0],\n [3, 3, 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": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-1, -2, 1],\n [-2, -3, 0],\n [1, 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 sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 2],\n [2, 2, -2],\n [1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-2, 1, 0],\n [0, -1, 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 value at position (3, 3) of the matrix A^3 where A is:\n[[-3, -1, -2],\n [0, 3, -1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, -1, 0],\n [0, -3, -3],\n [-2, -2, 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[[0, -1, -3],\n [0, 0, 1],\n [0, 0, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, 0],\n [2, 1, 0],\n [0, 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^2 and find the value at position (2, 2) of the result:\nA =\n[[-2, 1, -2],\n [0, 3, -1],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -1],\n [-1, -2, -2],\n [-1, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 0],\n [0, 3, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 2, -2],\n [0, 0, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, 2],\n [0, -2, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 3],\n [0, -3, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, -2],\n [2, 3, 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": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 2],\n [0, -3, 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": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -2],\n [2, 2, 1],\n [-1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 2],\n [0, 3, 1],\n [0, 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 2, -1],\n [2, 1, 0],\n [-1, 0, 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^2 and find the value at position (3, 3) of the result:\nA =\n[[-3, 1, 0],\n [1, 2, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 0],\n [-2, -2, 0],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-1, 1, -2],\n [0, -2, -3],\n [3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -1],\n [-3, 1, -2],\n [3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[1, 0, 0],\n [0, -2, 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 sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -1, 2],\n [-2, 0, -2],\n [1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -3, -2],\n [2, 0, -3],\n [2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 2],\n [-2, -3, 3],\n [-2, -2, 1]], determine the sum 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 value at position (2, 2) of the matrix A^2 where A is:\n[[-1, -3, 2],\n [0, -3, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -1],\n [2, -1, 0],\n [-1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, -3],\n [0, 3, -3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[1, 0, -3],\n [0, 2, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 0],\n [-2, 0, -2],\n [0, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [0, 1, 0],\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[[1, 1, 1],\n [0, 0, -2],\n [0, 0, -3]], 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 sum of all entries of the 2th power of the matrix:\n[[3, 0, 0],\n [0, -2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[2, -1, 3],\n [1, -2, -3],\n [2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -3],\n [0, 3, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1],\n [-2, -2, -2],\n [3, 0, 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[[-2, 3, 2],\n [0, -3, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 1, 2],\n [0, -1, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 3, 3],\n [1, 2, -3],\n [-3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 0, 1],\n [0, 3, -1],\n [1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 1],\n [-2, 0, -2],\n [1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, -2],\n [0, -2, 2],\n [-3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, -1],\n [-2, -2, -3],\n [-3, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, -1],\n [0, -3, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 2, 0],\n [2, 2, 1],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -2],\n [-2, 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": "12", "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, 2, 0],\n [2, 0, -2],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, -3],\n [-3, -2, 0],\n [-3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 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": "250", "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, 2],\n [0, -1, -2],\n [0, 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 value at position (2, 1) of the result:\nA =\n[[2, -3, 0],\n [1, -2, -1],\n [-3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 0],\n [-2, -2, -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": "395", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 1],\n [0, 0, -1],\n [0, 0, 0]], 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^3 and find the sum of all entries of the result:\nA =\n[[2, -2, -2],\n [0, 2, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 2],\n [1, 0, 2],\n [-3, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 0],\n [0, -1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[1, -3, -1],\n [0, -1, -2],\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 value at position (3, 3) of the matrix A^2 where A is:\n[[-2, 3, 0],\n [2, -1, 2],\n [3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, 2, 3],\n [3, -3, -1],\n [-3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 0],\n [-2, 0, -3],\n [0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 0],\n [3, -1, 3],\n [-2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -1],\n [-2, 0, 1],\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": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 0],\n [2, 1, -2],\n [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": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, 0],\n [2, 2, 0],\n [1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, -2],\n [-3, 1, -2],\n [-3, 2, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -2],\n [2, 0, -3],\n [3, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, 1, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -2, 3],\n [-2, -3, 2],\n [3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -2, 0],\n [-2, 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": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[1, -3, 3],\n [0, 3, 1],\n [-2, -3, 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, 2) of the matrix A^3 where A is:\n[[2, -1, -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": "For the matrix power A^3 where A =\n[[-3, -1, 1],\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": "-117", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 0, -2],\n [0, 1, 2],\n [-2, 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, 1) of the result:\nA =\n[[3, 1, 0],\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": "For the matrix power A^3 where A =\n[[-2, 2, 0],\n [2, 0, 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": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, -3],\n [1, -1, -1],\n [-2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 1],\n [0, -2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, -1],\n [0, 1, 1],\n [-1, 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[[1, 3, -1],\n [0, -3, 0],\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": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -2, 0],\n [-1, -2, 0],\n [0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-3, 2, -3],\n [0, 2, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[2, -1, 1],\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": "For the matrix power A^3 where A =\n[[-1, 0, -2],\n [0, -3, 1],\n [0, 0, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 0, 1],\n [0, 2, -1],\n [1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 3, -3],\n [1, -3, 2],\n [-2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0],\n [0, 3, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 1],\n [-1, -2, 0],\n [1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-3, 3, 3],\n [0, -1, 2],\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^2 where A is:\n[[0, 2, 0],\n [2, 1, 0],\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^2 where A =\n[[3, 0, -2],\n [0, 1, 0],\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": "27", "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, 1, 3],\n [0, 2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, 0],\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": "For the matrix power A^3 where A =\n[[2, 0, 1],\n [0, 3, -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": "96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -3],\n [0, -2, 2],\n [0, 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": "For the matrix power A^2 where A =\n[[2, -3, 3],\n [-3, 1, 3],\n [0, 3, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, 0, -2],\n [2, 3, -1],\n [3, 3, -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[[0, -1, -1],\n [-1, -1, 1],\n [3, -3, 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 3th power of the matrix:\n[[-3, -2, 1],\n [0, 2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 2, -3],\n [0, 2, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -2],\n [-2, 3, 0],\n [-2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 3],\n [2, -2, 3],\n [-3, -1, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -1],\n [3, 0, 3],\n [-1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "224", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, 0],\n [0, 1, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -2, 0],\n [0, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, -1],\n [-3, -3, 1],\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": "83", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[0, -1, -1],\n [0, 1, -1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2],\n [0, 3, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, -2],\n [-1, -2, 1],\n [-2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 0, -1],\n [0, 3, 0],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, 0],\n [-3, -1, 0],\n [-3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -1, 2],\n [0, 3, -2],\n [0, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[0, 0, 0],\n [0, 1, -2],\n [0, -2, 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[[2, -3, 0],\n [-3, -3, 1],\n [0, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 3],\n [0, 0, -1],\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": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, 2, 0],\n [2, -2, -1],\n [0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-2, -2, 0],\n [-2, -2, -2],\n [0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0],\n [-2, -1, 2],\n [0, 2, -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 value at position (1, 1) of the 2th power of the matrix:\n[[3, 1, 0],\n [1, -2, 2],\n [0, 2, -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^2 and find the value at position (3, 3) of the result:\nA =\n[[-3, -1, 1],\n [2, -3, -3],\n [1, 1, -1]]\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^3 where A is:\n[[0, -2, 0],\n [3, 2, 0],\n [-2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 2, 3],\n [0, 2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 1, -2],\n [0, -3, -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 absolute values of all entries of the result:\nA =\n[[1, 1, 3],\n [-3, 1, -3],\n [3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283", "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, 0],\n [2, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -3, 2],\n [0, -1, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -2],\n [0, -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": "227", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-2, -2, 0],\n [-1, -2, -1],\n [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^2 where A =\n[[-1, 0, 2],\n [-3, -2, 1],\n [0, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 0],\n [1, 0, 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": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 0],\n [0, -2, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 2],\n [2, -1, 3],\n [-2, -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, 2) of the 3th power of the matrix:\n[[-2, 2, -2],\n [-1, 0, 0],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 0],\n [-3, -1, 3],\n [2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2],\n [0, 0, 1],\n [-2, 1, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 1],\n [1, -1, 1],\n [1, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 1],\n [1, -3, 2],\n [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": "214", "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, 3],\n [0, 2, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, -1],\n [0, -3, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 1, 3],\n [2, -2, 0],\n [0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 0],\n [0, 2, 0],\n [0, 0, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -2],\n [2, -3, -1],\n [-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 (3, 1) of the 2th power of the matrix:\n[[3, -1, -3],\n [-2, -2, -2],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) 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": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -3, -3],\n [0, 2, 3],\n [0, 0, 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 (3, 1) of the 3th power of the matrix:\n[[1, -3, -1],\n [2, -1, -1],\n [-2, 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 absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 2],\n [0, 2, -1],\n [2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "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, -1, 3],\n [2, -3, 1],\n [3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [0, -3, 0],\n [0, 0, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 2, 3],\n [0, 1, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\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": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 3],\n [0, -1, 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": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, 0],\n [0, 2, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, -1],\n [1, -1, -2],\n [-1, -2, 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, 0],\n [0, 0, 3],\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 absolute values of all entries of the result:\nA =\n[[-1, 0, -2],\n [-2, -1, -1],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, 3, 0],\n [2, -2, -3],\n [-1, 2, 0]]\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, 1) of the matrix A^3 where A is:\n[[-3, -1, 0],\n [0, -1, 1],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 3],\n [-2, 2, 3],\n [-1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, -1, -1],\n [0, 1, -2],\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^3 and find the sum of all entries of the result:\nA =\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": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 1],\n [0, -3, 0],\n [1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[1, 1, 2],\n [0, -2, 2],\n [0, 0, 2]]\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[[3, -2, 1],\n [-2, -3, -2],\n [1, -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 all entries of the 2th power of the matrix:\n[[0, -2, -3],\n [0, -2, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -3],\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": "14", "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 [0, 3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, -1, 1],\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": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [0, -1, -2],\n [0, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "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, 2, 0],\n [-2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, 0],\n [-1, -1, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -3, 1],\n [1, -1, -1],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, 1],\n [3, -3, 0],\n [-1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 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": "-2", "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 [2, 2, 0],\n [2, 0, -3]]\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^2 where A is:\n[[1, 0, -2],\n [0, -2, 0],\n [-2, 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^2 where A is:\n[[0, 1, 1],\n [-1, 1, 0],\n [3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[2, -2, 0],\n [0, -1, -1],\n [0, 0, 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^3 where A =\n[[-3, -1, -1],\n [2, -3, -3],\n [-2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 3, -2],\n [1, 0, -1],\n [-1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 3, 1],\n [-3, -3, -2],\n [-2, -1, -2]]\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, 1) of the matrix A^3 where A is:\n[[3, 3, 3],\n [0, -2, -1],\n [1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 2],\n [2, 2, -2],\n [2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, -2],\n [0, 3, 2],\n [-2, 2, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[3, 2, 0],\n [-3, -1, -2],\n [3, 1, 2]]\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[[-2, 3, 2],\n [0, -1, 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": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 1, 3],\n [0, -1, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -1],\n [0, 2, 3],\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": "28", "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 [0, 0, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 1],\n [0, 0, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 2, 1],\n [2, 3, 0],\n [1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, -1, -1],\n [2, 3, 3],\n [3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, -3, -2],\n [0, 1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2],\n [1, -3, -2],\n [-2, 3, 0]], 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 1, -2],\n [0, -2, -2],\n [2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-2, 3, 3],\n [0, 0, 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^2 where A is:\n[[0, -1, 2],\n [0, -2, -2],\n [-2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 1],\n [0, 2, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, -1],\n [0, -3, -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": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, 3],\n [0, 0, 3],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, -1, -3],\n [0, -1, 0],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -2],\n [0, 2, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[3, 2, 0],\n [2, 0, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[2, -3, 0],\n [0, -2, -2],\n [0, 0, -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[[-3, 0, -1],\n [0, 0, -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": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[2, -2, 3],\n [0, -3, -1],\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 value at position (3, 2) of the result:\nA =\n[[1, 1, -3],\n [-2, 2, -2],\n [-2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[2, -2, 0],\n [-2, 2, 1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[0, -3, 2],\n [1, 3, -1],\n [-2, 1, 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^2 where A =\n[[-2, 0, 1],\n [0, 2, 0],\n [1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, 1, -1],\n [0, -2, 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^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 1],\n [2, -2, 0],\n [1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[0, 0, 0],\n [0, 3, 1],\n [0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 3, -2],\n [0, -2, 0],\n [0, 0, -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 3th power of the matrix:\n[[0, 1, 0],\n [0, 0, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -2],\n [0, 0, 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": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0],\n [0, 2, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, 0],\n [0, -2, -3],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -3],\n [0, 2, 3],\n [-3, 2, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 3, -2],\n [-3, 0, 0],\n [-1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 0],\n [-1, -3, -3],\n [-2, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [0, 3, 2],\n [0, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-3, 1, -1],\n [0, 2, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-1, 0, -1],\n [0, 3, 0],\n [-1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -3, 3],\n [0, 2, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 3, -2],\n [0, -3, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, -2],\n [2, -3, 0],\n [-2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [0, 0, 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": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[2, 1, -3],\n [0, -3, 0],\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 sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -2],\n [-1, 2, -2],\n [2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -1],\n [0, -2, 0],\n [0, 0, -3]]\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, 0, -3],\n [0, -1, -1],\n [-3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -1, 2],\n [0, 2, -3],\n [0, 0, -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, 1],\n [0, 2, 3],\n [0, 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 all entries of the 3th power of the matrix:\n[[0, 0, -3],\n [0, 0, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, -2],\n [3, 0, 3],\n [-3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 1],\n [-1, -2, 0],\n [-1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 2],\n [2, -2, 1],\n [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": "214", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -3],\n [0, -2, -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": "80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, -1, 0],\n [0, 0, -2]]\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[[3, -1, 0],\n [0, 0, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, -3, -2],\n [-1, -2, 2],\n [-1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 0],\n [2, 2, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -1],\n [3, -2, -2],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[0, 2, -1],\n [-2, -3, -3],\n [3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, -2, 3],\n [-2, -3, 3],\n [-2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, -2],\n [0, 2, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, 3],\n [-1, -3, 1],\n [-3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-2, 0, 1],\n [0, 1, 1],\n [1, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 1],\n [1, -3, 1],\n [-1, -1, -2]]\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 (2, 1) of the matrix A^3 where A is:\n[[-1, -2, 0],\n [-2, -2, 1],\n [0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -2, 2],\n [0, 0, -2],\n [2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -2, -3],\n [0, -2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 0],\n [0, 3, -1],\n [0, -1, -2]], determine the value at position (2, 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^2 and find the value at position (2, 2) of the result:\nA =\n[[1, 0, 2],\n [3, -3, 0],\n [-2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, 2, -2],\n [-3, 1, 1],\n [0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -2],\n [0, 2, -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": "97", "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],\n [0, -1, 2],\n [0, 2, 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 (2, 3) of the matrix A^3 where A is:\n[[0, 3, -3],\n [2, 3, -2],\n [-3, -1, -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, -2, -3],\n [-2, 1, 1],\n [-3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0],\n [-2, -1, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, -3],\n [2, 0, -2],\n [0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 2],\n [1, 2, -1],\n [3, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[3, -2, 2],\n [1, 3, -3],\n [2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, 1, -1],\n [-1, -1, -3],\n [-2, 2, 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 absolute values of all entries of the result:\nA =\n[[-2, 3, -2],\n [1, 2, 1],\n [-1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, -2, 0],\n [-3, -3, 3],\n [-1, -1, -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 value at position (2, 3) of the result:\nA =\n[[-1, 0, -2],\n [2, -3, -1],\n [-2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 3],\n [0, 3, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 3, -2],\n [-2, 1, 3],\n [-1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-1, -2, 0],\n [0, 1, -3],\n [-1, 1, 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^2 where A =\n[[3, 1, 1],\n [3, 0, 3],\n [1, 3, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 1],\n [2, -3, -1],\n [-3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, -2],\n [-2, -1, 2],\n [-2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[0, -3, 0],\n [-3, 3, 1],\n [1, 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 sum of all entries of the result:\nA =\n[[-3, 2, 1],\n [2, -1, 1],\n [1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -3, -2],\n [0, 3, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[2, -1, 0],\n [0, -1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2],\n [0, -2, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 3],\n [-2, 1, 2],\n [-3, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -2],\n [0, -1, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -1],\n [3, 1, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-3, 3, -3],\n [1, -1, 2],\n [-1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, -2],\n [0, -2, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -2, -3],\n [0, -3, 1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 1, -1],\n [0, 3, 3],\n [0, 0, -2]]\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 2th power of the matrix:\n[[0, 1, 3],\n [-1, 0, 1],\n [-2, 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[[-1, 0, -2],\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": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0],\n [2, 2, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -1, 2],\n [0, 2, -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 absolute values of all entries of the result:\nA =\n[[0, 3, -1],\n [-2, -3, -1],\n [-3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 2],\n [-3, -3, 0],\n [2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, -1],\n [0, 2, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, -1],\n [-2, 2, -2],\n [-2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, 0],\n [1, -3, 1],\n [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": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 2],\n [-3, -3, 0],\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": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -1, -1],\n [0, -3, 3],\n [0, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 0],\n [-3, 2, 3],\n [0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 2],\n [0, 1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 1],\n [0, 1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 1, -2],\n [-2, 3, 3],\n [0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\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": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\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": "4", "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 [-3, 0, 1],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 1],\n [0, 2, 0],\n [3, -1, 1]], 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^3 where A =\n[[3, -1, -2],\n [0, 1, 0],\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": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-2, 3, 1],\n [0, 3, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -3],\n [2, 2, 2],\n [-3, 2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "490", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 2],\n [2, -3, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 0, 0],\n [0, 3, 2],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2],\n [0, 0, 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": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-1, -2, 0],\n [0, 3, 0],\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 3th power of the matrix:\n[[0, 2, -1],\n [2, 2, -3],\n [-1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "542", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 0],\n [0, 0, 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": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -2, -1],\n [-3, 2, 0],\n [-1, -1, 1]]?\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^2 where A is:\n[[1, 0, 0],\n [0, -1, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, -2, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, 0, 2],\n [3, -3, -1],\n [2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -2],\n [1, 0, -1],\n [-3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, -3, 1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 1],\n [0, 2, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 0],\n [2, -2, -1],\n [0, -1, 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 (2, 2) of the 3th power of the matrix:\n[[0, -3, 3],\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 all entries of the 2th power of the matrix:\n[[2, 3, 3],\n [-2, -3, 0],\n [3, 2, 0]]\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, 0, 0],\n [0, -2, 2],\n [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": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries 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": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 1],\n [0, 1, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, -2, -2],\n [-2, -3, -2],\n [-2, -2, 1]]\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 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": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 3],\n [0, -1, -2],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -1],\n [3, 3, 2],\n [-2, 0, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, -2, -2],\n [0, 0, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 2, 3],\n [0, 3, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[1, -2, 1],\n [-3, -2, -1],\n [2, -3, 0]]?\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, 0, -2],\n [0, 1, -1],\n [-2, -1, 2]]\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 2th power of the matrix:\n[[-2, 0, 1],\n [0, -1, 0],\n [1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, 0],\n [0, 2, -1],\n [0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, 0],\n [1, -2, 1],\n [0, 1, 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^2 where A =\n[[-3, -2, -3],\n [-2, -2, 0],\n [-3, 0, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -1],\n [0, 0, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 2],\n [-3, 2, 2],\n [-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": "228", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -2, 1],\n [-2, 0, -2],\n [1, -2, 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^2 where A =\n[[3, 0, 0],\n [0, 2, 2],\n [0, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, 0, 3],\n [-3, 2, 3],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "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, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -3],\n [0, 2, -1],\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": "94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 2],\n [0, -1, 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": "126", "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, 0],\n [2, 1, 2],\n [0, 2, 3]]?\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 2th power of the matrix:\n[[-3, 1, 0],\n [1, 1, -2],\n [0, -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[[1, -1, -1],\n [0, -1, 0],\n [0, 0, -3]]\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 2th power of the matrix:\n[[0, -3, -2],\n [1, -3, 1],\n [3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -3, 0],\n [0, 3, -3],\n [-3, -3, 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 (3, 1) of the matrix A^2 where A is:\n[[2, 2, -3],\n [0, 1, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, 0, 0],\n [0, 0, 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 sum of all entries of the matrix A^3 where A is:\n[[0, 0, -2],\n [0, -3, 2],\n [-2, 2, 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[[1, 0, -2],\n [0, 1, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 2],\n [0, 0, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[3, -2, -1],\n [0, -3, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, 3, 0],\n [3, -1, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 2, 2],\n [2, 2, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, -3, 0],\n [-1, -3, -2],\n [2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 1],\n [0, -3, 0],\n [0, 0, -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^2 where A =\n[[0, 1, -1],\n [0, 3, 3],\n [0, 0, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -1],\n [-2, -3, -1],\n [-1, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-2, 0, 1],\n [0, 2, -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 all entries of the 3th power of the matrix:\n[[2, -2, 0],\n [-2, -2, 0],\n [0, 0, -3]]\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 absolute values of all entries of the result:\nA =\n[[2, 2, -3],\n [2, 2, -2],\n [-3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[-2, -1, 0],\n [0, 0, 1],\n [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 value at position (1, 3) of the matrix A^2 where A is:\n[[-1, 2, -1],\n [0, 1, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2],\n [-2, 3, -3],\n [3, 3, 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 3th power of the matrix:\n[[2, 3, -1],\n [0, 0, 1],\n [3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 0],\n [0, 1, -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": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[2, -1, 2],\n [-1, 3, -1],\n [2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 2, -2],\n [0, -1, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 1, -2],\n [0, -2, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 2],\n [-3, 1, -3],\n [3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "557", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, -1],\n [0, 1, 2],\n [0, 0, 0]]\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[[3, -3, 1],\n [0, 2, 0],\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": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-1, -2, -1],\n [0, 1, 1],\n [0, 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^2 where A =\n[[0, 0, -3],\n [0, 3, 2],\n [0, 0, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, -2, 2],\n [2, -3, 3],\n [-1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, 2],\n [0, 0, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[3, -2, 1],\n [-2, 3, 1],\n [1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, 2, -2],\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": "For the matrix power A^3 where A =\n[[3, 1, -1],\n [0, -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": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, -2],\n [0, 3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 3, -3],\n [-2, 2, 3],\n [-2, 1, 1]]\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[[2, -3, -2],\n [-3, 3, -2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -1],\n [0, 3, -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": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 0],\n [1, 2, 2],\n [0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, 1],\n [1, 3, 1],\n [3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 1],\n [0, 3, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, -3],\n [0, 1, 3],\n [0, 0, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -1],\n [0, -3, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -3, 3],\n [0, 1, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, 1],\n [0, -1, 2],\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": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[1, 1, 1],\n [-1, 0, 1],\n [2, 1, 2]]\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[[-3, 0, -2],\n [0, -3, -3],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-391", "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, 0, -2],\n [2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -3],\n [-3, -1, 2],\n [-3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "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, 0, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[2, -2, 0],\n [-2, 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 sum of all entries of the matrix A^3 where A is:\n[[2, 2, 1],\n [3, 2, 3],\n [1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "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, 2],\n [2, -2, -2],\n [-3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -3, 1],\n [0, -3, 0],\n [0, 0, 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^2 and find the value at position (1, 1) of the result:\nA =\n[[-1, 0, 0],\n [0, 0, -1],\n [0, -1, 2]]\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[[2, -2, 1],\n [-2, 1, 2],\n [1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0],\n [0, -2, -2],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -3],\n [3, 1, -2],\n [1, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "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, 3, -3],\n [2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 2],\n [0, -1, 2],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, -3],\n [0, 1, 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": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[0, 2, 0],\n [0, 2, -2],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -1],\n [2, -2, -1],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[0, -1, -1],\n [0, 0, -1],\n [1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, 2],\n [3, 1, 0],\n [2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -1, 1],\n [1, -2, -1],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[3, 2, -1],\n [0, -1, 2],\n [3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 1, 3],\n [0, -2, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, 2],\n [0, 1, -2],\n [0, 0, -3]], 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 0],\n [2, -1, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -3],\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": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[0, -2, 1],\n [-2, 1, -2],\n [1, -2, 0]]\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 (3, 1) of the matrix A^3 where A is:\n[[3, 0, -1],\n [0, 2, 1],\n [-1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 2],\n [-2, 3, 2],\n [-1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 0, 2],\n [0, -2, -1],\n [0, 0, 0]]\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^2 where A is:\n[[3, 0, 0],\n [1, -3, 2],\n [1, 2, 0]]?\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 (2, 3) of the matrix A^2 where A is:\n[[-3, 3, 0],\n [0, -2, -2],\n [0, 0, -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 2th power of the matrix:\n[[0, 3, -3],\n [-3, 1, 2],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, -3, 0],\n [-3, -3, -1],\n [0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, 0],\n [0, -1, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -2, 0],\n [1, -1, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 2],\n [0, -1, -2],\n [2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 1, -3],\n [-2, 1, 1],\n [3, -2, 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^2 where A =\n[[-1, -2, -1],\n [0, 3, 2],\n [0, 0, 3]], 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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, 0],\n [0, 2, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, 0, 2],\n [0, 3, 2],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-1, -2, 3],\n [3, 2, -1],\n [-3, -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 2th power of the matrix:\n[[0, 1, 2],\n [0, 0, 3],\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 value at position (1, 1) of the result:\nA =\n[[3, 1, -1],\n [0, 2, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-2, 0, -2],\n [0, -2, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -2],\n [3, 2, 0],\n [-3, -2, -2]], 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 0],\n [-2, 0, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, 2],\n [-1, -1, 3],\n [2, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 3],\n [0, 3, -1],\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": "32", "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 [-3, 2, 0],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, -1],\n [3, 2, -3],\n [-2, 1, 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[[0, 0, -2],\n [0, -1, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 2, 0],\n [0, -3, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 3],\n [0, -3, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[3, -2, -1],\n [0, 3, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 2],\n [1, -3, -2],\n [2, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, 3],\n [0, -1, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 1],\n [0, 2, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -1, 3],\n [-1, 3, -2],\n [1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[1, 0, 0],\n [0, 3, 2],\n [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^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, -1, -1],\n [-1, -2, -2],\n [-1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -2, -2],\n [-2, 0, 2],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 1],\n [2, -2, -2],\n [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": "400", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 1, 3],\n [1, -3, 3],\n [2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-3, -3, -2],\n [0, -3, 0],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[1, 1, 3],\n [3, 0, 3],\n [-1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[0, -1, 0],\n [-1, 2, -1],\n [0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 3],\n [0, 1, -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": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-2, -3, 0],\n [0, 0, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, 0],\n [0, 0, 0],\n [2, -3, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 2],\n [0, -2, -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": "167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 1],\n [-3, 3, 0],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 0],\n [0, -3, -1],\n [0, -1, 0]], determine the value at position (2, 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[[1, -2, -3],\n [-1, 3, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, 1],\n [-1, -2, -2],\n [1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -2],\n [0, -1, 0],\n [-2, 0, 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^2 where A is:\n[[1, 2, 2],\n [2, 2, -2],\n [2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -3],\n [0, 1, -3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 1],\n [1, -3, 0],\n [3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-1, -1, 3],\n [-1, 1, 2],\n [3, 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 absolute values of all entries of the 2th power of the matrix:\n[[0, 0, -2],\n [0, -1, -1],\n [-2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -3, -3],\n [0, 2, -3],\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^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -1],\n [2, 1, 0],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 0, -1],\n [0, 2, 0],\n [-1, 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^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 1],\n [0, -3, 0],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -3],\n [-3, 2, -3],\n [1, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "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, 1],\n [0, -3, 3],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-3, 1, 0],\n [1, -1, -1],\n [0, -1, -2]]\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 (3, 2) of the matrix A^3 where A is:\n[[-1, 3, 0],\n [3, -2, -1],\n [1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, -2],\n [-2, 0, 2],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "363", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 3, -1],\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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 0],\n [0, 0, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 2],\n [0, 0, -1],\n [0, 0, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th 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": "165", "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, 0, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 2],\n [-2, -2, 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": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 0],\n [2, -3, -1],\n [0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, -3, 2],\n [0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 0],\n [0, 3, 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": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[3, 0, -2],\n [0, 2, -2],\n [-2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, -3],\n [0, 3, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 0],\n [2, 3, 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": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -3],\n [0, 2, 0],\n [-3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 0],\n [0, -1, 0],\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[[-2, 2, 3],\n [3, -1, 2],\n [-1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, 3],\n [0, -1, -1],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -1],\n [-1, 3, -1],\n [1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 3],\n [2, -2, 2],\n [-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": "160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, -1],\n [0, 1, -3],\n [-1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 1],\n [0, 1, -2],\n [1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 0],\n [1, 1, 1],\n [0, 1, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, -3, 1],\n [0, -2, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -2],\n [-3, 2, -2],\n [-2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -3, 3],\n [0, 2, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 0, -2],\n [0, 1, 0],\n [-2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, -3],\n [1, -1, -3],\n [3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 0],\n [0, -2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 3],\n [0, -1, -1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, -1],\n [-2, 2, 1],\n [-1, 1, -2]]\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, -2, 1],\n [0, 2, -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": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 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": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, 1],\n [3, 3, 0],\n [2, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -3, 3],\n [0, 3, 0],\n [0, 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 absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -2],\n [2, 0, 0],\n [-2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, 3, 0],\n [3, -2, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "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, 2, 0],\n [2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 0],\n [0, 1, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 2, 1],\n [-1, 1, 2],\n [1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 3, 1],\n [0, 3, 0],\n [1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\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": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, -1],\n [3, 2, -2],\n [3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, 0, 1],\n [0, 3, 0],\n [0, 0, -3]]?\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[[1, -1, 0],\n [-1, 2, 2],\n [-3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, -1, 0],\n [3, 0, 3],\n [-3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, 2, 2],\n [0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [-2, 0, -2],\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": "16", "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 [-2, -1, 0],\n [3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 1],\n [1, -3, 3],\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": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, -1],\n [-3, -2, 0],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-266", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, -2, 0],\n [-2, 0, 1],\n [0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -2],\n [1, -1, -2],\n [-1, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -2, 1],\n [0, 1, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 2],\n [-1, -2, -2],\n [2, -2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, -2, 0],\n [-2, 2, 3],\n [-2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 1],\n [0, 0, -2],\n [0, 0, -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[[2, 0, 0],\n [0, -3, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 2],\n [0, -2, 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": "17", "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 [-2, 3, 0],\n [-1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[0, -3, 3],\n [0, -3, -1],\n [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 value at position (2, 2) of the matrix A^3 where A is:\n[[2, 3, -3],\n [2, 2, -1],\n [0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-1, 1, 1],\n [0, 0, -2],\n [-3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [3, 2, 0],\n [-3, -2, 2]], 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 3, 0],\n [3, -1, 0],\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^3 where A =\n[[3, -3, -2],\n [0, 0, 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": "-63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 2],\n [0, -3, 0],\n [-1, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, -1],\n [3, -2, 2],\n [-1, 2, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\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": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0],\n [0, 2, -1],\n [0, 0, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 0],\n [0, 0, -2],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -3, -3],\n [0, -2, 0],\n [-1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -3],\n [3, 0, 2],\n [3, 3, -3]]\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 (2, 1) of the matrix A^3 where A is:\n[[0, -1, 1],\n [0, -3, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2],\n [0, 0, -1],\n [-2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -2, -3],\n [-2, 0, -2],\n [-1, -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[[0, 1, 2],\n [1, -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": "175", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 3],\n [2, -3, 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": "55", "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, -1, 2],\n [0, 1, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, 0],\n [-2, 3, 2],\n [3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "286", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-2, 1, -1],\n [-1, 1, -1],\n [-1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -1, 2],\n [-1, -3, -2],\n [2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 3],\n [0, 2, 2],\n [0, 0, -2]], 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, -1],\n [-2, -1, 0],\n [-2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-294", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, 0, 0],\n [0, 3, 2],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -3, 1],\n [3, 2, 1],\n [0, 3, 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^3 where A =\n[[3, -2, -2],\n [-2, -1, 1],\n [-2, 1, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, 3],\n [-2, -1, 2],\n [3, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 3],\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": "23", "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, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0],\n [3, -2, -2],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, -2],\n [2, -3, 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": "50", "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, 0],\n [1, -3, -2],\n [0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 3, 3],\n [3, -3, 2],\n [-3, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2],\n [0, -2, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 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": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, 1, -3],\n [2, 2, 2],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-2, -1, -3],\n [-1, 3, -3],\n [-2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 1],\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": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -3, -1],\n [-3, 0, 0],\n [-1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -3],\n [0, 3, -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": "-33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -3, 1],\n [-1, -3, -3],\n [2, 3, -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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -3],\n [-2, -1, 0],\n [-3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "513", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 2],\n [0, 0, 1],\n [1, 3, -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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 0, 0],\n [0, 3, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -1, 3],\n [0, -2, -1],\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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 2],\n [0, 2, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0],\n [0, 3, -3],\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": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, 1],\n [0, 0, 3],\n [0, 0, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 2],\n [-2, 3, 2],\n [2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 3],\n [0, 1, 2],\n [0, 0, 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, 2, 0],\n [2, 3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -1, 0],\n [-1, 1, 3],\n [0, 3, 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, 2, -1],\n [2, 3, -2],\n [-1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\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": "10", "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, 3, 1],\n [2, 1, -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[[0, 3, -2],\n [3, 2, -2],\n [-1, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-2, -1, -2],\n [-1, 1, -3],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 2, 0],\n [2, -3, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, -1],\n [0, -3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [-2, -2, 2],\n [-1, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-2, -1, -3],\n [0, -1, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -3],\n [0, 2, 2],\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": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, 2, 2],\n [2, -2, -1],\n [2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2],\n [-2, 3, 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": "288", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, 1],\n [0, -3, 3],\n [0, 0, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 0],\n [0, 1, -2],\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[[2, 0, 3],\n [0, 2, 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": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[0, -2, 2],\n [-1, 1, 3],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 2],\n [-1, 2, 3],\n [-1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 1],\n [0, -2, -3],\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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 1, 0],\n [1, 2, 0],\n [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 (1, 1) of the 2th power of the matrix:\n[[-1, 1, 1],\n [0, 0, -2],\n [0, 0, 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^2 where A =\n[[-3, 0, 3],\n [0, -3, 0],\n [2, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -2],\n [2, -1, 3],\n [2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 1],\n [-3, -1, -3],\n [0, -3, -1]], determine the sum 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 value at position (1, 1) of the matrix A^3 where A is:\n[[0, -3, 2],\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^2 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, -1],\n [-3, -2, 2],\n [3, 3, 1]]\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^2 where A is:\n[[1, 1, 0],\n [1, 3, -1],\n [0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-2, -2, -2],\n [0, 2, -2],\n [0, 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 sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0],\n [2, 2, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, -1, -3],\n [0, -1, -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 3th power of the matrix:\n[[2, 0, 0],\n [0, -1, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, 0],\n [0, -1, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -3],\n [3, 0, -2],\n [-1, 2, 3]], 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^2 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1],\n [1, 2, 0],\n [-3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, 1, 3],\n [-2, -3, 0],\n [3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, 2, 0],\n [0, 0, -3]], 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 (3, 2) of the matrix A^3 where A is:\n[[-3, -2, -1],\n [0, -1, 2],\n [0, 2, -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 absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -2],\n [2, -3, 0],\n [-2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "310", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [0, -1, 2],\n [0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[2, 3, 0],\n [0, -1, 0],\n [0, -3, -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[[1, -1, 0],\n [1, -1, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-1, 3, -2],\n [3, -2, 2],\n [3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, -3],\n [0, -2, 1],\n [0, 0, -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^2 where A =\n[[-2, 3, -2],\n [0, 2, 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": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, 2, 0],\n [2, -1, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 0],\n [1, 2, 3],\n [-3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-2, 0, 1],\n [0, -3, 1],\n [1, 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^2 where A =\n[[2, 2, 3],\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": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[3, -1, 2],\n [-1, 2, 2],\n [-1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 1],\n [1, -2, -2],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, 0, 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^3 where A =\n[[2, -3, 0],\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": "-39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 2],\n [3, 2, -1],\n [0, 0, -2]], determine the value at position (2, 3).\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, -3, -2],\n [0, 1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 1],\n [-2, -2, 3],\n [-1, -1, -3]], 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[[-2, 0, 1],\n [0, 1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, -3],\n [-2, -3, -1],\n [-1, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 1, -1],\n [0, -2, -1],\n [0, 0, 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[[0, 2, -2],\n [-3, -2, 1],\n [3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 2],\n [-2, 0, -2],\n [2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 1],\n [0, 1, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2],\n [0, 0, -2],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "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, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 1],\n [0, 0, -2],\n [0, 0, 2]], 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^2 where A =\n[[1, -2, -2],\n [0, 0, 3],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, 1],\n [3, 2, -3],\n [1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-1, -2, 1],\n [-2, -3, -2],\n [1, -2, 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 absolute values of all entries of the matrix A^2 where A is:\n[[1, -2, -2],\n [-2, -2, 1],\n [-2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, 0],\n [0, 0, -2],\n [0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, -1],\n [2, -1, -3],\n [3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 2],\n [2, -3, 0],\n [2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "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, -1, -1],\n [0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 0, 2],\n [0, -3, 0],\n [2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "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 [3, 3, 0],\n [1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, -3],\n [0, -2, 0],\n [0, -1, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 3],\n [0, 3, 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": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, 0],\n [-2, -2, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -3],\n [1, 1, -2],\n [-2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-2, -2, 2],\n [-2, -2, -1],\n [2, 1, -3]]\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[[2, 1, -1],\n [1, 1, 0],\n [-1, 0, 1]], determine the value at position (2, 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 value at position (2, 1) of the result:\nA =\n[[2, 0, 0],\n [0, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, 0],\n [-2, -3, 0],\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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 2],\n [3, 0, 3],\n [-1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 0],\n [0, -3, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0],\n [1, 3, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 0],\n [-2, -1, 3],\n [0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, -1],\n [0, 2, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-3, -2, 1],\n [-2, -3, 0],\n [1, 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 (3, 2) of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, 0, 2],\n [0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0],\n [0, -1, 1],\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": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 2],\n [0, 2, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 2],\n [0, -3, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -3],\n [0, -2, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, 0, -1],\n [0, -1, 0],\n [-1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^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": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, 1],\n [-1, -2, 0],\n [1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, -2],\n [0, 1, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -1, 0],\n [-1, 2, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[0, 2, 0],\n [0, 1, 1],\n [0, 0, 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^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 2],\n [-1, -1, -2],\n [2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -3, -2],\n [-3, -2, 1],\n [-2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[3, 2, -1],\n [0, 3, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, -2, -1],\n [-3, 0, 3],\n [-1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 2, -2],\n [0, -1, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 2],\n [0, 3, 1],\n [0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, -2],\n [0, -2, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, -2],\n [3, 3, 2],\n [-1, 0, -1]], 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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -1, 0],\n [0, 1, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -3],\n [3, 0, 0],\n [1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-1, 2, 1],\n [0, 1, -3],\n [0, 0, 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^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 0, -3],\n [0, 1, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 2, 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^2 and find the value at position (1, 1) of the result:\nA =\n[[-2, 0, -2],\n [0, -1, -1],\n [-2, -1, 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^3 where A is:\n[[2, -2, -2],\n [-2, 3, -1],\n [-2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, 0, -2],\n [0, 2, 1],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 0],\n [-2, -1, 3],\n [2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[1, 0, 1],\n [0, 2, 0],\n [1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-3, -2, 0],\n [-2, 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": "For the matrix power A^3 where A =\n[[-2, 3, 2],\n [0, 3, 0],\n [0, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -1],\n [0, -2, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -1],\n [3, -3, -1],\n [3, -3, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -2],\n [0, -1, 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": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, -2],\n [0, -2, 2],\n [-2, 2, 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 value at position (1, 1) of the result:\nA =\n[[-3, -3, 3],\n [0, -3, 1],\n [0, 0, -3]]\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^2 where A is:\n[[-1, 0, 1],\n [0, 3, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-1, 0, 1],\n [1, 0, -3],\n [0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -1],\n [1, 3, 3],\n [0, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[0, -3, 3],\n [1, 3, 1],\n [-3, -2, 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^3 where A =\n[[-2, 0, 1],\n [0, -2, -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": "116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -1, -2],\n [0, 2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 2],\n [0, 3, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[1, -1, -2],\n [0, -2, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, -1, 2],\n [0, 2, 3],\n [0, 0, 2]]?\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 (2, 2) of the result:\nA =\n[[3, -3, 1],\n [1, 0, 1],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 2],\n [0, 3, 0],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 0],\n [-3, -2, -1],\n [0, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 2, 1],\n [2, 2, 2],\n [1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 3],\n [0, -3, 1],\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": "109", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 0],\n [-1, 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": "157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-1, -3, 1],\n [3, 2, 1],\n [0, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0],\n [0, 3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -3, -2],\n [0, 3, -2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -2],\n [-2, 1, 3],\n [-2, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "620", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2],\n [0, -1, 0],\n [2, 0, -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 3th power of the matrix:\n[[-1, 2, 0],\n [2, 1, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 0],\n [-1, -2, -1],\n [0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, 0],\n [2, 3, -2],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 2, 0],\n [2, 2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, 2],\n [1, 2, 3],\n [-1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, 0, -1],\n [0, -3, 2],\n [-1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 0],\n [-2, 3, -3],\n [-2, 1, -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": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 2, 0],\n [2, 0, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, 1],\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 value at position (3, 3) of the matrix A^3 where A is:\n[[-3, 0, 3],\n [-2, 0, -2],\n [1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, 2, 2],\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^2 where A is:\n[[1, 3, 0],\n [0, -2, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -3],\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": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -3],\n [-1, 1, -2],\n [2, -2, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 0],\n [2, -1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -3],\n [0, 0, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 3, -1],\n [0, 3, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 0],\n [0, 1, -3],\n [0, 0, -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 all entries of the result:\nA =\n[[3, -2, 0],\n [-2, 0, -2],\n [0, -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 absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, -1],\n [0, 1, 0],\n [0, 0, -1]]\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, 0, 2],\n [0, 2, -2],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1],\n [0, 1, 3],\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": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, -1],\n [0, -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": "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, -3, -2],\n [2, 1, 1],\n [-2, 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^2 where A =\n[[-1, -1, 1],\n [0, -2, 3],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, 3],\n [0, 2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 0, 0],\n [0, 0, 3],\n [0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -2],\n [0, 1, 2],\n [0, 0, -2]]?\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 all entries of the result:\nA =\n[[0, 0, 2],\n [0, -2, 3],\n [2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-3, 0, -1],\n [3, 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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -1, -2],\n [0, 1, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 3, 2],\n [0, -3, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 1],\n [0, 1, 2],\n [1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -1],\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 0],\n [-2, -2, 2],\n [0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -2],\n [0, 1, 2],\n [-2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 0, 0],\n [0, 2, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 2],\n [0, -2, 3],\n [0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, -2],\n [0, 2, 3],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, 3],\n [0, 3, 0],\n [0, 0, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -1, 2],\n [-1, 3, 1],\n [2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-3, 0, 2],\n [0, 0, 0],\n [2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 2],\n [-3, 1, 0],\n [-3, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 3],\n [0, 0, -2],\n [0, 0, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -3, 2],\n [0, -2, 0],\n [-1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[3, -1, -2],\n [-1, -3, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, -2],\n [0, 0, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 2],\n [-3, 0, 3],\n [2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "218", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, -3],\n [2, 3, -1],\n [-1, -3, -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 all entries of the matrix A^3 where A is:\n[[2, -3, -2],\n [-2, -2, -1],\n [0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, -3],\n [0, 0, -3],\n [1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 1],\n [3, -2, -3],\n [-1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "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],\n [0, -2, 1],\n [0, 0, 0]]\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 2th power of the matrix:\n[[3, 3, 1],\n [0, -2, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, 2],\n [-2, 0, -1],\n [-3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, 0],\n [-3, -3, -2],\n [-1, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, 3],\n [0, -3, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 2],\n [0, -1, 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": "-9", "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, 1],\n [0, 2, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, 2],\n [3, 1, 1],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th 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": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 2],\n [0, 1, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, -3],\n [0, 3, 3],\n [0, 0, -2]]\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, 3) of the matrix A^2 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": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 2],\n [0, -3, 1],\n [-2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -2, -1],\n [-1, -3, 1],\n [2, -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 absolute values of all entries of the matrix A^2 where A is:\n[[-2, -1, -3],\n [0, 1, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2],\n [0, 3, 2],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 3, -2],\n [0, 3, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 3],\n [0, -3, -1],\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": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 3, 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": "For the matrix power A^2 where A =\n[[-1, 0, 2],\n [0, 2, -1],\n [2, -1, -2]], determine the value at position (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[[1, -3, 2],\n [-1, 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": "-2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 2],\n [-1, -3, 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": "168", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 1, -1],\n [0, 3, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -1],\n [0, -3, 3],\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": "671", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, 3],\n [0, 1, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, 0],\n [-3, 0, 2],\n [3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 0],\n [2, 0, 2],\n [0, 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 sum of all entries of the result:\nA =\n[[1, -3, -1],\n [0, -3, 3],\n [3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 1],\n [0, -2, 2],\n [0, 0, 0]]\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 (2, 1) of the matrix A^3 where A is:\n[[-2, 0, 2],\n [0, -3, 0],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 0],\n [-1, -2, 0],\n [3, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-1, 0, 2],\n [0, -1, -1],\n [0, 0, -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^3 and find the value at position (2, 2) of the result:\nA =\n[[1, 3, 0],\n [1, 3, 2],\n [-1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2],\n [-2, 2, -3],\n [1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 2],\n [0, -2, 0],\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": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, -1, 1],\n [3, -3, -1],\n [-1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, 3],\n [-3, 3, 2],\n [-3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, -3],\n [0, 0, -2],\n [0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, 1, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, -1],\n [0, 1, -1],\n [3, -2, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, 3],\n [-2, 2, -3],\n [-2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[3, 0, 0],\n [0, 0, -2],\n [0, -2, 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[[-1, 0, -2],\n [0, -2, 0],\n [-2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 0],\n [-1, 1, 2],\n [-2, 2, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, 3],\n [3, 1, 1],\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^3 where A is:\n[[-3, 0, 0],\n [0, -1, 0],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2],\n [0, -3, -2],\n [-2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, 1],\n [-3, 2, -3],\n [-3, 0, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, 2],\n [-2, -3, -2],\n [2, 3, 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[[-3, -2, 2],\n [-2, 2, -2],\n [2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "419", "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, 0],\n [0, -1, -2],\n [-1, -2, 3]]\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[[0, 0, 0],\n [0, 3, 2],\n [0, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 0],\n [-2, -1, 1],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, -3],\n [2, 3, 0],\n [-2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -3, -2],\n [0, 1, -2],\n [-3, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "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 [0, 2, -1],\n [0, 0, 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 (2, 3) of the matrix A^2 where A is:\n[[2, 3, -3],\n [3, 0, 0],\n [-1, 0, -1]]?\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, 2) of the 2th power of the matrix:\n[[0, -3, 1],\n [0, 2, 1],\n [-3, -2, 0]]\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, 3) of the 2th power of the matrix:\n[[-2, -2, -2],\n [0, -3, 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[[-1, -2, -3],\n [2, -2, 3],\n [3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 3],\n [0, 2, -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": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0],\n [0, 0, -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": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, -2],\n [0, 3, 2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 1],\n [1, -1, 2],\n [1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 1],\n [0, 1, -3],\n [-2, -2, 3]], determine the value at position (2, 2).\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[[2, 0, 0],\n [0, -2, 1],\n [0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 2],\n [0, 1, 1],\n [0, 0, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 0, 0],\n [0, -2, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, -1],\n [0, -3, 0],\n [-1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, 1],\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": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[1, -1, -2],\n [0, 1, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[3, 2, 0],\n [2, 3, 3],\n [2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, 2],\n [0, -1, -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": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, -1],\n [2, -3, 2],\n [-1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-1, 2, 3],\n [2, 3, -3],\n [1, 3, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -3],\n [3, 1, -1],\n [3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 1],\n [0, 1, -3],\n [-2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, 0, -2],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -3],\n [2, 0, 1],\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": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, 3, -2],\n [0, -2, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -3],\n [-2, 3, -3],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "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, -1, 0],\n [-1, 2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 1],\n [0, 1, -2],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 2],\n [0, -2, 0],\n [2, 0, -2]], 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^2 where A =\n[[-2, 0, -2],\n [0, 0, 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": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -3, 2],\n [-1, -1, -2],\n [-3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -2],\n [2, 0, 2],\n [-2, 2, 0]], 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": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 0, 2],\n [0, 1, -2],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 0],\n [0, -2, 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": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-2, 0, 0],\n [0, 0, -2],\n [0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 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 absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 1],\n [-3, 1, 2],\n [-2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\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": "-120", "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 [0, -1, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -3],\n [0, -3, 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": "189", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, -2],\n [0, 2, 0],\n [1, -3, -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^2 and find the value at position (1, 3) of the result:\nA =\n[[3, -2, 2],\n [0, 3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 2],\n [0, 3, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, 0],\n [3, 3, -3],\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, 1, -1],\n [0, 1, 0],\n [-3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, -1],\n [-2, -2, -1],\n [1, 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 absolute values of all entries of the matrix A^2 where A is:\n[[0, 1, -1],\n [2, -1, -1],\n [3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 3],\n [-3, 0, 0],\n [-3, 3, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -1],\n [0, -1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, -1],\n [1, 0, -1],\n [2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 0],\n [-2, 3, 2],\n [0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 3, 0],\n [3, 0, 3],\n [0, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 2],\n [0, 2, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 2],\n [-1, -1, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -3],\n [0, 1, 3],\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 all entries of the matrix A^2 where A is:\n[[2, 2, 3],\n [1, -2, 2],\n [-1, 0, 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^2 where A is:\n[[-2, 3, 0],\n [3, 2, 2],\n [0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0],\n [0, 0, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 1],\n [2, 0, -1],\n [-1, -1, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[3, -3, -3],\n [0, 0, 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 (2, 2) 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": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 2],\n [3, 2, 1],\n [-1, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -3],\n [0, 2, -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": "121", "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 [-1, -1, -1],\n [2, -1, 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^3 where A =\n[[0, 1, -2],\n [1, 0, -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": "-13", "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, 3],\n [-2, -1, -1],\n [3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 3],\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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, -3],\n [2, 1, -2],\n [0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, -2, 0],\n [-2, -3, -2],\n [1, -2, 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^2 and find the sum of all entries of the result:\nA =\n[[3, -2, 2],\n [0, 1, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, -1],\n [0, 0, -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 (1, 2) of the 2th power of the matrix:\n[[1, 3, -2],\n [2, 2, -3],\n [0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -2],\n [0, 1, 1],\n [-2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 1],\n [-1, 2, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -1, 2],\n [-1, -2, -2],\n [-2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0],\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": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, 0],\n [0, -1, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0],\n [2, 2, -1],\n [0, -1, 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^2 and find the sum of all entries of the result:\nA =\n[[1, 0, 1],\n [0, 3, 2],\n [1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 0],\n [0, -3, -2],\n [0, -2, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 1],\n [0, -2, 1],\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": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, 2, 2],\n [0, -3, 0],\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^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, -2, 1],\n [1, 3, -1],\n [0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 3],\n [3, 0, -3],\n [1, 2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, -2],\n [0, 3, -3],\n [0, 0, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-2, 2, -2],\n [2, -2, 0],\n [-2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -3, 1],\n [3, -2, -3],\n [-2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0],\n [0, -2, 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 value at position (2, 2) of the 2th 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": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 3, -2],\n [3, -3, -2],\n [-2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -3],\n [0, 1, -1],\n [0, 0, 2]], determine the value at position (1, 1).\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[[2, -1, 3],\n [2, 0, 3],\n [-2, -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[[-2, -3, -2],\n [-1, 0, 0],\n [1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 2],\n [0, 0, -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": "3", "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],\n [0, 3, -2],\n [2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 1, 1],\n [0, 2, -3],\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^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 2],\n [0, 1, 3],\n [1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 0, 2],\n [-1, -2, -2],\n [1, 2, -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^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, -2, 0],\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 sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, 2],\n [-1, 0, 2],\n [-3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[0, -1, 1],\n [0, 2, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 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": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[1, 2, -1],\n [1, 2, 3],\n [-3, 1, -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^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 0, -3],\n [0, 0, -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[[1, -2, 3],\n [0, 2, -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": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, 0, 3],\n [0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "303", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, 2],\n [-2, -1, 1],\n [3, 0, 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^2 where A =\n[[1, 2, 2],\n [0, 3, -3],\n [0, 0, 3]], 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, 1) of the matrix A^3 where A is:\n[[-1, 3, 2],\n [-3, -3, 1],\n [2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 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": "418", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-2, 0, 3],\n [0, -3, 1],\n [3, 1, 0]]\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^2 where A is:\n[[3, -2, 1],\n [0, -3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 1],\n [0, -3, -1],\n [1, -1, 1]]?\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^2 where A is:\n[[-3, -2, 0],\n [-2, 2, 1],\n [0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, 1],\n [-1, 0, -2],\n [1, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2],\n [0, -1, 2],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0],\n [0, -1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-1, 0, -1],\n [0, 0, -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^3 where A =\n[[-3, 2, -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": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 1],\n [0, -1, 0],\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": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 3],\n [0, -3, 0],\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": "For the matrix power A^2 where A =\n[[0, -2, 3],\n [0, 3, -2],\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": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, -3],\n [-2, -1, 2],\n [3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 1, 0],\n [1, -3, -1],\n [0, -1, 0]]\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, 1) of the matrix A^2 where A is:\n[[-2, -2, -2],\n [0, -3, 2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, -1],\n [0, -2, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 0],\n [2, 3, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "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, -1, 0],\n [-1, 1, 1],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 1],\n [0, 0, 0],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 0],\n [2, 1, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-2, 0, 3],\n [2, -2, -3],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 3],\n [0, -1, 1],\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 (2, 1) of the matrix A^2 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": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-3, 2, 1],\n [2, -1, 2],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -2],\n [0, 1, -2],\n [0, 0, -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^2 where A =\n[[-1, 1, -2],\n [2, 0, 1],\n [-1, 0, 1]], 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": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, -2, 2],\n [-2, 3, 3],\n [2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, 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": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 2],\n [2, -1, -1],\n [2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 2],\n [0, 3, 2],\n [2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[3, -2, 3],\n [2, 3, 1],\n [3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -1, 2],\n [-1, 0, 0],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 0],\n [0, 2, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[1, 2, 3],\n [0, -2, -3],\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 value at position (1, 2) of the result:\nA =\n[[1, 2, 1],\n [0, -2, 0],\n [0, 2, -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, 2) of the matrix A^3 where A is:\n[[1, -2, 0],\n [-2, 3, 0],\n [3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 2],\n [2, 2, 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": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 1],\n [0, 0, 0],\n [1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-1, 3, -2],\n [0, 3, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, -2],\n [2, 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": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, 2, -2],\n [2, -2, -3],\n [-2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 2, -1],\n [0, -3, 2],\n [-2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-3, 3, -2],\n [3, 1, 2],\n [1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 1],\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": "100", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 3],\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": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 3],\n [3, -1, -3],\n [-1, 3, -3]], 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": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[1, -2, 0],\n [-2, -2, -3],\n [0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 1],\n [2, 0, 2],\n [0, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, -3],\n [0, 3, -3],\n [-3, 0, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, -1],\n [2, 3, -1],\n [1, 0, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 3, 2],\n [1, -3, 1],\n [-2, -2, 0]]\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 sum of all entries of the result:\nA =\n[[2, 1, -1],\n [-3, -2, -1],\n [2, 1, 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, 0, -1],\n [0, -1, 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": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -3],\n [0, 2, 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": "9", "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, 1, 1],\n [-2, 2, 0],\n [-3, -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^3 where A =\n[[-3, -3, 3],\n [1, 2, 2],\n [1, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, 3],\n [0, -1, -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": "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, 0, -2],\n [0, 0, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 1, 1],\n [0, 1, -2],\n [0, 0, 1]]\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^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": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[0, 2, 1],\n [0, 0, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, 0],\n [3, -1, 0],\n [-1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-3, -1, -3],\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": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -3, 1],\n [0, 1, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 1],\n [0, -1, 2],\n [1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-1, -1, 0],\n [2, 3, 1],\n [1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[3, -1, 0],\n [-1, -2, -1],\n [0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-2, 1, 1],\n [0, -1, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -2],\n [0, 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": "269", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 1, 2],\n [1, 3, -1],\n [2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -3, -3],\n [0, -3, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, 2],\n [-2, 0, 2],\n [0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -2],\n [-3, 2, -1],\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": "353", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 3],\n [0, 3, 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": "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[[0, -2, 3],\n [0, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-2, 0, 1],\n [0, -3, -2],\n [1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2],\n [3, -1, -1],\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": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -3, -2],\n [0, 2, 3],\n [-3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, -3],\n [0, 1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, 2],\n [0, 1, 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": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, -3],\n [-2, 3, -3],\n [-3, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -3, -3],\n [0, -1, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-2, 0, 0],\n [0, 1, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, 3, 2],\n [-3, 0, -1],\n [-3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 0],\n [1, 1, 2],\n [0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[0, 2, 3],\n [0, 0, -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^2 and find the value at position (2, 3) of the result:\nA =\n[[3, 2, 1],\n [0, 3, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, -2],\n [3, 3, -2],\n [3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-1, -1, -2],\n [2, 3, 2],\n [2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, -2],\n [0, 1, -2],\n [-2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-223", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -2, 1],\n [-2, 2, 2],\n [1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, 2],\n [0, -1, -2],\n [0, 0, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -1],\n [-2, -2, -2],\n [-3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\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": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2],\n [0, 1, -2],\n [-2, -2, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-1, 3, -1],\n [3, 3, 1],\n [2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -2],\n [-3, -2, 1],\n [1, 3, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, -1],\n [2, 2, 2],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, 1],\n [0, 2, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 1],\n [0, 0, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, -1],\n [0, 1, -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": "-119", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, 0, -3],\n [-2, -2, 1],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -2, -1],\n [0, -3, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -3],\n [0, 3, -3],\n [1, 1, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -3],\n [0, -1, -2],\n [-3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, 2],\n [0, -2, -1],\n [-1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -1],\n [3, -2, 1],\n [-2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "224", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 0],\n [0, -1, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -3],\n [0, -1, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -1],\n [0, -2, 0],\n [-1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -2, 3],\n [0, 1, -2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 0],\n [1, -2, -1],\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 value at position (1, 3) of the matrix A^3 where A is:\n[[-3, 3, -2],\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": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[1, -3, 3],\n [0, -1, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, -3],\n [-1, 3, 3],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 1],\n [2, 2, 2],\n [-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": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, 1, 2],\n [0, -2, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 2],\n [0, 1, -1],\n [0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[0, -2, 0],\n [-2, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 1, -3],\n [-3, -2, -1],\n [0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[0, 2, 0],\n [1, -3, 1],\n [3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, 0, -2],\n [0, 3, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, -3],\n [-1, 2, 0],\n [-3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "509", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 3, 2],\n [0, 2, 1],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -2],\n [0, 2, -2],\n [-2, -2, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0],\n [0, -2, 1],\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": "63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 3],\n [0, 2, 0],\n [3, 0, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, 1],\n [2, -1, 2],\n [1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, 0],\n [0, 2, -1],\n [-3, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, -1, -1],\n [0, -3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -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": "For the matrix power A^3 where A =\n[[2, -2, 0],\n [-2, 0, 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": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[2, -2, -1],\n [3, 2, -1],\n [-3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, -3],\n [1, -1, 1],\n [-1, -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 (2, 1) of the matrix A^2 where A is:\n[[-1, 1, -2],\n [0, -3, 0],\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 all entries of the 3th power of the matrix:\n[[-2, 3, -2],\n [-3, -1, 3],\n [0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, 2],\n [3, 2, 0],\n [2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -2, 0],\n [-2, 0, 0],\n [0, 0, -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 all entries of the matrix A^2 where A is:\n[[-2, 1, 0],\n [3, 0, 0],\n [3, 0, -2]]?\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 2th power of the matrix:\n[[2, -3, -1],\n [0, 3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -2],\n [3, 3, -1],\n [-1, 3, -3]], determine the value at position (2, 3).\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 2th power of the matrix:\n[[2, 1, 0],\n [0, 3, 3],\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^2 where A =\n[[-3, 3, 2],\n [-2, -2, -3],\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": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, 2, 2],\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 3],\n [-1, 2, -1],\n [1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-2, 0, 0],\n [1, 3, 3],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, 3, 1],\n [-3, 2, -1],\n [-3, 0, 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^2 where A =\n[[-2, 2, -2],\n [-3, 3, 3],\n [3, -3, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 2, 0],\n [1, 2, 1],\n [1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, 0],\n [0, 1, 1],\n [0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-2, -2, -2],\n [-2, 2, 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[[-3, 1, 0],\n [2, 2, -3],\n [0, 3, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, -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": "For the matrix power A^3 where A =\n[[2, -1, 0],\n [-1, -1, -2],\n [0, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 1],\n [0, 0, 1],\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": "100", "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, -3, 1],\n [-3, 0, -3],\n [-1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, -1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[3, -3, 1],\n [0, -1, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2],\n [-2, -1, 1],\n [1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, 0],\n [1, 1, 1],\n [0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, -3],\n [-2, -3, 1],\n [-3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, -1],\n [2, -2, -3],\n [-2, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, -1],\n [-1, -3, 0],\n [-1, 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": "For the matrix power A^2 where A =\n[[-2, -2, -2],\n [-1, -1, 3],\n [1, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 0],\n [-2, -1, 3],\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": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -3, 1],\n [0, 2, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 0],\n [0, 1, 1],\n [-3, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 1, -2],\n [-2, -1, -3],\n [3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, -1],\n [-3, -3, -1],\n [0, -3, -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": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 1, -2],\n [0, -2, 1],\n [2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 0],\n [-2, 0, -1],\n [0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2],\n [3, 2, 1],\n [0, 3, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, 2, 0],\n [2, 1, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 2],\n [1, -3, 2],\n [1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, -3, 2],\n [0, 3, -3],\n [1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, 1],\n [2, 0, 3],\n [3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "681", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 3, 2],\n [-3, -1, 2],\n [2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -1, 0],\n [-1, -2, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -2],\n [-2, -1, 0],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, 2, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "211", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\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": "5", "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, 0],\n [1, 2, -1],\n [0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -3],\n [0, -2, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 3],\n [0, 0, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, 3],\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": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 1],\n [1, -3, -3],\n [-1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -1],\n [0, -2, 0],\n [-1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, 0],\n [0, 2, 3],\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": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, -2],\n [0, -3, 1],\n [-2, 1, 0]]\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, 3) of the 2th power of the matrix:\n[[-3, 0, -3],\n [0, 3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, -3, -2],\n [-3, 3, 1],\n [-2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 3, 0],\n [3, 0, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -1, 3],\n [0, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, -2],\n [0, 1, -2],\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 value at position (3, 3) of the 2th power of the matrix:\n[[-3, -3, -3],\n [0, -1, 2],\n [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 all entries of the result:\nA =\n[[-3, 0, 1],\n [0, 3, 0],\n [1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[0, 3, -1],\n [-3, 3, 3],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -3],\n [-3, -3, 3],\n [-1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -1],\n [-3, -2, 2],\n [3, 2, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -3, 1],\n [-3, -1, -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": "45", "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, 0, 1],\n [0, 2, 2],\n [1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -2],\n [-2, 0, 2],\n [-2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "360", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-1, -3, -3],\n [0, -3, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 2],\n [-3, 3, 0],\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": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-1, 0, 3],\n [0, 0, 0],\n [3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -1],\n [1, 3, 3],\n [3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 0],\n [-2, -2, 0],\n [0, 1, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -3, -2],\n [-1, -1, 2],\n [3, 3, 2]]\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 2th power of the matrix:\n[[2, 3, 2],\n [3, -1, -1],\n [-3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 3],\n [-3, 1, 0],\n [3, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0],\n [0, 3, 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": "89", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, -1],\n [3, 0, -2],\n [-1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "462", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, 0],\n [3, -3, 3],\n [-1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "298", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, -1],\n [1, 0, 2],\n [-1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 0],\n [1, 2, 2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0],\n [0, -2, 2],\n [0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 3],\n [0, 3, -2],\n [0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 1, 2],\n [1, -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 (2, 2) of the result:\nA =\n[[3, 0, -1],\n [0, 2, 0],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 0, 0],\n [0, -1, 2],\n [0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 2, 1],\n [2, 0, -1],\n [1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-1, -2, 1],\n [-2, 0, 2],\n [1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[0, -3, 3],\n [0, 0, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -3],\n [2, -3, 0],\n [-3, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 1],\n [0, -2, -1],\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[[1, 1, 2],\n [-2, 2, -2],\n [3, -2, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 3],\n [-1, 2, 3],\n [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": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -1],\n [-2, -1, 0],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -2, 0],\n [2, -3, -3],\n [-1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, 0],\n [2, -1, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 1],\n [3, -1, 2],\n [1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[0, -1, -1],\n [-3, -3, 1],\n [-1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 0],\n [0, 3, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 1],\n [-3, 0, 0],\n [0, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\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": "771", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[3, -1, 0],\n [-2, 2, 3],\n [2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-2, 2, -1],\n [0, 2, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, 0],\n [0, 0, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, -1],\n [0, -2, 3],\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": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 0, 0],\n [0, 3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, 2, 0],\n [2, -2, -3],\n [0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 3, 2],\n [1, 0, -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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -1],\n [2, 2, -3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 0],\n [-3, -2, 0],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, -1],\n [1, -1, 0],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -3, -3],\n [1, -1, -2],\n [3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -2],\n [-2, 3, 1],\n [-1, 2, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-3, -1, 0],\n [-1, 1, 0],\n [0, 0, 3]]\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[[1, -1, -2],\n [0, 3, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 3],\n [1, -2, 1],\n [-2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, 2, 3],\n [-1, 2, -2],\n [2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, -1],\n [0, -1, -2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[1, 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 3th power of the matrix:\n[[0, 1, -1],\n [1, 0, 0],\n [-1, 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 (3, 2) of the matrix A^3 where A is:\n[[1, 2, -1],\n [2, 2, 2],\n [-1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 1],\n [0, -1, -1],\n [0, 0, -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^2 where A is:\n[[1, 3, 2],\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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 3],\n [0, 3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[0, 0, -3],\n [0, 2, 1],\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 sum of all entries of the 3th power of the matrix:\n[[-3, -3, -3],\n [-3, -2, 2],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-584", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, 0],\n [0, -2, 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": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[3, 2, 0],\n [2, 0, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, -2],\n [-3, 1, -2],\n [-3, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "328", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0],\n [0, -2, 0],\n [0, 0, 2]], 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^3 where A =\n[[1, 3, -3],\n [-3, -2, 0],\n [-2, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 3],\n [2, 0, 3],\n [3, -2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, -3],\n [0, 2, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -3],\n [0, 1, 3],\n [1, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -3],\n [0, 1, 3],\n [0, 0, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, -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": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -2, 1],\n [-1, 1, 3],\n [-1, 1, 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^3 where A is:\n[[-2, 0, 3],\n [0, -1, 2],\n [3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 0],\n [2, 3, 2],\n [2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "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, 3],\n [2, -1, -3],\n [2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -2, -2],\n [-2, 2, 1],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, 0],\n [-1, 2, -2],\n [0, -2, 1]], 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -2, -2],\n [0, 2, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -1],\n [0, 3, 0],\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": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, -1],\n [3, 1, 0],\n [1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -1],\n [0, -3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 2],\n [1, 3, 1],\n [2, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 1],\n [0, 2, 1],\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": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, -3],\n [1, 2, -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": "25", "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 [-1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 0],\n [-2, 3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 2],\n [2, -1, 0],\n [-3, -1, 0]]\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 2th power of the matrix:\n[[2, 3, 2],\n [0, 1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -3, -3],\n [0, -2, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 0, -2],\n [0, 3, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -3, 3],\n [2, 3, 0],\n [-2, 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 3th power of the matrix:\n[[1, 0, 3],\n [2, -1, -2],\n [3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, -3],\n [0, 0, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 3, 0],\n [-1, -2, 0],\n [2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, -3],\n [3, 3, 2],\n [2, -3, 1]]\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 3th power of the matrix:\n[[0, -1, 1],\n [0, 3, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 2],\n [3, 2, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "394", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 1, 0],\n [0, -1, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -3],\n [0, 3, 0],\n [-3, 0, 1]]\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[[0, -3, 2],\n [0, -2, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[3, 2, 2],\n [-2, -1, 3],\n [-3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, 0, 0],\n [0, 2, -3],\n [0, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[1, 2, 0],\n [2, -3, 2],\n [0, 2, -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 all entries of the result:\nA =\n[[3, 2, -1],\n [2, -3, -3],\n [1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-303", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-1, 0, 1],\n [0, 2, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, 3],\n [-1, -1, 0],\n [-2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -3, 1],\n [0, -1, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 0, -3],\n [-3, 1, 2],\n [3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, -2],\n [-1, -2, -1],\n [-2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-1, 0, -1],\n [0, -3, 0],\n [-1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [0, 3, -1],\n [0, -1, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, 2],\n [-2, -1, 2],\n [2, 2, 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 sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 3],\n [-2, 3, 2],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, 0],\n [-2, 1, -2],\n [3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0],\n [2, 0, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-2, 1, 0],\n [-3, -2, -3],\n [1, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 2],\n [-2, 1, -2],\n [2, -2, 0]], 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^2 and find the sum of all entries of the result:\nA =\n[[-1, -2, -2],\n [-2, 3, 2],\n [-2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[1, 3, 0],\n [0, -3, -1],\n [3, -1, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 3],\n [0, 3, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 3, -2],\n [0, -2, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[1, 2, 1],\n [0, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, -1],\n [1, 1, -3],\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": "49", "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 [0, -3, 2],\n [0, 0, 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^2 where A is:\n[[-3, 0, 3],\n [-3, -3, 3],\n [2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 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": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[3, 3, -3],\n [0, -1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 2],\n [-2, 2, 2],\n [2, 2, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, -2],\n [1, -1, 3],\n [0, 1, -2]], 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": "For the matrix power A^3 where A =\n[[-2, 0, -1],\n [0, -1, 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": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-2, 3, -1],\n [3, 2, 2],\n [-1, 2, -1]]\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 (3, 1) of the matrix A^2 where A is:\n[[-3, 3, -1],\n [0, -2, -3],\n [3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -1, -3],\n [0, -3, 0],\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^2 where A is:\n[[2, 0, 0],\n [0, 0, -3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[1, 1, 0],\n [0, -3, 2],\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^2 and find the value at position (1, 2) of the result:\nA =\n[[0, -3, 1],\n [0, -2, -1],\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 value at position (2, 3) of the matrix A^2 where A is:\n[[2, 2, 3],\n [2, 3, 0],\n [-3, 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 absolute values of all entries of the 2th power of the matrix:\n[[1, -2, 2],\n [-2, 1, 0],\n [2, 0, 2]]\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, -1, 1],\n [0, -3, -3],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -3, -3],\n [0, 1, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 0],\n [0, 2, 2],\n [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": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, -1],\n [2, 2, 0],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 2, -1],\n [0, 1, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 1, -1],\n [0, 3, 3],\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^3 where A =\n[[3, 1, 2],\n [1, 3, 2],\n [2, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "480", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 0, -1],\n [0, -3, 1],\n [-1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0],\n [0, 3, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "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 [0, 0, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -3, 0],\n [-3, -2, -3],\n [1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 2],\n [0, 2, -1],\n [2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-1, -2, 3],\n [0, 2, -1],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, -2],\n [-3, -3, 2],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -2, -3],\n [2, -2, -1],\n [1, 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[[0, -2, 3],\n [-1, 1, 3],\n [1, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[1, -2, -2],\n [-2, 1, -2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -2],\n [0, 2, -1],\n [-2, -1, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 3, 3],\n [2, -1, -2],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "582", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -2, 0],\n [-2, 2, 1],\n [0, 1, -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, 3, 1],\n [0, -3, 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": "147", "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 [3, -1, 0],\n [-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, 2) of the matrix A^3 where A is:\n[[3, -3, 0],\n [3, 2, -2],\n [-3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0],\n [0, -3, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\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": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -2, -2],\n [-2, -2, -1],\n [-2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 0],\n [0, -2, 0],\n [1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, -3, -2],\n [3, -3, -2],\n [1, 3, -3]]?\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[[-1, 1, -3],\n [0, 3, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, 2],\n [0, 3, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, -2],\n [0, -2, -1],\n [-2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -3],\n [0, 2, 0],\n [0, 0, -3]], 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": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -3],\n [0, 2, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, -2],\n [1, 3, 3],\n [2, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, -2],\n [2, 2, 2],\n [-2, 2, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, -1, 3],\n [0, 2, -3],\n [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 value at position (3, 1) of the matrix A^2 where A is:\n[[-3, 3, 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^3 and find the sum of all entries of the result:\nA =\n[[2, -1, 2],\n [0, 3, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -2],\n [0, 1, 0],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, 2],\n [-1, -2, 1],\n [2, 1, -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[[0, -2, -1],\n [0, 1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 3, 3],\n [-2, 0, 3],\n [-1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-3, -2, 1],\n [0, 2, -3],\n [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[[0, -1, -3],\n [0, 0, 1],\n [-3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -1],\n [3, -1, 0],\n [0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[0, 0, 1],\n [1, -3, 3],\n [-2, 0, -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[[-2, -1, -3],\n [1, -3, -2],\n [1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, -2],\n [0, 2, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, -3],\n [0, 3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 2],\n [1, 2, -1],\n [2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -2],\n [2, 3, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 3],\n [-2, 1, 1],\n [0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\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": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0],\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": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -3],\n [3, 2, 1],\n [3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -1],\n [1, -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": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, -2],\n [1, 1, 0],\n [-3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 3],\n [-3, -3, -2],\n [0, 1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 2, -3],\n [0, -2, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, -1, 0],\n [-1, -2, 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^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -3],\n [0, 2, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, -3],\n [0, -2, -1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [0, -2, -1],\n [0, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "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, -2],\n [0, 3, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, -3],\n [1, -3, 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": "20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 3],\n [0, -1, 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": "12", "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, -3, 2],\n [0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "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, 1, 2],\n [0, -2, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 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": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -1, 1],\n [3, -2, -2],\n [-3, -3, 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[[0, 1, 3],\n [0, -2, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 3, 3],\n [0, -1, -1],\n [-3, -3, 3]]?\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[[1, -2, -2],\n [-1, 1, -3],\n [3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -2, 2],\n [-2, 3, 2],\n [2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 2],\n [0, -3, -3],\n [0, 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 1],\n [0, 2, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, -2],\n [0, 2, 3],\n [-2, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "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, 0, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, 1],\n [0, 0, -2],\n [1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-2, 0, 1],\n [-1, -3, 0],\n [-2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [-3, -2, 0],\n [0, 1, -1]], determine the value at position (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 absolute values of all entries of the matrix A^2 where A is:\n[[-2, 2, 0],\n [2, -3, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 3],\n [0, 3, -1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 2],\n [-2, 3, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0],\n [0, -2, -1],\n [0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 0, 3],\n [3, 2, -3],\n [-3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0],\n [2, -3, 0],\n [0, 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 all entries of the 2th power of the matrix:\n[[1, 3, 2],\n [0, 2, -3],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, -2, 2],\n [2, -1, 3],\n [0, -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^3 where A =\n[[3, 2, 2],\n [0, -1, -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": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -1],\n [-2, 3, 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": "213", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, 3, -3],\n [0, 3, 1],\n [1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[2, 0, 0],\n [0, 3, 2],\n [0, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 2],\n [-1, 1, 3],\n [-3, -2, -1]]\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[[-1, 0, 2],\n [0, -2, 0],\n [2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 2, -1],\n [2, 2, 2],\n [-1, 2, 0]]?\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[[-1, -2, 0],\n [0, 1, 1],\n [-2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, 0, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, -1],\n [0, -1, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -1, 3],\n [-1, 0, -3],\n [-2, 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^3 where A =\n[[-1, 0, -2],\n [0, -2, -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": "-116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[3, 3, -2],\n [-1, 3, 1],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -3, 0],\n [0, -2, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, -1],\n [2, -3, 3],\n [1, 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^3 where A =\n[[-2, -2, -3],\n [0, 2, 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": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 0],\n [2, -1, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 3],\n [0, 2, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 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": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 3],\n [-2, -1, 0],\n [-2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 0],\n [-2, 1, -1],\n [0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -1, -2],\n [-1, -3, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 3],\n [-3, -1, 1],\n [-2, -3, -2]], determine the value at position (2, 3).\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 3th power of the matrix:\n[[2, 3, 2],\n [3, 2, -1],\n [1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "211", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\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": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2],\n [-2, 2, -3],\n [-2, 1, 2]], 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^2 and find the value at position (3, 2) of the result:\nA =\n[[-3, 0, 0],\n [0, 1, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -1, -2],\n [0, 0, 0],\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 value at position (1, 1) of the matrix A^3 where A is:\n[[-2, 2, -2],\n [0, 3, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 1, 0],\n [1, 1, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 2],\n [0, 0, 3],\n [0, 0, 3]], 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[[-2, -1, -1],\n [-1, -3, 0],\n [0, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[2, 3, 2],\n [0, 3, 1],\n [0, 0, 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 all entries of the matrix A^3 where A is:\n[[1, 1, -1],\n [0, -2, -3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[0, -2, -1],\n [1, 2, -1],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -3, 2],\n [0, -3, -2],\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[[-3, -1, 0],\n [-1, -2, 3],\n [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": "238", "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, -3, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, 1],\n [0, 0, 0],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, -3, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "195", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, 0],\n [-3, -2, 1],\n [0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "314", "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 [-2, 0, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "251", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -2],\n [0, -3, 3],\n [-1, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\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": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, 2],\n [0, 0, 1],\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^2 where A =\n[[-1, 2, 0],\n [2, -1, 1],\n [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": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 2],\n [0, -1, -2],\n [2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-3, -2, 3],\n [0, 0, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 1, -1],\n [-3, 0, 1],\n [1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0],\n [0, 2, 1],\n [0, 0, -1]], 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 all entries of the 2th power of the matrix:\n[[3, -3, 0],\n [-3, -3, -3],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, 2, -3],\n [3, 2, -2],\n [2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 3],\n [0, 1, 3],\n [0, 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 all entries of the 3th power of the matrix:\n[[-3, 1, 0],\n [1, 2, 0],\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 all entries of the matrix A^2 where A is:\n[[-3, -3, 0],\n [-3, -3, -1],\n [0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, -1],\n [0, 1, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 0, 3],\n [-3, 1, 2],\n [-3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[1, -1, -2],\n [-1, 3, 3],\n [-2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 2],\n [0, -2, -1],\n [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": "226", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -3, 1],\n [-3, -3, 2],\n [1, 2, -2]]\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, 0],\n [2, -1, 3],\n [0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -3],\n [0, -2, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, -3, 2],\n [0, 2, 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^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": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, 3, 2],\n [3, -3, 0],\n [2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 2],\n [0, 3, 3],\n [2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "693", "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 [-2, -2, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-395", "dataset": "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 [0, -2, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, -3, 3],\n [2, 3, -1],\n [1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 3],\n [0, 2, -1],\n [0, 0, -3]]\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[[-2, 2, 1],\n [0, -1, 1],\n [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 value at position (2, 2) of the matrix A^2 where A is:\n[[3, 0, -3],\n [0, 0, 2],\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[[-3, 3, 3],\n [0, 0, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 2],\n [3, 3, 0],\n [1, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, 2],\n [2, 1, 1],\n [1, 2, 0]]?\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 3th power of the matrix:\n[[-3, 0, -2],\n [0, -2, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, 2, -2],\n [2, 2, 0],\n [-2, 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 2th power of the matrix:\n[[-3, -1, 0],\n [-1, 0, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 0],\n [1, 0, -2],\n [0, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, -3, 0],\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, 0, 0],\n [0, 1, 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": "121", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, -2],\n [-3, -1, 3],\n [0, -2, 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^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, -1],\n [0, 1, 2],\n [0, 0, 3]]\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[[-3, 1, 3],\n [0, -1, -2],\n [0, 0, -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 value at position (1, 1) of the result:\nA =\n[[0, 2, 0],\n [2, -1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 3],\n [-2, -3, -3],\n [-3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, 1],\n [-1, -1, 0],\n [1, 0, 0]], 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 absolute values of all entries of the 2th power of the matrix:\n[[3, -1, 2],\n [-3, 1, -1],\n [-1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 0],\n [-2, -2, 0],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 0],\n [0, 3, 1],\n [0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0],\n [-2, 1, 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": "271", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 2, -2],\n [2, -1, -1],\n [-2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-2, -3, 1],\n [0, 3, 2],\n [0, 0, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -3],\n [2, -3, 0],\n [3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, 3],\n [3, 2, -1],\n [1, 3, -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^2 where A is:\n[[3, 0, 0],\n [0, 3, 2],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, -2],\n [0, 0, 1],\n [-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^2 and find the sum of all entries of the result:\nA =\n[[0, 1, -2],\n [3, 1, 2],\n [3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -3],\n [1, 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": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -1, 0],\n [2, 2, -1],\n [-3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 0],\n [-2, -1, -1],\n [0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -3],\n [0, 3, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 1, -3],\n [3, -1, 1],\n [2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -3, -1],\n [0, -1, 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": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 0, 2],\n [0, 3, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 1],\n [0, 3, 0],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, 2],\n [-3, 2, 1],\n [-3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[3, 3, 1],\n [2, -1, 3],\n [-2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, 1],\n [0, 3, -2],\n [1, -2, 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 all entries of the matrix A^2 where A is:\n[[-2, 3, 3],\n [3, 0, 2],\n [2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -3, -2],\n [2, 3, 3],\n [-1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, -3, -3],\n [-3, 0, -2],\n [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 absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, -2],\n [-1, 3, 1],\n [2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-2, -3, 2],\n [0, -2, 3],\n [0, 0, 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^2 where A =\n[[-1, 0, 2],\n [0, 1, 2],\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": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-3, 0, -1],\n [0, 2, -2],\n [-1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, 2],\n [-2, 2, 1],\n [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": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, 0],\n [3, -1, 0],\n [2, 0, 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[[-2, -2, -3],\n [-1, 1, 2],\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": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -2],\n [2, 0, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -2],\n [0, 1, -2],\n [-2, -2, -1]]\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 sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -2],\n [0, 0, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -2],\n [-1, 3, 1],\n [-2, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 0],\n [-2, -3, 2],\n [0, 2, -2]]\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 3th power of the matrix:\n[[0, 3, -1],\n [3, 2, -3],\n [3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 1],\n [-2, -3, 0],\n [1, 0, -2]]?\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[[3, 2, 0],\n [2, 1, 1],\n [0, 1, 3]], 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": "For the matrix power A^2 where A =\n[[1, -2, 0],\n [-2, 0, 0],\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": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 2, 0],\n [0, 0, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, 2, 1],\n [0, -3, 0],\n [0, 0, 1]]\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, 1) of the 2th power of the matrix:\n[[3, 3, 1],\n [0, 3, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[3, 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 3, -3],\n [2, 2, 3],\n [1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 1, 2],\n [0, 1, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[3, -2, 2],\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": "Find the value at position (1, 2) of the 2th power of the matrix:\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": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[1, 1, 0],\n [1, -3, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 1, -2],\n [0, -2, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 3],\n [3, 3, -3],\n [1, 1, 0]], 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, 2) of the 2th power of the matrix:\n[[-3, 2, 1],\n [0, -2, -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[[3, -3, -3],\n [0, 1, 0],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 2],\n [0, 1, 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": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 3],\n [0, -3, 2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -1, 2],\n [-3, 0, -3],\n [2, 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 3th power of the matrix:\n[[-3, 1, 2],\n [1, 2, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -1],\n [-1, 3, 1],\n [-1, 1, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2],\n [0, -2, 1],\n [2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -1],\n [0, 2, 3],\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": "For the matrix power A^3 where A =\n[[1, -2, 0],\n [-2, -2, -1],\n [0, -1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "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 [0, 1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, -2],\n [0, -2, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, -3],\n [0, 3, -3],\n [0, 0, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, -2, 3],\n [-1, 2, -2],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, 0],\n [0, -3, 0],\n [0, 0, 2]]?\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[[0, 1, 1],\n [0, -1, -3],\n [-2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -3, -2],\n [2, -3, 1],\n [1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, -2],\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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, -3],\n [-2, 2, 0],\n [-3, 0, 3]]\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, 3) of the 3th power of the matrix:\n[[2, 3, -2],\n [2, -1, 1],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -1],\n [0, -3, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\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": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, 2],\n [-3, 1, 2],\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": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -2, -1],\n [-2, 1, 0],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 2, 1],\n [2, 1, -1],\n [1, -1, 1]]\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^2 where A is:\n[[-2, -2, -3],\n [-3, 0, 0],\n [3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-1, -2, 2],\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": "For the matrix power A^3 where A =\n[[1, -3, 0],\n [0, 3, -3],\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": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 0],\n [1, 0, 0],\n [0, 0, 2]], 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 absolute values of all entries of the matrix A^2 where A is:\n[[-3, 1, -3],\n [0, -3, 1],\n [-2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "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, 3],\n [0, -3, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 2],\n [0, 2, -3],\n [2, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 0, -3],\n [0, -3, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 2, 2],\n [3, 2, -1],\n [3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -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": "53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 0],\n [2, -2, 3],\n [0, 3, -2]], determine the value at position (3, 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^3 and find the sum of all entries of the result:\nA =\n[[1, 3, 0],\n [1, 0, -3],\n [2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0],\n [-2, -3, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 1],\n [1, 3, -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": "147", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, 0, -1],\n [0, -2, 2],\n [-1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[1, 0, -2],\n [0, -1, 1],\n [1, -2, 2]]\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[[-1, -1, 0],\n [1, -3, 0],\n [0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-2, -3, 2],\n [2, -2, 3],\n [3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, -1, 2],\n [-2, 1, -3],\n [3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 3, 2],\n [2, 2, 2],\n [-2, -2, 0]]\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, 2) of the matrix A^3 where A is:\n[[-2, 0, 2],\n [0, 0, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 0],\n [-1, -3, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2],\n [0, 3, 1],\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": "129", "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, 3],\n [0, 0, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 2],\n [-2, 2, 2],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 0, -2],\n [0, -2, 0],\n [-2, 0, 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[[1, 0, 0],\n [0, -3, 1],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, -3, 0],\n [-3, 0, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 2, 1],\n [2, 0, -1],\n [-2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, -2, -1],\n [0, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 2, -3],\n [0, 2, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 0, 2],\n [0, 1, 0],\n [2, 0, -3]]\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^3 where A is:\n[[3, -3, 1],\n [3, 0, -2],\n [-1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 1],\n [2, 1, -1],\n [3, 0, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[0, -2, 2],\n [-2, -2, 2],\n [2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 0],\n [-1, 1, 1],\n [0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [0, -3, 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": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[3, 1, 2],\n [0, 2, -2],\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, 2) of the 3th power of the matrix:\n[[-3, 3, 2],\n [-1, 3, -2],\n [2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 1, -1],\n [0, 2, -2],\n [0, 0, -3]]\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[[2, -2, -1],\n [0, 0, 1],\n [0, 0, 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^3 and find the value at position (1, 1) of the result:\nA =\n[[3, 0, 2],\n [0, 1, 2],\n [2, 2, 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[[0, 0, 2],\n [0, 1, 0],\n [2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 2],\n [0, -2, 1],\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[[-2, 2, -3],\n [-3, -3, 1],\n [-2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -2],\n [0, -2, 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": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 2],\n [0, 3, -1],\n [2, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, -2],\n [0, 3, 1],\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": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[2, -2, 0],\n [1, -2, -1],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-1, 1, 2],\n [0, -2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 2],\n [0, -3, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 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": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, 1],\n [0, -3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 1],\n [1, -3, -1],\n [0, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0],\n [0, 0, 1],\n [0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, -2],\n [0, 2, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, 3, -1],\n [1, -3, -2],\n [-2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 3],\n [2, -2, 3],\n [1, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 1, -3],\n [3, 0, -3],\n [1, 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^2 where A =\n[[-3, -2, 1],\n [3, -1, 0],\n [0, 2, 0]], 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^3 where A =\n[[2, -3, 1],\n [2, 0, -2],\n [-3, -1, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 0],\n [0, -3, -2],\n [0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, 0],\n [-3, -2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[0, -1, -2],\n [-1, -2, 2],\n [-2, 2, -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[[1, 1, 0],\n [0, 2, -1],\n [0, 0, 2]]\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[[0, 0, 0],\n [0, 0, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[3, 2, 3],\n [-1, 3, -2],\n [1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -2, 2],\n [-2, 0, 3],\n [2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 0],\n [0, 2, 3],\n [0, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-1, 1, 2],\n [0, -3, -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, 1) of the 3th power of the matrix:\n[[1, -2, 1],\n [1, -1, 2],\n [-3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 2, -3],\n [3, -1, -2],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 0],\n [2, -3, 2],\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": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-2, -1, 3],\n [1, -2, 1],\n [-1, 1, -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^2 where A is:\n[[2, 0, 0],\n [0, 0, 1],\n [0, 1, -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 2th power of the matrix:\n[[-2, -1, 1],\n [3, 1, 2],\n [3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 3],\n [1, -2, -3],\n [3, 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 sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, 2],\n [0, 0, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 1],\n [-3, 1, 0],\n [-3, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 2],\n [-2, -1, 0],\n [2, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, 3, -1],\n [0, -1, 0],\n [0, 0, 2]]?\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 absolute values of all entries of the result:\nA =\n[[3, 2, 1],\n [0, -3, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 3, 2],\n [0, -3, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, 2, -1],\n [3, 3, -1],\n [0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, -1, -1],\n [-1, 3, 0],\n [-1, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[3, 2, 1],\n [1, 0, 2],\n [-3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-3, 2, -3],\n [0, -2, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -3],\n [-3, 2, -2],\n [3, 1, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0],\n [0, -1, -3],\n [0, 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 value at position (1, 2) of the result:\nA =\n[[-2, -3, -3],\n [3, 1, 3],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[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": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[0, 0, 0],\n [0, 3, 2],\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^3 where A =\n[[3, 0, 1],\n [0, 0, 2],\n [1, 2, -3]], 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 absolute values of all entries of the matrix A^2 where A is:\n[[2, -2, -2],\n [1, -2, 2],\n [2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 3],\n [0, -3, -2],\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 absolute values of all entries of the matrix A^2 where A is:\n[[3, -2, 0],\n [-2, 2, 1],\n [0, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "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, 0, 1],\n [2, -1, 1],\n [2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 0],\n [3, 3, -1],\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": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[0, 0, 2],\n [0, -3, 3],\n [1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0],\n [0, -1, 0],\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^3 and find the value at position (3, 3) of the result:\nA =\n[[0, 2, 1],\n [0, -2, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 2],\n [0, 1, 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": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 3],\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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 1, 1],\n [1, -3, -1],\n [1, -1, 2]]\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[[3, 0, 0],\n [3, 0, -1],\n [1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-3, -2, 2],\n [0, 2, 3],\n [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 all entries of the result:\nA =\n[[-1, -3, 2],\n [0, 1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[2, 3, -1],\n [0, 3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0],\n [0, 1, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, 2],\n [0, -3, 3],\n [0, 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^3 where A is:\n[[0, 0, 0],\n [0, -2, -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^3 and find the sum of all entries of the result:\nA =\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": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, -2],\n [-2, 2, 0],\n [-2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-1, 0, -1],\n [-3, 0, 2],\n [-1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-1, -2, 0],\n [-2, 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": "For the matrix power A^3 where A =\n[[-3, 1, -1],\n [1, -1, 1],\n [-1, 1, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[2, 2, 0],\n [2, -2, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 1],\n [-2, -2, 0],\n [3, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, 0],\n [2, 3, 2],\n [0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-3, -2, -2],\n [-2, 3, 1],\n [-3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, 2],\n [2, -3, -2],\n [2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 3],\n [0, 1, -3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, 2, 2],\n [-1, 0, -1],\n [-3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, 3],\n [0, -2, 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^2 and find the sum of all entries of the result:\nA =\n[[-2, -1, 1],\n [2, 1, 2],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 0],\n [-3, -2, 3],\n [-2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 2, 2],\n [2, -3, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -1, -2],\n [0, 3, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -3],\n [0, -1, 2],\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": "-14", "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, 2, 0],\n [2, 3, -1],\n [0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\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": "648", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, 0],\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": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, -2],\n [2, 1, 0],\n [-2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -3],\n [2, 1, 3],\n [-2, 0, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[3, 2, 2],\n [0, 2, -2],\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^2 where A =\n[[3, -2, -2],\n [-2, 1, 0],\n [-2, 0, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 3, 1],\n [0, 3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 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": "-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, 0, 2],\n [0, 0, 2],\n [2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 0],\n [-2, -2, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -3],\n [-1, 1, -3],\n [2, 3, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, -2],\n [-2, 1, 3],\n [-2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, 0],\n [-2, 1, 2],\n [0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2],\n [0, -3, 0],\n [2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 1],\n [-1, 3, -1],\n [-2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2],\n [0, -2, -1],\n [2, -1, -1]]\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 sum of absolute values of all entries of the result:\nA =\n[[3, -3, -2],\n [0, 0, 0],\n [0, 0, 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^2 where A =\n[[2, 2, -2],\n [0, -2, 3],\n [0, 0, -3]], 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 value at position (2, 1) of the result:\nA =\n[[-3, -2, 2],\n [-2, -3, 1],\n [2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, 3],\n [0, 3, -2],\n [-2, 3, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 2],\n [1, 1, -1],\n [-1, -1, 2]]\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, -3, -1],\n [-1, -3, -3],\n [-2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -2, 1],\n [-2, 1, 1],\n [1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, -3, 3],\n [0, 1, -1],\n [0, 0, -3]]\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[[-2, 0, -1],\n [0, -3, -2],\n [-1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[0, 0, -2],\n [0, -3, -2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[1, -3, 1],\n [0, 2, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -3],\n [0, 0, -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 all entries of the matrix A^3 where A is:\n[[-1, 1, -2],\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": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[3, 1, 3],\n [-1, -3, -1],\n [1, 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 absolute values of all entries of the 3th power of the matrix:\n[[1, -2, 0],\n [1, -2, 1],\n [3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 1, 3],\n [0, 2, 3],\n [0, 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[[2, 0, 1],\n [0, -1, 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": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 3],\n [-3, 3, 3],\n [1, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "393", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, 1],\n [3, -2, 1],\n [-1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, 1, 3],\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": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -2, 1],\n [-2, -1, -2],\n [1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -3, 2],\n [-3, 2, 0],\n [2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, -1],\n [0, 1, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, 1],\n [3, -2, 0],\n [1, 2, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 2],\n [2, 2, 1],\n [2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -1],\n [-3, 3, -3],\n [-1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "556", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 1],\n [0, 1, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, -3],\n [0, -3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 1, 2],\n [0, -3, 3],\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, -3, -3],\n [-2, 3, 1],\n [1, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\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": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -1],\n [0, 2, -3],\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": "-19", "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, -3, -3],\n [0, -1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 2],\n [1, 3, -2],\n [2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, 0, -1],\n [0, 1, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, -2],\n [0, -1, -1],\n [0, 0, 0]], determine the value at position (2, 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 2th power of the matrix:\n[[0, 0, 0],\n [0, 1, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 0],\n [0, -2, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 0],\n [0, 0, 0],\n [0, 0, 2]], 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": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, -1, -1],\n [0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -3, -2],\n [1, 3, 0],\n [-2, 3, 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^3 and find the value at position (2, 1) of the result:\nA =\n[[3, 0, 1],\n [0, 0, -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^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 0],\n [-2, -3, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, -3],\n [0, 1, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 0],\n [-2, -2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 3],\n [-2, 2, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, -1, 1],\n [0, -3, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, 1],\n [0, 2, -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": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-1, -1, 1],\n [0, -3, -1],\n [0, 0, 2]]?\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[[-3, -1, 2],\n [0, 0, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[1, 0, 1],\n [-2, 2, 1],\n [-3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0],\n [2, 1, 0],\n [0, 0, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 0],\n [-3, 0, 2],\n [0, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[3, 1, 1],\n [0, 1, -1],\n [0, 0, -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^3 where A =\n[[1, -2, 2],\n [0, -1, -2],\n [0, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\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": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 2, -1],\n [0, 3, -1],\n [0, 0, 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[[-3, 2, 0],\n [2, 1, -3],\n [0, 2, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 3],\n [0, 3, -1],\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 sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 1, 1],\n [0, -1, -3],\n [0, 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^2 where A =\n[[-1, 0, -3],\n [-1, 1, 0],\n [1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[0, -3, -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": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, 3, 2],\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 absolute values 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": "152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[1, 0, 2],\n [0, -3, -2],\n [2, -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, 1) of the 3th power of the matrix:\n[[3, -2, -2],\n [-2, 2, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -2, 1],\n [-1, 3, 1],\n [1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, 1],\n [3, 2, -2],\n [-1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 2, 2],\n [2, 2, 2],\n [-2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 2],\n [0, 0, 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": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-1, -2, -1],\n [0, 1, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, -1, 2],\n [0, -2, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 3, -2],\n [0, -1, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 0],\n [1, 1, 0],\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": "22", "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 [1, 1, -3],\n [-2, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -3],\n [0, -1, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -3],\n [0, -1, -2],\n [-3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 1, 3],\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 value at position (1, 2) of the matrix A^3 where A is:\n[[1, 2, 1],\n [2, -3, -1],\n [1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, 2],\n [1, -2, 1],\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": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2],\n [0, 3, 2],\n [0, 0, 1]]\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, 3) of the 2th power of the matrix:\n[[1, 0, 0],\n [0, -2, -2],\n [0, -2, 0]]\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 2th power of the matrix:\n[[-2, -3, 2],\n [0, 3, -3],\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 value at position (2, 1) of the matrix A^2 where A is:\n[[-3, 1, -3],\n [0, -2, 0],\n [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^3 and find the sum of all entries of the result:\nA =\n[[3, 0, -1],\n [1, -2, -3],\n [-3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 3],\n [-3, 3, -3],\n [0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 0],\n [2, -2, 3],\n [3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, -3],\n [0, -3, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-1, 3, 0],\n [0, 0, -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 sum of all entries of the 2th power of the matrix:\n[[3, -2, 0],\n [0, 2, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 1],\n [0, -2, -2],\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^2 where A =\n[[-2, 3, -1],\n [2, -2, 0],\n [0, -2, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -3, 2],\n [0, 3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, 0],\n [-2, 2, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, -2],\n [0, -2, 3],\n [0, 0, -2]], 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, 0, 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": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, -2],\n [-3, -2, 0],\n [-2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-447", "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, -3, -3],\n [1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, 3],\n [-3, 1, 2],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, 3],\n [0, 2, -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": "For the matrix power A^3 where A =\n[[-2, -1, -3],\n [-3, -3, 2],\n [0, -1, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, -2, 0],\n [-2, -3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 0, 2],\n [0, 3, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-2, 2, -1],\n [2, -1, 2],\n [-1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [0, -1, 0],\n [0, 0, -3]], 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[[3, -1, 2],\n [-1, 1, -1],\n [2, -1, -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^3 where A is:\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": "201", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, 1],\n [0, 0, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[2, 0, 2],\n [0, 0, 2],\n [2, 2, 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 (1, 2) of the matrix A^2 where A is:\n[[3, 3, -2],\n [0, 1, 2],\n [0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -1],\n [2, -2, -1],\n [-1, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-3, 0, -2],\n [0, 1, -1],\n [-2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 2, 2],\n [0, -3, -1],\n [-3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0],\n [0, -1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -1],\n [3, 1, -3],\n [3, -1, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 2],\n [2, 3, 0],\n [2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, 1],\n [3, 0, 3],\n [-2, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 1],\n [2, -1, 2],\n [1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, 2, 0],\n [0, 2, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -2, -2],\n [0, 0, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 1],\n [3, -2, -3],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -2],\n [0, 0, 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 all entries of the matrix A^2 where A is:\n[[2, 0, 2],\n [0, -3, -2],\n [1, 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[[2, 0, 2],\n [-1, -1, -2],\n [-3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[0, -3, 1],\n [0, 0, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, -3],\n [0, 0, 1],\n [3, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, 2, 0],\n [2, -2, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, -3],\n [-2, 0, 0],\n [2, -3, 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^3 and find the sum of all entries of the result:\nA =\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": "-53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 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": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, -1, 1],\n [0, 2, -3],\n [0, 3, 0]]?\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, -1, 3],\n [3, -2, -2],\n [2, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -3],\n [0, 0, -2],\n [-3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-194", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 3],\n [-3, 0, -2],\n [1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -1, 0],\n [-1, 0, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -3],\n [-3, 2, 0],\n [1, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, 3, -3],\n [-3, 3, -2],\n [-3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -2],\n [0, -3, 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": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[1, 0, 1],\n [0, -2, 0],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -2],\n [0, -2, 3],\n [0, 0, 0]]\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 (3, 2) of the matrix A^2 where A is:\n[[1, 2, -1],\n [0, 0, 0],\n [3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 0],\n [1, 2, -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": "88", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 0],\n [2, 3, -2],\n [0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -1],\n [0, 3, 3],\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": "155", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 2, 2],\n [2, 1, 1],\n [2, 1, -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[[-2, 2, 0],\n [0, 0, 3],\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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, -2],\n [-1, 3, 1],\n [1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 0],\n [-3, -1, 0],\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": "213", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 3],\n [0, -3, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-3, 2, -2],\n [0, 2, 3],\n [-2, 3, -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 all entries of the matrix A^3 where A is:\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": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 2],\n [-3, 1, 3],\n [-3, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[2, 2, -3],\n [-3, 2, -1],\n [2, 1, 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[[3, 1, -1],\n [0, -2, 3],\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 value at position (1, 2) of the result:\nA =\n[[2, 0, 1],\n [0, 0, 0],\n [1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, -1],\n [-1, -1, 3],\n [-2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-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": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[0, 1, 2],\n [0, 2, 2],\n [-2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, -3],\n [0, 3, -1],\n [0, 0, 1]], determine the value at position (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 absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 0],\n [1, 3, 0],\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 sum of all entries of the 2th power of the matrix:\n[[-1, -1, -2],\n [0, -1, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 2],\n [-2, 0, 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": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[3, -2, 2],\n [-2, -1, -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 sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 1, -3],\n [-1, -1, -2],\n [2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 3],\n [-3, 3, 3],\n [-1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 1],\n [0, 1, 2],\n [1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -1, -2],\n [0, 1, -3],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, -2],\n [1, -1, 3],\n [-3, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -2],\n [2, 3, 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": "-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, 1],\n [2, 2, 3],\n [0, 1, -2]]\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 sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0],\n [0, -2, 2],\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[[-3, 2, -1],\n [0, 0, -2],\n [2, 3, 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, 2) of the 3th power of the matrix:\n[[-3, -1, -3],\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": "For the matrix power A^2 where A =\n[[0, -2, 2],\n [-2, -2, 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": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-2, -2, 1],\n [-2, -3, 3],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, -3, -3],\n [2, -1, 1],\n [-2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 1, -3],\n [0, -1, 2],\n [0, 0, 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[[2, 2, 2],\n [0, 1, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[3, 0, 0],\n [0, 0, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, 0],\n [2, -3, 0],\n [0, 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 absolute values of all entries of the matrix A^2 where A is:\n[[-1, -2, 2],\n [0, 3, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, -1],\n [-3, 2, -2],\n [3, 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^2 where A =\n[[0, 2, 0],\n [2, 2, 0],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 3, 2],\n [0, 3, 3],\n [-1, 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 absolute values of all entries of the matrix A^2 where A is:\n[[-1, 1, -1],\n [0, -3, -3],\n [0, 0, -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, 3, -3],\n [0, 0, 1],\n [0, 0, -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^2 where A =\n[[1, 1, 0],\n [0, 2, 2],\n [0, 0, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 0],\n [2, 1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 0, 2],\n [0, -3, 2],\n [2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 1],\n [0, 2, 0],\n [1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, 1],\n [1, 0, 1],\n [0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[3, -1, 2],\n [0, -3, -2],\n [-3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 2],\n [2, 2, -1],\n [2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, -3, 3],\n [0, -2, 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^2 where A =\n[[1, 2, 3],\n [0, -2, -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": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 2],\n [0, -3, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -1, -2],\n [1, 1, 0],\n [-2, 1, 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[[-1, 1, -3],\n [2, 2, -2],\n [-2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, -1, -2],\n [0, 1, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, -3],\n [-2, 0, -3],\n [-1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 2],\n [1, 0, 0],\n [1, -2, 1]]\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 3th power of the matrix:\n[[0, 2, -2],\n [2, 0, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -2],\n [0, 2, 3],\n [-3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2],\n [3, -1, 0],\n [2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[1, 3, -3],\n [0, -3, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, 3, -3],\n [0, 3, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, -2, 0],\n [0, 0, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -1, -1],\n [1, 0, 1],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 2],\n [-2, -2, -1],\n [2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 0],\n [0, 2, -1],\n [0, 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[[-2, 2, 2],\n [-1, 2, -3],\n [0, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, 2],\n [-1, 0, -1],\n [2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, -1],\n [0, -3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 2],\n [0, 1, -3],\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 (2, 3) of the matrix A^3 where A is:\n[[-2, 0, -2],\n [0, -1, 0],\n [-2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 1, -2],\n [0, 2, 3],\n [0, 0, 1]]?\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[[2, -3, 0],\n [-3, -2, 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": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -1],\n [-1, 3, -3],\n [1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 1],\n [0, 3, -1],\n [1, -1, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -3, 0],\n [0, 2, -2],\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^3 and find the value at position (1, 1) of the result:\nA =\n[[3, 0, 0],\n [0, -2, -1],\n [0, -1, -3]]\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[[0, 1, 0],\n [-2, 3, -2],\n [0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\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": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 0],\n [0, -3, -3],\n [0, 0, -3]], 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": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, -3],\n [0, 3, 3],\n [0, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -1],\n [2, 3, 2],\n [-1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "379", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, -2],\n [-2, 2, 2],\n [-2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, -3, -1],\n [0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-1, 0, -2],\n [0, -2, -2],\n [-2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, 0],\n [0, -2, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 3],\n [2, 0, 3],\n [1, 3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, -3],\n [0, -3, 0],\n [0, 0, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, 1],\n [0, -2, 2],\n [1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -1, -3],\n [-1, -1, 3],\n [0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-2, -2, 3],\n [-2, 2, 0],\n [3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 2],\n [-3, -3, 1],\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": "205", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-1, -2, 1],\n [3, -1, -1],\n [-3, 3, -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^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0],\n [2, 3, -2],\n [-2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, -2],\n [0, -1, 0],\n [2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-2, 1, 0],\n [2, -3, -2],\n [3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2],\n [0, 0, 2],\n [-2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -1],\n [-3, 1, 0],\n [2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -3],\n [-2, 0, 0],\n [-2, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -1],\n [0, 0, 0],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, -2],\n [-1, 0, -1],\n [2, -2, 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": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-2, 0, 0],\n [0, -2, 2],\n [3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-1, -3, 0],\n [1, 0, -1],\n [2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[3, -2, 1],\n [0, 3, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0],\n [1, -1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, 2],\n [0, 3, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[1, 1, 2],\n [0, 3, -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 sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, 2],\n [1, -2, 0],\n [2, 0, 1]]\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[[-2, -1, -1],\n [2, -3, 2],\n [-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": "81", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -1],\n [0, 3, -2],\n [-1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -3, 2],\n [0, 3, 1],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, 2],\n [-3, -2, 2],\n [2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 0],\n [3, -1, 1],\n [1, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, -3],\n [0, -1, -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": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 0, -1],\n [0, -2, -3],\n [-1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 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": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -1],\n [-3, 2, -2],\n [3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-271", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -3],\n [0, 3, 1],\n [0, 0, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 1, -2],\n [3, 2, 0],\n [1, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, 3],\n [3, 2, -3],\n [1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, 0],\n [-2, 2, 2],\n [2, 3, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, 2],\n [1, 0, -3],\n [2, 0, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, 1, -3],\n [0, 2, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, 2],\n [0, -3, 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": "40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -2],\n [0, 2, 0],\n [0, 0, 2]], 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 1],\n [0, 1, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -3, -2],\n [0, -1, 2],\n [-1, -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^3 where A is:\n[[2, 1, 3],\n [3, 0, -2],\n [0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 0, 2],\n [0, -3, 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 absolute values of all entries of the 2th power of the matrix:\n[[2, -3, -3],\n [0, -1, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values 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": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, 2],\n [3, 1, 0],\n [2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[2, -2, 0],\n [0, -3, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 3, 1],\n [-1, 2, -3],\n [-3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[0, 2, 0],\n [3, 0, -2],\n [-3, 1, -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[[1, 2, 2],\n [0, 1, 2],\n [0, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2],\n [0, 3, -1],\n [-2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, -1],\n [-3, -1, 0],\n [0, 0, -2]], 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 absolute values of all entries of the 2th power of the matrix:\n[[3, -3, 3],\n [-2, 1, 1],\n [3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-3, 1, 3],\n [0, -3, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[1, 0, 1],\n [0, 2, -2],\n [1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, -1],\n [0, 0, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2],\n [2, -1, -2],\n [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": "104", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 1],\n [-1, 1, 3],\n [-3, 1, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "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, -2],\n [-2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, -3],\n [0, 0, 2],\n [0, 0, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 2],\n [0, 1, 2],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "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, -1],\n [-2, 1, 1],\n [-1, 1, 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 2th power of the matrix:\n[[3, -1, 2],\n [-1, -3, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[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": "347", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[1, -2, 1],\n [-2, -1, 3],\n [1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, -3],\n [0, 1, -1],\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": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 3],\n [-1, 1, 1],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 3],\n [0, 1, 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": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, 1],\n [1, -1, 3],\n [-1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 2],\n [0, 0, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 3],\n [0, -1, 2],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, 0, -1],\n [0, 2, 2],\n [-1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 3],\n [0, 1, -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": "-1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 2],\n [1, -3, 0],\n [2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -1],\n [-1, -1, 2],\n [-1, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 1, 1],\n [0, 0, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 2],\n [0, -1, 1],\n [-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": "123", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, 3],\n [0, -1, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 0],\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": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 0],\n [-1, 3, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -3, -2],\n [3, 2, -1],\n [-2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 0],\n [0, 3, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 3, 3],\n [0, 2, -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 (3, 2) of the matrix A^3 where A is:\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": "20", "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, 1],\n [-3, 0, 0],\n [1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-1, -1, -2],\n [0, -2, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, -3],\n [0, 1, 3],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 0],\n [2, -1, -2],\n [0, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 1],\n [1, -3, -2],\n [1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "398", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -3],\n [-2, -3, 3],\n [-1, 2, 3]], determine the value at position (3, 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[[-1, -3, 3],\n [2, -3, 2],\n [-2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, -1, -1],\n [0, 0, 2],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, 0],\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": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 2],\n [-2, 3, 0],\n [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 sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -1, 3],\n [0, -3, -2],\n [1, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-3, -3, 0],\n [0, 0, 2],\n [1, 1, -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, 1) of the 2th power of the matrix:\n[[-1, -2, -1],\n [3, 3, -3],\n [-2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 2],\n [-3, -1, 2],\n [1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 0],\n [0, -3, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -2],\n [1, 0, 1],\n [-1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-1, -2, 1],\n [-2, 0, 0],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[1, -2, 0],\n [-2, 3, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 3],\n [0, 2, 2],\n [0, 0, 3]], 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": "For the matrix power A^2 where A =\n[[-2, 0, -3],\n [1, 2, 0],\n [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": "31", "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, 0, 2],\n [0, -3, 1],\n [2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 2],\n [-3, 2, 1],\n [-2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -2],\n [0, 1, 2],\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": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[3, 2, 0],\n [2, -2, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, 0, 2],\n [0, -3, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 1],\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": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-1, 0, -1],\n [-1, 0, -3],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 0],\n [0, 3, 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": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 0],\n [0, -2, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, -3],\n [0, -1, 2],\n [3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[2, -3, -2],\n [-2, 3, 2],\n [0, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 0],\n [1, 2, 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": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, 2],\n [0, 0, 0],\n [1, 0, 0]]?\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, 3) of the 3th power of the matrix:\n[[-1, 2, -1],\n [2, -2, 0],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-3, 0, 3],\n [-1, -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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\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": "-154", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, -2],\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[[3, 0, 0],\n [0, -3, 0],\n [0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -1, 2],\n [0, 1, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[1, 3, 2],\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": "For the matrix power A^3 where A =\n[[3, 0, 2],\n [0, 3, -2],\n [2, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 0],\n [-2, 1, 2],\n [0, 2, -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^2 where A =\n[[-3, 1, 3],\n [2, -1, 2],\n [0, -1, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2],\n [-2, 2, -1],\n [-2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, -2, 0],\n [0, 0, -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 value at position (2, 1) of the 3th power of the matrix:\n[[0, 0, 1],\n [0, -3, -1],\n [1, -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^3 and find the sum of all entries of the result:\nA =\n[[2, -1, -3],\n [-1, 1, 1],\n [1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, 0, 2],\n [0, 2, -1]]?\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[[-1, -2, 0],\n [1, 0, 1],\n [-1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 1, 0],\n [0, 2, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -3, -3],\n [1, -3, 0],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 3, -3],\n [0, 1, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 2, -1],\n [0, -2, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-3, 1, 2],\n [1, 1, 0],\n [2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, -1, 3],\n [2, -3, -3],\n [0, -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 2th power of the matrix:\n[[3, 2, 2],\n [2, 3, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, -2],\n [-2, -2, 2],\n [-1, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 0, -2],\n [0, 1, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2],\n [2, -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": "-38", "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, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 0],\n [0, -1, -2],\n [0, 0, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, -1],\n [-2, -3, 1],\n [-1, 1, 1]]?\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, 2, -2],\n [2, 3, 0],\n [-2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "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],\n [0, 0, 0],\n [3, 0, 3]]\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^2 where A is:\n[[-2, -2, 0],\n [-2, -1, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -2, -2],\n [0, 3, 2],\n [-3, 0, 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^2 where A is:\n[[-3, -1, -3],\n [-1, 2, 3],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-2, 0, -2],\n [0, -1, -1],\n [-2, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 2],\n [0, 0, 0],\n [-3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 2, 0],\n [2, 1, 1],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2],\n [-3, 1, -1],\n [-2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[0, -1, 0],\n [0, -1, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, -2],\n [-3, 0, 2],\n [1, 0, -1]], determine the value at position (2, 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[[-1, -1, 2],\n [3, 2, 0],\n [3, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[0, -1, 3],\n [3, 0, 3],\n [1, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[3, -1, -3],\n [0, -3, -3],\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[[1, 0, 0],\n [0, -2, 0],\n [0, 0, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, -2],\n [-2, 1, -2],\n [-3, 1, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-2, 0, 2],\n [0, -1, -2],\n [2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -3],\n [0, 3, 1],\n [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 absolute values of all entries of the 2th power of the matrix:\n[[2, 0, -3],\n [-3, 2, -1],\n [2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, -1],\n [0, 1, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2],\n [-2, 0, 0],\n [2, 0, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "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, 3, 1],\n [0, 1, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0],\n [0, 1, -2],\n [0, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, -3, -2],\n [3, -1, 0],\n [-3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -2, 3],\n [2, 3, 3],\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^2 where A is:\n[[-2, 2, 2],\n [2, 3, 2],\n [2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -2],\n [0, -2, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 3],\n [0, 2, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -3, 3],\n [-3, 0, 1],\n [0, -2, 1]]\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[[-3, 0, -2],\n [1, 2, 3],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 2],\n [0, 0, -3],\n [2, -3, -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[[0, 1, 1],\n [0, 2, 3],\n [0, 0, -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^2 and find the sum of all entries of the result:\nA =\n[[2, 0, 0],\n [0, -2, 2],\n [0, 0, -1]]\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^2 where A is:\n[[1, 2, 0],\n [2, -2, 1],\n [3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 0],\n [1, 1, 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 sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, 3],\n [3, 1, 0],\n [-3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 0, 1],\n [-1, 3, 0],\n [0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, -3, 0],\n [0, 1, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 0],\n [2, 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": "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[[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": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 3, -1],\n [0, 0, 1],\n [2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, 1, 2],\n [3, -2, 2],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, -3],\n [1, 1, 1],\n [1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, -1, -3],\n [0, 3, 3],\n [0, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -2],\n [-3, -3, -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": "165", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 1],\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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -3],\n [0, 0, 3],\n [-1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-1, 3, -2],\n [-1, -1, 3],\n [1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -1],\n [-3, 3, -1],\n [3, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -1, 3],\n [0, -1, -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 absolute values of all entries of the matrix A^2 where A is:\n[[0, 3, 2],\n [0, 1, 3],\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, -1, -3],\n [0, -2, -3],\n [0, 0, 2]], determine the value at position (1, 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^2 where A =\n[[0, 0, -2],\n [0, 2, 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": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -2],\n [0, 2, -2],\n [-2, -2, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, -1],\n [1, 0, -2],\n [2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-1, -2, 0],\n [1, 0, 1],\n [-3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, -2],\n [0, 0, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -2],\n [0, 1, 0],\n [-2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 1],\n [0, 2, 0],\n [1, 0, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 2, 0],\n [2, -1, 0],\n [0, 0, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -1],\n [3, -1, -3],\n [3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -1],\n [0, 0, 0],\n [-1, 0, 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 absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, -2],\n [0, -3, -1],\n [-2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, -2],\n [0, -2, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "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 [-1, 1, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -1],\n [0, 0, 1],\n [0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -3],\n [2, 0, 2],\n [-3, 2, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -1, -3],\n [1, 3, -3],\n [1, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[2, 3, -1],\n [1, 3, 2],\n [0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 1, 2],\n [1, 2, 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 (3, 3) of the matrix A^3 where A is:\n[[-1, 2, -2],\n [2, 2, -2],\n [-2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 0],\n [0, 2, 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": "67", "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, 0, -2],\n [0, 1, 2],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, -2, 2],\n [-2, 0, -2],\n [2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, -3],\n [0, -3, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -3],\n [0, 2, 2],\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": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0],\n [0, 3, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-1, -2, 3],\n [0, 1, -1],\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^2 and find the value at position (3, 3) of the result:\nA =\n[[1, -1, 3],\n [-1, -1, 0],\n [3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, 1, -2],\n [3, 1, 1],\n [-1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 0, 0],\n [0, 1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-1, 3, 1],\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, -3],\n [0, 0, -2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 0],\n [2, 3, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "506", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, 0, 2],\n [0, 2, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-3, 0, -2],\n [0, 0, -3],\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[[0, 1, -3],\n [0, -1, 1],\n [0, 0, -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": "For the matrix power A^2 where A =\n[[0, 2, 0],\n [2, -2, 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": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, 1],\n [-1, 0, 3],\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": "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[[0, 3, 1],\n [1, -2, -1],\n [1, -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 3th power of the matrix:\n[[2, -2, 2],\n [0, 3, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 1],\n [0, 3, -3],\n [0, 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 2th power of the matrix:\n[[2, -2, 0],\n [-2, 1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[3, -1, 0],\n [0, -3, 3],\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 all entries of the 3th power of the matrix:\n[[0, 2, -1],\n [2, 2, 2],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -1],\n [0, 2, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\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": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, -3],\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": "28", "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 [3, 2, 2],\n [1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "649", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 1, -3],\n [0, 2, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -1],\n [2, 2, -2],\n [-1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "294", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, 2],\n [0, -1, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2],\n [-2, 1, 1],\n [-3, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 2, 2],\n [0, 3, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, 1, -1],\n [-2, 3, -1],\n [3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0],\n [0, 0, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 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": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 1],\n [0, 2, -3],\n [0, 0, 2]]\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[[2, 1, 0],\n [0, 3, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-2, 2, 2],\n [2, 1, 0],\n [2, 0, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 0],\n [0, 3, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, 1, -2],\n [-1, 1, 2],\n [0, 1, 0]]\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 value at position (1, 3) of the result:\nA =\n[[0, -1, 3],\n [0, -1, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0],\n [0, 2, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[2, -3, 2],\n [-3, -1, 2],\n [3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 0, 1],\n [0, -3, 2],\n [1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 3, 2],\n [0, -3, 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 (3, 3) of the 2th power of the matrix:\n[[2, 1, -1],\n [0, -2, 2],\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 sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -2, -1],\n [0, -1, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[2, 2, 0],\n [2, -2, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-2, -2, 0],\n [-2, 2, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -1],\n [0, -2, 0],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 3, 3],\n [-1, 2, -3],\n [-2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-3, 0, -3],\n [0, 0, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 3, 3],\n [0, 0, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-1, 3, 2],\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": "For the matrix power A^3 where A =\n[[3, 1, -3],\n [-3, 0, -3],\n [3, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -2],\n [3, 0, 2],\n [-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": "354", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th 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": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 0],\n [0, -3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, -2],\n [1, 3, 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": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, 1],\n [-3, -3, -3],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 3, 0],\n [3, -3, 0],\n [0, 0, 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 (3, 3) of the matrix A^3 where A is:\n[[-3, 3, 2],\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": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, -2, 1],\n [0, -1, -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[[-2, -2, 2],\n [0, -3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -1],\n [0, -1, -2],\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": "8", "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, 0, -3],\n [0, -3, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, -3],\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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 1, -2],\n [1, -1, 3],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 1, 3],\n [3, -2, -2],\n [-3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, -2, -1],\n [-2, -2, 0],\n [-1, 0, 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^3 where A =\n[[-2, -3, 0],\n [-3, 2, 0],\n [3, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 1],\n [0, 1, -1],\n [0, 0, -2]], determine the value at position (2, 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[[-3, 2, 2],\n [2, 2, 0],\n [2, 0, 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^2 where A =\n[[-1, 2, 1],\n [0, -3, -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": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, -3],\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": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 0],\n [0, 0, -3],\n [0, 0, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[2, 0, -1],\n [0, 3, 2],\n [-1, 2, 2]]\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[[-1, 2, -1],\n [0, 0, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 0],\n [2, -1, 0],\n [-2, 3, 2]]\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^2 where A is:\n[[-1, 0, 1],\n [0, -2, 0],\n [1, 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, 3, 1],\n [0, -1, -1],\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": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-3, 1, 0],\n [0, -2, 3],\n [0, 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 all entries of the 3th power of the matrix:\n[[2, 0, 0],\n [0, 0, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 3],\n [0, 2, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 1],\n [0, 2, 3],\n [0, 0, 0]]\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 2th power of the matrix:\n[[-3, 1, -2],\n [3, -3, 2],\n [1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -1, 1],\n [0, 2, 1],\n [0, 0, -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[[-2, 2, 3],\n [0, 0, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[3, 2, 1],\n [-2, 1, 0],\n [3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 1],\n [0, 0, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -2],\n [0, 1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 2, 2],\n [0, 0, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, 3],\n [1, 0, 3],\n [1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -1, 3],\n [0, 1, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -2],\n [2, 0, -1],\n [1, -3, 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[[-1, 0, -1],\n [0, 3, -1],\n [-1, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum 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": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 1],\n [-3, -1, 1],\n [3, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, 0, -3],\n [0, 2, -1],\n [-3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 3],\n [0, 3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0],\n [0, -2, 0],\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 all entries of the 3th power of the matrix:\n[[-3, 1, -3],\n [-2, -1, -1],\n [3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, -2, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -1, 1],\n [-1, -1, 2],\n [1, 2, -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^3 and find the value at position (1, 1) of the result:\nA =\n[[3, 0, -1],\n [0, 1, -3],\n [-1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 0, 0],\n [0, -3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 2],\n [1, 0, -3],\n [1, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 0],\n [-1, 3, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 0, 2],\n [0, 3, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[2, -3, -1],\n [0, -3, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -2, 0],\n [0, 2, 2],\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 all entries of the 3th power of the matrix:\n[[-1, -2, 3],\n [2, 1, 0],\n [-1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-1, -2, 3],\n [1, -2, -3],\n [3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -3, 2],\n [0, 0, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0],\n [-1, 2, 0],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, 2, -1],\n [0, -1, 0],\n [2, 3, -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^3 and find the value at position (3, 1) of the result:\nA =\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, 2],\n [1, 0, 0],\n [2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -3],\n [0, -1, 1],\n [0, 0, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 3],\n [0, -1, 3],\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, 0, 1],\n [0, 3, 0],\n [1, 0, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 0],\n [-3, 2, -1],\n [-1, -2, -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 absolute values of all entries of the result:\nA =\n[[2, -1, -3],\n [3, 3, 0],\n [-2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\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": "264", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-3, 0, 2],\n [0, -3, 0],\n [2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0],\n [3, 2, -2],\n [1, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 2],\n [0, 3, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -3, 2],\n [0, 0, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[-3, 0, 0],\n [-2, -1, 2],\n [-1, 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 absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 0],\n [-3, 2, -1],\n [0, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0],\n [2, -2, 0],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 3],\n [2, 1, -3],\n [2, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -3],\n [0, -3, -2],\n [-3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -3],\n [0, 1, -2],\n [-3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 3, -1],\n [2, -3, 3],\n [-2, -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^3 where A =\n[[-1, 2, 3],\n [2, 2, 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": "728", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, 2],\n [0, -1, 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": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -2],\n [0, 2, -3],\n [0, 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^3 where A =\n[[0, -2, -2],\n [-3, -1, -2],\n [-1, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "233", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 3],\n [0, 2, -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": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, 1, 1],\n [1, 1, -1],\n [1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0],\n [-2, 2, 1],\n [0, 1, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 1],\n [2, 3, 0],\n [1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, -3],\n [-2, 2, -3],\n [1, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -1, 0],\n [0, -1, -3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 2],\n [-3, -2, 1],\n [0, 3, 2]], 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, -3],\n [-1, -3, 1],\n [-2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 0],\n [1, -2, -1],\n [0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -3],\n [-3, 0, -3],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 1, 0],\n [1, -1, 0],\n [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 all entries of the result:\nA =\n[[2, 0, 1],\n [0, 2, 0],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 0],\n [0, -2, -1],\n [0, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, -2],\n [0, -2, 0],\n [-2, 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^2 and find the sum of all entries of the result:\nA =\n[[-2, -1, -2],\n [0, 2, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[0, -2, 3],\n [0, 2, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 2],\n [0, 3, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -2],\n [0, 2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 2],\n [0, 2, 1],\n [2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -2, 1],\n [-1, 1, -3],\n [2, 0, -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 (3, 2) of the 2th power of the matrix:\n[[1, 2, -2],\n [2, -2, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 0, 0],\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 value at position (2, 3) of the 2th power of the matrix:\n[[-3, 0, 2],\n [-3, 3, -2],\n [0, 3, -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^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 0],\n [2, 0, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, -3],\n [0, 0, 2],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 2, -3],\n [-1, -3, 1],\n [-2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[1, -2, 2],\n [2, 1, 0],\n [2, -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 absolute values of all entries of the 3th power of the matrix:\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": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 0],\n [2, 1, 3],\n [1, -1, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 0],\n [0, 1, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 1, -1],\n [1, -1, -1],\n [-1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, -2],\n [0, -1, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, 0],\n [0, -3, -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": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, 1],\n [0, 1, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[1, -3, 1],\n [2, 0, 2],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 2],\n [-2, 2, 2],\n [-1, 2, 2]], 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 absolute values of all entries of the result:\nA =\n[[1, -2, 2],\n [0, -2, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 1],\n [2, 3, -2],\n [1, -2, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0],\n [2, -1, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "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 [-2, -3, -2],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 3],\n [-2, 2, -1],\n [3, -1, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[1, 0, -1],\n [0, 1, -3],\n [-1, -3, 3]]?\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 3th power of the matrix:\n[[3, -2, 1],\n [0, -1, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, -2],\n [0, 0, -2],\n [-2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 3],\n [0, 0, 0],\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^3 where A =\n[[3, 1, -2],\n [1, -2, 3],\n [-2, 3, 1]], determine the value at position (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 2th power of the matrix:\n[[-1, 2, 3],\n [0, -3, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[1, 0, 0],\n [0, 3, -3],\n [0, -3, -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, 1) of the matrix A^2 where A is:\n[[0, 3, -2],\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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 1],\n [0, -3, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -1],\n [0, -1, -1],\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": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, -3, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, 3, -3],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -2],\n [-1, 1, 3],\n [0, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -3, -1],\n [0, 3, -1],\n [3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 2],\n [0, -2, 3],\n [0, 0, 1]], 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 2, 1],\n [-2, 3, 2],\n [1, 3, -3]]?\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^2 where A is:\n[[-2, 0, 0],\n [0, -1, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, -2],\n [2, 1, -1],\n [-2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-2, -2, 1],\n [0, 0, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -2],\n [0, 2, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -1, 1],\n [-3, 0, 1],\n [2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -1],\n [0, -1, -2],\n [-1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, 0],\n [1, -3, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, 1],\n [2, -2, -1],\n [2, 0, 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[[2, -1, 0],\n [0, -2, 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": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -3, 2],\n [3, -2, -1],\n [-3, 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 absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, 2],\n [0, -1, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, -2, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 2, -3],\n [0, -1, 2],\n [0, 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[[-1, -2, -2],\n [2, -1, -2],\n [-3, 2, 1]], 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": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[3, 0, 0],\n [0, -1, -1],\n [0, -1, -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, 3) of the matrix A^2 where A is:\n[[1, 1, -1],\n [0, 1, -1],\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[[3, 2, 0],\n [2, 2, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "313", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 3, 0],\n [-1, 2, 1],\n [0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, -2],\n [-3, 2, 1],\n [-2, 0, 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 3th power of the matrix:\n[[3, -2, -2],\n [0, -1, 0],\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^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 0, 1],\n [0, 1, 0],\n [1, 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^2 where A is:\n[[3, -1, -3],\n [0, -1, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 3],\n [2, 0, 1],\n [3, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "529", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-1, -3, -3],\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": "For the matrix power A^3 where A =\n[[1, 0, -3],\n [0, -2, 1],\n [-3, 1, 3]], 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": "Find the value at position (2, 2) of the 3th 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": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, 3, -1],\n [1, 2, -2],\n [-1, -1, -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],\n [0, -1, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 1],\n [3, 3, -1],\n [-2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[1, -2, -2],\n [-2, -1, -2],\n [-1, -3, 2]]?\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 2th power of the matrix:\n[[1, -3, 3],\n [0, -2, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 3, 1],\n [0, -1, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 0],\n [2, -2, 2],\n [1, -2, 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": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 1],\n [0, 2, -2],\n [-1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, 0],\n [0, 1, 2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, -2],\n [-1, 0, 0],\n [-3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, 0, 2],\n [0, -1, 2],\n [2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 2],\n [0, 0, -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": "62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 0],\n [-2, 0, 1],\n [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": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -3, 2],\n [0, -1, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[2, 2, -1],\n [0, -1, 1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 3],\n [-3, 2, -3],\n [1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "664", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 3, -2],\n [0, 3, 0],\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 value at position (2, 3) of the matrix A^2 where A is:\n[[2, -3, 0],\n [0, 3, 1],\n [0, 1, 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[[0, 1, 0],\n [-2, 2, -1],\n [-2, -2, -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[[-1, -1, 2],\n [3, -3, -1],\n [-3, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[0, 1, 0],\n [1, -3, -1],\n [0, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-2, 1, 1],\n [1, 1, 0],\n [1, 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 2th power of the matrix:\n[[1, -2, -2],\n [-2, -1, 0],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, -1],\n [-1, -2, 3],\n [-2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-3, 2, 2],\n [0, -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": "For the matrix power A^3 where A =\n[[-2, -3, 2],\n [0, 2, 0],\n [0, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 0],\n [1, 3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 3],\n [-3, -1, 1],\n [-1, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, -2],\n [1, -3, -2],\n [-2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-327", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 3],\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": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, -2],\n [1, 0, 2],\n [-2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -2, -1],\n [0, -3, -2],\n [0, 0, 2]]?\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[[2, 2, 2],\n [2, 2, -1],\n [2, -1, 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^3 where A =\n[[0, 3, 1],\n [1, -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": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, 1],\n [-1, -1, -2],\n [2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 2, 3],\n [0, -1, 1],\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^3 and find the value at position (1, 2) of the result:\nA =\n[[3, 1, -3],\n [0, -1, -3],\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 value at position (1, 1) of the matrix A^2 where A is:\n[[2, -3, 0],\n [0, -1, -3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2],\n [0, -2, -2],\n [-2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "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, 3],\n [0, -1, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -1, 0],\n [0, 1, -2],\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^2 where A is:\n[[0, -3, 3],\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": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, 1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -2, -2],\n [0, -2, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -2, -2],\n [0, -3, 2],\n [0, 0, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 1],\n [-2, -3, -2],\n [1, -2, 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, 0, 3],\n [0, 3, 0],\n [3, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, -2, 2],\n [-2, 0, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 1],\n [-2, -3, -2],\n [1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -1, 1],\n [0, 1, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, 1, 2],\n [-3, 2, -3],\n [-2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[3, 0, 2],\n [0, 0, 3],\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 (3, 3) of the matrix A^3 where A is:\n[[-3, 0, 3],\n [0, 0, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, 0],\n [0, -2, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-1, 1, 3],\n [0, -1, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 3, 2],\n [3, 3, 0],\n [2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, -1, 2],\n [-1, -2, 0],\n [2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\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": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -2],\n [0, 1, 3],\n [0, 0, -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 2th power of the matrix:\n[[3, -3, 2],\n [0, 2, -3],\n [0, 0, -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^3 and find the value at position (1, 1) of the result:\nA =\n[[1, 1, 3],\n [0, 2, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[3, -2, 3],\n [0, 3, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 2],\n [0, -2, -2],\n [2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, 2],\n [-1, 3, 3],\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": "6", "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 [0, 1, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 1],\n [-3, 0, 2],\n [2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -1, 0],\n [-1, -3, 1],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -2],\n [0, -2, -2],\n [-2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 1],\n [2, 2, -2],\n [2, 3, -1]]\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[[-3, -3, 0],\n [0, 3, -1],\n [1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 2],\n [2, -3, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 1],\n [0, 1, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[3, 0, -2],\n [0, 2, -2],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -2, 0],\n [-2, -1, 3],\n [0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2],\n [1, 0, -2],\n [3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -3],\n [-3, -2, 1],\n [-2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "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, -1],\n [-3, -3, -1],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 2],\n [1, 0, 0],\n [2, 0, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -3, 0],\n [0, 1, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 1],\n [-2, -2, -1],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "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, -1, -1],\n [0, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-1, -2, 0],\n [0, -3, 1],\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^3 where A =\n[[1, -2, 3],\n [3, 2, 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": "-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, -2, 3],\n [2, 2, -2],\n [-2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-1, 0, 0],\n [0, 3, 2],\n [0, 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^3 where A =\n[[-2, -3, 2],\n [2, 1, 3],\n [3, 2, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -3, -2],\n [2, 0, -3],\n [0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, 0, -2],\n [0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [0, -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": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 1, 2],\n [1, 1, 2],\n [2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[3, 2, -1],\n [-3, 1, 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 value at position (1, 3) of the matrix A^2 where A is:\n[[1, 0, 3],\n [-1, -1, -1],\n [1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 2],\n [-2, 2, 0],\n [2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "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 [0, -2, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[2, 2, -1],\n [2, 1, 0],\n [-1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -1, -1],\n [-1, 0, 1],\n [-1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 1],\n [-1, 1, 1],\n [1, 1, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, -3],\n [0, 2, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, -1],\n [0, -2, 3],\n [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": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 0, 0],\n [1, 0, 0],\n [-1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, -2],\n [0, 2, 1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 2],\n [0, 1, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -3, 1],\n [-3, 0, -1],\n [-3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 2],\n [0, -3, 2],\n [2, 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 sum of absolute values of all entries of the result:\nA =\n[[2, -3, -3],\n [-1, 3, 0],\n [3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, -2],\n [-3, 2, 0],\n [-2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "377", "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, 2, -2],\n [-1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[1, -1, -1],\n [2, 1, 0],\n [-1, -1, 0]]\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[[-2, -2, 0],\n [0, 0, 2],\n [0, 0, -1]]\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[[0, -2, 0],\n [0, 0, 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": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-1, 0, 1],\n [0, 1, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 2],\n [2, 0, 1],\n [-3, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, -1],\n [2, 2, 0],\n [3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 0, 0],\n [0, -3, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 3],\n [-1, 3, -2],\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": "26", "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, -3, -2],\n [-3, 3, -3],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-1, 2, 0],\n [2, -2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 1, -3],\n [1, -2, 2],\n [2, -1, 1]]\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[[-3, -2, -2],\n [3, 3, 2],\n [-1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, 1],\n [0, -2, 2],\n [1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, -3, 3],\n [0, 3, -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 sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 2, 0],\n [2, 3, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, 3, -2],\n [0, 2, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, -3],\n [0, 0, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 3],\n [0, 3, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-1, 0, 3],\n [0, 3, 0],\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^2 where A =\n[[1, 2, -1],\n [2, 1, -3],\n [-1, -3, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, -3],\n [0, 1, -1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 0, 2],\n [0, 1, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, 3, 3],\n [-2, 0, -2],\n [-3, 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, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 2],\n [0, 2, -3],\n [0, 0, 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 sum of all entries of the result:\nA =\n[[-2, -1, 2],\n [-1, 0, 0],\n [2, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2],\n [0, -3, 0],\n [2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "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, 0, 1],\n [0, -3, -2],\n [1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -3, 0],\n [0, 1, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 3],\n [3, -3, 1],\n [2, 1, 3]]\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 (3, 1) of the matrix A^2 where A is:\n[[-2, -2, -3],\n [1, 1, -2],\n [3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-3, 3, 0],\n [0, -1, -2],\n [0, 0, -1]]?\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 2th power of the matrix:\n[[1, 3, 0],\n [0, -3, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 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, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 1],\n [0, 2, -1],\n [1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 2],\n [0, 0, 1],\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": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 2],\n [-3, 2, -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": "924", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 0],\n [1, 3, 3],\n [-2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -2],\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": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[0, 0, -1],\n [0, -1, 0],\n [-1, 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^3 where A is:\n[[-3, -2, 2],\n [3, 0, 0],\n [3, 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^2 where A is:\n[[1, 0, -3],\n [-2, -2, 1],\n [3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[2, 2, 2],\n [0, 3, 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[[-2, 0, -3],\n [0, 3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, 1],\n [1, 0, 0],\n [1, 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[[1, 1, 3],\n [0, -2, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 0],\n [-3, 3, 2],\n [1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -3, -1],\n [0, 0, 0],\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^3 where A =\n[[0, -2, 0],\n [-2, -1, 1],\n [0, 1, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 0, 0],\n [0, -1, 3],\n [0, 3, -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^3 and find the value at position (1, 3) of the result:\nA =\n[[2, 2, 0],\n [0, -2, 1],\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 value at position (3, 2) of the result:\nA =\n[[0, 1, -3],\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": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[0, 0, -1],\n [2, 2, -2],\n [-3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, -2],\n [1, -1, 0],\n [-2, 0, -2]]\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[[-3, 0, 2],\n [0, 1, 0],\n [2, 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 3th power of the matrix:\n[[1, 0, 2],\n [0, -1, -2],\n [2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, -1],\n [0, -2, 3],\n [0, 0, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 1],\n [-1, -3, -2],\n [1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 1],\n [3, 1, 1],\n [0, -3, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -3, -2],\n [2, -1, -1],\n [-1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 0],\n [2, -1, -2],\n [0, -2, -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": "For the matrix power A^3 where A =\n[[-1, 1, -1],\n [1, 3, 0],\n [-1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, -3],\n [-3, -3, 0],\n [2, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, -1],\n [-3, 3, 0],\n [3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 1, 1],\n [1, -2, -2],\n [1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) 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": "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, -1, -1],\n [3, -3, 2],\n [-2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -2],\n [0, 0, 0],\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^3 where A =\n[[-1, -1, 3],\n [0, -3, 3],\n [0, -3, -1]], determine the value at position (3, 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 (3, 1) of the 3th power of the matrix:\n[[-3, 1, 0],\n [1, -1, -1],\n [0, -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[[2, -1, -1],\n [-1, 2, 2],\n [-1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-3, 0, -2],\n [-1, 0, -3],\n [3, 3, 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^3 where A is:\n[[1, -1, 3],\n [-1, -3, -1],\n [-1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, 2],\n [-1, 2, 1],\n [-3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 0, 2],\n [0, 1, -1],\n [2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, -1, -2],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, -2],\n [1, 2, 1],\n [-2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "236", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -3, 0],\n [1, -1, -3],\n [0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 3],\n [-2, -3, 0],\n [3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 2],\n [2, 3, 0],\n [2, 0, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 3, 0],\n [3, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 0],\n [-1, 2, 0],\n [0, 0, 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": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 3, 2],\n [1, 3, 0],\n [1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[0, 1, 3],\n [1, -1, -1],\n [0, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -3, 2],\n [0, -3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "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, -2, 1],\n [2, -1, 1],\n [2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 3],\n [0, 0, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -1, -2],\n [-2, 1, -3],\n [3, -1, 2]]?\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, 1) of the matrix A^2 where A is:\n[[0, -2, 1],\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": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [2, -3, 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": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, -3],\n [-1, 2, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2],\n [0, -1, 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": "-95", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-3, 1, -3],\n [0, -3, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0],\n [0, 3, 2],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 2, 0],\n [2, 3, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -2],\n [0, 1, 2],\n [-2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0],\n [1, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -1],\n [0, -1, 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": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\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": "49", "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, 1],\n [0, 2, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -1, 0],\n [-1, -3, -1],\n [0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 0],\n [0, 2, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 0],\n [2, 2, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2],\n [-2, -1, 2],\n [2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "340", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[3, -1, -1],\n [-1, -3, 0],\n [-1, 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^3 where A =\n[[2, 0, 2],\n [-3, 1, -1],\n [-1, -1, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-1, -3, 3],\n [0, -3, -1],\n [-1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 1],\n [-2, 1, 3],\n [0, -3, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -2, -1],\n [-2, -1, -3],\n [2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 0],\n [0, -2, -1],\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[[-2, -2, 2],\n [-2, -1, 0],\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": "348", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, 2],\n [-1, 1, 1],\n [2, 1, -2]], 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": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 1, 0],\n [1, -3, -2],\n [0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, 1],\n [0, 0, 2],\n [0, 0, -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, 3, -1],\n [-1, -2, 2],\n [-3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, -3],\n [0, -2, -3],\n [0, 0, -3]], determine the value at position (1, 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 all entries of the result:\nA =\n[[-1, 2, -1],\n [0, 3, -1],\n [-3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -2],\n [2, -1, 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": "-124", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -3],\n [-2, 2, 2],\n [0, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 3, 3],\n [0, -3, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 1],\n [-1, -3, -3],\n [1, -1, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-3, 1, -2],\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^3 where A =\n[[-1, 1, -2],\n [1, -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": "157", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, -3],\n [0, -3, -2],\n [0, 0, 0]]?\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[[2, -1, -3],\n [3, -2, 0],\n [-3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 3],\n [0, -1, 2],\n [0, 0, -2]], 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 value at position (1, 1) of the 2th power of the matrix:\n[[2, -2, -3],\n [0, -3, 0],\n [0, 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^2 where A =\n[[0, -2, 0],\n [-2, 0, 0],\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": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-3, 0, 3],\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -1],\n [-2, 2, 0],\n [-1, 0, -2]]?\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 (1, 1) of the matrix A^3 where A is:\n[[-3, 2, -3],\n [-3, 0, 0],\n [2, -1, 0]]?\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, -1, 1],\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": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-3, -2, 0],\n [-2, 2, 1],\n [0, 1, 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^2 where A =\n[[-3, 2, 0],\n [0, 2, 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": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, -1],\n [0, 0, 0],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 2],\n [0, -3, -2],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 1, -2],\n [1, -1, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -3, -3],\n [0, -3, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 3],\n [-2, 1, 0],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 1],\n [-2, -2, 0],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "290", "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 [3, -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": "For the matrix power A^3 where A =\n[[-1, 3, 0],\n [3, -1, 2],\n [0, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 2],\n [-1, -1, 2],\n [2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -1],\n [0, 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": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-1, 1, -3],\n [0, 2, 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^3 and find the value at position (1, 2) of the result:\nA =\n[[0, -1, 2],\n [0, 2, -2],\n [0, 0, 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 3th power of the matrix:\n[[1, 3, -2],\n [0, 2, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 0],\n [0, -1, -1],\n [0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 1],\n [0, 1, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [1, 0, 0],\n [3, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [0, -2, 1],\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": "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[[3, 0, 3],\n [0, 0, -2],\n [3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, -1],\n [-1, -1, 3],\n [-3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-3, 2, 1],\n [0, -3, -1],\n [0, 0, 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^3 and find the value at position (3, 2) of the result:\nA =\n[[2, 1, 3],\n [0, -2, -2],\n [0, -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^2 and find the value at position (2, 3) of the result:\nA =\n[[0, -2, 0],\n [-2, -1, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -2],\n [0, 1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, -2],\n [1, 0, -2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -2],\n [-3, 0, -3],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [0, 1, 0],\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": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, -3, 3],\n [-2, 3, 0],\n [3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 2, 3],\n [0, -1, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 0],\n [0, 3, 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": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, -3],\n [0, 1, -3],\n [0, 0, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 3, 1],\n [0, -3, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -2, -2],\n [-2, 3, 2],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -3, 2],\n [1, 3, 2],\n [3, 1, 0]]\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 (1, 2) of the matrix A^3 where A is:\n[[3, -2, -2],\n [-3, -2, 1],\n [-2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -3],\n [3, 1, 1],\n [-3, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0],\n [0, 0, -3],\n [0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 2],\n [0, -2, -2],\n [2, -2, 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 (1, 2) of the matrix A^2 where A is:\n[[1, 0, 1],\n [0, 3, -1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -3],\n [0, 2, 2],\n [0, 0, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-1, -3, -3],\n [0, 0, 0],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, 0],\n [1, 3, -2],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, -1],\n [0, -3, -2],\n [-1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -3, -2],\n [-1, -3, -3],\n [2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -3, 2],\n [-1, 3, -1],\n [2, -1, -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 3th power of the matrix:\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": "143", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-2, -2, -3],\n [-2, -3, 0],\n [-3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2],\n [0, 2, 2],\n [-2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "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, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, -3, 0],\n [0, 2, 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^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 3],\n [-3, -2, -3],\n [3, -2, -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[[-2, -3, 3],\n [-3, 3, -3],\n [1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 0],\n [0, -1, 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": "11", "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 [-3, 1, -3],\n [3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 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": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 3, 0],\n [0, 0, 2],\n [-2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [3, 2, -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": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -3, 2],\n [-1, 0, 1],\n [2, 0, 2]]\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[[0, 3, -2],\n [1, 3, -1],\n [-3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\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": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -3, 0],\n [0, 2, 2],\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 absolute values of all entries of the 2th power of the matrix:\n[[2, -2, -2],\n [-2, 1, -1],\n [-2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "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, 0],\n [0, -3, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 3, -2],\n [2, 0, 0],\n [-2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, -2],\n [-2, -1, -1],\n [-2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -1, 0],\n [-1, -2, -1],\n [0, -1, -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[[-1, 1, -1],\n [-2, 1, 0],\n [-1, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, -2, 0],\n [0, -1, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -1, -1],\n [0, -3, -2],\n [0, 0, 0]]\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 sum of all entries of the result:\nA =\n[[2, -2, 0],\n [-2, -2, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -2, -1],\n [-2, -2, 2],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[3, 0, -2],\n [-2, -3, 1],\n [-2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-2, 2, 2],\n [1, -1, -2],\n [-3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-1, 3, 3],\n [0, 1, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -3, -3],\n [0, -1, 3],\n [2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 1],\n [-3, -3, -1],\n [0, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, -2, 1],\n [-2, -1, -2],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -3],\n [-3, 1, 1],\n [3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -2],\n [-1, 2, 0],\n [-2, 0, 0]], 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": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 1, 0],\n [1, 1, 1],\n [0, 1, 0]]\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 2th power of the matrix:\n[[-1, -3, 0],\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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 2, 1],\n [0, -2, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, -3],\n [-2, -2, -3],\n [0, -1, 0]]?\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[[0, 1, -3],\n [0, -2, 0],\n [-2, 1, 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": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-2, 0, 0],\n [0, 3, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, -1],\n [0, 0, 3],\n [0, 0, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -2, 1],\n [-2, -2, 0],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[2, 1, 2],\n [0, -2, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 2, -1],\n [0, 0, -2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-1, -1, -1],\n [3, 1, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 3, 2],\n [2, 1, 1],\n [2, 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 absolute values of all entries of the 3th power of the matrix:\n[[3, 0, -2],\n [0, -2, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[0, -3, 0],\n [-3, -1, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, 2],\n [1, -3, 0],\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": "303", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, 0, -2],\n [-2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 3],\n [-1, -1, 0],\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": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 0],\n [0, 2, 0],\n [0, 0, 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[[3, -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": "-9", "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, -3, 0],\n [1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 1],\n [0, -3, 0],\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": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 1],\n [0, 3, -3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 3, -3],\n [0, -2, 0],\n [0, 0, -1]]?\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, 3],\n [0, 0, -3],\n [0, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 0],\n [1, -1, 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": "10", "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 [0, -2, -2],\n [0, 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[[0, 2, -3],\n [-2, 2, 1],\n [0, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, -2],\n [0, -2, -2],\n [-2, -2, 0]]\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[[-3, 2, 0],\n [0, 1, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[2, 1, -3],\n [0, -3, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, -2, -1],\n [-2, -1, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0],\n [3, 3, 0],\n [-3, 0, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [0, 2, 2],\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 sum of all entries of the 2th power of the matrix:\n[[0, 0, 1],\n [0, 2, 0],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 1],\n [0, 1, -2],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -1],\n [0, -3, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 2, 2],\n [2, 2, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, -1, 0],\n [0, 0, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -1, -3],\n [-3, 0, 0],\n [-3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, -3],\n [0, 0, -1],\n [2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 3],\n [0, 0, 1],\n [0, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, 2, 3],\n [2, 3, 0],\n [3, 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^3 where A =\n[[-3, 2, -1],\n [2, 3, 0],\n [-1, 0, -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": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 3],\n [0, -2, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -2, 2],\n [0, -3, -1],\n [0, 0, 0]]\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[[3, 2, 1],\n [0, 1, 1],\n [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 value at position (3, 1) of the matrix A^3 where A is:\n[[3, 0, -2],\n [0, -2, 2],\n [-2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -2, 3],\n [0, -2, 0],\n [-1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 1, 0],\n [0, 0, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -1],\n [2, 2, -1],\n [-3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, 0],\n [-2, -2, -2],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, 3, 1],\n [0, -3, 2],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2],\n [3, 1, 3],\n [-3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -2],\n [0, 3, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 2, -3],\n [2, -2, 0],\n [-3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, -1],\n [-2, 0, 1],\n [1, 3, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -2],\n [0, 2, 0],\n [-3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[3, 0, -1],\n [0, -2, 2],\n [0, 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 all entries of the 2th power of the matrix:\n[[-3, 2, -1],\n [3, 3, 3],\n [2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 0],\n [0, 3, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th 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": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, -2],\n [2, 2, -2],\n [-2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 1, -3],\n [0, 0, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, -1],\n [0, 1, -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": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[3, 0, 3],\n [0, 0, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -1],\n [-3, -3, 2],\n [1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2],\n [2, -3, 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": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 2],\n [1, -2, -1],\n [3, -1, 2]], 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": "For the matrix power A^3 where A =\n[[0, 3, 2],\n [-1, 1, 2],\n [-3, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -3],\n [0, 3, -3],\n [0, 0, 2]], determine the value at position (2, 3).\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, 1) of the 3th power of the matrix:\n[[-2, 2, 0],\n [2, -1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, -2],\n [0, 0, 2],\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": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[2, 3, -2],\n [3, 3, 1],\n [1, 2, -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^3 where A is:\n[[-3, 1, 0],\n [-3, 1, -3],\n [0, 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^3 where A =\n[[-1, 0, 0],\n [0, -3, 0],\n [0, 3, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -2, -2],\n [0, -3, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, 2],\n [0, -2, 2],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[3, 0, 0],\n [0, 2, 3],\n [0, 3, -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, 3) of the 3th power of the matrix:\n[[2, 0, -1],\n [0, 0, 2],\n [-2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-2, -2, -3],\n [0, 0, 0],\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[[1, 0, 2],\n [1, 1, 1],\n [-3, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 1, -1],\n [3, -1, 0],\n [3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 3],\n [0, 3, 3],\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": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-3, 3, 3],\n [-3, -3, 3],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, 3, 0],\n [3, -3, -1],\n [0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, 0],\n [0, 0, 2],\n [0, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, -2],\n [0, -3, -3],\n [-3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 2],\n [1, 0, 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": "47", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[3, -1, 2],\n [-1, -3, 1],\n [2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -1, -1],\n [0, 1, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-2, 2, -1],\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 all entries of the 3th power of the matrix:\n[[0, 2, -2],\n [2, 3, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, 0, -2],\n [0, -2, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 0],\n [-1, -1, 3],\n [1, 1, -2]], 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": "Find the sum of all entries of the 2th power of the matrix:\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": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[1, 3, 0],\n [0, 0, 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 3th power of the matrix:\n[[-3, 2, -1],\n [-2, -3, 3],\n [-3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2],\n [0, -1, 3],\n [2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "426", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, -1, -2],\n [-3, 3, 3],\n [3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, -1],\n [-1, 3, 0],\n [-1, 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^3 where A =\n[[2, -3, 0],\n [-3, 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": "409", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, -2],\n [0, 0, 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": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-3, 3, 3],\n [0, -2, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[2, -2, 2],\n [-2, -3, 1],\n [2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, 0],\n [0, -3, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 2],\n [0, -3, 0],\n [2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 1],\n [0, 0, 1],\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 absolute values of all entries of the 2th power of the matrix:\n[[1, 0, 0],\n [0, 1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 1, 2],\n [1, -1, 2],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, 1],\n [0, 1, 0],\n [-2, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, -1],\n [0, -1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, -1],\n [0, 3, -3],\n [0, 0, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, -2],\n [1, 2, 0],\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": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-1, 0, 0],\n [0, -3, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -1, -2],\n [2, 2, -3],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-1, -1, 3],\n [0, 3, 2],\n [0, 0, 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 3th power of the matrix:\n[[2, 0, -2],\n [0, 1, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 3],\n [-2, -3, -2],\n [-3, 0, -2]], determine the value at position (2, 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, 1) of the matrix A^2 where A is:\n[[-1, -3, 0],\n [-3, 2, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -1, -3],\n [0, -2, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "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, 1, 2],\n [-2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[2, 2, 2],\n [2, 3, 2],\n [2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, -1],\n [0, 0, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, -1],\n [0, 0, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2],\n [0, 0, 2],\n [-2, 2, -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": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-2, 0, 0],\n [0, -2, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, -2, 0],\n [-2, -1, -1],\n [0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -2],\n [0, -1, 1],\n [0, 0, 2]], determine the value at position (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^2 where A =\n[[-3, 2, 0],\n [2, -3, -2],\n [0, -2, 1]], determine the value at position (3, 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^2 where A is:\n[[1, 0, 3],\n [0, -3, -3],\n [0, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -3],\n [0, 1, -3],\n [0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -3],\n [0, 3, 2],\n [0, 0, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2],\n [0, 0, -1],\n [2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 1],\n [0, -3, 2],\n [0, 0, 2]], determine the value at position (1, 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[[3, -2, 3],\n [0, 2, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 3],\n [0, 2, 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": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, 0],\n [0, 2, -2],\n [0, -2, -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^2 where A =\n[[3, 0, -2],\n [0, 0, 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": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 0, 0],\n [0, 0, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 3, 2],\n [-2, -3, 0],\n [2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0],\n [0, 0, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -2],\n [0, -2, 0],\n [-2, 0, -3]]\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[[-1, -3, 1],\n [2, 1, -3],\n [-1, -3, 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[[-2, -3, 0],\n [2, 3, 2],\n [-2, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, -3],\n [2, -3, 2],\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": "259", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -1, 3],\n [0, -3, -2],\n [0, 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, 3, 3],\n [2, -1, -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": "162", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 1],\n [0, 3, -1],\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": "31", "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],\n [0, 3, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -3, -2],\n [0, -1, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[2, -2, 2],\n [1, 3, 1],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 3, -1],\n [-3, 1, 1],\n [-2, -1, 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 absolute values of all entries of the result:\nA =\n[[0, 1, -1],\n [-3, 1, 3],\n [-3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -2],\n [0, 3, 2],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -3],\n [-2, -3, 2],\n [1, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 0],\n [-2, 1, 2],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-1, -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": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[0, -2, -1],\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^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 0],\n [1, 1, -1],\n [0, -1, 2]]\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 2th power of the matrix:\n[[3, 1, 1],\n [2, 1, -2],\n [-1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, 0],\n [-2, 1, 1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 3, 2],\n [3, 3, -2],\n [-2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 0],\n [0, -3, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 3],\n [0, 2, -2],\n [0, 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": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, 1],\n [-3, 0, 3],\n [3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 2],\n [0, 3, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, 2],\n [-1, 2, -2],\n [3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 3],\n [0, 1, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 0, -2],\n [0, 1, -2],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 3],\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": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, -3],\n [-2, -2, 0],\n [2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "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, 0],\n [0, 3, -3],\n [-1, 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 absolute values of all entries of the result:\nA =\n[[1, 1, 1],\n [1, 3, 0],\n [1, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2],\n [0, -3, 2],\n [-2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "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, -2, 0],\n [-2, 2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, 0],\n [1, -1, 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": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 1],\n [0, -1, 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": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\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": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, 2],\n [-2, -2, -2],\n [-2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, -1],\n [2, 1, -2],\n [-1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 1],\n [-2, 0, -3],\n [-3, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, 3],\n [-1, 0, 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": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -3, 0],\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": "For the matrix power A^2 where A =\n[[3, -3, -2],\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": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[3, 0, 3],\n [0, 1, -3],\n [-3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 0],\n [2, 1, -2],\n [3, 3, 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[[1, -3, 3],\n [-1, -3, -2],\n [2, 0, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 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": "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, -2],\n [1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, 2, 0],\n [0, -1, -1],\n [3, 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^3 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": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[2, 0, 0],\n [0, -3, 0],\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, 1, 0],\n [0, -3, 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": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -1],\n [0, 0, 0],\n [-1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[1, 3, 2],\n [2, -1, -3],\n [-1, 3, -2]]\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, -2, 1],\n [-2, -2, 0],\n [1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[1, 0, 0],\n [-1, 3, 3],\n [2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-2, 1, 3],\n [0, 1, -2],\n [0, 0, 0]]\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[[2, 1, 2],\n [1, -2, 1],\n [3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-1, -3, -2],\n [-2, 0, 3],\n [-2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -1],\n [-2, -1, 1],\n [-1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[1, -2, -1],\n [-2, 3, 0],\n [-1, 0, -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 value at position (2, 3) of the result:\nA =\n[[3, -2, -2],\n [0, 0, -2],\n [1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -1],\n [3, 1, 3],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, -3],\n [1, 1, -3],\n [-2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 3, 0],\n [0, -1, 1],\n [3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-1, 3, 0],\n [3, -3, 1],\n [-1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, 3],\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": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 3, 0],\n [3, 2, -3],\n [0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, -3],\n [0, 0, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 3],\n [0, 3, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, -3],\n [-3, -3, -3],\n [2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, -2],\n [0, 3, -3],\n [-1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "331", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, -2],\n [0, -2, 1],\n [0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 3],\n [-1, -2, -1],\n [3, -1, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -1, 0],\n [3, 2, -2],\n [1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[0, 2, -2],\n [0, 0, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, 1, -1],\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^2 and find the value at position (1, 2) of the result:\nA =\n[[3, 0, 3],\n [0, 0, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -3],\n [0, 3, 0],\n [0, 0, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0],\n [0, -3, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 1, 0],\n [1, -3, 1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, 0],\n [-1, -3, -2],\n [0, -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 2th power of the matrix:\n[[1, 2, 2],\n [2, 2, 2],\n [2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[1, 1, 1],\n [0, -2, -2],\n [0, 0, -2]]\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[[-3, 1, -3],\n [0, -2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, 0],\n [-2, 3, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "264", "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, 2, -2],\n [2, 0, 2],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[0, -2, 0],\n [0, -3, 2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, -1],\n [0, 3, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 1, 0],\n [1, 0, 2],\n [0, 2, 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 (1, 2) of the 3th power of the matrix:\n[[-1, 0, 2],\n [0, 3, -2],\n [2, -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^3 where A =\n[[-1, 1, 1],\n [1, 3, -3],\n [0, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, -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": "12", "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 [-1, 3, -2],\n [3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, 0, -2],\n [0, -2, -2],\n [-2, -2, -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^3 where A =\n[[-1, -3, -1],\n [-3, 0, 3],\n [-1, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, 2],\n [-1, 1, -1],\n [2, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -1],\n [0, 0, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 3],\n [0, 1, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 2],\n [2, 1, 1],\n [2, 1, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2],\n [1, 0, 2],\n [2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "344", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -3, -3],\n [0, 0, -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 value at position (1, 1) of the matrix A^2 where A is:\n[[1, 0, 0],\n [0, -2, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 2],\n [0, -3, -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": "-69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 0],\n [3, 0, 2],\n [2, 2, 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": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[0, -2, 1],\n [0, -1, -3],\n [-1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, -2],\n [0, 3, -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": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[0, 3, 1],\n [-2, -1, -2],\n [1, -3, 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 value at position (2, 1) of the result:\nA =\n[[3, -1, 2],\n [-1, -3, -3],\n [2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 3],\n [0, -2, -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": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, -2],\n [3, -1, 0],\n [3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 3],\n [2, 0, 2],\n [-2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 0, 0],\n [0, -1, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, -2],\n [3, -1, -3],\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": "44", "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 [-1, 0, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 1],\n [1, -2, 0],\n [-3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 2, -1],\n [2, -2, 1],\n [-1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, -2],\n [2, 0, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[1, 1, -3],\n [3, -3, -1],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -2],\n [0, 3, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, -1],\n [0, 2, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 3],\n [0, 0, 0],\n [0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[1, 0, 1],\n [0, 2, 1],\n [1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0],\n [0, -2, -2],\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": "112", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[1, 2, -3],\n [0, 3, 0],\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[[-3, 1, 2],\n [0, 0, -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^3 and find the sum of absolute values of all entries of the result:\nA =\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": "114", "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, 2, -2],\n [2, 0, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 1],\n [-3, 3, 2],\n [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": "276", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, -3],\n [-3, -2, -3],\n [-1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 0],\n [2, 3, -2],\n [-1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[3, -1, 0],\n [-1, 3, 0],\n [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 2th power of the matrix:\n[[0, -3, 3],\n [0, 0, 3],\n [0, 0, 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^3 where A =\n[[3, 2, 2],\n [2, 2, 0],\n [2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "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, -3],\n [0, -3, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[1, 3, 0],\n [0, 1, 1],\n [-3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, -3],\n [1, -2, 3],\n [-2, -3, 2]], 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": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[2, 0, 2],\n [0, 2, -2],\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^3 where A =\n[[3, -3, 1],\n [0, 3, -3],\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": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[0, -3, -2],\n [1, -1, 2],\n [0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, -3],\n [-3, -3, -2],\n [3, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 1, -2],\n [0, -1, -2],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[1, 0, -1],\n [0, 2, 1],\n [-1, 1, 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^3 where A =\n[[-2, 2, -1],\n [0, -3, 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": "81", "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],\n [1, 2, -3],\n [3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 2],\n [3, -3, 3],\n [0, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, 0],\n [0, 1, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 3],\n [1, 1, 3],\n [-3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, 3, 0],\n [0, 2, 1],\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[[0, -2, -1],\n [-2, -1, -3],\n [-1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -1],\n [0, 0, 0],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 2],\n [1, -2, 1],\n [2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[2, -3, -2],\n [-3, 1, 1],\n [-2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 0],\n [-1, 0, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -3],\n [0, -1, 3],\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": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 0],\n [0, 2, -1],\n [0, -1, -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^2 where A =\n[[1, 3, -1],\n [-3, 1, -3],\n [-1, 1, -1]], 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -3, 1],\n [0, 3, 1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -1, 1],\n [0, -3, 2],\n [0, 0, 0]]?\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, 0, 0],\n [0, -3, 2],\n [0, 2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -3, 1],\n [2, -2, -1],\n [-2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 1],\n [0, -1, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -3],\n [3, 3, 0],\n [3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 3],\n [0, -1, -2],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 1],\n [0, 2, 1],\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": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, 0],\n [-2, 0, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 1],\n [0, -2, 0],\n [1, 0, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 1],\n [2, 2, 2],\n [1, 2, 0]]\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 (3, 3) of the matrix A^2 where A is:\n[[-2, 1, -2],\n [1, 1, 0],\n [-2, 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 all entries of the 3th power of the matrix:\n[[0, 2, 0],\n [2, 3, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -1],\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": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 1],\n [1, 0, -3],\n [2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, 0],\n [0, 0, -2],\n [0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, -3],\n [0, 3, 1],\n [-3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 0],\n [1, -1, 1],\n [0, 1, 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[[3, 2, -2],\n [2, 3, -1],\n [-2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[1, 1, 0],\n [1, 0, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-1, -1, 2],\n [0, 0, 3],\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, 2) of the 3th power of the matrix:\n[[1, 0, 2],\n [0, 3, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[2, 3, 3],\n [2, -3, -1],\n [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 sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -2, 2],\n [0, 0, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[1, 3, -3],\n [0, 2, -2],\n [2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[3, -1, 0],\n [-2, -1, 0],\n [-1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 3, -3],\n [0, -1, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 3],\n [0, -3, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[0, -2, 3],\n [3, 0, 2],\n [2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 2],\n [-2, -3, 2],\n [-2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 3],\n [-2, -1, 0],\n [3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "487", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 1],\n [0, 2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0],\n [0, 0, 1],\n [0, 1, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, 0],\n [0, 2, 0],\n [0, 0, -2]], 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": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[3, 1, 1],\n [0, 2, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, -2],\n [0, -2, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -3],\n [-3, -2, 2],\n [-1, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 0],\n [-1, -1, -2],\n [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": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -2],\n [3, 3, -1],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "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 [0, -1, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -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": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -2],\n [1, 1, 0],\n [-2, 0, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 1],\n [-3, -2, 1],\n [-1, 1, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, -1],\n [0, -1, 2],\n [-1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, -1],\n [-3, 0, -3],\n [3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, -1, -2],\n [2, 0, 0],\n [1, -3, -1]]\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, -3, -2],\n [0, 0, 3],\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": "46", "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 [0, 0, 3],\n [0, 0, 3]]?\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[[2, -3, -2],\n [2, 3, 0],\n [2, -3, 2]]\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 (2, 2) of the result:\nA =\n[[3, 0, 0],\n [0, 0, -1],\n [0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -3],\n [0, 0, -2],\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^3 where A is:\n[[2, 0, 0],\n [0, -2, 2],\n [0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -3],\n [0, 1, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, -3],\n [2, 2, 0],\n [-3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-3, 0, 0],\n [0, 3, -2],\n [0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -1],\n [0, 3, 0],\n [-1, 0, -1]], 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 value at position (3, 1) of the 3th power of the matrix:\n[[-2, 2, 3],\n [3, -3, 2],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 3],\n [0, -3, 3],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 0],\n [-1, 3, 3],\n [-3, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, 2],\n [2, -2, -2],\n [2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 0],\n [3, -3, -3],\n [3, -3, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, 3],\n [0, 1, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 3],\n [-1, 3, 0],\n [1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 1],\n [-1, 2, 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": "71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 1, -3],\n [0, 1, 0],\n [0, 0, 3]]\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^2 where A is:\n[[0, -1, 3],\n [-1, -2, -1],\n [-3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 3, 2],\n [0, 1, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[2, -2, 3],\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": "For the matrix power A^3 where A =\n[[-1, 1, 2],\n [1, -2, -1],\n [2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 1, -3],\n [0, -2, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, 2],\n [0, -3, -1],\n [2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "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, 1, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -2],\n [0, -3, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -2],\n [-2, -2, 0],\n [-2, 0, -2]], 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": "For the matrix power A^3 where A =\n[[0, 3, -1],\n [3, -3, 2],\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": "366", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, 1],\n [-1, 0, 2],\n [1, 2, -1]], 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": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 3, -3],\n [0, -1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 2],\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": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th 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": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-1, 0, 0],\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": "For the matrix power A^2 where A =\n[[1, -1, -2],\n [-1, -3, -3],\n [-2, -2, 1]], determine the value at position (3, 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^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -1],\n [0, -3, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 1],\n [0, -1, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 1, -1],\n [-3, 0, -3],\n [0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, -3, 0],\n [3, 1, -3],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, 3],\n [2, -2, 0],\n [3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -2],\n [0, -1, 0],\n [-2, 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[[2, 3, 3],\n [0, -1, 1],\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": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2],\n [3, -1, 0],\n [-2, 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 (2, 2) of the matrix A^3 where A is:\n[[2, 2, 3],\n [2, -3, 1],\n [3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 1],\n [0, 3, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, 0, 0],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 2, 1],\n [0, 0, 3],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -1],\n [1, 1, 1],\n [-1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, -1],\n [1, 2, -1],\n [-3, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 2, 0],\n [2, 3, -1],\n [0, -1, 0]]\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[[3, 2, 0],\n [2, -2, -2],\n [0, -2, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, -3],\n [3, 1, 2],\n [-1, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[2, 1, 0],\n [2, -1, -3],\n [-3, 1, -2]]\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 (2, 3) of the matrix A^2 where A is:\n[[-3, -2, -1],\n [0, -1, -3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, -2],\n [-2, 2, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 1],\n [0, 1, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, 3],\n [0, -3, 2],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -3, -3],\n [-3, 3, 0],\n [-3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-524", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, -1, -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^3 and find the value at position (3, 1) of the result:\nA =\n[[-3, 3, -3],\n [-2, 0, 0],\n [-3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 3],\n [0, -3, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, -2],\n [0, -2, 0],\n [1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 3, 0],\n [3, 1, -1],\n [0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -1],\n [0, -1, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 1, 2],\n [0, 0, 1],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, 2, -2],\n [0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -1, -1],\n [2, 2, 3],\n [-2, 0, 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 (3, 1) of the 2th power of the matrix:\n[[0, -3, 2],\n [0, 3, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -1],\n [0, -2, -2],\n [-1, -2, 2]], determine the value at position (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[[0, -2, 0],\n [-2, 1, -2],\n [0, -2, 3]], 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 3],\n [-1, 2, -3],\n [-3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-2, -3, 0],\n [1, 0, -3],\n [-1, -3, 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[[0, 0, -1],\n [0, -1, 1],\n [-1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 3, 2],\n [0, 1, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 2],\n [0, -2, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -1, -2],\n [2, -1, -2],\n [3, 0, -3]]\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[[-1, -3, -2],\n [-1, -3, -3],\n [-2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-2, 2, 0],\n [0, 0, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 0],\n [2, 2, 0],\n [0, 0, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[0, 1, -1],\n [1, -3, -2],\n [-1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 2],\n [0, -1, -2],\n [0, 0, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0],\n [0, 2, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 1, 0],\n [3, 1, -1],\n [-2, -3, -2]]\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 3th power of the matrix:\n[[3, 2, -3],\n [0, 3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 0],\n [2, -2, 1],\n [0, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 0, 2],\n [0, 0, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, -2],\n [0, 3, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -1],\n [3, 1, 3],\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": "145", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 2],\n [0, -1, -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": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, -3],\n [1, 1, 1],\n [3, 0, -1]], determine the value at position (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 absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, 3],\n [0, 0, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 3],\n [1, -3, 1],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-3, 0, 3],\n [0, 2, -2],\n [3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 0],\n [0, 2, -2],\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 value at position (2, 2) of the matrix A^2 where A is:\n[[1, -1, 0],\n [2, -2, -1],\n [0, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 0, 1],\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": "For the matrix power A^2 where A =\n[[-1, -1, -2],\n [0, -1, -1],\n [0, 0, 1]], 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^2 where A =\n[[2, 2, 2],\n [1, 1, 3],\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": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0],\n [-2, -3, 2],\n [0, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-147", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -1],\n [-1, -3, 2],\n [0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, 0],\n [0, 2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 2],\n [1, 2, 0],\n [-1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 1],\n [-2, 1, 0],\n [1, 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[[2, -1, -2],\n [0, 3, 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 sum of all entries of the 3th power of the matrix:\n[[3, 0, 1],\n [0, -3, 2],\n [1, 2, 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 value at position (1, 1) of the result:\nA =\n[[0, -1, 3],\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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -1, 2],\n [0, -3, -3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 3, 2],\n [0, 0, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 0, -1],\n [0, 2, -2],\n [-1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, 1],\n [-2, -1, 0],\n [-3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[2, 2, 0],\n [2, -2, 3],\n [0, 3, 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^2 and find the value at position (3, 1) of the result:\nA =\n[[1, 1, 1],\n [0, -3, 0],\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 2th power of the matrix:\n[[3, 3, 1],\n [1, 0, 1],\n [-1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-1, -1, -1],\n [-1, -3, 0],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 1, 1],\n [3, -3, 1],\n [-3, 2, -3]]?\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, -3, -1],\n [1, -1, 3],\n [-3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, 1, 1],\n [0, 1, 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": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-1, 1, 1],\n [2, 3, 3],\n [3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 0],\n [0, 1, -2],\n [0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, -2],\n [0, 3, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, -2, -2],\n [0, 1, -1],\n [0, 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 (1, 3) of the 3th power of the matrix:\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": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[0, -2, 2],\n [0, 2, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 0],\n [-1, 2, 0],\n [-3, -3, 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^2 where A is:\n[[-1, -2, -3],\n [0, 0, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-1, -3, -1],\n [2, 2, 3],\n [2, -1, 2]]?\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[[2, -3, 2],\n [0, 1, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, -3, 0],\n [0, 0, 0]]?\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, -2, -2],\n [0, -1, 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 3th power of the matrix:\n[[-2, -3, 2],\n [0, 0, 3],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, -1],\n [0, 0, 2],\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^3 where A =\n[[1, -1, 2],\n [-2, 2, -3],\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": "80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-1, -3, 0],\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": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, 2],\n [0, -2, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 2],\n [3, -2, -1],\n [1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0],\n [-2, 0, 0],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, -2],\n [-2, 1, -2],\n [1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, 0],\n [0, 3, 1],\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": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, -3],\n [0, 0, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -2],\n [-3, 2, 1],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, 3, 0],\n [3, -2, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 2],\n [-1, -1, -3],\n [3, 1, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-2, 0, -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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, 1, 1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-1, 1, -3],\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": "For the matrix power A^2 where A =\n[[-3, 0, 2],\n [0, -1, 0],\n [2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -3],\n [0, 1, 0],\n [0, 0, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, 0],\n [-1, -3, 3],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, 2],\n [2, 3, 1],\n [0, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-3, -1, 0],\n [0, 3, -3],\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 (2, 1) of the 3th power of the matrix:\n[[3, 3, 3],\n [0, 1, -3],\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[[-1, -2, -2],\n [1, 3, -1],\n [3, 2, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 1],\n [0, 1, -2],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, 1],\n [1, 2, -3],\n [2, 3, 0]], determine the value at position (2, 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[[-1, -3, 0],\n [3, -2, 3],\n [2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, 0, -2],\n [0, -1, 2],\n [-2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -2],\n [0, -2, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-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": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-1, 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": "For the matrix power A^2 where A =\n[[0, 0, -2],\n [0, 0, 0],\n [-2, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 2],\n [0, 0, 3],\n [2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -1],\n [-2, -1, 1],\n [-1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[1, 0, -3],\n [2, 2, 3],\n [1, 1, 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^2 where A =\n[[-1, -1, 2],\n [-3, -1, 2],\n [-1, 0, -1]], determine the value at position (1, 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^2 where A =\n[[-2, 0, -3],\n [0, -3, 3],\n [1, -2, 3]], 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": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 1, 1],\n [0, -3, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [2, 2, 2],\n [0, 2, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, -1],\n [0, 2, 1],\n [0, 0, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[3, -3, 3],\n [0, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 2],\n [2, 1, 1],\n [-3, 0, 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 all entries of the matrix A^3 where A is:\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": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 1, -1],\n [-2, 1, -1],\n [-2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 2],\n [0, 0, -2],\n [2, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, 1],\n [0, -2, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -2],\n [0, -2, -1],\n [-2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, -2],\n [-2, 0, 0],\n [-2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[3, 2, 1],\n [0, 0, 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 all entries of the matrix A^3 where A is:\n[[-2, -1, 1],\n [-2, 3, 2],\n [0, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -1],\n [0, 3, 2],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -2, 1],\n [0, 0, 2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 2, -2],\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 absolute values of all entries of the result:\nA =\n[[-3, 1, 1],\n [0, 0, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, 3],\n [-1, 0, -2],\n [0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "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],\n [0, -2, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[1, 3, 3],\n [-2, -1, 2],\n [3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 1, 2],\n [1, 3, 0],\n [-1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 2],\n [0, 2, -1],\n [2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, 3, 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": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -3],\n [0, -1, -3],\n [-2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, 2],\n [-3, 1, 0],\n [2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, -2],\n [3, -1, -3],\n [-2, -3, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[2, -1, 0],\n [1, 0, -2],\n [-2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 0],\n [-2, 3, 0],\n [0, 0, 0]], 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": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[3, 3, 3],\n [0, 3, 2],\n [3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, -3],\n [0, -3, 1],\n [0, 0, -1]]?\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, 2) of the matrix A^3 where A is:\n[[1, -3, 1],\n [-3, -3, 0],\n [1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[3, 3, -1],\n [-3, 0, -1],\n [1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 1, -2],\n [1, 3, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 1],\n [0, -2, -3],\n [1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[3, 2, 3],\n [0, 3, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, -3],\n [2, -3, 0],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, -3],\n [-3, 1, -2],\n [3, 0, 1]], determine the value at position (1, 2).\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 (3, 2) of the matrix A^2 where A is:\n[[1, -1, -1],\n [-1, -2, -1],\n [-1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, 2],\n [1, 1, -3],\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": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 3, 2],\n [1, -3, 0],\n [2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "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],\n [0, -1, 0],\n [0, 0, 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 (1, 1) of the result:\nA =\n[[-1, 2, 0],\n [2, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, -1],\n [0, -2, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 3, 2],\n [0, -3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, 1, 2],\n [1, 0, 0],\n [2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -1],\n [-1, -3, -3],\n [0, 0, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, -3],\n [-3, 2, -2],\n [2, -2, 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[[1, 1, 2],\n [0, 1, -2],\n [2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, 2],\n [1, -3, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "313", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\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": "-96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, -1],\n [-3, 2, 0],\n [-2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 2],\n [0, 2, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, -1],\n [1, 3, 0],\n [0, -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 sum of all entries of the result:\nA =\n[[-1, -1, 2],\n [0, -3, 2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th 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": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-1, -2, 0],\n [-2, -1, -2],\n [0, -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 all entries of the result:\nA =\n[[-2, 0, 0],\n [0, 0, -1],\n [0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 3],\n [0, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, 1],\n [0, -3, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, 1, 2],\n [0, 0, 1],\n [0, 0, 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^2 where A is:\n[[0, 0, 2],\n [0, 1, 2],\n [2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[3, -2, 0],\n [1, 1, 0],\n [-3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, -3, 0],\n [3, -2, -2],\n [-2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[1, 0, 0],\n [0, 3, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 3],\n [0, 2, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -1, -3],\n [1, 2, 3],\n [-3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-2, 0, -1],\n [0, 3, 0],\n [-1, 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^2 and find the value at position (2, 2) of the result:\nA =\n[[1, 1, 1],\n [1, 3, -2],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 2, -2],\n [2, 2, -2],\n [-2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 0],\n [0, -1, 0],\n [0, 0, -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^2 and find the value at position (3, 3) of the result:\nA =\n[[-3, -2, 2],\n [0, -2, 1],\n [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 absolute values of all entries of the matrix A^2 where A is:\n[[-3, -1, -1],\n [-1, 3, 0],\n [-1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -2, 3],\n [0, -2, 3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 3, 2],\n [0, -1, 1],\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 sum of all entries of the matrix A^3 where A is:\n[[2, -2, -3],\n [0, 0, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, 0],\n [2, 2, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, 1],\n [0, -2, 2],\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": "For the matrix power A^2 where A =\n[[2, 3, -3],\n [0, -1, -2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, 3],\n [0, 3, -1],\n [0, 0, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, 2],\n [0, -3, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, -2, 0],\n [-2, 3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, 2, 0],\n [2, 2, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-2, -3, 3],\n [0, -2, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[1, -1, -1],\n [-1, -1, -2],\n [-1, -2, 3]]?\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[[0, -1, 2],\n [-1, -3, 0],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -3, -2],\n [0, -1, 3],\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 2th power of the matrix:\n[[2, -2, 0],\n [-2, -2, 2],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, -2],\n [0, 2, -1],\n [0, 0, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -2],\n [3, -3, 3],\n [-1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, -1],\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": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 0],\n [-2, 3, -1],\n [3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "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, 2, 2],\n [2, -3, -1],\n [2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 0],\n [-1, 1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 1, 2],\n [-3, -3, 1],\n [1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, 3],\n [2, 3, 1],\n [1, -2, -3]]?\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 absolute values of all entries of the result:\nA =\n[[3, 1, 0],\n [1, -3, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, 0, 1],\n [0, -3, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -2, 0],\n [-2, 1, -1],\n [0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -1],\n [2, 1, 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": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -2, -2],\n [0, 3, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 0],\n [2, 3, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "327", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-2, -3, -2],\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": "For the matrix power A^2 where A =\n[[3, -1, 1],\n [3, -2, -1],\n [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": "39", "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, 0, -1],\n [2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 1],\n [0, 1, 2],\n [1, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[3, 0, -3],\n [0, 2, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 1],\n [0, 0, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 3],\n [1, 3, -1],\n [-2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 0],\n [0, -2, -2],\n [0, 0, 0]]\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[[-3, 0, 0],\n [0, -1, 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": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries 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": "127", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -2],\n [0, 0, 2],\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": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, 1],\n [0, 0, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-3, 0, 2],\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": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[3, -2, 1],\n [1, 1, 0],\n [1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-2, 0, 1],\n [0, 2, 0],\n [1, 0, -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[[-1, 0, 2],\n [0, 3, 1],\n [2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\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": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 0],\n [-2, 2, -1],\n [2, 1, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, -1],\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": "For the matrix power A^2 where A =\n[[3, -1, 3],\n [2, -2, 3],\n [-3, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -3, 3],\n [2, 2, -2],\n [-1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values 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": "34", "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 [0, 0, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, 0, 2],\n [3, 1, 3],\n [1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, -3],\n [1, 2, 1],\n [0, -2, -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^2 where A =\n[[1, -1, 0],\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": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 2],\n [-2, -1, -2],\n [2, -2, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-1, 0, 1],\n [0, -1, -2],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[1, 0, -1],\n [0, 2, 0],\n [-1, 0, 0]]\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, 1) of the 2th power of the matrix:\n[[1, 3, -3],\n [0, -1, 1],\n [0, 0, 2]]\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 2th power of the matrix:\n[[-2, 3, 2],\n [3, 3, 0],\n [2, 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 all entries of the matrix A^3 where A is:\n[[0, 3, 1],\n [0, 1, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 1, 2],\n [1, -1, -3],\n [2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 1],\n [0, 0, -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": "10", "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, -3, 2],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 2, -3],\n [0, 3, -3],\n [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 2th power of the matrix:\n[[3, 0, -1],\n [-3, 1, -2],\n [3, -2, -1]]\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 2th power of the matrix:\n[[3, -3, 1],\n [3, -1, 2],\n [1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -3],\n [1, -1, 2],\n [-3, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, -3],\n [0, -1, -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": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 1, 0],\n [1, -3, -3],\n [0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 1, 2],\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": "For the matrix power A^3 where A =\n[[-2, 1, 1],\n [0, 3, 0],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[0, 0, 2],\n [0, -3, 1],\n [2, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0],\n [2, -3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, 2],\n [0, 2, -2],\n [0, 0, 3]], 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -1, 2],\n [-3, 0, -3],\n [3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, -2],\n [3, 0, 0],\n [1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 1],\n [1, -2, 1],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "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, 0],\n [-2, 0, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, 0],\n [0, 1, 1],\n [0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 3],\n [0, -1, 2],\n [0, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -2, -3],\n [-3, 0, 0],\n [-2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-1, -2, 2],\n [-2, -1, 0],\n [2, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -3],\n [0, 0, 0],\n [0, 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^3 where A =\n[[0, 0, 1],\n [0, -1, 2],\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": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 0],\n [0, -2, 2],\n [0, 0, 2]], 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": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 0, 2],\n [0, -1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, 1, 1],\n [-1, -3, 1],\n [2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 2, -1],\n [1, 1, -3],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -2],\n [0, 0, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) 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": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -3],\n [3, 2, -2],\n [-2, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0],\n [0, 1, -2],\n [0, -2, -1]]\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 2th power of the matrix:\n[[1, 1, -2],\n [1, 2, 2],\n [-2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -3, -3],\n [0, -1, -2],\n [0, 0, 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^3 and find the sum of all entries of the result:\nA =\n[[3, -3, -3],\n [-3, -1, -2],\n [-3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-327", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, -1],\n [1, 0, -2],\n [-3, 0, 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 3, 3],\n [-2, -1, -2],\n [-3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "270", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 1],\n [0, 2, -1],\n [1, -1, 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^2 and find the value at position (3, 1) of the result:\nA =\n[[-1, 1, 0],\n [1, 0, 2],\n [0, 2, 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^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 1],\n [-2, 1, -1],\n [0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-2, -2, 2],\n [0, 0, 3],\n [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 value at position (3, 2) of the result:\nA =\n[[1, -1, -1],\n [1, 3, 3],\n [-2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, -2],\n [0, 0, -3],\n [-2, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, -2],\n [-2, 2, 2],\n [-2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "288", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -2],\n [2, 1, 2],\n [0, 3, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 2],\n [1, 3, 3],\n [-3, 3, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 2],\n [0, 3, -1],\n [2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "213", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[2, 1, -1],\n [1, 1, -2],\n [-1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 0],\n [1, -1, 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": "171", "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, 0, -1],\n [3, 0, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 3, 1],\n [3, 3, 0],\n [3, -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^2 and find the value at position (3, 1) of the result:\nA =\n[[-2, 3, 3],\n [-3, 2, -2],\n [0, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 2],\n [0, -2, 1],\n [-1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, -2],\n [-2, -2, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -3],\n [-1, 3, 3],\n [-1, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[2, 0, 0],\n [0, 1, -1],\n [0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 1],\n [0, -2, -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": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[3, 0, 2],\n [0, 0, -2],\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 all entries of the matrix A^2 where A is:\n[[0, -1, 1],\n [-1, 0, 0],\n [1, 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, -2, 0],\n [-2, -2, -3],\n [0, -3, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 2],\n [-2, 3, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -1],\n [0, 3, 2],\n [-1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[0, -1, 0],\n [0, 3, 2],\n [1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0],\n [2, 3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -1],\n [0, 2, -3],\n [0, -3, 0]], determine the sum 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^2 where A is:\n[[2, -1, 0],\n [-1, -2, 2],\n [0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, 0],\n [-1, -1, 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, 2, 2],\n [2, 0, 0],\n [2, 0, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 3],\n [3, -1, 2],\n [2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, -3],\n [0, 0, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, 0],\n [-2, -2, 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^3 where A is:\n[[-1, -2, -1],\n [0, 0, 3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 0],\n [1, -3, 2],\n [0, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, -1],\n [0, 3, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 2, 1],\n [0, 1, -1],\n [2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[2, -1, 2],\n [-2, 0, -1],\n [-2, -2, 3]]\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[[2, 1, 0],\n [0, -3, -3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-1, -3, 2],\n [3, -2, -1],\n [-3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 3],\n [0, -2, 3],\n [-1, 2, -3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, -2],\n [0, -3, -1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 0],\n [3, -1, 1],\n [0, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, 0],\n [3, 0, 0],\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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, -1],\n [0, 1, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -2, 3],\n [-1, -3, 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, -1, -3],\n [0, -2, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 0],\n [0, -3, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, -1],\n [0, 3, 0],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 3],\n [0, -3, -3],\n [0, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "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 [1, -3, 0],\n [-1, 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, 2, -1],\n [0, 2, 1],\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": "86", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, -3],\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": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 2],\n [0, 3, 2],\n [0, 0, 3]], 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": "For the matrix power A^3 where A =\n[[3, 1, 1],\n [1, 3, 0],\n [-2, 1, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 3, -3],\n [0, 2, 2],\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 value at position (1, 1) of the 3th power of the matrix:\n[[-1, 0, 3],\n [0, 1, 1],\n [0, 0, 2]]\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[[3, -3, -1],\n [0, 1, -3],\n [0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, 2],\n [0, -2, 3],\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": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-1, 2, -2],\n [0, 1, -3],\n [-3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 0],\n [-2, 0, 1],\n [1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, 0, 1],\n [0, 2, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 1],\n [0, -2, 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": "73", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, -3],\n [1, 1, -3],\n [-3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, 1],\n [0, 0, -1],\n [1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -3],\n [2, 3, 2],\n [-3, 1, 0]]\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[[-1, 0, 1],\n [0, -1, 2],\n [1, 2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, 0],\n [-3, 3, 1],\n [-2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -3],\n [0, 1, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 1],\n [0, -1, 0],\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 absolute values of all entries of the result:\nA =\n[[3, -3, -1],\n [0, 1, 1],\n [0, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 0],\n [-2, -2, -2],\n [1, 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, 1],\n [2, -1, 2],\n [1, -1, -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 (2, 2) of the 2th power of the matrix:\n[[-3, -2, -1],\n [0, 2, -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^2 and find the value at position (3, 2) of the result:\nA =\n[[2, 1, 0],\n [3, 2, 2],\n [-3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-2, -2, 0],\n [-2, 1, -2],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -2],\n [0, -3, -3],\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": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 0, 0],\n [0, -3, -2],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 2, 0],\n [2, 3, 0],\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 sum of all entries of the 3th power of the matrix:\n[[-1, 2, -2],\n [0, 1, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[3, 3, 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 3, 2],\n [0, 1, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, 1, -2],\n [-1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, 1],\n [3, 3, 3],\n [-1, 2, 3]], determine the value at position (2, 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[[0, -1, -3],\n [0, -3, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, 1],\n [0, -1, 1],\n [2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, -1, 2],\n [0, 3, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, -3],\n [0, -1, 2],\n [-3, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 3, -2],\n [0, -1, -1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 3],\n [2, -1, 2],\n [3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [0, 2, -1],\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": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, -3],\n [3, 0, -2],\n [-2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, -2],\n [0, -2, -1],\n [-2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -1],\n [3, 1, -1],\n [-2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -2, 0],\n [-2, 1, -3],\n [0, -3, 2]]\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^2 where A is:\n[[0, -2, -1],\n [-2, 3, -1],\n [-1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 1],\n [-1, -2, 3],\n [1, 0, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, -1, 1],\n [1, 2, -2],\n [1, 2, -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 2th power of the matrix:\n[[0, -1, 1],\n [1, 2, -2],\n [3, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -3],\n [-3, -2, -2],\n [-2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 2],\n [0, 1, -2],\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 value at position (3, 2) of the 3th power of the matrix:\n[[-2, 1, 2],\n [-3, -3, -2],\n [1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -2],\n [0, 3, -1],\n [0, 0, -2]], 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": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-3, 1, 3],\n [0, 2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[0, -2, 2],\n [0, 0, -2],\n [0, 0, 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[[2, 3, 0],\n [0, 3, -1],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 3, 3],\n [-1, -2, 3],\n [-3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, -1],\n [1, -1, 0],\n [-1, 0, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, 0],\n [0, 1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[0, 2, -3],\n [-3, -1, -2],\n [1, 3, 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^2 and find the sum of all entries of the result:\nA =\n[[2, 1, 0],\n [1, -3, 2],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2],\n [0, 1, 0],\n [2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 2],\n [0, -2, 2],\n [0, 0, -3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 3, -2],\n [0, 2, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 0],\n [1, 0, -3],\n [0, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1],\n [-1, 1, 3],\n [3, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 0, 1],\n [0, 1, 1],\n [1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -2, -2],\n [-2, 1, 1],\n [-2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, -2],\n [0, -1, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 2, -3],\n [2, 3, 0],\n [-3, 0, 3]]\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 all entries of the result:\nA =\n[[-2, -1, 0],\n [-1, 1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0],\n [2, -2, -2],\n [0, -2, -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^2 where A =\n[[-3, 0, 0],\n [0, 1, 0],\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": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 2],\n [-2, -3, -2],\n [2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "386", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 1, -2],\n [0, -3, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[3, 2, -2],\n [0, 0, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0],\n [-2, -3, 0],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-214", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 0],\n [0, 0, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -3, -3],\n [-1, -1, 3],\n [1, -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[[1, 3, 1],\n [0, 1, -1],\n [0, 0, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 0],\n [1, 2, 1],\n [0, 1, 0]], determine the value at position (1, 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 all entries of the matrix A^2 where A is:\n[[2, 2, 1],\n [2, -3, 0],\n [1, 0, -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, 1) of the 2th power of the matrix:\n[[-2, -3, 0],\n [2, 3, 1],\n [-3, 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^2 where A =\n[[-3, -3, -2],\n [-1, 1, 2],\n [-2, -1, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -3, 2],\n [0, -3, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, -1],\n [2, -3, 2],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -1, 3],\n [0, 0, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-1, 2, -3],\n [2, 3, -1],\n [-2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[2, 2, 0],\n [3, -2, 0],\n [3, -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^2 where A =\n[[-2, -1, 0],\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": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[0, -3, 1],\n [0, 1, -3],\n [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^3 and find the sum of all entries of the result:\nA =\n[[3, 2, -3],\n [0, -3, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 3],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 3],\n [-2, 2, -3],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "251", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 1, 1],\n [-3, 0, -2],\n [1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 0],\n [-2, 1, -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": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[0, 3, 3],\n [0, -1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 0],\n [0, -3, -1],\n [0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -2, 3],\n [-1, 2, 2],\n [3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 2],\n [-1, 2, 2],\n [2, 2, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries 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": "183", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, 0],\n [-2, 1, 3],\n [0, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -2],\n [0, 2, 0],\n [-2, 0, -3]], 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^2 where A =\n[[1, 1, -3],\n [2, -2, 0],\n [-1, 3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 2],\n [-2, -2, -2],\n [2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, 2, -2],\n [3, 1, -1],\n [1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -1, 0],\n [-1, 1, -1],\n [0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -2, -2],\n [-2, -3, -2],\n [1, 3, 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^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2],\n [2, -2, 2],\n [3, -1, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -2],\n [0, 3, -2],\n [-2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, -2],\n [0, 3, 1],\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": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, 2],\n [3, 3, -2],\n [0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 2, 3],\n [-1, 0, 1],\n [3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 0],\n [-2, 3, 0],\n [3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2],\n [0, 1, 0],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-2, -1, 0],\n [0, -2, -2],\n [0, 2, -3]]?\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 2th power of the matrix:\n[[2, -2, -1],\n [-2, -1, 1],\n [-1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 3],\n [-1, 1, -1],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -1],\n [-1, -1, 2],\n [3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 2],\n [0, 0, -1],\n [0, 0, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[2, 3, -1],\n [0, -3, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -1, 2],\n [-3, 1, -2],\n [-2, 2, -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^2 and find the sum of all entries of the result:\nA =\n[[-2, 2, 3],\n [2, -2, 2],\n [-1, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 3, 1],\n [0, -1, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-1, -3, -1],\n [0, 2, 3],\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 3th power of the matrix:\n[[-2, -1, 3],\n [0, -1, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, -1],\n [0, -3, -3],\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^2 and find the sum of all entries of the result:\nA =\n[[-1, 2, -3],\n [0, 3, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 3],\n [-3, 0, 1],\n [3, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, -1],\n [1, -1, -1],\n [2, -3, -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[[3, -1, -1],\n [2, 0, 3],\n [-3, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1],\n [0, 3, 2],\n [0, 0, 1]], 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 1, 2],\n [-3, 2, 3],\n [-1, -1, 0]]\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[[-3, 0, 2],\n [0, 2, -2],\n [2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -2],\n [0, 1, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 3],\n [0, 0, -3],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\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": "-7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -2],\n [-3, 3, 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": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 3, 1],\n [3, 1, -2],\n [1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2],\n [0, 2, 2],\n [0, 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": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-2, 0, -2],\n [0, 1, -2],\n [-2, -2, 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[[0, 1, 0],\n [1, 3, -3],\n [0, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 2],\n [-3, -3, 3],\n [-1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-2, -2, -2],\n [0, 2, -1],\n [0, 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 3th power of the matrix:\n[[-2, 2, 2],\n [0, 2, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 3, -1],\n [0, 3, -1],\n [-1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 0, -2],\n [0, -1, 1],\n [-2, 1, 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^2 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2],\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": "What is the value at position (2, 2) 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": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 3, 0],\n [3, -2, -2],\n [0, -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^2 where A =\n[[0, 1, 0],\n [1, -1, 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": "-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[[0, 0, 0],\n [0, -2, 1],\n [0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, 2, 2],\n [2, -3, -2],\n [2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 3],\n [0, -2, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 2],\n [-2, 3, -1],\n [1, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -1, 0],\n [0, 2, -1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 0],\n [-2, -2, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 1],\n [0, -3, 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^2 where A =\n[[0, -2, 0],\n [-2, -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": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 1],\n [0, -2, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[3, 2, 1],\n [0, 3, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -3, -3],\n [3, 0, 1],\n [-1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 2, 3],\n [0, 1, -1],\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 value at position (3, 2) of the matrix A^3 where A is:\n[[0, -2, -2],\n [-2, 2, 0],\n [-2, 0, 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^2 and find the value at position (2, 1) of the result:\nA =\n[[-1, -2, 0],\n [3, 0, -2],\n [3, 3, 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 absolute values of all entries of the matrix A^2 where A is:\n[[2, 1, -3],\n [0, -2, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 2],\n [-3, 1, -1],\n [2, -1, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -2],\n [3, 3, -2],\n [1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[0, -3, 1],\n [0, -2, -2],\n [0, 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^2 where A =\n[[2, -2, -3],\n [3, -2, -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": "-19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 3],\n [2, -2, 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": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -3],\n [0, 2, 0],\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": "181", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -1],\n [0, 1, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, -3],\n [0, 2, -2],\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": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, -1, 3],\n [0, -2, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, -2],\n [1, 0, 0],\n [-2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[3, -3, -1],\n [0, 1, -3],\n [0, 0, -3]]\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^3 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": "229", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 2],\n [1, -1, 3],\n [-2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, -3],\n [1, 3, 3],\n [3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 3],\n [3, 3, -3],\n [1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, 1, 1],\n [3, -2, 3],\n [2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, 2],\n [-1, -2, -2],\n [2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "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, 0],\n [1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, 0],\n [0, -3, -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": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1],\n [0, 0, 2],\n [0, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[-2, 2, -1],\n [0, -1, 2],\n [0, 0, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 2],\n [-1, -2, -3],\n [3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "485", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -1],\n [3, 0, 0],\n [-3, -2, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[2, -2, -3],\n [1, 2, -3],\n [3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[1, 1, -1],\n [1, -2, -2],\n [-1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, 3, -2],\n [0, -1, -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 all entries of the 2th power of the matrix:\n[[3, 0, -2],\n [0, 3, -2],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[1, -3, -2],\n [2, -2, -2],\n [2, -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^2 where A is:\n[[3, 3, -3],\n [0, -2, -3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, 0],\n [0, -3, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\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": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, -3],\n [0, 2, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 2, 0],\n [0, -1, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -1],\n [0, 1, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "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, 2],\n [0, 2, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, -1, 1],\n [-1, 1, 0],\n [1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, -3, 2],\n [3, -3, -2],\n [-2, -3, 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 all entries of the matrix A^3 where A is:\n[[-3, 3, 1],\n [0, -3, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 0],\n [0, 2, -2],\n [0, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 1],\n [-3, 3, -3],\n [1, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-111", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 3, 0],\n [0, 0, 3],\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 sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 3, -1],\n [-2, 2, 3],\n [2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "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, 0],\n [-1, -1, -2],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "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],\n [0, 0, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 0],\n [-2, 3, -3],\n [1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "286", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 2],\n [0, 3, -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": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, 2, 0],\n [0, 0, -3],\n [3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, -1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-1, 2, -3],\n [0, -1, -2],\n [3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 3],\n [0, 1, 1],\n [0, 0, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-3, 3, 3],\n [-1, -3, 0],\n [0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, -1, -1],\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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 0],\n [2, -1, -1],\n [0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0],\n [-2, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\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": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 0],\n [0, 2, 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": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, -2],\n [3, -2, 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": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, 1, 1],\n [-2, 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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 0],\n [0, -1, -2],\n [0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[3, 3, 1],\n [2, -3, 0],\n [-3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -1, 3],\n [-1, -2, 3],\n [2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 0],\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": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[3, 1, -3],\n [0, -3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -2],\n [-3, 3, 0],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -1, -3],\n [0, 1, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 1, 3],\n [-2, -3, 1],\n [-1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[1, 0, 0],\n [0, -1, -3],\n [0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, 2],\n [0, -1, -2],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, 2],\n [1, 3, 1],\n [-2, -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^2 and find the sum of all entries of the result:\nA =\n[[1, 0, -3],\n [0, 1, -3],\n [-3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 1],\n [-3, 1, 1],\n [1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, -3],\n [1, 1, -1],\n [3, -2, -2]], 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^2 where A =\n[[1, 1, 2],\n [-2, 2, 2],\n [-1, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -1, -3],\n [0, -3, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2],\n [1, 0, -1],\n [-2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -2, 0],\n [0, -2, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[2, -3, 2],\n [0, 2, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[3, -1, 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 1, -1],\n [0, 3, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, 2],\n [-1, 3, -1],\n [1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -2, 2],\n [-2, -3, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[1, -2, 0],\n [-2, 2, 0],\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 (2, 1) of the 3th power of the matrix:\n[[1, 0, 1],\n [-3, 0, 0],\n [-3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 3, 2],\n [0, -2, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[3, 0, -2],\n [0, -2, 1],\n [-2, 1, 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[[-3, 3, -2],\n [0, -1, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[3, 3, -1],\n [3, 0, 3],\n [-3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 0],\n [0, 3, -2],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-3, 0, 1],\n [3, -3, -2],\n [-3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, 1, -2],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 2],\n [0, 0, 1],\n [-1, -1, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -2],\n [0, 1, 0],\n [-2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, -3],\n [0, 2, -3],\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": "For the matrix power A^3 where A =\n[[1, 1, -2],\n [0, 3, 0],\n [0, 0, -3]], 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": "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, 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^2 and find the value at position (1, 3) of the result:\nA =\n[[1, -3, -1],\n [0, -2, 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^3 where A =\n[[-2, 0, 1],\n [2, -2, -1],\n [3, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 2],\n [3, 0, 2],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-1, -1, 2],\n [0, 2, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 0],\n [2, 3, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[2, -1, 3],\n [-1, 1, 2],\n [3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[0, -2, -1],\n [0, 1, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, -3],\n [0, -2, 1],\n [0, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 1],\n [0, -3, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) 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": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[3, 1, 1],\n [0, 1, 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, 3],\n [0, -2, -2],\n [1, 2, 1]]\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, 3) of the matrix A^2 where A is:\n[[1, -3, 2],\n [0, 1, 2],\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[[0, -3, -1],\n [1, -3, -3],\n [2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 2],\n [2, -2, -1],\n [1, -2, -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 all entries of the matrix A^2 where A is:\n[[1, 1, 2],\n [2, 1, -1],\n [0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[0, -2, -2],\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[[0, 2, 1],\n [-3, 2, 0],\n [-1, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 3],\n [-2, -2, -1],\n [-3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2],\n [0, 2, -2],\n [-2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-3, -1, 0],\n [-1, 0, -2],\n [0, -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^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 2, 2],\n [2, 0, -1],\n [2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -3],\n [1, 1, 0],\n [1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-3, -1, 2],\n [-1, 1, 2],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[0, 2, 0],\n [2, 0, 2],\n [0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, -1],\n [1, 0, 2],\n [-1, 2, 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": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -2, -2],\n [0, -1, 2],\n [-2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 0, -1],\n [0, 0, -2],\n [0, 0, -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 3th power of the matrix:\n[[3, 0, 3],\n [0, 1, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -1, 0],\n [0, 3, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, 3],\n [-3, 2, -1],\n [-3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, -1],\n [2, -1, 2],\n [2, -2, 0]]?\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 2th power of the matrix:\n[[2, 1, 2],\n [1, 0, 2],\n [2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, 2],\n [3, 3, -3],\n [-2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, -2, -2],\n [1, -2, 0],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, 2, -3],\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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -1, 0],\n [0, -1, 1],\n [0, 0, 1]]?\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 2th power of the matrix:\n[[2, -1, -3],\n [0, -2, -3],\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 value at position (3, 1) of the matrix A^3 where A is:\n[[3, -2, 0],\n [1, 2, 0],\n [3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0],\n [0, 3, -2],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\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": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -2],\n [0, -1, 1],\n [0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, 0, 1],\n [0, -1, 0],\n [1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 2],\n [0, 0, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, 2],\n [-1, 2, 0],\n [2, 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 absolute values of all entries of the 3th power of the matrix:\n[[1, -2, -2],\n [-3, -3, 0],\n [3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 1, 0],\n [0, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -1],\n [0, -2, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 1],\n [-2, 3, 0],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 3],\n [-3, 1, 0],\n [-3, -1, 1]], determine the value at position (1, 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^3 where A is:\n[[-2, 0, -3],\n [-1, 2, -2],\n [-2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-269", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, 0],\n [-2, -3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-1, -1, -2],\n [0, -2, -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 sum of all entries of the 2th power of the matrix:\n[[3, 3, -3],\n [0, -1, -3],\n [0, 0, -2]]\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 all entries of the result:\nA =\n[[3, 0, -2],\n [0, 2, -1],\n [-2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 0],\n [0, 2, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[0, 0, 0],\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": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, -3],\n [2, -3, 0],\n [-3, 0, 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, -2, 1],\n [3, 3, 1],\n [3, 2, 3]]\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^3 where A is:\n[[-1, 2, -1],\n [3, -3, -3],\n [0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -2, 2],\n [-2, 1, -1],\n [2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[2, -2, -1],\n [0, 3, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 0],\n [1, 1, 3],\n [-1, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0],\n [0, 1, 1],\n [0, 1, 0]], 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, -2],\n [0, -1, -2],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, 1, -2],\n [1, -3, 0],\n [-2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 0],\n [-2, 0, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[1, 0, 3],\n [-2, 2, 0],\n [2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -1],\n [-1, -3, 0],\n [3, 0, -3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, -1, 1],\n [-2, 0, 0],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 0, 0],\n [0, -1, -2],\n [0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[1, -2, -2],\n [-2, 3, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2],\n [-2, 3, 0],\n [-3, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 1],\n [0, -2, 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": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[1, 3, -2],\n [0, 0, -3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, 2],\n [-2, 2, 1],\n [0, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -1, 0],\n [-1, 2, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 3],\n [1, -3, 2],\n [3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "405", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, 3],\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": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-2, 1, 3],\n [-1, 3, 1],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 3, 3],\n [0, -2, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -1, 0],\n [-1, -3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2],\n [-1, 1, 2],\n [2, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -2, -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": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 1],\n [2, -1, -1],\n [1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -3],\n [0, 1, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "277", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -2],\n [0, -3, -3],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 1],\n [3, -1, -3],\n [1, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -2],\n [2, 0, -3],\n [-2, -3, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -2],\n [0, -1, -2],\n [1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "307", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 3],\n [0, 0, -1],\n [0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 1, 2],\n [1, -3, 2],\n [2, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 1],\n [0, 2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 3],\n [0, 1, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -1, -2],\n [0, -2, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, 3],\n [-1, 3, 0],\n [-2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, 1, 2],\n [1, 0, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[3, 2, 2],\n [1, 2, -3],\n [2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, 1, -1],\n [1, 0, 1],\n [-1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -2, -1],\n [-2, -2, 2],\n [-1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -2, 3],\n [0, -3, -1],\n [2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[0, 0, -1],\n [0, -3, 1],\n [-1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 1],\n [-2, 0, -3],\n [1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -3, 0],\n [0, 2, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, -3],\n [0, 1, -1],\n [-3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, -1],\n [3, -1, -2],\n [-1, -2, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, -2],\n [0, -1, 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": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 1],\n [0, 3, -2],\n [1, -3, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, -3],\n [3, 1, 1],\n [1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 3],\n [0, 2, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[1, 3, 0],\n [3, -3, 3],\n [1, -3, 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 2th power of the matrix:\n[[2, -3, 0],\n [0, 0, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 1],\n [1, -1, -2],\n [-3, -3, 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, 1) of the result:\nA =\n[[2, 0, 2],\n [0, 3, 2],\n [2, 2, 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 (1, 2) of the matrix A^2 where A is:\n[[3, 1, -2],\n [0, 1, 2],\n [0, 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^3 where A is:\n[[0, -2, 0],\n [-2, 0, -1],\n [0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 2, -2],\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^2 and find the value at position (2, 2) of the result:\nA =\n[[-3, -3, 2],\n [0, 2, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, -2],\n [-2, 3, -2],\n [-2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "289", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -1, 1],\n [0, -1, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -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[[3, 3, 1],\n [0, -2, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, 2],\n [1, 2, -1],\n [3, 1, 2]]\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 (1, 2) of the matrix A^2 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": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, 2, -2],\n [2, 2, -1],\n [-2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 3, -1],\n [3, 0, 2],\n [-1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -1, 0],\n [-1, 3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -3, -1],\n [3, 1, -3],\n [1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 0, -2],\n [0, 0, 2],\n [-2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -2],\n [-2, 0, -3],\n [-1, 2, -1]], 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^2 where A =\n[[-3, 3, -2],\n [0, 1, 1],\n [0, 0, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, -2, 2],\n [-2, 1, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, -2, 0],\n [-2, 1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, -2],\n [0, -2, 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": "For the matrix power A^3 where A =\n[[3, -2, 1],\n [0, -1, -1],\n [0, 0, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, 3, -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": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 1, 0],\n [1, -1, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0],\n [0, -1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, 0],\n [0, 0, 2],\n [0, 0, -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[[3, -3, -1],\n [0, 3, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, -2, 0],\n [-2, 1, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, -1],\n [2, 1, -3],\n [0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, -2, 0],\n [-2, -1, -2],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, -2],\n [-2, -3, -2],\n [-2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-649", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, 3, -3],\n [1, 2, -2],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, -1],\n [2, 1, -1],\n [-1, -1, -2]]\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 3th power of the matrix:\n[[-3, -3, 0],\n [2, 3, -3],\n [3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[1, -1, -1],\n [-1, 0, 2],\n [-1, 2, 0]]?\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, -1, 2],\n [0, 0, -1],\n [-1, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 3, 0],\n [0, 0, 2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -2, 2],\n [0, 3, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, 3],\n [1, 0, -2],\n [3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "542", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-3, -1, 3],\n [-3, 0, 2],\n [-2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, 2],\n [0, -2, 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": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -2],\n [0, -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": "54", "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 [0, -3, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, 0],\n [2, -3, 3],\n [3, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -2, 3],\n [0, 3, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[3, -1, -2],\n [-1, -2, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, -2, -2],\n [2, 1, -2],\n [2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, -3, -1],\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": "For the matrix power A^3 where A =\n[[2, -1, -1],\n [0, 3, 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": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, -1],\n [-2, -2, 3],\n [-3, 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[[-3, -2, 0],\n [1, 1, 0],\n [-1, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -2],\n [0, 0, -2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 1, 0],\n [1, -2, -2],\n [0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, -3],\n [1, -2, 3],\n [3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 1],\n [0, 0, -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": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 1, -2],\n [3, 1, 1],\n [2, 1, -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[[3, 1, 0],\n [3, -1, 1],\n [2, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "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],\n [0, 1, 2],\n [0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, 3],\n [0, -3, 1],\n [0, 0, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -2, 3],\n [0, 3, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -1, 0],\n [-1, -2, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -1],\n [0, 0, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, 1],\n [0, -1, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[0, 2, 0],\n [0, -2, -3],\n [0, 0, -1]]\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^2 where A is:\n[[-3, -2, -2],\n [-2, 0, 0],\n [-2, 0, 2]]?\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 2th power of the matrix:\n[[-1, 2, -1],\n [2, 0, -1],\n [-1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, 3],\n [0, 3, -3],\n [1, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-1, -1, -1],\n [-1, 1, 0],\n [-1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, -3, -1],\n [0, 2, -3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[2, 2, 0],\n [2, 1, -2],\n [0, -2, -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 value at position (1, 3) of the result:\nA =\n[[1, 2, -2],\n [0, 1, 1],\n [0, 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[[2, 3, -1],\n [0, 3, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -2, 3],\n [0, 1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 3, 2],\n [3, 3, 1],\n [2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 2],\n [0, -1, 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": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, 0],\n [0, -3, 3],\n [0, 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 all entries of the result:\nA =\n[[-3, 2, 1],\n [2, 0, -2],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[0, -1, -2],\n [-1, -2, 2],\n [-2, 2, -3]]\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^2 where A is:\n[[-2, 0, -2],\n [-3, -2, 0],\n [-2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 0],\n [-1, 2, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2],\n [-3, 1, 0],\n [1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, -2],\n [0, -3, 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": "20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 1],\n [3, -2, 0],\n [-2, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 1],\n [3, 3, 3],\n [3, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, -2, -3],\n [0, -3, 0],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 0],\n [-3, 0, 3],\n [-1, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 1, 1],\n [1, 0, -2],\n [1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, 2],\n [3, -3, -1],\n [-2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 0],\n [-2, -3, 1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -3],\n [3, 2, 0],\n [0, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "854", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -1],\n [2, -1, -2],\n [-1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -2, 2],\n [0, 1, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -2],\n [0, 2, -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": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[3, 1, -2],\n [0, 2, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, -1],\n [0, -1, -1],\n [3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, -3],\n [1, -1, 1],\n [-3, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, -3],\n [0, -2, 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 0],\n [3, 1, -2],\n [0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 3],\n [0, 2, 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": "176", "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],\n [-2, -2, 3],\n [-2, -3, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 0],\n [-3, 0, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[2, 3, 2],\n [0, -2, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, -1],\n [2, 3, -2],\n [-1, -2, 3]], 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, -3],\n [0, 3, 0],\n [-3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, -3],\n [0, 3, 2],\n [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": "50", "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, 1],\n [0, 3, -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^2 and find the sum of all entries of the result:\nA =\n[[-2, 3, 1],\n [3, 3, -1],\n [1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 1],\n [3, 0, 1],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -2],\n [-3, 1, 1],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[0, 2, -2],\n [2, 2, 2],\n [-2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[0, 2, 1],\n [2, -1, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[0, 2, -2],\n [-2, 2, -1],\n [1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 2, -3],\n [0, -2, -3],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 1],\n [-3, 3, 0],\n [0, 3, -2]], determine the value at position (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 absolute values of all entries of the 2th power of the matrix:\n[[1, -1, 0],\n [-1, -2, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, 2, 3],\n [0, 0, -3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[0, 0, -2],\n [0, 1, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[1, 1, -1],\n [-3, 2, 3],\n [1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, -2, -2],\n [0, 1, -2],\n [0, 0, -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, 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": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, 0, 0],\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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 3],\n [0, 2, 1],\n [3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, 2],\n [-3, 1, 2],\n [-2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 0],\n [1, 0, 0],\n [0, 0, 0]]\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^3 where A is:\n[[0, 0, -2],\n [0, 1, -1],\n [-2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 1, 0],\n [-1, -1, -3],\n [1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, 2],\n [-2, 0, 2],\n [2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, -2],\n [-2, 1, -3],\n [3, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "443", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, 2, -2],\n [0, 2, 3],\n [0, 0, 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^2 where A =\n[[1, 0, 2],\n [2, 1, 2],\n [1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0],\n [0, -2, 0],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -2, -1],\n [0, 0, -3],\n [0, 0, 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^2 and find the value at position (2, 2) of the result:\nA =\n[[2, -1, 1],\n [2, 2, -2],\n [1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 2],\n [0, 2, 2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 1, 3],\n [3, 1, 3],\n [1, 2, 2]]\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, 3, 1],\n [0, 0, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 2],\n [0, 3, 2],\n [2, 2, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, 1, -3],\n [3, -1, -1],\n [-1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -3],\n [-2, -1, 2],\n [3, 2, 1]]?\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, 3) of the matrix A^2 where A is:\n[[-2, 3, 0],\n [0, 1, -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 value at position (2, 2) of the matrix A^2 where A is:\n[[1, -2, -2],\n [-2, 0, 1],\n [-2, 1, 0]]?\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, 1) of the matrix A^3 where A is:\n[[1, 0, -2],\n [0, 2, -2],\n [-2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 0],\n [2, -3, -1],\n [0, -1, -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, 1, 3],\n [0, 0, -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": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 1],\n [2, 2, 3],\n [-2, 3, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 2],\n [-3, 0, -2],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "529", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -1],\n [0, 1, 0],\n [-1, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0],\n [1, 2, 1],\n [2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -3],\n [3, -1, -3],\n [2, 1, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 1],\n [-2, 1, -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": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, 0],\n [0, -1, 2],\n [0, 2, -1]]?\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^2 where A is:\n[[-1, -1, -2],\n [-1, 3, 2],\n [-2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 0],\n [2, -2, -1],\n [0, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 1, 0],\n [1, -2, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, 2],\n [1, 0, 3],\n [-3, 0, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -1, 0],\n [-1, 0, 1],\n [0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 1],\n [-2, 2, 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": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 1, 0],\n [1, -1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, 2, -1],\n [2, 1, -2],\n [-1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[2, -1, 1],\n [-1, -1, 2],\n [-2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, 1],\n [0, 3, 0],\n [0, 0, -1]]\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[[1, 0, -3],\n [0, 2, 1],\n [-3, 1, 3]], determine the value at position (2, 3).\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 (2, 3) of the matrix A^2 where A is:\n[[1, -1, 3],\n [0, -1, 1],\n [0, 0, -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, -2],\n [1, -3, -3],\n [0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, 0, -2],\n [0, 1, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[3, 1, -3],\n [0, 0, -1],\n [3, 2, -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[[2, 0, 2],\n [0, -3, -2],\n [2, -2, 0]], determine the value at position (3, 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, 3) of the matrix A^3 where A is:\n[[1, -1, -2],\n [0, 0, 1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 2],\n [1, -2, 0],\n [1, 0, -1]], 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, 0],\n [-2, 0, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, 0],\n [-3, 2, 2],\n [0, 2, 0]]?\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 3th power of the matrix:\n[[-1, -1, 2],\n [-3, 2, -3],\n [1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 0],\n [-1, -1, -2],\n [0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 3, -3],\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": "For the matrix power A^2 where A =\n[[1, 0, 2],\n [1, 1, 2],\n [-1, -1, 3]], determine the value at position (3, 3).\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[[0, -1, 0],\n [0, -3, -2],\n [3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, -2],\n [2, -3, 1],\n [3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "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, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 1],\n [3, 3, -2],\n [3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 1],\n [0, -2, -3],\n [0, 0, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, -3, -3],\n [0, 2, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0],\n [2, -1, 2],\n [0, 2, -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^2 where A is:\n[[0, 0, 3],\n [0, -3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 2],\n [0, 3, 3],\n [0, 0, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -1, -3],\n [0, -3, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, -3],\n [1, 2, 0],\n [-1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -2, 0],\n [0, 2, -1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[3, -1, 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": "For the matrix power A^3 where A =\n[[-3, -2, 2],\n [1, 2, -1],\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": "9", "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, -1],\n [3, -1, 3],\n [-1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -1],\n [0, -3, 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": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 1],\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": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 2, -2],\n [-3, -2, -2],\n [1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 1, 2],\n [0, 2, -3],\n [2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, 1],\n [0, 1, 3],\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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, 1],\n [-2, -3, 2],\n [3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 1],\n [-1, 0, 1],\n [1, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "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, 0, 0],\n [0, -3, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[0, -1, -1],\n [3, -2, -1],\n [0, -3, 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 sum of absolute values of all entries of the result:\nA =\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": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -3],\n [0, 3, 1],\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": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, -2, -3],\n [3, -3, 3],\n [-1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -1, 1],\n [0, 2, 3],\n [0, 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 value at position (1, 3) of the result:\nA =\n[[3, 0, -1],\n [0, -3, 0],\n [-1, 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[[-2, -1, 2],\n [-1, 1, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[2, 2, -1],\n [2, -2, 0],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 1, -1],\n [0, 3, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 0],\n [0, -1, 2],\n [0, 0, -2]], determine the value at position (1, 2).\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[[-1, -3, 3],\n [-1, 3, 2],\n [-3, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 3],\n [-1, 0, -1],\n [0, -1, -3]], determine the value at position (2, 1).\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 2th power of the matrix:\n[[0, 0, 3],\n [0, -1, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[1, 1, 2],\n [0, -3, 0],\n [-2, 3, -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^2 and find the sum of all entries of the result:\nA =\n[[-2, 1, -2],\n [0, 3, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 3],\n [0, -1, 2],\n [0, 0, -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^2 where A =\n[[3, 0, 2],\n [0, -3, 1],\n [0, 0, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, -1],\n [0, 2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 3],\n [0, 0, 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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, 2],\n [0, -3, 1],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, -2],\n [1, -2, -3],\n [3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, -3],\n [-2, 0, 0],\n [3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, -2],\n [0, 2, -3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-3, -1, -3],\n [0, 1, -3],\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, 1],\n [2, -1, 0],\n [1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [0, 0, -2],\n [0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 2],\n [0, 0, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-1, -2, 3],\n [0, 0, -2],\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, 0, 0],\n [0, -3, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 2],\n [2, -3, 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": "75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2],\n [0, -2, 0],\n [2, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 3],\n [3, -1, -1],\n [-3, 2, -2]], determine the value at position (3, 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 absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -1],\n [0, 0, 3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, 0, -3],\n [0, -3, 0],\n [-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 sum of all entries of the matrix A^3 where A is:\n[[-3, -1, -3],\n [-2, -1, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-163", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 1],\n [2, 0, -2],\n [2, -2, -1]], 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": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -1, 1],\n [0, 3, 3],\n [-2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, -1, -3],\n [1, 3, 0],\n [2, -1, 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 all entries of the matrix A^3 where A is:\n[[-1, 2, 2],\n [2, 1, 2],\n [2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -3, 1],\n [-2, -2, -1],\n [3, 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[[0, -1, 0],\n [-1, -2, 1],\n [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": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[1, 0, 1],\n [0, 2, 0],\n [1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 1],\n [0, 0, -2],\n [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[[3, 2, 0],\n [0, 1, 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": "33", "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, 2, 0],\n [-2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -1, -3],\n [0, -1, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[2, 3, -2],\n [0, 2, 3],\n [0, 0, 0]]\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 (2, 3) of the matrix A^2 where A is:\n[[-3, 2, 0],\n [2, -2, 1],\n [0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 1, 0],\n [1, -1, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, -3],\n [0, -3, -2],\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 all entries of the matrix A^2 where A is:\n[[-1, 1, -1],\n [-1, -3, 2],\n [-1, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, 0],\n [0, 1, -3],\n [0, 0, -3]], 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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 1],\n [-2, 3, 2],\n [2, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[2, 2, 0],\n [0, 1, -3],\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 absolute values of all entries of the matrix A^2 where A is:\n[[3, 2, -3],\n [2, 1, 0],\n [-1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, -2],\n [-2, 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": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-3, -1, 0],\n [-1, -3, -3],\n [0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 2],\n [3, 0, 1],\n [3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "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, -2],\n [0, -2, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -1],\n [0, 0, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-1, -2, -1],\n [0, 3, -2],\n [0, 1, -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 all entries of the matrix A^3 where A is:\n[[-1, -2, 2],\n [-2, 0, 0],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 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": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 3, 3],\n [0, 3, -3],\n [0, 0, -3]]\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[[2, -1, 3],\n [-1, 3, -1],\n [-3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -1, 2],\n [0, 0, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0],\n [-2, -1, 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": "95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, 2],\n [0, 3, -2],\n [-2, 1, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[0, 0, 0],\n [0, 3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -3],\n [0, 1, 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": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-2, -1, 1],\n [0, 3, 1],\n [2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, 0],\n [0, -1, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 3],\n [-3, 0, 0],\n [-3, 3, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, 3, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0],\n [2, 0, -2],\n [-3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, 0],\n [0, 3, -3],\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": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, -3],\n [0, -1, -1],\n [0, 0, -2]]\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, 0, 0],\n [0, 2, -1],\n [0, -1, -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 all entries of the matrix A^2 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": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, -1, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 1],\n [2, -3, 3],\n [-3, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -2],\n [0, 2, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[2, 3, 3],\n [0, 2, -3],\n [0, 0, 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^2 where A =\n[[3, 3, -2],\n [-3, 1, 0],\n [1, 2, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -3, -1],\n [-1, -2, 0],\n [1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 1],\n [0, 3, 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": "18", "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, 0],\n [2, 1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, 0],\n [-1, -1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, -3, -1],\n [0, -1, -1]]\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 sum of all entries of the result:\nA =\n[[2, 0, -2],\n [0, -1, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 1],\n [0, 0, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, -2, -3],\n [0, 1, 2],\n [0, 0, 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[[1, -2, 0],\n [3, 2, -1],\n [-2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 1, 1],\n [0, 1, 1],\n [0, 0, -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^3 where A is:\n[[0, -2, -2],\n [3, 0, 1],\n [-3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -3],\n [0, -3, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 1],\n [3, 1, -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": "147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-2, 0, 2],\n [2, -2, 2],\n [0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, 2, 1],\n [2, -3, -1],\n [1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -2],\n [0, -2, 1],\n [0, 0, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [1, 2, -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": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, 0],\n [-3, 0, 3],\n [2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "618", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-1, -2, 1],\n [-2, 1, 0],\n [1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -1, -1],\n [-1, -2, 2],\n [-1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[1, -1, 1],\n [-3, 2, 1],\n [2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 1],\n [0, 1, -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": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 3],\n [0, -2, -1],\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": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, -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": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 1],\n [0, 2, 0],\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, -1],\n [0, -1, -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": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[3, 2, -1],\n [2, 3, 0],\n [-1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, -1, -2],\n [0, -3, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -1],\n [0, -1, 0],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -2, 3],\n [-2, 1, 2],\n [3, 1, 0]]\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, -1],\n [-1, 1, 1],\n [-1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -1, 0],\n [-1, 3, -2],\n [0, -2, 2]]\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, 0],\n [2, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 1],\n [0, 3, -1],\n [-2, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[1, -2, 1],\n [0, 1, 2],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -3],\n [-2, -1, -1],\n [-3, -3, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\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": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0],\n [-2, 3, 0],\n [0, 0, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 2],\n [-3, 1, 3],\n [-3, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 3],\n [2, 1, 2],\n [-3, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "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, 1],\n [0, 0, -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^2 and find the value at position (3, 2) of the result:\nA =\n[[0, 0, -3],\n [-1, 3, -1],\n [2, 1, -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^2 where A =\n[[2, 2, -1],\n [0, 3, 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": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, -3],\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": "-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, -1, -1],\n [0, 1, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, 1],\n [2, 0, 1],\n [1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, -1],\n [2, 2, 1],\n [3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -2, -1],\n [0, 1, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -3, 3],\n [0, 2, -2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[3, -3, 2],\n [1, 0, 3],\n [-2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, -3],\n [0, 2, 3],\n [0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, -1, -2],\n [-2, 0, 1],\n [1, 0, -3]]\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 2th power of the matrix:\n[[-1, 2, 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 3, 2],\n [3, 1, 1],\n [-1, -2, 3]]?\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 (1, 3) of the matrix A^3 where A is:\n[[3, 0, -3],\n [0, -3, 0],\n [0, 0, 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[[3, 0, -1],\n [3, 0, -2],\n [-2, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, -2, 0],\n [0, 0, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[0, 3, 1],\n [0, -3, -1],\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^2 where A =\n[[0, 3, 2],\n [0, -3, -3],\n [0, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -3],\n [0, -3, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -2, -1],\n [0, -1, 1],\n [0, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [0, 1, 2],\n [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": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 0],\n [2, 2, 0],\n [0, 1, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -1, 0],\n [-1, 2, 0],\n [0, 0, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -2],\n [2, 0, 1],\n [-3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, 1, 1],\n [-1, -1, -2],\n [2, -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^3 where A is:\n[[-1, 0, 1],\n [0, -3, 0],\n [1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, -2],\n [-2, -2, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 1],\n [0, -1, -3],\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": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[-2, 2, 3],\n [2, 2, 0],\n [3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, 0],\n [2, -3, 0],\n [0, 0, 3]]\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[[0, 1, 2],\n [0, 0, 2],\n [0, 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^2 where A =\n[[2, 2, -2],\n [2, 3, 1],\n [-2, 1, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -3],\n [-2, 2, 0],\n [-3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, 0],\n [-1, -3, -1],\n [0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [0, 2, 0],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 2, 3],\n [0, -2, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, -2, -2],\n [0, 2, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, -3],\n [0, 0, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 0, 1],\n [0, -1, 0],\n [1, 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^2 where A is:\n[[-1, -1, 0],\n [-1, 0, 0],\n [0, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[-2, 2, -1],\n [2, -2, 0],\n [-1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[0, -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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 0, 2],\n [0, 2, -1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 0],\n [2, -2, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 1],\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 2],\n [1, -1, -2],\n [2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, 2, 3],\n [0, 3, 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^3 where A =\n[[-2, 1, -1],\n [2, -1, 1],\n [0, -3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, -1],\n [-3, -2, 0],\n [-1, 0, 2]]\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 absolute values of all entries of the result:\nA =\n[[0, 1, -1],\n [-2, 3, 3],\n [-2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, -3],\n [-2, 2, 0],\n [-1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "420", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, -2],\n [2, 1, -2],\n [-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^2 and find the sum of all entries of the result:\nA =\n[[2, 3, -1],\n [3, 0, -2],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 0],\n [2, -2, 2],\n [-2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, -2],\n [1, -3, 0],\n [3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 0],\n [0, 0, -2],\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": "7", "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, 1],\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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -3, 0],\n [0, -2, -1],\n [-1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 1],\n [2, 1, -2],\n [-3, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, -2],\n [0, 2, 1],\n [-2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -3],\n [0, 2, 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": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 2],\n [0, 2, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 3, -2],\n [-1, -1, 3],\n [1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "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, 1],\n [0, 0, 2],\n [1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 3, 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": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[1, 0, 2],\n [0, -2, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -1, 3],\n [-1, -3, 0],\n [3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [0, -3, 0],\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": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 3],\n [2, -2, 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": "105", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 1],\n [0, 3, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 0],\n [0, 3, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 3],\n [0, -1, -2],\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": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 2, -3],\n [3, -3, 2],\n [-1, -2, 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[[-3, 0, -1],\n [-2, 0, 0],\n [3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[1, -3, 0],\n [-3, -3, 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^2 where A =\n[[0, 0, -2],\n [0, -1, -1],\n [-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": "33", "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, 2],\n [0, -2, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -1, 3],\n [0, 3, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-2, 2, 3],\n [3, -1, -2],\n [3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 1],\n [-2, -3, -3],\n [3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 1],\n [0, -3, 0],\n [0, 0, 2]], 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^3 where A =\n[[-1, 2, 2],\n [0, -1, -1],\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": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, -2],\n [0, -2, 1],\n [0, 0, 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 2th power of the matrix:\n[[3, -2, 0],\n [-2, 0, -1],\n [0, -1, 1]]\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 3th power of the matrix:\n[[1, -3, 1],\n [-2, -2, -1],\n [1, 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[[-2, 1, 1],\n [0, -1, 2],\n [0, 0, -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 2th power of the matrix:\n[[-1, 2, -2],\n [2, 3, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[2, -1, 2],\n [0, 3, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -2],\n [-1, -3, 0],\n [3, 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": "For the matrix power A^3 where A =\n[[-1, 0, 3],\n [2, -2, -3],\n [1, 2, 1]], 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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 1],\n [0, 0, -3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, -2],\n [-1, 0, -2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, -2],\n [-2, 0, 2],\n [-2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, -2],\n [0, 2, -2],\n [3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "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, 0],\n [3, 2, -3],\n [-1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, -2],\n [0, -3, 1],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 3],\n [1, 0, -1],\n [2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -1, -2],\n [0, 1, -2],\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 sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 1, 2],\n [3, -2, 2],\n [2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 3],\n [0, -2, 3],\n [0, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 3, 3],\n [0, 3, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "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, 1, -3],\n [-3, 3, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, 0],\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": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 3],\n [-1, -1, 0],\n [3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, -1],\n [0, 2, -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": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 0],\n [0, 1, 0],\n [0, 0, 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^2 where A =\n[[2, 0, 0],\n [0, -3, -1],\n [0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[0, 3, 2],\n [0, -1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, 2],\n [-1, -3, -1],\n [2, -1, -3]]\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[[0, 1, 3],\n [-2, 3, 0],\n [-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": "128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 2, -3],\n [0, 1, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -1],\n [-3, 0, 3],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, -3],\n [0, -2, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -3],\n [0, -3, -3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 3],\n [0, -2, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\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": "-14", "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, 3, -1],\n [2, -1, 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 all entries of the result:\nA =\n[[-1, -3, 3],\n [0, -2, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, 1, 0],\n [1, 0, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, 0],\n [0, 1, 2],\n [0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, -1],\n [1, 1, 3],\n [1, -2, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -3],\n [-1, -2, -3],\n [2, 1, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 3],\n [0, 3, 3],\n [2, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "403", "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, 2, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 0],\n [-2, -2, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-3, 2, 0],\n [2, 3, -1],\n [0, -1, -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^3 where A =\n[[2, 0, -1],\n [0, 0, 0],\n [-1, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[0, 0, 1],\n [0, -1, 2],\n [1, 2, -2]]\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[[-2, 1, 1],\n [0, 3, 2],\n [0, 0, -2]]?\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 2th power of the matrix:\n[[1, 1, -1],\n [1, 2, 1],\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^3 where A =\n[[-3, 0, 2],\n [-3, -2, -1],\n [2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, -2],\n [-2, -3, 0],\n [-2, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[1, 3, 1],\n [3, -3, 1],\n [1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -2],\n [0, -1, 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": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -1],\n [0, -3, -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": "-48", "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, -1],\n [0, 0, 3],\n [-1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 3],\n [0, 3, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -1],\n [2, -1, 2],\n [-1, -1, 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -3, -2],\n [3, 0, -1],\n [-3, 2, -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 2th power of the matrix:\n[[-1, 1, 0],\n [0, -3, 3],\n [0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0],\n [-1, 3, -2],\n [-1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -1],\n [0, -3, 0],\n [-1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, -2],\n [2, 1, -3],\n [-2, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 3, -2],\n [3, -1, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -1],\n [0, -1, 1],\n [-1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) 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": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, -2, -3],\n [-2, -3, 2],\n [-3, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 2, 3],\n [0, -1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[2, -2, 3],\n [1, -1, -2],\n [2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, 2],\n [0, 2, 1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 3],\n [0, -3, -2],\n [-2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -3, 0],\n [0, 2, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 3],\n [0, -3, 1],\n [0, 0, -3]], 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": "For the matrix power A^3 where A =\n[[3, 0, 1],\n [0, 0, 1],\n [1, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 2],\n [0, 1, -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": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 2],\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": "71", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 3, -3],\n [0, 3, -1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 0],\n [-3, 2, 3],\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": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -1, 3],\n [3, 1, 0],\n [2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, 0, 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": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, -1],\n [0, -3, -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": "5", "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, -2],\n [0, 2, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 0],\n [-3, 0, 0],\n [-3, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 3, -3],\n [0, 3, -1],\n [-3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, -2],\n [-3, 1, 2],\n [1, 2, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 2],\n [0, -3, 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": "81", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 1],\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": "For the matrix power A^2 where A =\n[[2, 2, -1],\n [2, -1, 0],\n [-1, 0, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 2],\n [3, -2, 3],\n [-3, -3, -3]], determine the value at position (1, 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 3th power of the matrix:\n[[2, 1, -3],\n [1, -2, -1],\n [0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 1, 2],\n [0, 2, -1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -1],\n [0, 1, -1],\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": "21", "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, -3],\n [0, 1, 0],\n [3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, -1, -2],\n [-1, 1, 0],\n [-2, 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 absolute values of all entries of the 2th power of the matrix:\n[[-2, -2, 2],\n [-2, -1, 2],\n [2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -3, -3],\n [-1, 1, -2],\n [-3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 0],\n [0, 3, 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": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 1],\n [-2, 3, -2],\n [2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "529", "dataset": "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 [3, -3, -2],\n [1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 1],\n [1, 3, -2],\n [0, -1, -2]], determine the value at position (1, 1).\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[[0, 1, 2],\n [1, -2, -2],\n [2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 3, -1],\n [1, 0, 1],\n [1, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-3, 2, -2],\n [2, -1, 3],\n [-3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -1, -2],\n [-2, 0, -1],\n [2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[0, 3, -2],\n [2, -2, 2],\n [-3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2],\n [0, -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": "For the matrix power A^2 where A =\n[[-3, 1, 0],\n [1, 3, 0],\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": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, 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": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[2, 0, 1],\n [0, -1, 1],\n [1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, 1, 1],\n [1, -1, 0],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, -1],\n [-1, -1, 1],\n [-1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -1],\n [0, 1, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 0],\n [-1, 1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 0, 0],\n [0, -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": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, 0, 2],\n [0, 2, -2]], 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 value at position (3, 1) of the matrix A^2 where A is:\n[[0, -1, 0],\n [-1, -3, 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 sum of all entries of the matrix A^3 where A is:\n[[0, 2, 0],\n [2, -1, -1],\n [0, -1, -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^3 where A =\n[[-1, 0, 0],\n [0, 3, 0],\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": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, 0, 2],\n [0, -3, 1],\n [2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 1],\n [0, 2, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 0],\n [0, 0, 2],\n [0, 2, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 3],\n [0, -2, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 1, 3],\n [0, 3, -3],\n [0, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -2, -2],\n [-1, 1, 2],\n [-1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[0, 2, 1],\n [-2, 1, -2],\n [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 value at position (1, 1) of the result:\nA =\n[[-3, 0, 2],\n [0, 0, 3],\n [0, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[0, -1, -1],\n [0, 0, 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^3 and find the value at position (3, 2) of the result:\nA =\n[[3, -3, 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": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[1, 0, 0],\n [0, -2, 1],\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^3 and find the value at position (2, 2) of the result:\nA =\n[[3, -1, -1],\n [-1, 2, 1],\n [-1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 2],\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": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -2],\n [-2, 2, -2],\n [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": "213", "dataset": "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],\n [-1, -2, 2],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, -2],\n [-3, -3, 3],\n [-1, 3, 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^2 where A is:\n[[3, 1, -2],\n [-2, -3, 3],\n [0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-1, -3, 1],\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": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[2, 0, 0],\n [0, 1, -1],\n [0, -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, 1) of the 2th 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": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, -2, 0],\n [-2, -1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -2, -1],\n [0, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -1, 1],\n [0, -3, 2],\n [-3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -3],\n [-2, -1, -2],\n [0, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-482", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 2],\n [0, -3, 1],\n [-2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 2],\n [2, -1, 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": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 2],\n [0, 0, -1],\n [2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, 3],\n [2, 2, -1],\n [1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[3, 1, 0],\n [-3, 1, -1],\n [0, -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^2 where A =\n[[-2, -2, -1],\n [0, 3, 1],\n [2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -1, 3],\n [0, 0, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 3],\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": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, -2],\n [0, 3, 1],\n [0, 0, 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^2 where A =\n[[-1, -2, 3],\n [-2, 2, 1],\n [3, 1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 0],\n [-1, 2, -1],\n [0, -1, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 3],\n [0, -1, -2],\n [1, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -3],\n [0, -3, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-1, -3, 1],\n [-3, -3, -1],\n [1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 0],\n [0, -2, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2],\n [0, 3, -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": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -3, 1],\n [1, 1, -2],\n [2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 0],\n [0, -3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 3],\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": "6", "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, 0],\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": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[3, 0, -2],\n [0, 3, 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 sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -2, 2],\n [-3, 2, -3],\n [2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, 3],\n [0, 3, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-3, -1, 2],\n [-1, 3, 2],\n [2, 2, 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, -3, 3],\n [-2, -3, 0],\n [1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "322", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, -2, 3],\n [0, 0, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\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": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-1, -2, 1],\n [0, 0, 3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, -3, -3],\n [0, -2, -3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "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, 0, -1],\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^3 where A =\n[[0, 2, -2],\n [-1, -3, 1],\n [0, -1, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 3, -3],\n [0, 1, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, -1],\n [0, 0, -2],\n [3, 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 2th power of the matrix:\n[[-1, 0, 1],\n [0, -2, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, -3],\n [0, 2, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[3, 0, 1],\n [0, 1, -1],\n [1, -1, -2]]\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[[0, -1, -1],\n [1, -3, 3],\n [-3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 3],\n [0, 3, 3],\n [-2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -1],\n [0, -1, 2],\n [-1, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[1, 3, 2],\n [-1, -1, -2],\n [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 sum of all entries of the matrix A^3 where A is:\n[[2, -3, 0],\n [-2, 3, 3],\n [-1, 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 all entries of the result:\nA =\n[[-1, 2, 0],\n [0, 0, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[3, 2, 0],\n [0, -1, 0],\n [0, 0, -2]]?\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[[0, 2, 2],\n [0, -2, 0],\n [0, 0, 1]]?\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[[2, 2, -2],\n [0, -3, -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": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, 3, -2],\n [0, 0, 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^3 and find the value at position (2, 3) of the result:\nA =\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": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-1, -1, 0],\n [0, -1, -3],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[3, 3, -3],\n [0, 1, -3],\n [-3, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -3, 2],\n [0, -1, 3],\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^2 and find the value at position (2, 2) of the result:\nA =\n[[0, 0, 1],\n [3, -3, 1],\n [1, 1, 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 value at position (3, 1) of the result:\nA =\n[[3, 1, 1],\n [0, 2, 3],\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 (2, 2) of the matrix A^2 where A is:\n[[-1, 2, 0],\n [3, 2, -2],\n [2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 0],\n [-1, -2, 1],\n [0, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[2, 2, -2],\n [1, 1, -1],\n [2, 2, 0]]?\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 absolute values of all entries of the result:\nA =\n[[1, 3, 2],\n [3, -1, 1],\n [2, 1, -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[[-2, 1, -2],\n [1, -3, 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": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-2, 1, 0],\n [0, 0, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-2, 0, -2],\n [0, -3, 1],\n [-2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[0, 1, 0],\n [1, -1, 2],\n [-1, -1, 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 (2, 2) of the 2th power of the matrix:\n[[1, 1, -2],\n [0, 0, -2],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 2],\n [-1, 3, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -2],\n [-2, 3, -3],\n [-1, 3, 1]], determine the value at position (3, 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^2 where A =\n[[3, -3, 2],\n [0, 0, 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": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[2, 1, 3],\n [0, 2, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, -3],\n [0, -1, 3],\n [0, 0, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -1],\n [0, -2, 0],\n [-1, 0, 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 (2, 2) of the 3th power of the matrix:\n[[-1, -2, -2],\n [0, -2, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, -3],\n [3, -3, 0],\n [1, -3, 0]], 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 sum of all entries of the 3th power of the matrix:\n[[2, 0, -1],\n [0, -2, 1],\n [-1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 2],\n [1, 2, 2],\n [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": "85", "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, -3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -2],\n [-3, 1, -3],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-1, 1, 1],\n [1, 2, -2],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -1, 2],\n [-3, -2, -2],\n [-2, 3, 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[[0, 0, 1],\n [0, -1, -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": "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, 3, 3],\n [0, 3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -1],\n [2, 0, 0],\n [0, -3, -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[[0, 0, 2],\n [0, 2, 2],\n [2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-3, 0, 2],\n [0, -1, -2],\n [2, -2, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, -2],\n [1, -2, 3],\n [-3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 3],\n [0, 3, 2],\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": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 3],\n [-2, 0, 2],\n [3, 2, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, -2, 1],\n [0, -2, 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^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 3],\n [0, 3, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, -2],\n [3, -3, -2],\n [2, 0, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, -1],\n [1, 2, 0],\n [-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[[2, -1, -3],\n [0, 3, -3],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 2],\n [-2, 3, 2],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -1],\n [0, -3, 0],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, -2, 0],\n [-2, 0, -1],\n [0, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-3, -2, -2],\n [-2, -2, 2],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[1, -3, -1],\n [0, 0, 2],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, -1],\n [-2, -1, 2],\n [0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[3, -2, -2],\n [0, -2, 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, 1) 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": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-3, 0, 0],\n [0, 0, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, 0],\n [0, 0, -1],\n [2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -1],\n [0, -2, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -3, 0],\n [-2, 0, 3],\n [3, -1, -2]]\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 absolute values of all entries of the result:\nA =\n[[-3, -2, -2],\n [-2, -2, 1],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-3, 0, 0],\n [2, 0, 2],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -1],\n [0, 3, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, 0],\n [2, 3, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 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": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -1],\n [0, -3, 0],\n [-1, 0, -1]], 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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, -2],\n [0, 2, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 0],\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": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-3, -1, -2],\n [-1, 2, -1],\n [-2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 1],\n [-1, -2, 1],\n [1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 3, -3],\n [0, 3, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 1],\n [3, -2, -3],\n [3, -1, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-3, 0, -3],\n [3, -1, -2],\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^2 where A =\n[[1, 0, -2],\n [0, 2, -2],\n [0, 0, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -3, 0],\n [2, -2, -3],\n [-3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 2],\n [0, -1, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 3],\n [0, 0, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-1, 1, 1],\n [1, -3, -2],\n [1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[-2, 0, 1],\n [0, 1, 1],\n [1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 0],\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": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 3],\n [-1, 3, -2],\n [3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357", "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 [3, 0, 2],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -1, 0],\n [0, -2, 0],\n [0, 0, 0]]\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[[0, -1, -1],\n [-1, 1, 0],\n [-3, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -3, 1],\n [-1, -2, 2],\n [-3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, -2, 3],\n [-1, -3, -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 value at position (3, 2) of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, 3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, -1],\n [-1, 1, 1],\n [-2, 1, 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, 2, 1],\n [2, -2, 2],\n [1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, -2, 1],\n [0, -3, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 1],\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": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, -2, 0],\n [-2, 3, 2],\n [0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 2],\n [1, 1, 1],\n [2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-2, -1, -3],\n [0, 0, 2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, -2],\n [0, 0, -3],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-2, -2, 1],\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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 1, -3],\n [-2, 1, 2],\n [-3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -1, -1],\n [0, 2, -2],\n [-2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, -1],\n [-3, 3, 3],\n [-1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 1],\n [3, 3, 2],\n [-2, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0],\n [0, 3, -2],\n [0, -2, 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^2 where A =\n[[-2, -1, -2],\n [0, 0, -3],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 2],\n [3, -1, 1],\n [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": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 2],\n [-2, 3, -2],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "898", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 1, 0],\n [0, 0, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -2],\n [1, 3, -2],\n [-2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "599", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, -2],\n [-2, -3, 1],\n [-2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, 2],\n [0, -2, 3],\n [2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, 0, -2],\n [0, 0, 0],\n [-2, 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 2th power of the matrix:\n[[-3, 1, -3],\n [0, -1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, -1],\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": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, 3],\n [3, 3, -1],\n [3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "514", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, 2, 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^3 where A is:\n[[0, -2, 1],\n [0, -1, -2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-2, 2, 0],\n [0, -2, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 2],\n [0, -2, 0],\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": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -2],\n [0, 0, 3],\n [0, 0, -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^3 and find the value at position (2, 1) of the result:\nA =\n[[-2, -3, -2],\n [-2, 2, -3],\n [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 sum of all entries of the matrix A^2 where A is:\n[[3, 0, -2],\n [0, 1, 0],\n [-2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, 0],\n [0, -1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 1],\n [-2, -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": "-59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[3, 0, -2],\n [0, 2, 0],\n [-2, 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^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -2],\n [-2, -2, -2],\n [-2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-240", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-1, -1, -3],\n [-1, 0, 0],\n [2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, -1, 2],\n [0, 0, 3],\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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, 2],\n [0, -3, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 3],\n [0, -2, 1],\n [2, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 3, 3],\n [0, 0, 2],\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^2 where A is:\n[[-1, -1, 2],\n [0, 0, 2],\n [0, 0, -2]]?\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[[1, 2, -2],\n [0, 0, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 2],\n [0, -2, 0],\n [0, 0, 0]]?\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 2th power of the matrix:\n[[3, 3, -1],\n [0, -2, 2],\n [0, 0, 2]]\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[[1, -1, 1],\n [0, 2, -3],\n [-3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, 2, 0],\n [2, 1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th 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": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -3, 2],\n [-3, -2, 0],\n [2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -2],\n [-1, -3, 0],\n [-1, -1, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 1],\n [1, 3, -2],\n [1, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[3, -1, 3],\n [0, 1, -2],\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 value at position (3, 1) of the matrix A^2 where A is:\n[[-2, 0, -2],\n [0, -1, -2],\n [-2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 0],\n [3, 3, -2],\n [1, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, -2],\n [0, 0, -1],\n [1, 3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 0],\n [2, 3, 0],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 1],\n [2, 0, 0],\n [-2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 1],\n [0, 0, 1],\n [1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, -2],\n [0, 3, 2],\n [0, 0, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0],\n [1, -1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, 0],\n [2, -1, -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": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-1, 1, 0],\n [-1, -3, 2],\n [1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0],\n [1, -1, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -1],\n [0, 0, 0],\n [-1, 0, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, 3],\n [-1, -1, 0],\n [3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 1],\n [-2, 1, 1],\n [0, 3, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 0],\n [-3, -2, -3],\n [0, -2, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, 1],\n [0, 3, -3],\n [0, 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^2 where A is:\n[[3, 1, 3],\n [0, 0, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 0, 0],\n [0, -3, 0],\n [0, 0, -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, -3, -2],\n [-2, -1, 3],\n [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": "177", "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, 3, -2],\n [0, 0, -3],\n [0, 0, 2]]\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[[2, -2, 0],\n [-2, -2, 1],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, 0],\n [3, -2, 2],\n [0, 0, -2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -2, -2],\n [0, 3, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 1],\n [0, 0, -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": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 0],\n [0, -1, 3],\n [0, 0, -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[[-2, 3, -1],\n [2, -2, 1],\n [2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -1],\n [-1, -2, -2],\n [-1, -2, -3]]\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 value at position (1, 1) of the result:\nA =\n[[1, 1, 3],\n [0, -2, 0],\n [0, 0, 3]]\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[[-2, -2, 3],\n [1, -2, 2],\n [2, -3, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 1],\n [0, -3, 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": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, -2],\n [3, 0, -3],\n [-3, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, -3],\n [-1, -1, -2],\n [-1, -1, -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": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[2, 1, 0],\n [2, -3, 2],\n [-1, -2, -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^2 where A =\n[[0, 0, 0],\n [-1, -2, -1],\n [-2, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "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 [1, -1, -1],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, 2],\n [0, 1, -1],\n [-2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-1, -2, -1],\n [0, 1, -1],\n [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^2 and find the value at position (2, 1) of the result:\nA =\n[[-2, 0, 0],\n [0, 0, -3],\n [-1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, -2],\n [0, 0, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, 0, 0],\n [0, -2, -2],\n [0, -2, 0]]\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, 1) of the matrix A^3 where A is:\n[[0, 0, 2],\n [0, 2, 0],\n [2, 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^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 2],\n [0, 3, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -2],\n [0, -2, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[2, 0, 3],\n [-1, -3, -3],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -3, -2],\n [0, -3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 0],\n [0, 2, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, -2],\n [0, 1, -3],\n [0, 0, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 1, 2],\n [0, -1, -3],\n [0, 0, -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 absolute values of all entries 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": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, 1],\n [0, 2, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0],\n [2, 1, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, -2],\n [0, 1, 0],\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^2 and find the value at position (2, 2) of the result:\nA =\n[[1, 1, 0],\n [1, -3, 0],\n [0, 0, 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 (2, 1) of the 2th power of the matrix:\n[[0, 2, -2],\n [0, 2, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, -2],\n [1, 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": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, -1],\n [0, -2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 2],\n [0, 1, 1],\n [2, 1, 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^2 where A =\n[[0, -2, 2],\n [0, 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": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 1, -3],\n [0, -3, -1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 1],\n [0, 0, 2],\n [-3, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 3, -2],\n [0, 3, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, -2, 0],\n [-2, 1, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -2],\n [-2, -3, 1],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, -2],\n [0, -1, -1],\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": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, -3],\n [0, 3, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0],\n [0, 0, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, 1, 0],\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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, -3],\n [0, 3, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, -2, -2],\n [-2, -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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 1, 3],\n [0, 2, 0],\n [0, 0, 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 3th power of the matrix:\n[[3, 1, 3],\n [0, 3, -2],\n [0, 0, 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^2 where A =\n[[-3, -1, 0],\n [-1, 3, 2],\n [0, 2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 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": "-33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 0],\n [0, 0, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-2, -2, 2],\n [0, 0, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, 2],\n [-3, 3, 3],\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": "87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -1, 1],\n [0, 3, -3],\n [0, 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 sum of all entries of the result:\nA =\n[[-3, 3, 2],\n [3, 1, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-3, 3, 3],\n [-3, 3, -1],\n [-1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -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": "135", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[0, -2, -3],\n [0, 0, 3],\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 all entries of the 3th power of the matrix:\n[[1, 3, -1],\n [-3, 1, 2],\n [3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[2, -2, 1],\n [-2, -2, 2],\n [1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 3, -3],\n [0, 1, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[3, -2, -2],\n [-2, -1, 0],\n [-2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 2, -3],\n [3, 1, 3],\n [0, -1, 0]]\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 (3, 2) of the matrix A^2 where A is:\n[[2, 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": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, -3],\n [1, 2, 0],\n [-3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[2, -1, 1],\n [-1, 3, 0],\n [1, 0, 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^2 and find the value at position (3, 2) of the result:\nA =\n[[0, 1, 3],\n [1, -1, 2],\n [-3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, -2, 1],\n [2, -3, -1],\n [3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 3, -1],\n [0, -3, 2],\n [0, 0, -2]]\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 (1, 1) of the matrix A^2 where A is:\n[[2, 0, -2],\n [0, -3, -2],\n [-2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -1],\n [0, -2, 0],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 1],\n [0, 2, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 1, -3],\n [0, 0, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 0],\n [0, 3, -1],\n [0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 1],\n [0, -3, 0],\n [0, 0, -2]], 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, -3],\n [-2, -3, 3],\n [3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -1, 0],\n [-1, 3, -1],\n [0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, 0],\n [-2, 2, -1],\n [0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [2, 3, 0],\n [-2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, 3],\n [0, -2, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, 3],\n [1, 3, -1],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -3, 0],\n [3, 1, 1],\n [-1, 2, 0]]\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[[0, -1, 0],\n [0, -2, -1],\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": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-2, -2, 0],\n [-2, 3, 0],\n [0, 0, -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[[-2, 1, 1],\n [0, 2, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, 1],\n [-2, 1, 0],\n [1, 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^3 where A is:\n[[-1, -2, -2],\n [-2, 3, -2],\n [-2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-258", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, -2],\n [0, 1, -2],\n [-2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -2],\n [0, -3, 3],\n [-1, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, -3],\n [-2, 2, -2],\n [-1, 1, 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": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -1, -2],\n [0, 0, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 2],\n [1, 3, 2],\n [2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 1, 3],\n [0, 2, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -2],\n [1, 2, -3],\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": "103", "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": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 3, 2],\n [0, -3, -1],\n [1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-1, -3, 2],\n [2, 2, -2],\n [1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, -1, -2],\n [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^2 and find the value at position (1, 3) of the result:\nA =\n[[-2, 0, 0],\n [0, 3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 1],\n [-2, 3, 0],\n [-3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 0, 2],\n [0, 3, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 2],\n [2, -2, 2],\n [2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 3],\n [3, 3, -2],\n [3, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -2],\n [2, -3, -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": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, -2, 0],\n [-2, 3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 0],\n [2, 1, 1],\n [0, 1, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 0, 2],\n [-2, -1, 0],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[0, 2, 0],\n [2, 2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -1, 0],\n [2, 2, -2],\n [3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-1, 1, -2],\n [0, -3, 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 sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -2, 0],\n [-2, 2, -2],\n [0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, -2],\n [2, 0, 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": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 0],\n [0, 3, -2],\n [0, -2, 1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -1],\n [-1, -3, 0],\n [-2, -2, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2],\n [0, 0, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, 0],\n [1, 1, 0],\n [-1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -3],\n [0, -1, 1],\n [-3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\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": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, 0, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-3, 2, 3],\n [0, 3, -3],\n [1, -1, -1]]?\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, -2, 0],\n [0, -1, 0],\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": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, 3, -2],\n [-2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 1],\n [2, -1, 3],\n [-3, 3, -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 (1, 2) of the matrix A^3 where A is:\n[[3, -2, 3],\n [0, 0, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2],\n [0, 3, 2],\n [2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -3, -3],\n [0, 1, 1],\n [3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, 0],\n [0, 3, 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 (3, 3) of the 2th power of the matrix:\n[[-2, 1, -2],\n [1, 2, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 3],\n [0, 2, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -3, -3],\n [0, 1, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 0],\n [2, -1, 3],\n [-3, 0, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -2, -1],\n [1, 1, 1],\n [-3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -3, -3],\n [0, 1, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-3, -2, 0],\n [0, -2, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 3],\n [0, 1, 2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, -1],\n [0, 0, 1],\n [0, 0, -2]], 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": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 2, -2],\n [0, -3, -3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1],\n [-2, 1, 1],\n [1, -3, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[0, 3, 2],\n [-2, 2, 1],\n [0, 2, 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^2 where A =\n[[-1, 0, 2],\n [0, -3, 0],\n [2, 0, 2]], determine the value at position (3, 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 all entries of the matrix A^2 where A is:\n[[0, 1, 3],\n [0, 1, 2],\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 all entries of the result:\nA =\n[[-1, 0, 0],\n [0, 0, 0],\n [0, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -2],\n [0, -1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 3, 0],\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": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[1, -2, 0],\n [-2, -1, -1],\n [0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 1],\n [3, 0, 0],\n [2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -2],\n [0, 3, -1],\n [-2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 1, 0],\n [-2, -2, 0],\n [-2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -2],\n [3, 1, -2],\n [-2, -2, 3]]\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 sum of absolute values of all entries of the result:\nA =\n[[0, 0, 1],\n [0, -3, 2],\n [1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "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 [1, 1, -2],\n [-3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 1],\n [3, -2, -1],\n [1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, -2],\n [3, 2, -1],\n [-3, -2, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -3],\n [0, -1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -3, 2],\n [2, 3, 0],\n [1, 2, 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[[-3, 0, -3],\n [0, 0, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -1, 2],\n [0, 0, 1],\n [0, 0, -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^2 and find the sum of all entries of the result:\nA =\n[[1, -1, -1],\n [-1, -3, -2],\n [-1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -1, 2],\n [-1, -2, -1],\n [2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, -1],\n [2, -2, 0],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 0],\n [-2, 2, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -3],\n [0, -3, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -3, 3],\n [0, -1, 3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[0, 2, -1],\n [2, 2, -2],\n [-1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -3, 3],\n [0, -1, -1],\n [0, 0, -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 (1, 2) of the result:\nA =\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": "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[[0, -1, -1],\n [2, 1, 2],\n [0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -3, 0],\n [0, 2, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, 1, 2],\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": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-2, 0, -2],\n [0, -1, 0],\n [-2, 0, 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^2 where A =\n[[-2, 2, 1],\n [2, -3, -2],\n [1, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "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, -1],\n [0, -2, 2],\n [-1, 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 (1, 2) of the 2th power of the matrix:\n[[1, -2, -3],\n [-1, -3, 3],\n [2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 0],\n [2, 3, 0],\n [0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, -2],\n [-2, -3, 2],\n [-2, 2, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -2],\n [-1, -2, -1],\n [-3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1],\n [0, 0, 2],\n [0, 0, 1]], 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^3 where A =\n[[2, 0, -2],\n [0, -2, -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": "268", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, 0],\n [0, -3, 3],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, -1, 3],\n [0, -1, -1],\n [0, 0, -2]]?\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[[3, 1, -1],\n [1, 1, 0],\n [-1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -1],\n [0, -3, -2],\n [3, -1, 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": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[2, 0, 0],\n [0, -2, 2],\n [0, 0, -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[[2, 2, 0],\n [0, -2, 2],\n [0, 0, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 0],\n [2, 1, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 3, -2],\n [3, -3, 0],\n [-2, 0, 1]]\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 2th power of the matrix:\n[[-1, -1, 2],\n [3, 0, 2],\n [-1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, -1],\n [1, -3, -2],\n [-1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -3],\n [0, 1, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[1, 3, 1],\n [2, -1, 0],\n [0, 3, 3]]?\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[[-1, -3, -2],\n [0, 2, -2],\n [0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [0, 3, 0],\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": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-3, 2, 2],\n [2, -2, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[2, -1, 0],\n [0, 2, -3],\n [0, 0, -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, -2, -3],\n [0, 3, 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": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -2, -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": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[3, -1, 1],\n [3, -2, 2],\n [1, -1, 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^3 where A is:\n[[2, 2, 0],\n [2, -1, 1],\n [0, 1, 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 sum of all entries of the result:\nA =\n[[0, 3, 3],\n [0, 2, -2],\n [0, 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 all entries of the matrix A^2 where A is:\n[[0, 3, 0],\n [0, 3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 0],\n [-1, 0, 2],\n [0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[0, -2, -1],\n [1, 2, 1],\n [2, -2, 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, 1, 2],\n [2, 1, -3],\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": "198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -3],\n [0, 2, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -1, 3],\n [3, -2, 0],\n [3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, 3, 0],\n [2, 1, 0],\n [2, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-1, 0, 0],\n [0, -1, 2],\n [0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, -3],\n [-1, -3, -1],\n [-3, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "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 [0, -1, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -1],\n [2, 1, 1],\n [-1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, -2],\n [0, 3, 1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 1, 2],\n [1, 2, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, 0],\n [1, -1, -2],\n [0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, 2, -1],\n [2, 2, 1],\n [-1, 1, -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^2 where A is:\n[[1, -2, 0],\n [-2, -1, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 1],\n [0, 3, -2],\n [1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "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 [0, -3, 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 3th power of the matrix:\n[[-2, 3, 0],\n [0, 2, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-1, -1, -2],\n [-1, -1, 2],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, 2],\n [2, -3, -1],\n [-1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 3],\n [0, -3, -2],\n [0, 0, 3]], 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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 2],\n [0, 3, -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[[0, 0, 3],\n [0, -3, 0],\n [0, 0, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, 0],\n [2, 0, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, 3],\n [1, 3, 2],\n [1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "329", "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, -3, 2],\n [2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, 0],\n [0, -1, 0],\n [-2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, -2],\n [1, 1, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[2, 1, -2],\n [1, 1, -2],\n [2, -1, 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[[-2, 2, -1],\n [2, 0, -3],\n [-1, -3, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[0, 2, 0],\n [-3, 3, -1],\n [-2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[2, 0, -2],\n [0, 3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 2, -1],\n [0, -2, -1],\n [2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 3],\n [-3, 2, -3],\n [-2, -2, 0]], 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[[0, -1, 2],\n [2, 3, 3],\n [1, -2, 3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-3, 2, 0],\n [2, 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 sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 2, -2],\n [0, -2, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, 3],\n [0, 2, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 0],\n [-3, 1, -2],\n [0, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-186", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, -3, 1],\n [3, 0, 3],\n [2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[2, 2, 1],\n [2, -3, -1],\n [1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, 0, 3],\n [0, 3, 2],\n [-2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 1, -2],\n [1, -3, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -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": "23", "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, 0],\n [1, -1, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -2],\n [-2, 2, 0],\n [-2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "203", "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, 0, 0],\n [0, 2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 2, -2],\n [2, 1, 2],\n [-2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -1],\n [-2, -2, 2],\n [1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 3],\n [0, -1, 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": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 0],\n [0, 1, 1],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, 0, -2],\n [-1, -1, -2],\n [-3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -3],\n [0, -2, 0],\n [-3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-3, 1, -2],\n [0, -3, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -3, -1],\n [0, -3, 2],\n [3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 1],\n [0, -2, -1],\n [0, 0, -1]], determine the value at position (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 (3, 2) of the matrix A^2 where A is:\n[[1, -3, 3],\n [-2, -1, -1],\n [2, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 2],\n [-3, 2, -1],\n [3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -2],\n [1, 3, -3],\n [-3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, 3],\n [0, -1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, -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": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[2, 1, 2],\n [1, 1, 0],\n [2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, -3],\n [0, -1, 1],\n [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 absolute values of all entries of the matrix A^2 where A is:\n[[-1, 2, 2],\n [-1, 1, -3],\n [-1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, -1],\n [0, 3, -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": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, 0, 0],\n [0, 3, 3],\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^2 and find the sum of all entries of the result:\nA =\n[[0, 0, 1],\n [0, -3, 2],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, -1],\n [0, 1, 3],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th 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": "48", "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, 1, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -2, -2],\n [0, -3, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 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": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-1, -1, 3],\n [0, 2, -2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -2],\n [2, 3, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -2],\n [0, -2, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 1, 1],\n [-1, -2, -2],\n [-3, 3, 0]]?\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[[-1, -2, 0],\n [-2, -3, 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": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, -2],\n [0, -3, 3],\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, 3) of the matrix A^2 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": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -2],\n [1, 1, -1],\n [1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 3],\n [0, -1, 3],\n [0, 0, -2]]\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 3th power of the matrix:\n[[-2, 2, 0],\n [2, -1, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -3, 3],\n [-2, -3, 2],\n [-1, 1, 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^3 where A =\n[[3, -1, 1],\n [0, 2, 0],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -2],\n [0, -1, -1],\n [2, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, -2],\n [-1, 1, 0],\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": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -1, 0],\n [-2, 3, 0],\n [-1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, 0, 2],\n [0, -3, 0],\n [2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 0],\n [0, 0, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[3, -1, 0],\n [-1, 2, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 3],\n [0, 1, 3],\n [0, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 2],\n [0, -2, -1],\n [0, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-3, 2, 2],\n [2, 2, 1],\n [2, 1, 3]]\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^2 where A is:\n[[-1, -2, -2],\n [2, 2, -3],\n [-3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, -2],\n [-3, 2, -1],\n [1, 3, 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^2 and find the sum of all entries of the result:\nA =\n[[-2, 3, 2],\n [-3, 3, 3],\n [-3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 1],\n [0, -2, 2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[2, 1, 0],\n [-3, 1, -2],\n [-3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0],\n [0, -3, 1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, -3],\n [3, -2, -3],\n [-2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[1, 0, 0],\n [0, 3, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 3, -3],\n [-2, -1, -3],\n [-1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 2, 1],\n [2, 1, 2],\n [1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 2, 1],\n [0, -2, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, -2],\n [-1, 0, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, -2],\n [-2, -1, 1],\n [3, -2, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -1],\n [2, -2, -1],\n [0, -3, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, 1, 0],\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": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, -1],\n [-3, 1, -2],\n [-1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 0],\n [3, 1, 0],\n [1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2],\n [0, 1, 0],\n [-2, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -1],\n [0, -3, -1],\n [-1, -1, 1]]\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 2th power of the matrix:\n[[3, -2, 1],\n [-1, 0, 3],\n [-1, 0, 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[[-3, 0, 3],\n [-3, -2, -3],\n [2, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "288", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0],\n [-2, 1, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 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": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, -2, -1],\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": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 0, 2],\n [0, 2, 1],\n [2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[3, -2, 0],\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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2],\n [0, 3, 0],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, -1, 2],\n [0, -1, -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^2 where A is:\n[[0, 0, 0],\n [0, 3, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, -3, -1],\n [0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 0],\n [-2, -3, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "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, 2],\n [0, -3, 3],\n [0, 0, 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 absolute values of all entries of the result:\nA =\n[[-2, -3, 1],\n [0, 3, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 3],\n [0, -2, 0],\n [3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, -2],\n [0, 0, -1],\n [2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -2, 0],\n [0, 3, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 0, 0],\n [0, 1, 0],\n [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 absolute values of all entries of the matrix A^2 where A is:\n[[0, -3, 2],\n [0, 1, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, -2],\n [0, 1, 0],\n [0, 0, 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^3 and find the value at position (1, 1) of the result:\nA =\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": "8", "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, -2, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 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": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, -2],\n [0, 1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 3],\n [1, 1, -2],\n [-3, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-2, -3, -3],\n [0, -3, -3],\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, 1) of the 3th power of the matrix:\n[[1, 1, -2],\n [0, 3, 3],\n [0, 0, 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^3 and find the sum 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": "-158", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 3, -3],\n [0, 3, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 1],\n [-3, -2, -2],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -3, -1],\n [0, 2, -1],\n [1, 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, 0, 3],\n [3, -1, -1],\n [2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "381", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -3],\n [0, 0, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 3, 1],\n [0, 2, 2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 1],\n [-3, 2, 3],\n [3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "289", "dataset": "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 [2, 2, -2],\n [2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "363", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[2, 2, -3],\n [-2, 3, -2],\n [-1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -2],\n [2, 2, 2],\n [-2, 2, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 2],\n [2, 3, 2],\n [3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "538", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, 0],\n [-3, 0, -1],\n [3, 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^2 where A =\n[[2, 0, -1],\n [0, 0, 0],\n [-1, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2],\n [0, 1, 0],\n [2, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "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 [0, 3, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[2, 3, 0],\n [3, -1, -2],\n [0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 0],\n [0, 0, -1],\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": "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[[-1, 3, -2],\n [3, 1, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 3, -3],\n [0, -1, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, 1, 1],\n [-3, -1, -1],\n [-2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 1],\n [0, -2, -3],\n [0, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[3, 0, -2],\n [0, 3, -3],\n [-2, -3, 2]]\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 2th power of the matrix:\n[[1, -3, 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 all entries of the matrix A^2 where A is:\n[[1, 0, -2],\n [0, -2, 1],\n [-2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -3, -2],\n [-2, -3, -1],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-345", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 3, 3],\n [-1, 2, 3],\n [-1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 0],\n [-2, 3, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\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": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 2],\n [-2, 0, 2],\n [2, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[3, -1, 3],\n [-2, -1, -2],\n [-2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, -2, 0],\n [-2, -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": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[3, -2, 3],\n [-3, -2, 2],\n [-3, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-1, -2, 3],\n [0, 2, 0],\n [0, 0, -2]]\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 (2, 3) of the result:\nA =\n[[-1, 2, -2],\n [2, -3, -2],\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 2th power of the matrix:\n[[-2, 2, 0],\n [2, 1, -2],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 0, 1],\n [0, 0, 0],\n [1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -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": "44", "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, 1, -2],\n [1, 1, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 3],\n [1, -3, 2],\n [-1, 0, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, -1],\n [1, 0, 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": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 1],\n [1, 0, 0],\n [1, 0, -3]], determine the value at position (3, 2).\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[[3, 2, 2],\n [2, 1, 3],\n [2, 3, 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^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 1],\n [-2, 2, 1],\n [-2, 3, 0]]\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 2th power of the matrix:\n[[-3, 0, 2],\n [1, 1, -2],\n [1, -3, 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[[-1, -2, 3],\n [0, -2, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 2, 3],\n [-1, 3, -1],\n [-2, -1, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 2],\n [0, -1, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -1, 0],\n [-1, 3, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 0],\n [0, 2, 0],\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^2 and find the value at position (3, 1) of the result:\nA =\n[[-1, 2, -1],\n [0, 1, 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 3th power of the matrix:\n[[-2, -1, -3],\n [-2, -3, 0],\n [-1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -1],\n [2, -1, 0],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, 3],\n [-3, 0, -3],\n [2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -1],\n [0, 2, 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": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -1, 0],\n [3, 1, 2],\n [1, 0, -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[[2, 3, -2],\n [3, 3, 1],\n [-2, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[1, 3, -3],\n [3, -2, 3],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[2, -1, -3],\n [0, 1, -3],\n [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 value at position (3, 2) of the result:\nA =\n[[3, 1, 2],\n [1, 0, -2],\n [2, -2, 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[[1, -3, -3],\n [3, 3, -2],\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": "71", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -3],\n [0, 0, 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": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 2, 2],\n [0, 3, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 3],\n [1, -1, 1],\n [-3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, 1],\n [1, 2, 2],\n [-2, -1, 2]], 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^3 where A =\n[[1, 1, 0],\n [1, -3, -2],\n [0, -2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, 3, 1],\n [1, 2, 1],\n [1, -1, -3]]?\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 (1, 2) of the matrix A^2 where A is:\n[[2, -1, 2],\n [0, 1, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 0],\n [0, -3, -2],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 0],\n [0, 1, 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": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 1],\n [0, 2, 2],\n [1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-2, -2, 1],\n [0, 3, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 2],\n [0, 3, 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": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, 0, -3],\n [0, 1, -1],\n [-3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 1],\n [0, 0, 1],\n [0, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, -2],\n [0, 3, 1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -2, 0],\n [-2, 1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 0],\n [2, 1, -2],\n [0, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\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^3 where A is:\n[[1, -2, -1],\n [3, -2, -1],\n [1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, 3, 3],\n [-3, -1, -1],\n [-1, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 0],\n [-1, -3, -1],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 2],\n [2, 1, 3],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -1],\n [0, -3, 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": "57", "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, -2, 1],\n [0, -3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, -2],\n [0, 1, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -3],\n [0, 2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -2],\n [3, -2, -3],\n [1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 2],\n [2, 3, -2],\n [-3, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "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, 3],\n [-3, -2, 0],\n [3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[3, 2, 0],\n [2, 3, 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^2 where A =\n[[0, 0, -3],\n [0, -1, 0],\n [-3, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[1, 0, -1],\n [0, -1, 2],\n [-1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -2],\n [2, -3, 0],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, -2, 2],\n [-2, 2, 2],\n [2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -3, -2],\n [0, 0, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -1, 1],\n [-1, 2, 0],\n [1, 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 2th power of the matrix:\n[[3, 0, 3],\n [0, 1, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, 0, 1],\n [-2, 2, 1],\n [-2, -1, -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^2 where A =\n[[3, 0, -2],\n [0, 0, 0],\n [-2, 0, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 0],\n [-2, -1, 0],\n [0, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0],\n [0, -3, -1],\n [0, -1, 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": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 0, 2],\n [-2, 0, 0],\n [-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[[3, 3, -2],\n [0, 0, 1],\n [0, 0, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, 1, -3],\n [-3, 1, 1],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 2, -3],\n [0, -2, -1],\n [0, 0, 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 2th power of the matrix:\n[[-2, -2, -2],\n [2, 2, 3],\n [2, -3, -1]]\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[[2, -3, -1],\n [-3, -2, 0],\n [-1, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, -1],\n [0, 1, 2],\n [0, 0, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -1, 3],\n [2, -3, 3],\n [-1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, -3],\n [0, 0, 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": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[1, 2, 3],\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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 0, -1],\n [0, 1, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, 0],\n [0, 3, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 3, -2],\n [3, 3, -1],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -3, 0],\n [-3, -3, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\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": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, -2, 0],\n [0, -3, -2],\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^3 where A =\n[[3, 0, -1],\n [-1, 2, -3],\n [-2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 0],\n [0, -1, 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": "3", "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, 1],\n [2, 1, 0],\n [-3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-2, 3, -2],\n [1, 2, 2],\n [-1, 1, 0]]\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 (1, 2) of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, 3, 0],\n [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, 0, 3],\n [0, 2, -2],\n [3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 1],\n [-3, -3, 2],\n [-2, -1, 3]], 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^2 where A is:\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": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, 1],\n [0, 0, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, 1],\n [-2, -1, -1],\n [1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, 2],\n [0, 2, -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": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[3, 0, 2],\n [0, 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": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -2],\n [0, -2, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0],\n [-2, 1, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[3, 0, 0],\n [0, 3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, -3],\n [0, 1, -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": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 3],\n [0, -2, -2],\n [0, 0, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -2, 0],\n [-2, 3, -1],\n [0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, -1],\n [2, -2, -2],\n [2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, -1],\n [1, -2, -2],\n [-1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[3, -3, -2],\n [3, 0, -3],\n [-3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -2, 1],\n [0, -2, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 1],\n [-1, -2, 3],\n [2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -1],\n [0, -2, -2],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 0],\n [0, 3, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, 0],\n [2, -3, 1],\n [0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 3],\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": "For the matrix power A^2 where A =\n[[-2, 1, 0],\n [1, 2, 0],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 2],\n [0, 0, 0],\n [2, 0, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 2],\n [-1, 0, -3],\n [-2, 3, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 2],\n [-3, -3, -1],\n [3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, -2],\n [0, 2, 2],\n [0, 0, -2]], 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 sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 0, 2],\n [0, 2, 0],\n [2, 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 2th power of the matrix:\n[[0, 0, 0],\n [0, 2, 2],\n [0, 2, 1]]\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^2 where A is:\n[[1, 2, 2],\n [0, -1, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 2],\n [-3, -2, -3],\n [-3, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 3],\n [0, -2, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, 1],\n [0, 3, 2],\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 absolute values of all entries of the result:\nA =\n[[2, 2, 1],\n [0, -1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, 0],\n [0, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, -1],\n [0, -1, 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": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -3],\n [0, 0, 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": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 3, 0],\n [0, -2, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, -3],\n [-1, 3, -1],\n [3, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, 0],\n [0, 1, -1],\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^3 where A =\n[[0, 0, 2],\n [0, 2, -2],\n [2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -3],\n [0, -2, 2],\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[[0, -3, 0],\n [-3, 2, 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": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 2, -1],\n [2, -1, 0],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, 2],\n [0, 3, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 0],\n [0, -1, 0],\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": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -2, -3],\n [0, 2, 1],\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 value at position (3, 2) of the matrix A^3 where A is:\n[[2, -3, -1],\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -1],\n [-3, 1, 2],\n [2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 1, 3],\n [0, 3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 1, 0],\n [1, 1, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 2, -2],\n [0, -3, 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 value at position (1, 3) of the 2th power of the matrix:\n[[2, -2, 0],\n [0, 1, 1],\n [0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -2],\n [0, 3, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0],\n [0, 3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, -1, -1],\n [-2, 2, -2],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0],\n [-1, 2, -1],\n [-1, 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 absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0],\n [0, 3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -3, -2],\n [0, 2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, 2, -2],\n [0, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 0],\n [0, -2, 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": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-2, -1, 3],\n [3, 2, 1],\n [-3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 1],\n [0, 1, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -2],\n [0, 1, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0],\n [-1, 3, -2],\n [0, -2, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 0, -3],\n [-2, 3, -3],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 1, 2],\n [1, -1, 1],\n [2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 1],\n [0, 3, 0],\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": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -1, 1],\n [0, -1, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, 0],\n [2, 3, -2],\n [0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 1],\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": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[3, -1, 0],\n [-1, 2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 2],\n [0, 2, -3],\n [0, 0, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, 3, 0],\n [3, 2, 1],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, -2],\n [0, 3, -2],\n [-2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 3],\n [0, 2, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 3],\n [0, 2, 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": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 3],\n [0, 3, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 1, 3],\n [1, 0, 0],\n [3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0],\n [2, -1, -2],\n [-1, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 2, 0],\n [2, 3, 0],\n [0, 0, 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, 1) of the matrix A^3 where A is:\n[[3, 2, -3],\n [0, -3, -3],\n [-1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, 0, 1],\n [0, 1, -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 all entries of the result:\nA =\n[[3, 0, 3],\n [0, 2, 0],\n [3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -2],\n [0, 0, 1],\n [-2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[0, -3, 2],\n [0, -2, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[3, 2, 0],\n [2, 0, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, 0],\n [-2, 3, 1],\n [0, 1, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[1, -1, 2],\n [-1, -1, 0],\n [2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 1, 3],\n [-1, 2, 3],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, 0],\n [-3, 2, 1],\n [-1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 0],\n [0, 3, 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": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, 2],\n [-3, -1, -3],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -1],\n [-1, 1, -3],\n [2, -1, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -3],\n [1, -3, 2],\n [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": "252", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [0, 2, -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": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 1, -2],\n [0, -3, 1],\n [0, 0, 2]]?\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 (3, 3) of the matrix A^3 where A is:\n[[-2, 0, -2],\n [0, 0, 0],\n [-2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 0],\n [-2, 2, -1],\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": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[0, -3, 1],\n [-1, 0, -2],\n [-1, 1, 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, 2, -1],\n [-3, -3, -1],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -2],\n [-2, 0, 1],\n [0, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -1, -2],\n [-1, 3, -2],\n [-2, -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 sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -3],\n [0, -1, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-1, -3, -3],\n [0, 1, 1],\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^3 where A is:\n[[-3, 1, 2],\n [0, 1, -2],\n [0, 0, 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^2 where A =\n[[-2, 1, -1],\n [1, -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": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[2, 3, 0],\n [3, 0, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, 1, -3],\n [0, -1, -2],\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 value at position (3, 3) of the result:\nA =\n[[0, 0, 1],\n [0, 0, 0],\n [1, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 0],\n [0, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 2],\n [0, -3, 1],\n [2, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 1],\n [0, -1, 0],\n [1, 0, -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": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 1, 2],\n [0, -2, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2],\n [2, 3, 0],\n [-2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -2],\n [0, 1, 0],\n [-2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 3],\n [0, 1, 0],\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": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[1, -2, -1],\n [1, 3, -2],\n [-3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, -2],\n [1, -1, 2],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, 1],\n [0, -1, 0],\n [0, 0, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -1],\n [0, 0, 1],\n [-1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[0, 0, -3],\n [1, 1, -3],\n [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, 1) of the matrix A^2 where A is:\n[[-3, 3, 3],\n [-2, -3, 2],\n [-2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 3, -1],\n [3, 2, 3],\n [-1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -3],\n [0, 2, 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": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 1, -1],\n [1, -1, -3],\n [3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 2],\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 (3, 3) of the matrix A^2 where A is:\n[[3, -2, 2],\n [-2, 1, 2],\n [-2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -3],\n [0, -1, -3],\n [2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "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],\n [0, -3, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "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, -1, 2],\n [2, -1, 0],\n [2, 1, -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^2 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": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -1],\n [3, 0, 1],\n [-3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 0],\n [2, -3, -1],\n [0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, -1, 0],\n [-1, 2, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 1],\n [0, 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": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[1, -3, -3],\n [-1, 2, 3],\n [-3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 1],\n [-1, 0, 2],\n [1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 2],\n [0, -3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, 3],\n [-2, -3, -3],\n [0, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^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": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, 3],\n [0, -3, -2],\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, -1, -2],\n [0, -2, 3],\n [1, -3, 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^2 where A =\n[[2, 3, -3],\n [0, 0, 2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, 3],\n [-1, -3, -1],\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 all entries of the 3th power of the matrix:\n[[3, 0, 0],\n [0, 2, 3],\n [0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, 3],\n [-3, -2, 1],\n [1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "470", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-3, 0, 0],\n [-1, 3, -1],\n [-1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, -3],\n [0, -3, -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": "5", "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, -1, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, -3],\n [0, 3, 0],\n [-3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 0],\n [0, 1, 0],\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": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, -2],\n [-2, 0, 1],\n [-3, 3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 2, 2],\n [-2, 2, 0],\n [-2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 1, -2],\n [-1, 2, 2],\n [1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, 0],\n [-2, 0, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 1, 0],\n [0, -3, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-1, -2, 3],\n [-2, 0, 1],\n [3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 0],\n [-2, 3, -2],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "389", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, 2],\n [1, -2, -1],\n [-2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [-1, 2, -2],\n [1, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, -2],\n [0, 0, 3],\n [1, 0, 0]], 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": "For the matrix power A^2 where A =\n[[0, 3, -1],\n [-3, -2, 1],\n [-3, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 0],\n [-1, 3, -2],\n [0, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-2, -1, 2],\n [0, 2, 1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, -2],\n [0, 1, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 3],\n [0, -3, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, 2],\n [0, 2, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\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": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 1],\n [-2, -1, -2],\n [1, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [0, -1, 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": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, -2],\n [-1, -1, -1],\n [-2, -1, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, 0],\n [-1, 1, -3],\n [2, -2, 3]]\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 2th power of the matrix:\n[[-2, -2, -2],\n [-2, 1, -1],\n [-2, -1, -2]]\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 value at position (3, 2) of the result:\nA =\n[[-1, -2, -3],\n [0, 1, 0],\n [-2, -2, 0]]\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[[-3, -1, 2],\n [-1, -3, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 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": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 2],\n [-2, -1, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[0, -3, -3],\n [3, -1, 0],\n [-3, 3, 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^2 and find the sum of all entries of the result:\nA =\n[[3, -2, 2],\n [-2, -3, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 0],\n [0, 2, 0],\n [0, 0, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 3, -2],\n [-1, -2, -1],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, 2, -2],\n [2, 0, -2],\n [-2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 0],\n [0, 0, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 1],\n [0, 3, 1],\n [0, 0, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 2],\n [-1, -2, -3],\n [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": "176", "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],\n [0, 0, 0],\n [2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, -1],\n [0, 0, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[0, -2, -1],\n [0, -1, -2],\n [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^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, -2, 0],\n [0, 0, 2]]\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^2 where A is:\n[[-1, -1, 1],\n [-2, 2, 2],\n [-3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -2],\n [0, 3, 0],\n [0, 0, -2]], 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": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-1, 0, 0],\n [0, 3, 3],\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 all entries of the 3th power of the matrix:\n[[-2, -1, 2],\n [0, -1, 1],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 1],\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 all entries of the matrix A^2 where A is:\n[[-3, -3, -3],\n [0, -2, -3],\n [0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -2, -3],\n [0, 2, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 3],\n [0, -2, -3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[3, 0, 1],\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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, -2],\n [0, 1, 1],\n [-2, 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 (1, 3) of the matrix A^2 where A is:\n[[3, 1, 0],\n [0, -2, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[3, -2, 1],\n [0, -1, -2],\n [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 absolute values of all entries of the result:\nA =\n[[-2, -2, 0],\n [2, 1, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2],\n [0, 0, 3],\n [0, 0, 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 all entries of the matrix A^3 where A is:\n[[0, -2, -2],\n [0, 0, -1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 1],\n [-2, -1, 1],\n [1, 1, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 2, -2],\n [0, 3, -2],\n [0, 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 all entries of the matrix A^2 where A is:\n[[2, 0, -2],\n [0, -2, -2],\n [-2, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 3],\n [0, 2, -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": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, -1],\n [3, 1, 0],\n [3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 0],\n [0, 1, 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": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 0],\n [2, -2, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "248", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 1, 2],\n [1, 3, -1],\n [-1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 3],\n [0, -3, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[2, 0, 2],\n [0, 2, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 3, -1],\n [0, -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 3th power of the matrix:\n[[-2, 3, 0],\n [3, 1, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 3],\n [0, 3, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-1, -1, 0],\n [0, -3, 2],\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 (3, 1) of the 3th power of the matrix:\n[[0, -3, -3],\n [-3, 0, -2],\n [-3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[0, 2, -1],\n [2, 0, 2],\n [-1, 2, 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 absolute values of all entries of the result:\nA =\n[[3, 1, 0],\n [1, 1, 1],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 3],\n [-1, 2, 0],\n [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": "155", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -1, 2],\n [-1, -1, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, 2, 0],\n [2, 2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 3, 1],\n [-2, 2, 1],\n [3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, -1],\n [0, -2, 2],\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": "80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, 0],\n [0, 2, -1],\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": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -1, 2],\n [-3, 2, -2],\n [0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 0],\n [-1, -1, 2],\n [1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-1, 3, 0],\n [3, -1, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, 3],\n [-1, -2, 2],\n [3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "672", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0],\n [0, -1, 3],\n [-2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 0],\n [0, 0, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, -3],\n [0, 0, -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": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -1, -1],\n [1, -2, 3],\n [-2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 0],\n [1, -1, 0],\n [-2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -3, -2],\n [0, 2, -3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -1, 0],\n [-3, 0, 3],\n [-2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 2, 2],\n [0, -2, 3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 2],\n [0, -2, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, -2],\n [0, -3, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2],\n [-2, 0, 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": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2],\n [0, 3, 2],\n [2, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "267", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[-2, 2, 0],\n [2, 1, 2],\n [0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-1, -2, -3],\n [0, -2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 0],\n [0, -3, 2],\n [0, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\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": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, 1],\n [0, -2, 3],\n [0, 0, -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^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, -1],\n [0, 0, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, 0],\n [-1, -2, 2],\n [1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, 0],\n [0, 2, -1],\n [3, 3, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -3],\n [-2, -1, 2],\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": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, -1, -2],\n [-2, 3, 0],\n [1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 0],\n [0, -3, 0],\n [3, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 3],\n [0, 2, -2],\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": "22", "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],\n [3, 3, -1],\n [3, 0, 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 (1, 2) of the result:\nA =\n[[-2, -3, -1],\n [-2, -1, -1],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[2, 1, 1],\n [0, 1, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[2, 2, -2],\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": "For the matrix power A^3 where A =\n[[-2, 2, 0],\n [2, 2, -2],\n [0, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 1],\n [-1, 1, -2],\n [1, 1, -3]], 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^3 where A =\n[[3, 2, -2],\n [2, 1, 0],\n [-2, 0, -3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, -3],\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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 2, 0],\n [1, -3, 2],\n [-3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 1, -3],\n [3, 1, 0],\n [0, 0, -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^2 and find the value at position (2, 1) of the result:\nA =\n[[-2, 1, 2],\n [-3, 2, -3],\n [-3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-2, 2, -2],\n [1, 2, 0],\n [-3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 2],\n [0, -3, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -3, -2],\n [-2, 2, -2],\n [-1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, -2],\n [3, -2, 0],\n [-2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th 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": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 0],\n [2, 0, 2],\n [0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 3],\n [-1, 2, 2],\n [1, 1, -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[[3, -2, -2],\n [0, 1, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 3],\n [0, 3, 3],\n [-3, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "373", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, -1],\n [-3, 0, 1],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, -2],\n [2, 3, 1],\n [-2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, 0],\n [3, 2, 2],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[0, 1, -2],\n [1, -3, -2],\n [3, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, -2],\n [2, -3, 2],\n [-2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "363", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, -1, -1],\n [0, 1, 2],\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, 0, 2],\n [0, 3, 0],\n [2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 1],\n [2, -3, -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": "-3", "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, 1],\n [2, -3, 3],\n [2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, -3],\n [1, 2, -2],\n [2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[0, -2, 0],\n [-2, 0, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, 0],\n [2, 3, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, -3, -2],\n [-3, 0, 2],\n [2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, -2],\n [0, -3, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -1, 0],\n [-2, -2, -2],\n [1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -1, 0],\n [-1, -1, 1],\n [0, 1, 1]]\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[[2, 3, 3],\n [0, 1, -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": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\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": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-1, -2, -2],\n [-1, 2, -1],\n [-1, 2, 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^2 where A =\n[[-2, 3, 3],\n [2, -3, -2],\n [-2, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, 2, 2],\n [2, -1, -2],\n [2, -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 value at position (2, 3) of the result:\nA =\n[[3, -1, 0],\n [-1, 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": "For the matrix power A^2 where A =\n[[-1, -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": "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, -3],\n [-1, 3, -3],\n [1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 1],\n [0, 3, 0],\n [1, 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[[2, 3, -3],\n [0, -1, 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": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 1, 0],\n [3, 3, 3],\n [3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, -2, 0],\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": "For the matrix power A^2 where A =\n[[2, 1, 0],\n [0, -1, -3],\n [0, 0, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, -2],\n [0, 2, 0],\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": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 2],\n [0, -1, 3],\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^3 where A =\n[[-2, 1, 3],\n [0, 3, -2],\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": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, -1, 0],\n [0, 3, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, -1],\n [0, 3, 3],\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": "39", "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 [0, -2, -2],\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 (1, 3) of the 3th power of the matrix:\n[[3, -3, -1],\n [0, 3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, 1],\n [1, -1, 0],\n [-3, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, -1],\n [3, 0, 1],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 3],\n [0, -3, -2],\n [1, -3, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, -3],\n [1, 2, 1],\n [0, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[1, 1, -3],\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^3 where A =\n[[0, 0, -3],\n [0, -1, -1],\n [3, 0, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 1, -1],\n [0, -2, -1],\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^3 where A is:\n[[0, -2, 3],\n [-2, -1, 0],\n [3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[1, 3, 3],\n [0, 0, 2],\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^2 and find the value at position (1, 2) of the result:\nA =\n[[-3, -3, -1],\n [2, 2, -1],\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 sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 0, 1],\n [0, -1, 0],\n [1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, -2],\n [1, 0, 1],\n [-2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, 0],\n [0, -2, -3],\n [0, 0, 0]]?\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 2th power of the matrix:\n[[-1, 3, 2],\n [0, -1, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, 2],\n [0, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 0],\n [0, 2, 2],\n [0, 2, 3]], 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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, -2],\n [0, 3, -2],\n [-2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -3, 0],\n [-3, 1, 1],\n [0, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\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": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 1, -2],\n [0, -1, -3],\n [-3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, 2, 2],\n [2, -3, -1],\n [2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -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": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 3],\n [0, 2, -1],\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": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -2],\n [-3, 2, -2],\n [-1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 2],\n [2, -1, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -2],\n [-2, 0, -2],\n [-2, -2, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-2, 2, 1],\n [0, -1, 3],\n [-1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, 0],\n [0, 1, 1],\n [0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 3],\n [1, 2, -1],\n [-1, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -3, -3],\n [-1, -1, 1],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 3, -3],\n [0, 2, -2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, -2],\n [-2, 3, 0],\n [1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 2],\n [0, -3, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -2],\n [-1, 2, 0],\n [-3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "205", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -3, 1],\n [-3, 1, -2],\n [1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[3, -1, -3],\n [0, -1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2],\n [0, 2, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 2, 1],\n [0, 0, 2],\n [0, 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^3 and find the sum of all entries of the result:\nA =\n[[3, 2, 0],\n [2, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -1],\n [1, 3, -2],\n [-1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 1],\n [-1, -2, -1],\n [0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -1],\n [3, -3, 0],\n [1, -1, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[2, 1, 2],\n [1, -1, 3],\n [-2, 0, -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^2 where A =\n[[3, 0, 0],\n [-3, 0, 3],\n [-2, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, -2],\n [0, -1, 2],\n [0, 0, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -1],\n [0, 2, 3],\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": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 3],\n [0, 1, 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": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 3, 1],\n [0, 1, -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 value at position (1, 1) of the matrix A^2 where A is:\n[[0, 2, -1],\n [2, 1, -3],\n [-1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 2, 0],\n [2, -2, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 0],\n [0, -2, -1],\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": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, -2],\n [1, 3, -2],\n [-2, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -1],\n [0, 2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, -2],\n [0, -3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[1, 1, -2],\n [0, -2, 0],\n [2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-3, 0, 2],\n [0, -2, -2],\n [2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 1, 0],\n [0, 1, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -1, -3],\n [-1, 3, -3],\n [2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, -2],\n [0, -3, -1],\n [-2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 3],\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": "17", "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, -2, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, -1],\n [-3, -2, 2],\n [-3, 1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-381", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -2, 0],\n [-2, -2, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, -1],\n [3, 1, 3],\n [0, -2, 0]], 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 3],\n [0, -1, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-3, 1, -3],\n [2, -2, 3],\n [2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 3],\n [0, -3, -1],\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": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, -2],\n [3, -2, -3],\n [1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "275", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[-1, 2, -3],\n [2, -2, -2],\n [-3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 2],\n [0, 3, 2],\n [3, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [0, 1, 0],\n [0, 0, -3]], 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": "For the matrix power A^3 where A =\n[[-1, 0, 2],\n [0, 0, 1],\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": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -1],\n [-1, 3, 0],\n [-1, 0, 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -2, 0],\n [-2, -1, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-1, -2, -2],\n [-2, -3, 0],\n [-2, 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^3 where A =\n[[-2, 0, 0],\n [0, 2, -1],\n [0, -1, 0]], determine the value at position (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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -3],\n [0, 0, 0],\n [-3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, 1],\n [0, 3, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 2, -3],\n [2, 3, -2],\n [-3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[0, 2, -3],\n [0, -3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, 2],\n [1, 3, 2],\n [2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, 1],\n [0, -1, -2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -1],\n [0, -1, 1],\n [-1, 1, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 2, -1],\n [3, 3, -3],\n [2, 2, 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, 1) of the 3th power of the matrix:\n[[2, -3, 3],\n [0, 1, -1],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, 2],\n [0, 1, 0],\n [0, 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 (1, 2) of the matrix A^2 where A is:\n[[2, 1, 2],\n [2, 1, -1],\n [3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-3, -1, 3],\n [0, 1, -1],\n [0, 0, -3]]\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[[-1, 0, 0],\n [0, 1, -2],\n [0, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, 1, -1],\n [0, -1, -1]]?\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[[0, -2, -3],\n [-1, 1, 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": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, -1],\n [0, 0, -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": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 2, -3],\n [0, 2, 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 sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 3, -2],\n [3, 1, -3],\n [-1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -2],\n [-1, -3, -3],\n [0, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 2],\n [0, 0, 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": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2],\n [0, -3, 2],\n [2, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 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": "94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -2],\n [0, -3, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -2, -1],\n [3, 3, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, -1],\n [0, 0, 0],\n [-3, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, 3],\n [0, 2, -1],\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": "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[[0, -3, 0],\n [-3, 2, -2],\n [-3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, 3, 0],\n [0, -3, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -3, -2],\n [1, -3, -2],\n [1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 0],\n [0, -1, 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": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[1, 2, 1],\n [-2, -1, 1],\n [0, -3, 2]]?\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, 3) of the matrix A^3 where A is:\n[[2, 2, -2],\n [2, 0, 2],\n [-2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, -2],\n [0, 0, 1],\n [-2, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 3],\n [0, 1, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -1, -3],\n [0, -1, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -1, 3],\n [-1, 2, 0],\n [3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 2],\n [-3, 1, -2],\n [0, -3, -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 (2, 1) of the 2th power of the matrix:\n[[-1, 0, -2],\n [-2, -2, 2],\n [-3, -3, 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^2 and find the sum of all entries of the result:\nA =\n[[2, 0, 2],\n [-1, -1, 1],\n [1, 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^3 where A is:\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": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, 3],\n [0, 1, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -3],\n [0, 0, 0],\n [0, 0, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-2, -1, 2],\n [-1, -3, 0],\n [2, 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 absolute values of all entries of the result:\nA =\n[[2, 2, 1],\n [2, 3, -2],\n [1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "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 [2, -3, 2],\n [1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0],\n [2, -2, 1],\n [-3, 1, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 2, -2],\n [0, 0, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0],\n [3, -3, 0],\n [1, -2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, -3],\n [1, 2, 2],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, 1],\n [2, -1, 1],\n [1, 1, -1]]?\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 3th power of the matrix:\n[[-1, -2, -2],\n [0, -1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -1, 2],\n [0, 1, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-1, -2, -1],\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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 1, 3],\n [-2, 0, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 3],\n [0, -2, 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": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 3, -3],\n [0, -1, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -2, 0],\n [0, -2, 1],\n [0, 0, -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 (3, 1) of the matrix A^2 where A is:\n[[-3, -1, -2],\n [-1, 1, 2],\n [-2, 2, 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, 2) of the matrix A^2 where A is:\n[[-3, 2, 3],\n [0, 0, 0],\n [-2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, 0],\n [3, 0, 1],\n [0, 1, 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^3 where A =\n[[-3, 3, -2],\n [0, -3, 2],\n [1, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 2, -1],\n [2, -3, -2],\n [-1, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -3],\n [3, -3, 2],\n [3, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, 1],\n [3, 3, 2],\n [1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -2],\n [0, -2, -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": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2],\n [0, -2, 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": "-22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, 2, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 0, 2],\n [-3, 3, 3],\n [-1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -3],\n [3, 2, 0],\n [-2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 2],\n [2, -1, 0],\n [2, 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 2],\n [0, 2, 1],\n [2, 1, 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 absolute values of all entries of the matrix A^2 where A is:\n[[3, 2, 0],\n [2, -3, 2],\n [0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -3],\n [1, -2, -3],\n [-2, 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 absolute values of all entries of the 2th power of the matrix:\n[[3, -3, 0],\n [-1, 3, -1],\n [-3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, -1, 3],\n [0, -3, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, 2, 2],\n [2, 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 value at position (1, 3) of the matrix A^3 where A is:\n[[-3, 3, 1],\n [3, -2, 1],\n [-3, -3, -2]]?\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[[2, 1, 2],\n [1, -2, 1],\n [2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-3, -3, 1],\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^2 and find the value at position (2, 1) of the result:\nA =\n[[3, 3, 1],\n [1, 1, 0],\n [3, 0, 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^3 where A is:\n[[-1, 0, 0],\n [0, -2, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 2, -1],\n [3, 2, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 1],\n [0, 2, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, 2, -2],\n [3, 0, 2],\n [2, -3, 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[[1, -1, -3],\n [0, 0, 0],\n [0, 0, -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[[0, 3, 3],\n [-2, 0, 1],\n [1, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, -2, 0],\n [-2, 1, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 1, 0],\n [1, 2, -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 value at position (2, 1) of the 3th power of the matrix:\n[[0, 2, 2],\n [2, -3, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[1, 1, -3],\n [-1, 0, 0],\n [1, 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^2 where A is:\n[[0, 0, -1],\n [0, -3, 0],\n [-1, 0, 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^2 and find the value at position (1, 2) of the result:\nA =\n[[-1, -2, 3],\n [3, -1, -2],\n [3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, -2],\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": "-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, 3, -1],\n [0, 0, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 3],\n [0, 2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0],\n [1, -3, -2],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-197", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, -2],\n [2, 1, 2],\n [-2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -3],\n [0, 1, 2],\n [-3, 2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 1],\n [0, -3, 2],\n [0, 0, 0]], 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^3 where A =\n[[-2, 0, -1],\n [0, -1, -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": "-23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, -2],\n [0, 2, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -3, 2],\n [0, 2, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-1, 2, 0],\n [2, -3, -2],\n [0, -2, -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^2 where A =\n[[-2, 0, 0],\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": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 0, -2],\n [0, 0, 0],\n [0, 0, 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 absolute values of all entries of the result:\nA =\n[[-3, 3, 3],\n [1, 0, 0],\n [2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, 0],\n [0, -1, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, -2],\n [0, -2, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 3, -2],\n [0, -1, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [0, 3, 0],\n [0, 0, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -1, 2],\n [0, 0, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 1, 0],\n [1, 1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[3, 0, 0],\n [-2, 1, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, 2],\n [0, 1, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -1],\n [0, 2, 3],\n [0, 0, -2]]\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[[0, -2, 3],\n [-3, -1, -3],\n [1, 2, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, -1],\n [-3, -3, 2],\n [2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, 0],\n [-1, -2, -3],\n [0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-100", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 3, 3],\n [0, 3, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, 1],\n [-2, -2, 0],\n [1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, -2],\n [0, -3, 0],\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": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -3],\n [-2, 3, 2],\n [-1, -3, 3]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 3],\n [3, -1, -2],\n [1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 0, 2],\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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 0],\n [0, 1, 1],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, 0, -3],\n [0, -1, -1],\n [0, 0, -3]]\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[[1, 0, 0],\n [0, -1, -2],\n [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": "55", "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 [-2, -1, -3],\n [0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 3, 0],\n [3, -2, -2],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-2, 2, 3],\n [-3, 3, 0],\n [3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\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": "-23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 1, 1],\n [0, 2, -2],\n [0, 0, -2]]\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 2th power of the matrix:\n[[1, 0, -3],\n [0, -2, -3],\n [0, 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 all entries of the 2th power of the matrix:\n[[2, 3, 2],\n [3, 1, 3],\n [2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 0, -2],\n [0, 3, 1],\n [-2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 2],\n [3, 3, 0],\n [2, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -1, -3],\n [0, 2, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -3],\n [3, -1, -3],\n [-3, -1, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 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": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[3, -2, -3],\n [0, 1, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, -3],\n [0, 2, -3],\n [-2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-535", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, -2, 3],\n [2, 3, -3],\n [1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 0],\n [0, 0, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, -1],\n [0, -3, 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": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, 0, 2],\n [0, 3, 1],\n [2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, -3],\n [0, -2, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 2, -2],\n [0, 0, -2],\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^2 where A =\n[[3, -3, 2],\n [0, -1, -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": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 3, -2],\n [1, 2, 3],\n [-3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, -2],\n [0, 0, 0],\n [-2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "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, 1],\n [0, -2, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\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": "288", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-3, -1, 0],\n [2, 3, -2],\n [0, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -1, -2],\n [2, 2, -1],\n [-2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -2, 1],\n [-2, 3, 0],\n [1, 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 (3, 1) of the matrix A^2 where A is:\n[[-3, 1, 0],\n [-1, 1, 0],\n [-1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[2, 2, 2],\n [0, 0, -2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, 1],\n [2, 0, -3],\n [3, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 0],\n [-2, -3, -2],\n [2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, -3],\n [0, 0, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 2],\n [0, 3, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -3, 0],\n [0, 1, -2],\n [1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, 2],\n [0, -3, 3],\n [0, 0, -1]]\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[[-1, 0, 0],\n [0, 0, 0],\n [0, 0, 3]], 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": "For the matrix power A^2 where A =\n[[-2, -3, 2],\n [-3, 1, -1],\n [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": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 3, -1],\n [1, -1, -1],\n [-1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[2, -3, 1],\n [0, -2, 1],\n [0, 0, 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 2th power of the matrix:\n[[3, 2, 1],\n [-2, -1, -3],\n [-2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2],\n [0, 1, 0],\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": "251", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, -2, 1],\n [-2, 0, 0],\n [1, 0, 2]]?\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, 2) of the 2th power of the matrix:\n[[3, -2, 2],\n [3, -2, 1],\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^2 where A =\n[[1, 2, -1],\n [2, -3, -1],\n [-1, -1, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -3, 1],\n [-2, 1, 2],\n [1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, 2, 0],\n [2, -3, 2],\n [0, 2, -2]]?\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 value at position (2, 3) of the result:\nA =\n[[-2, -1, -1],\n [2, 2, -3],\n [-1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, 0, -2],\n [0, 1, -2],\n [2, 2, -3]]\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^2 where A is:\n[[-2, 1, 0],\n [0, -3, 1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [0, -1, -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": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-2, -3, -1],\n [1, 0, -2],\n [0, 0, 2]]?\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[[-3, 3, 1],\n [0, -1, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-3, 1, -1],\n [0, -3, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, 2],\n [-3, 3, 2],\n [-3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-221", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\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": "192", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, -1, -1],\n [0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, 1],\n [1, 0, 1],\n [1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, -2],\n [2, -2, 1],\n [-2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, -3],\n [0, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -1, 1],\n [2, 0, 0],\n [3, -2, 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 absolute values of all entries of the matrix A^2 where A is:\n[[0, 3, 2],\n [-3, 2, 0],\n [-1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -2],\n [2, 1, -1],\n [-2, -1, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, 0],\n [-1, -2, -3],\n [0, -3, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, -3],\n [0, 0, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^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": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 2, 3],\n [0, -2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, -1],\n [0, -2, -1],\n [-1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 0],\n [-2, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, -3],\n [-1, -3, 1],\n [-3, 1, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, -2],\n [-1, 0, -3],\n [3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 0, 0],\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 2],\n [1, 1, 0],\n [3, 0, 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^2 where A is:\n[[-1, -3, -2],\n [3, 2, -1],\n [-1, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, -2],\n [1, -2, -2],\n [-2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "210", "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, 1, 3],\n [0, 3, -1]]?\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[[-2, 2, -1],\n [2, -3, 3],\n [1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 3],\n [2, 1, 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": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, -2],\n [-2, -1, -2],\n [-2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 1, -1],\n [0, -2, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "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, 0, -2],\n [-1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, -2, -2],\n [-3, -3, 0],\n [2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 1, 3],\n [0, -2, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, 2, 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": "36", "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],\n [0, -3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 1],\n [-2, 0, 3],\n [-1, 3, -2]], 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 3th power of the matrix:\n[[-3, -3, -2],\n [-1, 3, -2],\n [-1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[1, 2, 1],\n [0, 3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 0],\n [0, -2, -2],\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": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 0],\n [0, -1, 0],\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": "1", "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, 1, -1],\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 sum of all entries of the 2th power of the matrix:\n[[1, 3, 2],\n [3, -2, 2],\n [2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, -1],\n [0, -1, 1],\n [-2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 2],\n [-3, -2, 2],\n [3, 1, 0]], 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": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-1, -1, 3],\n [-1, 2, -3],\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 value at position (3, 1) of the 3th power of the matrix:\n[[0, -2, 0],\n [-2, 1, -2],\n [0, -2, 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[[1, 3, 0],\n [0, -2, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [0, 1, 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": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 0],\n [0, -3, -2],\n [0, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 2, -3],\n [0, 0, -2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[2, 3, -2],\n [0, 1, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, 0, -2],\n [0, 1, 3],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, -2],\n [0, 3, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, -2],\n [1, 0, 1],\n [-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": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 1],\n [0, -3, 1],\n [1, 1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, -3, 2],\n [3, 3, -1],\n [0, 1, 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^2 and find the sum of all entries of the result:\nA =\n[[1, -2, 3],\n [-2, 0, 1],\n [3, 1, -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^2 where A =\n[[-3, 0, 0],\n [0, 1, 0],\n [0, 0, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 3],\n [1, 2, -1],\n [-3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -1, 2],\n [0, 2, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th 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": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 3],\n [0, -3, 0],\n [0, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0],\n [-3, 3, 0],\n [-2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -2, 3],\n [0, 2, -3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 1],\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^2 and find the sum of all entries of the result:\nA =\n[[0, 2, 1],\n [2, -1, 2],\n [1, 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 all entries of the 3th power of the matrix:\n[[2, -1, 3],\n [0, -2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -2, 1],\n [2, 3, -2],\n [-1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, -1],\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": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[2, -1, 1],\n [-1, 1, -1],\n [1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 2],\n [0, -1, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[2, 0, -2],\n [0, 1, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0],\n [-2, 3, -2],\n [0, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 3, 0],\n [0, 2, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -2, 0],\n [0, 2, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, -3],\n [0, -3, 0],\n [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 (2, 1) of the matrix A^2 where A is:\n[[-2, -2, -2],\n [0, -1, -1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, -3],\n [-2, -3, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 1],\n [3, -2, -1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-1, -3, -2],\n [1, 0, 0],\n [-2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 1],\n [-1, -1, -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": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, -3],\n [1, -2, 1],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -3, 1],\n [0, 0, 0],\n [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 all entries of the result:\nA =\n[[-1, 1, 2],\n [2, -2, -3],\n [-3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, -1],\n [2, 2, -2],\n [1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-1, 3, -3],\n [3, 0, 3],\n [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 value at position (2, 1) of the matrix A^3 where A is:\n[[3, 0, -2],\n [-3, 1, -3],\n [3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 1, -3],\n [-3, -1, 3],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, 0, -1],\n [-1, -3, 0],\n [3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 2],\n [0, 3, -3],\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": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, -1],\n [0, -2, 3],\n [2, 1, 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[[3, 0, 2],\n [0, 2, 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": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, -3, -3],\n [-1, -3, -3],\n [-3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[1, 2, -1],\n [-1, 2, 3],\n [1, -3, -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, 0, 1],\n [0, -1, 2],\n [1, 2, 3]], determine the value at position (2, 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, 3, 2],\n [1, 2, 0],\n [-1, 3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[1, -3, -1],\n [3, -1, 2],\n [-3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[0, -3, 3],\n [0, 3, -1],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 2],\n [0, -2, 3],\n [0, 0, 0]], 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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -1, 2],\n [-1, -2, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-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": "-62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, 3],\n [-2, 1, -2],\n [3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-1, 2, -1],\n [2, -2, -2],\n [-1, -2, -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 (3, 2) of the matrix A^2 where A is:\n[[-1, 1, 1],\n [-2, 1, -1],\n [2, 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^2 and find the sum of all entries of the result:\nA =\n[[2, 0, -2],\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -1],\n [-2, 0, 2],\n [-1, 2, 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^2 where A =\n[[1, 3, 3],\n [0, 2, -3],\n [0, 0, 2]], 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": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, 1, -1],\n [0, 0, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[1, 2, -1],\n [0, 0, -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^2 where A is:\n[[-2, 0, -1],\n [-2, 0, 3],\n [2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, -2],\n [-1, -2, -2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[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": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, 1],\n [0, -2, 0],\n [0, 0, 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 2th power of the matrix:\n[[3, 0, 0],\n [-1, -1, 1],\n [-2, -1, -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^2 where A =\n[[-3, 3, -2],\n [0, 2, -1],\n [0, 0, -1]], determine the value at position (1, 2).\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 3th power of the matrix:\n[[-1, 2, 3],\n [0, 3, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-2, 2, -3],\n [0, 3, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, -1],\n [0, -3, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "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, 3],\n [0, 3, 1],\n [0, 0, -3]]\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, 2],\n [2, 3, 1],\n [2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-3, 0, 0],\n [0, -2, -2],\n [0, -2, 0]]\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[[0, -2, 3],\n [0, -1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -2],\n [1, -3, -1],\n [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": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[1, 0, 0],\n [0, 3, -1],\n [0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, -1],\n [0, -2, 3],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -3],\n [0, -1, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -2],\n [-2, 1, -1],\n [0, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, -2],\n [0, 2, -2],\n [-2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 0, 2],\n [0, 2, -2],\n [2, -2, -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[[0, 1, 2],\n [0, 1, 3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, -3],\n [-1, 0, 0],\n [1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 3],\n [0, 0, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 0],\n [-1, -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": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[0, -1, -1],\n [-1, 3, 2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 1, -2],\n [3, 0, -3],\n [-2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, 0, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 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, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, 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": "41", "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, -2],\n [0, -2, -2]]\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[[3, 1, 2],\n [-2, -1, -2],\n [1, 2, -3]]\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 (1, 3) of the matrix A^2 where A is:\n[[-1, -3, 0],\n [-1, -2, 0],\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 absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 0],\n [2, 2, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 0],\n [1, -2, -3],\n [0, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -1, 2],\n [0, 3, -3],\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 value at position (1, 1) of the result:\nA =\n[[2, -1, 0],\n [3, -2, -3],\n [3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 2],\n [0, -3, -3],\n [0, 0, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, -2],\n [-1, 2, 0],\n [2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, 2],\n [0, 2, -2],\n [-2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, 2],\n [-3, 3, 0],\n [-3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -3],\n [0, -3, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 0],\n [-3, -3, -2],\n [-3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 1],\n [-2, 1, -2],\n [1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-3, -1, -1],\n [0, -1, -1],\n [0, 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^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, 1, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, -1],\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": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -3],\n [0, 2, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-1, -2, -1],\n [0, 2, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 0],\n [0, 0, 3],\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": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[3, -3, 3],\n [0, 0, -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, 1) of the 2th power of the matrix:\n[[0, -1, 0],\n [-1, 2, 0],\n [0, 0, -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^2 where A =\n[[-3, 0, 3],\n [0, -1, 1],\n [0, 0, 2]], determine the value at position (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^3 where A =\n[[1, -1, -3],\n [0, 2, -2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 2],\n [-2, 2, 2],\n [-2, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, -1, -3],\n [3, -2, 0],\n [1, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -2, 0],\n [-2, 3, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0],\n [-2, 3, -2],\n [0, -2, 0]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 2, 0],\n [2, 3, 0],\n [0, 0, 1]]?\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, 2) of the 2th power of the matrix:\n[[-2, 2, 0],\n [-1, 1, -3],\n [-3, -1, -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[[0, 0, 2],\n [0, 3, 0],\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": "142", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, -2],\n [2, 1, 0],\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": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 0],\n [0, 2, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 3, -1],\n [0, -2, 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 value at position (1, 1) of the 3th power of the matrix:\n[[3, -2, 2],\n [3, 0, 2],\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 (2, 3) of the matrix A^2 where A is:\n[[-3, 1, 2],\n [0, 1, 2],\n [-2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[1, 0, 0],\n [0, -1, -1],\n [0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -2, 3],\n [0, 3, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 0],\n [0, 0, -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": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [0, 0, 1],\n [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": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-3, -1, 2],\n [-1, -1, 3],\n [2, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 3, -1],\n [-2, -1, -3],\n [-3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -2],\n [0, -2, 0],\n [-2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 0],\n [0, -3, 0],\n [0, 0, -3]]\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, 3) of the 2th power of the matrix:\n[[-3, -3, 0],\n [-3, -1, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 3],\n [0, 2, -2],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 1],\n [0, 0, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 1, 1],\n [0, 1, -2],\n [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^2 where A =\n[[-3, 2, -3],\n [0, -2, 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": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, -3],\n [3, 2, 3],\n [-2, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 0, 3],\n [3, 2, -3],\n [3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 0],\n [2, 0, -1],\n [0, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, 0],\n [2, -1, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2],\n [0, -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": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 1],\n [0, 1, 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": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 2],\n [0, -2, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 0, 0],\n [0, -1, 1],\n [0, 1, 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 all entries of the result:\nA =\n[[-1, -1, -2],\n [0, -2, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, -1, 1],\n [-3, -1, 3],\n [0, 2, -1]]\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[[-2, 2, -1],\n [0, 1, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-2, -1, -1],\n [-1, 2, 2],\n [-1, 2, 0]]?\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, 3],\n [0, 2, 0],\n [3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "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, 3, -1],\n [0, 1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[2, -1, 0],\n [-3, -1, 0],\n [2, -3, 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^3 where A is:\n[[2, -3, 0],\n [3, 3, 3],\n [2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 1, -1],\n [0, -2, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, -2],\n [3, -2, 1],\n [-1, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -3],\n [0, 3, 1],\n [0, 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^3 where A =\n[[-2, 3, -3],\n [1, -3, -1],\n [0, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -3],\n [0, -2, -2],\n [0, 0, -2]]\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, 1) of the 3th power of the matrix:\n[[3, -1, 2],\n [0, 2, -2],\n [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^3 and find the value at position (1, 1) of the result:\nA =\n[[2, -1, -2],\n [-1, 1, -2],\n [-2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 0],\n [0, -3, 2],\n [0, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -3],\n [3, 0, -2],\n [3, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 2],\n [0, 1, 0],\n [2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 1],\n [2, 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": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[0, 0, 0],\n [0, 3, 0],\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 all entries of the 3th power of the matrix:\n[[-2, -3, -3],\n [0, -2, 3],\n [3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -3, 2],\n [0, 2, 0],\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^2 where A is:\n[[-3, 3, 3],\n [0, -3, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, 1],\n [2, 0, 1],\n [3, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 2, 1],\n [-1, -1, 1],\n [2, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 1],\n [2, 2, 3],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "386", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 2],\n [0, 3, -2],\n [2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-1, -2, -1],\n [-2, 3, -1],\n [-1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 3],\n [0, 0, -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": "81", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, 3],\n [0, -1, 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": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 0, 2],\n [0, 0, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, -2, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 0],\n [3, 3, 3],\n [0, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "907", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 0],\n [0, 3, -1],\n [-2, -3, 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^2 and find the sum of all entries of the result:\nA =\n[[3, -2, -2],\n [-2, -3, -2],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, -3],\n [0, -2, 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": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 1, 0],\n [0, -2, 3],\n [0, 0, 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^3 and find the value at position (2, 3) of the result:\nA =\n[[2, -3, 1],\n [0, 2, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries 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": "142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-3, 0, 2],\n [0, 0, 2],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, -2],\n [1, -3, -1],\n [-1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[3, 2, 1],\n [2, 1, 2],\n [1, 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 3th power of the matrix:\n[[3, 1, -2],\n [0, 1, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 3, -3],\n [0, 1, -2],\n [0, 0, 0]]?\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 2th power of the matrix:\n[[0, -1, -3],\n [-2, -1, -2],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[1, 3, -2],\n [-1, -2, 1],\n [-3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-1, -1, 2],\n [0, 3, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, 3],\n [-3, -2, 2],\n [2, 1, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 1],\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": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, -1],\n [0, 0, 1],\n [2, 1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 0],\n [1, 1, 2],\n [0, 2, -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^2 where A =\n[[1, 1, -3],\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": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, -3],\n [2, 3, 0],\n [1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[1, 0, 2],\n [0, 0, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, 2],\n [0, 1, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, -2],\n [-2, 1, 3],\n [-1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -1],\n [0, 2, -2],\n [-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": "116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-3, -3, 1],\n [-1, -3, 2],\n [-3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, -1, 3],\n [0, -2, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 2],\n [0, 1, 0],\n [2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, 0, 2],\n [0, -1, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 0, 1],\n [0, 0, 2],\n [1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0],\n [0, 3, 1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 2],\n [0, -2, 2],\n [2, 2, -1]], determine the value at position (3, 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 absolute values of all entries of the matrix A^2 where A is:\n[[-3, 3, 3],\n [0, 0, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 3, 3],\n [0, -1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 2],\n [-3, 2, 3],\n [0, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [0, -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": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 1],\n [-2, -2, -2],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, -3],\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": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[2, 1, 0],\n [3, -3, 3],\n [2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[1, -2, -1],\n [3, 0, -2],\n [-2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, -3],\n [0, -3, 2],\n [-3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 3, 3],\n [0, -1, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -3, -2],\n [-3, 1, 0],\n [-2, 0, 0]]\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[[1, 0, 1],\n [0, 1, 0],\n [1, 0, 3]]\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, 2) of the 3th power of the matrix:\n[[2, -1, -3],\n [0, 3, 2],\n [-1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "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 (2, 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 2th power of the matrix:\n[[-2, 3, 3],\n [0, 1, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[2, 2, 2],\n [1, -3, 0],\n [-1, 3, 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[[-3, -3, 2],\n [-3, 2, -3],\n [2, -3, -2]]\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 3th power of the matrix:\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": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-1, -2, 0],\n [0, -1, -3],\n [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 absolute values of all entries of the result:\nA =\n[[0, 0, 0],\n [0, -1, 0],\n [0, 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[[-2, -2, 0],\n [-2, 1, 2],\n [0, 2, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 3],\n [2, -3, 0],\n [3, 0, -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^2 where A is:\n[[-2, -3, -2],\n [0, -2, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 0],\n [-1, 1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, 1],\n [-2, -3, -1],\n [3, 3, -2]], 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^2 and find the value at position (3, 2) of the result:\nA =\n[[3, 0, 1],\n [-1, -3, -1],\n [-2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [2, -2, 2],\n [0, 2, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [0, 3, -2],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 3, -3],\n [0, -1, -2],\n [0, 0, -1]]\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[[3, 2, 0],\n [0, -2, 2],\n [-3, -2, 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^2 and find the sum of all entries of the result:\nA =\n[[-2, 2, 2],\n [3, 0, 3],\n [1, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-1, 0, 3],\n [0, 1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[3, 0, -1],\n [0, -2, -2],\n [-1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, -3],\n [0, -3, 2],\n [0, 0, 0]]?\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 (1, 1) of the result:\nA =\n[[-1, -2, -2],\n [1, -2, 2],\n [-1, 0, 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^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 2, 2],\n [2, 2, -1],\n [2, -1, 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[[1, 3, 3],\n [0, 2, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 1, 3],\n [0, 1, -3],\n [0, 0, 3]]\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[[2, 0, 1],\n [0, 0, 0],\n [1, 0, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 1],\n [0, 1, -2],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -3, 2],\n [-1, 2, 0],\n [0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[3, 3, 3],\n [-1, -3, -1],\n [-2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, 3],\n [3, -2, 0],\n [0, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -1],\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": "-90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0],\n [0, -2, 0],\n [0, 0, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-2, -2, 2],\n [-2, -1, 1],\n [2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, 3],\n [0, 3, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, 0],\n [0, -2, 0],\n [0, 0, 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 2th power of the matrix:\n[[-3, -2, 2],\n [2, -1, -2],\n [-3, -2, 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[[1, -3, -2],\n [0, 2, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 1],\n [2, 0, -2],\n [0, 2, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 1],\n [0, -2, 2],\n [0, 0, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 1],\n [-2, 0, 1],\n [1, 0, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 2, 3],\n [-1, 0, -2],\n [-2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[3, 2, 2],\n [0, 3, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0],\n [3, -1, -1],\n [-1, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -1],\n [1, 0, -3],\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^2 where A =\n[[2, 0, -2],\n [0, -2, 2],\n [0, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 0],\n [-1, 1, 2],\n [3, -1, -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 value at position (1, 2) of the 3th power of the matrix:\n[[0, 2, -3],\n [0, 0, 0],\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[[2, -2, -2],\n [-3, 2, 3],\n [3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "257", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-1, -1, 1],\n [2, -3, -2],\n [1, 2, 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[[0, 0, 0],\n [0, -3, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 1],\n [1, -1, 0],\n [-1, -2, -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": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[3, -2, 1],\n [-2, 0, -2],\n [1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[0, -2, 1],\n [3, 0, -1],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\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": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, -3],\n [-2, 2, -3],\n [2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, -1],\n [-3, 1, 0],\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": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 2],\n [3, -2, 0],\n [1, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 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": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, -2],\n [0, 3, 3],\n [0, 0, 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 absolute values of all entries of the matrix A^2 where A is:\n[[3, 0, 1],\n [0, -1, -1],\n [1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 3, 2],\n [0, 0, 2],\n [0, 0, 1]]?\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 (1, 1) of the matrix A^3 where A is:\n[[3, -3, -2],\n [1, 2, 0],\n [-1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0],\n [-3, 0, -2],\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": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -1, 3],\n [-1, -3, 0],\n [3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, -1, 1],\n [-2, 1, 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[[-1, -3, -2],\n [3, 0, 0],\n [3, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 2],\n [1, -2, 1],\n [1, 3, 0]]?\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[[-2, 1, 2],\n [0, 1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 1, -1],\n [1, -3, 0],\n [-1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 0, 2],\n [0, -3, 2],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 1, -1],\n [-2, -2, 2],\n [2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, 2, -2],\n [2, 3, -1],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 3, 0],\n [3, -2, -2],\n [0, -2, -2]]?\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^2 where A is:\n[[-1, -2, 1],\n [0, 0, 3],\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^2 and find the value at position (3, 2) of the result:\nA =\n[[1, 0, 0],\n [0, -1, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, -2],\n [0, 2, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 2],\n [-1, 2, 2],\n [-2, -2, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -1],\n [-1, -3, 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": "239", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -1],\n [0, 2, -2],\n [0, 0, 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^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -2],\n [2, 1, 3],\n [0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 0],\n [-1, 0, 2],\n [0, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -3],\n [0, -3, 1],\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": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 3],\n [-2, 0, 2],\n [2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "471", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 0],\n [0, -2, -1],\n [0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, -2],\n [-1, 1, 2],\n [-2, 2, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 3],\n [0, -2, 2],\n [0, 0, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2],\n [0, -2, -3],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 0],\n [1, 2, 1],\n [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": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -1],\n [0, 2, -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": "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, -2],\n [2, -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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 1, -3],\n [-3, 0, 3],\n [1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -2],\n [2, 0, 2],\n [-2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 0, -3],\n [0, 0, 1],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -1],\n [2, -2, -3],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -1],\n [-3, -1, -3],\n [3, -2, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[3, 0, 2],\n [0, -2, -1],\n [2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 2],\n [0, -2, -1],\n [2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, -1],\n [-2, 1, -1],\n [-1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 1],\n [-3, 1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 3],\n [-2, 2, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 0],\n [1, -1, 3],\n [-3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, -3, -1],\n [1, -3, -1],\n [-2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, -2],\n [0, -2, 1],\n [-2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "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, -1, 1],\n [-2, 1, -1]]\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[[2, -1, 0],\n [-1, -1, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 0],\n [0, 2, 3],\n [2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, 1],\n [0, 0, -2],\n [0, 0, -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^2 where A =\n[[3, -2, 1],\n [-2, -2, -2],\n [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": "60", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, 0, 2],\n [0, 1, -2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, 0],\n [-2, 2, 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": "35", "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, 0],\n [0, -2, 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^2 and find the value at position (1, 3) of the result:\nA =\n[[-2, 0, -2],\n [0, 0, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, -1],\n [0, -3, 0],\n [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 all entries of the result:\nA =\n[[-3, 1, 0],\n [0, 2, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -1, 0],\n [-3, -1, 1],\n [-3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -2, -1],\n [2, 1, -2],\n [-1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, 2],\n [0, 2, 1],\n [2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, 1],\n [2, 1, 2],\n [3, -3, 0]]?\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, 3, 0],\n [0, 3, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 0],\n [0, -2, 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": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, -2],\n [-2, -3, -2],\n [-1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 3],\n [0, -1, -2],\n [1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, -3],\n [0, 2, 2],\n [-1, 1, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 3, 3],\n [0, 0, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -2, 1],\n [0, 3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-3, -1, 2],\n [0, -1, -2],\n [0, 0, 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[[1, 2, 1],\n [2, -3, 0],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -1, 0],\n [0, -3, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -1],\n [2, 1, 0],\n [-1, 0, 1]]\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 3th power of the matrix:\n[[-1, 1, 0],\n [1, 2, 1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 3, 0],\n [0, -2, -1],\n [-3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, 1],\n [1, 3, -2],\n [-1, -3, 2]]\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[[-2, 0, 0],\n [0, -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": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 2],\n [0, -3, -2],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, -2],\n [3, 3, 0],\n [-2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[2, -1, 0],\n [0, 3, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, 2],\n [0, 2, 1],\n [-3, 2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "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, -2, -1],\n [-2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 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": "100", "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 [-2, -3, 0],\n [-1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "307", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -3, 1],\n [-2, 2, 3],\n [-2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-1, 0, 3],\n [0, 2, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -3, 2],\n [0, 3, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -3, -2],\n [0, -2, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 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": "21", "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],\n [2, 3, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-2, -3, -2],\n [0, -2, -3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[0, 0, 0],\n [0, 3, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 0],\n [-3, 0, 2],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-2, 0, 1],\n [-1, -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 value at position (2, 1) of the matrix A^3 where A is:\n[[0, -1, 0],\n [-1, -2, 2],\n [0, 2, 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 absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -2],\n [-2, -2, 2],\n [-2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "594", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 1],\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": "9", "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 [0, 0, -3],\n [-3, -2, 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, 0, 0],\n [0, 2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[1, 0, 0],\n [0, 2, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[0, 3, -2],\n [3, -1, -2],\n [-2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 3, -3],\n [0, 3, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 0],\n [0, -1, -1],\n [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": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 2],\n [0, 0, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 3, 1],\n [-3, -1, -1],\n [2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-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": "-85", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 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": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[0, -1, -3],\n [0, 2, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-2, -2, 0],\n [-2, 3, 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 sum of all entries of the matrix A^3 where A is:\n[[3, -1, -1],\n [-2, -3, 3],\n [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 all entries of the result:\nA =\n[[0, 0, -1],\n [-3, -1, -3],\n [2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -2],\n [1, 3, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 0],\n [0, -1, -2],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 2],\n [0, 1, 0],\n [2, 0, 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^2 where A is:\n[[3, -1, 0],\n [-2, -3, -1],\n [-3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-2, 3, 3],\n [0, 3, -2],\n [0, 0, 0]]\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[[-1, 1, 2],\n [1, 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": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 2, 3],\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^3 where A is:\n[[0, -3, -1],\n [2, 1, 3],\n [-1, 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, 2],\n [0, 3, -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": "98", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-3, 3, 0],\n [0, -3, 0],\n [1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 1, -1],\n [1, 1, 2],\n [-1, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -3, 2],\n [-1, 0, -3],\n [1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[0, 0, 0],\n [-1, 1, 2],\n [3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, -2],\n [0, -2, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[3, 0, 0],\n [0, -2, -3],\n [0, 0, 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[[1, -3, -3],\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": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-2, 0, 0],\n [0, 1, -2],\n [0, -2, -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^2 where A =\n[[2, -2, 3],\n [0, 1, 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": "-6", "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, 3],\n [2, -1, -2],\n [3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 0],\n [-1, 0, -2],\n [0, -2, -3]]?\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, 3) of the 3th power of the matrix:\n[[2, 1, 3],\n [-2, 1, 1],\n [-1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 2, 0],\n [2, -1, 0],\n [0, 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^2 where A =\n[[0, 0, 2],\n [0, 1, -2],\n [2, -2, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 2],\n [-3, -2, 2],\n [2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "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, -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 (2, 3) of the matrix A^3 where A is:\n[[2, -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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, -2],\n [0, 3, -2],\n [-2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0],\n [2, -1, -2],\n [0, -2, -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 value at position (2, 3) of the result:\nA =\n[[-2, -3, 3],\n [-2, 0, -1],\n [-3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 1, 0],\n [0, -1, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 3, 0],\n [3, -3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, 2],\n [1, -2, 1],\n [2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, -2],\n [0, 3, 0],\n [-2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\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": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -3],\n [0, 2, 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": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 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": "193", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -1, -1],\n [0, 3, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -3, 3],\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": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-2, -1, -3],\n [0, -1, -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 all entries of the 3th power of the matrix:\n[[3, 3, -1],\n [0, 2, -2],\n [0, 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 all entries of the 2th power of the matrix:\n[[1, 2, 3],\n [-1, -1, -2],\n [1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, -3],\n [-3, -2, -3],\n [2, -2, -2]], 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 sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -1, 0],\n [-1, 2, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[0, -1, -1],\n [-2, 3, -3],\n [2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 1, -2],\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 all entries of the matrix A^2 where A is:\n[[1, 0, 2],\n [0, 0, -2],\n [2, -2, 2]]?\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 value at position (2, 2) of the result:\nA =\n[[1, 1, 0],\n [1, 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": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[2, -2, 0],\n [-3, -3, -1],\n [-2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, -2],\n [-1, 0, 1],\n [-2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 3, -2],\n [0, -1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 2],\n [0, -2, -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": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, -1],\n [0, 1, -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": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\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": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 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": "18", "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, -2, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 3, -1],\n [2, -3, 3],\n [2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-2, -1, 0],\n [-3, 2, -2],\n [-2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -1, 0],\n [-1, -2, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -2, 0],\n [3, 2, -2],\n [-2, -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, 1, 3],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-1, 2, 1],\n [0, 1, 2],\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[[0, -3, 3],\n [-1, 2, 1],\n [1, -1, 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 absolute values of all entries of the result:\nA =\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": "160", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 3],\n [1, 2, -2],\n [-1, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, -1],\n [0, -2, -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": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -1],\n [-1, 1, 0],\n [3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 2],\n [1, -1, 1],\n [2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 0],\n [0, 2, 0],\n [0, 0, 1]]\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^2 where A is:\n[[-3, -1, -1],\n [0, 3, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, 0],\n [3, 0, 1],\n [0, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, 0],\n [0, 1, 0],\n [0, 0, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, -2],\n [0, 1, 2],\n [0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 0, -1],\n [0, 2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -3, 0],\n [0, -3, 2],\n [0, 0, -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, 0, 0],\n [0, 0, 3]], 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": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-3, 2, 3],\n [0, -3, 3],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 1],\n [-3, -3, 0],\n [-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": "109", "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 [1, 1, 3],\n [-3, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "412", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -1],\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": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 1, -3],\n [0, -3, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[2, 3, 2],\n [0, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -2],\n [0, 1, 0],\n [-2, 0, 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^3 where A =\n[[0, 1, 1],\n [0, 2, 0],\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": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 3, 1],\n [-2, 0, 0],\n [-3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 3],\n [0, -2, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -3, 2],\n [3, -3, -3],\n [-2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-337", "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, -1, 0],\n [-1, 2, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[1, -1, 0],\n [-3, -1, 1],\n [3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 2],\n [0, -2, -2],\n [0, 0, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -3, 3],\n [0, 1, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 0],\n [-2, 0, 2],\n [-3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[0, 1, -2],\n [1, 0, 2],\n [-2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -1, -2],\n [-3, -2, -2],\n [0, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "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, -1],\n [-3, -2, -2],\n [2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[3, 1, -1],\n [2, 0, 1],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -1],\n [2, -1, -3],\n [-2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[1, 3, 3],\n [0, 0, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, -3, -3],\n [0, 3, 0],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, 0],\n [-2, 3, -2],\n [0, -2, 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^2 where A =\n[[-1, -3, -1],\n [0, -1, 1],\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": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, 1, 3],\n [-2, -1, 1],\n [-3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, 3],\n [0, 1, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, 3, -2],\n [-1, -2, -1],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, -2],\n [1, 2, 1],\n [-1, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [-1, -3, 3],\n [-2, 1, 0]], determine the value at position (2, 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^3 where A is:\n[[0, 0, 0],\n [0, -1, -1],\n [0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 3, 3],\n [0, -2, -1],\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 absolute values of all entries of the 3th power of the matrix:\n[[0, 2, -3],\n [2, -2, 0],\n [-3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-3, 0, 1],\n [0, -1, 1],\n [1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -3, 2],\n [0, 1, 3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -3],\n [0, -3, -2],\n [0, 0, -1]]\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 2th power of the matrix:\n[[2, 2, 1],\n [-2, -2, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, -1],\n [2, 0, 0],\n [-1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, -1],\n [3, 3, 0],\n [-1, 0, 3]], determine the sum of all entries.\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, 1) of the matrix A^3 where A is:\n[[1, 2, -3],\n [2, 2, -2],\n [-3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, 1],\n [0, -3, -1],\n [-2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 0],\n [0, -1, -1],\n [0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -2],\n [0, 3, -1],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, 2],\n [0, 3, -3],\n [0, 0, 1]], 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^3 where A =\n[[2, 3, 3],\n [2, -3, -2],\n [3, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "352", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 2],\n [2, 2, 0],\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": "506", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -3, -1],\n [1, -2, 0],\n [-3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "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 [-2, 0, 2],\n [3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -1],\n [-2, -3, 0],\n [-1, 0, 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 (2, 3) of the 3th power of the matrix:\n[[3, -1, 0],\n [-1, 2, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -1],\n [-1, 0, 0],\n [-2, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, 0],\n [1, -1, -1],\n [0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, -2],\n [0, -1, 0],\n [-2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, 0],\n [2, 3, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-3, 1, -3],\n [0, -3, -1],\n [-2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 0],\n [-1, 2, 0],\n [0, 0, -3]], determine the value at position (1, 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^3 where A =\n[[-2, 0, 1],\n [0, 2, -3],\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": "127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, 0, -1],\n [-1, -2, -1],\n [-1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -1],\n [0, -2, -1],\n [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[[1, 0, -1],\n [0, 1, 0],\n [-1, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 1],\n [0, -3, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, 3],\n [0, 2, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 3],\n [1, 0, -3],\n [-1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, 1, 3],\n [0, 2, -1],\n [-1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, 0],\n [0, -3, -2],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[1, 0, -2],\n [-2, 0, -3],\n [-2, 3, -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[[-1, -1, 0],\n [0, 3, 1],\n [0, 0, -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^2 where A =\n[[1, 1, 1],\n [2, 3, -3],\n [0, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 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": "252", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 3, 2],\n [0, 2, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 3],\n [0, 0, 3],\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": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 3],\n [0, 1, -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": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[0, -3, 1],\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 sum of all entries of the 2th power of the matrix:\n[[3, 1, 2],\n [1, 3, 0],\n [2, 0, -2]]\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, 3) of the matrix A^3 where A is:\n[[-1, -2, 1],\n [-1, -2, 3],\n [2, -3, 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^3 and find the value at position (2, 1) of the result:\nA =\n[[0, -2, -1],\n [-2, 1, 0],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, -1],\n [-3, 0, 2],\n [-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": "321", "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],\n [0, 2, 0],\n [3, 0, 0]]\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, 1],\n [0, 1, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 0],\n [3, -2, 2],\n [-3, 1, -2]], 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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, -1],\n [2, 3, 1],\n [0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -1],\n [0, 1, 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": "-13", "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 [1, -1, -1],\n [-2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, 0, 0],\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 all entries of the 2th power of the matrix:\n[[-2, 2, 2],\n [2, -2, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 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": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 0],\n [-2, 3, -2],\n [0, -2, 3]], determine the value at position (2, 2).\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 all entries of the result:\nA =\n[[-2, 0, -1],\n [0, 2, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -2],\n [1, -3, 2],\n [-2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 0],\n [1, 1, -1],\n [0, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[3, -1, -1],\n [3, 1, 1],\n [0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, -2],\n [2, 2, -1],\n [-2, -1, 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[[3, 3, -1],\n [0, 1, -3],\n [0, 0, 2]]\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[[-2, 0, -1],\n [0, 0, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0],\n [0, -1, 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": "44", "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, 0, -1],\n [0, 1, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\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": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, 1],\n [1, 3, 2],\n [-1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 2],\n [0, 0, 3],\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": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, 1],\n [0, 2, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, 2, 3],\n [0, -3, -3],\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^3 where A =\n[[0, -1, -2],\n [0, 2, -1],\n [2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -2, -2],\n [1, 1, 0],\n [-3, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 1, 3],\n [0, 3, -2],\n [0, 0, 2]]?\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, -1, -2],\n [-2, 0, -1],\n [-1, 3, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, 3, 0],\n [0, 2, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -3],\n [2, 2, -2],\n [-3, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\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": "138", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 3],\n [0, 0, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "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, 1, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -1, -2],\n [0, -3, 2],\n [3, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, -1],\n [-1, 3, 0],\n [-1, 0, -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^2 and find the sum of all entries of the result:\nA =\n[[-3, -2, 2],\n [3, -2, -2],\n [3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[3, 0, 2],\n [0, 3, -1],\n [2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, 1],\n [1, -2, -2],\n [3, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 1],\n [0, 0, 1],\n [1, 1, -1]]?\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[[3, 0, 0],\n [0, 2, -2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, 1],\n [0, -2, 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": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 3],\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": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, -2],\n [-1, -2, 1],\n [1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[0, -1, 0],\n [3, 1, 1],\n [2, 3, 0]]\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 value at position (3, 3) of the result:\nA =\n[[-3, -2, -2],\n [-2, -3, -2],\n [-2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 2],\n [3, 2, -3],\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": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-2, -1, -2],\n [-2, 0, 1],\n [1, -2, -3]]\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, 1) of the matrix A^2 where A is:\n[[3, -1, 0],\n [3, 1, 0],\n [-3, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, -1],\n [0, -3, 1],\n [0, 0, -2]]\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^3 where A is:\n[[-1, 3, -2],\n [-1, -2, 3],\n [0, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 1],\n [3, 0, 0],\n [2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "396", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 2, 1],\n [0, 1, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, -3],\n [0, 2, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[1, 2, 2],\n [2, 2, 1],\n [2, 1, 0]]?\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[[1, -2, 2],\n [-3, -3, -1],\n [1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "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 [-1, -3, -1],\n [-1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 3],\n [0, -3, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 0, -1],\n [-1, -2, -1],\n [1, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-1, -1, -1],\n [-2, 3, -3],\n [-1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, 1],\n [2, 0, 1],\n [1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-3, 2, -1],\n [2, 3, 0],\n [-1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, -1],\n [0, 0, 2],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, -2],\n [0, 2, -1],\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[[-3, 3, 3],\n [-1, 0, -3],\n [2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "282", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, 2, -2],\n [0, -2, 2],\n [1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -3],\n [3, -1, 2],\n [1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[1, -2, -2],\n [0, 0, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, 1],\n [0, 0, 3],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-1, -2, -1],\n [0, 3, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -2],\n [-2, 0, -2],\n [-2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "382", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, 1],\n [1, 0, -2],\n [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": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[3, 2, -2],\n [2, -3, 2],\n [-2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-2, -2, 1],\n [3, 0, 1],\n [-3, -2, -1]]?\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, 3) of the 2th power of the matrix:\n[[1, -1, -3],\n [0, 2, 3],\n [0, 0, -3]]\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 2th power of the matrix:\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": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 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": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, 2, -2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0],\n [2, -3, 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": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-2, 1, -3],\n [1, -3, 1],\n [-3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-1, 0, -1],\n [-2, 2, 2],\n [1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 3, 1],\n [-2, 0, -2],\n [0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, 0],\n [-2, -3, -2],\n [1, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, -2],\n [-3, 1, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-1, -2, -3],\n [0, -2, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 3, 0],\n [1, 3, 1],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 3, 1],\n [0, 0, 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^3 where A =\n[[1, -3, 0],\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": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 3],\n [2, 1, 0],\n [3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, 0],\n [-1, -3, 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": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 1],\n [0, -2, 1],\n [-2, -2, 2]], 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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, 1],\n [1, -2, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 3],\n [0, -1, 3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 3],\n [0, 1, -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": "15", "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, 2],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "259", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, 2],\n [0, -3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 1],\n [-2, 2, -3],\n [0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, 3],\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": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -1],\n [0, -1, 0],\n [-1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 2],\n [1, 0, 1],\n [3, 2, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -3, 0],\n [1, -1, 3],\n [2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, 3],\n [1, -3, 2],\n [-1, 3, -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^2 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, 0],\n [-2, 0, 2],\n [-2, 2, -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^2 where A =\n[[-2, -1, 2],\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": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 2],\n [0, 0, 0],\n [2, 0, -3]], 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": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 0, 0],\n [-1, -2, 1],\n [2, -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 2th power of the matrix:\n[[-3, 3, 2],\n [2, 3, 2],\n [-3, -2, 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^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, -1, 2],\n [-1, -1, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-2, 1, 2],\n [1, 2, -1],\n [2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 3],\n [1, 1, -2],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2],\n [-2, 0, -3],\n [-3, -1, 0]]\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[[3, -1, -3],\n [3, 2, -2],\n [1, 3, -3]], determine the value at position (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^2 where A is:\n[[0, -1, 0],\n [2, 1, -3],\n [2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 0],\n [0, 2, -1],\n [0, -1, -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 all entries of the matrix A^2 where A is:\n[[0, 2, -1],\n [0, 2, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-1, -3, 1],\n [0, 2, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 1],\n [0, 0, 1],\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": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[1, 1, -3],\n [-2, 3, 1],\n [0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -2],\n [3, -3, 0],\n [1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 1],\n [0, 1, 1],\n [1, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, -1],\n [0, 3, 2],\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": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 1],\n [-1, 0, 2],\n [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": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, -1, -1],\n [0, 1, 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 3th power of the matrix:\n[[3, 0, 0],\n [0, -1, -1],\n [0, -1, 0]]\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 (3, 1) of the matrix A^2 where A is:\n[[2, -3, 0],\n [-2, 3, 2],\n [-1, 0, -3]]?\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, -2, 0],\n [-1, -2, -2],\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": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, -1],\n [0, 3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0],\n [0, 0, -3],\n [0, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[2, 3, -2],\n [0, 1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 1],\n [1, -2, 0],\n [1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[3, -3, -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": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-3, 2, -3],\n [0, -1, 3],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, 2],\n [0, 1, -2],\n [2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -3],\n [0, 3, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, 1, -1],\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": "For the matrix power A^2 where A =\n[[-1, 1, 2],\n [3, -3, 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": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 3, 1],\n [3, -3, 1],\n [1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0],\n [2, -3, -2],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, -3],\n [0, 0, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -3, 2],\n [0, 3, 3],\n [2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "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, -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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 2],\n [-1, 3, -1],\n [2, -1, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -3],\n [0, 3, -2],\n [3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -1, 0],\n [-1, -1, 0],\n [0, 0, 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, 2) of the 2th power of the matrix:\n[[0, 0, -1],\n [0, 1, -2],\n [-1, -2, -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^2 where A =\n[[-1, 0, 2],\n [0, 0, 2],\n [2, 2, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, -2],\n [0, 2, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, -3],\n [-2, 2, 3],\n [0, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "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 [0, -2, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2],\n [0, 3, -1],\n [2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 1],\n [0, 0, -1],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -1],\n [0, -1, 2],\n [-1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, 3],\n [-2, -1, 0],\n [3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, -1],\n [-1, -3, -1],\n [-1, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -2],\n [0, 3, 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": "69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -1],\n [-2, -2, 1],\n [0, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, 2, 0],\n [2, 1, 2],\n [0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 2],\n [0, -2, 2],\n [0, 0, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum 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": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 2],\n [0, 0, -1],\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 sum of all entries of the matrix A^2 where A is:\n[[0, -2, -2],\n [-2, -2, 0],\n [-2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, -1],\n [0, -3, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[1, -3, 2],\n [0, 3, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0],\n [0, -2, -1],\n [0, -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^3 where A is:\n[[-2, -1, 2],\n [1, 0, -2],\n [0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[3, 0, 1],\n [0, -2, 2],\n [1, 2, -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[[0, 0, 1],\n [-1, 3, 3],\n [-2, 1, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, -2],\n [0, 3, 2],\n [-2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 2],\n [2, 1, -2],\n [2, -2, -3]], determine the value at position (3, 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^2 where A is:\n[[2, -3, -1],\n [2, 3, -3],\n [-1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 2, -1],\n [-2, 3, -2],\n [-3, 0, 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^2 where A is:\n[[1, -3, -1],\n [0, -1, -3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 2, 3],\n [3, 1, 3],\n [3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, -3],\n [0, 3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 2],\n [0, -2, 0],\n [2, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[1, -1, 1],\n [-1, 1, 1],\n [2, -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, -2, 0],\n [-2, -2, 0],\n [0, 0, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[0, -1, 0],\n [0, 2, 1],\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 sum of all entries of the 2th power of the matrix:\n[[2, -2, 0],\n [-2, -1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -1],\n [2, 1, 0],\n [3, 0, -2]], determine the value at position (3, 3).\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[[-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": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, 2],\n [-2, -1, 2],\n [-3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 3, 1],\n [0, 1, 2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 1],\n [0, 3, 2],\n [1, 2, -2]], 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": "For the matrix power A^2 where A =\n[[1, 0, -3],\n [0, 0, 0],\n [-3, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "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 [-3, -1, 2],\n [-3, 3, 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 (1, 3) of the 2th power of the matrix:\n[[1, -2, 0],\n [-2, 0, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 0],\n [0, 2, 0],\n [0, 0, 0]], 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": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, -1, 1],\n [0, 3, 3],\n [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 value at position (3, 2) of the result:\nA =\n[[2, -1, 0],\n [0, -2, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 0],\n [1, 1, -2],\n [-3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, -2],\n [0, 0, 2],\n [0, -2, 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": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-2, -2, 1],\n [3, -2, 2],\n [-3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 1, -3],\n [-3, -2, -2],\n [0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[-3, -2, -3],\n [-3, 3, 1],\n [-3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 0],\n [2, -3, 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": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -3, 3],\n [0, 1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0],\n [0, -1, 0],\n [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 sum of all entries of the matrix A^3 where A is:\n[[0, -2, 3],\n [-1, 0, 0],\n [3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 2],\n [0, 1, -3],\n [0, 0, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -3],\n [1, -1, 0],\n [3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -2, 2],\n [-2, 3, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -1, -3],\n [0, 2, 3],\n [0, 0, 1]]?\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[[0, 1, 1],\n [0, -3, 2],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -2],\n [0, -2, -2],\n [0, 0, -1]], 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": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 1, -3],\n [0, -2, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 2],\n [3, 3, -2],\n [2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 0],\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": "6", "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, 1],\n [3, -3, 3],\n [3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, -1],\n [0, -2, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, 3],\n [0, -3, -3],\n [0, 0, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 2],\n [-2, 3, -3],\n [2, -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^2 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0],\n [-2, 2, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, -1],\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": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, -3],\n [1, 2, -1],\n [1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[0, -2, 0],\n [-2, -1, 2],\n [0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, -2],\n [-1, 0, 0],\n [-2, 0, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -2, -2],\n [-3, 0, 1],\n [-2, 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 sum of absolute values of all entries of the result:\nA =\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": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -2],\n [0, 2, -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": "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[[-1, 2, 3],\n [2, -1, 2],\n [3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 1],\n [-2, -3, 2],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "386", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 0],\n [0, 0, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 2, 0],\n [2, -1, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, 0],\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": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[0, 0, 0],\n [0, 2, 1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, 0],\n [-3, 0, -3],\n [-2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[0, -1, 1],\n [0, 1, -2],\n [0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 2, 1],\n [0, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 2],\n [-1, -3, 1],\n [2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-1, 0, 0],\n [0, -3, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-3, -2, 0],\n [0, 3, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 3],\n [0, -3, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 1],\n [-1, 3, 0],\n [-3, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "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, 1, 2],\n [0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[2, -1, -2],\n [3, 1, -1],\n [-2, 2, -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^2 where A is:\n[[-2, 0, 3],\n [0, -1, 0],\n [3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-3, -2, 1],\n [-1, 1, 3],\n [-3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 3],\n [0, 0, 0],\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": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 1],\n [-1, -1, 0],\n [2, 1, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 2, -1],\n [2, 2, 1],\n [-2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -3, 0],\n [0, 1, -1],\n [1, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -3],\n [3, -3, -2],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "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 [0, 3, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 2],\n [-3, 0, -3],\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": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, -2, -2],\n [0, 3, -3],\n [0, 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^2 where A =\n[[3, 0, -2],\n [0, 3, 2],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -2],\n [-2, 1, 2],\n [-2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -3, -1],\n [0, 0, -2],\n [0, 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 value at position (1, 1) of the result:\nA =\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": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -1],\n [-2, -2, -1],\n [-1, -1, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -1, 2],\n [0, -3, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 2, 0],\n [2, 1, 3],\n [0, 3, 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^2 and find the value at position (1, 3) of the result:\nA =\n[[0, 3, 3],\n [0, -3, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 0, 2],\n [0, -2, 3],\n [0, 0, -2]]?\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^3 where A is:\n[[-1, -2, -1],\n [0, -2, 1],\n [3, -3, 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^3 where A is:\n[[0, 0, -2],\n [-1, -2, 1],\n [0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 3, 1],\n [0, 2, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[0, -1, 0],\n [-1, -2, 0],\n [-2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -1],\n [0, -3, 2],\n [-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": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, 3, -3],\n [2, 0, 2],\n [-1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -1, 1],\n [0, -2, -1],\n [0, 0, 0]]\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, 0, -1],\n [0, -1, -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": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -1],\n [-2, 1, 1],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "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 [0, 3, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -2, -3],\n [3, -1, -1],\n [-3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, 1],\n [1, 2, 0],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -2],\n [0, -1, 2],\n [-2, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, 0, 2],\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": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 2, 2],\n [2, 3, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 1, 0],\n [0, -1, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [0, -2, 0],\n [-2, 0, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 0],\n [-2, 2, 0],\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": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-3, -2, 0],\n [-2, -1, -3],\n [0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 0],\n [-1, 0, -1],\n [2, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -2],\n [0, 1, -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": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, -1],\n [0, 3, 0],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, 3, 0],\n [0, -2, -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^2 and find the value at position (2, 2) of the result:\nA =\n[[-3, -1, 2],\n [-1, 1, 2],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, -2],\n [1, 1, 2],\n [-2, 2, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, -2],\n [3, 3, 2],\n [0, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "252", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[3, -3, 3],\n [3, 1, 3],\n [-2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 2],\n [-2, -1, 0],\n [2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 3, 0],\n [1, 1, 0],\n [1, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "201", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -1, 3],\n [3, -1, 3],\n [-1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -2, -1],\n [-1, 1, -2],\n [-3, -3, 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 (3, 1) of the 2th power of the matrix:\n[[2, 0, -2],\n [0, -2, -1],\n [-2, -1, 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^3 where A is:\n[[3, 0, 1],\n [0, 1, 1],\n [1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "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, -2],\n [-2, -2, 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 all entries of the matrix A^2 where A is:\n[[-3, 0, 1],\n [0, 1, 0],\n [1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[1, 0, -2],\n [0, 3, 2],\n [-2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[2, 2, 0],\n [2, 3, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -2],\n [0, 2, -2],\n [-2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, 3, 2],\n [0, -1, -3],\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 (2, 2) of the 2th power of the matrix:\n[[2, 1, -3],\n [0, -2, -1],\n [0, 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[[-3, -3, 3],\n [0, 0, -1],\n [-2, 0, -2]], 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 value at position (1, 2) of the 2th power of the matrix:\n[[-1, -1, 2],\n [0, -1, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -2, 2],\n [0, 1, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 2],\n [-2, 3, 2],\n [2, 2, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -1],\n [0, -2, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, -1, 2],\n [-1, -1, -1],\n [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[[-1, 0, 3],\n [-2, 1, 1],\n [0, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^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": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-3, 3, -1],\n [-1, 2, -3],\n [1, -2, -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^2 where A is:\n[[0, -1, -2],\n [0, -1, 3],\n [0, 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 2th power of the matrix:\n[[1, 2, 2],\n [2, -3, 2],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, -2],\n [1, -1, 0],\n [-2, 0, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, 0],\n [-1, 1, -1],\n [0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 3],\n [0, -2, -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": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, -1],\n [2, 2, 1],\n [-1, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, 2],\n [1, 3, -2],\n [-1, 1, 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 0, -2],\n [0, 2, -1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, 0],\n [-1, -3, 0],\n [0, 0, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, -2, 3],\n [0, -1, 1],\n [0, 0, -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 2th power of the matrix:\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": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, -2],\n [0, 3, 0],\n [-2, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -1],\n [0, 0, -2],\n [-1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 0],\n [2, 1, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "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, -3, 2],\n [0, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -3],\n [-2, -3, 2],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 2, 0],\n [2, 2, 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 sum of all entries of the 3th power of the matrix:\n[[0, -2, -3],\n [-2, 2, -1],\n [-3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-282", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -2],\n [0, -2, 3],\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": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 2, 0],\n [0, 2, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, 2, 1],\n [0, 0, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, -2],\n [0, 1, -1],\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^2 where A is:\n[[-3, 0, 1],\n [0, 0, 1],\n [1, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 3, -3],\n [1, 1, -1],\n [3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 2],\n [-2, 3, -1],\n [0, -1, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 0],\n [2, -2, 0],\n [0, 0, -3]]\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 2th power of the matrix:\n[[-3, 0, 0],\n [0, 3, 2],\n [0, 2, 3]]\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 value at position (2, 3) of the result:\nA =\n[[-2, -1, 0],\n [-1, -1, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, 1],\n [0, 3, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -2],\n [2, -3, 1],\n [-2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 3],\n [-2, -2, -3],\n [0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "329", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 3],\n [1, -2, 0],\n [-2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[0, -3, -3],\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": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[2, 1, 0],\n [1, -1, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -3],\n [3, 2, 1],\n [-1, 3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "219", "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 [-1, -2, 1],\n [1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, -2],\n [-2, 1, 0],\n [-2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -3, -3],\n [0, 1, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -1, -1],\n [-1, 0, 0],\n [-1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -1, -3],\n [0, 0, -2],\n [0, 0, 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[[-1, 0, 2],\n [0, -2, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, -2],\n [-3, -3, 3],\n [-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": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, 1, 3],\n [0, 1, 2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 2],\n [2, 0, -1],\n [2, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -1],\n [-2, -2, -2],\n [-1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "236", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 2],\n [0, -1, 1],\n [0, 0, -3]]\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[[3, -1, 2],\n [3, 3, 0],\n [-2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "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, 0],\n [-2, -3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-1, -2, 3],\n [0, 1, -1],\n [0, 0, -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 3th power of the matrix:\n[[1, 0, 1],\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[[1, -3, 2],\n [0, 1, -2],\n [0, 0, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, 2],\n [0, -3, -1],\n [2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, 0, 0],\n [0, -2, -1],\n [0, -1, -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, 1, 1],\n [0, 3, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[1, -1, -1],\n [-3, -1, 2],\n [3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 1],\n [0, 3, 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": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, 2, 2],\n [0, 1, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 1],\n [-1, 1, 2],\n [-3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2],\n [0, -1, 0],\n [-2, 0, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -3, 0],\n [0, 2, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -3, 3],\n [0, 1, 1],\n [0, 0, 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^2 where A =\n[[3, 2, -2],\n [0, -1, 2],\n [0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, 1],\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": "Calculate the matrix power A^3 and find the value at position (2, 1) 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": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -1, 0],\n [-1, -2, -1],\n [0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 2],\n [-3, 1, -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": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -1, 0],\n [0, 3, 2],\n [-1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[0, -3, -2],\n [0, -1, 0],\n [0, 0, -3]]\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[[1, 0, -1],\n [0, -3, -3],\n [-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": "258", "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, -2],\n [0, -3, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -3, 0],\n [1, -2, 1],\n [0, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 1, -1],\n [1, -2, 0],\n [-1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 3, 2],\n [-1, 3, -1],\n [0, -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, 2, -1],\n [0, 0, -1],\n [0, 0, -3]], determine the value at position (1, 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[[-3, 0, 2],\n [0, 3, 2],\n [2, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -1],\n [0, 3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\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": "95", "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, 1],\n [-1, 1, 0],\n [1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 1],\n [2, 3, 3],\n [-3, -3, -3]], determine the value at position (3, 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^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 1],\n [-1, -2, 0],\n [-1, 3, 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 value at position (3, 3) of the result:\nA =\n[[3, 1, 2],\n [0, 0, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, -1, 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": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 3, 0],\n [-1, -2, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0],\n [1, -1, 0],\n [0, 0, -3]], 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": "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 [0, 3, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-2, 0, 0],\n [0, 2, -2],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 2],\n [0, 1, 0],\n [2, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[3, 3, 3],\n [0, -1, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 2, 0],\n [3, 1, -1],\n [-1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\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": "115", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 0],\n [-2, -3, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -3],\n [0, 2, 0],\n [3, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-3, 3, -2],\n [0, -3, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 2],\n [2, 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": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[1, -1, 0],\n [-1, -3, -2],\n [0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, -1],\n [0, -2, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 0],\n [-1, -1, -1],\n [0, -1, 3]], 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": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, 2, -2],\n [2, -1, 0],\n [-2, 0, 3]]?\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, 3) of the matrix A^2 where A is:\n[[-3, 0, -2],\n [0, 0, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 0],\n [0, 1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, -3],\n [-1, -1, 3],\n [-3, 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^3 and find the value at position (2, 3) of the result:\nA =\n[[3, 0, 0],\n [0, 0, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, 2],\n [-1, -3, -2],\n [-3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0],\n [-1, 2, 2],\n [0, 2, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 2],\n [0, -3, 0],\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": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[2, -3, 3],\n [-3, 2, -1],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 3],\n [0, 1, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, 1],\n [0, 3, 3],\n [0, 0, -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^2 where A =\n[[3, 0, 2],\n [0, 2, -2],\n [0, 0, -2]], determine the value at position (1, 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^3 where A is:\n[[-1, -1, -1],\n [0, 0, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, -1],\n [0, 1, -2],\n [-1, -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^2 and find the value at position (2, 2) of the result:\nA =\n[[3, -3, 1],\n [0, 0, -2],\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^3 and find the value at position (1, 2) of the result:\nA =\n[[1, 2, -3],\n [0, -1, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[0, 0, 0],\n [0, 3, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -1],\n [1, 0, -2],\n [2, 3, -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, 1) of the matrix A^2 where A is:\n[[0, -1, -3],\n [-1, 1, 2],\n [-2, 3, -3]]?\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 (1, 3) of the matrix A^2 where A is:\n[[0, 0, -3],\n [1, -1, 3],\n [2, -1, -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, 2) of the 2th power of the matrix:\n[[0, 0, -1],\n [-2, -2, -3],\n [2, 3, 1]]\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[[-2, -3, -1],\n [0, 0, -2],\n [0, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, -1],\n [0, 0, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, 0],\n [3, 3, 2],\n [3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "533", "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, 0, -2],\n [0, 3, 2],\n [-2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -1, -2],\n [0, -1, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 1, -3],\n [0, 2, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -2],\n [0, 1, -2],\n [0, 0, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -2, -1],\n [0, 1, -3],\n [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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, 2],\n [2, 0, 1],\n [2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, -2, 3],\n [0, -3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-1, -2, -2],\n [-2, -2, 0],\n [-2, 2, -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 3th power of the matrix:\n[[3, 0, 0],\n [0, 1, 0],\n [0, 0, 2]]\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[[-3, -2, 1],\n [3, 3, -3],\n [3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -3],\n [-3, -1, -1],\n [2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, -1, 0],\n [0, 1, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 2],\n [0, 0, -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": "75", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[3, -2, 1],\n [0, -3, 0],\n [0, 0, -2]]\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[[-3, -3, -1],\n [-2, 0, 2],\n [2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "223", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 0],\n [0, 3, -2],\n [0, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[3, 2, 1],\n [0, -2, 3],\n [0, 0, -3]]\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^3 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": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-1, 0, 0],\n [0, 1, -2],\n [0, -2, 2]]\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, 2) of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, -1, 2],\n [0, 2, -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[[-1, 1, 2],\n [-3, 3, -3],\n [1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-3, 0, 1],\n [0, -2, 2],\n [0, 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 all entries of the matrix A^3 where A is:\n[[-1, 0, -2],\n [0, 3, -1],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 0, -3],\n [0, 0, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -3, 1],\n [-3, 0, -1],\n [-3, 2, 0]]?\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 (2, 2) of the matrix A^2 where A is:\n[[-2, 2, -3],\n [2, 2, 0],\n [-3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 1],\n [1, 2, -3],\n [-2, 1, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 0],\n [2, 0, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, 3, 1],\n [3, -3, -2],\n [-1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, 3],\n [-3, 2, 2],\n [3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "587", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 3, -3],\n [0, 3, -3],\n [-3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "736", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 2, 0],\n [0, 1, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 1, -3],\n [0, 1, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2],\n [0, 0, 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": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 2],\n [2, 2, -1],\n [2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 3],\n [1, 2, 0],\n [-2, 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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 2],\n [0, -2, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 1, 0],\n [1, 2, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-2, -1, 0],\n [0, -3, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, 3],\n [0, -1, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, -2],\n [0, 0, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries 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": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 1],\n [-2, 3, -3],\n [3, -2, 3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -2],\n [-2, -3, 1],\n [0, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -1, 1],\n [1, -2, 1],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, -2],\n [0, -3, -2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-261", "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 [1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 1, 2],\n [2, 2, -2],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, 3],\n [0, -3, -1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 1, -1],\n [0, -2, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, -2],\n [-2, -2, 0],\n [-2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-3, 1, 3],\n [0, -2, 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^3 where A =\n[[-1, -2, 3],\n [3, 2, -1],\n [-3, 3, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 0, 2],\n [0, 1, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[3, 3, 1],\n [3, 2, 0],\n [1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 0],\n [0, 1, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 3],\n [-3, -1, 1],\n [1, 3, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 1],\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": "Calculate the matrix power A^2 and find the value at position (1, 2) 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": "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, 0, 0],\n [0, -1, 1],\n [0, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, 2, 0],\n [2, 3, 1],\n [0, 1, 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 (2, 2) of the matrix A^3 where A is:\n[[3, 0, 3],\n [0, -1, 1],\n [0, 0, 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 2th power of the matrix:\n[[-1, 1, -1],\n [0, 1, 2],\n [0, 0, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -3],\n [-3, 1, -3],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 1, 3],\n [2, 1, 1],\n [-2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, -3],\n [-2, 1, -2],\n [2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "129", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 3, -2],\n [0, -1, -1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 1],\n [3, 1, 3],\n [-2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "349", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 1],\n [-3, -2, 1],\n [1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 0],\n [2, 3, 2],\n [0, 2, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, -2, -2],\n [-2, -3, -3],\n [-2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -1, -3],\n [0, -2, 3],\n [0, 0, -2]]?\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 2th power of the matrix:\n[[-1, -2, 0],\n [-2, 2, -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 sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 2, -2],\n [0, 2, 2],\n [-1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[0, -3, 1],\n [-3, 2, 2],\n [-1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[1, -1, 0],\n [-1, -3, 0],\n [0, 0, 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[[2, 1, -1],\n [3, -2, 3],\n [1, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\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": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 0],\n [2, 0, 0],\n [0, 0, 2]], 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^3 where A =\n[[0, -2, -3],\n [0, 3, -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": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, 0, -3],\n [3, -3, 2],\n [-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 sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -3],\n [0, 0, -3],\n [-2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-435", "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, 1],\n [0, -1, 0],\n [0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, -2],\n [0, 2, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-3, -1, -1],\n [0, -3, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [0, 0, 0],\n [-2, 0, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 3],\n [0, -1, 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": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -3, 1],\n [-3, 3, -2],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-3, 2, -1],\n [1, 0, 0],\n [-2, -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 3th power of the matrix:\n[[-3, -3, -2],\n [0, -3, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-138", "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, 0, -3],\n [-3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -1, -2],\n [-1, 2, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 1],\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": "-1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -1],\n [0, 1, 0],\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": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, -3],\n [0, -1, -1],\n [-1, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, 1],\n [-2, 0, -2],\n [2, -3, 0]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, -1],\n [0, -2, 1],\n [0, 0, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, -2],\n [0, 2, -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": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, -1],\n [-3, 3, -2],\n [2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 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": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-3, 1, 0],\n [0, 1, 0],\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^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, 0],\n [0, 2, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 3, 3],\n [0, 1, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, 2, -2],\n [-3, 0, 0],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -2, 1],\n [-2, 2, 2],\n [1, 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 absolute values of all entries of the 2th power of the matrix:\n[[0, 0, -2],\n [0, -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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, 3],\n [0, 2, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, -2],\n [0, -1, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, 0],\n [-2, 2, 3],\n [0, 3, -3]]?\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 all entries of the result:\nA =\n[[3, -1, 0],\n [-1, -2, -2],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -3],\n [0, 1, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -2],\n [-1, -3, 2],\n [-3, -3, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\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": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, 0],\n [2, -3, -1],\n [0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "285", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 0, 1],\n [0, 1, -1],\n [2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -3, 3],\n [2, 2, 1],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 1, 2],\n [1, 1, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, 3, 0],\n [0, 0, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 2],\n [2, 3, 2],\n [2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0],\n [0, -2, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -1, 1],\n [0, 1, -1],\n [0, 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[[0, -3, -1],\n [0, 2, -3],\n [0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, -2],\n [2, 0, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "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, 2, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 0],\n [0, -2, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, -1],\n [-3, 1, -1],\n [-2, 2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 2],\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": "109", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-1, -1, -3],\n [0, -2, -1],\n [0, 0, -2]]\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[[-3, 0, 0],\n [0, -1, 0],\n [0, 0, 0]]\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 2th power of the matrix:\n[[3, 0, 0],\n [0, 0, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, 2, 2],\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": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 1, 1],\n [-2, 3, -3],\n [1, -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 (2, 1) of the 2th power of the matrix:\n[[0, -2, 2],\n [0, -2, 3],\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[[2, 0, -3],\n [-2, 1, -3],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, 3],\n [0, -2, -3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, -2],\n [0, -2, -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": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, -3, -1],\n [-3, -2, 0],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0],\n [-1, -2, -2],\n [2, -2, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-2, -1, -2],\n [-1, -2, 0],\n [-2, 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 value at position (1, 2) of the result:\nA =\n[[-3, -2, 0],\n [-2, -2, 0],\n [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 value at position (1, 1) of the matrix A^2 where A is:\n[[3, -3, 2],\n [0, -1, 2],\n [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 value at position (1, 3) of the matrix A^3 where A is:\n[[-2, 1, 2],\n [0, -2, -1],\n [2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 1],\n [0, 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": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -1],\n [2, 2, 2],\n [-1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -2],\n [0, -1, 0],\n [-2, 0, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0],\n [2, 1, 0],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, 3],\n [2, 0, 2],\n [3, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 1],\n [0, 1, 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": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[1, 0, -3],\n [0, 3, 2],\n [-3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -1],\n [-3, -3, -2],\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": "75", "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 [2, 1, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, -2, 0],\n [0, 0, 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 (2, 2) of the matrix A^2 where A is:\n[[-1, 1, 0],\n [3, -2, -2],\n [1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, -2],\n [0, -3, 3],\n [3, 0, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, -2],\n [0, 2, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[2, 2, 0],\n [2, 1, -2],\n [0, -2, -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^2 where A =\n[[2, 2, 2],\n [0, 1, 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": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[0, 0, -1],\n [0, 3, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, -3],\n [0, 0, 2],\n [-3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "546", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-2, -2, -3],\n [0, 3, 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 absolute values of all entries of the matrix A^2 where A is:\n[[-3, 3, 2],\n [2, 3, 1],\n [-3, -3, 3]]?\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 (3, 2) of the matrix A^3 where A is:\n[[-3, -2, 2],\n [-3, -1, 3],\n [1, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 1, -2],\n [0, -2, 0],\n [3, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-1, -1, 2],\n [-3, 3, 1],\n [3, 2, 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^2 where A =\n[[3, -3, 2],\n [2, -1, -3],\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": "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[[1, 2, 0],\n [2, 3, -1],\n [0, -1, -3]]\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^3 where A is:\n[[3, -3, -1],\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": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -3, -3],\n [0, 0, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, 2],\n [0, 2, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, -2, -2],\n [-2, 3, 2],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [-2, 2, -2],\n [-2, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, 0],\n [0, 0, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-3, -3, -2],\n [-1, -1, 2],\n [2, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, 1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, 0],\n [2, 1, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -2],\n [0, 2, 3],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -3],\n [0, 1, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th 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": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -2],\n [0, 1, -2],\n [-2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-290", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, 0],\n [-2, 2, 2],\n [0, 2, 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 sum of absolute values of all entries of the result:\nA =\n[[1, 1, 0],\n [1, 1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 2],\n [1, 1, 2],\n [-2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, -3],\n [0, -3, -2],\n [-3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -1],\n [0, -1, -2],\n [-1, -2, -2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 2],\n [0, 2, 1],\n [0, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 2],\n [1, -1, -2],\n [3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 0, -1],\n [0, -2, 2],\n [-1, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -1, -3],\n [0, -3, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[2, -2, 0],\n [3, -3, 0],\n [2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[2, 3, -3],\n [0, 2, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2],\n [3, -1, 3],\n [2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0],\n [1, 2, 1],\n [0, 1, 2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, -2],\n [2, 2, 1],\n [-2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-1, -1, -1],\n [-1, -1, 0],\n [-1, 0, -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[[0, -3, -2],\n [0, 0, -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": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[1, -2, 1],\n [-2, 1, 3],\n [1, 3, -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 3th power of the matrix:\n[[3, -2, 0],\n [-2, 2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 3],\n [0, -2, -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": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, -1, 0],\n [-3, -2, 2],\n [3, -3, -2]]\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, -3, -3],\n [0, 0, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, 0, 2],\n [0, -3, -2],\n [0, 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^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0],\n [2, -1, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[1, -2, 1],\n [-2, 3, 3],\n [-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 absolute values of all entries of the 2th power of the matrix:\n[[3, -2, -3],\n [0, -2, 0],\n [1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[2, -1, -3],\n [1, -3, 0],\n [-2, -3, -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, 1, 2],\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": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, 2, 0],\n [-3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -1],\n [3, 0, -2],\n [-1, 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, -1, 3],\n [1, 1, 1],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 0],\n [-2, 3, 1],\n [-3, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-1, -2, 0],\n [0, -3, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, 1],\n [3, -3, 0],\n [1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 0],\n [2, -3, 0],\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": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 3],\n [0, 2, 3],\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": "36", "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, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 0],\n [0, -1, 2],\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": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[1, -1, -1],\n [-1, -1, 2],\n [-1, 2, -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[[2, 0, -1],\n [0, 2, 1],\n [0, 0, -1]]?\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, -1, 1],\n [-3, -1, 3],\n [2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, -2, 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 sum of all entries of the 3th power of the matrix:\n[[2, 2, 0],\n [2, 3, 1],\n [2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, -2],\n [1, 2, 1],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[0, -1, 0],\n [-1, 1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[3, -3, 2],\n [0, -1, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -3, 1],\n [2, 2, 2],\n [-3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 1],\n [2, -2, -2],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 2],\n [-2, -3, 1],\n [-3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, 2],\n [-2, 2, 0],\n [2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, 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": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 3],\n [2, -2, -2],\n [0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, -3],\n [-1, 0, 0],\n [-3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-325", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[2, -2, 1],\n [-2, 0, -1],\n [1, -1, 0]]\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[[-2, -3, 1],\n [-3, 3, 0],\n [1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0],\n [-2, -1, 0],\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": "171", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 0],\n [0, -3, -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": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -2],\n [3, -3, -3],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "236", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 3, 0],\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": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[0, 1, 1],\n [1, 1, 3],\n [0, 3, 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^3 and find the value at position (1, 2) of the result:\nA =\n[[3, 3, 2],\n [0, -1, -1],\n [0, 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[[-2, -3, -3],\n [0, 0, 2],\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": "26", "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 [0, -2, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 3],\n [0, 2, 2],\n [3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[0, 1, -3],\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": "For the matrix power A^3 where A =\n[[2, -1, -3],\n [-3, 2, 3],\n [-3, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -2, -2],\n [-2, 1, 1],\n [-2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, -3],\n [0, 3, -3],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 2],\n [0, 0, -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": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -1, 1],\n [-3, -1, 2],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 0],\n [-1, 1, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 0],\n [1, -1, 1],\n [0, 2, 3]], determine the value at position (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 (2, 3) of the 2th power of the matrix:\n[[1, 0, 1],\n [0, 1, -2],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [0, 3, 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": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[3, -3, 2],\n [-1, -2, 0],\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 (2, 3) of the 2th power of the matrix:\n[[-3, 0, -2],\n [0, 2, 0],\n [-2, 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^3 and find the sum of all entries of the result:\nA =\n[[1, 0, -2],\n [0, 2, 2],\n [-2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, -1, 3],\n [-2, 1, 1],\n [3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 1],\n [0, 3, -3],\n [0, 0, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-3, -1, 3],\n [0, 1, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 2],\n [0, 3, -2],\n [0, 0, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -2],\n [-1, -2, 0],\n [-2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-290", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 2],\n [-1, 2, -2],\n [-3, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 0],\n [1, -1, -2],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 1],\n [0, 2, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -2, 2],\n [1, -3, 2],\n [-3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, 1],\n [-2, -1, -2],\n [1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, 1],\n [2, 2, -1],\n [-2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 0, 0],\n [1, -1, -1],\n [2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-3, 3, 3],\n [0, 3, 0],\n [-2, -3, 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^3 and find the sum of all entries of the result:\nA =\n[[1, 1, -2],\n [1, -2, -2],\n [-2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-2, 3, 0],\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": "For the matrix power A^2 where A =\n[[3, 0, -2],\n [0, -2, 0],\n [-2, 0, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 0],\n [0, 1, -1],\n [0, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[0, 0, -2],\n [0, 0, -2],\n [-2, -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^2 and find the sum of all entries of the result:\nA =\n[[3, 2, 1],\n [0, -1, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 0],\n [1, -3, 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": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0],\n [0, 3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, -3],\n [-1, -2, 1],\n [-3, 1, 2]], 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^3 where A =\n[[1, 0, -3],\n [0, -2, 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": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -1, 0],\n [-1, -2, 0],\n [0, 0, -3]]?\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 3th power of the matrix:\n[[0, 0, 3],\n [3, 3, 1],\n [-1, -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 3th power of the matrix:\n[[-3, 0, -2],\n [0, 0, 0],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 0],\n [0, 0, 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^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 2],\n [0, -1, 1],\n [0, 0, 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[[1, 0, -1],\n [0, -1, -2],\n [-1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [0, 2, 0],\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": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, -2],\n [0, 1, -3],\n [0, 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": "For the matrix power A^2 where A =\n[[-2, 2, -1],\n [0, -3, -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": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -1],\n [-1, -2, 0],\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": "-20", "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 [3, 0, -1],\n [2, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -2],\n [-2, 2, 0],\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": "125", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[0, 1, 2],\n [-3, -2, -3],\n [3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, 3],\n [0, -2, 0],\n [0, 0, -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^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, 1],\n [0, -2, 1],\n [1, 1, -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, 0, 0],\n [0, 3, 0],\n [0, 0, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, 2],\n [3, 1, 2],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 3],\n [0, -1, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, -3],\n [-3, 0, -2],\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": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -2, -3],\n [1, -3, 3],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, 1, -3],\n [1, -3, 2],\n [-3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, -2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, -2],\n [-3, 0, 3],\n [1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 2, 2],\n [2, 3, 0],\n [2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 1],\n [-2, 3, 3],\n [3, 3, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 0],\n [0, 2, -1],\n [0, -1, 0]], 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 0, -1],\n [0, 1, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 0, -1],\n [0, 2, 2],\n [-1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 2, 3],\n [0, 1, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 2],\n [0, -1, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, -2],\n [2, 2, -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": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 1],\n [-1, 2, 0],\n [1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[0, 2, 0],\n [2, 1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, -3],\n [0, 1, 1],\n [2, -1, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, 1],\n [2, 0, 1],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, 0, 0],\n [0, 0, -3],\n [0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[2, 3, 0],\n [-3, 1, 0],\n [-1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, -2],\n [0, -2, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -3, 3],\n [0, 2, 1],\n [-3, 1, 0]]?\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 3th power of the matrix:\n[[0, -1, -1],\n [-1, -1, 0],\n [-1, 0, 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^2 where A =\n[[0, 0, 2],\n [0, 3, 0],\n [2, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, 3],\n [0, 0, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\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": "281", "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, 1],\n [0, -3, -1],\n [1, 3, 0]]\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[[-2, 2, 2],\n [0, 0, 0],\n [0, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 1, 0],\n [1, 3, 0],\n [0, 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 sum of all entries of the result:\nA =\n[[-1, 1, 3],\n [0, 3, 2],\n [0, 0, -2]]\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, 1) of the 2th power of the matrix:\n[[2, 0, 0],\n [0, -3, 0],\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, -1],\n [1, 3, 3],\n [0, 3, 1]], determine the value at position (1, 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 (3, 2) of the matrix A^3 where A is:\n[[3, -1, 0],\n [-2, 2, 3],\n [2, -2, -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^3 where A is:\n[[1, 1, -1],\n [0, 0, -3],\n [3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [0, 1, 0],\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": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -3, 0],\n [0, 0, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, 3],\n [0, 3, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 2],\n [-2, -3, 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": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-2, 3, -2],\n [0, -3, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 3],\n [0, 2, 0],\n [3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -2, -1],\n [-2, 3, -2],\n [-1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 1, 2],\n [-2, -3, -2],\n [-1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -3],\n [3, 1, 3],\n [1, -2, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -2, 2],\n [-2, -1, 3],\n [2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 0],\n [0, 2, 0],\n [0, 0, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 0],\n [2, -2, 2],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -1, -2],\n [-1, -3, -2],\n [-2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 3, -3],\n [0, 0, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 0],\n [2, 0, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 0],\n [-1, 2, 3],\n [0, 3, 1]], determine the value at position (1, 1).\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^3 where A is:\n[[-3, 0, 0],\n [0, 3, 1],\n [0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 0],\n [0, -2, -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": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -3, 2],\n [0, 1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, -2],\n [1, -1, -1],\n [-2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, 1, 3],\n [-1, 0, -3],\n [-2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -1, -3],\n [1, -2, 3],\n [0, 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[[1, 0, -1],\n [0, 1, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, 2],\n [2, -2, -2],\n [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 (1, 3) of the matrix A^2 where A is:\n[[1, -1, 2],\n [-3, 3, 0],\n [-1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 3, 3],\n [0, -3, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2],\n [1, 3, -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": "95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 3],\n [1, -1, 0],\n [3, 0, -2]], 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": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, 0],\n [-2, 0, -2],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, 2],\n [-1, -1, 3],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 0],\n [0, -3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -3, 1],\n [-3, -3, -3],\n [1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "571", "dataset": "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, 3],\n [1, 0, 3],\n [2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -1, 0],\n [0, 2, 3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-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": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\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 absolute values of all entries of the matrix A^2 where A is:\n[[-2, -3, 3],\n [0, 0, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -2, 3],\n [-2, -1, -2],\n [3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[0, 2, 0],\n [-3, 2, 3],\n [-1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-1, 1, 3],\n [-2, -3, 1],\n [1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, 2],\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": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -3],\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": "-56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, -2],\n [0, -1, -1],\n [-2, -1, 1]], 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": "For the matrix power A^3 where A =\n[[-3, 3, 0],\n [3, 1, -1],\n [0, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, -3, -3],\n [-1, 0, -1],\n [-3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, -1],\n [-1, -1, -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": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 2, 0],\n [2, 2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-2, -2, 0],\n [-2, -1, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -1, 0],\n [-1, -1, 0],\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^2 where A is:\n[[1, -3, -3],\n [0, 3, 2],\n [0, 0, -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, 2, 3],\n [0, 0, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 1],\n [0, 0, -1],\n [1, -1, 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^2 and find the value at position (3, 3) of the result:\nA =\n[[-1, -2, -3],\n [0, -2, -3],\n [0, 0, -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[[0, 3, 0],\n [0, -1, -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": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -2],\n [-1, 3, -1],\n [-3, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 0],\n [2, -1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, 2, -3],\n [3, -3, 3],\n [0, -3, -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[[0, 0, -3],\n [1, -2, 1],\n [-1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 2],\n [0, -3, 2],\n [2, 2, 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 value at position (1, 2) of the 3th power of the matrix:\n[[2, -2, 1],\n [0, -2, 2],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 1],\n [0, 0, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, 2],\n [1, -2, 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": "69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 0, 0],\n [0, -2, 1],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 1, -1],\n [0, 1, 2],\n [-1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 0],\n [-3, 2, -3],\n [3, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 0],\n [1, -1, 2],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 1],\n [-2, -3, -3],\n [0, 1, -1]], 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -3, 2],\n [1, 1, 0],\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[[2, 2, -3],\n [0, 3, -3],\n [-2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 3],\n [0, -1, -3],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 3, 2],\n [-3, 1, 1],\n [-3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, -2, 0],\n [-3, 3, 2],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 1],\n [2, 1, -1],\n [-2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, -3],\n [2, 0, -3],\n [1, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[3, 2, 0],\n [2, -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": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[2, 2, 0],\n [2, -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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 0, -2],\n [0, 3, 2],\n [-2, 2, 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^3 where A =\n[[3, 3, 2],\n [0, -3, 1],\n [3, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 0, 1],\n [0, -3, 1],\n [-3, 1, 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 3th power of the matrix:\n[[0, -3, 1],\n [0, -1, 0],\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^2 and find the sum of all entries of the result:\nA =\n[[-3, 0, -1],\n [0, 0, 2],\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^3 where A =\n[[-2, -1, -1],\n [-1, 3, 2],\n [-1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -3],\n [0, 0, 1],\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": "245", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-1, 2, 2],\n [-1, 0, 1],\n [1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-1, -2, -2],\n [0, 3, 0],\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, -2, -2],\n [0, -1, 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": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[1, 2, 0],\n [2, -1, -2],\n [0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-1, -2, 1],\n [0, 1, 0],\n [-1, 1, 0]]\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 value at position (1, 3) of the result:\nA =\n[[2, -1, -1],\n [-1, 1, 0],\n [-1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 1, 0],\n [1, 3, -1],\n [0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -1, -2],\n [-1, 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": "61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0],\n [0, 3, 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": "102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, 2],\n [0, -3, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [2, 3, 3],\n [0, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -1, 1],\n [0, 1, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, -1],\n [0, 3, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, 2, 0],\n [2, 2, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[3, 1, 3],\n [1, 2, -2],\n [3, -2, -2]]\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[[-3, 3, -1],\n [2, 3, 0],\n [0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -1, -2],\n [-2, 1, 2],\n [1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 2, 1],\n [-1, -1, 1],\n [3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -1],\n [0, 3, -2],\n [-1, -2, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 2, 0],\n [0, 3, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "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, -3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 1],\n [0, 1, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 1],\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": "93", "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, -3],\n [-1, -2, 0],\n [-2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 1, 3],\n [1, 0, -1],\n [3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 2, 1],\n [0, -1, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[1, 2, 1],\n [2, 3, -2],\n [1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-1, 0, 2],\n [0, -1, 2],\n [2, 2, 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^2 where A =\n[[-3, -1, 2],\n [-1, 3, 0],\n [2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 1, 1],\n [0, 0, 1],\n [0, 0, -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[[-2, 2, 0],\n [0, 1, 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": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, 1],\n [0, -1, 1],\n [0, 0, -2]], 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^3 where A =\n[[0, 1, 1],\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": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[0, -3, 3],\n [0, -3, -2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 1],\n [-1, 1, 0],\n [1, 0, -3]], determine the value at position (2, 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^3 where A =\n[[1, 0, -2],\n [0, 0, 2],\n [-2, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[0, -3, -2],\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 all entries of the 2th power of the matrix:\n[[3, 3, -1],\n [2, 3, 1],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 2],\n [0, -1, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 3],\n [0, 0, -3],\n [0, 0, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[3, -3, -2],\n [0, 2, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 1, 3],\n [-1, -1, -2],\n [-2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 2, -2],\n [2, -2, -2],\n [-2, -2, -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 2th power of the matrix:\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": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 0],\n [2, 3, -1],\n [0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 0],\n [1, 0, -2],\n [-3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "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, -3, 3],\n [-3, -2, -3],\n [-2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 2],\n [-2, -1, -1],\n [2, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 2],\n [-2, -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": "123", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 1],\n [2, -3, 2],\n [-3, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 0, -2],\n [1, 3, -2],\n [1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 1],\n [-3, 3, -3],\n [1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, -2],\n [3, 1, 2],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, -2],\n [0, 0, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^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": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -1],\n [-2, 1, 1],\n [1, -2, 0]], 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": "For the matrix power A^2 where A =\n[[1, -1, 2],\n [-2, 3, 0],\n [-2, -1, 2]], 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, 0],\n [-2, -3, -2],\n [0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-389", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, -1, 3],\n [-1, -3, 1],\n [-1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -2, -2],\n [-2, -3, 2],\n [-2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-171", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 0, -1],\n [1, -1, -3],\n [2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0],\n [2, 2, 1],\n [1, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "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, 2],\n [-2, -3, -3],\n [3, 3, 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 (2, 1) of the matrix A^3 where A is:\n[[3, 0, 1],\n [-1, 2, 1],\n [1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 1],\n [0, -3, 0],\n [1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -1],\n [3, 0, -3],\n [0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, -2, 0],\n [-2, 0, 0],\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[[-1, -1, -2],\n [-3, -3, -1],\n [-3, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, -3],\n [0, 2, -1],\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": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 1, 2],\n [-3, 3, -3],\n [1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -2],\n [2, 2, 0],\n [-2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, -2],\n [0, 1, -3],\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": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 3, 3],\n [3, -1, 2],\n [-3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -1],\n [0, -3, 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": "105", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, 3],\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": "For the matrix power A^3 where A =\n[[-1, -3, 3],\n [0, 0, -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": "82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 1, 1],\n [2, -1, 2],\n [1, -2, 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^2 where A =\n[[2, -2, 3],\n [2, 1, 2],\n [2, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 0],\n [0, 0, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\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": "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, -3],\n [0, 0, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, -1],\n [-2, -1, 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": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, 0],\n [1, -2, -1],\n [0, -1, 1]]\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, 2) of the matrix A^3 where A is:\n[[2, 3, -2],\n [0, 2, 2],\n [2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 2],\n [0, 3, -1],\n [2, -1, 3]]\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 value at position (2, 3) of the result:\nA =\n[[1, 0, 0],\n [0, 1, 1],\n [0, 1, -2]]\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 2th power of the matrix:\n[[-2, 0, 0],\n [0, 1, 0],\n [0, 0, 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^3 and find the sum of all entries of the result:\nA =\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": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, -1],\n [-3, 2, -1],\n [2, 0, -3]], 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": "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, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 1, 2],\n [1, 0, 2],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 0, -2],\n [0, 3, -2],\n [-2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, 1],\n [0, 0, 0],\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[[0, -1, -1],\n [-2, 2, -1],\n [-3, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 1],\n [0, 0, -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": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 3],\n [2, 1, -3],\n [-1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 3],\n [0, 0, -1],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, 1],\n [-2, 0, -3],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-3, 0, 0],\n [-1, -1, 0],\n [-3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -2],\n [0, 2, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 2, -3],\n [0, 0, 3],\n [0, 0, -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^3 where A =\n[[3, 2, 1],\n [0, 3, 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": "203", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -2, 0],\n [0, 0, 3],\n [0, 0, 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 all entries of the matrix A^2 where A is:\n[[3, 3, 1],\n [0, -3, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, 1],\n [0, 1, 0],\n [0, 0, -1]]\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[[0, 2, 1],\n [-1, 2, 2],\n [2, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, -2],\n [0, 0, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -2, -1],\n [-2, -3, -2],\n [-1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-373", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 1, -3],\n [-1, 0, -1],\n [0, 0, -3]]?\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 2th power of the matrix:\n[[1, -2, -3],\n [3, -3, 3],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 1, 0],\n [1, -1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-1, 3, -1],\n [-3, -2, 3],\n [1, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -1, 1],\n [0, -2, 2],\n [0, 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, -1],\n [0, 3, 0],\n [-1, 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": "For the matrix power A^3 where A =\n[[-1, -3, 0],\n [1, -3, 3],\n [-1, 2, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, 0],\n [0, -1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -1, -2],\n [0, 3, 1],\n [0, 0, 0]]\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, 3) of the matrix A^3 where A is:\n[[1, -2, 0],\n [-1, -2, -2],\n [3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -1],\n [0, -3, 3],\n [-1, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "263", "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, 0],\n [-2, 1, -2],\n [0, -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, 1) of the matrix A^3 where A is:\n[[1, -2, -3],\n [-3, 0, 0],\n [0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -2, 3],\n [1, -1, -1],\n [0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[2, 0, 0],\n [0, 2, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1],\n [2, 0, -1],\n [1, -1, -3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 1, 3],\n [0, -3, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, -2],\n [0, 3, 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": "96", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-3, 3, -2],\n [0, -3, 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 sum of all entries of the 3th power of the matrix:\n[[2, 3, -2],\n [2, 0, -2],\n [1, -2, 0]]\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 2th power of the matrix:\n[[2, -2, 0],\n [-2, 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": "For the matrix power A^3 where A =\n[[1, -2, 0],\n [-2, 1, 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": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [0, -1, 0],\n [-2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, 0],\n [0, -3, -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": "165", "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, 3],\n [0, -2, 2],\n [0, 0, 0]]\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 (2, 2) of the matrix A^2 where A is:\n[[-3, 0, 3],\n [-2, 2, -1],\n [-1, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 1],\n [-1, -2, -1],\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": "73", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 3],\n [3, 2, -2],\n [-3, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -2, 0],\n [-2, 3, -2],\n [0, -2, 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^3 where A =\n[[2, 0, 2],\n [0, 1, 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": "264", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 1],\n [0, 1, 0],\n [1, 0, 0]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, -1],\n [0, 1, -2],\n [0, 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 absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, -3],\n [0, -1, 1],\n [1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -1],\n [0, 0, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, 0],\n [0, 0, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, 3],\n [0, 1, 2],\n [3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 2],\n [0, -2, -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": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -2],\n [0, 3, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, -1],\n [0, -1, -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": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 1, -3],\n [0, -3, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 1],\n [0, -3, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -2, 2],\n [1, -3, -3],\n [-1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[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": "157", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 0],\n [-2, 1, -3],\n [0, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 0],\n [0, -1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, -2],\n [3, 3, 0],\n [-2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 3],\n [3, 0, 3],\n [-2, 0, -1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-2, 1, -1],\n [0, -2, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 2],\n [-1, -1, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -3],\n [-1, 3, 3],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 2],\n [0, 0, -1],\n [2, -1, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 1, 2],\n [2, 0, 1],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[0, -3, -1],\n [-1, -2, 0],\n [-2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 1],\n [-1, 1, 3],\n [-2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[3, -3, 1],\n [0, 3, 2],\n [0, 0, 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^2 where A =\n[[1, 2, 0],\n [-3, -3, -1],\n [2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 2],\n [-2, 3, 2],\n [2, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, -2],\n [-2, -2, 0],\n [0, 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 absolute values of all entries of the matrix A^2 where A is:\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": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-3, 2, -1],\n [0, 3, -3],\n [1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -1],\n [2, 2, -2],\n [0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, -3, 0],\n [-2, -1, -3],\n [1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 2],\n [-3, 2, -2],\n [-2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, 3],\n [3, -1, -3],\n [3, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -3],\n [0, 2, -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": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, 0],\n [-1, 0, -3],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -1],\n [-1, -1, 0],\n [-1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, -2],\n [0, -3, 2],\n [-2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[-2, 1, 0],\n [1, 0, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 0],\n [-2, -1, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 2],\n [2, -1, -1],\n [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": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, -2, 1],\n [-2, 3, -2],\n [0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\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": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 0],\n [3, -3, -2],\n [-1, 2, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 1, -3],\n [1, 0, -3],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -3],\n [0, -1, 3],\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": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -2],\n [0, -1, -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": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 1, -3],\n [0, 2, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -3, 1],\n [0, 3, 2],\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^3 where A is:\n[[0, -1, 1],\n [0, -1, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -3],\n [-2, 1, 2],\n [-2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -3],\n [0, 1, 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": "176", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\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": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 0],\n [1, -2, 0],\n [1, 1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -2],\n [-2, 0, -2],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, 2],\n [0, 2, 2],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 3, 3],\n [-1, -1, -1],\n [-1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 1],\n [-1, -1, 2],\n [1, -3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -3, -1],\n [0, -2, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, -2],\n [0, -1, 1],\n [0, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 2],\n [0, -2, 3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, -2],\n [0, 3, 0],\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 sum of all entries of the matrix A^2 where A is:\n[[1, -1, -1],\n [-3, 3, 1],\n [1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, 1, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[2, 0, 2],\n [2, -3, 2],\n [2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -2, -1],\n [-2, -3, -2],\n [-1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, 2],\n [1, 1, -1],\n [-3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 0],\n [0, 0, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 0, -2],\n [0, 2, 0],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, -2],\n [0, -2, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 0],\n [-1, -3, 1],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, -1, 1],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -3, -1],\n [-3, 3, 2],\n [-1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -1, -3],\n [0, 1, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, -1, -1],\n [-1, -2, 0],\n [-1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-2, -2, -1],\n [-3, -2, -3],\n [-2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 2],\n [-2, 1, -2],\n [2, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 0],\n [-2, -2, 0],\n [0, 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^2 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, 0],\n [-2, -3, 0],\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 (2, 2) of the matrix A^3 where A is:\n[[2, -1, 3],\n [0, 2, -1],\n [-1, 3, 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^2 and find the sum of all entries of the result:\nA =\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": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 3, 0],\n [-1, 1, 0],\n [-2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-2, 3, -1],\n [0, 1, -2],\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^3 and find the sum of all entries of the result:\nA =\n[[3, 2, -3],\n [1, 0, -2],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) 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": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, 0],\n [0, 2, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "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],\n [2, 3, 1],\n [1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, -2],\n [0, 3, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, 0],\n [2, 2, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 3],\n [3, -1, -2],\n [3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[1, -1, 2],\n [-2, -1, -1],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 1],\n [1, 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": "62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 0],\n [-2, 0, -1],\n [-3, -3, -1]], determine the value at position (2, 2).\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[[0, -1, 3],\n [2, -2, -2],\n [1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 1, 0],\n [2, 2, 0],\n [1, -3, 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[[-1, -1, 1],\n [0, 0, 2],\n [0, 0, 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[[2, 0, -1],\n [0, 1, 2],\n [0, 0, 3]]\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[[-1, 2, -3],\n [0, -2, -2],\n [0, 0, -1]], 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, -2],\n [-2, 2, 3],\n [-3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-2, -1, 3],\n [0, 1, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, 1],\n [2, 2, 2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -3, -1],\n [0, 2, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0],\n [-2, 1, 2],\n [0, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "312", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 1],\n [0, 2, -2],\n [0, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "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, -2, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, 0, 0],\n [0, -3, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\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": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -1, 3],\n [2, 0, -2],\n [2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 3, 1],\n [-3, 0, 1],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[3, 3, 0],\n [3, -1, 1],\n [3, 1, 3]]\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 3th power of the matrix:\n[[1, 0, -3],\n [0, 3, 1],\n [-1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -2, -3],\n [2, -1, 0],\n [0, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^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": "17", "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, 1],\n [0, 2, -2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, -2],\n [-2, 2, -3],\n [1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, -1],\n [-2, -1, -2],\n [-3, 0, 2]]?\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 2th power of the matrix:\n[[-1, 1, -2],\n [-1, -1, 3],\n [-2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -1],\n [0, 1, -2],\n [-1, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 0],\n [0, -1, -1],\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": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, -1],\n [0, 1, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -1],\n [-2, -3, 2],\n [-1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, -3],\n [0, 0, -1],\n [2, -2, -2]], determine the value at position (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[[2, 1, -1],\n [0, 1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 0],\n [-1, -1, 2],\n [0, 2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 1, 3],\n [0, 3, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -2, -2],\n [-2, -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": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, 2, 0],\n [2, 0, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 2],\n [0, 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": "244", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 1],\n [3, -2, 2],\n [-3, 3, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, -2],\n [2, -3, -2],\n [1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 0],\n [2, -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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 2, 2],\n [2, 2, 0],\n [2, 0, -2]]\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 all entries of the result:\nA =\n[[3, 1, -1],\n [1, 3, -1],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[1, -2, 0],\n [0, 3, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -3, -1],\n [0, 1, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, -3, 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[[-2, 3, -2],\n [1, -2, 3],\n [3, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, -3],\n [2, 1, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[0, 1, 2],\n [2, 1, 1],\n [3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-2, -2, 0],\n [-2, 0, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 0],\n [-2, 0, 3],\n [-2, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[2, 1, 3],\n [0, 3, 1],\n [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^3 where A is:\n[[3, 3, 0],\n [3, -2, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 0],\n [0, 1, 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": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, 3, 2],\n [0, -2, 2],\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^2 and find the value at position (2, 3) of the result:\nA =\n[[2, 3, 1],\n [0, -1, 2],\n [0, 0, 3]]\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, 3) of the matrix A^3 where A is:\n[[-2, 2, -1],\n [2, 0, 0],\n [-1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 2, 2],\n [0, 3, 2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -2, 2],\n [3, -1, -2],\n [-2, -3, 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 (2, 2) of the 2th power of the matrix:\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": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[2, -2, 3],\n [-2, 1, 2],\n [3, 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 absolute values of all entries of the matrix A^2 where A is:\n[[-3, 3, 2],\n [1, 1, -2],\n [-3, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 3, -3],\n [1, 2, 0],\n [1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[2, 2, 2],\n [-2, 1, -2],\n [1, 0, 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, 2, 1],\n [-1, -2, 1],\n [-2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 3],\n [-1, -2, 1],\n [3, -2, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, 0, 1],\n [0, 3, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [0, -2, 1],\n [0, 1, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 3, -2],\n [0, 0, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -1, 1],\n [-1, -1, -1],\n [1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 0],\n [0, 1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 3, 0],\n [0, 1, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -3, 3],\n [-3, -1, 0],\n [1, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -1, -3],\n [0, -2, -1],\n [-2, 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^2 where A =\n[[-2, 2, 0],\n [0, 0, -3],\n [0, 0, 2]], 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -3, 3],\n [-3, 0, -2],\n [3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, -3],\n [-3, 0, 3],\n [2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "386", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, -1, -1],\n [1, -3, 0],\n [1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -1],\n [0, 1, 3],\n [0, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, 0, -2],\n [0, 3, 2],\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^2 where A is:\n[[-1, 0, -2],\n [0, -2, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -2],\n [0, 3, -1],\n [0, 0, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 2, -3],\n [2, -1, 2],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[1, -3, 2],\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": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-2, 1, 0],\n [1, -3, 2],\n [0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, -1],\n [3, -3, 0],\n [3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 3, 1],\n [-3, 1, -2],\n [-1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, -1],\n [1, 2, 2],\n [-1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[3, -3, -2],\n [1, 1, 3],\n [1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 2],\n [-3, 3, 1],\n [-1, 3, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "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 [0, -2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[-2, -3, -3],\n [-3, -1, -3],\n [-1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -2],\n [-2, 0, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 2, -2],\n [2, -2, 2],\n [-2, 2, 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 absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, 1],\n [0, -1, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 3],\n [0, 2, -1],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[0, 1, -1],\n [1, 0, 2],\n [-1, 2, -3]]\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, 1],\n [-1, 3, 2],\n [1, 2, 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 3th power of the matrix:\n[[-1, 2, 0],\n [2, -2, 3],\n [0, 3, -1]]\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 (1, 3) of the result:\nA =\n[[3, 0, -3],\n [0, 3, 2],\n [-3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 3, 3],\n [-1, -1, 3],\n [-2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, -1],\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": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[0, -3, 0],\n [3, -1, 1],\n [-1, -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^3 where A =\n[[0, -1, 3],\n [-2, -1, -1],\n [2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "192", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -2, 0],\n [0, 0, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 1],\n [0, 2, 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": "-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, 1, -2],\n [-3, 2, -2],\n [-3, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0],\n [-2, 1, 3],\n [0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -2],\n [0, 3, 0],\n [0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [0, 1, 0],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, -2, 1],\n [1, -2, 3],\n [1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, 3],\n [0, 2, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -3],\n [0, 3, 1],\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": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[-2, 1, 2],\n [1, -3, 2],\n [2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, -3, 2],\n [0, 2, 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 value at position (2, 1) of the result:\nA =\n[[0, 0, 0],\n [-3, -1, 1],\n [0, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -3, -1],\n [0, 1, -1],\n [0, 0, 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[[0, 3, -2],\n [0, -1, -3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0],\n [-2, 2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[3, 0, 2],\n [0, -2, 0],\n [2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 1, -1],\n [1, 1, 1],\n [3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, -2],\n [-2, 1, -1],\n [-2, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "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, -2],\n [0, -3, -2],\n [0, 0, 1]]\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[[2, -2, 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": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -2],\n [-2, 3, 1],\n [-3, 0, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0],\n [0, 2, -1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 0],\n [0, 0, -2],\n [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": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -1],\n [-2, 3, 2],\n [-1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "451", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 1, 0],\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, -1, 2],\n [2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [3, 3, -1],\n [-2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-1, 0, -2],\n [0, 0, 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 value at position (1, 2) of the matrix A^2 where A is:\n[[-2, 1, -1],\n [1, 2, 0],\n [-1, 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[[-1, -2, 2],\n [0, 1, -3],\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": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -1, 3],\n [-2, -2, -1],\n [1, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 3, 3],\n [1, 1, 1],\n [3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 1],\n [-3, 0, 2],\n [3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-3, -1, -1],\n [0, 1, -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 value at position (3, 2) of the matrix A^3 where A is:\n[[3, -3, -2],\n [-1, 1, 0],\n [3, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 2],\n [0, -3, 1],\n [3, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, -3],\n [1, -1, 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": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[1, -2, -1],\n [0, 2, 2],\n [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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, 0],\n [-1, -2, 2],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, 1],\n [0, -1, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -3, 3],\n [0, 2, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 0],\n [0, -3, -1],\n [-2, 2, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 1],\n [-2, -3, -2],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 2],\n [2, 2, 2],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -3],\n [1, -2, -1],\n [-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": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 0],\n [0, 3, -1],\n [0, -1, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, 1],\n [0, 0, -3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -3],\n [-1, 3, 3],\n [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": "49", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, -1],\n [-1, -1, 3],\n [-1, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "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, 1, 0],\n [-2, 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[[-1, -1, 2],\n [0, -1, 2],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, -3],\n [0, -3, -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": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[0, 2, -2],\n [2, -1, -2],\n [-2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-2, 1, 1],\n [0, -1, -1],\n [0, 0, 2]]?\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 (3, 1) of the matrix A^3 where A is:\n[[-1, 3, 1],\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": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, 0],\n [-2, 0, 1],\n [0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, 0, 2],\n [0, -3, 0],\n [2, 0, 3]]\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[[-3, -3, 1],\n [1, -3, -3],\n [2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "336", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -1],\n [-3, 3, -1],\n [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": "151", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, 0],\n [0, 3, 2],\n [0, 0, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 3, 0],\n [3, 2, 0],\n [0, 0, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, 1],\n [0, 2, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -3, 1],\n [0, 1, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 2],\n [0, 2, -1],\n [0, -2, 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 all entries of the result:\nA =\n[[3, 2, 1],\n [2, 1, 0],\n [1, 1, -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[[0, -2, 2],\n [-2, 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": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-1, 0, 3],\n [3, 0, 0],\n [3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, -2],\n [-1, 1, -3],\n [-2, -3, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 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": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 2],\n [2, 0, -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": "66", "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 [0, -1, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, 0, 0],\n [0, 0, -3]]\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^2 where A is:\n[[1, -2, 1],\n [-2, 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[[0, -1, 1],\n [0, 1, 0],\n [0, 0, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 1, -2],\n [0, 0, 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 (3, 1) of the matrix A^2 where A is:\n[[-3, -1, 1],\n [2, -3, -2],\n [-3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-2, -1, 1],\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 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": "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[[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": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[1, -3, 2],\n [0, -2, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 2, -1],\n [2, -3, 0],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -1],\n [0, 1, -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": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, -2],\n [0, 2, -3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 2],\n [0, 2, -1],\n [3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 0],\n [0, 0, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -2, 1],\n [0, 0, 3],\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 all entries of the result:\nA =\n[[-2, -2, -3],\n [-2, 2, 1],\n [3, 2, 0]]\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[[3, 2, -1],\n [2, 2, -1],\n [-1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "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, 1, -2],\n [0, -3, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 3],\n [0, 3, -1],\n [0, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 0, 0],\n [0, 1, 0],\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 2th power of the matrix:\n[[-1, 0, 2],\n [0, 0, 0],\n [2, 0, -3]]\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 (2, 2) of the matrix A^2 where A is:\n[[-1, 2, 1],\n [2, -1, 0],\n [1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 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": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2],\n [0, -2, 2],\n [-2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "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 [-3, -1, 0],\n [-3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 3],\n [1, -1, -2],\n [-3, 0, -3]], 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[[-1, 0, 2],\n [0, 1, -1],\n [2, -1, -1]], determine the value at position (2, 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[[1, 1, -2],\n [1, 2, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-3, -1, 0],\n [0, 2, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-3, -1, 2],\n [-1, 1, -2],\n [2, -2, -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[[0, -2, -3],\n [0, 3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 2],\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": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, -3],\n [3, 2, 3],\n [0, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, 3],\n [-3, -3, 2],\n [3, 3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1331", "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, 3, 1],\n [-1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-3, 3, -2],\n [0, -2, 2],\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^2 where A is:\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": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 0],\n [-1, 0, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, 3],\n [-2, -1, -1],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, 0],\n [-1, 1, -1],\n [0, -1, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 0],\n [1, -2, 1],\n [2, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 3, 2],\n [0, 3, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[3, 0, 3],\n [0, 1, 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 value at position (2, 1) of the matrix A^3 where A is:\n[[-2, -3, -2],\n [0, -2, -2],\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, 0, 0],\n [0, 2, -2],\n [0, -2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "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 [-2, 3, 0],\n [-3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [0, -2, -2],\n [0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, -1],\n [0, 0, -2],\n [1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, 0],\n [0, 0, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 0],\n [0, 3, 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": "17", "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 [-2, 2, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, -2, 0],\n [-2, 3, 0],\n [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 sum of all entries of the matrix A^2 where A is:\n[[0, 3, -2],\n [0, 2, -1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 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": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 0],\n [-2, 1, 0],\n [-1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2],\n [0, 1, 1],\n [2, 1, 0]]\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^2 where A is:\n[[-3, 0, -2],\n [0, 0, -3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -3, -2],\n [-3, 2, 3],\n [-3, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, 0],\n [1, 1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, 2, -3],\n [3, 0, 0],\n [1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[0, 2, 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": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[1, 2, -3],\n [2, -3, -2],\n [-3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 3, 3],\n [0, -1, 0],\n [3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "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, -3],\n [0, -1, 0],\n [0, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 1],\n [-3, -3, 3],\n [3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "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],\n [0, 3, 0],\n [0, 0, 3]]?\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 (1, 3) of the matrix A^2 where A is:\n[[3, -1, 2],\n [2, 1, 1],\n [-3, 1, -1]]?\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[[2, 2, 3],\n [0, -2, -3],\n [0, -2, 1]], determine the value at position (3, 2).\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 2th power of the matrix:\n[[0, 0, 0],\n [0, 3, -1],\n [0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0],\n [1, 3, 2],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, -2, -1],\n [-1, -3, 0],\n [-3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[3, -2, -2],\n [0, -1, 3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, 2, 0],\n [2, 1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, -3],\n [0, 1, 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": "24", "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, -1],\n [0, 0, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -2],\n [0, 1, -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": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 1, 0],\n [1, 2, 1],\n [0, 1, 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^3 where A =\n[[-2, 1, 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": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, 0],\n [-1, -3, -2],\n [0, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, -1],\n [2, 3, -2],\n [-3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, 0, -2],\n [0, 1, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 0],\n [-2, 3, 1],\n [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": "189", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[0, 3, -3],\n [0, 0, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -1, 0],\n [2, 1, 3],\n [-2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 3],\n [0, 2, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -3],\n [3, -3, 2],\n [-1, 3, -2]], 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": "For the matrix power A^3 where A =\n[[-2, -3, -3],\n [0, 1, -2],\n [0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-1, 3, 1],\n [0, -3, -3],\n [3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, 3],\n [-3, 3, -3],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, -2, 0],\n [-2, -1, 2],\n [0, 2, -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, 0, 1],\n [0, -2, 2],\n [1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-2, 0, 3],\n [2, 0, 3],\n [-1, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, 1],\n [3, 0, -3],\n [2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, 2],\n [-2, 2, 0],\n [2, 0, -2]]\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 value at position (2, 3) of the result:\nA =\n[[-2, 1, 0],\n [1, 2, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 0],\n [-2, -1, 0],\n [0, 0, 3]], determine the sum 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 all entries of the matrix A^3 where A is:\n[[3, -1, -2],\n [0, -2, -2],\n [0, 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^3 and find the value at position (1, 1) of the result:\nA =\n[[-1, 0, 1],\n [-1, -2, 0],\n [1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 0, 0],\n [0, -3, -1],\n [0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 3],\n [2, 3, 0],\n [-3, -2, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 3, 3],\n [0, 1, -1],\n [-1, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[0, 2, 0],\n [2, 2, -2],\n [0, -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 all entries of the matrix A^3 where A is:\n[[0, 1, -2],\n [1, -2, 0],\n [-2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[1, 0, 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": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-2, 1, -2],\n [3, -2, 3],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 0],\n [0, 3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[3, -2, 0],\n [0, -1, 1],\n [0, 0, -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 value at position (2, 2) of the result:\nA =\n[[-2, 0, 0],\n [0, -1, 2],\n [0, 2, 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 (3, 2) of the matrix A^2 where A is:\n[[1, 3, 1],\n [-2, 3, 1],\n [-2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[0, 2, 1],\n [0, -1, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, -3],\n [0, -3, 3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-3, 2, 2],\n [2, 3, 1],\n [2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2],\n [-1, -1, -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": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-1, -1, -1],\n [0, 3, -3],\n [-3, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 2],\n [3, 0, 1],\n [-1, -1, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, 0],\n [0, 2, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 2],\n [2, 1, 2],\n [2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -1],\n [0, -3, 1],\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": "112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, -1, 2],\n [0, 0, -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^2 where A =\n[[0, -2, 0],\n [-2, 1, 0],\n [0, 0, 3]], determine the value at position (1, 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^3 and find the sum of all entries of the result:\nA =\n[[3, -2, 2],\n [-2, 1, 0],\n [1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 1],\n [0, -2, -2],\n [0, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, -3],\n [0, -1, -2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-3, 0, 0],\n [0, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, -1],\n [0, 1, -3],\n [2, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -2, -2],\n [3, -3, -3],\n [0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 0],\n [2, 3, -2],\n [0, -2, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[0, -3, 2],\n [0, 2, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 0],\n [1, 2, -2],\n [0, -2, 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^2 and find the value at position (1, 3) of the result:\nA =\n[[-2, -1, 0],\n [0, 3, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 0, 1],\n [3, -2, -1],\n [3, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-2, -3, -2],\n [3, 2, 3],\n [1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 2, 3],\n [0, -1, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 1, -1],\n [0, 0, -2],\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^2 where A =\n[[2, -2, -1],\n [0, 3, 2],\n [0, 0, 2]], 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 1],\n [2, 0, 0],\n [1, 0, -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^2 where A =\n[[-1, 0, 2],\n [0, -1, 1],\n [0, 0, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 2, 1],\n [2, 3, 0],\n [1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -1],\n [-3, 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": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2],\n [-2, 1, -2],\n [2, -2, -3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 3, 0],\n [0, 2, -2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0],\n [0, -1, 1],\n [0, 1, -1]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 1],\n [-3, -2, 2],\n [-2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, -3],\n [2, -3, 1],\n [0, -3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -1],\n [0, 1, -1],\n [0, 0, 2]], determine the value at position (1, 2).\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[[-3, 3, -3],\n [-2, 3, -1],\n [1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0],\n [0, -3, 2],\n [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": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 2],\n [1, -3, -1],\n [2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[-2, 0, 1],\n [0, -3, -2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-3, 1, 3],\n [0, 1, -2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -1],\n [0, 2, 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": "98", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, -3],\n [-1, 0, 2],\n [-2, -2, -1]], determine the value at position (2, 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[[1, -1, 3],\n [0, -1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 3, -2],\n [0, -2, -1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2],\n [0, -1, -2],\n [2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 1],\n [0, -1, 1],\n [0, 0, 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^3 and find the value at position (3, 2) of the result:\nA =\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": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[0, 1, -2],\n [0, -2, -3],\n [2, 1, -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^2 where A =\n[[-1, -2, -3],\n [0, -3, 1],\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": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, -3, 2],\n [-3, -2, 0],\n [2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[1, 1, 1],\n [1, 3, -2],\n [1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 0],\n [-2, 2, 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": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, -2],\n [0, 2, -1],\n [-2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 1],\n [0, 0, 1],\n [0, 0, -1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -3],\n [-3, 1, 0],\n [0, -1, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 0],\n [0, -2, 2],\n [-3, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "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, -1],\n [0, 1, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -3],\n [0, 1, -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": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 3, -1],\n [0, 2, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 0],\n [1, 0, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[-1, 2, 0],\n [0, -3, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, 2, -2],\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -2, 3],\n [0, 2, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 3, 3],\n [0, 2, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[2, 2, 2],\n [-1, 0, -2],\n [3, -3, 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 (1, 3) of the matrix A^3 where A is:\n[[-1, 1, 1],\n [1, 2, -2],\n [1, -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^2 and find the sum of all entries of the result:\nA =\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": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, -3],\n [0, 1, 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": "22", "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, -3, -2],\n [2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 0, -1],\n [0, -2, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-1, 1, 0],\n [1, -3, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -1],\n [0, -1, 3],\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": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[0, -2, 2],\n [2, 0, 2],\n [3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-3, 3, -2],\n [-2, 3, 1],\n [0, 1, 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[[-3, -3, 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": "-36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 2],\n [0, 1, 1],\n [0, 0, -2]], 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^2 where A =\n[[3, 1, -1],\n [0, 1, -1],\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": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 2, -1],\n [0, 3, -1],\n [-1, -2, -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 all entries of the result:\nA =\n[[1, 0, 1],\n [0, -3, -2],\n [1, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, -1],\n [0, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -1],\n [2, 1, 0],\n [3, 1, 2]], 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": "For the matrix power A^2 where A =\n[[0, -2, -2],\n [1, -1, 1],\n [-1, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, -3],\n [0, 1, 1],\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": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -1, 0],\n [0, 2, -2],\n [3, -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[[-2, 0, 1],\n [0, 2, -1],\n [1, -1, -2]], determine the value at position (2, 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, 0, 0],\n [0, 3, 0],\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": "For the matrix power A^3 where A =\n[[1, 1, -3],\n [-2, 3, 1],\n [-2, -1, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, 2],\n [0, 3, 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": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 2, 2],\n [1, 1, 0],\n [-2, -3, 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^3 where A =\n[[-2, 2, -3],\n [1, -2, 2],\n [1, 2, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 1],\n [0, 0, 1],\n [1, 1, -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^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 1],\n [0, -3, 0],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 0],\n [3, -2, 1],\n [1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) 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": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[0, 2, -3],\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": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[1, -2, 2],\n [-2, 1, 1],\n [-1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 2],\n [-2, -2, 0],\n [2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 3],\n [0, -2, -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": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, -2],\n [0, 1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, -1],\n [2, -3, -3],\n [0, 1, -1]], 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": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -2, -2],\n [-2, 2, 2],\n [-2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -3, 3],\n [0, -3, 1],\n [3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 0, 0],\n [0, 0, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-1, 2, -2],\n [3, -2, 2],\n [2, 3, 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^2 where A =\n[[2, 3, 0],\n [-1, -3, 2],\n [-1, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 1, 0],\n [1, 2, -3],\n [-1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[2, 1, 3],\n [1, 2, -2],\n [3, -1, -2]]\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 2th power of the matrix:\n[[-1, -2, 0],\n [0, 2, 1],\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 sum of all entries of the 3th power of the matrix:\n[[2, -3, 0],\n [0, -2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 1],\n [0, 2, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, 2, 2],\n [2, 3, -2],\n [2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, 1],\n [0, 2, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 1, -1],\n [0, 1, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, 3],\n [1, 1, -1],\n [3, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[1, 2, -3],\n [0, 1, 1],\n [0, 0, 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 (3, 2) of the matrix A^2 where A is:\n[[3, -1, -2],\n [3, 1, 3],\n [0, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [0, 1, 0],\n [-2, 0, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 1],\n [-2, -2, -3],\n [0, 1, -2]], 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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, 1],\n [0, -2, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 1, 0],\n [0, -3, -2],\n [2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, -1],\n [0, 1, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 2],\n [-3, 0, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 3, 3],\n [0, 2, -2],\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 absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, 0],\n [-1, 3, -3],\n [-2, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "308", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -1, 2],\n [1, -2, 3],\n [3, 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 absolute values of all entries of the 2th power of the matrix:\n[[2, 2, -2],\n [0, -3, -3],\n [0, 0, 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, 0, 0],\n [0, 3, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 1, -3],\n [0, -3, 1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, -1],\n [0, 3, 2],\n [-3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "303", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-2, -2, 1],\n [2, 2, 2],\n [3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[-2, -2, 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": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[0, -3, 1],\n [-3, -3, 0],\n [1, 0, -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[[0, -1, -3],\n [0, 3, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, -2],\n [-3, 1, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "444", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, 2, 2],\n [-1, 3, 2],\n [-1, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, 3, 0],\n [3, 3, 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^3 and find the value at position (2, 1) of the result:\nA =\n[[1, 3, 0],\n [-1, -2, -2],\n [1, 1, 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[[-1, 2, -2],\n [2, 2, 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": "175", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 2],\n [-1, 0, -2],\n [2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "243", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 2],\n [3, -1, -2],\n [-2, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, 2],\n [2, 0, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -3],\n [0, -1, 3],\n [0, 0, 2]], determine the value at position (2, 3).\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 2th power of the matrix:\n[[-2, 1, -1],\n [0, 0, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, -3, -3],\n [2, 2, -3],\n [1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -3, -2],\n [0, -3, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -2, 0],\n [-2, 0, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -1, -2],\n [0, 1, 0],\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^3 where A =\n[[-2, -3, 2],\n [-3, 2, 1],\n [2, 1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[-1, 0, 0],\n [0, -2, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, 1, 0],\n [0, 1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, 1, 0],\n [1, -2, -1],\n [0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 0],\n [1, 0, 1],\n [2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -3, 3],\n [0, 0, 2],\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, 3) of the matrix A^2 where A is:\n[[1, 2, 2],\n [2, -2, 0],\n [2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, 2],\n [-1, -1, 0],\n [2, 0, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-3, 3, 0],\n [0, 3, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -3, 2],\n [0, 0, -3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -1, -2],\n [-2, -1, 0],\n [0, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[0, -3, 1],\n [0, 0, 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^3 and find the sum of all entries of the result:\nA =\n[[2, -1, 0],\n [-1, 3, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, -1],\n [0, -3, -2],\n [1, -1, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, 2],\n [3, -1, -3],\n [0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[1, -2, 2],\n [-2, 0, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 0],\n [0, -1, 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": "70", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[3, -2, -2],\n [-2, 2, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "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, 1],\n [0, 1, 2],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, -2],\n [-2, -3, -2],\n [3, 2, 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[[3, 0, 0],\n [0, 0, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 2],\n [0, 3, 2],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[0, 2, -3],\n [0, -1, 3],\n [0, 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^2 where A is:\n[[3, 2, -2],\n [-3, -2, -1],\n [3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -2],\n [-1, 1, -2],\n [1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -2],\n [2, -3, 0],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, 1],\n [0, 0, -2],\n [1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 3],\n [3, -2, 0],\n [2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 0],\n [0, -1, -1],\n [0, 0, -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^2 where A =\n[[-1, -3, -3],\n [0, 0, -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": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 0, -2],\n [0, 1, 0],\n [-2, 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[[0, 2, -2],\n [-2, 3, 2],\n [-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": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, -2, -2],\n [0, 2, 0],\n [0, 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^3 and find the value at position (3, 2) of the result:\nA =\n[[1, -2, 0],\n [-2, 0, 1],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-2, 2, -2],\n [2, -1, -2],\n [-2, -2, -1]]\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[[-3, -3, -1],\n [-3, 1, 3],\n [-2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, 2],\n [0, -2, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 1, -3],\n [1, -2, 0],\n [-3, 0, -2]]?\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[[-1, 1, 3],\n [1, 0, -2],\n [-2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, 0],\n [-2, 0, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[1, 0, 1],\n [0, -3, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 1, 2],\n [0, -2, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[0, -1, 0],\n [-1, 2, -2],\n [0, -2, -3]]\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^2 where A is:\n[[1, 0, -1],\n [0, 0, 0],\n [-1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 1, -3],\n [0, 2, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 1, 3],\n [1, -1, 2],\n [-3, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 1],\n [3, 3, 3],\n [3, 1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 0],\n [0, 0, 0],\n [2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[1, 0, -2],\n [0, 1, -1],\n [-2, -1, 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^2 where A =\n[[1, -2, 3],\n [0, 1, -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": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 0],\n [0, 3, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 0],\n [1, 2, 0],\n [2, -1, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, 1],\n [-2, -1, -1],\n [1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -2, 0],\n [-2, -1, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-2, -1, 3],\n [0, 2, -3],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -2],\n [-1, -2, -1],\n [-3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 1],\n [-3, 0, 0],\n [1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, -1],\n [-2, 2, 1],\n [-1, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -2],\n [-1, -1, -3],\n [-3, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -1],\n [2, 0, 2],\n [3, 1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 2],\n [0, 0, -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": "296", "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, 3, 0],\n [1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -3, -1],\n [0, 2, 3],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-2, 2, 1],\n [0, -2, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 2],\n [2, -2, 3],\n [1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, -3, -2],\n [0, 2, 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[[-3, 2, -3],\n [0, 3, -2],\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[[-3, 1, 0],\n [1, 1, -1],\n [0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-2, 1, -2],\n [0, -1, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, 1, 3],\n [0, -3, -2],\n [0, 0, 2]]?\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 (2, 1) of the result:\nA =\n[[-2, 1, -1],\n [0, 1, 0],\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 [3, -3, -2],\n [-2, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[2, -3, 2],\n [2, 3, 3],\n [-3, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 2],\n [3, 0, -2],\n [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": "386", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, -1],\n [-1, -1, 2],\n [-1, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[2, 0, -3],\n [-3, 3, -2],\n [2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 3],\n [3, -3, 0],\n [3, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 0, 1],\n [0, -1, 0],\n [1, 0, -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, -2, 1],\n [-3, 1, -3],\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": "198", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 1],\n [-2, -1, 1],\n [1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, 2, 1],\n [2, -3, 0],\n [-3, -1, -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 3th power of the matrix:\n[[-1, 1, 0],\n [1, -2, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -2],\n [0, -3, -2],\n [1, 3, 3]], 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 sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 0],\n [-1, -2, 1],\n [0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, -2],\n [1, 3, 3],\n [-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": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, -2],\n [0, 3, -2],\n [1, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, -2],\n [2, 1, -2],\n [-1, 0, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 3],\n [-2, -1, -1],\n [1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[1, -1, -1],\n [2, -3, -3],\n [3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-1, -3, 2],\n [-2, -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": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -1],\n [-2, 1, 0],\n [-1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, 2],\n [1, 1, -3],\n [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^3 where A =\n[[-3, -2, -1],\n [1, 2, 1],\n [1, -1, 3]], determine the value at position (3, 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 2th power of the matrix:\n[[-2, -2, 3],\n [-3, 2, -1],\n [-2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 3],\n [0, -1, 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": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, -3],\n [0, -3, 1],\n [0, 0, -2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -1],\n [-1, -1, -3],\n [3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, -2, 0],\n [0, -3, -3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, -1],\n [1, -3, -2],\n [-1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-268", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 2],\n [0, -2, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, -3],\n [0, -1, -1],\n [-3, 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": "For the matrix power A^3 where A =\n[[0, 1, -2],\n [-3, 0, 1],\n [3, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 0],\n [0, -3, -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": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, 2],\n [1, 3, 2],\n [0, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, -1],\n [3, -1, 0],\n [-1, -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 absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, -1],\n [-2, -1, 0],\n [-1, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -2, -1],\n [3, -1, -3],\n [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 absolute values of all entries of the matrix A^2 where A is:\n[[-2, 3, 2],\n [2, 2, -2],\n [0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, -3],\n [2, 0, 3],\n [0, 3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 1],\n [-1, -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": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 0, 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": "For the matrix power A^2 where A =\n[[-2, -1, 3],\n [-2, 2, 3],\n [-1, 1, -2]], determine the value at position (3, 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 value at position (2, 2) of the result:\nA =\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": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 1],\n [0, 3, -2],\n [1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "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],\n [0, -1, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, -3],\n [0, 1, 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": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 2],\n [0, 3, 2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "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, 0],\n [-2, 1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, -3, -3],\n [-1, 1, 1],\n [0, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-1, -1, -3],\n [0, -2, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 1],\n [1, -2, 0],\n [1, 2, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, 1, -2],\n [1, 1, -1],\n [-2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 2, -1],\n [0, -3, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 1],\n [0, 0, 2],\n [1, 2, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[0, 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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 2, 0],\n [-1, 3, 3],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "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, -3],\n [-2, -1, -2],\n [-3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 2],\n [0, -2, -2],\n [0, 0, -2]], 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^2 where A =\n[[2, 3, -3],\n [0, -2, -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": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, 0],\n [-1, 3, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -2],\n [-3, 1, -1],\n [-3, -2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-224", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-3, 1, 0],\n [1, 2, 1],\n [0, 1, -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[[-3, -2, -1],\n [0, -1, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 2, 0],\n [2, -3, -1],\n [0, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[1, 1, -2],\n [0, 1, 0],\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 value at position (3, 1) of the matrix A^2 where A is:\n[[-2, -3, -2],\n [0, 3, 3],\n [2, 3, 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 2th power of the matrix:\n[[-1, -2, -3],\n [0, -3, -3],\n [-2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[2, -2, 2],\n [-2, 0, 3],\n [1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, 3, 2],\n [1, -3, 2],\n [0, -2, -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 (1, 3) of the 2th power of the matrix:\n[[1, 1, -1],\n [1, -2, 1],\n [-1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, -1],\n [3, -1, -1],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 3, 3],\n [0, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[3, 0, -2],\n [0, 2, 3],\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 sum of all entries of the matrix A^3 where A is:\n[[1, 0, -1],\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": "For the matrix power A^3 where A =\n[[-3, -2, 3],\n [-2, -2, 0],\n [3, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "496", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -2, -2],\n [0, 3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-2, -1, 2],\n [0, -1, -1],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2],\n [-2, -2, 1],\n [-1, -2, 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 all entries of the matrix A^2 where A is:\n[[2, -1, -2],\n [-1, -2, -2],\n [-2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 3, 0],\n [0, -1, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 1],\n [2, -3, 1],\n [-1, 0, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, -2],\n [0, 3, 0],\n [0, 0, 0]]\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, -2, -2],\n [0, 0, 2],\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": "22", "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],\n [-1, -2, 2],\n [2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -2, -2],\n [-2, -2, -1],\n [-2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0],\n [-1, -2, 1],\n [0, 3, 0]]\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^2 where A is:\n[[1, 0, -1],\n [0, 2, 0],\n [-3, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, -1, -3],\n [0, 1, -1],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 2],\n [0, -2, -2],\n [2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 2],\n [-2, 0, 1],\n [2, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[0, -1, -1],\n [0, 2, -3],\n [0, 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^2 where A =\n[[2, 1, 0],\n [1, 0, -2],\n [0, -2, 0]], 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 sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 2],\n [0, 3, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, 1, -1],\n [1, 3, 0],\n [-1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, 1],\n [-3, 3, 3],\n [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": "106", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 2],\n [0, 2, -2],\n [2, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 0],\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": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -2, 0],\n [0, 1, 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 absolute values of all entries of the matrix A^2 where A is:\n[[-3, 1, -2],\n [-3, 3, 2],\n [-2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, -1],\n [-1, -1, 1],\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": "17", "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 [2, 1, 2],\n [-3, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 2],\n [2, 0, 1],\n [-3, -3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [0, -1, 2],\n [0, 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": "For the matrix power A^2 where A =\n[[1, 2, -2],\n [1, 1, 3],\n [-1, -2, 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": "For the matrix power A^2 where A =\n[[-2, -2, -1],\n [-3, 3, 1],\n [1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -3, -1],\n [3, 2, 0],\n [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": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, -2],\n [2, 1, -2],\n [-1, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 1],\n [0, -3, -2],\n [1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-119", "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 [-2, 0, -1],\n [-1, 0, -1]]\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 (2, 3) of the matrix A^2 where A is:\n[[0, 1, -2],\n [1, 2, 0],\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 sum of absolute values of all entries of the 3th 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": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[-2, 0, 3],\n [-3, 2, 1],\n [3, -3, 2]]\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[[1, 1, 1],\n [-1, 1, 3],\n [-1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "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, 2],\n [0, -1, -1],\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^3 where A =\n[[3, 0, 0],\n [0, 2, 1],\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": "69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, -1],\n [-2, -3, -3],\n [-1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "208", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -2, -3],\n [-2, -3, 1],\n [-1, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, 1],\n [0, -3, -1],\n [0, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2],\n [0, 1, 0],\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 (1, 2) of the 2th power of the matrix:\n[[1, 3, 1],\n [0, -3, -2],\n [0, 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 all entries of the matrix A^2 where A is:\n[[-3, -3, 3],\n [0, -2, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, 2],\n [0, 2, -1],\n [2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -2],\n [0, 0, 0],\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": "5", "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, -1, 2],\n [0, 0, -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, -1, -2],\n [-1, 3, 0],\n [-2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "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, 1, 2],\n [1, 2, 1],\n [2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, 0, -3],\n [0, 3, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 3],\n [2, 2, 2],\n [-2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-282", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[3, 1, 0],\n [1, 3, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -3, 1],\n [-2, 0, 0],\n [2, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, 2],\n [1, 3, -3],\n [0, 0, 1]], 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^3 where A =\n[[3, 3, 3],\n [-1, -2, -2],\n [1, 3, 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": "For the matrix power A^2 where A =\n[[-1, -3, 0],\n [0, 2, -2],\n [0, 1, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 3],\n [2, -3, 0],\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": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -2, 2],\n [0, -2, -1],\n [-2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -3],\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": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -3, -2],\n [0, 1, 0],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 1],\n [-2, -3, 2],\n [1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "491", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -1],\n [2, -1, 1],\n [-1, 1, 0]], 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": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -2, -1],\n [0, 2, -3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -1, 0],\n [0, -1, 2],\n [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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 2],\n [0, -2, -2],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -1],\n [0, -3, -2],\n [0, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, 0],\n [-1, 3, 3],\n [-3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 0],\n [2, 3, -1],\n [0, -1, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 0],\n [0, 2, 0],\n [0, 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[[-2, -3, -2],\n [0, 2, 0],\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^2 and find the value at position (3, 3) of the result:\nA =\n[[0, 0, 0],\n [0, -1, -1],\n [0, -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^3 where A is:\n[[-1, -2, 2],\n [-2, -1, -2],\n [-2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -1, -2],\n [-1, -1, -1],\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 sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -3, 3],\n [2, -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 value at position (3, 1) of the 3th power of the matrix:\n[[1, 2, -2],\n [2, 0, -2],\n [-2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, -1, 3],\n [0, -1, -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[[-1, 2, 3],\n [0, -1, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -1],\n [0, -3, 2],\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": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -3, -1],\n [0, -2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -1, 1],\n [-1, 3, 0],\n [1, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 3, 3],\n [3, 3, 2],\n [1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 1],\n [0, -1, -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": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -1, -3],\n [0, 2, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, -2, 2],\n [-2, 1, 0],\n [2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 1],\n [-3, 3, -2],\n [1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "406", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 2],\n [0, -2, -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": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 2],\n [-2, 0, -2],\n [-3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -1],\n [0, 0, 0],\n [0, 0, 3]]?\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, 2, 0],\n [2, -3, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -2, 1],\n [-1, -1, 2],\n [-2, -3, -2]]\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 value at position (3, 2) of the result:\nA =\n[[2, 0, 2],\n [0, 3, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th 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": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 2],\n [0, 2, 0],\n [0, 0, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, -2],\n [1, -1, -2],\n [-2, 0, 2]], 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": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-1, 2, -2],\n [2, 2, 2],\n [-2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, 1],\n [2, 3, 0],\n [1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "249", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 1],\n [0, 2, 1],\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": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 1, -1],\n [1, 3, 0],\n [-1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -1, 0],\n [-1, 0, -2],\n [0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 0, 3],\n [0, 2, -2],\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 sum of all entries of the matrix A^3 where A is:\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": "-58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2],\n [-2, -1, -1],\n [-2, -1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 3],\n [0, -2, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, -3],\n [1, 2, 1],\n [3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-3, 0, -2],\n [0, -3, 1],\n [-2, 1, 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 all entries of the matrix A^2 where A is:\n[[2, 2, 0],\n [0, -1, 1],\n [0, 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 sum of all entries of the result:\nA =\n[[0, 3, -2],\n [0, -1, -2],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 3],\n [-2, 1, -3],\n [-3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "263", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 1, 1],\n [0, -3, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 3],\n [3, 0, -2],\n [-1, -3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[2, 0, -1],\n [1, -2, 1],\n [-3, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 1, 0],\n [0, 2, -3],\n [2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, -3],\n [0, 2, -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": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 0, 1],\n [0, 1, 0],\n [1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -1, 0],\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": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[1, 2, 1],\n [1, 0, -2],\n [-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 2th power of the matrix:\n[[-2, -3, 0],\n [0, 2, -1],\n [-2, 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^3 where A =\n[[-2, -2, -1],\n [0, -3, 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": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, -3, 1],\n [2, 3, 3],\n [-3, 0, 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[[0, 0, 0],\n [0, 3, 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": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, -3, 0],\n [0, 0, -2]]\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[[-2, -2, 1],\n [0, 0, 1],\n [3, 2, -3]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 1],\n [0, 0, -1],\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 (3, 2) of the matrix A^2 where A is:\n[[-1, -3, -1],\n [0, 2, 1],\n [1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, 0],\n [-3, 1, 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": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -2, -1],\n [-2, -2, -2],\n [-1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, 2, 3],\n [2, -2, -3],\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^2 where A =\n[[-1, 1, -3],\n [-2, -2, 3],\n [1, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[0, 1, -1],\n [0, 0, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\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": "307", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -2, 0],\n [-2, 0, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 1],\n [0, 3, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 0],\n [2, 2, 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": "21", "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, 2, 0],\n [1, 0, 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 absolute values of all entries of the matrix A^3 where A is:\n[[2, -3, -2],\n [-3, -3, 0],\n [2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, -2],\n [-2, 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": "90", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, -1],\n [2, 2, 0],\n [-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": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 0, -2],\n [0, 2, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, 2],\n [2, -3, 2],\n [2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 0, 0],\n [0, 0, -2],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, 0],\n [0, -3, 0],\n [0, 0, 3]]\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[[-3, 1, -1],\n [3, -3, -1],\n [3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[2, 0, 0],\n [0, 0, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -1],\n [0, 1, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, 0],\n [1, 2, -1],\n [2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 1],\n [0, 0, -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": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 1, -3],\n [2, -2, -2],\n [-3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 0],\n [2, 1, -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": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 1, -2],\n [1, 0, -1],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "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, 0, 1],\n [0, 0, -1],\n [1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, -2],\n [0, -2, 3],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 3, 3],\n [0, -1, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, -3, 2],\n [0, 1, -2],\n [0, 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 sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 3],\n [0, 0, -2],\n [-3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 3, 0],\n [1, -1, 3],\n [-2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 1],\n [2, 0, 0],\n [1, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 3],\n [3, 3, -1],\n [1, 3, -1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -1, 1],\n [-1, -3, 0],\n [1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, 0],\n [1, 2, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, 2],\n [-1, -2, 1],\n [3, 0, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "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 [3, 1, 2],\n [-2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, 1, -3],\n [-3, 1, 0],\n [2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 2, 0],\n [-1, -1, -1],\n [0, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-3, 2, -3],\n [2, 0, -2],\n [-3, -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 value at position (3, 3) of the result:\nA =\n[[-3, 1, -2],\n [1, -3, 0],\n [-2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 3],\n [0, -2, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, 3],\n [1, -2, 3],\n [0, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 3, 1],\n [0, -1, -2],\n [0, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, -3],\n [0, 3, 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^2 where A =\n[[1, 3, 3],\n [0, -1, -2],\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": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 2, 0],\n [2, -2, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -1, 0],\n [3, -3, -1],\n [0, 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^3 where A is:\n[[0, 3, -1],\n [0, 2, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -2],\n [0, -2, -3],\n [-3, -2, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "384", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[1, 3, 1],\n [0, 2, 3],\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 absolute values of all entries of the result:\nA =\n[[2, -2, -2],\n [-2, -1, 3],\n [-2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -3, 2],\n [-3, -1, 1],\n [3, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 3],\n [2, 0, 2],\n [1, 1, 3]], determine the value at position (2, 1).\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[[-3, 2, -1],\n [2, 2, -2],\n [-1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, 2, -3],\n [-2, 1, -3],\n [3, -1, -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[[0, 0, 3],\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": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[3, 2, -1],\n [2, 1, 3],\n [-1, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -2],\n [0, 1, -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": "132", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 3],\n [1, -2, 1],\n [3, -1, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 0],\n [0, 2, 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^2 where A =\n[[1, 0, -2],\n [0, 2, 0],\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": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, 1, -3],\n [1, 2, 1],\n [-3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 0],\n [0, 2, -2],\n [3, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 0],\n [0, 0, 0],\n [1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[3, 3, 3],\n [0, 0, 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^2 and find the sum of all entries of the result:\nA =\n[[2, 0, 3],\n [0, -1, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0],\n [0, -2, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 0],\n [0, -3, -1],\n [0, 0, -2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 1, 1],\n [0, -3, 3],\n [0, 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^3 where A =\n[[-3, 0, 0],\n [0, 1, -2],\n [0, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, 1],\n [-3, -3, 3],\n [-1, -3, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[0, 0, 2],\n [0, 1, 0],\n [2, 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^2 and find the value at position (2, 2) of the result:\nA =\n[[-3, 0, -2],\n [0, -1, -2],\n [-2, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -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": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, -3, 2],\n [0, 2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 3, 1],\n [3, 1, 1],\n [1, 1, -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 (1, 2) of the matrix A^2 where A is:\n[[-1, 0, 0],\n [0, 2, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, 0],\n [1, -2, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, 0],\n [2, 3, -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 value at position (3, 1) of the matrix A^2 where A is:\n[[-1, -3, 2],\n [-1, 3, -2],\n [1, -1, -3]]?\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 2th power of the matrix:\n[[-3, -3, -3],\n [0, 1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 1],\n [-3, -2, -3],\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": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, 0, 0],\n [0, -3, -2],\n [0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 3],\n [0, 2, -1],\n [3, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 0],\n [3, -2, -1],\n [0, -1, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[-2, -3, -3],\n [-2, 0, -2],\n [3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -2, -1],\n [-2, -3, 3],\n [-1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-1, 2, -1],\n [0, -1, 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 3th power of the matrix:\n[[1, 0, -1],\n [0, 2, -2],\n [-1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, -3, 2],\n [-3, 3, -3],\n [2, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 2],\n [2, -3, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "269", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) 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": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 3, 3],\n [0, -3, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, 2, 2],\n [2, 3, -2],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 2, 1],\n [-1, -1, 2],\n [3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -1],\n [-1, -2, -1],\n [3, 1, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[-1, 2, 0],\n [-1, -1, 2],\n [0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 0],\n [1, 3, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-1, 1, 1],\n [0, -2, -2],\n [0, 0, 0]]\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[[0, -1, -3],\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": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, 2],\n [3, 2, -2],\n [2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "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 [2, 0, 2],\n [0, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-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": "-25", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[0, 0, 2],\n [0, -3, 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 sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 1],\n [-1, 2, 0],\n [2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[3, 2, -3],\n [-3, 2, 3],\n [-3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-2, -1, -1],\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": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[2, 1, -3],\n [1, -1, 1],\n [0, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 2],\n [0, 3, -2],\n [2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 2],\n [0, 3, -2],\n [2, -2, -1]], 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^2 and find the sum of all entries of the result:\nA =\n[[-3, -3, 0],\n [-2, 3, 2],\n [2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, 2],\n [-1, 1, 0],\n [2, 0, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, -2, -1],\n [0, -1, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 3, 1],\n [3, -1, 2],\n [1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "395", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, -2],\n [0, -1, 1],\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": "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[[-3, -2, -2],\n [0, 1, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[3, 1, 2],\n [0, 0, 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 all entries of the matrix A^3 where A is:\n[[1, 2, -3],\n [0, -2, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[0, -3, 1],\n [0, -2, -2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[3, 3, 2],\n [0, 0, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -2, 2],\n [0, 3, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-2, 0, 1],\n [0, 3, 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^2 where A is:\n[[0, 0, -3],\n [-2, 2, -1],\n [-3, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 3, 1],\n [0, 1, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, -2],\n [3, 1, -2],\n [-2, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, -1, 1],\n [0, -2, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[2, -3, 2],\n [0, 2, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[2, 2, 3],\n [0, -3, 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 value at position (2, 1) of the matrix A^2 where A is:\n[[1, -1, -2],\n [-1, -2, -1],\n [-2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[3, -2, 2],\n [2, 0, -3],\n [3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -3, -1],\n [0, 1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, -2],\n [0, 3, -3],\n [0, 0, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 2],\n [0, 3, 3],\n [-2, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 1, 0],\n [1, 1, 0],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 3],\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": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 1, 3],\n [-3, 0, 1],\n [3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[2, 3, 2],\n [3, 0, -3],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -1, 3],\n [0, -2, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, -1, -1],\n [0, -1, 2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -2],\n [0, 3, 3],\n [-2, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, -2],\n [0, -1, 1],\n [0, 0, 2]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [0, 1, -2],\n [0, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 2],\n [0, -3, 0],\n [0, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -1, -2],\n [0, -2, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 1],\n [0, -1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-3, -3, 1],\n [0, 1, -2],\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 value at position (3, 2) of the matrix A^3 where A is:\n[[-2, 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": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -2, 1],\n [3, 3, -2],\n [1, 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 all entries of the matrix A^3 where A is:\n[[-3, 1, -2],\n [0, -3, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 2, -2],\n [2, 2, -2],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -2, 1],\n [-2, 1, 0],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 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": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[2, 1, 2],\n [0, 2, 1],\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, -3, -1],\n [-1, -1, 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": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -3, 3],\n [0, -1, 2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 1],\n [0, -3, 1],\n [1, 1, 0]], determine the value at position (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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 1, 0],\n [1, 2, -1],\n [0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, -2],\n [0, 0, -1],\n [0, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -2, 0],\n [-2, 1, 0],\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^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, -2, 2],\n [-2, -1, -2],\n [2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 1],\n [-2, 2, 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": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -1],\n [-2, 0, 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": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[0, 0, 2],\n [0, 1, -2],\n [2, -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 absolute values of all entries of the 2th power of the matrix:\n[[1, 0, 1],\n [0, -1, -2],\n [0, 0, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -3],\n [0, 1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-2, -3, -3],\n [1, -3, -2],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[0, 2, -2],\n [1, 3, -3],\n [0, 3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, 0],\n [0, -3, 3],\n [0, 0, 1]], 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": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-2, 0, -2],\n [-2, 2, 0],\n [-1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, 1],\n [0, -3, -3],\n [-1, 2, 0]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [0, -2, 2],\n [0, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, -1],\n [0, 3, -1],\n [0, 0, -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": "For the matrix power A^3 where A =\n[[-3, -1, -2],\n [-1, -3, -1],\n [-3, 3, 0]], 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 3th power of the matrix:\n[[-1, 0, 2],\n [0, 1, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -3],\n [0, 3, 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": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[0, 1, 0],\n [1, -3, 2],\n [0, 2, 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 3th power of the matrix:\n[[-2, -2, 0],\n [-2, -1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-88", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -3],\n [-1, 2, -1],\n [2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-2, -1, 1],\n [-1, 3, 2],\n [1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -1, -1],\n [-1, 3, 2],\n [-1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, 1],\n [-1, 1, 2],\n [2, -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": "For the matrix power A^2 where A =\n[[1, 2, 1],\n [0, 1, 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": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -3, 3],\n [0, -1, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -2, 0],\n [1, 1, 3],\n [-1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -3, 0],\n [0, 1, 2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 1],\n [1, 3, 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": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -2],\n [-2, 2, -1],\n [1, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 0],\n [0, -3, 0],\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": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, -2, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -2, -1],\n [0, -2, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -2, -3],\n [2, -3, -1],\n [2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -1],\n [-2, -3, -3],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, 2],\n [-2, -2, 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": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 0, -2],\n [0, 0, 2],\n [-2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -2],\n [0, -3, 2],\n [0, 0, -1]], 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": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, 2, -3],\n [0, -2, 2],\n [-2, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[2, 0, -1],\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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 0],\n [0, -2, -2],\n [0, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[0, 0, 2],\n [1, 1, -1],\n [-3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, -2],\n [0, 0, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[2, 0, -2],\n [0, -1, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, -2],\n [3, -1, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "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, 2],\n [1, 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^2 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": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[2, -3, 3],\n [-3, 3, 2],\n [3, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-2, -2, 0],\n [-2, 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": "For the matrix power A^2 where A =\n[[1, 0, -1],\n [0, -1, -1],\n [-1, -1, 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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 2, -1],\n [2, 2, 0],\n [-1, 0, 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[[-1, 1, 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": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 1, 1],\n [0, -1, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[2, 0, -3],\n [-1, 3, 3],\n [1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, -2],\n [0, 2, 0],\n [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": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, 3],\n [-3, -2, -2],\n [1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, -1],\n [0, -1, 2],\n [2, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "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 all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[0, 0, 2],\n [0, 1, 0],\n [2, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 2],\n [0, 1, -1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, 2, 3],\n [0, 1, 3],\n [-1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, 0],\n [0, -1, -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": "14", "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, 2, -2],\n [2, -3, -2],\n [-2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 2],\n [-2, 0, 3],\n [1, 1, -2]], 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 value at position (2, 3) of the result:\nA =\n[[1, 2, -2],\n [2, 1, 3],\n [-2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -1],\n [1, 0, -1],\n [-1, -3, -2]], 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": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, 1],\n [0, 1, 0],\n [1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, -1],\n [-3, 2, -1],\n [1, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -1, -1],\n [1, 3, -2],\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 absolute values of all entries of the matrix A^2 where A is:\n[[-3, -2, 0],\n [-2, -2, -2],\n [0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, 0],\n [2, -1, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, -3],\n [-1, -2, 1],\n [1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, 1],\n [0, 3, 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": "23", "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 [0, 0, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, -3],\n [-2, 1, -3],\n [1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-1, -1, 3],\n [0, 3, 3],\n [3, -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, 1) of the 2th power of the matrix:\n[[0, 1, 1],\n [0, 0, 0],\n [0, 0, 0]]\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, 1) of the 2th 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": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-1, 1, -1],\n [0, 0, 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 all entries of the 3th power of the matrix:\n[[-3, -1, 0],\n [0, 3, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -2],\n [3, -1, 3],\n [3, 0, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 1],\n [2, 2, 2],\n [1, 2, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, -3],\n [2, -1, -2],\n [-3, -2, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 0],\n [0, 1, 1],\n [0, 1, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[0, 2, -3],\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^2 where A =\n[[2, 3, -3],\n [0, 2, -2],\n [0, 0, 2]], 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 3, -3],\n [2, 1, 0],\n [1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "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, 0, -2],\n [0, 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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 2],\n [0, 3, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -2, 0],\n [-2, 2, 2],\n [-3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "691", "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 [-3, 0, 0],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -2],\n [0, 0, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -2],\n [2, 1, 0],\n [-2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 2],\n [0, 0, 0],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -2],\n [2, -2, -3],\n [3, 3, 3]], determine the value at position (3, 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^2 where A is:\n[[-2, -1, 2],\n [-1, -2, 0],\n [2, 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 all entries of the 3th power of the matrix:\n[[-2, 1, -1],\n [0, 1, -1],\n [0, 0, 3]]\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[[-2, 0, 1],\n [0, 1, 2],\n [1, 2, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[3, -2, 2],\n [-2, 1, 2],\n [2, 2, -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[[3, -2, -3],\n [0, -2, -1],\n [0, 0, 0]]\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[[-2, -3, 2],\n [0, 3, 2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, 1],\n [1, -1, -2],\n [-2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -3, -1],\n [3, -1, 2],\n [-1, 3, -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[[1, -3, -2],\n [0, -3, 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": "48", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 3, 3],\n [0, 2, -1],\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 value at position (1, 1) of the result:\nA =\n[[-3, -3, 3],\n [0, 2, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, 2],\n [0, 2, 2],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, -1],\n [-1, 1, 2],\n [-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": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 0, 1],\n [0, 0, 0],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -1, -1],\n [0, -3, 1],\n [0, 0, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -3],\n [0, 1, -1],\n [0, 0, 0]]\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[[-2, -1, -2],\n [0, -1, -2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -3, -1],\n [-2, 0, -3],\n [2, 3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[0, 1, -1],\n [0, 2, -1],\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^2 and find the value at position (3, 3) of the result:\nA =\n[[0, 3, 3],\n [-2, 0, 2],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 0],\n [2, -3, 0],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[1, -3, -1],\n [-2, -2, 1],\n [3, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 1],\n [3, -2, 1],\n [3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 0],\n [0, 1, 1],\n [0, 1, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[0, 1, 0],\n [0, -1, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -3, 0],\n [0, 3, -2],\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": "39", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 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": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -2, 0],\n [-2, -2, 1],\n [0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, 3],\n [0, -2, 2],\n [0, 0, -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 absolute values of all entries of the result:\nA =\n[[1, -2, 0],\n [-2, -1, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, -3],\n [0, 3, 1],\n [0, 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^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -1],\n [0, 3, 0],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -1, -2],\n [0, 3, -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": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 0, 1],\n [2, 0, -1],\n [0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -2],\n [-2, 3, 2],\n [-2, 2, 0]], determine the value at position (3, 2).\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 (1, 1) of the matrix A^2 where A is:\n[[-2, -3, -2],\n [-2, 1, -3],\n [-2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-2, 1, 1],\n [1, 3, 0],\n [1, 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[[2, 2, 0],\n [2, -3, 2],\n [0, 2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 2, 0],\n [2, 0, 0],\n [0, 0, -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^2 and find the value at position (2, 3) of the result:\nA =\n[[-2, 0, 2],\n [0, 3, 2],\n [-1, -2, -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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 0],\n [0, -2, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 1],\n [3, -2, 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": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 1, 1],\n [-3, 3, -2],\n [1, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 3],\n [-2, 0, -3],\n [0, -3, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[2, 2, -2],\n [2, -2, 0],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\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": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 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": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -3],\n [0, 1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, 1],\n [3, -1, 0],\n [1, 0, 0]], determine the value at position (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^2 and find the value at position (1, 1) of the result:\nA =\n[[-3, 1, -2],\n [0, 1, 1],\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^2 where A =\n[[2, 3, 3],\n [-1, -1, 3],\n [-3, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, 0],\n [0, 3, 2],\n [0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 3, -1],\n [0, -1, 2],\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, 0, 0],\n [0, -3, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 0],\n [-1, -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": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -2, -2],\n [0, 1, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[2, 0, 2],\n [0, -1, -3],\n [2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "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, 2],\n [2, -1, 1],\n [2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 2],\n [0, 3, 2],\n [2, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, -3],\n [-2, 3, 0],\n [-3, -3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-295", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-1, -2, -1],\n [0, 1, -2],\n [0, 0, 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 absolute values of all entries of the matrix A^2 where A is:\n[[-3, 0, -3],\n [0, 3, 0],\n [-3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 1, -3],\n [0, -1, 3],\n [0, -3, -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[[2, 3, -1],\n [-3, -3, 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": "6", "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, 1],\n [2, -3, 3],\n [-3, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, -3],\n [-1, -1, 0],\n [-1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[1, -3, -1],\n [0, -1, -3],\n [0, 1, 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^2 where A =\n[[-3, -3, -2],\n [-3, -3, 1],\n [3, -3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "81", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, -1, 1],\n [-1, -2, -2],\n [1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 1, 0],\n [0, 0, 1],\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": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -1, 3],\n [0, -1, 0],\n [0, 0, -3]]\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[[1, 2, 0],\n [2, -1, -2],\n [0, -2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[1, -1, 1],\n [0, 2, -1],\n [3, 2, -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 absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, 0],\n [-2, 2, 2],\n [0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 0, 0],\n [0, 3, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -1, 0],\n [-1, 1, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-1, 0, 2],\n [0, 3, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, 2],\n [-3, 1, 2],\n [2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "435", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[-2, -2, 0],\n [0, 2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, 0],\n [3, -1, 2],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "319", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, -3],\n [0, -1, 3],\n [0, 0, 2]], determine the value at position (2, 2).\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 (2, 3) of the matrix A^3 where A is:\n[[1, 3, 1],\n [-2, 0, -1],\n [-3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 2, 3],\n [-2, 0, -1],\n [-3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -2],\n [0, 1, 0],\n [-2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 2],\n [0, 2, 2],\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": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 2, 1],\n [-2, -3, 3],\n [-2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 3],\n [0, 3, 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": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 0],\n [1, 3, 1],\n [0, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -2, -2],\n [-2, 3, 1],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-1, 2, -1],\n [1, 0, -2],\n [3, -2, -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^3 where A is:\n[[-3, 1, 2],\n [0, -2, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "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],\n [0, -1, 2],\n [-3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, -1, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\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": "254", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, 1],\n [1, -2, -1],\n [-1, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, -2, -2],\n [-3, -3, 1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 0],\n [0, 3, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 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": "-26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 2],\n [0, 3, -2],\n [2, -2, -3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, 2],\n [0, -3, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[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": "-46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 0],\n [0, 1, -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": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-3, -2, 1],\n [3, 0, -1],\n [2, 3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[3, -2, 1],\n [-2, 3, -1],\n [1, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -1],\n [0, -3, 0],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, 3],\n [2, 0, 1],\n [3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, -1],\n [2, 3, -3],\n [-2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -3, 3],\n [0, 2, -3],\n [0, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "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, 3, 2],\n [2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 1, 0],\n [0, -2, 3],\n [0, 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, 0, 0],\n [0, 0, 0],\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": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, -3],\n [-2, -2, 3],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 0],\n [-2, -1, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, -2, 2],\n [0, 0, 0],\n [-3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -1],\n [2, -3, -1],\n [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": "140", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[2, 2, 2],\n [2, 1, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-2, -1, -2],\n [-1, 3, -2],\n [-2, -2, 0]]\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 value at position (1, 1) of the result:\nA =\n[[1, 2, 1],\n [3, 2, 1],\n [2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[0, 2, 3],\n [-1, 3, 2],\n [-3, -2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-3, -1, -3],\n [0, -1, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 3, -3],\n [-2, 3, 3],\n [3, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, 2],\n [1, 1, 2],\n [2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "343", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[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": "127", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0],\n [0, 2, 0],\n [0, 0, -2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[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": "3", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -2, 2],\n [-2, -3, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[0, 0, 0],\n [0, 1, -2],\n [0, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "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],\n [0, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\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": "201", "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 [-3, -1, -2],\n [3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries 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": "-30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, 3],\n [-2, -3, 0],\n [3, 0, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 2],\n [0, 2, 0],\n [2, 0, 1]]?\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[[2, 1, -2],\n [-1, 0, -2],\n [2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[3, 0, -1],\n [0, 0, 0],\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^2 and find the value at position (3, 3) of the result:\nA =\n[[2, 0, 1],\n [0, 1, -2],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-3, -1, 1],\n [0, -3, 3],\n [0, 0, 0]]?\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 (3, 2) of the matrix A^3 where A is:\n[[2, 1, -1],\n [0, -2, 2],\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^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 0],\n [1, 0, -2],\n [0, -2, 0]]\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[[-2, 0, 1],\n [0, -3, 2],\n [0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -1, 0],\n [-1, 0, 2],\n [0, 2, -3]]?\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, 1) of the matrix A^3 where A is:\n[[-1, 0, -2],\n [0, -3, -3],\n [-2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, 3],\n [0, -2, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, -1],\n [-2, -3, 0],\n [-2, 3, -1]]?\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 2th power of the matrix:\n[[-1, 1, 3],\n [2, 0, -3],\n [-1, -2, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 0],\n [0, 0, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 1, -2],\n [1, 1, 0],\n [-2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, -1, 3],\n [-1, -1, 2],\n [-3, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, -1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [0, 0, -3],\n [0, 0, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -1],\n [0, 2, 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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -3, -3],\n [-3, -2, 1],\n [-2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "565", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 1, 0],\n [0, -1, -1],\n [0, 0, 3]]\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, 2],\n [-2, -2, 0],\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": "386", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 1],\n [0, -3, 3],\n [0, 0, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 3, -1],\n [0, 2, 0],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0],\n [0, -2, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[3, 2, 1],\n [0, 3, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, 2, 0],\n [2, 3, 0],\n [0, 0, 0]]\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 2th power of the matrix:\n[[2, 2, 0],\n [0, -2, 2],\n [0, 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 all entries of the 3th power of the matrix:\n[[-3, 0, -1],\n [0, 1, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 3, -2],\n [2, 3, -1],\n [3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, 1],\n [0, 3, -2],\n [0, 0, -3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, 0],\n [0, 0, 1],\n [0, 0, -2]]?\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, 0, -2],\n [0, 0, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 2],\n [2, 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": "394", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, 1],\n [3, -1, -1],\n [-3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, 1],\n [0, -2, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-1, -2, -3],\n [-2, -3, 1],\n [-3, 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 (1, 1) of the matrix A^3 where A is:\n[[3, 2, 3],\n [1, 1, -1],\n [-1, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 3],\n [3, -1, -1],\n [-3, -1, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "288", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 0],\n [0, 2, 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": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 2, -1],\n [0, 1, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, -2, -1],\n [-2, 3, 0],\n [-1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, 0],\n [-3, 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": "-33", "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, 1],\n [0, 1, 1],\n [1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, 0],\n [2, 0, 0],\n [0, 0, 3]]\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 3th power of the matrix:\n[[3, -3, 3],\n [2, 2, -2],\n [-2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 3],\n [0, -2, -3],\n [0, 0, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 2, -2],\n [2, -3, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 2],\n [-2, -3, 0],\n [2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 0, 0],\n [0, 1, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -3, -3],\n [2, 1, -2],\n [2, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "139", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, 2],\n [0, -1, 3],\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": "-1", "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 [2, 2, -3],\n [-3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-2, -2, 3],\n [0, 3, -2],\n [0, 0, 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[[2, -1, -2],\n [0, -2, 3],\n [0, 0, 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^2 where A =\n[[0, -1, 1],\n [-3, -1, 2],\n [-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": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 3, -1],\n [0, -3, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 2, 1],\n [2, -2, 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": "136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 2, 0],\n [-2, -2, 1],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -1],\n [0, -3, 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^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, 2, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\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": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 3],\n [3, 1, 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": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -3, 2],\n [0, 3, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-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": "55", "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, -3, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 1],\n [0, 1, 1],\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^3 and find the sum of all entries of the result:\nA =\n[[0, -2, 2],\n [0, 3, -2],\n [0, 0, -2]]\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, 2, -3],\n [-2, 2, -2],\n [-1, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 1],\n [0, -1, 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": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 0],\n [1, -3, 0],\n [0, 0, 2]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[3, 1, -1],\n [-2, 0, -3],\n [2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -2],\n [0, 0, -1],\n [-2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, -1],\n [0, 2, -2],\n [0, 0, -2]]?\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, 1],\n [-2, 1, 3],\n [3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, 0],\n [2, -1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, -1, 0],\n [-1, -2, 2],\n [0, 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, 0, 0],\n [0, 3, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -2],\n [0, -2, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[0, -3, -3],\n [0, 2, -1],\n [3, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[3, -2, 0],\n [-2, -3, 0],\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 all entries of the 3th power of the matrix:\n[[-2, -3, -1],\n [0, 3, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, 0],\n [-2, 0, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[0, -1, 3],\n [-3, 1, 3],\n [1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[3, -2, 2],\n [0, 1, 1],\n [3, -1, -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[[-1, -2, 2],\n [-2, 0, -2],\n [2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[1, -1, 3],\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^2 where A is:\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": "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, -1],\n [0, 1, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 0, 3],\n [0, 1, 0],\n [3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "131", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-3, -2, 0],\n [-2, 0, 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 absolute values of all entries of the matrix A^2 where A is:\n[[1, 3, 0],\n [0, 0, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, 3],\n [3, 3, -3],\n [-1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, 2],\n [0, -1, 1],\n [2, 1, 1]], determine the value at position (2, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, -2],\n [0, -2, 1],\n [-1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, -1, 0],\n [0, 0, 2]], 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^3 where A =\n[[-2, -2, 0],\n [-2, -2, -3],\n [0, -3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-242", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[2, -2, 2],\n [0, -3, 3],\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, -3, -2],\n [-3, 3, -2],\n [-2, -2, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 1, 0],\n [1, -1, -1],\n [0, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -3, 3],\n [1, -3, 0],\n [0, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-1, -3, 1],\n [0, 3, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 0, -1],\n [0, 1, 2],\n [-1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "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, 1, 3],\n [3, -1, 2],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -2],\n [-2, 0, -3],\n [-3, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -2],\n [-2, -2, 1],\n [-2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 2, 0],\n [3, 2, -1],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, -3, 3],\n [2, -3, 0],\n [2, 0, -3]]?\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 3th power of the matrix:\n[[3, -1, -2],\n [0, -1, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 3],\n [0, 3, -2],\n [0, 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^3 where A is:\n[[2, 3, 1],\n [-1, 1, 0],\n [-2, 0, 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[[-1, -3, 1],\n [0, 0, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, -1, -3],\n [0, 0, -3],\n [0, 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^2 where A =\n[[1, 1, 1],\n [0, -1, -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": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 2, -1],\n [2, 0, -3],\n [2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 3],\n [-2, -2, -1],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[1, -1, -1],\n [-3, -2, 2],\n [3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 1],\n [0, -2, 1],\n [-1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 3],\n [-1, 1, -2],\n [-2, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 3, -1],\n [0, 0, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 0],\n [1, 1, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 2, 2],\n [2, 3, 3],\n [-2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -3],\n [-1, 1, -1],\n [-3, -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": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -3, -3],\n [-3, 1, 3],\n [3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -1, 3],\n [0, -1, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-3, 2, -1],\n [0, -2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 0, 2],\n [0, 1, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 2, -1],\n [-1, -1, 1],\n [-3, -1, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -1],\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": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, -2],\n [-1, 1, 1],\n [-2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -3, -3],\n [0, 2, -2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-2, 0, -1],\n [0, -3, 2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -1, 1],\n [0, 0, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, 2, -2],\n [1, 3, 2],\n [2, 1, -1]]\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, -2, 0],\n [-2, -1, -3],\n [0, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 1],\n [2, -1, -2],\n [1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, 3, -3],\n [-3, 0, 1],\n [-1, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, 3],\n [2, 2, 2],\n [-3, -1, 1]], determine the value at position (1, 1).\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[[0, -1, 1],\n [-1, 0, 2],\n [1, 2, 3]]\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^2 where A is:\n[[-3, 2, 2],\n [-1, 3, 3],\n [-1, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, -2],\n [0, -2, -2],\n [0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[3, -3, 0],\n [0, 3, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -3, 1],\n [0, 1, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -1, 3],\n [3, 3, 2],\n [2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -1, 0],\n [-1, 1, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[0, 2, 2],\n [2, 0, 1],\n [2, 1, -3]]?\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, -2, 3],\n [0, 1, 3],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, -3, 1],\n [0, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 1, 3],\n [0, -1, -3],\n [0, 0, -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 absolute values of all entries of the matrix A^3 where A is:\n[[1, -1, 2],\n [-2, 1, 3],\n [2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, 1, 0],\n [0, 1, -3],\n [0, 0, 0]]\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 absolute values of all entries of the result:\nA =\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": "27", "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],\n [0, 1, 0],\n [0, 0, 1]]?\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, 0, -1],\n [2, -1, 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": "101", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[1, 0, 1],\n [0, -2, 2],\n [1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -2, 0],\n [-2, -2, -1],\n [0, -1, -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 all entries of the matrix A^3 where A is:\n[[1, 0, -1],\n [0, 2, 0],\n [-1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, -3],\n [0, 0, -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": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[3, -1, 0],\n [2, 2, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, 2],\n [-1, -2, -3],\n [2, -3, 1]]\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 2th power of the matrix:\n[[-2, 1, -2],\n [1, -2, 3],\n [-3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 0],\n [0, 2, 1],\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": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[0, -2, 2],\n [0, -3, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 1, -1],\n [1, 3, 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": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, 3],\n [-3, -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": "-16", "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, 1],\n [2, 2, 0],\n [1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[2, 1, -2],\n [0, 3, 2],\n [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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -3],\n [0, 2, 2],\n [0, 0, 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 value at position (2, 3) of the result:\nA =\n[[-3, 2, -3],\n [2, 3, 1],\n [-1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -2, 1],\n [-2, -2, 2],\n [1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 3, 2],\n [0, 1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 0],\n [0, -3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 0],\n [2, -3, -1],\n [0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, 1, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[-3, 0, 0],\n [0, 3, -1],\n [0, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, -3],\n [0, -1, 2],\n [-3, 2, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-123", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 1, -2],\n [0, -1, -3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 1],\n [0, 0, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[2, -3, 0],\n [0, 0, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 0, 1],\n [0, 2, 3],\n [0, 0, -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 absolute values of all entries of the matrix A^2 where A is:\n[[3, 2, 0],\n [2, -3, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -1],\n [0, 0, 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": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[2, 1, 0],\n [1, 3, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, -1],\n [-3, 0, -3],\n [-3, 3, 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, 1) of the 2th power of the matrix:\n[[-1, 3, -2],\n [1, 0, 1],\n [0, -2, 0]]\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 2th power of the matrix:\n[[2, 0, 0],\n [0, 2, 0],\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 all entries of the result:\nA =\n[[0, -3, 3],\n [3, 3, 0],\n [-1, 2, 0]]\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 all entries of the result:\nA =\n[[-2, -1, 0],\n [-1, -3, 1],\n [0, 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 3th power of the matrix:\n[[-3, 1, -2],\n [0, -2, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -1, 0],\n [-1, 3, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[2, 0, -3],\n [0, 3, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[3, -1, 1],\n [-1, -2, -3],\n [1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, -1],\n [1, -2, 0],\n [-1, 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, 2],\n [0, -2, 0],\n [2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, 2, 2],\n [2, 3, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 2, -1],\n [-1, 2, -1],\n [3, 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^3 and find the value at position (2, 1) of the result:\nA =\n[[0, -1, -3],\n [-2, 3, 1],\n [3, 0, 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^3 and find the sum of all entries of the result:\nA =\n[[2, -3, -1],\n [0, -1, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-1, 0, -1],\n [0, 1, 2],\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 all entries of the 2th power of the matrix:\n[[2, -1, -3],\n [0, -2, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 3, 0],\n [0, -1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[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": "76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[2, 1, -3],\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": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0],\n [-2, -1, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 3, 3],\n [2, 2, 2],\n [3, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1224", "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, 0, 0],\n [0, 2, 2],\n [0, 2, -2]]\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 2th power of the matrix:\n[[-1, 3, 0],\n [0, 1, -2],\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, 2) of the 3th power of the matrix:\n[[0, -2, 0],\n [-2, -2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, 2, -2],\n [0, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, -1, -3],\n [1, 2, -1],\n [3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, -1],\n [0, 0, 2],\n [-1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 2],\n [1, 2, 0],\n [2, 0, -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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2],\n [0, -2, 2],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 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, 1, -2],\n [0, -1, 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": "56", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, 0],\n [1, 2, -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": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -3, -3],\n [2, 1, 1],\n [1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, 1, 2],\n [1, -3, -1],\n [-2, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -1, 1],\n [0, -1, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-3, -3, -1],\n [-3, -1, 2],\n [-1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 1],\n [2, -1, 1],\n [-2, 1, 3]], determine the value at position (2, 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 all entries of the matrix A^3 where A is:\n[[0, -3, 2],\n [2, -3, -2],\n [2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -3, 1],\n [0, 3, -1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[3, 2, 2],\n [2, 1, 1],\n [2, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0],\n [0, -1, 0],\n [0, 0, 2]], 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^3 where A =\n[[2, 3, 2],\n [3, -2, 3],\n [-3, 0, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -3],\n [0, 0, 2],\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^3 and find the value at position (3, 1) of the result:\nA =\n[[-2, -2, 0],\n [-2, -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": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 0, 3],\n [0, -2, 3],\n [-2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 2],\n [-3, 1, -1],\n [-2, 3, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -1],\n [0, -2, 0],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, -3, -1],\n [-2, 1, 1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[2, 3, -2],\n [0, -2, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -1, 1],\n [-1, -2, -2],\n [1, -2, 3]]\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[[3, -2, 0],\n [-2, 2, 0],\n [0, 0, -2]]?\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 (3, 1) of the matrix A^3 where A is:\n[[-2, 0, 1],\n [0, 3, 0],\n [1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 0, 1],\n [0, 0, -2],\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^3 where A is:\n[[2, -2, -2],\n [-2, -2, 1],\n [-2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -2],\n [3, -1, 3],\n [-1, -3, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, -1],\n [-2, -1, -1],\n [2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "295", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, -1],\n [0, -3, 2],\n [2, 3, 3]], determine the value at position (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^2 where A =\n[[1, -1, 3],\n [0, -1, 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": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 2, -1],\n [2, -1, 1],\n [-1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 1, 1],\n [0, 3, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-2, 2, -3],\n [2, 1, 0],\n [-3, 0, 0]]\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^3 where A is:\n[[2, 3, 1],\n [-1, -1, 3],\n [3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 3],\n [0, -1, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 0],\n [0, 3, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -1, 1],\n [-2, -2, 0],\n [-2, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, -1, -1],\n [0, 2, -3],\n [0, 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, -3, 3],\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": "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, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 1, 3],\n [-3, 0, 3],\n [-1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, 2],\n [0, -2, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -3, 0],\n [0, -1, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -2, -3],\n [0, 0, 3],\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": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 0],\n [0, 1, -3],\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": "For the matrix power A^2 where A =\n[[2, -2, -2],\n [-2, 2, -3],\n [-2, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 3, 1],\n [-2, 1, -1],\n [-3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -1, 3],\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^2 where A =\n[[-3, 2, 1],\n [0, 0, 3],\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": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, 2],\n [2, 2, -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": "210", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, -3, -3],\n [3, -1, 1],\n [3, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-39", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 1],\n [-1, 0, -2],\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": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[3, 2, 0],\n [0, -2, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-3, 2, 2],\n [2, 3, -3],\n [2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[2, 3, 3],\n [0, -1, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[0, 1, -1],\n [2, -1, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, 1, 0],\n [1, 0, -2],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 1, 2],\n [0, -1, -3],\n [0, 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 2th power of the matrix:\n[[0, 2, 2],\n [2, -2, 2],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, -1],\n [0, -2, 0],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[0, 1, 2],\n [0, 1, -3],\n [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 value at position (2, 3) of the result:\nA =\n[[-2, -1, -3],\n [0, -2, 1],\n [-1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\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": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -2],\n [-2, -3, 2],\n [2, 3, 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^3 where A =\n[[-2, -3, 3],\n [0, -1, -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": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, -1],\n [0, -1, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -2, 3],\n [-1, 2, 2],\n [3, -3, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 2, 2],\n [-3, -2, -2],\n [2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, 0],\n [2, 0, -3],\n [0, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -1, 0],\n [1, 1, 2],\n [-3, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[2, 0, 1],\n [0, 3, 0],\n [1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-2, 0, 2],\n [0, 0, -1],\n [2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-3, 2, 0],\n [2, -3, -1],\n [0, -1, 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 3th power of the matrix:\n[[1, -2, -2],\n [-2, 0, -1],\n [-2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, -1, -1],\n [0, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, -1, -1],\n [0, 2, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, -1],\n [2, -2, 0],\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^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0],\n [0, 0, 2],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, -1],\n [-2, 1, 2],\n [-1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -3, -2],\n [1, 2, -1],\n [1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 0],\n [-2, -2, 3],\n [0, 3, 0]], 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": "For the matrix power A^2 where A =\n[[0, 2, -3],\n [0, -3, 3],\n [0, 0, 1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [0, -3, 0],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, 0],\n [2, -2, -3],\n [-3, -3, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, -2],\n [0, -2, -1],\n [-2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 2],\n [1, 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": "43", "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 [-2, -1, -3],\n [-1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 0, 1],\n [0, -2, 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": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2],\n [2, 3, 0],\n [2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, -2, 0],\n [-2, 0, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -3],\n [-2, 3, -1],\n [1, -1, -2]], 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 sum of all entries of the matrix A^2 where A is:\n[[-3, -3, -2],\n [0, -3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 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": "145", "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, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2],\n [0, 0, 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": "144", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, -3],\n [-2, 0, 1],\n [-1, 2, 1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 1],\n [-3, -1, 3],\n [0, 3, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "326", "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, -3, -3],\n [3, 3, 0]]\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 2th power of the matrix:\n[[1, -2, 3],\n [-2, 0, 0],\n [2, 2, 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^2 where A is:\n[[-1, -1, 1],\n [0, -3, 0],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 2],\n [0, 2, 2],\n [0, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, -3],\n [0, -2, 2],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -2, 2],\n [-2, -1, 0],\n [2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, -1],\n [0, 3, -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": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, 2],\n [1, 2, 1],\n [2, 1, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 3, 2],\n [0, 3, 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": "84", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, -2, -2],\n [0, 2, -3],\n [0, 0, 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 sum of absolute values of all entries of the result:\nA =\n[[1, 1, 0],\n [0, 2, -2],\n [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[[0, 0, -2],\n [0, 1, 0],\n [-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 (2, 2) of the 3th power of the matrix:\n[[-1, 1, 2],\n [0, 3, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -1, -2],\n [-2, 2, 2],\n [-3, 3, 1]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, 0],\n [2, 3, -2],\n [0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 1],\n [0, 3, -3],\n [0, 0, -2]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, -2, -1],\n [0, 3, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 0, 1],\n [0, 1, 0],\n [1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[-3, -2, -1],\n [2, 0, -2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[1, -3, -3],\n [-1, 3, 0],\n [1, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[1, -3, 1],\n [0, 2, 0],\n [-1, -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 (1, 3) of the 3th power of the matrix:\n[[2, 2, -3],\n [1, 3, 1],\n [0, -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^2 and find the sum of all entries of the result:\nA =\n[[2, 2, -1],\n [1, 3, -3],\n [-3, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 2, 1],\n [1, 2, -1],\n [3, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[-3, 0, 0],\n [0, 0, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, -2],\n [-1, 2, 2],\n [-2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 3, -2],\n [0, 2, 3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 3, -1],\n [0, -2, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 2, -2],\n [-3, 0, -2],\n [-3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 3, -2],\n [2, -3, 1],\n [-2, -1, 0]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -2, -3],\n [0, 0, -1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[1, 3, 1],\n [1, -1, -3],\n [1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [0, 3, 3],\n [-1, 3, 1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 3],\n [2, 2, 0],\n [3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-1, 1, 0],\n [0, 3, 2],\n [3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 1, -2],\n [0, -1, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -1],\n [0, 0, 0],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, 0],\n [1, -2, -2],\n [0, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[-2, -2, -3],\n [-1, -2, 2],\n [1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 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": "For the matrix power A^3 where A =\n[[-3, 2, 0],\n [2, -1, 2],\n [0, 2, 3]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 2, 3],\n [0, 0, 2],\n [0, 0, -2]], 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": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[1, 0, 2],\n [0, -1, 0],\n [2, 0, 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^3 and find the sum of all entries of the result:\nA =\n[[2, 1, -1],\n [-1, 0, 3],\n [3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -3, 2],\n [-3, 3, 3],\n [2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "763", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[3, 3, 3],\n [0, 1, 1],\n [-1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 2, -2],\n [0, 2, 3],\n [0, 0, 0]], 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": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[3, 2, -1],\n [2, 2, 0],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[0, -1, -1],\n [2, 1, -3],\n [-2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[3, -2, -2],\n [3, 0, 2],\n [-2, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, -2],\n [3, 3, -2],\n [1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 3, 0],\n [0, 0, -2],\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, -2, 0],\n [-2, 3, 0],\n [0, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 2],\n [0, -3, 2],\n [2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-3, -3, 2],\n [0, -2, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, -1],\n [0, 2, 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": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 2, -2],\n [2, 0, -2],\n [-2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, 1, -1],\n [3, -2, -1],\n [-2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, 2],\n [2, 0, -3],\n [2, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 0, 0],\n [0, 2, 0],\n [0, 0, 2]]?\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 value at position (3, 3) of the result:\nA =\n[[-1, 0, 0],\n [0, -1, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 0],\n [3, 2, 1],\n [-2, 3, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0],\n [0, -1, 0],\n [0, 0, 2]]\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[[-2, 2, 1],\n [2, -1, 2],\n [1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 3, 0],\n [2, 0, 2],\n [3, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 0, -2],\n [0, -3, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, -1],\n [0, 1, -2],\n [-1, -2, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "121", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 3, 2],\n [3, -3, -2],\n [2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 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": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[-1, -2, 0],\n [-2, -3, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[1, -1, -1],\n [1, 0, 1],\n [0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 0, 0],\n [0, 0, 1],\n [0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[-1, 1, -3],\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": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-1, -1, -2],\n [-1, -3, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, -1, 1],\n [-3, -3, 1],\n [1, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 3, 1],\n [1, 2, 0],\n [2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 1],\n [1, -3, -1],\n [-2, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[2, 3, 3],\n [0, -3, 2],\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^2 and find the sum of all entries of the result:\nA =\n[[1, 0, -2],\n [0, -2, 2],\n [-2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-2, 2, 0],\n [2, 0, 2],\n [0, 2, 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 all entries of the matrix A^2 where A is:\n[[-1, 1, -1],\n [1, 0, 2],\n [0, 1, 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, 2, -1],\n [0, -1, -3],\n [0, 0, -1]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, -3, 2],\n [1, 2, -3],\n [-1, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 1, -1],\n [1, 3, -3],\n [3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[0, -2, 2],\n [-3, 2, -3],\n [-1, -2, 2]]\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 3th power of the matrix:\n[[-1, 0, -2],\n [0, 1, -1],\n [-2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[2, -3, -2],\n [0, -2, -1],\n [0, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 2],\n [0, -3, -1],\n [0, 3, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 1],\n [1, 2, -3],\n [-2, 1, 2]], 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": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 0],\n [0, 0, 2],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\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": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, -3],\n [0, -3, -2],\n [2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, 1],\n [-2, 3, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 3],\n [0, 3, -3],\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": "For the matrix power A^2 where A =\n[[-2, 0, 0],\n [0, 3, -1],\n [0, -1, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, -1],\n [0, 3, 3],\n [0, 0, 0]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\n[[2, -1, 1],\n [0, 0, -2],\n [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 (1, 2) of the matrix A^2 where A is:\n[[-3, 2, 0],\n [0, 0, 2],\n [0, 0, 0]]?\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[[3, -1, 2],\n [-1, -2, -2],\n [2, -2, 0]]?\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[[0, 3, 3],\n [0, 1, 0],\n [0, 0, -2]], 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[[3, 0, -1],\n [0, -2, 0],\n [-1, 0, -1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 3, -3],\n [2, -1, 0],\n [-2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, 0, -1],\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": "For the matrix power A^3 where A =\n[[2, -3, 0],\n [-3, 1, 1],\n [3, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0],\n [-2, 0, 2],\n [0, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, -3],\n [0, 3, -3],\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": "90", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 2, -3],\n [0, -2, 1],\n [0, 0, 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[[-1, 2, -2],\n [0, -2, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -2, -2],\n [-2, -2, -1],\n [-2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[2, 0, 3],\n [-3, 2, 1],\n [-1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 1, 0],\n [0, 3, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, 3, -3],\n [0, 3, 0],\n [0, 0, -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 (3, 2) of the matrix A^2 where A is:\n[[-3, 3, 0],\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": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 1, -3],\n [0, 3, -1],\n [0, 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^3 where A =\n[[0, 1, 1],\n [0, 2, 3],\n [-1, -1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, -2],\n [0, 0, -1],\n [0, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^3 where A is:\n[[-1, 0, 1],\n [0, -3, 0],\n [1, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 1],\n [0, 0, 2],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, 0],\n [1, 2, 3],\n [1, 1, -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": "For the matrix power A^2 where A =\n[[-3, 3, -3],\n [0, 3, 1],\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": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[3, 0, 0],\n [0, 0, -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^3 where A =\n[[-3, 1, -2],\n [0, 0, -3],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 3, -2],\n [3, -1, 0],\n [-2, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, -1],\n [-3, 2, 0],\n [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": "101", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, -1],\n [-2, 3, -2],\n [-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": "62", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -2],\n [1, 0, -2],\n [-2, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 3, 3],\n [0, -3, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, -2],\n [0, -1, 1],\n [-2, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -1, 0],\n [-1, 2, 2],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, 3],\n [0, 2, 3],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 2, -2],\n [0, 1, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, 0],\n [2, 2, 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": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, 1],\n [-3, 0, -3],\n [-3, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -1],\n [0, 0, 2],\n [-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": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[3, 1, -1],\n [3, 3, -2],\n [-3, -1, -2]]\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 (3, 1) of the matrix A^2 where A is:\n[[2, 1, -2],\n [0, -3, -2],\n [0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 1, 2],\n [0, -2, -3],\n [0, 0, -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^2 and find the value at position (2, 1) of the result:\nA =\n[[0, -2, -1],\n [-2, -3, 2],\n [-1, 2, 3]]\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[[2, -2, 0],\n [-2, 1, 0],\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[[1, 3, 3],\n [0, 2, -2],\n [0, 0, -3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[-1, 0, 0],\n [0, -1, 2],\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^3 and find the sum of all entries of the result:\nA =\n[[2, -2, 1],\n [0, -1, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, 3, 1],\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 sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, 2],\n [0, -1, 0],\n [0, 0, 2]]\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[[-3, -2, -3],\n [-3, 0, 1],\n [2, 3, 1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, -1],\n [1, 1, -3],\n [1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-3, 2, 3],\n [-3, 2, -3],\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^3 and find the sum of all entries of the result:\nA =\n[[0, 2, -2],\n [2, -1, -2],\n [-2, -2, -3]]\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^2 where A is:\n[[3, -3, -3],\n [2, -1, -3],\n [3, 1, 0]]?\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 2th power of the matrix:\n[[3, -3, -1],\n [2, 2, 3],\n [1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 3, -1],\n [-1, 0, 0],\n [1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-1, -2, 0],\n [0, -2, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 3, -1],\n [-1, -1, 0],\n [-1, -3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 1, 1],\n [0, -1, 0],\n [1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, 1],\n [0, -3, 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": "101", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\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": "For the matrix power A^2 where A =\n[[-2, -1, 1],\n [0, 0, -1],\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": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 3th power of the matrix:\n[[3, -2, 3],\n [-1, 2, -3],\n [3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 3, -1],\n [0, 2, 0],\n [-2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -2],\n [0, -3, 2],\n [-3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 0, 0],\n [0, -1, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, -2],\n [0, 0, 0],\n [-2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "99", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\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": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -2, 1],\n [-3, 3, 1],\n [-3, 1, -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 (2, 2) of the 3th power of the matrix:\n[[-2, 3, -3],\n [0, 0, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 2],\n [3, 0, 3],\n [2, -3, -2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 2, 0],\n [2, 1, -1],\n [0, -1, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 3],\n [1, 3, 3],\n [-3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-3, 0, 0],\n [0, 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^2 where A =\n[[-1, -2, -2],\n [-2, -2, 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": "42", "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 [0, -2, 1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "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 [-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 all entries of the 2th power of the matrix:\n[[3, 0, 0],\n [0, -2, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 1, -1],\n [-1, 2, -2],\n [-2, 1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 2],\n [2, -2, 0],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, 3],\n [0, -2, -2],\n [0, 0, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, -2, 0],\n [-2, 3, 0],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "145", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, -2],\n [-2, 2, 2],\n [-2, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -1],\n [0, 2, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, 3],\n [-1, -1, -1],\n [1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[2, 0, -3],\n [0, 1, 1],\n [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 all entries of the result:\nA =\n[[1, -2, -2],\n [-1, 2, 0],\n [-1, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 1, 0],\n [1, 1, -2],\n [0, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 2],\n [0, -2, -2],\n [2, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -1],\n [0, 3, 3],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-1, -2, -2],\n [-2, -2, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-3, 2, 0],\n [2, 2, 1],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, 0, -3],\n [0, 3, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 3, -3],\n [-2, 2, 0],\n [-1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 3, 3],\n [0, 0, -2],\n [0, 0, 2]], 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^2 where A =\n[[2, 0, 3],\n [-1, 1, 2],\n [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": "34", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, -1],\n [-3, -1, -1],\n [2, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 3],\n [0, -2, -2],\n [0, 0, 3]]\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[[-1, -1, 0],\n [-3, 2, 1],\n [-1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -3, 3],\n [0, -1, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 2, 1],\n [-3, 0, 0],\n [-2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-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": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 3],\n [-2, -3, -3],\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": "186", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, -1, 1],\n [-2, 0, -2],\n [-3, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[2, 3, -3],\n [0, -2, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, 1],\n [3, 1, -3],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 0],\n [0, -1, 1],\n [0, 1, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 3, -3],\n [3, -1, 1],\n [0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "151", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, -1, 2],\n [0, 1, -1],\n [0, 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^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 1, -2],\n [1, 1, 0],\n [-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 sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -1, -2],\n [0, -3, 3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, -2],\n [0, -3, 0],\n [-2, -2, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "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 [0, 1, 0],\n [-3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, -1],\n [-2, -1, 1],\n [3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, 1, 1],\n [0, 1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 2, -2],\n [2, 0, -2],\n [-2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[3, 0, -2],\n [-1, 0, 1],\n [3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[2, 0, 0],\n [0, -1, 2],\n [-3, 1, -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^2 where A =\n[[3, -3, 1],\n [1, 3, 0],\n [-2, 3, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[0, 0, 0],\n [0, 3, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, -1],\n [-3, 2, 0],\n [-3, -1, -1]]?\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^2 where A is:\n[[3, -3, 3],\n [0, -1, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[0, 2, 1],\n [0, 2, -2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-2, -1, -2],\n [-1, 2, 0],\n [-2, 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^3 where A =\n[[3, 3, 2],\n [1, -1, -3],\n [2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 0, -2],\n [3, 1, -3],\n [2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, -2],\n [-2, 0, 0],\n [-2, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 2, 0],\n [2, 3, 1],\n [0, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 1],\n [0, 3, 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": "105", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-1, -2, 2],\n [-2, 3, -2],\n [2, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[0, 1, 0],\n [1, -3, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 1],\n [-3, -1, 1],\n [1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 2],\n [0, 0, -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": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 0],\n [2, 1, 2],\n [0, 1, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, 2],\n [-3, 1, 0],\n [3, -3, 0]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 1],\n [3, -1, -3],\n [3, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, 0],\n [2, 3, 3],\n [0, 3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "460", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, -2, 3],\n [-2, -2, 2],\n [3, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 0, -3],\n [0, -3, -3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, 2],\n [-2, -2, -1],\n [3, 3, 2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 0],\n [1, -3, 2],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 3],\n [-3, 1, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "366", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 3],\n [0, 0, 0],\n [3, 0, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, -3],\n [-1, -1, 1],\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 value at position (1, 1) of the 3th power of the matrix:\n[[-1, 1, 3],\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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 1, 0],\n [1, -3, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 2, -3],\n [2, 3, 2],\n [-3, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "327", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[2, 1, 1],\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 sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 1],\n [2, -2, 0],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -2, -2],\n [-1, -2, 0],\n [-2, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[3, -3, 3],\n [-2, -3, -3],\n [-1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [1, 2, 1],\n [-3, -3, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -3, -1],\n [0, 3, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[1, 1, -1],\n [-2, -2, 0],\n [-1, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, 3],\n [0, 2, 1],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, -2, 3],\n [-1, 3, 1],\n [0, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 0],\n [0, 0, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 3, 3],\n [0, -2, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -1, 2],\n [0, 2, 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": "18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, 0],\n [1, -2, -3],\n [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": "233", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-3, 0, -2],\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": "For the matrix power A^3 where A =\n[[-1, 0, 0],\n [0, -2, -2],\n [0, -2, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 0],\n [0, 1, -2],\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 absolute values of all entries of the matrix A^3 where A is:\n[[-2, -1, -3],\n [1, 0, 0],\n [-3, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "228", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -1, 3],\n [0, 1, -3],\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": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-3, 2, 0],\n [2, -3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, -1, 0],\n [-1, 3, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 2, 1],\n [-1, 1, 2],\n [-2, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 1],\n [0, 1, 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": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 0],\n [-2, -1, 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": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -2, 2],\n [-2, -2, 2],\n [2, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 3],\n [0, 3, 1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[1, 0, -1],\n [0, 3, 2],\n [1, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-3, 0, -2],\n [1, -2, -2],\n [-3, 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 all entries of the 3th power of the matrix:\n[[-3, -2, -1],\n [-1, -1, -1],\n [-3, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-209", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, 0, -2],\n [0, -1, -1],\n [-2, -1, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 0],\n [0, 2, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-2, 0, 0],\n [3, 1, 0],\n [0, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 2],\n [0, 3, 0],\n [-1, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[-3, 1, -1],\n [3, -2, 2],\n [2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -1],\n [0, 3, 2],\n [0, 0, 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[[-2, -1, -3],\n [3, -2, 1],\n [-3, -1, 2]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -3, 2],\n [1, -1, 3],\n [-1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -1, 1],\n [0, -1, 2],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 1, 0],\n [1, 1, 0],\n [0, 0, -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 2th power of the matrix:\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": "29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -1, 2],\n [-1, 0, -2],\n [2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, 1, -1],\n [0, -2, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 1, -1],\n [1, 0, 2],\n [-1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "71", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -1, 0],\n [-1, -2, 0],\n [0, 0, 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 2th power of the matrix:\n[[0, 3, 3],\n [3, -2, 3],\n [2, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 1, 3],\n [-3, 1, 0],\n [0, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "338", "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 [3, 0, 2],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[1, -2, 0],\n [2, -2, -3],\n [-2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "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 [-3, 2, 0],\n [-3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 1, 3],\n [-1, 1, 0],\n [1, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th 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": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, 0],\n [0, 0, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-3, 0, 0],\n [0, -3, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 0],\n [-2, 2, -3],\n [-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": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[3, 0, 0],\n [0, -3, 1],\n [0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 2, 2],\n [3, -1, 2],\n [-3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 1, 1],\n [0, 1, 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, 1) of the 2th power of the matrix:\n[[1, 3, 2],\n [3, 1, 3],\n [-1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\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": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 2, 0],\n [0, 1, -1],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -2],\n [0, -1, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[0, -2, -2],\n [0, 0, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, 0, 2],\n [0, 1, -2],\n [2, -2, 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^2 where A is:\n[[3, -3, -3],\n [-1, 3, 3],\n [-2, 1, 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 3th power of the matrix:\n[[-2, 1, -2],\n [0, 2, -1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -3],\n [1, -2, 0],\n [-3, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 1],\n [2, -3, 1],\n [-1, -1, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0],\n [0, 3, -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": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-1, 2, 0],\n [2, -2, 1],\n [0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[2, -2, 2],\n [-2, -1, 1],\n [2, 1, 3]]\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, 1, -2],\n [3, 2, -2],\n [2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, -1],\n [0, 0, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 1],\n [0, -2, -3],\n [0, 0, 3]], 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, -3, -3],\n [0, 0, -1],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[2, 0, 0],\n [0, -3, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, -2],\n [-3, 0, -1],\n [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": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\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": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, -1],\n [1, -2, 1],\n [-3, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -3, -1],\n [1, -3, 2],\n [3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, 3],\n [0, 2, -3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-1, 2, 2],\n [0, -3, 3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 0],\n [0, 1, 0],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[0, 1, 0],\n [1, -1, 1],\n [3, -2, 0]]\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[[-1, 2, 2],\n [-2, -1, 3],\n [-3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\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": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-3, -3, -1],\n [0, -3, -2],\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^2 where A =\n[[-3, 2, 3],\n [0, -1, -2],\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": "29", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 2, 2],\n [-2, 0, -2],\n [-3, 3, -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^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2],\n [0, -2, 3],\n [-1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, 2, -2],\n [0, -2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -2],\n [0, 0, -1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "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, -1],\n [0, 0, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 1, 1],\n [0, -1, -1],\n [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^2 and find the sum of all entries of the result:\nA =\n[[3, -1, 1],\n [-1, 0, -1],\n [0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 1, 3],\n [-3, 0, -2],\n [-1, -1, 0]], determine the value at position (1, 2).\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, -1, 2],\n [2, -2, -2],\n [-2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "246", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-2, -2, -2],\n [-3, 1, -1],\n [-3, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[3, 2, -2],\n [0, -1, -3],\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, 2) of the 3th power of the matrix:\n[[-3, -1, 3],\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^2 and find the value at position (2, 1) of the result:\nA =\n[[-3, 0, 0],\n [0, 0, 1],\n [0, 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^3 where A is:\n[[-1, 2, -2],\n [2, 3, 0],\n [-2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-3, -1, 1],\n [1, -1, 1],\n [-3, 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^3 and find the value at position (2, 2) of the result:\nA =\n[[-3, 2, -3],\n [0, 0, 0],\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^3 where A =\n[[2, 0, 0],\n [0, -3, 2],\n [0, 2, 3]], determine the value at position (3, 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 (1, 1) of the 2th power of the matrix:\n[[1, 3, -2],\n [0, 1, 0],\n [0, 0, -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^3 where A =\n[[1, 2, -2],\n [2, 0, 0],\n [-2, 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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, 2],\n [0, -2, -1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -2],\n [2, 0, 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": "For the matrix power A^3 where A =\n[[1, -1, -2],\n [0, -2, -1],\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": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, 1],\n [-1, -2, 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": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -1],\n [0, -1, 1],\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": "71", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^3 where A is:\n[[2, -1, 0],\n [1, 2, 1],\n [1, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 2],\n [-1, 2, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-3, -2, 2],\n [3, 1, 2],\n [-1, 3, 2]]\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[[-1, -2, 1],\n [-2, -1, 0],\n [1, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 1) of the result:\nA =\n[[-3, 1, 1],\n [0, 0, 2],\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 sum of all entries of the matrix A^2 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": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, 0],\n [-2, 3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, -1, 3],\n [0, 2, -3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 1, -3],\n [0, 1, 2],\n [0, 0, 0]]\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 (1, 1) of the matrix A^3 where A is:\n[[3, -2, -1],\n [0, -1, 1],\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 absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, -2],\n [0, 2, 2],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "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],\n [0, 1, 0],\n [2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -3, -1],\n [-3, -3, -3],\n [2, -2, 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^2 and find the value at position (3, 1) of the result:\nA =\n[[-2, 0, -1],\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 all entries of the 3th power of the matrix:\n[[2, -2, -1],\n [3, -3, 2],\n [1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, 1, -3],\n [2, -1, -2],\n [-1, 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^3 where A =\n[[1, 0, 1],\n [0, 2, -2],\n [-2, 0, 0]], 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, -2, -1],\n [-2, 0, 2],\n [-1, 2, 0]]?\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 (1, 1) of the matrix A^2 where A is:\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": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -2, 0],\n [-2, 2, 2],\n [0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, -2],\n [0, 2, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, -1, -2],\n [-3, 3, 3],\n [3, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -3],\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": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 2],\n [0, 3, 2],\n [2, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, 3],\n [0, 3, -1],\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": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, -3],\n [-3, -1, 0],\n [-1, -3, -3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 1, 2],\n [1, 1, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 1],\n [2, -2, -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": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, -1, -2],\n [-1, -3, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -1, -1],\n [3, 1, 1],\n [1, 3, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, 0, -2],\n [0, 3, -2],\n [-2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -1, 0],\n [-1, 1, 1],\n [0, 1, -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[[1, 0, 1],\n [0, -1, 2],\n [1, 2, 3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "159", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -1],\n [0, 3, 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": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 1, -3],\n [0, -1, 1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -3, 0],\n [-3, 2, 1],\n [0, 1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[2, -1, 0],\n [-1, -3, -1],\n [0, -1, 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 value at position (1, 3) of the result:\nA =\n[[-2, 2, 0],\n [0, 1, -3],\n [0, 0, -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[[1, 0, -2],\n [1, 2, -1],\n [-2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -2, -2],\n [1, 0, -1],\n [-3, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\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": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[3, -1, 2],\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^3 and find the sum of all entries of the result:\nA =\n[[-1, -2, -2],\n [-2, 3, 2],\n [-2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[2, 0, -3],\n [2, 1, -2],\n [3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 1, 3],\n [0, -2, -2],\n [0, 0, 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[[-3, 1, 3],\n [1, 0, 1],\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 value at position (1, 2) of the result:\nA =\n[[2, 1, 0],\n [1, 0, 2],\n [0, 2, 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^3 and find the sum of all entries of the result:\nA =\n[[3, -2, -2],\n [-2, -1, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 2th power of the matrix:\n[[-3, -2, 1],\n [-2, 0, -2],\n [1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 2, -1],\n [3, 0, 1],\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": "233", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 0, -1],\n [0, 2, -1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^2 where A is:\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": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^3 where A is:\n[[0, 2, 0],\n [2, -3, 1],\n [0, 1, 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[[1, -1, 2],\n [-1, -2, 0],\n [-2, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 3, 1],\n [-2, -3, 1],\n [1, 1, -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 absolute values of all entries of the result:\nA =\n[[-1, -2, -3],\n [0, 0, -2],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[3, -1, 0],\n [-1, 0, 1],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-1, 2, 3],\n [-3, 2, 2],\n [-2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-1, 2, -1],\n [0, -2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[-1, -2, -1],\n [0, 3, -1],\n [0, 0, 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^2 and find the value at position (3, 2) of the result:\nA =\n[[-2, -2, 0],\n [-2, -2, 2],\n [0, 2, 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^2 where A is:\n[[3, 0, -2],\n [-1, 2, 1],\n [-3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-1, 0, 0],\n [0, 3, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 3, -1],\n [3, 0, 1],\n [-1, 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 (3, 1) of the result:\nA =\n[[-3, 2, -2],\n [2, 3, 0],\n [-2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, -2],\n [-2, -2, 0],\n [-2, 3, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, -2],\n [-1, -2, -1],\n [-2, -1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -1, 1],\n [-1, -2, -2],\n [1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, 1],\n [2, 1, -1],\n [-3, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 0],\n [3, -2, 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": "23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) of the result:\nA =\n[[-3, 0, -2],\n [0, 0, 2],\n [-2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-1, 2, -2],\n [-2, -2, -2],\n [-2, 1, 1]]?\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[[-2, 2, 1],\n [2, 2, 1],\n [1, 1, -1]], 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": "For the matrix power A^2 where A =\n[[1, 2, -2],\n [2, -2, 0],\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": "58", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-1, -2, 1],\n [-2, -3, 1],\n [2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -2],\n [0, 2, 1],\n [-2, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 3, -2],\n [2, 0, -2],\n [-2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -2],\n [0, -3, 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": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 1, -1],\n [0, -3, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -1, -2],\n [-1, 1, -1],\n [-2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 3, 1],\n [-2, 1, 1],\n [-1, -2, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-3, -2, 2],\n [-2, -2, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-3, 0, 2],\n [0, -1, 2],\n [2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, 2, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[3, 3, 0],\n [-1, -1, -3],\n [2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[0, 0, 2],\n [0, 2, 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^2 where A =\n[[-3, 2, 3],\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": "-7", "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, -1, -1],\n [-1, -2, 0],\n [-1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 1, -2],\n [1, -3, 2],\n [-3, -2, -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 value at position (1, 1) of the result:\nA =\n[[-2, 1, -3],\n [3, 0, 1],\n [1, -2, 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 value at position (2, 1) of the result:\nA =\n[[0, 3, 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, 0],\n [0, 1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, -2],\n [0, 3, -2],\n [-2, -2, 3]]?\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 3th power of the matrix:\n[[-2, -3, 1],\n [-3, -2, -2],\n [3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "357", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[-3, 2, 1],\n [3, -2, 0],\n [2, -3, 0]]\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[[3, 0, 0],\n [0, -1, 1],\n [0, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[0, 1, 1],\n [0, 0, 1],\n [-1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[2, -2, 0],\n [-2, 2, 0],\n [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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, 2],\n [0, 1, 2],\n [0, 0, 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 all entries of the result:\nA =\n[[0, -2, 0],\n [-2, -2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[-2, 0, -3],\n [0, -3, 2],\n [-3, 2, 3]]?\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[[1, 0, -2],\n [2, 0, 2],\n [0, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -3, 2],\n [0, 1, 3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, -2, 2],\n [-2, -2, 1],\n [2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, -3, -1],\n [-1, -2, -3],\n [1, 1, 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 (2, 3) of the 2th power of the matrix:\n[[0, 2, -2],\n [2, 1, 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 sum of absolute values of all entries of the result:\nA =\n[[1, -3, -3],\n [0, 0, -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^3 and find the value at position (1, 2) of the result:\nA =\n[[3, -2, -1],\n [0, -1, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 0],\n [0, -3, 0],\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": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -1, -1],\n [-2, 2, -3],\n [-2, -1, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, 0, 0],\n [0, 0, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, -2],\n [0, 0, 2],\n [0, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, -2, 1],\n [3, -2, 0],\n [2, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, -1],\n [-2, -1, -2],\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": "38", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 2, 0],\n [0, 3, -3],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[-2, -2, 2],\n [0, 1, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, 2],\n [0, -1, 0],\n [3, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 1, -1],\n [2, 0, -3],\n [-2, -2, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 3, -1],\n [0, -3, -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 value at position (3, 1) of the result:\nA =\n[[-1, -3, 1],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, 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": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, -1],\n [-1, 0, 0],\n [-2, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 0],\n [1, -1, -3],\n [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": "171", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -3, -2],\n [-3, 1, 0],\n [-2, 0, 2]], determine the value at position (2, 2).\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[[1, 1, 1],\n [-1, 2, 1],\n [-1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 2) of the result:\nA =\n[[3, -2, 1],\n [0, 0, -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^3 and find the value at position (1, 2) of the result:\nA =\n[[2, 0, 2],\n [3, 0, 2],\n [1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 3, -2],\n [-3, 2, -3],\n [-2, 2, -2]]\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, 2) of the matrix A^2 where A is:\n[[2, -1, -2],\n [-1, -1, 1],\n [-2, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 2, 2],\n [0, 2, -2],\n [0, 0, -1]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -2, 0],\n [-2, -1, 0],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "171", "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, 3, 0],\n [-2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "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, -2, 0],\n [-2, -1, -1],\n [0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[-1, -2, 3],\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": "For the matrix power A^2 where A =\n[[-2, -1, 1],\n [-1, -1, 0],\n [1, 0, 1]], determine the value at position (1, 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^3 where A is:\n[[1, 2, 1],\n [2, 0, 2],\n [1, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 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": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -3, -3],\n [0, 2, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -1, 2],\n [0, 2, -1],\n [0, 0, 2]], determine the value at position (1, 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^2 where A is:\n[[-1, 0, -2],\n [0, -2, -2],\n [-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^3 and find the sum of all entries of the result:\nA =\n[[1, 2, -2],\n [2, 1, -3],\n [-2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, 0],\n [0, 1, -3],\n [0, 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^3 where A is:\n[[0, 0, -3],\n [0, 2, -2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 3],\n [-1, 0, 2],\n [-3, -1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 3],\n [0, 1, 0],\n [3, 0, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "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 [-2, -3, 2],\n [1, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[2, 2, 0],\n [2, 0, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, 0],\n [0, 1, 2],\n [0, 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^3 and find the sum of all entries of the result:\nA =\n[[-3, -2, 0],\n [-2, -3, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-249", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 2, 0],\n [0, -3, 0],\n [0, 0, -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 (3, 3) of the 2th power of the matrix:\n[[0, -3, 2],\n [-3, 1, 2],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 0],\n [-1, 1, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 2, 3],\n [0, 0, 1],\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, -2, 3],\n [0, -3, -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": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\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": "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[[0, 1, 3],\n [0, 3, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 0, 3],\n [0, -3, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 2, 0],\n [2, 3, 0],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[2, 1, 1],\n [1, -2, 0],\n [1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-31", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, 2, 0],\n [0, -1, 1],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 0, -2],\n [0, -1, 0],\n [-2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-3, 0, 0],\n [0, -3, -1],\n [0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, -1, 0],\n [0, -2, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 3, 2],\n [0, 3, -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": "20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 0, 2],\n [-3, -2, 1],\n [2, 3, 3]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[3, 1, 1],\n [0, -3, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 2],\n [0, 0, -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": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 2, -1],\n [2, -3, 0],\n [-1, 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 (3, 1) of the 2th power of the matrix:\n[[-2, 2, 0],\n [2, 1, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[-3, 0, 0],\n [3, 3, 3],\n [-2, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 3, 2],\n [0, -1, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -3, -3],\n [0, 3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 1, 1],\n [-3, 2, -2],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 2, 3],\n [2, 1, 0],\n [3, 0, 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 sum of all entries of the result:\nA =\n[[-2, 0, 2],\n [-3, 3, 1],\n [1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0],\n [0, 2, -2],\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": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[2, -1, -3],\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[[1, 2, 0],\n [2, -2, 1],\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": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[3, 2, -2],\n [2, -3, -2],\n [-2, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "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, -2],\n [2, 2, 1],\n [-2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 1, -3],\n [3, 2, 0],\n [0, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 2, 0],\n [2, -1, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[0, 2, 3],\n [0, 1, 3],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, -2],\n [2, 2, 2],\n [-1, -2, 0]], 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": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 3, -2],\n [-3, 1, 3],\n [-2, 2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[2, 1, 1],\n [1, -2, -1],\n [1, -1, -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 value at position (1, 2) of the result:\nA =\n[[3, 0, -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": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-3, 2, 0],\n [2, 1, 1],\n [0, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 2],\n [0, -3, 0],\n [2, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, -1, 0],\n [0, 0, -1],\n [0, 0, -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 all entries of the result:\nA =\n[[0, -1, -2],\n [0, 1, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 2, -2],\n [2, 1, 3],\n [-2, 3, -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 sum of absolute values of all entries of the result:\nA =\n[[2, 1, -1],\n [1, 0, -1],\n [-1, -1, 2]]\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, 1) of the 3th power of the matrix:\n[[1, 0, -3],\n [-3, 1, 0],\n [0, 1, -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 (3, 1) of the 3th power of the matrix:\n[[-3, 1, 0],\n [1, 3, 1],\n [0, 1, -3]]\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 2th power of the matrix:\n[[-2, 0, -1],\n [0, 1, -1],\n [-1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^2 where A is:\n[[1, 2, -2],\n [-1, -2, -3],\n [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 2th power of the matrix:\n[[0, -1, 2],\n [0, 3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 1, 2],\n [0, 1, 1],\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, 0, -2],\n [0, 0, -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": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[-2, 1, 2],\n [1, 1, 0],\n [2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -3, 0],\n [-2, -3, 1],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "548", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[2, 3, -1],\n [3, -1, -2],\n [-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^2 where A =\n[[-2, 0, 1],\n [0, 0, -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": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 2],\n [-2, -1, -1],\n [2, -1, -1]], determine the value at position (2, 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^3 where A is:\n[[-2, -1, -2],\n [-1, 2, -1],\n [-2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) of the matrix A^3 where A is:\n[[3, -1, 2],\n [0, -3, -2],\n [0, 0, -3]]?\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^2 where A is:\n[[2, 2, -2],\n [0, -2, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -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": "19", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -2, 0],\n [-2, 2, 2],\n [0, 2, 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^2 and find the value at position (1, 3) of the result:\nA =\n[[2, 2, -2],\n [2, 0, 0],\n [-2, 0, -1]]\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 2th power of the matrix:\n[[1, 3, 2],\n [0, 3, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 3, -2],\n [-3, -1, -1],\n [1, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 3, 2],\n [0, -2, 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": "-7", "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, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 1, -1],\n [3, 0, -1],\n [3, 2, -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, 1) of the matrix A^2 where A is:\n[[1, 2, 1],\n [-3, 3, 1],\n [-3, -1, 0]]?\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 value at position (2, 3) of the result:\nA =\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": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, 3],\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": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 3th power of the matrix:\n[[1, 0, 1],\n [0, -1, -2],\n [1, -2, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, 3],\n [2, -3, -1],\n [0, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "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, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, -2],\n [-2, 0, 0],\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": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, 3, 2],\n [0, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, -2, 0],\n [-2, 3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-3, 1, 0],\n [-1, -3, -1],\n [0, 0, 0]]\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, -2],\n [-3, 0, -2],\n [-1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-392", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 3) of the result:\nA =\n[[1, 3, 3],\n [0, -3, 0],\n [-2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the 3th power of the matrix:\n[[-3, 2, -2],\n [2, -2, 0],\n [-2, 0, 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 absolute values of all entries of the matrix A^2 where A is:\n[[2, -2, -2],\n [0, -2, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\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": "22", "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, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-1, 2, -1],\n [0, 1, -3],\n [2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 3, -2],\n [3, -1, 0],\n [-2, -3, -1]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "83", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 2, -3],\n [0, 2, -2],\n [1, 0, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -2, 1],\n [-2, -1, 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": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 1) of the result:\nA =\n[[-2, 1, 1],\n [-1, 3, 3],\n [-3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, -3],\n [1, -2, -2],\n [0, 3, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[1, -2, 2],\n [-2, -2, -2],\n [2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, 3, -3],\n [0, 3, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "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, 2],\n [0, -1, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, 1],\n [0, -2, 0],\n [1, 0, -2]]?\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 (1, 2) of the matrix A^3 where A is:\n[[-2, 2, -2],\n [0, 0, 1],\n [3, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -3],\n [3, -3, 1],\n [2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 3, -3],\n [3, -3, -3],\n [-3, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, -2, -2],\n [-2, 3, 1],\n [-2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, -3, 0],\n [0, -2, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, 0],\n [0, 0, 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 sum of all entries of the matrix A^3 where A is:\n[[0, -2, 1],\n [1, -2, 3],\n [2, 1, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 2, -1],\n [2, -2, 2],\n [-1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, -1],\n [-1, -2, -1],\n [0, -2, 2]], determine the value at position (2, 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, 2, -2],\n [-3, 0, 1],\n [3, -2, 1]], 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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, -2],\n [1, -3, -1],\n [-2, -1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "115", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\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": "67", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[3, 0, 0],\n [1, -2, 1],\n [-3, -3, 0]]?\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[[1, 0, 0],\n [0, -1, 2],\n [0, 2, 0]]\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 (3, 2) of the matrix A^3 where A is:\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": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, -2],\n [3, -3, 0],\n [0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-2, 3, 3],\n [2, -3, 2],\n [-3, -2, -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^2 where A is:\n[[-1, -3, -2],\n [0, -1, 3],\n [0, 0, -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 all entries of the matrix A^3 where A is:\n[[2, -2, -3],\n [0, 2, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 2, -3],\n [0, 0, -3],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -1, -2],\n [-1, 3, 0],\n [-2, 0, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\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": "-3", "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],\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": "For the matrix power A^3 where A =\n[[1, 3, 1],\n [0, 0, -3],\n [0, 0, -1]], 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": "Find the value at position (3, 1) of the 3th power of the matrix:\n[[3, 1, -2],\n [1, 3, 0],\n [-2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 1, 2],\n [0, -2, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, -3],\n [0, 2, 1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[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": "152", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 1, -2],\n [1, -1, -3],\n [2, -1, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[1, 1, 0],\n [0, -3, 2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -1, -2],\n [0, 2, -3],\n [0, 0, 1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[1, 3, 3],\n [0, 0, 2],\n [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 value at position (2, 1) of the result:\nA =\n[[1, 1, 1],\n [0, 1, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2],\n [0, 2, 1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 3) of the result:\nA =\n[[3, -1, -3],\n [0, 3, -2],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-2, 0, -1],\n [0, 0, 0],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 2],\n [2, -2, 1],\n [1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-2, -3, 0],\n [0, -1, -2],\n [3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-2, 0, 1],\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": "For the matrix power A^3 where A =\n[[3, -3, 2],\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": "22", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 3th power of the matrix:\n[[-1, 1, -3],\n [0, -2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[0, 1, -2],\n [-2, 3, 3],\n [1, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 3th power of the matrix:\n[[2, 0, -1],\n [0, 1, 1],\n [-1, 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[[0, 1, -2],\n [2, 2, 3],\n [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": "79", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 1, -2],\n [-3, 0, 3],\n [-2, -2, 3]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[1, -2, 1],\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": "What is the sum of all entries of the matrix A^2 where A is:\n[[-1, -1, 2],\n [-1, 0, -2],\n [2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) of the matrix A^2 where A is:\n[[-2, -1, 3],\n [0, -3, 1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 3],\n [0, -1, 0],\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": "21", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, 2],\n [0, -2, 2],\n [2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-2, 0, 2],\n [0, 3, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\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": "5", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, 0],\n [0, -3, -1],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-2, 2, 0],\n [2, 3, 2],\n [0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "291", "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 [-1, 2, -3],\n [0, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 1],\n [0, -1, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 0, -1],\n [0, 0, -2],\n [-1, -2, 0]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 2, 2],\n [0, 0, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^3 where A is:\n[[-1, 1, 2],\n [1, -2, 2],\n [2, 2, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 2, -2],\n [0, -2, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, 0, 2],\n [0, 3, -3],\n [0, -3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, -2, -3],\n [3, 2, 0],\n [2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[3, 1, 1],\n [1, -2, -1],\n [1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -1, 0],\n [0, -2, 3],\n [-3, -2, 0]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 1, 1],\n [-3, 2, -3],\n [3, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, 1],\n [2, 2, 2],\n [1, 2, -2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, -2, 0],\n [-2, -3, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, -2, 1],\n [1, -3, -1],\n [-1, 1, -1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 0],\n [-2, -2, -2],\n [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": "49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, -3, 3],\n [1, 0, 1],\n [1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[3, -2, 2],\n [-3, -2, 2],\n [-2, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 1, 0],\n [1, 0, -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": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, -3],\n [2, -1, 0],\n [-3, 0, 1]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[2, -1, 3],\n [0, -2, 2],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 1],\n [-2, -2, 2],\n [1, 2, -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": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 2, 0],\n [-1, -3, 2],\n [0, -1, 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^3 where A =\n[[-3, 1, 0],\n [-1, 0, -2],\n [-3, 1, 1]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-2, 0, 0],\n [3, -3, 1],\n [3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, -1],\n [2, 0, 2],\n [-3, -3, -3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 1],\n [0, -2, 0],\n [1, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -3, 1],\n [2, 3, -1],\n [0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 1, -2],\n [0, -3, 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": "25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -1, -1],\n [0, 0, -2],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, -2, 3],\n [0, -3, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-3, 0, -2],\n [2, -2, 0],\n [-2, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[2, -1, -3],\n [1, -3, 1],\n [0, 0, 2]]?\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 absolute values of all entries of the result:\nA =\n[[-1, 1, 0],\n [0, 2, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 2],\n [2, -1, 0],\n [1, 3, -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^2 where A is:\n[[3, 0, 2],\n [0, -3, -1],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[1, 0, -2],\n [-1, 2, 0],\n [-1, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-3, 0, 0],\n [0, 2, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, -1],\n [0, 1, 2],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-2, 0, 0],\n [0, -3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 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": "161", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[3, 1, -3],\n [0, 0, -3],\n [0, 0, -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^2 where A =\n[[-2, 1, 1],\n [0, 2, -2],\n [0, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-2, -2, -2],\n [-2, 3, -2],\n [-2, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[1, 0, 1],\n [0, -3, -2],\n [1, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -1, -1],\n [0, -3, 1],\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": "119", "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, 0, 0],\n [0, 0, -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[[3, 3, 2],\n [0, -3, -2],\n [0, 0, 2]], determine the value at position (2, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[1, 3, 2],\n [-1, -3, 1],\n [-2, 2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -1, -3],\n [3, 2, -3],\n [3, 2, 1]], 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": "For the matrix power A^2 where A =\n[[-3, -2, -3],\n [0, -2, -1],\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": "36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-2, 2, 0],\n [0, -2, 0],\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[[0, 2, 1],\n [-1, 0, -2],\n [1, 3, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 2],\n [0, 0, 0],\n [2, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[-3, -3, 0],\n [-1, -2, 0],\n [3, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[0, -3, -3],\n [3, 2, 3],\n [-2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^3 where A is:\n[[-1, 2, -1],\n [0, -1, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th 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": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, -2, -1],\n [1, 3, -1],\n [2, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 2) 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": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the 2th power of the matrix:\n[[-3, 3, 2],\n [0, 2, 2],\n [1, -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[[-3, 0, 0],\n [0, 1, -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": "17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 1],\n [0, -2, -3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, -1],\n [3, -1, -1],\n [3, 1, 3]], determine the value at position (3, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 0, 2],\n [0, 2, 2],\n [2, 2, -2]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 1, 2],\n [1, -1, 2],\n [2, 2, 1]]\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 (2, 1) of the matrix A^3 where A is:\n[[-3, 1, 2],\n [-2, -3, -3],\n [-3, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 3, -2],\n [-1, 3, -3],\n [2, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the 2th power of the matrix:\n[[2, 2, -3],\n [0, 0, 2],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 1, 0],\n [1, -2, 0],\n [0, 0, -1]]\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^2 where A is:\n[[1, -1, -2],\n [2, 1, 1],\n [-2, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-2, 1, 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[-3, 1, 0],\n [1, 2, 2],\n [0, 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 3th power of the matrix:\n[[-3, 1, 2],\n [1, -1, -3],\n [2, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "669", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, -1],\n [-1, -3, -2],\n [-1, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "307", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[2, 0, 1],\n [0, -2, 1],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 3, -3],\n [0, 1, 1],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 2, -1],\n [3, 3, 1],\n [3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "217", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -2, -1],\n [-2, -3, 2],\n [-1, -1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, -3],\n [-3, 0, 1],\n [-1, -1, -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^2 and find the value at position (1, 2) of the result:\nA =\n[[1, 0, 2],\n [0, 0, 0],\n [2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 1, -1],\n [0, 3, -2],\n [0, 0, 0]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 2) of the result:\nA =\n[[3, 2, 1],\n [-1, -3, -1],\n [2, -2, -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[[1, 2, -2],\n [1, 3, -1],\n [2, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[1, 0, -3],\n [0, -3, 1],\n [0, 0, -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^2 where A =\n[[3, -2, -1],\n [0, -1, -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": "9", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 2th power of the matrix:\n[[-1, -1, 2],\n [0, -2, -2],\n [-3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, 0],\n [0, 1, -2],\n [0, -2, -3]], determine the value at position (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 (3, 1) of the 3th power of the matrix:\n[[2, -1, -1],\n [-1, 2, 2],\n [-1, 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, 3, 0],\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": "22", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, -1],\n [0, -2, 3],\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": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[0, 0, 2],\n [0, -3, 2],\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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, -3],\n [2, 2, 3],\n [0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "272", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[0, 1, 1],\n [0, 2, -1],\n [0, 0, 0]]\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[[-2, -2, 2],\n [0, 2, -2],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 2, -3],\n [-2, -3, 3],\n [-1, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, 1],\n [0, 0, -2],\n [1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 0, 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": "18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[-3, 3, -3],\n [-1, 1, 1],\n [1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, 0, -1],\n [0, -2, 0],\n [-1, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 3, 0],\n [-1, 2, 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": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-3, -1, 3],\n [0, 1, 1],\n [-3, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[0, -1, -2],\n [0, -3, 1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -2, 0],\n [3, 0, -1],\n [2, -2, 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 (2, 2) of the 2th power of the matrix:\n[[-2, 0, -2],\n [-3, 2, 1],\n [0, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[0, 1, 0],\n [2, -2, -1],\n [2, -2, -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 value at position (3, 3) of the result:\nA =\n[[-2, 0, -2],\n [0, -1, 2],\n [-2, 2, -3]]\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, -2, 1],\n [0, -1, -1],\n [0, 0, 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 2th power of the matrix:\n[[2, 3, 2],\n [-1, -3, 2],\n [-1, -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, 3) of the matrix A^2 where A is:\n[[1, -2, 2],\n [-2, 2, 3],\n [2, 3, -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 3th power of the matrix:\n[[-1, -1, 0],\n [-1, 2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[3, 0, -1],\n [0, 3, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[0, 1, 2],\n [0, -1, -2],\n [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^2 and find the sum of all entries of the result:\nA =\n[[-2, -3, 1],\n [1, 1, 0],\n [-3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[3, 2, 1],\n [0, 2, 0],\n [-2, -3, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 2, -2],\n [0, 1, 1],\n [0, 0, 1]]\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, -1, 0],\n [-2, 0, 3],\n [1, 2, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -1],\n [0, 2, 0],\n [-1, 0, 2]], determine the value at position (2, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 2, 2],\n [1, 3, 0],\n [3, 2, 1]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-3, 0, 2],\n [0, 2, 2],\n [2, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "260", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, 3, 1],\n [3, -1, -1],\n [2, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "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, 0, 2],\n [0, 3, 2],\n [2, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -3, 3],\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": "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, 2],\n [0, 0, -2],\n [2, -2, -2]]?\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[[-3, 2, 3],\n [2, 0, 0],\n [3, 3, -3]], determine the value at position (1, 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^2 where A is:\n[[1, 3, -2],\n [1, 1, -3],\n [0, 2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -1, -1],\n [-2, 3, -2],\n [-2, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[3, 0, 0],\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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -2, -2],\n [0, 0, -1],\n [-1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, 0, 0],\n [0, -3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, -3, -2],\n [0, 0, 3],\n [0, 0, 2]]\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[[-2, 3, 0],\n [0, -3, -1],\n [0, 0, 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^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 0, -2],\n [0, -2, -1],\n [-2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 2, -1],\n [0, -2, -3],\n [0, 0, -1]], determine the value at position (1, 3).\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 3th power of the matrix:\n[[-2, -2, 0],\n [-2, 2, 0],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 2, 0],\n [2, 3, 0],\n [0, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 2],\n [2, -2, -3],\n [-1, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (1, 2) of the result:\nA =\n[[2, -3, 3],\n [-3, 2, 1],\n [0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 0],\n [-2, -3, -1],\n [0, -1, 1]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-1, 0, -3],\n [0, -2, 0],\n [-3, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, 1],\n [0, -1, 1],\n [2, 0, -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 3th power of the matrix:\n[[-2, 2, -3],\n [0, 0, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 0, -1],\n [2, 3, 0],\n [0, -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 (3, 2) of the matrix A^2 where A is:\n[[2, -1, -1],\n [-2, -3, -2],\n [1, 3, -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 all entries of the matrix A^2 where A is:\n[[0, -2, -2],\n [-2, -2, 0],\n [-2, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 2) of the result:\nA =\n[[-1, 0, -2],\n [0, -2, -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^2 where A =\n[[-2, -2, 1],\n [1, 3, -1],\n [-3, -3, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 2],\n [0, 3, -3],\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": "8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 3, 3],\n [0, 3, 0],\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": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[1, -2, -2],\n [-2, -2, -1],\n [-2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -3, 0],\n [-3, -2, -2],\n [0, -2, 0]], determine the value at position (1, 1).\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 3th power of the matrix:\n[[2, 2, 0],\n [-1, 3, -1],\n [1, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "127", "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, -2],\n [0, -2, -2],\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 value at position (3, 2) of the matrix A^3 where A is:\n[[1, 0, -1],\n [0, 2, 0],\n [-1, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, 3],\n [2, -3, 0],\n [1, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, 0, 0],\n [0, -3, -1],\n [0, -1, 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 value at position (1, 2) of the matrix A^3 where A is:\n[[0, 3, 2],\n [-1, -1, 2],\n [-3, 1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[3, 1, 2],\n [3, 2, 2],\n [-2, 3, 0]]?\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 2th power of the matrix:\n[[-1, 0, -3],\n [2, 3, 0],\n [1, 0, -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^2 where A =\n[[-1, -1, 1],\n [-1, 2, 2],\n [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": "46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, -2, -1],\n [-2, 2, -2],\n [-1, -2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the 2th power of the matrix:\n[[1, 0, -2],\n [0, 0, -3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 1) of the result:\nA =\n[[3, -1, 0],\n [-1, 2, -3],\n [-3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the 2th power of the matrix:\n[[-1, 0, 2],\n [2, 2, 1],\n [3, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-1, 0, 2],\n [0, 3, 1],\n [2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 0, 2],\n [0, -3, 0],\n [2, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, -2, -2],\n [2, -3, 1],\n [-1, 0, -2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 3) of the result:\nA =\n[[-3, -2, 0],\n [-3, 1, -1],\n [-2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, -3, -2],\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": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, 2, -3],\n [0, -2, -2],\n [0, 0, 2]], 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": "What is the value at position (2, 1) of the matrix A^2 where A is:\n[[2, -2, -2],\n [-2, 1, 1],\n [-2, 1, -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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -1, -2],\n [0, 1, 2],\n [-2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, -2, 2],\n [0, 0, -1],\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": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -2],\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": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 2, 2],\n [2, -2, -2],\n [2, -2, 2]], 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 absolute values of all entries of the 2th power of the matrix:\n[[-2, 2, 3],\n [0, 2, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 2, -2],\n [1, 3, 0],\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": "58", "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, -1, -2],\n [-2, -3, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "436", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -2],\n [-2, 3, 2],\n [-2, 2, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 2, 0],\n [0, 3, 2],\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 absolute values of all entries of the matrix A^2 where A is:\n[[0, 1, 0],\n [0, -1, -2],\n [0, 0, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[3, 2, 2],\n [-2, 2, -3],\n [-1, 1, -2]]?\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 3th power of the matrix:\n[[1, -3, -2],\n [0, 0, -2],\n [0, 0, 3]]\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 (2, 2) of the matrix A^3 where A is:\n[[0, -2, 0],\n [0, -3, 3],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-3, 3, -3],\n [-3, 3, -3],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -2, -1],\n [0, 2, -3],\n [2, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (2, 1) of the result:\nA =\n[[-2, 3, 0],\n [0, -3, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 3],\n [-2, -2, -2],\n [-1, -3, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[1, 1, -1],\n [2, 1, -3],\n [2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[2, -3, -2],\n [0, 0, -2],\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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -1, 0],\n [-1, -2, -1],\n [0, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, 3, -2],\n [0, 0, 2],\n [0, 0, -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 absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 0],\n [-1, 0, -3],\n [1, 3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "128", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[1, -1, -1],\n [0, -2, 0],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, -3, 1],\n [-3, -3, -3],\n [2, 2, -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, 0, 0],\n [0, -3, -1],\n [0, -1, -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, -3, -2],\n [2, 1, 2],\n [0, -1, 3]], determine the sum of absolute values of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 1],\n [-3, 2, 2],\n [-3, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^2 where A is:\n[[1, -1, -3],\n [0, 3, 2],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-2, -2, 1],\n [-2, -2, -2],\n [1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[-2, -1, 1],\n [0, -2, 1],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, 1],\n [-3, 1, -2],\n [-3, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 0, -1],\n [0, -3, 2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[0, -2, 1],\n [-3, -1, 1],\n [-1, -3, -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^2 and find the sum of all entries of the result:\nA =\n[[-3, -2, -2],\n [1, 0, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[3, -3, -3],\n [0, -3, -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": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, -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": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[1, 2, 3],\n [0, 3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 2, 2],\n [-1, 3, -3],\n [2, -3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "584", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[0, 0, 0],\n [0, 1, -1],\n [0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 3th power of the matrix:\n[[3, -1, 0],\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[[-3, 1, 0],\n [-1, 3, -2],\n [1, 3, 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 sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 0],\n [0, 3, -2],\n [0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, -2, 2],\n [0, -1, -2],\n [3, -1, 3]], determine the value at position (1, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[2, 3, 1],\n [2, 3, 2],\n [2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 3, 2],\n [0, -1, -1],\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": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -3, 1],\n [0, 0, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 0, 3],\n [0, -1, 0],\n [3, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "177", "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, -2, 2],\n [3, 2, 3],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, -2, -2],\n [-3, 1, 0],\n [-1, -2, 2]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[0, 0, -1],\n [0, -3, 0],\n [-1, 0, -2]], determine the value at position (1, 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 all entries of the matrix A^2 where A is:\n[[3, -3, -1],\n [0, 3, 3],\n [0, 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 2th power of the matrix:\n[[-1, 0, 1],\n [0, -2, 0],\n [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 sum of all entries of the matrix A^2 where A is:\n[[1, -1, 0],\n [-1, -1, -2],\n [0, -2, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 2],\n [0, -3, -2],\n [0, 0, -3]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (3, 1) of the result:\nA =\n[[2, 3, 1],\n [0, -1, 2],\n [-2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -2, -3],\n [3, -3, 2],\n [-3, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "432", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -2, -1],\n [-2, -1, 0],\n [-1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "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 [0, 3, 1],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-1, 3, 3],\n [3, 1, 0],\n [1, 3, -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 (2, 3) of the 3th power of the matrix:\n[[0, -2, -1],\n [0, 1, -2],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -2, -3],\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": "22", "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, 2, 0],\n [-2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 1, 0],\n [1, -3, 2],\n [0, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -3],\n [0, -1, -1],\n [0, 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": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[3, -2, 1],\n [-3, 2, 3],\n [1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the 2th power of the matrix:\n[[-1, 1, 0],\n [0, -3, -2],\n [0, 0, 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 3th power of the matrix:\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": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-2, 1, 3],\n [3, 0, -1],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the value at position (3, 3) of the result:\nA =\n[[3, -1, 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": "Calculate the matrix power A^3 and find the value at position (2, 3) of the result:\nA =\n[[1, -1, -1],\n [0, 0, -2],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 3],\n [0, -2, 0],\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": "69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, 1, 2],\n [0, 1, -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": "-4", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 3, 1],\n [2, -1, -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": "251", "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, -3],\n [-3, -1, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "685", "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, 1],\n [0, -1, 1],\n [0, 0, 0]]\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[[3, -3, 2],\n [0, -2, 2],\n [0, 0, -1]]?\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^2 where A is:\n[[-1, 2, -1],\n [1, 1, -2],\n [-3, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 0, -1],\n [0, -1, 2],\n [-1, 2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 3, -1],\n [0, -2, -2],\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": "-9", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[3, -1, 2],\n [-1, 1, -2],\n [2, -2, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 0, 0],\n [0, -2, -3],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-1, 0, -2],\n [0, 0, 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": "14", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) of the matrix A^2 where A is:\n[[0, 0, -3],\n [-2, 0, 1],\n [-2, 2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[2, 2, 1],\n [0, -3, -2],\n [0, 0, 3]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -2, -2],\n [3, 1, 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": "393", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 1, 1],\n [0, -3, -2],\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": "64", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -2, 0],\n [0, 3, 0],\n [0, 0, -1]], 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": "For the matrix power A^3 where A =\n[[-3, -1, -2],\n [0, 2, 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": "66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -3],\n [-2, -3, 1],\n [-3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (2, 1) of the result:\nA =\n[[-2, -2, -2],\n [-3, -3, 2],\n [0, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[-1, 0, -2],\n [0, 2, -2],\n [-2, -2, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 1, 1],\n [0, -2, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[-1, 2, 0],\n [2, 0, 2],\n [0, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[2, -1, 2],\n [0, 0, 2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -2, 3],\n [2, -2, -3],\n [-1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\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": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[1, 0, -1],\n [0, -2, 2],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, -1, 3],\n [-3, 3, -2],\n [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^2 and find the value at position (3, 2) of the result:\nA =\n[[-2, 0, 0],\n [0, -1, -1],\n [0, -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 [2, 0, 0],\n [2, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, -3, -3],\n [3, 3, 3],\n [0, 1, -3]], 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": "Find the sum of all entries of the 2th power of the matrix:\n[[3, -1, -3],\n [0, 0, 3],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[-1, 3, 2],\n [0, -3, -1],\n [0, 0, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[2, -2, -1],\n [-2, 2, 3],\n [3, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 2th power of the matrix:\n[[0, 2, 0],\n [0, -3, -2],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[0, -1, -2],\n [0, 3, 0],\n [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^3 where A is:\n[[-3, -2, 0],\n [-2, -3, 1],\n [2, -1, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-213", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[1, 1, 2],\n [0, -3, -1],\n [0, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-3, 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": "69", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-2, 1, -2],\n [0, 0, 0],\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": "17", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 1, -3],\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": "1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[2, -2, 3],\n [-2, -2, -3],\n [-3, 0, 2]]?\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 all entries of the result:\nA =\n[[1, -1, 0],\n [-1, 3, 0],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the 2th power of the matrix:\n[[1, 0, 2],\n [0, 2, -1],\n [0, 0, -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^2 and find the value at position (3, 2) of the result:\nA =\n[[3, 2, -3],\n [1, 3, -3],\n [-3, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-21", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-3, -2, -1],\n [-1, -2, 3],\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 sum of all entries of the 2th power of the matrix:\n[[-2, 3, 0],\n [0, -2, 0],\n [0, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[2, 3, -2],\n [3, 1, -3],\n [-2, 1, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "429", "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],\n [0, 1, 0],\n [-2, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, 1],\n [3, -3, 1],\n [1, -2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the 3th power of the matrix:\n[[-2, 2, 2],\n [0, -2, 3],\n [0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[2, 0, 0],\n [0, 3, -2],\n [0, -2, 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 (3, 1) of the matrix A^2 where A is:\n[[-3, -2, 1],\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": "For the matrix power A^3 where A =\n[[1, 1, 3],\n [3, 2, -2],\n [1, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 2th power of the matrix:\n[[0, 0, 1],\n [1, -2, -3],\n [1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[1, 2, -2],\n [0, -3, -3],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) of the matrix A^3 where A is:\n[[2, -2, 0],\n [-2, -2, 0],\n [0, 0, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -3, -1],\n [-2, 0, -2],\n [2, 3, 0]], determine the value at position (1, 1).\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[[3, 1, -1],\n [0, -3, -1],\n [0, 0, -1]], 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": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, -3, -1],\n [-3, 1, 1],\n [-1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[2, -3, -1],\n [-1, -2, -1],\n [2, -3, -2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^3 where A is:\n[[0, 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": "What is the sum of all entries of the matrix A^3 where A is:\n[[1, 2, -1],\n [2, 2, -2],\n [-1, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, -1, 1],\n [0, 1, 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": "18", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 1, 3],\n [2, 2, 3],\n [-2, 3, -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^3 where A =\n[[-2, 0, 0],\n [0, 2, -2],\n [0, -2, 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": "What is the sum of all entries of the matrix A^2 where A is:\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": "38", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-1, -2, -3],\n [-1, 1, -2],\n [-3, 2, -1]], determine the value at position (1, 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^2 where A =\n[[0, 0, 0],\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": "12", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[2, 1, 3],\n [3, -1, 3],\n [-1, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the 3th power of the matrix:\n[[-3, 1, 2],\n [1, -3, -2],\n [2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, -2],\n [0, -2, -1],\n [-2, -1, 2]], determine the value at position (2, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -1, 2],\n [0, 2, 2],\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 value at position (2, 2) of the 3th power of the matrix:\n[[-3, 0, 0],\n [0, 1, 2],\n [0, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[-3, 0, 2],\n [0, -1, -1],\n [2, -1, -3]], determine the value at position (1, 3).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[1, 0, 0],\n [0, -1, -2],\n [0, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[-3, 2, 0],\n [2, -1, 0],\n [0, 0, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[3, -1, -3],\n [0, 1, 0],\n [0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[-2, -1, -3],\n [3, -3, -1],\n [3, 3, 3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, -1, 2],\n [-1, 1, 1],\n [2, 1, -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^2 where A is:\n[[2, -1, 1],\n [0, -1, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 2, -1],\n [0, 0, 3],\n [0, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 0, -2],\n [0, 1, 2],\n [-2, 2, 2]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^3 and find the sum of all entries of the result:\nA =\n[[-1, 2, -3],\n [0, 0, 1],\n [0, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, -2, 0],\n [1, 0, 1],\n [2, 1, -1]], determine the value at position (1, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[2, 2, 0],\n [2, -2, 2],\n [0, 2, 1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "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 [2, 1, -2],\n [0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^3 where A is:\n[[0, 1, 2],\n [0, -3, 0],\n [0, 0, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, -3, -3],\n [0, -3, 0],\n [0, 1, -1]], determine the value at position (3, 2).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries of the matrix A^2 where A is:\n[[0, 1, 0],\n [1, -2, 0],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^2 where A is:\n[[0, 0, 0],\n [0, -1, -2],\n [0, -2, -1]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the sum of all entries of the result:\nA =\n[[0, 0, -1],\n [2, -1, -1],\n [1, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, -2, 2],\n [-3, -2, -3],\n [-3, 3, 2]], 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": "What is the value at position (3, 1) of the matrix A^2 where A is:\n[[-2, 0, 0],\n [0, 1, -2],\n [0, -2, 0]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries of the matrix A^2 where A is:\n[[3, 1, 0],\n [-2, -1, 3],\n [3, 1, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 2th power of the matrix:\n[[-1, 0, 3],\n [0, 0, 1],\n [0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[0, 0, 1],\n [0, -3, -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": "15", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[1, -3, -2],\n [-3, 2, -3],\n [3, 0, 0]], determine the sum of all entries.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[-2, 0, 0],\n [0, -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": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) of the matrix A^2 where A is:\n[[-3, 2, -1],\n [2, 1, 0],\n [2, 3, 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 absolute values of all entries of the result:\nA =\n[[0, 0, 0],\n [0, -2, 0],\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 3th power of the matrix:\n[[-3, 0, 3],\n [0, -2, 2],\n [0, 0, 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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[0, 0, 2],\n [0, 3, 2],\n [-1, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the 3th power of the matrix:\n[[-3, 0, -1],\n [0, -1, 2],\n [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^2 and find the sum of absolute values of all entries of the result:\nA =\n[[1, 0, 1],\n [0, 1, 0],\n [1, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) of the matrix A^3 where A is:\n[[-1, 2, 2],\n [2, -2, 0],\n [2, 0, 2]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix power A^2 and find the value at position (1, 3) of the result:\nA =\n[[-1, -3, -2],\n [0, 3, 3],\n [0, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) of the matrix A^3 where A is:\n[[0, -2, 3],\n [0, -2, 3],\n [0, 0, -3]]?\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^2 where A =\n[[1, 1, 0],\n [-3, -2, 1],\n [2, 2, 0]], determine the value at position (2, 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^2 where A =\n[[3, -3, -1],\n [0, -3, 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": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the 3th power of the matrix:\n[[-3, 0, -1],\n [0, -2, -2],\n [-1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-332", "dataset": "MATH"}
{"messages": [{"content": "For the matrix power A^3 where A =\n[[3, 0, 0],\n [0, 1, -2],\n [0, -2, -2]], determine the value at position (3, 1).\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}