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math_arithmetic_matrix_multiplication_7B_test_in

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math_arithmetic_matrix_multiplication_7B_test_in
File size: 42,541 Bytes
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{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 4, 8, 6],\n [-5, -2, 5, -5],\n [-2, 8, 2, 2],\n [-7, 2, -3, 0]]\nB =\n[[7, -1, -8],\n [6, -4, 7],\n [3, -6, 6],\n [0, -1, 2]]\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, 4) of the product of the following matrices:\nA =\n[[2, 6, 8, -2, 8],\n [0, -8, 6, -8, 8],\n [-6, -4, 6, 0, 8]]\nB =\n[[6, 5, -2, -6],\n [-7, 0, -4, -1],\n [2, -8, -3, 0],\n [2, -8, -1, 8],\n [4, 8, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[-1, 4, -6],\n [5, 2, 8],\n [1, 5, -8]]\nB =\n[[6, -6, 5, 8],\n [-3, -7, -1, 0],\n [-3, 0, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -5, 8],\n [-2, 6, -5],\n [1, 3, 7]]\nB =\n[[-7, 4, 1],\n [5, 1, 7],\n [7, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, -3, 6, 3],\n [-2, 6, -5, -7],\n [-8, 4, 4, -4],\n [5, -4, 1, -6],\n [-4, -6, -1, 5]]\nB =\n[[-6, 2, 0],\n [0, -6, 3],\n [-5, 5, 3],\n [-4, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "541", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[3, 7, 0],\n [-6, -8, 6],\n [2, 6, -1]]\nB =\n[[-1, -3, 4, 8],\n [3, 3, 1, 7],\n [-5, 0, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-8, -7, 0, 0],\n [-8, 4, -3, -7],\n [-7, -8, -7, 4],\n [3, -8, 1, -7]]\nB =\n[[-3, 6, 4],\n [8, -4, -7],\n [1, -5, -3],\n [-7, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[8, 5, 4, -3],\n [-1, -7, -8, -8],\n [-2, -6, -8, 7],\n [8, -7, 6, 3],\n [5, 4, 4, 6]]\nB =\n[[-5, 5, -2, -1, -3],\n [-6, 0, -3, -1, 4],\n [-1, 4, 8, -3, 7],\n [-2, 8, 8, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 0, -2, 1, -1],\n [7, 2, -7, -5, -5],\n [0, 0, 4, 6, 6],\n [7, 2, 6, -5, 7],\n [-5, 1, 7, 4, 8]]\nB =\n[[-4, -4, 5, 6, 4],\n [2, 4, -3, 5, 3],\n [2, -6, -8, -3, 1],\n [-2, -6, -8, 6, 6],\n [-3, 3, 2, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-5, -4, 4, 1, -4],\n [-1, -3, -7, 4, 6],\n [8, 3, 5, 8, 4],\n [7, 2, 8, -2, 8],\n [-5, 2, -4, -1, 6]]\nB =\n[[-2, 7, 1, -5],\n [-2, 8, 2, -8],\n [-8, -1, 3, 5],\n [-7, 6, -7, -2],\n [6, -6, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 5) of the product matrix AB given:\nA =\n[[-7, -4, -2, -4],\n [7, -3, 6, -8],\n [-1, 8, 2, 7]]\nB =\n[[0, 8, 7, 0, -4],\n [5, -1, 8, -2, 2],\n [-1, 5, 2, -2, 8],\n [4, 5, 5, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[-1, -2, -1, 0],\n [-8, 4, 6, 0],\n [-6, -2, 7, -3]]\nB =\n[[-5, -6, -2],\n [6, 4, -2],\n [2, -2, -8],\n [1, 5, -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 all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -2, 8, -1, -5],\n [-7, 8, 4, 6, 2],\n [5, 0, 0, -8, 2],\n [0, -7, -5, 3, -5],\n [8, -1, -1, 2, 5]]\nB =\n[[-6, -1, -6, -5],\n [6, 2, 8, 6],\n [-1, -1, 4, -4],\n [-2, -4, -6, 4],\n [0, 3, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, -3, -1],\n [0, -4, -5],\n [7, 6, 8],\n [5, -2, -2]]\nB =\n[[2, -1, -1],\n [-1, -2, -2],\n [-5, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[3, -4, -1],\n [8, -3, -7],\n [-4, 1, 3],\n [0, -6, 0],\n [-3, -8, -4]]\nB =\n[[1, -6, 3, -2],\n [-8, 2, 0, -1],\n [4, 6, -1, -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) when matrix A is multiplied by matrix B?\nA =\n[[0, 6, -5, 4, -2],\n [-3, -8, 2, 5, 8],\n [1, 1, 8, 1, 6]]\nB =\n[[-1, 2, -5],\n [-4, -8, 0],\n [6, -7, -3],\n [6, 7, -3],\n [0, -2, -7]]\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 product of the following matrices:\nA =\n[[-1, -5, 5, -6, 6],\n [2, 0, 1, 3, -3],\n [2, 8, -8, 5, -1]]\nB =\n[[5, -4, 5, -8],\n [8, 6, 0, -1],\n [0, 3, 3, -6],\n [5, 7, 7, 2],\n [2, -7, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -8, -6, -6],\n [3, -8, -8, 8],\n [8, 6, -7, -6],\n [5, 8, -5, 6],\n [3, 6, 7, 5]]\nB =\n[[-3, -8, -7, 6, -6],\n [5, 1, 8, -4, -2],\n [-2, 4, -3, -6, -5],\n [7, -5, -2, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -2, -6],\n [7, 0, 0],\n [-3, 8, 0],\n [8, 8, 5]]\nB =\n[[-6, -1, 3, -4, 8],\n [1, -8, -4, 1, 5],\n [2, -6, 1, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "767", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 3, 2],\n [-2, 3, -7],\n [7, -8, 7],\n [-6, 4, -4],\n [5, 5, -5]]\nB =\n[[4, 0, 4, 3],\n [8, -5, 6, 3],\n [6, -5, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -6, -4, 4],\n [5, -6, -7, -8],\n [-8, 1, -7, 3],\n [1, -6, -5, 7]]\nB =\n[[-3, 5, 8],\n [-1, -1, 0],\n [6, 0, -8],\n [-7, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "388", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, -3, -7, 3],\n [-1, -4, -1, 1, 5],\n [-8, 7, 1, -2, 1],\n [-6, -6, -4, 3, 4],\n [-4, 5, -5, 3, -1]]\nB =\n[[-3, -6, -1, -1],\n [5, -8, -2, 1],\n [3, -1, 5, -5],\n [2, 0, 3, 6],\n [-7, -4, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "621", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-8, 3, -7, 3, -1],\n [4, 8, 5, 2, 3],\n [5, 0, -1, -1, -8]]\nB =\n[[-4, -3, 0, -3],\n [5, 0, -8, -5],\n [-7, -5, -1, -5],\n [4, -5, -5, -8],\n [7, 1, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-3, -6, 4, 8, -5],\n [8, -6, -7, -3, -5],\n [2, -2, -8, 1, 6],\n [0, 0, 4, -5, 8],\n [-1, 2, -8, 3, -6]]\nB =\n[[-8, 8, 4, -8, 0],\n [-6, -2, 0, 6, 3],\n [-4, 4, 1, 0, -6],\n [-6, 4, -5, 5, 2],\n [5, 6, -3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 8, 8],\n [-4, -5, 2],\n [1, 7, 5]]\nB =\n[[0, -1, -3, -6],\n [-3, -4, -8, 3],\n [8, 6, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[8, -4, -3],\n [8, 4, -2],\n [2, -1, 7]]\nB =\n[[3, -7, -5],\n [7, -7, 5],\n [-2, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 5, -6, 8],\n [7, -2, 0, 1],\n [1, -8, 1, -3]]\nB =\n[[-1, -2, -1],\n [3, -5, 1],\n [3, -8, 0],\n [-1, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -8, -4, 5, -8],\n [-2, -6, -4, 7, -7],\n [-1, 3, 1, -3, 0],\n [0, -6, -5, 3, 0]]\nB =\n[[4, 2, 1, 6],\n [7, 0, -8, -1],\n [7, 6, 5, -4],\n [-2, 1, 5, 4],\n [-8, 4, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[1, 3, 5, -1, -6],\n [5, 2, -7, 2, -8],\n [0, 3, 8, 2, 2],\n [-1, 7, -1, 6, 4]]\nB =\n[[3, 5, -7, -7, -1],\n [-7, -3, -7, 7, 5],\n [-3, 2, 6, -8, 7],\n [-2, 5, -6, -8, -2],\n [-1, -3, -2, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[3, 0, -1, 6, -5],\n [8, 8, 3, -5, 4],\n [-6, -4, 3, -8, -2],\n [8, -7, -4, -6, -1]]\nB =\n[[-6, 4, -2, -5, -7],\n [-4, -8, -3, -4, 4],\n [0, -1, 4, 6, 2],\n [2, -2, -2, 8, -2],\n [-3, -7, 4, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[3, 8, 2, 6, 8],\n [6, -2, 8, 8, -7],\n [-5, -5, 6, -1, -1],\n [-1, 3, -2, 1, 4],\n [6, -1, 0, 4, -1]]\nB =\n[[6, -6, 0],\n [6, -7, 1],\n [6, 2, 2],\n [-6, 0, -1],\n [3, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 0, 2],\n [-7, 7, -4],\n [0, -6, 4],\n [-8, 6, 8],\n [6, 4, 1]]\nB =\n[[-4, 0, -5],\n [2, 1, -2],\n [-8, -2, 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, 4) when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, -3],\n [0, -1, 5],\n [-6, -7, 7],\n [7, 5, 5],\n [6, -8, -1]]\nB =\n[[4, -1, -1, -7],\n [-1, 7, -2, -1],\n [-3, -5, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -3, -1],\n [1, -5, -3],\n [-2, -5, 8],\n [-7, -5, 8],\n [0, 0, -2]]\nB =\n[[3, -4, 8],\n [4, -8, -2],\n [6, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, 5, 6, -3, 1],\n [2, 6, -5, -7, 7],\n [3, 8, -7, 7, 0],\n [4, -3, -6, -4, 3]]\nB =\n[[5, 8, -5, 8],\n [1, 7, 7, -2],\n [6, 2, 0, -4],\n [-7, -1, 2, 6],\n [-3, 2, 5, 0]]\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 product of the following matrices:\nA =\n[[-7, 2, 6, -6, 5],\n [-3, 8, -1, -3, -1],\n [-3, 6, 5, -7, -2]]\nB =\n[[4, -7, -4],\n [-1, -7, 8],\n [3, 3, -1],\n [-2, -8, -3],\n [3, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "439", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 0, -5, 6, 1],\n [-4, 5, -4, 6, -4],\n [6, -5, 5, 7, 8],\n [-8, 1, 4, -6, -5],\n [5, 6, 8, -4, 0]]\nB =\n[[-7, -7, 0, -4, 8],\n [3, 1, -1, -8, -5],\n [-6, 0, -3, -6, 6],\n [3, -2, 8, 1, -2],\n [-2, -1, -5, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, -5, -4],\n [5, 4, -6],\n [6, -3, 7]]\nB =\n[[4, 1, 2],\n [-5, -1, 8],\n [4, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, 5, -7],\n [5, 2, -2],\n [-5, -7, -8]]\nB =\n[[1, 5, 2],\n [-5, 3, 6],\n [-6, -6, 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 (3, 1) of the product of the following matrices:\nA =\n[[5, 8, 6],\n [8, -1, 1],\n [4, 0, -5]]\nB =\n[[2, -7, 3, 7],\n [-2, 0, -2, -1],\n [3, 7, -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 when matrix A is multiplied by matrix B?\nA =\n[[1, -9, -5, 6, -4, 3],\n [1, 1, 4, -6, -7, 1],\n [0, 2, 8, 9, 8, 4],\n [-1, 2, 8, 6, -8, 2],\n [-3, -9, -9, 6, 4, -5]]\nB =\n[[-3, 6, 10, 7],\n [2, -4, -7, 3],\n [10, -7, 0, 2],\n [7, -3, 4, 7],\n [-2, 8, -3, 5],\n [0, -6, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "332", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -2, 8, -9, 8],\n [-7, 0, -1, 4, 0],\n [-9, -3, -9, 10, -1],\n [-8, 7, -1, -1, 4],\n [5, 6, 7, -8, -8]]\nB =\n[[1, -2, 7, -6, 8],\n [-6, 4, 0, 0, 0],\n [-9, -3, -2, 0, 6],\n [3, -10, 5, 7, -3],\n [8, -6, -1, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1631", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -5, -9, -2, 10],\n [-10, 9, 6, -3, 4],\n [10, 1, 5, -6, -3],\n [-2, 8, 9, -10, -6],\n [-8, -2, 2, -7, -8],\n [3, 4, -6, 1, 10]]\nB =\n[[1, -3, 10, -7],\n [-1, 4, 0, 6],\n [2, 4, 1, 9],\n [10, 7, 2, -3],\n [-7, -2, 0, 8]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, 10, 6, -3],\n [9, 2, -7, 4, 7],\n [2, -9, -7, 10, 9],\n [8, 8, 1, 0, -6],\n [-2, 5, -1, 6, 1],\n [-9, -8, -6, 3, -7]]\nB =\n[[7, -2, -2, 7, -6, 7],\n [8, 1, -1, -5, -7, 7],\n [-1, -9, 6, 0, -9, -1],\n [-4, -6, -10, 0, 10, -3],\n [7, -4, 2, -2, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2493", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -8, -5, 3, 3],\n [3, 2, -1, -8, -9],\n [-3, -2, 1, -5, -2],\n [7, 6, 2, -6, -9],\n [9, 3, 9, -6, 8],\n [0, -3, -8, -1, -7]]\nB =\n[[1, -9, -7, -5],\n [-1, 5, 6, 7],\n [-10, -1, -8, 2],\n [-8, -7, -7, -8],\n [9, 2, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "886", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -6, 6, 4, 5, 10],\n [6, -3, 7, 6, 1, -10],\n [-1, 10, 4, -6, -5, 5],\n [-1, 7, 3, -2, 3, -3],\n [0, 2, 3, 6, 9, 3]]\nB =\n[[9, 8, -8, -9],\n [-3, 1, 6, 8],\n [-4, -8, -6, 3],\n [-9, 10, -6, 3],\n [-9, -3, 10, -2],\n [-5, -8, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-403", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-7, -6, 2, 2, -2],\n [0, -9, -1, 4, 5],\n [1, -1, 7, -6, 6],\n [3, -1, 4, -8, -4],\n [2, 3, 0, -4, 10],\n [5, 9, -10, -9, -1]]\nB =\n[[8, -2, 2, -8, 1, 2],\n [-5, -1, -3, -1, -5, 6],\n [6, 10, 0, -4, -7, -2],\n [5, -2, -5, 3, 10, -5],\n [1, 0, 0, -5, -10, 4]]\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 product of the following matrices:\nA =\n[[10, -5, 6, -1, 8],\n [9, 9, 4, 8, 5],\n [10, -7, 6, 3, -7],\n [-1, 0, -1, -1, -4],\n [8, 4, -8, -4, -5],\n [-7, 8, -3, -6, -7]]\nB =\n[[3, 3, 7, -8],\n [-9, 4, -9, 5],\n [0, -7, -2, -10],\n [-4, -3, -2, -5],\n [9, 3, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[6, -1, -4, 0],\n [-5, 3, 10, 3],\n [-5, 0, 5, -5],\n [4, 1, 8, 2],\n [-6, -6, 1, 10],\n [4, 1, 7, 9]]\nB =\n[[-2, 10, -2, -8, 7],\n [5, 10, -9, -3, -2],\n [-8, 3, -5, 8, -2],\n [-4, 5, -8, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-60", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -10, 4, 8, -2, 9],\n [3, 5, -1, -9, -8, 0],\n [9, 9, 2, -10, 9, 3],\n [4, 4, 7, 3, -5, -1]]\nB =\n[[8, -8, -3, 5],\n [6, 9, 0, 5],\n [-5, 8, -9, 10],\n [-2, 8, -9, 4],\n [7, -1, -3, -2],\n [8, 5, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1110", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 0, 10, 7, 6],\n [-3, 5, 7, -2, 2],\n [1, -1, -3, 1, -4],\n [-4, -8, 0, 8, 0],\n [1, -6, 10, 5, -8],\n [10, 2, 3, 0, -6]]\nB =\n[[-6, 4, 10, -1],\n [9, -7, 2, -1],\n [8, 5, -8, -3],\n [3, 9, 2, -4],\n [0, -2, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1465", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 7, -1, 1, 1, -1],\n [-1, 5, -1, 6, -4, 6],\n [1, -9, 9, 6, 3, -8],\n [9, 7, -1, -9, -4, -10],\n [3, 7, 1, -7, -4, -9]]\nB =\n[[9, 0, -4, -10],\n [-4, 4, -2, 7],\n [-9, -10, -3, -7],\n [1, 8, 7, 2],\n [9, -3, 6, -3],\n [-5, 7, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1284", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 7, -5, -4],\n [9, -3, 4, 8],\n [-4, -6, 5, -10],\n [1, 6, 10, 4],\n [4, -5, 2, 5]]\nB =\n[[3, -2, -6, -10, -10],\n [-8, -5, -10, -2, 2],\n [10, -2, -7, -8, 5],\n [4, -4, -10, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-397", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -4, -8, -6],\n [-10, 7, -8, -3],\n [2, -7, -7, -10],\n [-6, 9, 2, 5],\n [-1, -9, -4, -5],\n [0, -4, 3, 3]]\nB =\n[[-2, 1, 2, -8, -9],\n [8, -1, 2, 2, -1],\n [3, 10, -5, 0, 3],\n [0, -8, 3, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "254", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-3, -4, -6, -7],\n [2, -6, -4, 4],\n [-7, -5, 2, -8],\n [-3, 2, -6, 8],\n [-10, 1, 1, 10]]\nB =\n[[0, -7, 9, -8, 7],\n [4, 2, -8, 10, 8],\n [-10, 5, -10, 3, -8],\n [-2, 9, 5, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, 4, -9, 1, -6],\n [-1, -10, 7, -6, 0],\n [-4, -5, 3, -7, 6],\n [6, -3, 3, -8, 5],\n [-6, 7, 2, 9, 10]]\nB =\n[[-9, 8, 9, 0, -8],\n [-8, -9, -7, -10, 0],\n [-8, 6, -10, 0, 2],\n [-7, 2, -4, -6, 9],\n [-10, 9, 6, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "400", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -4, 2, -7],\n [6, 1, 4, -10],\n [-5, 4, 8, -2],\n [5, 5, 7, -6],\n [-2, 6, 4, -10]]\nB =\n[[-2, -9, 9, -5],\n [-7, -5, -7, -4],\n [0, -2, 10, 1],\n [9, 1, -10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1526", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -5, -9, -6, -2],\n [-7, -5, -7, -5, -10],\n [1, -7, 4, 4, 3],\n [8, 5, -9, -4, -2],\n [6, -9, -4, 6, -1],\n [8, -1, 8, 10, 4]]\nB =\n[[7, 10, -3, -9, 6],\n [-5, 1, 0, 9, 9],\n [-5, 9, -5, -2, -3],\n [2, -5, -6, 0, -5],\n [-7, -2, -3, 9, -3]]\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 product of the following matrices:\nA =\n[[7, -1, 8, -2, -2],\n [-10, 6, 4, 0, -9],\n [0, 10, 0, 9, -8],\n [-8, -2, -9, -1, 9]]\nB =\n[[-8, 0, 8, 8, 9, 1],\n [-10, 7, -3, 7, -1, -1],\n [4, 1, -2, -2, 1, -8],\n [-9, 6, -8, 6, -1, 0],\n [9, -9, 7, -6, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-285", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-4, 6, -6, 10],\n [-10, 5, -10, -2],\n [4, 3, 1, -9],\n [-9, 7, 10, 0],\n [-5, -6, -8, -1]]\nB =\n[[-4, 9, -9, 1],\n [-1, 5, 4, 5],\n [1, 9, -5, -9],\n [3, -2, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 6, -4, 1],\n [-6, 8, -1, 3],\n [9, -6, 8, 10],\n [-7, -1, 9, 5]]\nB =\n[[-4, 4, -1, 2, 9, 7],\n [2, 10, -3, -6, -4, -10],\n [-2, -2, -1, 0, 8, 9],\n [2, -8, 7, 5, 4, -5]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-8, 0, 10, -1, -9, 8],\n [-4, -7, 8, 5, 10, 10],\n [-3, 5, -4, 8, 4, 4],\n [7, 1, -9, -10, -6, 9],\n [0, -9, -1, -9, 7, 1]]\nB =\n[[1, 10, -6, -6, 10, 0],\n [8, -4, 6, -10, 1, 3],\n [7, -9, -10, 0, 10, -3],\n [4, -5, -2, 5, -5, -7],\n [3, -9, 9, 2, 3, 10],\n [1, -1, 1, 7, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2404", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -1, 2, 4, 4],\n [-1, 3, -4, 0, 1],\n [-3, -3, 0, 2, -1],\n [-2, 1, -8, -4, 9],\n [-9, -6, -6, -3, 0],\n [8, 0, -2, -1, -3]]\nB =\n[[3, -5, 0, 10],\n [-9, -5, -8, -5],\n [-4, -5, -4, 3],\n [-1, 5, -1, -9],\n [3, -10, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[-7, 6, -5, -7, 2, -6],\n [7, 9, -7, 3, 0, -2],\n [-7, -9, -2, 0, -1, 7],\n [8, 5, 6, 2, -4, 5]]\nB =\n[[-6, -8, -3, 9, -5],\n [7, -8, 4, 2, -3],\n [-2, 8, 9, -8, -5],\n [-3, -3, 4, -7, -8],\n [2, -10, 7, -10, 1],\n [-9, -5, 2, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "173", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[5, 4, -4, 1, 8],\n [-10, 7, 7, -8, -8],\n [3, 3, 10, 2, -8],\n [2, 3, -6, -3, 4]]\nB =\n[[5, 8, -6, -2, 2],\n [-1, 4, -3, -5, 0],\n [-1, 7, 4, -5, 4],\n [5, -1, -4, 3, 2],\n [-10, -10, 9, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-4, 5, -9, 1],\n [5, 3, 10, 5],\n [8, -10, -5, 0],\n [-8, 8, 6, 9],\n [-8, 8, -4, -5]]\nB =\n[[10, -7, 2, -9, 5, -4],\n [4, 9, -1, 2, 4, -9],\n [9, 5, 1, -8, -1, 5],\n [0, -7, 5, -10, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -2, -3, -9, -10],\n [10, 4, 1, -9, 8],\n [2, -5, -7, 8, -8],\n [-5, 1, -5, 4, -8],\n [4, 9, -6, 4, -6]]\nB =\n[[0, 4, 5, 7],\n [-3, -2, 1, -5],\n [-2, -8, -3, -4],\n [-4, 4, 8, 5],\n [-8, 6, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1109", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -1, 0, -5, -2],\n [-5, -6, -3, -3, -9],\n [3, -6, -5, 5, -9],\n [-3, -3, 6, -6, -9],\n [-2, 3, 9, 0, 7]]\nB =\n[[-9, -2, 3, 1],\n [-9, 4, -8, 7],\n [-5, 7, -5, -8],\n [4, -10, 4, 9],\n [3, 4, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1198", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 10, -7, -1, 6],\n [10, 6, 2, -4, 1],\n [-10, 4, -9, -5, -8],\n [-4, 3, 5, -7, 3],\n [-10, 6, -7, -2, 1]]\nB =\n[[9, 4, -5, 0, -9, -2],\n [6, 7, -4, -5, -8, 3],\n [-5, 8, 7, -7, -3, -4],\n [2, 3, -4, 10, -5, -10],\n [8, 5, -5, 2, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2260", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -10, -5, -3],\n [-8, 10, -9, -1],\n [1, -5, 0, 9],\n [-10, -6, 5, -8],\n [8, -7, -10, -1]]\nB =\n[[-6, -1, 7, -2, -10, 9],\n [-1, -1, 10, 2, 9, -7],\n [10, -9, 8, 10, 6, 2],\n [-3, -3, -8, -4, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-660", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 7, -10, -1],\n [-1, -7, -1, -2],\n [-4, -7, 3, -5],\n [5, 4, 10, -9],\n [-2, -2, -6, -1]]\nB =\n[[-1, -2, 0, 6, -1, -8],\n [9, 8, 0, -3, -7, -9],\n [6, -8, 0, -2, -3, -8],\n [4, -10, -5, -2, 2, 3]]\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 (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[4, 10, -1, -1, 9],\n [9, 10, 8, 1, 0],\n [-2, -10, -4, 1, -5],\n [-2, -8, 10, -7, 7],\n [8, 7, -2, 2, 6],\n [9, 6, -3, 2, 0]]\nB =\n[[-5, -2, -7, 10],\n [10, -1, 7, -9],\n [9, 10, -4, -4],\n [-9, 4, -5, -10],\n [-5, -7, -8, -9]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, -1, -2],\n [4, 2, -1, -1],\n [3, 8, -10, -7],\n [7, -6, -5, 9],\n [-9, 8, -2, 8],\n [-2, 7, 0, 0]]\nB =\n[[-10, -5, 2, -6, 10, 4],\n [4, 8, 10, 4, -7, -8],\n [-7, 7, 5, 9, -7, -3],\n [-8, -10, -9, -8, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2284", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 4, 5, 8],\n [9, 3, 8, 3],\n [8, 3, 6, -2],\n [-3, -1, 0, 4],\n [5, 2, 10, -10]]\nB =\n[[6, 6, -2, -1],\n [9, -6, -2, -8],\n [7, 5, 7, 10],\n [3, -5, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "794", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, 4, -6, 4, 1, -10],\n [6, 4, 10, -1, 3, -2],\n [9, 8, 8, -10, 2, -4],\n [7, 6, 2, 2, -4, -8],\n [4, -3, 9, -4, 4, 8],\n [10, -2, 7, -7, 3, -3]]\nB =\n[[2, -6, 2, 9, 9, -1],\n [-7, 2, 8, 5, 3, 1],\n [-3, -4, -3, -2, 6, -1],\n [-1, 10, 10, 10, -3, 7],\n [-8, -5, 7, -8, -10, 4],\n [2, 3, -6, 8, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 4, -3, -2],\n [-5, -5, 10, 4],\n [0, 4, 1, 3],\n [7, 5, -8, -6],\n [-4, -7, -8, -1]]\nB =\n[[-2, 9, -9, -1, 10],\n [2, -7, -10, -2, -7],\n [4, -5, -9, 9, -1],\n [9, -2, 1, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -3, 4, 9, -8, 2],\n [7, 9, 7, 0, -9, 9],\n [-9, 8, 5, 9, -6, -7],\n [-10, 1, -1, -4, 4, -9]]\nB =\n[[-2, 9, -8, 8, 8],\n [-7, -3, -9, 8, -2],\n [-1, 0, -8, -3, 2],\n [0, 2, 2, 8, 7],\n [8, -5, -4, 6, 3],\n [-3, 9, -8, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1788", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -5, 5, 9, -1],\n [3, -5, -7, 1, 10],\n [9, 2, -4, 10, -10],\n [-9, -6, -8, -3, 9]]\nB =\n[[-9, -4, -3, -4, -9],\n [5, -10, -10, 1, 6],\n [9, -3, 4, 1, 4],\n [-4, 5, -4, -7, 2],\n [-7, 2, -2, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-556", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[4, -6, 6, 6, -2],\n [9, -2, 8, 9, -2],\n [9, 7, 2, -8, 8],\n [-2, -7, -7, 4, -8]]\nB =\n[[0, 8, -10, 4, 10, 6],\n [7, 2, 7, 5, 9, 5],\n [-1, 10, -9, -4, 8, -5],\n [8, 2, 10, 4, 3, -4],\n [-10, -7, -10, -3, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 3, -1, 1],\n [10, -7, 6, 2],\n [10, -4, -5, 8],\n [-1, -4, 3, -4]]\nB =\n[[2, 9, -6, -2, 2],\n [-1, 3, 2, -2, -1],\n [0, -4, -2, -10, -8],\n [-10, -2, 1, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 6, -3, -7],\n [-2, -2, 4, -5],\n [-9, -1, -3, -3],\n [8, 3, 1, -2]]\nB =\n[[7, -9, -4, -7, 9],\n [-8, -8, 9, -9, -8],\n [-1, 1, 5, 0, -3],\n [0, 0, -9, 10, -7]]\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 product of the following matrices:\nA =\n[[0, -7, 4, -1, 1, -7],\n [2, 2, -3, -9, -2, 4],\n [-2, -5, 3, 10, -5, 3],\n [-2, -2, -8, -7, 3, 3],\n [0, 3, -9, 9, -7, -2]]\nB =\n[[-10, 0, 8, -4, 5],\n [-3, 1, 3, -7, 7],\n [4, -1, 5, -4, -6],\n [0, -7, -1, 1, 6],\n [-5, -2, 2, 1, 9],\n [2, -5, 10, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1008", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-7, -4, 0, 0, -10, -3],\n [4, 3, 1, 10, 5, -8],\n [-2, 10, -4, -9, -9, 10],\n [0, 0, 9, -7, 5, -10],\n [5, 9, -2, -5, 7, -9],\n [0, -1, -9, 7, 1, 6]]\nB =\n[[7, 9, 8, 3],\n [8, 8, -2, 4],\n [-3, 3, 8, 10],\n [-6, -2, -4, 2],\n [-9, 10, 10, 3],\n [9, 6, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2544", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -7, 9, -3, -3, 7],\n [-7, -2, 0, -3, 2, 9],\n [1, 0, -9, -5, 5, 10],\n [8, -3, -5, -8, -6, -3],\n [10, -3, -8, 6, -2, -8]]\nB =\n[[-1, 5, 10, 10, 9, -6],\n [-5, 8, -4, -1, 10, -10],\n [2, -10, 8, 2, 9, 2],\n [5, -7, -9, 10, 8, 5],\n [-2, -1, -10, -1, 0, 7],\n [4, -9, -9, 5, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -1, -3, 2],\n [-8, 5, -7, -4],\n [-7, 7, 9, -9],\n [7, 6, -2, -1],\n [0, 3, -6, -3],\n [5, 9, -6, 1]]\nB =\n[[-10, 3, 10, -10, -7],\n [10, 0, -7, -1, 5],\n [10, 8, -9, 6, 10],\n [-2, -3, 4, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1806", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-2, -7, 9, -5],\n [10, -9, 7, -8],\n [-4, -2, 6, 1],\n [-10, -8, -1, 2],\n [7, -6, 9, 6]]\nB =\n[[0, -7, 10, 7],\n [3, 7, 1, -4],\n [2, -5, 1, -8],\n [-10, 9, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "138", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 9, 6, -5, -3, -1],\n [-7, 10, -1, -1, -8, -9],\n [1, 7, 5, -3, 6, -3],\n [-3, -1, -6, -3, 3, 5],\n [-2, -8, 0, -10, -5, -6],\n [1, -3, 8, -7, 2, -2]]\nB =\n[[-4, -1, -4, -6, 5, 7],\n [4, -9, -7, 4, -9, -9],\n [5, -5, -4, 9, 6, 7],\n [-3, 4, -9, -9, -9, -1],\n [2, 4, -10, 2, 8, 1],\n [-10, 5, 5, 10, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2657", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -10, -5, -7, -4],\n [-1, 8, 2, -1, -9],\n [-1, 0, -9, 4, 2],\n [-5, -2, 5, -9, 10],\n [9, 1, 3, 9, -3],\n [5, 2, 3, -6, 7]]\nB =\n[[-2, -8, -6, 2],\n [-2, 0, 4, -3],\n [4, -8, -8, -2],\n [3, -8, 1, -3],\n [-2, -9, 9, 0]]\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 when matrix A is multiplied by matrix B?\nA =\n[[5, 0, -8, 7, -9],\n [-9, 3, 1, 5, 7],\n [10, 1, 1, -8, 1],\n [-9, 10, 7, -6, 3],\n [7, 3, 10, -4, -4],\n [-6, -4, 8, 3, -3]]\nB =\n[[-6, 9, 3, 6],\n [-9, 4, 9, 6],\n [-7, 9, 8, 5],\n [7, -9, -6, -5],\n [1, 0, 7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2379", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[10, -6, -6, -9, -8, -9],\n [-9, -5, 7, -10, -10, -6],\n [-5, -4, -10, 2, 1, 5],\n [-10, 3, 8, 7, -7, 4],\n [-6, 2, -6, -2, 1, -3]]\nB =\n[[1, 7, 8, 10, -3, 0],\n [0, 2, 9, 5, -5, 8],\n [6, 8, -6, -10, -5, 2],\n [-6, 9, -6, 9, 3, -8],\n [6, 1, 8, -8, -4, 8],\n [3, 3, 0, 7, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -5, 1, 8, -8],\n [9, -4, 2, 6, -5],\n [8, 4, 3, 9, -3],\n [-7, -5, 7, 9, -5],\n [4, -6, 1, -8, 3]]\nB =\n[[-6, 9, -5, 6],\n [-3, -6, 9, 6],\n [-8, -9, 4, 9],\n [5, 9, 10, -6],\n [-9, 10, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -7, -6, -5, -1],\n [4, -10, -6, 2, -7],\n [8, -6, 5, 5, 2],\n [1, -1, -5, 1, -6]]\nB =\n[[4, -7, -2, 7, -8],\n [-1, -4, 2, 8, 0],\n [9, 6, -7, 2, 7],\n [-1, -9, 6, -1, -8],\n [8, 0, 2, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-513", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -7, 3, -6, -8],\n [9, -3, 0, 0, -7],\n [7, 6, 9, 4, 3],\n [-3, -7, -2, 7, 4]]\nB =\n[[6, 3, 1, 0, 2],\n [4, -3, -9, -8, -3],\n [1, -4, -1, -4, 9],\n [-8, 9, 6, 1, 7],\n [0, -3, -8, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "714", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -2, 1, -6, -6],\n [-6, 3, 0, -7, 8],\n [9, -7, 5, 10, 9],\n [10, -3, -3, -3, 10],\n [-1, 4, 3, 9, -1],\n [-4, 2, 6, -3, 7]]\nB =\n[[-8, 9, -3, 3, 7],\n [-5, 7, 10, 10, 1],\n [5, 9, -4, -4, 6],\n [-3, 2, 3, -3, 7],\n [9, 7, -10, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "453", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -1, 2, -2, 8, -10],\n [9, 5, -1, -4, -8, -3],\n [-7, -7, -5, -4, 2, -2],\n [3, 2, -8, 3, 0, -2],\n [4, 3, 6, -8, -10, 9],\n [-3, 1, 3, -6, -7, 1]]\nB =\n[[-4, -1, -3, -7, 4, 1],\n [1, -6, 7, 0, 0, -4],\n [-6, -3, -1, 7, 10, 1],\n [1, -9, -5, 6, -9, -5],\n [-4, -6, -6, 2, 0, 3],\n [6, 4, 1, -10, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2104", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 8, 4, -3, 1],\n [9, 0, 7, -6, -8],\n [2, -7, -6, -7, 0],\n [-5, -10, 8, 7, 8]]\nB =\n[[-6, -8, 3, -4, 9, -4],\n [10, -4, 8, 0, -9, 4],\n [-8, -1, 6, 3, -6, 2],\n [-10, 5, -4, -7, -1, 8],\n [-1, 4, 6, 6, 5, -1]]\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 product of the following matrices:\nA =\n[[2, 6, -6, 1],\n [6, -2, 3, -4],\n [9, -4, -5, -6],\n [-10, 9, -7, 7]]\nB =\n[[-9, 1, -6, 3, -7],\n [1, 3, 1, 9, 2],\n [-3, -2, 2, 2, -8],\n [9, -2, 9, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -6, 7, -10, -10],\n [10, 1, -7, -9, 7],\n [0, -2, -7, 10, 3],\n [-4, -8, 1, 4, -9],\n [-7, 4, 4, 9, 7]]\nB =\n[[-4, 2, 0, -7, -10],\n [-6, 9, -10, 7, 10],\n [7, -1, -10, 3, -10],\n [9, 10, 0, 8, 4],\n [-8, -10, -9, -1, -6]]\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, 4) of the product of the following matrices:\nA =\n[[4, -6, 5, -1, -8, 6],\n [10, -2, 7, 7, 10, 3],\n [2, -8, 1, 5, -6, 1],\n [5, 6, 3, 8, -8, -10]]\nB =\n[[1, -2, -6, 9, -6],\n [-7, 3, 1, 6, 10],\n [7, -7, -9, -2, 8],\n [-3, 6, 4, -6, 1],\n [1, 3, 4, 4, 10],\n [7, 4, -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 absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -6, -3, 3, 2],\n [9, -5, -10, 10, 9],\n [-7, 7, 9, -1, 4],\n [-5, -3, -10, -1, -8],\n [-10, 3, -5, 4, 3]]\nB =\n[[3, 5, 3, 0, 0, 7],\n [-5, -3, 0, 9, 7, 3],\n [8, 3, 1, 2, 2, 2],\n [-2, -10, 2, 0, 0, 10],\n [-5, 0, -8, -10, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1738", "dataset": "MATH"}