{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -6, -1, -8, 7],\n [-7, 5, -6, 8, -6],\n [8, 0, -6, -4, 0]]\nB =\n[[-4, -3, 4],\n [-3, -5, -2],\n [-7, -7, -8],\n [5, -6, -7],\n [-7, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -4, 6, 8, -4],\n [-7, -6, -8, 5, 2],\n [-4, 1, 4, 7, 8],\n [-1, -2, 8, 1, 5],\n [7, -1, 8, 3, -5]]\nB =\n[[0, 4, 1],\n [2, 7, 8],\n [2, 4, -3],\n [-2, 0, 7],\n [-1, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "417", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[4, 3, 8, 4, -4],\n [0, -7, -8, -4, -2],\n [-7, 2, -4, 6, 4]]\nB =\n[[-7, -8, 6, 0, 2],\n [-1, 5, -6, -8, 2],\n [0, 8, -4, 2, 4],\n [-4, 5, -7, -7, 4],\n [-4, 7, 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 absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -8, -7],\n [-2, 5, -1],\n [6, 7, 5]]\nB =\n[[-5, 3, -3, 8, -2],\n [-5, 8, 2, 6, 2],\n [-6, 1, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "694", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 5, 4],\n [-3, 6, 2],\n [8, 7, -8],\n [-4, 5, -3]]\nB =\n[[6, 1, 3, -8],\n [-8, 1, -1, -7],\n [-6, -6, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-343", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-5, 7, 3, -6, 7],\n [8, 8, -8, 2, -5],\n [-5, -4, -4, 5, -3]]\nB =\n[[-5, -2, 1, 2, 2],\n [-5, -7, -6, 7, 3],\n [7, 1, 2, -4, 8],\n [2, -7, 4, 8, 1],\n [0, -3, -3, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -6, -6, 6],\n [-5, -1, 6, -2],\n [1, 1, 8, -8]]\nB =\n[[-2, 1, 2, -3, -6],\n [-6, -4, 4, 7, 3],\n [6, 5, -5, 2, 3],\n [-5, -7, 6, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "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, 0, 8],\n [4, 1, -2],\n [1, -1, -4]]\nB =\n[[-6, 4, 6, -7],\n [6, 8, 1, -1],\n [4, -8, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "340", "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, -1, -2, 3],\n [7, 2, 1, -2],\n [8, 0, -7, 5],\n [-8, -8, -4, -1]]\nB =\n[[-6, -7, 7, 7, -4],\n [-4, 4, 3, -1, 3],\n [-4, -7, -7, -1, -6],\n [-7, 2, 3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1018", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[6, 5, -7, 7, 4],\n [-3, 6, 6, -3, 0],\n [6, -4, -4, 4, -8],\n [4, 5, -2, -5, 3],\n [-8, 1, 6, -3, -1]]\nB =\n[[4, -4, -3, -4],\n [2, 1, -2, 6],\n [2, -3, 2, 8],\n [2, 5, 0, 3],\n [8, -1, -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 (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[3, -1, 5],\n [-7, 6, -1],\n [7, 6, 4],\n [-1, -8, 7],\n [-2, 6, 3]]\nB =\n[[-4, -5, -2],\n [-3, 1, 6],\n [3, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-2, -6, 1],\n [2, 5, -8],\n [-8, -6, 8],\n [6, -4, 6],\n [8, 3, -8]]\nB =\n[[3, 5, -3],\n [4, -1, 4],\n [5, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-5", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[-3, 3, 1, 8],\n [-2, 2, -6, -7],\n [-7, -2, -8, 3],\n [-6, 6, -7, -8],\n [3, 4, -5, -3]]\nB =\n[[-6, -1, -1],\n [3, 1, 5],\n [5, 8, -5],\n [2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 3, 0, 1, 6],\n [0, 1, 2, 6, -8],\n [0, -7, -3, -1, -7],\n [-6, -7, -7, -5, 7]]\nB =\n[[-3, 1, 0],\n [-3, -3, -1],\n [-7, 6, -6],\n [2, 5, 6],\n [3, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -4, -2],\n [-8, -4, -1],\n [-8, 3, -1]]\nB =\n[[0, -1, -2, -4],\n [8, 3, 0, -2],\n [-7, 8, 1, 8]]\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 when matrix A is multiplied by matrix B?\nA =\n[[8, 6, -2],\n [-3, 7, 7],\n [-3, 3, 0],\n [-2, -5, 3]]\nB =\n[[4, -2, 5],\n [-3, 3, 5],\n [2, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[-6, -2, 3, -2, 1],\n [-5, 8, -2, 5, 2],\n [3, -5, 8, 3, -5],\n [0, -2, 1, -3, -2]]\nB =\n[[-4, 5, 6, 1, 0],\n [4, 3, 5, 8, -6],\n [-3, 0, 6, -7, -8],\n [-3, -7, 0, -8, -1],\n [-8, 7, 7, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-6, 7, -6, 1],\n [-8, -3, -6, 6],\n [7, 5, 6, -7],\n [3, -5, -4, 5],\n [4, -8, 3, -6]]\nB =\n[[0, -8, -7],\n [6, 4, 4],\n [8, -6, 6],\n [-6, -3, 6]]\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 when matrix A is multiplied by matrix B?\nA =\n[[1, 6, 2, -6],\n [-6, 2, 0, -2],\n [4, 2, -4, 3],\n [7, -4, -8, -3],\n [1, 0, 6, -7]]\nB =\n[[6, 7, 5, -4],\n [-8, 0, 0, -7],\n [2, -1, -2, 3],\n [-5, 5, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-7, 3, 4],\n [-6, -1, -1],\n [0, 4, 3],\n [4, 1, -3]]\nB =\n[[8, 7, 4, 7, 2],\n [4, 6, 0, 4, -1],\n [-1, -4, -5, -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 product of the following matrices:\nA =\n[[-5, 2, 2, -6, 5],\n [-8, -7, 4, 0, 7],\n [-6, 8, 3, -7, 3]]\nB =\n[[4, -3, 3, -6, -7],\n [4, -7, -1, -8, -6],\n [8, 7, -7, -5, -6],\n [3, -3, -2, -6, 8],\n [-8, -4, -7, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-270", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 4, 3, 5, 5],\n [-8, 5, 0, -1, 3],\n [-8, 3, 0, 3, 4]]\nB =\n[[3, -5, 4, 1, -2],\n [-5, -5, 6, 3, 2],\n [-1, 3, -3, -6, -4],\n [-7, -6, 6, -4, 1],\n [8, -3, -7, 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 (4, 2) of the product of the following matrices:\nA =\n[[-4, -3, -6, -2],\n [5, 6, -4, -3],\n [8, -1, 2, 6],\n [3, 1, 1, 4]]\nB =\n[[-8, -1, 2],\n [-7, -7, 7],\n [5, -4, -5],\n [-2, -8, -5]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, 8, 4, 6],\n [6, -6, 7, 2, -4],\n [-3, 3, 4, 8, 4],\n [-7, -2, -2, 0, 3]]\nB =\n[[-7, 3, -1, 1, 1],\n [-7, 0, 8, 7, 4],\n [-4, -6, 1, -7, 5],\n [-2, -4, 4, -6, 6],\n [7, -1, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -7, -6],\n [-6, 3, 2],\n [-2, 7, -5],\n [1, 1, -6]]\nB =\n[[4, -3, 1],\n [-4, 2, 8],\n [-3, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "410", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[7, 7, -8, -2],\n [2, 7, -8, 5],\n [8, 7, 7, -1],\n [-8, 6, -8, 4]]\nB =\n[[-8, 5, 6, 1, -1],\n [-8, 5, 3, 4, 2],\n [-7, -5, -2, -2, 2],\n [6, 4, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -4, -7, -4, 6],\n [-7, -6, 1, -8, -6],\n [-6, 8, -4, 8, 5],\n [-8, -2, -6, -4, -4]]\nB =\n[[2, 6, 0],\n [-4, -7, 2],\n [-8, -8, -7],\n [-5, -1, -3],\n [-6, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -5, 1, -2],\n [5, -2, -6, 3],\n [-6, 2, -2, -7],\n [-6, -4, -7, 6]]\nB =\n[[2, -4, 8, -5],\n [7, -6, -4, 6],\n [7, 6, -7, 3],\n [1, -2, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[2, -7, -5, 7, 2],\n [-7, 5, -5, 8, 2],\n [3, 5, -2, 7, -3]]\nB =\n[[-6, 4, -3],\n [7, -6, -1],\n [7, -1, -8],\n [-5, 6, 1],\n [-1, 4, 3]]\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 product of the following matrices:\nA =\n[[7, -8, -5],\n [1, -7, -3],\n [3, -8, 5],\n [5, 5, 8],\n [6, -3, 7]]\nB =\n[[3, -2, 7, 1],\n [-7, 0, -7, -6],\n [2, 5, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "786", "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, -6, 0],\n [-3, 5, 0],\n [-2, -7, 6]]\nB =\n[[5, 0, 7, 3, -3],\n [-3, -8, -8, 5, -4],\n [4, -3, -1, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "550", "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, -8, -4],\n [-3, -3, 2],\n [5, -6, 1],\n [-3, 3, 2]]\nB =\n[[2, 8, 7, -6, 6],\n [-1, 2, 7, 0, -7],\n [-5, -7, 4, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "588", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 8, 0],\n [-1, -6, 2],\n [-7, 7, 0],\n [-3, -4, -8],\n [-8, -3, -1]]\nB =\n[[4, -8, -6],\n [-7, 5, 6],\n [-2, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -2, 0, -7],\n [-8, -1, 4, -8],\n [-3, -6, -3, 0],\n [1, -7, -8, 4]]\nB =\n[[4, 7, -2, 8, -4],\n [-6, 4, 6, 3, -3],\n [2, 6, -1, 5, -3],\n [-3, 7, 3, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "769", "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, 3, -7, 4, -5],\n [5, -1, 8, 0, 0],\n [-5, 6, 0, -3, -6]]\nB =\n[[8, 5, 7],\n [-8, -2, -1],\n [-2, 7, 5],\n [-1, 0, 2],\n [5, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "398", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 5, 3],\n [-7, 8, 2],\n [7, -7, -3],\n [-8, -8, -8]]\nB =\n[[1, 2, -8],\n [2, 2, -4],\n [8, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "353", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 7, 3],\n [-5, -4, -1],\n [6, -5, -7]]\nB =\n[[-1, -8, -6, 8],\n [4, 5, -4, -2],\n [1, -1, -1, 4]]\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, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, 0, 0, -5],\n [-5, 7, 0, -1],\n [7, -2, 0, -7],\n [6, 0, -5, 7]]\nB =\n[[-6, -3, 2, -2],\n [5, -6, 4, -8],\n [8, 5, -8, -4],\n [3, -1, 7, -6]]\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 product of the following matrices:\nA =\n[[2, 4, 1],\n [-2, -7, 1],\n [4, -5, -3],\n [0, 7, 6],\n [-5, 2, -2]]\nB =\n[[6, -4, 6],\n [5, 2, -8],\n [1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 2, 7],\n [-1, 8, 0],\n [-3, 5, -7],\n [8, -2, 1]]\nB =\n[[0, 6, 2, 1],\n [-6, 2, -5, 5],\n [-3, -3, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "479", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, 8, -2, 3],\n [8, -5, 5, 0],\n [-7, -5, -8, 8]]\nB =\n[[7, 6, 2],\n [7, 0, 4],\n [5, 7, 4],\n [2, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, -1, 4, -2, -8],\n [5, -2, 5, -1, -3],\n [-7, -3, 3, 4, 2],\n [-5, 4, -2, 7, -5]]\nB =\n[[0, 2, -4, -3, -4],\n [-2, 3, 8, 5, -5],\n [5, 4, -7, 2, 2],\n [-1, 0, 0, 8, -3],\n [3, 5, -8, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "691", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 4, -4],\n [-4, -5, 6],\n [2, -3, -2],\n [7, 7, -1],\n [-6, -4, 3]]\nB =\n[[1, -5, 1, 0, 5],\n [7, 0, -3, -2, 5],\n [3, -1, -7, 7, -5]]\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 product of the following matrices:\nA =\n[[-5, -7, -6, -2],\n [8, 6, 2, 3],\n [-7, 6, -2, -4]]\nB =\n[[-2, -6, 7, -1],\n [-7, 1, 3, -4],\n [2, -3, -3, -7],\n [-8, -8, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "654", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-1, 8, 7, 2],\n [3, -3, -7, 1],\n [-4, 7, 2, 5]]\nB =\n[[-4, 2, 8],\n [1, -1, 8],\n [1, -3, 6],\n [5, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[0, 3, 7, -2],\n [-7, 3, 0, 3],\n [-2, 3, -5, -4],\n [-6, -2, -3, -6]]\nB =\n[[-3, -6, 7],\n [7, -5, 6],\n [6, 0, 8],\n [-4, 7, 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 product of the following matrices:\nA =\n[[-2, 1, -4, -2],\n [4, -3, 3, 4],\n [-5, 3, 0, -8],\n [3, 0, 0, 6],\n [-3, -8, -1, -5]]\nB =\n[[-1, -6, -4, 1],\n [-5, 0, -7, -2],\n [8, 2, 0, 1],\n [2, 7, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -4, -4, -6],\n [5, -3, -8, -6],\n [-4, -6, 7, 3]]\nB =\n[[3, 3, 8, -4, 8],\n [-2, -2, 4, -6, -4],\n [7, -3, 1, -8, 7],\n [-6, 0, -7, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "579", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 7, -7, 0],\n [-8, -5, 8, -2],\n [7, 1, 1, 0]]\nB =\n[[6, -6, -8, 2, 6],\n [-5, -2, 6, 2, 6],\n [-4, -4, -7, -7, 6],\n [6, 5, 3, 6, -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 product of the following matrices:\nA =\n[[-6, -1, 6, -5, 4],\n [7, -4, -4, 6, -4],\n [-8, 2, 6, 6, 1],\n [4, 3, -8, 2, -8],\n [6, 3, 1, -2, -4]]\nB =\n[[0, -1, -6, 0],\n [-4, -2, -5, -3],\n [-7, 8, -8, 3],\n [-6, -4, -7, -4],\n [-7, 0, 0, -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 product of the following matrices:\nA =\n[[7, 6, 7, -4, -6],\n [3, -8, 5, -7, 0],\n [-8, 5, -3, 8, -6]]\nB =\n[[1, -3, -2, -1],\n [8, 0, 8, 2],\n [6, 0, 4, 7],\n [-6, -2, -3, -5],\n [3, 7, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "611", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -7, 3, 0],\n [-7, -8, -4, 1],\n [-3, -4, -6, 0],\n [7, 6, 2, 5]]\nB =\n[[-3, -6, 7, 4, -7],\n [8, -6, -3, 0, 8],\n [-6, 3, -1, -1, -4],\n [-4, -7, 2, 7, -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 (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[-2, 8, -5, 3],\n [6, -4, 1, -8],\n [-5, -4, -7, -3],\n [2, 8, -7, -1],\n [4, -3, 1, -5]]\nB =\n[[-8, 5, 0, 4, 7],\n [4, 1, 5, 6, -5],\n [1, -6, 3, 1, 4],\n [-1, 5, 4, 4, -7]]\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 product of the following matrices:\nA =\n[[0, 1, -8],\n [-8, 5, 4],\n [3, -8, 7]]\nB =\n[[-3, 0, 6, 8],\n [-6, 1, 3, 7],\n [3, 2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 6, -8, 4],\n [-5, 7, 8, 6],\n [-2, 3, -3, -8],\n [-5, -2, 2, 0],\n [-1, -7, 6, -1]]\nB =\n[[-8, 8, 5, 2],\n [5, -8, -3, -2],\n [0, -6, 7, -1],\n [-1, 3, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-98", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -8, -5],\n [6, -8, 3],\n [2, 8, 8]]\nB =\n[[-5, -1, 5, -4],\n [-2, -5, 3, -2],\n [-1, 1, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[4, -1, 6],\n [-5, 7, 2],\n [-8, 7, -5],\n [1, 5, 6]]\nB =\n[[-4, 4, -5, -3],\n [-8, -7, 2, 1],\n [-6, -2, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 0, -2, 1],\n [-4, 7, 2, -6],\n [3, 6, -2, 5],\n [-4, -7, 3, 4]]\nB =\n[[-1, -3, 8, -1, -8],\n [1, 8, -2, -5, -8],\n [-3, -7, 1, 8, 2],\n [5, -5, -1, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "723", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[0, 6, -3, -5, 4],\n [-4, 3, 1, 5, -5],\n [-4, 4, -7, -7, 7]]\nB =\n[[-6, 4, -2],\n [-3, 7, 1],\n [2, 0, 5],\n [4, 6, -1],\n [7, -6, 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 product of the following matrices:\nA =\n[[3, 5, -2, -1],\n [-8, 3, -5, -3],\n [1, 6, -1, 0],\n [-6, 8, -7, -3],\n [0, -8, 8, -8]]\nB =\n[[2, -6, 7, -1],\n [-2, 6, 3, -7],\n [1, -7, -1, 3],\n [-1, -4, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 1, -3, 0],\n [2, -6, 2, 8],\n [-6, 2, 5, 4]]\nB =\n[[3, -2, 5, 0, -7],\n [3, -7, -7, -5, -7],\n [-5, -3, 0, 3, -8],\n [-7, -8, 5, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 4, 2, 1, 3],\n [5, 2, -6, -1, 5],\n [6, 2, 7, -1, -2]]\nB =\n[[-4, -1, -1, 1, -7],\n [1, -4, 6, -7, -2],\n [3, 3, 2, 6, -2],\n [2, 8, -8, -8, 0],\n [5, 7, 5, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -8, -1],\n [4, 1, -5],\n [7, 4, 5],\n [-6, 6, -6]]\nB =\n[[-8, -3, -7],\n [3, 4, 5],\n [1, 4, -6]]\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 product of the following matrices:\nA =\n[[6, -5, 6, 1, 6],\n [-3, -7, 0, -1, 4],\n [-6, 8, -1, 0, 4],\n [-4, 1, 5, -1, 4]]\nB =\n[[1, 0, -6],\n [-3, 4, 6],\n [-1, 1, -2],\n [-5, -2, -5],\n [-3, -3, -7]]\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 when matrix A is multiplied by matrix B?\nA =\n[[7, -7, 8, 1, 3],\n [0, 6, 7, -5, -7],\n [-1, 6, 5, 2, -1],\n [-1, -2, -7, 8, 2]]\nB =\n[[-3, -2, -1, 7],\n [0, 2, 4, 6],\n [-1, -7, -2, 8],\n [-1, -2, 8, 1],\n [-3, -2, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "668", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 6, -2, 2, 8],\n [7, -6, -7, -8, 5],\n [-6, -8, -8, 5, -4]]\nB =\n[[4, 4, 5, -4, 8],\n [-7, -2, 0, -8, -8],\n [3, -7, 7, 3, -1],\n [-2, 7, 7, 3, 0],\n [-8, 7, 4, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 3, -7],\n [8, 5, -5],\n [-5, -7, 5]]\nB =\n[[1, 2, -3, 5, 8],\n [-2, -8, 7, 2, 1],\n [7, 1, 8, 3, 7]]\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 product of the following matrices:\nA =\n[[8, 8, -4, -6],\n [8, 2, -2, 0],\n [4, 4, 3, -3],\n [2, -5, -4, 8],\n [-5, 0, -5, -7]]\nB =\n[[-1, 4, -5],\n [-5, 8, -1],\n [5, -6, 5],\n [4, -1, -6]]\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 product of the following matrices:\nA =\n[[3, -1, -6, -8],\n [-7, -5, -2, -8],\n [0, -4, -1, 6]]\nB =\n[[0, 1, 4],\n [5, 8, -1],\n [7, -1, -3],\n [-6, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -2, 8],\n [-1, -2, 5],\n [4, -2, 4],\n [5, 3, 5],\n [-6, 3, 3]]\nB =\n[[-5, 2, -2, -6, -6],\n [2, -8, -1, -5, 4],\n [-5, -6, 5, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 2, -2, -5, -7],\n [8, -8, -7, 7, 2],\n [-6, -3, 8, 2, 2],\n [7, -5, -3, 3, 3],\n [0, 8, -5, -7, -7]]\nB =\n[[3, -3, -6],\n [7, 7, -1],\n [8, -3, -3],\n [5, -7, 0],\n [-6, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -8, -5],\n [0, -4, 4],\n [8, -5, 7],\n [2, 3, 5],\n [0, -7, 1]]\nB =\n[[8, 4, -7, 2, 5],\n [-1, 8, 6, 7, 4],\n [-5, -1, 8, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-564", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 0, -5, 6, -4],\n [8, -3, 2, -4, -7],\n [3, 8, 4, -6, -2],\n [-2, 0, -7, 0, 5],\n [-2, -3, 8, -7, -6]]\nB =\n[[6, 6, 1, -3, 5],\n [6, -8, 5, 4, -3],\n [-6, -8, 7, -8, -6],\n [-2, -4, 6, -1, -4],\n [6, 3, 1, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-6, 7, 5, -6],\n [4, 3, -2, 6],\n [2, -3, 4, 3],\n [-6, -4, -6, 2],\n [6, -2, -3, 4]]\nB =\n[[7, 2, -1],\n [1, 4, -5],\n [0, -7, -4],\n [-4, 7, -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 product of the following matrices:\nA =\n[[-5, -2, 1, -6],\n [0, 3, 5, -3],\n [-4, 0, 7, -3],\n [0, 6, 5, 3]]\nB =\n[[7, -8, 0],\n [-2, 7, -7],\n [7, 5, -7],\n [8, -5, 1]]\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, 2) when matrix A is multiplied by matrix B?\nA =\n[[-1, -4, -3],\n [-4, -4, 8],\n [4, 8, 5]]\nB =\n[[5, 3, 4, 6],\n [6, -8, -4, -7],\n [2, 1, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 7, -8, -5, 1],\n [-7, -8, -4, -4, 0],\n [2, 3, -8, -6, 0],\n [-6, -4, -2, -6, -6],\n [3, -4, -7, -8, 4]]\nB =\n[[3, -4, 5, -6, -7],\n [0, -4, -1, -1, 4],\n [8, 2, -1, -5, -2],\n [-4, 8, 4, -1, 5],\n [4, 5, 3, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "943", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[4, 4, -3],\n [8, 3, -1],\n [5, -5, 8],\n [2, 8, 8],\n [5, 8, -2]]\nB =\n[[0, 0, -2, -6, -7],\n [-8, 6, -6, 3, -6],\n [-2, -1, -1, -6, -5]]\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 product of the following matrices:\nA =\n[[6, 4, 7, 6, -5],\n [0, -6, 6, -4, -8],\n [-7, 5, 1, -7, -7],\n [7, -3, 1, -1, 2],\n [6, 5, 7, -2, 8]]\nB =\n[[-4, -7, -4, -2],\n [-8, -5, -7, -3],\n [7, 5, 7, -6],\n [5, 4, 1, -5],\n [-5, -6, -2, 5]]\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[[-5, -2, -8],\n [-6, -5, 8],\n [0, -7, 6],\n [8, -6, 7]]\nB =\n[[0, -7, 2],\n [3, 5, -1],\n [-4, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -1, -8, -8, -7],\n [6, -1, 8, -3, -7],\n [-4, -7, -4, 7, 7]]\nB =\n[[-2, 4, -8, 0],\n [3, 7, -2, -1],\n [1, -4, 8, -6],\n [-6, -5, 8, -6],\n [-6, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 0, 0, 8, 3],\n [-3, 6, 5, -8, -3],\n [3, -6, -3, -8, -6],\n [8, 6, 2, -1, -4],\n [-3, -3, 5, -8, 3]]\nB =\n[[-1, -6, 2, 0, -2],\n [4, -2, 7, -8, 7],\n [3, -1, 1, -6, 0],\n [-7, 5, 2, -2, -3],\n [-4, 8, -4, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1234", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 5, 4, -8, -2],\n [4, 3, 1, 1, 3],\n [5, -3, -3, 4, -4]]\nB =\n[[-2, -5, 3, -5],\n [-7, -5, 3, -8],\n [8, -1, -5, -2],\n [-1, -5, 5, 0],\n [-3, 7, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 5) of the product matrix AB given:\nA =\n[[-2, 4, 0, 1],\n [0, -1, 8, 6],\n [-5, -6, -8, 2],\n [5, -1, 8, 4]]\nB =\n[[-7, -5, -3, -2, 6],\n [1, 5, -6, 0, 6],\n [8, 8, -1, 0, 0],\n [5, 7, 0, 6, 5]]\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 when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 7, -5],\n [-7, -1, 3, -1],\n [-7, 7, -1, 5],\n [4, 0, -7, 8],\n [-1, 2, 5, 0]]\nB =\n[[-7, -6, 2, -5],\n [2, -1, -5, 0],\n [2, 6, 8, 0],\n [-1, 8, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -6, 4, 5, -6],\n [4, -8, 0, -8, 8],\n [-3, 3, -7, -3, -2],\n [1, 7, -3, 6, -8],\n [5, 2, 3, -6, 2]]\nB =\n[[2, -3, 6],\n [-7, -5, 1],\n [1, -2, -5],\n [-4, -2, 1],\n [8, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -1, 8, -8],\n [2, -4, -4, -1],\n [-6, 5, -8, 6]]\nB =\n[[0, -5, 0, -7, 0],\n [-6, -6, 8, 0, 3],\n [5, -3, 4, -6, 1],\n [-4, -3, -6, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -7, -4],\n [-2, 7, -8],\n [-4, -2, -8],\n [7, 4, -1]]\nB =\n[[-2, 2, 2, -3, 7],\n [6, -3, 2, -4, 6],\n [-2, -3, 6, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 7, 2, 3, 8],\n [8, 7, 5, 2, 1],\n [-8, 2, -5, -8, -7],\n [-3, -2, 1, -7, 8]]\nB =\n[[-7, -4, 4],\n [-5, 3, -1],\n [8, 5, -2],\n [-8, -6, -6],\n [-1, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -6, -4],\n [-3, 8, -5],\n [5, -8, -3],\n [3, 6, -3],\n [7, -3, -2]]\nB =\n[[1, 1, 2, -1],\n [4, 0, -4, 7],\n [7, 2, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -3, -1, 7, 3],\n [6, -2, -6, 1, 8],\n [6, -1, 4, -2, 1],\n [-7, -5, -3, -7, -7],\n [1, -3, -3, -5, -4]]\nB =\n[[6, -1, -6],\n [-4, 7, -3],\n [4, 7, -3],\n [-6, 8, -1],\n [-5, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "787", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -7, 8, 1],\n [-6, 6, 7, -5],\n [3, -5, 8, -3],\n [2, 4, -4, 7],\n [7, 3, -7, -4]]\nB =\n[[4, -1, 2, -3],\n [8, 3, 7, -4],\n [2, 6, 7, -1],\n [1, 0, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 8, -3],\n [-7, 7, 4],\n [1, 6, 2]]\nB =\n[[3, -3, 8, 6, -4],\n [-3, -4, 2, 2, 1],\n [6, 4, -2, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "433", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 8, -6, 6, 4],\n [-2, 4, 0, 0, 4],\n [5, 4, 4, -3, 3]]\nB =\n[[-7, -1, 5, 8],\n [-1, 2, 7, 2],\n [4, 3, -5, 3],\n [0, 5, 5, -2],\n [-7, -1, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-2, 1, 3, -3, -7],\n [5, 8, 0, -8, 3],\n [6, -6, -6, -4, -1],\n [7, 2, 5, 7, -1],\n [0, 4, -6, 5, -7]]\nB =\n[[6, -4, 3, -6, -7],\n [-7, 8, 3, -5, 7],\n [3, -7, 4, 4, 1],\n [-3, -6, 4, -7, 6],\n [1, -6, -5, -5, -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 when matrix A is multiplied by matrix B?\nA =\n[[4, -8, 7],\n [5, 3, -4],\n [-6, 2, 7],\n [-7, 6, 3]]\nB =\n[[4, -7, -4, 7, -7],\n [-3, -4, 7, 8, 1],\n [1, 2, -1, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "722", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -7, 1],\n [-2, -1, -7],\n [3, 6, -1],\n [-2, -2, 7],\n [-8, 1, 5]]\nB =\n[[4, -3, -3, -6, -5],\n [0, 1, 1, 1, 1],\n [-8, -2, -6, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, -4, -1],\n [7, -8, -6],\n [-3, -4, 8],\n [8, -1, 6],\n [6, -5, 2]]\nB =\n[[-4, -7, -6, -6, 6],\n [0, -2, -7, 8, -2],\n [3, 6, 8, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-6", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -6, 6],\n [1, -3, 7],\n [-7, -1, -3]]\nB =\n[[4, -1, 3, -7, -6],\n [7, 0, 5, 6, 4],\n [0, -2, 5, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "517", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-1, 1, -8, 3],\n [1, 4, -4, 4],\n [3, 2, 1, 7],\n [3, -5, 6, -3]]\nB =\n[[2, 3, 2, -3, 4],\n [0, -3, 7, -2, 3],\n [0, 8, -7, 3, -3],\n [1, 3, -5, -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 product of the following matrices:\nA =\n[[4, -5, -2, -5],\n [5, 2, 1, -3],\n [-1, 5, 8, 0],\n [4, -3, 8, 5],\n [-7, -1, 7, -7]]\nB =\n[[-1, -8, -4],\n [-2, 7, -3],\n [5, 8, 2],\n [-7, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "311", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, 7, 7, -6],\n [0, 3, -4, -8],\n [3, -8, 3, -3],\n [-8, -6, 5, -4]]\nB =\n[[-1, -1, -5, -4],\n [-6, -8, -5, -5],\n [6, 7, -7, -5],\n [2, -2, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 7, 1, -2],\n [1, -7, 5, 3],\n [-4, 1, 8, -4],\n [8, 5, 7, 3],\n [3, -4, -5, -3]]\nB =\n[[7, 1, 7, 1, 7],\n [-3, 0, -6, 7, -3],\n [-6, 8, 0, -6, 6],\n [8, 7, -8, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 0, 2],\n [2, 2, 2],\n [-6, 0, -5]]\nB =\n[[-7, -1, -8, -5, -6],\n [0, -2, -6, -6, -4],\n [-2, 1, 6, 3, -5]]\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 when matrix A is multiplied by matrix B?\nA =\n[[0, 1, 8],\n [0, 1, -6],\n [1, 4, 7],\n [-1, 8, 3],\n [-8, -5, -5]]\nB =\n[[7, 8, -3],\n [-5, 3, -6],\n [4, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-210", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[2, -6, 7],\n [5, -8, -8],\n [1, -5, 8],\n [-7, 7, -5],\n [7, 5, -1]]\nB =\n[[0, 1, 6, -7],\n [-7, 4, 8, 2],\n [-5, 6, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "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, -1, 5, -6, -1],\n [7, 6, 3, 7, -6],\n [-2, 6, 5, -3, -2]]\nB =\n[[7, 1, 0],\n [3, -1, -4],\n [3, 7, -7],\n [-1, -2, 8],\n [5, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "335", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, -3, 2],\n [8, 0, 7],\n [-4, -8, 1],\n [-4, -6, 7],\n [-5, -6, 6]]\nB =\n[[-7, 4, -7, -8],\n [-8, 8, -3, 0],\n [-7, 3, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "999", "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, 0, -2, -5, 5],\n [-5, 6, -3, 1, 8],\n [6, 7, 4, -4, 3]]\nB =\n[[-8, 1, -6],\n [3, -3, 4],\n [3, 4, 1],\n [2, 0, 7],\n [8, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[5, -2, 4, 1, 0],\n [-3, 8, -3, 6, 8],\n [-1, -7, 0, 0, -7],\n [4, -4, -3, 6, -6]]\nB =\n[[-2, -3, 6, 0],\n [-8, -2, 2, -6],\n [3, 2, 4, -3],\n [7, 2, -5, 0],\n [-7, -3, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, 6, 3, 8, 2],\n [-3, -4, -2, 5, -1],\n [-8, -6, -3, 7, -8],\n [4, -2, 4, -3, 6]]\nB =\n[[7, -1, -6, 2],\n [4, -7, 6, -7],\n [1, -8, 5, 6],\n [6, 0, 2, 3],\n [-1, 1, 0, -7]]\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 product of the following matrices:\nA =\n[[-1, -7, 1],\n [-5, -4, -3],\n [7, 2, 5],\n [4, -5, -7],\n [2, 4, 7]]\nB =\n[[-1, -8, -4, 2],\n [5, 2, 3, 6],\n [7, 3, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-3, -7, 2],\n [6, 8, -2],\n [0, 5, -6],\n [2, 1, -3],\n [8, 1, -3]]\nB =\n[[-5, 5, 6],\n [0, 7, 5],\n [-1, -8, -5]]\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 product of the following matrices:\nA =\n[[6, -3, -6],\n [-3, -6, 2],\n [5, -4, -4],\n [-7, 1, -6]]\nB =\n[[0, -7, -5, -3],\n [-8, 3, 1, -2],\n [-7, 3, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "519", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -4, -2, -2],\n [6, -2, 6, -2],\n [1, 5, -1, -5],\n [2, 7, 8, 4]]\nB =\n[[8, -5, 2, 8, 5],\n [3, 5, 5, -3, 0],\n [6, 7, 6, -5, -6],\n [4, 0, 4, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-6, -6, -6, -1, -7],\n [-1, -2, 7, -1, 2],\n [-8, -5, 1, 0, -4]]\nB =\n[[3, 3, 2],\n [2, 1, 3],\n [-3, 8, -3],\n [-3, 4, -2],\n [4, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 5, 2, 6, 2],\n [2, -6, -7, 8, -8],\n [7, -6, 6, 3, 2],\n [0, 1, -5, -1, 8]]\nB =\n[[6, 6, 0, 6],\n [8, 1, -6, 3],\n [-2, -4, -1, 4],\n [8, -4, 7, 5],\n [-8, 2, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 4, 5, 6, -4],\n [3, 0, 2, -1, -1],\n [3, -5, -3, 8, -5],\n [8, -5, 2, 3, -4]]\nB =\n[[-5, 8, 5, 4],\n [2, 4, 5, 1],\n [5, -3, 3, 5],\n [-4, -4, 1, 7],\n [4, 5, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "734", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 8, 5, -4],\n [-7, 8, 5, 8],\n [0, 5, -6, -1],\n [-2, 1, 0, -7],\n [5, -8, 0, -2]]\nB =\n[[3, -6, -1, -3, -1],\n [1, -4, 7, 0, -8],\n [3, 1, 7, 4, 3],\n [0, -4, -4, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "778", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -4, 7],\n [-7, 3, 2],\n [8, 0, 0]]\nB =\n[[6, 6, -3, 7],\n [6, -5, 7, 8],\n [-6, -5, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -5, -3],\n [-7, -5, -4],\n [5, 0, 0],\n [3, -1, 3]]\nB =\n[[3, 4, -1, 1, 3],\n [1, 5, 8, 4, -4],\n [5, -3, 6, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-234", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 7, 2, -2, -5],\n [-1, -7, 0, -1, -1],\n [0, 6, -8, -8, 2],\n [8, 3, -2, -1, 7],\n [-3, 7, -3, -8, -3]]\nB =\n[[-8, -3, 3, 4],\n [-3, -8, -6, -4],\n [1, 2, 8, 7],\n [0, -1, 5, -7],\n [3, -3, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-470", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -5, -6],\n [-4, -2, -8],\n [7, -8, 0],\n [-4, 1, -7]]\nB =\n[[-5, 4, -2],\n [0, 6, 5],\n [-8, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "293", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -8, 8],\n [8, -5, 3],\n [-8, -5, 8]]\nB =\n[[3, -3, -7, 4],\n [-6, -2, 4, -1],\n [-5, 8, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -1, 5],\n [-4, 6, 0],\n [6, 3, -1],\n [3, -7, -2]]\nB =\n[[-8, -3, 5],\n [5, 3, -7],\n [4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -1, 5],\n [4, -7, 0],\n [8, 1, 0]]\nB =\n[[-7, -4, -2],\n [5, 1, -6],\n [-5, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "363", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 1, 5],\n [3, -6, 3],\n [-3, 0, -3],\n [8, -4, -5]]\nB =\n[[1, 5, 7],\n [7, 1, 4],\n [5, 8, -7]]\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 product of the following matrices:\nA =\n[[-2, 3, -7, -5, 7],\n [-2, -4, -5, 2, -5],\n [-7, -6, -3, -7, 5]]\nB =\n[[-8, -7, 2, 6],\n [-1, -1, -4, 3],\n [1, 6, 0, 0],\n [6, 8, 2, -1],\n [8, 1, 0, -7]]\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 product of the following matrices:\nA =\n[[1, 5, -6, 5, -7],\n [8, 1, -8, 2, -8],\n [5, -2, 7, 1, -2],\n [2, -7, 7, -6, -7]]\nB =\n[[-3, -8, 5, 3, 6],\n [5, 0, 0, -2, -2],\n [-8, -6, -3, 4, 8],\n [1, 4, 4, -8, -1],\n [-1, 4, -4, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -4, -7],\n [1, -1, 3],\n [-4, -4, 8],\n [0, -8, 6]]\nB =\n[[5, -2, -6],\n [-6, -3, 2],\n [-3, -7, -2]]\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, 3) of the result:\nA =\n[[-5, 2, -2],\n [3, 6, -2],\n [-7, -1, 4],\n [0, 7, -4]]\nB =\n[[-4, -2, -1],\n [-6, 8, 6],\n [2, 0, -6]]\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 product of the following matrices:\nA =\n[[1, 8, 7, -8, 1],\n [1, 0, -6, 2, -2],\n [0, -2, -7, -7, -1],\n [1, -1, -3, -4, 7]]\nB =\n[[8, 7, -6, 2, -6],\n [-7, 7, -3, -3, 8],\n [-8, 0, -3, -4, 8],\n [0, -1, -8, 2, 3],\n [-4, 1, -7, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "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, -8, 2, -3],\n [5, -6, 8, -3],\n [6, -3, 8, -2],\n [-3, -3, 5, 4]]\nB =\n[[-3, 6, 4, -8, 2],\n [-6, -1, 2, -2, 4],\n [3, -3, -5, 3, 4],\n [7, -4, 6, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -2, -1],\n [1, 6, 6],\n [4, -2, -4]]\nB =\n[[4, -3, 2, 8, 2],\n [7, 1, 8, -5, -5],\n [-7, 1, 7, -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 (4, 1) of the product of the following matrices:\nA =\n[[-3, 3, 8],\n [-2, -3, -4],\n [8, -7, -3],\n [1, -4, -2],\n [2, -8, 5]]\nB =\n[[0, 4, 0, -7],\n [7, -2, -3, -2],\n [-8, 7, 5, 5]]\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 product of the following matrices:\nA =\n[[-1, -2, -4, 6],\n [-1, 1, 1, -1],\n [5, 7, 5, -2]]\nB =\n[[2, 7, -6, -2],\n [-7, -8, 7, -6],\n [1, -4, -3, -4],\n [-7, 8, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "313", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-8, -2, -1, 3, -4],\n [-5, -5, 4, -1, -8],\n [3, -8, -6, 4, -5],\n [7, -5, -1, 8, -2]]\nB =\n[[5, 1, -4, 8, -2],\n [-2, 6, 0, -3, -5],\n [6, -8, 7, 2, -7],\n [-2, 2, 2, 5, 7],\n [-5, -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 sum of all entries of the product matrix AB given:\nA =\n[[-7, -6, 8],\n [-7, 0, -2],\n [-8, 1, 8],\n [-8, -3, 8]]\nB =\n[[0, 2, 4, 8, 8],\n [1, 4, 5, -6, -7],\n [-7, -5, 8, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-592", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 8, 3],\n [-5, 4, 2],\n [-7, 7, 7]]\nB =\n[[5, -2, 0],\n [3, 3, -3],\n [-7, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "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, -7],\n [8, 8, 4],\n [-1, 1, 3]]\nB =\n[[5, -1, 4],\n [-5, -2, -7],\n [-4, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-5, 7, -1, -2],\n [0, -1, -7, 1],\n [-8, -7, 8, 0]]\nB =\n[[0, -3, -6],\n [-1, -8, -8],\n [-7, 3, 1],\n [2, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -4, -6, 0],\n [6, -8, 3, -5],\n [-5, 1, -4, -1],\n [2, 0, -4, 4]]\nB =\n[[-6, -5, -7],\n [6, 7, 1],\n [3, -4, -3],\n [-2, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, -3, 0, -8],\n [-4, 3, -2, 3, 8],\n [3, -2, -1, -8, 5],\n [5, -8, 7, 5, 7]]\nB =\n[[-4, -2, -5, 3],\n [8, -7, -5, -1],\n [1, -4, -3, 1],\n [-8, 8, -5, 7],\n [3, 1, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 8, 3, 5, 2],\n [5, -8, 4, -4, 7],\n [0, 5, 5, -2, 5],\n [4, 5, 4, 5, 6],\n [-1, 8, -3, 6, -1]]\nB =\n[[-8, -1, 5, -1],\n [6, -3, 5, -7],\n [-6, 5, 7, 5],\n [0, 6, 1, -8],\n [3, 7, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1040", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 7, -5, 8, 3],\n [7, -6, 1, 2, -1],\n [5, -2, 5, -8, 4],\n [-7, 1, -7, 3, -2],\n [-7, -3, 7, 3, 2]]\nB =\n[[-5, -3, -7, 6],\n [1, 0, 1, 4],\n [-5, -4, -5, 1],\n [1, 3, 4, -7],\n [-1, -6, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1114", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[0, 0, -4, -5, -4],\n [5, -3, 4, 0, -4],\n [-2, 0, -7, -6, -4],\n [4, 0, -7, -2, 7]]\nB =\n[[-4, 6, -5, -7, 6],\n [-6, -4, -6, 3, -7],\n [4, -1, 7, 4, 6],\n [8, -4, 1, -8, 0],\n [-8, 8, 3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-116", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[2, 0, -8],\n [1, -8, -2],\n [-2, -8, -2],\n [6, 0, -4]]\nB =\n[[-7, 8, -5, -5],\n [7, 3, -7, -7],\n [-1, 2, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, 8, -8, -8],\n [7, -1, 0, -3],\n [3, -6, -6, 3],\n [-4, -5, -2, 5],\n [-2, 6, -3, -4]]\nB =\n[[8, -6, -7, 3, -8],\n [-1, 4, 5, 7, 2],\n [0, -2, -6, 3, 8],\n [8, 3, -2, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -4, 4, 6],\n [2, -8, -6, -3],\n [8, -8, 6, -3],\n [4, -1, -2, 0]]\nB =\n[[-1, 0, 8, 4],\n [1, -8, -7, 0],\n [-3, -2, 0, 1],\n [-8, 4, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "374", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-8, -2, -3],\n [8, -2, -5],\n [4, 6, 7],\n [4, 3, 8]]\nB =\n[[-2, 2, 2, -1],\n [-8, 6, -8, -7],\n [6, 6, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -4, -3, -6],\n [-2, 0, -6, 5],\n [-7, 2, -3, -6],\n [0, -3, 2, 2]]\nB =\n[[-4, 2, 6],\n [3, 5, 4],\n [2, -8, 7],\n [6, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-211", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, -1, -7],\n [2, -8, 5],\n [4, -2, -2],\n [-4, -8, 0],\n [-5, 7, 4]]\nB =\n[[3, 8, -1, 6, 2],\n [-3, -4, 8, 4, -1],\n [3, -5, -3, -8, 5]]\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 (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[0, -2, 6, 2],\n [5, -5, -3, 4],\n [-6, 6, -2, 8],\n [-8, 1, 7, -4]]\nB =\n[[6, 1, 5, 3],\n [1, -7, -5, -8],\n [-1, -6, -7, 5],\n [7, -2, 6, 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 when matrix A is multiplied by matrix B?\nA =\n[[-7, -6, 4, 1, 3],\n [7, -4, 2, 2, 4],\n [0, -1, 3, 5, -1],\n [0, -2, 3, -8, -3]]\nB =\n[[-2, 1, -1],\n [-4, 0, -7],\n [-2, 3, -4],\n [5, -8, -2],\n [4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "361", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, -5, 0],\n [-4, 7, -5],\n [6, 4, 3]]\nB =\n[[-4, 8, -7],\n [5, -6, -3],\n [1, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, 8, 6, 4],\n [3, 4, 5, -5],\n [1, -4, -4, 8],\n [-5, 6, 3, -6]]\nB =\n[[-2, -1, -5, 2],\n [-3, -6, -5, -3],\n [-2, -3, 0, 1],\n [4, 3, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, 0, 0, 4, 5],\n [0, -1, 4, 2, -2],\n [2, -8, -6, -7, -6]]\nB =\n[[7, 6, -1],\n [7, -2, -2],\n [-4, 1, 4],\n [1, -5, -3],\n [-3, -4, 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 when matrix A is multiplied by matrix B?\nA =\n[[3, 5, -5, 3, -8],\n [-2, 2, 2, 2, -4],\n [0, 3, 8, -5, 4],\n [-1, -6, 3, 4, -5],\n [-8, 1, 0, 5, 8]]\nB =\n[[1, 1, -1, 0],\n [4, -6, -3, -5],\n [6, -3, 3, -6],\n [0, 2, -7, 1],\n [-8, 2, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 4, -1, 4, -4],\n [-4, 6, 0, -8, -3],\n [-7, 5, -5, 3, -6],\n [-7, 7, -1, 5, -3],\n [3, 8, 0, -8, 3]]\nB =\n[[6, 1, -2, 2],\n [5, 7, 1, -7],\n [4, 6, -8, -1],\n [-2, 2, -4, -7],\n [3, 7, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "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, -6, 7, 4, 0],\n [-3, 1, -5, -8, 8],\n [-7, -6, 1, 4, -7],\n [-1, -3, 3, 2, 6]]\nB =\n[[8, 6, -2, 7, 0],\n [-2, 4, -7, 7, -7],\n [-5, 8, 0, -4, -1],\n [1, 2, -8, 1, -4],\n [-1, 3, -3, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "664", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 2, -1],\n [3, 0, 7],\n [-5, -5, 8],\n [-4, 7, 3]]\nB =\n[[7, -8, -8],\n [-6, 6, 2],\n [0, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "418", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -3, 2, -8],\n [-4, 5, -3, 2],\n [4, -6, 7, 4],\n [-2, 5, -7, 4]]\nB =\n[[7, -3, -2],\n [-6, -5, 1],\n [-7, -7, 5],\n [0, -6, -1]]\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[[-7, -6, 7, -4, 7],\n [6, -6, 2, -6, 0],\n [-2, 8, -5, -5, 8],\n [0, 6, 0, -5, -7],\n [-7, -1, -6, 3, 2]]\nB =\n[[4, -1, -1, -1],\n [8, 4, -4, 7],\n [1, 6, -1, -8],\n [4, -4, -2, 8],\n [1, -3, -3, -5]]\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 product of the following matrices:\nA =\n[[1, -7, 3, 7],\n [1, 2, 7, -4],\n [5, 2, 4, 0]]\nB =\n[[-3, 2, -7, -5],\n [7, -3, -3, -1],\n [-8, 0, -2, 3],\n [-8, 5, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -6, 5, 2],\n [6, 0, -2, 3],\n [1, -1, 3, -8],\n [-8, 1, -6, 0],\n [6, 0, -3, 4]]\nB =\n[[2, -2, -5, -3],\n [5, 2, 5, 7],\n [-1, -7, -1, 5],\n [-4, -5, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 3, -5, -1],\n [1, 2, 6, 7],\n [0, -3, -2, -7],\n [-6, 5, -2, -7]]\nB =\n[[-2, -4, 3, 0, -1],\n [0, -4, -3, -4, 1],\n [4, 6, -3, 3, 5],\n [1, 0, 5, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 8, -5, -8, -8],\n [2, 7, -7, -6, -3],\n [1, -8, 4, 3, -2]]\nB =\n[[-8, 4, 0, -7, -3],\n [6, 5, 2, 6, 7],\n [-5, 4, -7, 1, 6],\n [-8, 4, -7, 3, 6],\n [3, -5, -4, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -4, 4, -2, 0],\n [-5, -3, 8, -3, 7],\n [0, -2, 6, 6, -5],\n [2, 1, -4, 8, -4]]\nB =\n[[-3, 6, 7],\n [2, 6, 0],\n [-1, 0, 8],\n [3, -8, 8],\n [-6, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "101", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, -8, -1, -2, 4],\n [-8, 0, -2, 0, 3],\n [-2, -2, -5, -5, 4]]\nB =\n[[8, -3, 8],\n [7, -2, -6],\n [5, 0, -7],\n [8, 8, -5],\n [-2, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[-3, 8, -7, 1],\n [1, -8, -3, 2],\n [-8, 4, 1, 8]]\nB =\n[[2, 0, 1, -6],\n [-6, -8, -6, -7],\n [8, 0, 0, 4],\n [-3, -1, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 6, 4, 7],\n [-4, 5, -5, 7],\n [7, 3, 0, -4],\n [2, -2, 3, 8]]\nB =\n[[3, -5, -5, 0],\n [-2, -5, -6, 8],\n [-7, 4, 4, 0],\n [8, 4, -1, -5]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-2, 7, -5, -1],\n [0, -3, -7, -3],\n [8, 0, 4, -8]]\nB =\n[[8, 5, 6, -1],\n [-7, 0, 0, 6],\n [8, 2, -8, -5],\n [-7, -6, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "612", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -5, 2, 2],\n [1, -4, 2, 3],\n [4, -4, -4, -8],\n [-2, -4, -1, -2],\n [7, 0, 7, -5]]\nB =\n[[-6, -8, 0],\n [-4, 2, -8],\n [2, 4, -3],\n [-5, 2, 4]]\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 product of the following matrices:\nA =\n[[1, 2, 4, -5],\n [4, 6, -7, -2],\n [-1, 8, 5, -6]]\nB =\n[[3, -8, -8],\n [1, 4, -1],\n [7, 1, -4],\n [-5, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "409", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[3, 0, 8],\n [6, 0, 3],\n [4, -6, 4],\n [-7, -7, 5]]\nB =\n[[-1, 4, 4],\n [7, -7, -3],\n [-2, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -4, -2],\n [5, -1, -4],\n [8, -5, -6],\n [7, -3, -2],\n [2, -7, 1]]\nB =\n[[7, -6, -3, 3],\n [6, -3, -2, -4],\n [-1, -4, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -2, -2, -6, 5],\n [-2, -6, -5, 5, 8],\n [-7, -3, 6, 7, -7]]\nB =\n[[8, 2, -2],\n [8, 4, -8],\n [-7, 4, 1],\n [0, -4, -2],\n [-1, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "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, 0, 6, 5, -8],\n [-6, -5, -5, 4, -8],\n [1, 4, 6, -2, 6],\n [4, 2, -7, -1, 1],\n [5, 1, 2, 4, -5]]\nB =\n[[3, 6, 3, 2],\n [-6, -5, -7, 6],\n [-3, 6, 6, 5],\n [0, -3, 8, -3],\n [-7, 8, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1136", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -8, 0, 1],\n [2, 7, -1, 7],\n [8, -3, -2, -7],\n [-7, -3, -3, 1]]\nB =\n[[1, 1, -2, 2],\n [5, 6, -5, 5],\n [8, 5, 4, -6],\n [-5, -5, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "525", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -6, 1, 0, -5],\n [-7, -8, 5, 1, 6],\n [-4, -7, -7, -2, -7]]\nB =\n[[-8, 3, 2, -6],\n [1, 4, -5, 8],\n [-3, 2, 1, 5],\n [-3, 6, 5, 6],\n [2, -5, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "447", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-2, -6, -7, 1],\n [3, -4, -4, 2],\n [8, -7, 5, 5],\n [6, 4, -1, 5],\n [-3, 6, -7, 1]]\nB =\n[[6, -1, 1, 5, 1],\n [7, 7, 1, -2, -1],\n [-8, -8, 5, -5, 1],\n [-1, 1, -7, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[8, -3, -2, -6],\n [-7, 2, 6, -8],\n [1, 3, -2, -2],\n [-3, 0, 3, 0]]\nB =\n[[-1, 5, -5, 8],\n [7, -3, 5, -2],\n [6, 7, 1, -6],\n [-6, -8, 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 when matrix A is multiplied by matrix B?\nA =\n[[5, -6, -7, 1, 4],\n [8, -8, 4, 1, -2],\n [-7, -1, 2, -1, 5],\n [-5, -5, -6, 8, -5],\n [-4, -2, 0, -4, -1]]\nB =\n[[-3, -8, 4],\n [6, -5, 3],\n [-6, -7, 7],\n [0, 1, -3],\n [4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-2, -8, -6, -6, -2],\n [-2, 8, -6, -7, -1],\n [-3, 5, 6, 4, -3],\n [-7, -6, 6, 8, 0]]\nB =\n[[0, -2, 4, -6],\n [1, -1, -5, -3],\n [5, -8, 2, -4],\n [5, 2, 7, 0],\n [-3, 1, 1, -8]]\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) when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, 1, -6, 0],\n [-6, 6, -5, 2, 7],\n [7, 0, 8, 4, 8],\n [-6, 2, 2, 1, -1],\n [7, -5, -1, 0, 6]]\nB =\n[[-5, -7, -4, 8],\n [2, 3, -2, 6],\n [-3, -5, -3, 3],\n [7, -3, 0, 4],\n [5, -8, -1, 2]]\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[[-7, -8, 6],\n [2, -6, 8],\n [-3, -1, -5]]\nB =\n[[-5, 7, -6, -7, -2],\n [0, 2, -3, 5, 2],\n [-1, 8, -8, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "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, 6, -2, 6, 1],\n [-3, 6, 1, -3, 8],\n [-8, 5, -8, 5, 3],\n [-1, -3, -7, 7, -2]]\nB =\n[[-5, 5, 6],\n [5, -6, -5],\n [-5, 3, 0],\n [7, -5, -2],\n [-8, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "912", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 2, -1, -1],\n [-2, 3, -4, 6],\n [-3, 2, -8, -5],\n [-3, 3, 7, -8],\n [0, 0, 7, 2]]\nB =\n[[-5, 0, 2, -1],\n [4, -3, 1, 3],\n [4, 6, -8, 6],\n [8, -4, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -6, -5],\n [2, 7, -5],\n [-2, 3, 5],\n [-4, -6, 6],\n [-1, -6, -8]]\nB =\n[[-7, 3, 8, 5, 7],\n [-2, 2, -6, 5, 4],\n [0, 1, -5, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[0, 4, 4],\n [2, -2, 1],\n [7, 1, 6],\n [-4, 3, 2],\n [-1, -7, -7]]\nB =\n[[2, -8, 4, 8],\n [-6, 6, -7, -5],\n [0, -1, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, 6, -3],\n [-7, 1, -7],\n [-5, 7, 1],\n [-3, -5, -7]]\nB =\n[[-6, -1, -4, 4],\n [-4, 8, -4, 8],\n [2, -3, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -1, 0],\n [1, 0, 4],\n [-4, -8, 3],\n [-7, 1, 1]]\nB =\n[[-4, 7, 1, 1, -7],\n [-5, 6, 8, -1, 8],\n [5, -1, -8, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -1, 0, 7],\n [0, 8, -8, 0],\n [-8, -1, 5, 5],\n [-3, 2, -3, 6],\n [8, 2, 7, 4]]\nB =\n[[0, -2, 8],\n [-8, -4, -8],\n [7, -6, 3],\n [4, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 8, -6, -7],\n [-4, 3, -4, 8],\n [4, 3, -2, -7],\n [-3, 0, 0, 7]]\nB =\n[[6, -5, 0],\n [-7, -1, -3],\n [4, 5, -1],\n [4, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-248", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 5, 0, -1],\n [2, 0, 1, 5],\n [4, -7, 1, 6],\n [8, -5, 7, -1],\n [7, -5, 7, -4]]\nB =\n[[-4, 6, -1, 4],\n [1, 7, 4, -2],\n [7, -3, 6, -4],\n [-2, -4, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[0, 8, 2],\n [5, -3, 6],\n [7, -1, 7],\n [-4, -3, 6],\n [1, 8, -1]]\nB =\n[[4, 2, -4, -7, 1],\n [7, -2, 4, -3, 5],\n [-6, 5, 8, 2, -7]]\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 product of the following matrices:\nA =\n[[8, -2, 0, 2],\n [0, -3, 8, 4],\n [-8, -8, -2, -5],\n [-2, 3, 8, -6],\n [7, 1, -4, 6]]\nB =\n[[-8, -7, 2],\n [7, -6, 8],\n [5, -1, -5],\n [0, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-1, -2, -6, 5, 1],\n [0, 7, -3, 6, 3],\n [-7, 1, -7, -4, -4]]\nB =\n[[-8, -1, -7, -7],\n [4, 5, 1, -4],\n [-4, 1, -1, -3],\n [-6, 1, 4, -7],\n [-2, 5, 2, 5]]\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, 4) of the product of the following matrices:\nA =\n[[-2, -1, -6, 2],\n [-6, -8, 8, -2],\n [8, -6, 8, -3]]\nB =\n[[-1, -4, -5, -7],\n [0, 6, -4, 4],\n [-8, -3, -6, 5],\n [5, -8, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-4, -3, -6, 5, 4],\n [-5, -5, 1, -7, 8],\n [5, -5, 3, 8, 7],\n [7, 1, 7, 6, -4],\n [2, 8, 0, 0, 8]]\nB =\n[[6, 6, -3],\n [-5, 2, 4],\n [-7, 7, 1],\n [4, -7, 0],\n [-8, -3, -3]]\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) when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, 2, 7, 8],\n [0, 6, -2, -6, -3],\n [1, 5, 8, 7, 1],\n [0, -4, 2, 3, -7],\n [0, -5, 5, -3, -7]]\nB =\n[[-1, -5, 8],\n [-3, 6, 4],\n [-1, -3, -7],\n [-1, -6, -7],\n [6, -1, 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 when matrix A is multiplied by matrix B?\nA =\n[[-8, 4, 3, 0],\n [7, -2, -4, 1],\n [-1, 6, -7, -7]]\nB =\n[[3, 0, -1, 5],\n [-2, -2, -5, -8],\n [-8, 4, -5, 3],\n [-4, 2, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "434", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 7, 7, 0],\n [-8, -6, 1, 7],\n [0, -3, -2, 8],\n [-2, 1, -2, -8],\n [-2, -4, 2, 7]]\nB =\n[[7, -3, 8],\n [-7, -7, -1],\n [3, -3, 5],\n [-1, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-7, 4, -1],\n [0, 2, -4],\n [1, 0, -5],\n [-7, -5, -8]]\nB =\n[[-6, 8, 2, 1],\n [5, -3, -3, 7],\n [5, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -4, 1, -2, 7],\n [-2, 5, -7, 0, -3],\n [-4, 0, 0, 2, 1]]\nB =\n[[2, -2, -2, -8, -3],\n [-2, 8, 4, 6, 1],\n [8, -3, -8, 5, -7],\n [2, -4, 1, 8, 4],\n [7, 4, -6, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 1, 4, 8],\n [-1, -2, 7, 7],\n [7, 4, 4, 6],\n [6, 7, -6, -1]]\nB =\n[[-4, -4, 6, -6, -3],\n [5, 6, 5, 2, -1],\n [3, 0, 1, -4, 2],\n [-2, 1, 7, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[-2, 1, -5, 7],\n [7, -1, -7, -5],\n [8, -7, -4, 4]]\nB =\n[[-5, -4, 3],\n [-6, 8, -5],\n [2, 0, -4],\n [7, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 2, -4],\n [-5, 0, 0],\n [5, -8, 4]]\nB =\n[[3, -2, 6],\n [1, -7, -4],\n [7, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-4, 3, -6, 3, -3],\n [6, -2, 7, 8, -5],\n [-1, 5, -7, 3, -7]]\nB =\n[[-4, 7, 0, 7, 1],\n [-1, 8, -2, -4, -6],\n [-5, 3, 7, 8, -3],\n [-8, 8, 0, -2, -2],\n [1, 0, -2, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -3, 3],\n [-1, 1, 3],\n [-7, -4, 7]]\nB =\n[[1, 4, -5, 4, 6],\n [7, 0, -8, 8, -3],\n [8, -3, 2, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-48", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -4, 2],\n [4, 0, 7],\n [6, -5, 0],\n [7, 3, 4],\n [8, 4, 3]]\nB =\n[[-1, -1, -5],\n [-4, -1, 8],\n [-4, -3, -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 when matrix A is multiplied by matrix B?\nA =\n[[-1, 4, -2, 1],\n [7, -5, -6, 3],\n [-7, 6, 0, 7],\n [-8, -3, 4, 4],\n [-4, 8, -8, -4]]\nB =\n[[5, 2, 5],\n [5, -1, 4],\n [-6, 7, -6],\n [-1, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -1, 7],\n [1, 5, 0],\n [0, -1, 1],\n [-2, 4, -4]]\nB =\n[[8, -3, 2],\n [4, -3, 7],\n [5, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[0, 6, -1, 3],\n [5, 1, 0, 8],\n [4, 1, 3, -2],\n [-1, 8, 8, -4],\n [1, 6, -3, 3]]\nB =\n[[-8, 5, 6, 3, -3],\n [7, 8, -5, 2, -2],\n [5, 7, 4, 1, -3],\n [-5, -2, 7, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[2, -8, 5],\n [6, 5, 2],\n [1, -6, -1],\n [-8, 0, -5],\n [-2, 6, -7]]\nB =\n[[-5, -5, -5, 3, 2],\n [5, -1, 7, -8, -5],\n [-7, 7, 6, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -4, 4, -5, 3],\n [0, 4, 5, 1, 0],\n [8, 1, 3, -4, -5],\n [0, 2, 4, 3, -2],\n [-6, 0, 1, -8, -7]]\nB =\n[[3, -1, -2],\n [-7, 0, 8],\n [7, -1, -8],\n [4, -4, -8],\n [0, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -2, 4],\n [5, 5, 0],\n [-1, -8, 8],\n [7, -1, 0],\n [3, -8, -3]]\nB =\n[[7, 5, 0],\n [-2, 4, -6],\n [4, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[4, 8, -7, 3],\n [-1, 6, 2, 2],\n [5, 7, 7, -5]]\nB =\n[[-3, -5, -8],\n [-6, 5, -1],\n [4, 3, 7],\n [0, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -1, -1, -7],\n [8, 5, -7, -7],\n [-4, -2, 3, -4]]\nB =\n[[-6, 0, 0],\n [-2, 1, -5],\n [2, -6, -6],\n [-8, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "386", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 8, 2, -5],\n [-6, 6, 6, 4],\n [-5, -2, -6, 8],\n [4, 2, 0, 3]]\nB =\n[[-6, -4, 3, -3],\n [1, -2, -7, -1],\n [-3, 8, 2, 8],\n [-7, -4, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-266", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[3, -4, 4],\n [3, -8, -4],\n [6, 8, -4],\n [-7, -6, 5],\n [6, -7, -8]]\nB =\n[[-1, -7, 1, 6, -6],\n [7, -6, 2, -3, -6],\n [2, -1, 0, -1, -7]]\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 product of the following matrices:\nA =\n[[-3, 8, 2, 4, 4],\n [-8, -5, 6, -4, 4],\n [-5, 6, -7, 2, 6]]\nB =\n[[-8, -6, 5],\n [-8, -4, -5],\n [-1, -7, 6],\n [-6, -6, 1],\n [6, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-3, -6, -8, -7],\n [6, -6, 8, -4],\n [3, -7, -6, -6],\n [-5, 2, -1, 7]]\nB =\n[[-3, -7, 5, -2],\n [8, -1, 6, 5],\n [-8, 0, 1, 1],\n [3, -1, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-3, -7, 3, -4],\n [-5, 5, 8, -5],\n [8, 6, 6, 0],\n [7, 5, -4, 3]]\nB =\n[[-7, 7, 3, -2],\n [-1, -6, 8, -6],\n [-4, 1, 0, 3],\n [-2, 6, 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 all entries of the product matrix AB given:\nA =\n[[-3, 7, 7, -4],\n [4, 5, -6, -4],\n [-5, 6, -5, -1],\n [0, -1, -1, -8],\n [2, 8, -6, -2]]\nB =\n[[7, 5, 7],\n [1, 4, 8],\n [-3, 4, 8],\n [-7, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 3, 7, -2],\n [5, -4, 0, 5],\n [-1, 3, 4, -8],\n [-5, -7, 3, -5],\n [4, -4, -2, 0]]\nB =\n[[-1, 0, 3, 7],\n [1, -5, 8, 0],\n [8, -2, -4, -8],\n [-8, -7, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 8, 7, -6],\n [8, -4, 3, -1],\n [5, 7, 2, -4]]\nB =\n[[-5, -6, 5, -3, -3],\n [-7, 1, 8, 6, -7],\n [-6, -4, 7, 3, 4],\n [-3, 1, 2, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "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, -5, 2, -3, 0],\n [-6, 4, 3, 0, -5],\n [8, -6, -4, 7, 0],\n [-3, -1, -5, 6, -5],\n [-8, 7, -5, 4, -5]]\nB =\n[[-4, -7, -2, 2, -3],\n [4, -4, 8, 7, -3],\n [-3, 0, 5, -6, -3],\n [0, 3, 7, 0, -5],\n [-7, -8, -7, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1197", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 2, 8],\n [1, 6, -3],\n [-4, -2, -5],\n [5, 0, -5],\n [0, -3, -8]]\nB =\n[[0, -2, -4, -8, -7],\n [-7, -3, 6, -6, 4],\n [-2, 1, 0, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 5, -1],\n [8, 0, -2],\n [2, -2, 1],\n [8, 3, 0]]\nB =\n[[-3, -1, -4],\n [-1, -7, -8],\n [-1, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-188", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -8, 0, -4],\n [2, -7, -4, 8],\n [-6, -3, 2, -7],\n [0, 8, -5, 7],\n [-4, 1, 2, -8]]\nB =\n[[6, -3, 8],\n [1, -8, 5],\n [3, -5, 3],\n [8, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 3, -7, -1],\n [-8, 6, 2, 5],\n [7, 2, -2, -3],\n [2, -1, -1, -3],\n [1, -5, 2, 4]]\nB =\n[[6, 6, 0, -6, 5],\n [6, -1, -3, -4, -8],\n [-7, 5, -4, -1, 3],\n [2, -7, -5, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "866", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -4, 1],\n [5, 0, -4],\n [-8, 7, 8],\n [-4, -1, 3],\n [2, -5, -2]]\nB =\n[[7, -4, 3],\n [0, 6, -7],\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 all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -8, -5],\n [-3, 7, 0],\n [-2, 2, -4]]\nB =\n[[-1, 7, -8, -4],\n [0, -6, -7, 2],\n [-5, 3, 4, -8]]\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 when matrix A is multiplied by matrix B?\nA =\n[[4, 8, -4, 3],\n [-8, -5, -4, -8],\n [1, 8, -5, -3],\n [4, -1, 4, -4],\n [1, -3, 1, -1]]\nB =\n[[6, -3, -8, 2],\n [7, 1, 1, -8],\n [8, -1, 3, -2],\n [-3, 8, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 6, 0, 0, 8],\n [-1, -7, 4, -1, 1],\n [0, 3, -5, -7, 2],\n [5, 1, 4, -2, -5],\n [-4, -8, -1, 8, -5]]\nB =\n[[1, 0, 5],\n [0, 7, 7],\n [-7, -4, -7],\n [0, 0, 8],\n [4, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "581", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 3, -6, 1],\n [8, -7, -1, -5],\n [1, -1, -2, 3],\n [0, -6, 2, -7],\n [-7, 3, -7, 7]]\nB =\n[[-4, 6, 6, -6],\n [-4, 4, 7, 5],\n [7, -3, 4, 6],\n [-3, 1, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-300", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 4, 5],\n [-8, -8, -5],\n [-8, 5, -2],\n [5, -3, 3]]\nB =\n[[4, -8, 0],\n [-5, 2, -4],\n [-1, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "367", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -6, -2, 7],\n [-2, 4, 5, -4],\n [0, -1, 2, -2]]\nB =\n[[6, -8, -1, 3, 3],\n [7, 1, 3, -6, 7],\n [-1, -7, 4, -4, -6],\n [-1, 2, 3, -7, 3]]\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 when matrix A is multiplied by matrix B?\nA =\n[[1, -2, 1, 6, -7],\n [2, -1, 3, -2, 4],\n [-3, -2, -7, 2, 2],\n [2, 6, 3, 1, 0],\n [3, 7, 2, 2, 8]]\nB =\n[[0, -6, 7, 8],\n [1, -6, 3, -1],\n [-5, -3, -5, 2],\n [-1, 1, -7, 4],\n [-1, -7, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "743", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[7, 7, 1, 0, -8],\n [-2, -5, -6, 4, 4],\n [-4, 8, 2, -2, 7],\n [3, 3, 7, -2, -8]]\nB =\n[[7, 6, -1, -7, 0],\n [-1, 2, 7, 6, 5],\n [0, 2, 3, 8, -4],\n [-7, 4, 7, 6, -1],\n [-1, -8, 3, 8, -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 when matrix A is multiplied by matrix B?\nA =\n[[4, -8, 7, 3, -8],\n [-6, 0, 8, 1, 5],\n [0, 0, 6, 5, 2],\n [1, -2, -5, -6, 0]]\nB =\n[[-5, 4, 0],\n [-3, -7, -7],\n [-6, 1, -5],\n [-7, -5, -5],\n [6, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-45", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -3, -7, 0, 1],\n [-4, 7, -4, 7, 7],\n [2, -6, 8, -7, 4]]\nB =\n[[-2, -2, 8],\n [-7, 4, -8],\n [-2, 5, -8],\n [-8, -3, -6],\n [7, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 4, -2, 1],\n [4, 3, 4, 5],\n [4, -7, 7, -7],\n [2, -5, -7, 6],\n [0, -7, 1, 4]]\nB =\n[[7, -5, -3, -4],\n [-7, 6, 7, -8],\n [-2, 6, 1, 7],\n [-1, 4, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[8, 0, -4],\n [-3, 1, -5],\n [4, -2, -8],\n [-5, 6, -3],\n [-7, 7, -6]]\nB =\n[[-2, 3, -8, 7],\n [3, 1, -8, -6],\n [4, 6, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, 0, 6, -4, -1],\n [-7, 4, 8, -5, -2],\n [0, 3, 1, -3, -8],\n [7, -2, -2, -6, -8],\n [-8, -5, -6, -6, 0]]\nB =\n[[-1, -1, 8, 7, -5],\n [5, 5, -3, -2, 5],\n [3, -5, -1, 7, 0],\n [-4, 0, 1, -6, 3],\n [-5, -5, -6, -3, -5]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-5, -7, 6, 2, 3],\n [2, 1, -2, 8, -2],\n [-5, -7, 8, 4, 6],\n [-6, -3, -6, -4, 2]]\nB =\n[[-7, 4, 6, 5],\n [-6, -8, 5, -1],\n [-3, -3, 6, -2],\n [3, -4, 4, 1],\n [8, 5, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 0, 6],\n [-1, 6, 7],\n [-6, -4, -5],\n [1, 2, -2]]\nB =\n[[-2, 6, -3],\n [-1, 8, -8],\n [-3, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 4, 6, 0],\n [-6, -4, -7, 3],\n [1, 8, -4, 1],\n [-8, 8, 4, -7],\n [-3, -5, 3, -5]]\nB =\n[[-8, -2, 7, 7, 6],\n [6, 1, 7, 7, 3],\n [-5, -4, 7, -4, 2],\n [-3, -4, 5, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "202", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 3, 1, 5, -6],\n [-4, 8, 3, -6, -4],\n [-6, 1, 5, 1, -6],\n [-4, 0, -5, 4, -2]]\nB =\n[[-4, 5, 8],\n [-4, -2, 8],\n [-5, 5, -2],\n [-7, 3, 3],\n [-3, 3, -6]]\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 product of the following matrices:\nA =\n[[-7, -6, -8, 1],\n [8, -6, 4, -2],\n [1, -5, 0, 2],\n [-2, 4, 0, -8],\n [-2, 3, -7, 2]]\nB =\n[[-2, -7, -3],\n [7, -8, -6],\n [4, 4, 3],\n [-7, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "573", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -4, 3],\n [1, 4, -4],\n [-8, -2, 0]]\nB =\n[[-6, -6, -2, 1, 2],\n [3, -4, 8, 3, 2],\n [5, -2, -7, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "365", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -3, -4, -7],\n [7, -8, 6, -2],\n [1, 7, -5, 4],\n [-3, 2, 0, 7],\n [7, -3, 0, 6]]\nB =\n[[1, 5, 4, -3],\n [-7, -3, -6, 8],\n [3, -6, 5, -6],\n [7, 3, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "927", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[2, 8, -1, 4],\n [-1, 1, -6, 1],\n [6, -8, -5, -1],\n [7, 0, 6, 4]]\nB =\n[[1, 0, 7, -8],\n [6, -2, 0, 0],\n [8, -2, -3, 6],\n [-1, -2, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[0, -2, -7, 4, 1],\n [6, 0, -2, -4, 2],\n [4, 3, 5, -6, 7]]\nB =\n[[-4, -4, -7],\n [-2, -6, -3],\n [4, -8, 1],\n [3, 2, -7],\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 product AB and find the sum of all entries of the result:\nA =\n[[-4, 7, 2, -7],\n [3, -3, 3, 3],\n [6, 8, 2, 4]]\nB =\n[[-2, -6, -4, -6],\n [3, 8, 1, 8],\n [6, 2, -5, 1],\n [-8, 4, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -3, -6, -3, 1],\n [0, 0, 8, -8, -5],\n [-5, 5, -4, -3, -3],\n [7, -2, -2, 4, 3]]\nB =\n[[7, -2, -5],\n [-1, -2, -6],\n [5, 5, 7],\n [-6, 0, 3],\n [7, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 8, 8, 1],\n [5, 0, 3, 3],\n [8, 1, 8, 0],\n [-2, -6, -3, 3],\n [3, -2, 8, -4]]\nB =\n[[3, 0, 6],\n [-3, -7, 7],\n [8, -4, -1],\n [-1, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "207", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, -7, -4, -4, 5],\n [0, -8, 3, 4, 0],\n [-7, -7, 7, 2, 4],\n [1, -5, 6, -3, 5]]\nB =\n[[-6, -7, 3, -5],\n [-5, 8, -3, -3],\n [-8, -1, -3, -1],\n [0, 4, 2, -7],\n [0, -1, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -2, -7, -3, 4],\n [5, -3, -1, 7, -3],\n [-1, -5, 2, 6, 6],\n [6, -1, 5, 3, 6]]\nB =\n[[-3, -1, 8, 8],\n [4, 7, 4, 6],\n [-5, 5, 2, -7],\n [3, 2, 6, -3],\n [0, 5, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[8, 6, -2],\n [0, -7, 0],\n [-8, 3, -1],\n [-2, -3, 1]]\nB =\n[[2, -1, 6, 3, 5],\n [7, 4, -8, -7, 1],\n [-5, -5, 4, -1, -7]]\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 product of the following matrices:\nA =\n[[4, -2, -1, -6],\n [-7, 3, 6, -6],\n [-5, -1, -6, -4],\n [1, 5, -8, -3]]\nB =\n[[-6, -8, -5, 8],\n [4, -1, 2, 5],\n [-5, -4, 6, -8],\n [2, -3, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "188", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -8, -4],\n [-6, 2, 4],\n [-3, 0, 5],\n [-1, -2, 1],\n [-8, -6, 8]]\nB =\n[[4, -6, 8],\n [4, -8, 8],\n [8, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -3, 8],\n [0, 8, 1],\n [-5, -7, 6]]\nB =\n[[6, 2, 7, 8],\n [-3, 3, -6, 8],\n [-6, -6, -5, 7]]\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 when matrix A is multiplied by matrix B?\nA =\n[[1, -3, -2, 8, -7],\n [-6, 0, -5, 0, -1],\n [8, 1, -3, 6, 7],\n [-5, 0, 3, -6, -5]]\nB =\n[[1, -1, 2, 5],\n [-7, 0, 0, 4],\n [1, -2, 6, 1],\n [3, -2, -4, 7],\n [6, 3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "560", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[3, -1, 7, 1],\n [5, -3, -3, -1],\n [-1, 7, 8, -8],\n [-4, -3, 2, -6]]\nB =\n[[-6, -6, -6, -4, -7],\n [6, 8, 0, -2, 0],\n [-4, -8, -8, -1, 6],\n [3, -8, 4, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -1, 8],\n [3, -3, -4],\n [6, 7, 4]]\nB =\n[[7, -1, 8, 2, -1],\n [-4, -8, 0, -2, 8],\n [-7, 7, 3, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "566", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 2, 8],\n [5, 5, -7],\n [-6, 6, 3]]\nB =\n[[-3, 4, 3, -3, 8],\n [-8, -7, -4, 7, 4],\n [6, 6, 8, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "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, -4, 5],\n [-5, -4, 8, -5],\n [-4, -2, -3, 0]]\nB =\n[[-1, 5, 2, 1],\n [3, -5, -1, 5],\n [5, 5, -6, -6],\n [-3, 3, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "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, 2, 0, 7],\n [4, 8, 7, -6],\n [-1, -8, -3, 0]]\nB =\n[[-8, 8, 0],\n [-3, 7, 2],\n [-6, 2, 3],\n [8, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "574", "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, -4, -2, 3],\n [6, -1, 1, 1],\n [2, 2, 0, 4],\n [-4, -6, -1, 6]]\nB =\n[[2, -8, -8, 1, 6],\n [-4, -2, 2, -4, 3],\n [-3, -8, 5, 6, 8],\n [2, 4, 7, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "564", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -6, -8, 4, 2],\n [-5, 8, 6, -3, -8],\n [-5, -7, -5, 4, -3]]\nB =\n[[-2, -8, 3],\n [5, 6, -6],\n [3, -3, -2],\n [-2, 8, 8],\n [-4, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "176", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-4, 2, 6, 4],\n [1, -2, 6, 6],\n [-6, 6, -8, 1]]\nB =\n[[4, 7, -6],\n [0, 3, 3],\n [-6, -7, -6],\n [-4, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[4, -8, 1],\n [8, -6, 8],\n [3, 0, 1],\n [7, 6, 5]]\nB =\n[[-5, -5, 4, -5, 5],\n [-8, 7, 3, 2, -3],\n [8, -2, -5, -5, -8]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-8, -8, 1],\n [7, 0, -1],\n [-1, -2, 1]]\nB =\n[[5, -2, 3],\n [1, 7, 1],\n [0, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-6, 1, 5, 0],\n [0, 7, -8, -6],\n [-5, 3, -3, 3],\n [-2, -1, 3, -7]]\nB =\n[[4, -6, 0],\n [-2, -7, 4],\n [-1, 4, -7],\n [7, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, -8, 7, 6, 5],\n [8, 7, -7, 5, -5],\n [-7, -1, -1, -4, -3],\n [-6, -5, 6, 3, 2],\n [2, 5, 3, -3, 0]]\nB =\n[[1, 8, -6, -6, 3],\n [-6, -3, 5, -3, 8],\n [-6, 4, -3, 2, 7],\n [6, 5, 3, -6, -7],\n [5, 1, 4, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -3, -5, -6],\n [-2, 1, -1, -1],\n [-4, -6, -1, -8]]\nB =\n[[6, -3, -8, -4],\n [8, -2, 8, 6],\n [-7, 6, 7, -2],\n [-1, -5, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "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, 8, 7],\n [2, 3, -4],\n [-7, -4, -4]]\nB =\n[[2, -5, 1],\n [-7, 1, 3],\n [-1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, 0, 0],\n [0, -3, 4],\n [3, -5, 8],\n [-8, -7, 4],\n [-5, 3, -7]]\nB =\n[[-8, 4, 4, -5, -2],\n [2, 0, -6, 0, 3],\n [5, -7, -1, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 4, 7, -8, 2],\n [8, 7, -7, -3, 4],\n [1, 4, 1, -3, 3],\n [6, 3, -3, -4, -7],\n [-5, 3, -6, 8, 7]]\nB =\n[[-2, 8, -8, 3],\n [6, 7, 7, 3],\n [-2, 1, -3, -6],\n [-2, -5, -4, -7],\n [-3, 1, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1046", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 8, -2, -5, 0],\n [-1, -5, -6, 1, 5],\n [2, -8, 7, 4, -7],\n [8, 6, 5, -2, -2],\n [-2, 5, -2, 0, -4]]\nB =\n[[-7, 1, 0, 2, -5],\n [-1, -3, 4, 0, -3],\n [5, 2, 3, -3, -1],\n [0, -5, -1, -4, 2],\n [-5, -5, 4, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "708", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 2, -7],\n [-7, -2, -6],\n [-2, -1, -8]]\nB =\n[[-2, 7, -4, -8],\n [2, 8, 0, 7],\n [5, -4, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-227", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 8, -2, -2],\n [-1, 4, -3, 4],\n [-5, -7, -1, 7],\n [6, 1, -1, 6]]\nB =\n[[0, -4, 2, 3, 8],\n [-4, -1, 7, -6, 8],\n [-7, -6, 5, -2, -1],\n [-1, 5, 3, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -1, -5],\n [-4, -1, 4],\n [8, 7, -5],\n [2, 7, 5]]\nB =\n[[5, 1, 5],\n [-7, -8, -4],\n [4, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -3, 0],\n [-4, -4, 6],\n [-4, 0, 4]]\nB =\n[[-4, -7, 2],\n [-1, 5, -2],\n [0, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "120", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-1, 5, -3],\n [-4, 4, -8],\n [5, 8, 5],\n [3, 0, 8],\n [0, -1, 4]]\nB =\n[[7, 7, 2, 1, -2],\n [7, 0, 8, 2, 4],\n [-7, -2, 1, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -8, -8, 0],\n [-7, 8, 8, -1],\n [0, -5, -3, -8],\n [7, 6, 8, 1]]\nB =\n[[3, -4, -3, 8, -3],\n [-2, 3, 8, -3, -1],\n [0, -6, -1, 0, 5],\n [-3, -3, 1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "74", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -8, -7],\n [-6, 3, 8],\n [-4, -5, -3]]\nB =\n[[-4, -7, -4, -2, -6],\n [4, 5, 2, 7, 3],\n [6, 4, 6, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "594", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, -5, 1, 4],\n [-5, 7, -4, 8],\n [5, 1, 7, 8],\n [5, -6, -4, 4],\n [8, 0, -4, -1]]\nB =\n[[6, 7, 3, -3, -7],\n [-8, -8, -4, -6, -8],\n [8, -4, -6, -5, -4],\n [7, -1, -2, -5, 6]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, -8, 6],\n [-6, 1, -7, -1],\n [-2, -1, 3, 3],\n [8, 5, 5, -2]]\nB =\n[[6, -4, 5],\n [8, -7, -1],\n [-1, -2, 0],\n [-5, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "542", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 8, 4, -1],\n [3, 6, -7, 6],\n [1, -4, -3, 4],\n [-5, 0, -7, -6]]\nB =\n[[2, 7, 3],\n [-7, 6, -6],\n [4, -4, 1],\n [-7, 0, 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 (2, 3) of the product of the following matrices:\nA =\n[[-4, 2, -8, 7, -3],\n [4, 4, 6, -8, 1],\n [-7, -4, -5, -8, -6],\n [3, 6, 1, 6, 4],\n [-8, 2, 7, 8, 0]]\nB =\n[[2, 6, -6, -6, -6],\n [-1, 2, -2, 2, -7],\n [-5, -7, 2, -4, 2],\n [-5, 7, -2, 4, 7],\n [3, -2, 4, 2, -8]]\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 product of the following matrices:\nA =\n[[-8, 1, 1, -8],\n [-4, -8, -1, -7],\n [6, -3, 0, -8]]\nB =\n[[0, 1, 1, -1],\n [2, -3, -7, 3],\n [3, 2, 2, -6],\n [2, -6, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[4, 8, -7, -5],\n [5, 6, -5, 1],\n [3, -1, 3, -8],\n [-7, 5, 0, 1],\n [-6, 5, 1, 0]]\nB =\n[[5, -6, 0, 7, -1],\n [6, 3, 7, -1, 4],\n [-5, -4, -6, 5, -4],\n [5, 3, 0, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-8, 2, 1, 4, 6],\n [2, 6, -1, -4, 0],\n [7, -6, 7, 4, -3]]\nB =\n[[-1, -8, -3, -3, -5],\n [6, -4, -5, 4, 1],\n [0, 0, -1, 2, 7],\n [7, -6, -7, -3, 8],\n [4, -1, -7, -1, 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 when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, 1, -6, -2],\n [-6, 6, 0, 3, 2],\n [-2, 1, 4, -7, 0],\n [2, 5, 3, 0, 3],\n [-8, 8, 7, 7, 4]]\nB =\n[[-5, 7, 0],\n [2, 3, 8],\n [-8, -8, 1],\n [2, -8, -4],\n [-8, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-156", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-3, -3, 0],\n [5, -4, 8],\n [8, 7, -1],\n [8, -2, 5],\n [7, 3, 2]]\nB =\n[[-2, -5, -8, -7],\n [-8, 5, -7, -1],\n [-5, 4, 6, 8]]\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 when matrix A is multiplied by matrix B?\nA =\n[[6, 1, 0, -1],\n [2, -8, -3, 1],\n [-1, 0, 6, 3],\n [-3, 8, -3, -6]]\nB =\n[[3, 3, -3],\n [-5, 7, 5],\n [-5, 4, -7],\n [-8, 0, -5]]\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 product of the following matrices:\nA =\n[[4, -7, -2, 8, 7],\n [7, -2, 6, 4, -6],\n [3, -8, -5, 6, -7],\n [-4, -6, -2, 1, -2]]\nB =\n[[4, -7, 8],\n [0, 5, -2],\n [0, -6, 7],\n [5, 6, 4],\n [4, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -8, 6, -2, -3],\n [2, 5, 1, -7, 2],\n [-7, -1, -2, 2, -8],\n [-4, -7, -6, -7, -7],\n [-7, 1, -7, -4, 5]]\nB =\n[[3, -1, 6],\n [-2, 3, -1],\n [-2, -2, 7],\n [7, -2, -5],\n [4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -5, 5, 5],\n [0, 7, 7, 3],\n [7, -8, 1, -3],\n [4, -8, -4, -8]]\nB =\n[[1, -3, 1, 5, -4],\n [8, -7, 4, 7, 3],\n [-6, -2, 6, 6, 4],\n [-1, -6, 6, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 7, 0, 8, 1],\n [-3, -2, -1, 5, 2],\n [-1, 7, -3, 7, -7],\n [-7, 1, 3, -4, -6],\n [-5, -4, 6, -2, 4]]\nB =\n[[7, -4, 7],\n [6, -6, -4],\n [3, 2, 4],\n [-5, 6, 5],\n [-8, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 8, -7, 6],\n [4, -3, -2, -8],\n [4, -7, -2, 2],\n [6, -4, -8, 0]]\nB =\n[[-5, -4, -8, -8, 4],\n [1, -7, 4, 7, 3],\n [-7, -1, 5, 2, 5],\n [1, -4, -8, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-544", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -8, -7, 1],\n [-8, -6, -7, -2],\n [2, -6, 7, -5]]\nB =\n[[5, -2, 5, 4, -2],\n [5, -1, -1, -6, 6],\n [-2, -2, -1, 6, 1],\n [-3, 3, 7, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[4, -8, -2, -2, 2],\n [-3, 4, -8, -6, -5],\n [4, 5, -4, -1, -1],\n [8, -5, 1, -5, 5]]\nB =\n[[5, -7, 3, -6],\n [-6, 1, 6, 8],\n [0, -3, 6, 6],\n [0, 1, 1, -3],\n [7, -5, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -7, 6, 0, -3],\n [-6, -4, 0, -3, 7],\n [1, -5, 1, -6, 8]]\nB =\n[[-4, -2, -7, 1, -8],\n [-2, -2, -1, -3, 3],\n [-8, -1, -8, 7, 4],\n [0, 8, 3, -4, 8],\n [-8, 5, 6, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "675", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 0, -3, 1, 4],\n [-4, 3, 8, 0, 1],\n [-4, -7, -1, 3, 4],\n [7, 5, 8, -8, -4],\n [-8, -3, -4, 6, -8]]\nB =\n[[-6, 4, 3, 0, -8],\n [3, 8, -7, -5, -2],\n [5, -6, 3, 1, -7],\n [1, -6, -4, 5, -4],\n [2, 3, -1, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-10", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 4, 4, -1, 1],\n [2, 7, 0, 7, 1],\n [0, -6, -2, 5, 8],\n [3, 1, -6, -6, -5]]\nB =\n[[-6, 4, -7, -2, 7],\n [-7, -1, -4, -3, 7],\n [6, -2, 0, -5, 4],\n [3, -7, 7, 6, -4],\n [-2, -6, -8, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "658", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -7, -6],\n [-6, 2, -1],\n [4, -4, -2],\n [-5, 4, 3],\n [1, -3, 3]]\nB =\n[[6, -6, -3, -7],\n [-4, 2, 8, -8],\n [2, -3, 8, -4]]\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 when matrix A is multiplied by matrix B?\nA =\n[[6, -1, -4, -4],\n [0, 6, 7, 8],\n [-7, 8, -4, 7],\n [8, 8, 5, 0]]\nB =\n[[-2, -1, 2],\n [-4, -8, -7],\n [4, 6, -6],\n [7, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-291", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -4, 2],\n [-6, -1, -4],\n [8, 5, 5],\n [7, -5, 3],\n [2, -1, 5]]\nB =\n[[2, -8, 4, 2],\n [-7, -3, 7, 5],\n [-7, 5, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 4, 8, -4, -5],\n [-7, -5, 4, -4, -6],\n [-7, 4, 6, 7, -2],\n [-8, 4, 7, 8, -4],\n [5, -2, -7, 4, 3]]\nB =\n[[0, -5, 5],\n [6, 4, -1],\n [-6, 5, 5],\n [-5, -5, -7],\n [-7, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 8, 7, 4],\n [6, -1, -7, -4],\n [4, 4, 8, -1],\n [2, -5, 3, -4]]\nB =\n[[2, 1, 2, -7],\n [-3, -5, 6, 3],\n [2, -6, -8, 1],\n [-6, 2, -5, 3]]\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 when matrix A is multiplied by matrix B?\nA =\n[[5, 1, 5, 2, 7],\n [-1, -8, 6, 1, -4],\n [4, -6, -3, 0, 7]]\nB =\n[[-7, 1, 8, -5, -6],\n [-2, -4, 1, 6, -3],\n [-1, 4, 0, -5, 1],\n [-8, -1, 6, -7, 6],\n [-1, 0, 5, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -4, -8, 3, 6],\n [3, -8, 0, 8, -2],\n [-7, 4, -3, -6, 4],\n [4, 7, 3, -3, -6]]\nB =\n[[6, -1, -5],\n [-2, -3, -2],\n [0, -2, 7],\n [-8, -8, 5],\n [-6, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[5, 5, 8, -6, 3],\n [6, -4, -5, -7, -4],\n [-2, 7, -4, 3, 8],\n [-2, -5, -3, -3, 0],\n [-1, 7, -4, -2, 7]]\nB =\n[[-6, -5, -5],\n [8, 5, -2],\n [-5, -6, -2],\n [0, -2, 3],\n [8, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[-7, -1, 2, 5],\n [5, -6, -8, -5],\n [6, 5, -2, 5],\n [0, -5, 0, 8],\n [-7, 0, 0, 8]]\nB =\n[[-5, 7, 2, -8, -5],\n [6, -5, 6, 0, -6],\n [6, 6, -6, 6, -5],\n [4, 6, 6, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -2, -4],\n [8, 5, -3],\n [4, -2, -5],\n [-6, 8, -8],\n [4, 3, 5]]\nB =\n[[-7, 5, 1],\n [2, 7, -4],\n [-6, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "510", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -1, 3, -3],\n [7, 3, -5, 5],\n [3, -7, 6, 8],\n [-7, 3, 7, -4]]\nB =\n[[2, 2, -3, 4],\n [2, -1, -3, 8],\n [-6, -5, 7, 6],\n [5, -2, -8, 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 when matrix A is multiplied by matrix B?\nA =\n[[-2, -8, -6, -6, 0],\n [-7, -3, -2, 4, 6],\n [5, -7, -2, 0, -6],\n [5, 4, 2, -4, -4]]\nB =\n[[1, 4, -5, 6],\n [0, 5, 4, -6],\n [8, 1, 8, -3],\n [-5, 4, -3, -6],\n [5, -5, 5, 2]]\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, 1) when matrix A is multiplied by matrix B?\nA =\n[[-6, 5, 7],\n [-7, 1, -3],\n [3, 6, 7],\n [1, 0, 2],\n [6, 2, -8]]\nB =\n[[-1, 5, 4, -7],\n [3, -6, -3, 3],\n [-8, -7, 6, 0]]\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 product of the following matrices:\nA =\n[[-3, -4, 6, 7],\n [-3, -2, -5, -5],\n [2, 0, 5, 6]]\nB =\n[[6, 3, 2, 0],\n [0, 2, 0, -8],\n [3, 1, 2, 5],\n [2, -6, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, 5, -4, -4],\n [3, -1, -2, -8],\n [-6, -7, -5, 0],\n [-3, -7, 0, -1],\n [-3, 1, 1, 3]]\nB =\n[[-4, -7, -3, 5, -2],\n [7, 6, -8, 6, -2],\n [3, -4, 0, -7, -2],\n [0, 2, -3, -4, 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 when matrix A is multiplied by matrix B?\nA =\n[[0, -1, -4, 6, 8],\n [3, 1, 2, -4, -4],\n [2, 4, 1, -4, 8]]\nB =\n[[-3, -4, -7, 1, -7],\n [6, -3, -8, -4, 6],\n [-8, -4, -3, -8, -4],\n [-5, -7, -3, 3, 5],\n [-2, -8, 3, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -4, -3, 0],\n [7, 5, 5, 0],\n [8, 1, 6, 0],\n [5, -7, 5, -7]]\nB =\n[[-7, -8, -4],\n [7, 8, -6],\n [4, -8, 2],\n [-7, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-315", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -5, -1, -6, -8],\n [-7, 0, 7, -2, 2],\n [7, 5, 5, -5, -2]]\nB =\n[[-3, 0, 0, -1],\n [-5, 1, -1, -6],\n [-2, 2, 1, 1],\n [-8, -5, 8, -3],\n [-7, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 6, 7],\n [5, -1, -7],\n [1, -1, -6],\n [4, 7, 2]]\nB =\n[[-4, 5, 4, 5],\n [6, -6, -6, -5],\n [8, 5, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "469", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 2, 2],\n [6, -7, 2],\n [7, 5, 8],\n [6, 1, 5]]\nB =\n[[6, 3, -6],\n [2, -5, -3],\n [0, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -3, 4, 7, 4],\n [7, 7, 4, -8, -1],\n [8, -8, 2, -1, 5],\n [3, 2, 4, 5, 8],\n [8, -3, 0, 6, -5]]\nB =\n[[-3, -7, -6],\n [5, 4, 4],\n [-4, -1, 2],\n [7, -6, 3],\n [2, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-654", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -1, -2, -1],\n [-5, 5, 7, 4],\n [4, 6, -4, 3],\n [-8, 6, 2, -8],\n [8, -6, -8, 6]]\nB =\n[[6, 5, -4, 3, 4],\n [-1, 7, 2, -3, -3],\n [-6, 6, -4, 3, -5],\n [0, 0, 3, 3, 5]]\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 product of the following matrices:\nA =\n[[-5, 3, -3],\n [6, -4, -3],\n [-1, 0, 0],\n [7, 8, -5],\n [-3, -5, 6]]\nB =\n[[-6, -1, 8, 8, 3],\n [0, 5, 3, 2, -2],\n [-3, -1, 1, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "629", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[8, -1, 7, 7, -1],\n [3, -5, -2, 1, 8],\n [2, 6, 0, 4, -2],\n [4, -8, -6, 3, -1]]\nB =\n[[-8, -5, 0, -4],\n [0, -8, 3, -1],\n [-2, 0, 7, 4],\n [-5, -3, 0, -6],\n [-6, 1, -7, 6]]\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[[-7, -6, 4],\n [-4, -7, 1],\n [6, 2, -7],\n [4, 4, -6]]\nB =\n[[-1, -4, 7, 6, 8],\n [-5, -8, -8, 1, -3],\n [-8, -2, 3, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "649", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 3, 5, -2],\n [-1, -3, -7, 7],\n [4, 0, -5, 1],\n [3, -8, 0, -4]]\nB =\n[[-1, 3, -6, -2, -7],\n [-6, 7, 7, -1, 0],\n [-1, -3, 1, -3, 4],\n [6, 7, 8, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "617", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 3, 2],\n [-6, 4, 4],\n [0, -2, 8],\n [-6, -1, 6],\n [1, 5, 1]]\nB =\n[[-2, -5, 6, -3, 8],\n [1, -5, -2, 0, -2],\n [-3, 1, 7, -6, 6]]\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 product of the following matrices:\nA =\n[[-4, 3, -5, -4, 5],\n [-3, 6, 5, 8, -6],\n [-7, -5, 5, -2, -1],\n [6, -2, 6, -7, 7],\n [-3, -2, 2, 5, 5]]\nB =\n[[-8, 0, 0, 7, 3],\n [-5, -8, 7, 1, 1],\n [-2, -6, -2, -2, -5],\n [-4, -7, 6, 7, 8],\n [3, 4, -3, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-343", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 1) of the product matrix AB given:\nA =\n[[-2, 3, 6],\n [3, 4, 2],\n [-6, 5, -3],\n [2, 1, 2]]\nB =\n[[2, -2, -3, -7, -7],\n [1, -5, 5, 4, 2],\n [-4, -1, -1, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-4, 1, 0, -7, 2],\n [-4, 5, -2, -7, -6],\n [-5, 7, -8, -7, -6],\n [2, 7, 7, 2, 3],\n [1, -6, 2, -8, 2]]\nB =\n[[-3, 7, 1, -5, -5],\n [5, 5, 1, 5, -2],\n [-8, -1, 7, 8, -4],\n [-8, -2, -5, 2, -2],\n [-4, 4, 3, 5, -6]]\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 when matrix A is multiplied by matrix B?\nA =\n[[0, 5, 8, -2],\n [-6, 5, -1, -3],\n [-8, -4, -6, 4],\n [2, 0, 5, 6],\n [-3, 6, 3, -5]]\nB =\n[[-4, -5, 0],\n [-5, -8, -8],\n [-2, -7, 7],\n [7, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -8, 2],\n [-3, 7, 1],\n [2, 8, 0],\n [-7, 7, -7],\n [0, -2, 1]]\nB =\n[[8, 5, 8, 8],\n [-8, -7, -1, 6],\n [-4, 4, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-556", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 6, 8, -1, -6],\n [8, 2, -6, -7, -2],\n [0, -6, -7, 4, 0]]\nB =\n[[0, 2, -1, -1, 6],\n [-1, 4, 6, -1, -7],\n [2, 4, 1, 3, 2],\n [-7, -5, 2, -2, -3],\n [4, 7, 5, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 2, 0, 0],\n [7, -3, -2, -6],\n [4, 7, 8, -1],\n [-4, 2, -8, -4],\n [5, 6, 8, 3]]\nB =\n[[-3, 4, 5, 8, -5],\n [-7, -5, 3, -2, 0],\n [-5, 7, 6, -8, 7],\n [3, 4, -6, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -4, 4, -4],\n [-5, 8, 1, -2],\n [3, -4, 8, 2]]\nB =\n[[5, 6, -8, -2, 7],\n [-6, -3, 2, 2, 6],\n [4, 3, -8, 7, -6],\n [2, 5, -5, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 8, 8, -7],\n [5, -1, 3, 2],\n [2, -6, 7, -2],\n [-4, -1, 6, 6],\n [7, 4, 2, 3]]\nB =\n[[7, 4, -6, 4],\n [4, 4, 1, -8],\n [1, -5, -3, 4],\n [2, 3, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-7, 4, -2, -6, 2],\n [8, -4, -3, -8, -8],\n [-4, 5, 3, -7, 7],\n [2, 2, -6, -6, -5]]\nB =\n[[-7, 5, -5],\n [6, -6, 4],\n [-3, -3, 0],\n [1, 3, 0],\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 absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 1, 1, -8],\n [8, -5, -8, -6],\n [-1, 5, -4, -2],\n [3, -5, 0, 0]]\nB =\n[[-7, -4, 1],\n [-8, 6, 7],\n [3, -8, -1],\n [2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "448", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 7, 2],\n [-8, 4, 5],\n [8, 3, -6],\n [8, 8, 2]]\nB =\n[[-7, -4, -8, 4, 1],\n [3, -3, -8, -2, -4],\n [7, 7, -4, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-439", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[8, -7, 0, -6],\n [2, 0, 6, 1],\n [-1, 8, -8, 4],\n [4, -4, 7, -3],\n [0, 3, 0, -3]]\nB =\n[[-3, 3, -1],\n [8, 3, -1],\n [-5, -3, 0],\n [-7, 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 product of the following matrices:\nA =\n[[-7, -4, 3, 7],\n [-7, -7, -7, 5],\n [-5, -7, 3, 6],\n [0, 3, 6, -1]]\nB =\n[[-8, 5, -5, 6],\n [0, -4, 4, 3],\n [5, 0, 0, -5],\n [2, -7, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -4, 8, -1, 2],\n [-1, 4, 3, -2, -1],\n [-2, 1, 5, -5, -2],\n [-2, 6, -4, -2, 8]]\nB =\n[[-2, -3, 5, 8, 8],\n [-8, 6, 8, 5, -6],\n [0, 3, 3, 3, -2],\n [-6, 8, -2, 0, 8],\n [2, 5, 6, 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 all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 0, 0, 5, 6],\n [8, 0, 5, -1, 6],\n [-1, -7, 7, 5, -8],\n [-5, 6, -8, -3, -2],\n [3, -5, 0, 3, -5]]\nB =\n[[-3, -4, -5, 6],\n [1, -1, 7, -6],\n [-3, 0, -4, 2],\n [-6, 0, 0, 1],\n [-5, 4, 8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-134", "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, 8, -3],\n [1, 3, -5, 7],\n [7, -7, -6, -2]]\nB =\n[[2, -1, 4, -1, 5],\n [8, -6, -6, -4, -3],\n [5, 7, -6, 3, -8],\n [2, -7, -4, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "814", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 0, 1, 1],\n [0, 3, -1, -6],\n [-4, -7, 8, -6]]\nB =\n[[-6, 4, 8, -7, -6],\n [-5, -5, 4, 1, -5],\n [0, -4, 8, 8, 2],\n [-3, -7, -8, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "454", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-7, 6, 2, -8, -3],\n [-8, 1, -5, -2, 2],\n [-8, 6, -6, 2, 7],\n [4, -7, -4, -1, 3]]\nB =\n[[-8, -7, -8, 0],\n [8, -3, -8, -6],\n [-4, 2, 2, 0],\n [-2, -8, 0, 4],\n [-5, -1, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -6, -2, 1, -2],\n [-1, 4, 2, 0, -2],\n [0, 2, 7, 4, -4],\n [7, 0, 4, 3, -1],\n [6, 0, 4, -1, -5]]\nB =\n[[8, 4, 5],\n [-5, -7, -1],\n [-7, 0, -6],\n [4, -4, 6],\n [-2, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-8, -8, -2, -1],\n [1, -4, -2, -4],\n [8, -3, 4, 8],\n [3, 2, 2, 5],\n [0, -3, -4, 1]]\nB =\n[[8, -6, -5],\n [6, -1, 2],\n [-1, -2, 4],\n [0, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[7, 4, -2, 4],\n [1, -2, 4, -4],\n [1, -1, -7, -7]]\nB =\n[[1, 7, -3, -7],\n [-5, 1, 5, -6],\n [-2, 4, -5, -4],\n [4, -8, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 8, 5, 5],\n [5, 3, -7, 4],\n [-4, -2, 4, -8],\n [5, 6, 5, -8],\n [5, 0, -6, -4]]\nB =\n[[6, -6, -6],\n [-4, 5, 6],\n [-5, 3, -3],\n [-7, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "650", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 5, 8],\n [5, -3, 7],\n [-5, 4, -7],\n [5, 1, -7]]\nB =\n[[1, 6, -3, 1],\n [1, 8, -4, 4],\n [8, -1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -6, 1],\n [-8, -8, -1],\n [-8, -3, 2]]\nB =\n[[8, -3, -8, 6],\n [8, 5, 3, -7],\n [-3, 8, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-167", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 5, 3, -1],\n [7, 4, -2, 8],\n [-2, 2, 6, -2]]\nB =\n[[4, 0, -5, -5],\n [2, -7, -4, -8],\n [-7, 1, 4, -8],\n [5, 6, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-278", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 1, 5],\n [-4, 7, 3],\n [2, -8, 2],\n [-8, 3, -1]]\nB =\n[[0, -6, 0, 0, -6],\n [5, -7, -6, -6, 2],\n [-3, -2, 8, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "605", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 0, -7, -3, 7],\n [4, -3, -1, -2, -6],\n [-4, 2, 5, 3, -3],\n [-6, -5, 3, -6, 3]]\nB =\n[[-2, -4, -7],\n [4, -5, 1],\n [-4, -5, 2],\n [1, -2, 4],\n [7, 7, 5]]\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 product of the following matrices:\nA =\n[[5, -8, 2, 1, -8],\n [4, 8, 3, 2, 1],\n [1, 6, 1, 4, 5],\n [7, 1, -1, -4, 2]]\nB =\n[[-4, -2, -8, -6],\n [-8, 7, 5, 1],\n [3, -1, 6, -4],\n [-5, -7, 8, 3],\n [4, 1, -7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "594", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-8, 7, 4, 0],\n [-7, 5, -3, 8],\n [4, 0, -2, 4],\n [2, 1, -4, -8],\n [7, -8, 1, -6]]\nB =\n[[-8, -2, -2, -2, 7],\n [-8, 6, -4, -6, 0],\n [5, 6, -7, -6, 7],\n [8, 0, 6, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -8, -3, 0],\n [8, 2, 4, -4],\n [-2, 3, -2, 5]]\nB =\n[[-8, 2, 4],\n [8, -1, 8],\n [7, -8, 4],\n [-3, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -4, -3],\n [1, 2, 3],\n [-4, 8, -5]]\nB =\n[[-6, -5, 6],\n [2, 5, 6],\n [-6, -5, -3]]\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 (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[7, 1, 6, -7, -1],\n [1, 8, 3, 1, 6],\n [-7, 8, -3, -5, 4],\n [3, -5, 7, 4, -8]]\nB =\n[[-5, -1, 8, -7, -8],\n [7, 2, 8, 5, 3],\n [8, 2, 4, 7, -8],\n [-2, -2, 4, -8, 6],\n [1, 0, 8, -8, -7]]\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 product of the following matrices:\nA =\n[[-7, -3, 1],\n [-8, 0, -8],\n [1, -7, 4],\n [8, -6, 0]]\nB =\n[[8, -5, -7],\n [-8, 8, -6],\n [-1, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "687", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 5, 3, -2, 0],\n [5, 4, 6, -6, 8],\n [0, -4, 8, -2, -3],\n [-3, -1, -5, 5, -1]]\nB =\n[[-3, -4, 1],\n [3, -3, 6],\n [-3, -3, -4],\n [-5, -7, 8],\n [-2, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "320", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 4, -4, 8, 6],\n [6, 2, 2, -4, -7],\n [8, -8, -2, 3, 6]]\nB =\n[[-2, -8, 3, -3],\n [0, 4, -1, 7],\n [-2, 3, 1, 2],\n [2, 2, -5, 8],\n [1, 7, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -8, -2, 0],\n [-4, -7, -8, 2],\n [8, 4, 4, 2],\n [5, 7, -2, 8]]\nB =\n[[1, 3, 2, 3],\n [-2, 2, 0, 3],\n [-5, -8, -7, -7],\n [8, 5, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "544", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[2, 8, -2, 8, 0],\n [3, 8, 4, -1, 6],\n [-5, 0, -5, -4, 3]]\nB =\n[[1, -7, -2, 1],\n [-8, -3, -4, -8],\n [-5, 8, -1, -8],\n [-5, -3, 2, 0],\n [-3, -4, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-5, -5, -7, 0, -6],\n [0, -6, 6, 8, 7],\n [-8, 2, 6, -3, -4]]\nB =\n[[-6, -3, 5, -8, 6],\n [-3, 2, -8, -3, -7],\n [-2, 1, -4, -5, -1],\n [-3, 3, 8, -6, 0],\n [6, 7, -8, 2, -5]]\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 product of the following matrices:\nA =\n[[8, 6, -7],\n [6, -6, 7],\n [-5, -6, 5],\n [-8, -5, -1]]\nB =\n[[-8, -8, 7],\n [2, 1, 2],\n [4, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -1, 1],\n [0, 7, -6],\n [4, 0, -8]]\nB =\n[[-7, -6, 3, 1],\n [8, 5, -1, -4],\n [-2, 4, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 4, 2],\n [6, -6, 2],\n [-5, -8, 8],\n [-6, -2, -7]]\nB =\n[[7, 3, -8],\n [-4, 4, -4],\n [-6, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 6, 0, -3, -7],\n [-7, 4, -2, -3, -1],\n [-7, -1, 7, 7, 4],\n [2, 6, -1, 3, 2],\n [0, -1, -4, 0, 0]]\nB =\n[[4, -1, -7, 0, -5],\n [1, -3, -1, -8, 6],\n [6, 6, -1, -4, 1],\n [-1, -6, -3, 1, -3],\n [-1, 2, 4, 2, 6]]\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, 5) when matrix A is multiplied by matrix B?\nA =\n[[1, 8, 6, 1],\n [-1, 6, 8, -6],\n [-5, -2, 3, -6]]\nB =\n[[4, -6, 2, 8, -6],\n [-4, -8, 7, 0, 5],\n [5, -8, 6, -2, 7],\n [8, -7, 7, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[-5, -1, 7, 0, 6],\n [-8, 4, -5, 0, 2],\n [7, 2, 1, -6, 4],\n [-7, -4, 4, 3, -5]]\nB =\n[[8, -1, 4, -8, -2],\n [4, 2, 5, 4, 2],\n [-3, 5, -7, 6, -2],\n [3, 2, 0, 4, -6],\n [-4, -2, -1, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -7, 3, 3, 6],\n [-2, -5, 1, -6, 4],\n [-4, -3, 8, 0, 0],\n [-6, 0, -5, 8, -7]]\nB =\n[[-8, -1, -5, 0, 7],\n [-8, -7, 6, -6, 5],\n [5, 1, 5, 8, -6],\n [1, 1, -1, -6, 0],\n [-3, -7, -2, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -1, 1],\n [2, 6, 8],\n [-4, 3, -5],\n [3, 4, -7],\n [4, 8, -1]]\nB =\n[[2, -2, 1],\n [-7, 1, -7],\n [4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "358", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, 1],\n [6, 6, 5],\n [-1, 4, 6]]\nB =\n[[-4, -6, 5, -4, 1],\n [5, 3, 0, 5, -7],\n [4, 2, 6, -3, -8]]\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 when matrix A is multiplied by matrix B?\nA =\n[[1, 8, 3, -8],\n [-1, -5, -1, 8],\n [3, 6, 7, 5],\n [-5, -1, -7, -6],\n [-1, 5, 0, -3]]\nB =\n[[0, 6, -7, 1],\n [1, -8, 4, -5],\n [2, -4, 7, -4],\n [8, 0, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -2, -7],\n [6, -8, 7],\n [-1, -2, -7],\n [-5, 3, 0],\n [-7, 8, 8]]\nB =\n[[-7, 1, -7, -6],\n [-4, -1, 3, 5],\n [4, -8, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "853", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 8, -1, 4],\n [0, -1, 6, -2],\n [4, 3, -5, 2],\n [0, -5, -5, 5],\n [3, -8, 8, -7]]\nB =\n[[-3, -1, 8],\n [4, 4, -5],\n [-7, 3, -6],\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 sum of all entries of the product of the following matrices:\nA =\n[[0, -2, 4, 2],\n [3, -8, 7, 3],\n [4, -8, 5, -1],\n [1, 5, -6, 6],\n [-5, -8, 4, 7]]\nB =\n[[6, -5, -5],\n [-6, -7, -6],\n [7, 7, -6],\n [-7, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "397", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[0, -1, 5, -7, -6],\n [-7, 6, 7, 1, 6],\n [-3, 6, -2, 3, -8],\n [-1, -3, -5, 0, -5]]\nB =\n[[-1, -5, -8, -4, 7],\n [-7, -2, 0, 5, -3],\n [-1, 4, -6, 8, 6],\n [2, 1, -8, 5, -7],\n [3, -2, 6, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -8, -8, -8, 0],\n [4, 3, -3, -6, -7],\n [-7, 6, -8, -5, 1]]\nB =\n[[-5, 1, 7, 6],\n [2, -8, -8, 4],\n [5, -1, -1, 6],\n [5, 1, 2, 4],\n [0, 1, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-367", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -5, 2],\n [-4, 7, 0],\n [3, -4, -2]]\nB =\n[[-6, 1, -1, -3],\n [-8, 3, -1, 6],\n [-6, 1, 4, -5]]\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 product of the following matrices:\nA =\n[[6, 2, -7],\n [8, -1, 6],\n [8, -4, -7]]\nB =\n[[-7, 7, -7],\n [6, 8, 7],\n [6, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "493", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, -5, 3, -2],\n [0, 4, 2, 5],\n [5, -5, 8, 0],\n [5, 8, -6, 2],\n [-5, 3, 7, 6]]\nB =\n[[7, -4, -3, 3, 5],\n [8, -8, 2, -2, -4],\n [7, 1, -1, 0, -1],\n [1, 3, -1, 1, -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 (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[8, 3, -2],\n [-7, -2, -3],\n [-1, -6, -6],\n [-5, -2, 6]]\nB =\n[[-7, -1, 5, 1],\n [1, 4, 5, 3],\n [-3, -1, -7, 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 when matrix A is multiplied by matrix B?\nA =\n[[2, 1, 1],\n [-1, -3, 6],\n [2, 0, 7],\n [-1, 2, -6]]\nB =\n[[8, -2, -3],\n [7, -3, 8],\n [7, -5, -6]]\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 all entries of the result:\nA =\n[[-2, 8, 7, 7],\n [-6, -6, 4, -3],\n [-7, 2, 0, 4],\n [-3, 0, 6, -1],\n [8, 0, -8, -5]]\nB =\n[[-4, -5, -2, -7],\n [-3, 7, 4, 7],\n [5, -7, 5, 0],\n [6, 1, -7, 0]]\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 product of the following matrices:\nA =\n[[-7, 7, -8, -6],\n [-3, -5, -8, -3],\n [-7, -8, 8, 1]]\nB =\n[[4, 3, 0, -5, -8],\n [7, 4, 8, -7, 8],\n [-8, 0, -7, -6, -5],\n [3, 4, -8, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -8, 6, -8],\n [6, -5, 5, 8],\n [6, 6, -8, -3],\n [-3, 2, -2, 8]]\nB =\n[[3, 6, -5, 6],\n [2, -3, -8, -2],\n [0, 3, 6, -1],\n [-2, -1, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 3) of the product of the following matrices:\nA =\n[[-1, -2, -1, -7],\n [7, -2, -3, -4],\n [8, 5, -3, -3]]\nB =\n[[6, 0, -6, -3, 5],\n [-7, 6, 6, -2, 0],\n [-7, 8, -5, -3, 8],\n [-6, 2, -7, 5, -4]]\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 product of the following matrices:\nA =\n[[2, 6, -7, 6],\n [-8, 7, -1, 4],\n [-1, -1, 6, 4],\n [4, -1, 8, -8],\n [1, -6, -4, -1]]\nB =\n[[6, -7, -2],\n [-1, -7, -8],\n [2, 1, -4],\n [-3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "485", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -7, -5, -10, -3],\n [-3, 8, 5, 9, 5],\n [0, -6, -10, 9, -8],\n [2, 2, 7, 2, -8]]\nB =\n[[-4, 2, 5, 8, -5, 10],\n [-7, -4, 8, 5, -3, 3],\n [-5, -10, 9, 9, 5, 2],\n [7, 1, -8, 2, 6, 3],\n [6, -1, 10, 2, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "16", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 7, -10, 3, -3],\n [-3, 1, 9, 7, 9],\n [-5, -7, 10, 10, 5],\n [-1, 8, 9, -9, -4],\n [-3, 5, 5, -3, -8]]\nB =\n[[2, -7, -9, -9, 8],\n [-2, -1, 4, 10, -1],\n [-10, 1, -4, -7, 5],\n [3, 4, -7, 6, 8],\n [6, -6, 7, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -3, -9, -10, 1],\n [3, 10, 4, 8, 6],\n [-10, -9, -4, -3, 6],\n [-7, -3, -6, 7, -4]]\nB =\n[[1, 1, 9, -10, -1],\n [7, -4, 10, 3, -10],\n [-2, -7, 5, 2, 9],\n [-3, 0, -7, -9, 5],\n [-6, 8, -9, 7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -7, -6, 10],\n [-1, -1, -9, 5],\n [9, -8, 2, 2],\n [-6, -3, 1, 7]]\nB =\n[[4, 8, -1, -5, -7],\n [-9, 3, 7, 7, -6],\n [-5, 7, -2, -5, -8],\n [-9, -6, 7, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1300", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 1, -8, -3, -1, 2],\n [-8, 0, 6, -4, 9, -6],\n [-1, -8, 0, 7, -1, -5],\n [5, -9, -7, -1, 7, -10],\n [9, 9, -7, 3, -3, -5]]\nB =\n[[8, -3, 1, -2],\n [-2, 3, -9, 4],\n [-10, 9, -7, -10],\n [4, -8, 10, 7],\n [5, 7, 0, -7],\n [-6, -3, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "457", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 5, 10, -3],\n [-4, -3, -5, 6],\n [3, 0, -10, 3],\n [1, -5, -1, -3]]\nB =\n[[6, 9, -1, 3, 0],\n [0, 9, 7, 0, 8],\n [10, 8, -9, -10, 5],\n [-1, -9, -4, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-250", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-10, -1, -5, -9],\n [-10, -10, 7, 4],\n [-9, -7, 9, -2],\n [1, -3, -7, 5]]\nB =\n[[-1, 3, 7, -7],\n [2, -6, 7, 9],\n [-9, 0, -6, 0],\n [4, -10, -10, 0]]\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 trace (sum of diagonal elements) of the result:\nA =\n[[9, -4, 2, 1, -2],\n [-7, -6, -6, 4, 6],\n [9, 6, -4, 2, -9],\n [-6, -5, 9, -5, -7]]\nB =\n[[-7, 9, 6, 3],\n [4, -1, 0, 6],\n [7, 7, -8, 10],\n [9, 1, -7, -6],\n [9, 3, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 5, 2, 5],\n [5, -2, 7, -1, -3],\n [1, 3, -1, -10, -3],\n [-5, -5, 6, -6, -10]]\nB =\n[[6, -4, 10, 6],\n [6, 2, 7, -3],\n [-5, -10, 0, 10],\n [5, 2, 9, -5],\n [-1, 8, -9, -4]]\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 when matrix A is multiplied by matrix B?\nA =\n[[5, 6, 2, 7, -4],\n [0, 10, -6, 1, 8],\n [6, -1, 6, 3, 8],\n [5, -5, -5, 2, 9],\n [5, 9, -8, -3, 1],\n [-1, 10, -2, -4, -9]]\nB =\n[[-5, -3, 3, 7, -4],\n [4, -6, 7, 0, -4],\n [10, 8, 4, -2, -6],\n [1, 5, 10, 4, 5],\n [-6, -5, 9, 10, 7]]\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 product of the following matrices:\nA =\n[[-4, -2, 10, -1],\n [4, -3, 9, -3],\n [6, -8, -4, -6],\n [0, -2, 8, -7],\n [-6, -8, 9, -7]]\nB =\n[[-5, -3, -7, 4],\n [-3, -5, -8, -3],\n [-3, -5, -6, 4],\n [-7, -5, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "549", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[-10, 3, -6, -7, -10, 5],\n [6, 3, -8, -5, 3, 3],\n [1, 0, 10, 5, -10, -9],\n [-5, 4, -4, -7, 2, 6],\n [-9, 4, -1, 2, 0, 1],\n [-6, 4, -9, -6, -8, -1]]\nB =\n[[-9, 8, 9, 2, 4],\n [0, 6, -7, -2, -9],\n [6, -7, 6, -2, -3],\n [-10, -7, 9, 2, -8],\n [-1, 2, -10, 10, 9],\n [-10, -6, -4, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 1, 3, 0],\n [8, -10, -6, 5],\n [2, 1, 4, 4],\n [3, 8, -10, 2]]\nB =\n[[4, 6, 0, 1, 0, 9],\n [-7, 3, -1, -9, 4, -8],\n [-1, -2, 7, -9, 10, -3],\n [-5, 7, -9, -10, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1292", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 0, -3, -8],\n [-3, 10, -3, -6],\n [8, 8, -9, -10],\n [-7, -10, -6, -6],\n [5, -9, 4, 1]]\nB =\n[[-9, 10, 3, 1, -4],\n [10, 10, 4, 1, -6],\n [-3, 1, -5, 7, -2],\n [4, 3, -3, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1424", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[0, 1, -1, -9, 7, -5],\n [-8, 0, 5, -1, -10, 4],\n [6, -2, 1, 5, 1, -6],\n [9, 7, 6, -7, 4, -3],\n [-9, 0, 9, -8, 8, -8]]\nB =\n[[3, 4, 3, 1],\n [5, 8, 10, 10],\n [7, 6, -7, 5],\n [-1, 2, -1, 8],\n [5, 10, -2, 6],\n [-8, -3, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-18", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -2, 3, 8, -7],\n [8, 9, -7, 5, -7],\n [1, -9, 0, 1, 7],\n [-4, -4, 9, 0, -6]]\nB =\n[[-9, -1, -5, 5],\n [6, 9, 0, 10],\n [2, 7, 6, -8],\n [-10, -2, -10, -9],\n [5, 6, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-756", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 0, 6, 6],\n [7, -9, -10, -6],\n [7, -2, 5, -4],\n [-4, 2, -7, -1],\n [6, -2, 3, 6]]\nB =\n[[7, 6, -6, -3, -4, -6],\n [6, -2, -5, 7, 6, -7],\n [3, -8, -7, -10, 1, -4],\n [-4, 8, 1, -6, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-1, 10, 2, -9, -10, 2],\n [8, -2, 0, -2, -9, -1],\n [8, 7, 1, -1, 5, -4],\n [5, -6, 4, -9, -1, 1]]\nB =\n[[4, -6, 7, -3, -9, 5],\n [9, 10, 3, 0, 3, 0],\n [-5, -2, -3, -2, 2, 0],\n [-6, -2, -3, 4, -4, 1],\n [8, 1, 2, -1, 8, 3],\n [-2, -5, 0, -8, -1, 4]]\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 sum of all entries of the result:\nA =\n[[-10, 6, 0, 9, 3],\n [1, -4, -3, 5, 6],\n [-1, 4, -2, 1, -7],\n [1, 5, -2, -2, 5],\n [-8, -9, 1, -10, 3],\n [-6, 4, -9, 1, -8]]\nB =\n[[8, -3, -1, 1, -6],\n [8, -10, 5, -10, -2],\n [-7, 2, 8, -9, 8],\n [-5, 5, 4, -5, 3],\n [4, 2, 9, -9, 6]]\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 product of the following matrices:\nA =\n[[0, 6, 3, 0],\n [6, -9, -8, -7],\n [8, -4, -4, -8],\n [-9, 1, -3, 1],\n [-10, -2, -1, 3],\n [0, 0, 4, -4]]\nB =\n[[-6, 0, 0, 8, -4],\n [8, 3, -2, -9, -8],\n [-1, 1, 7, -6, -7],\n [-6, 4, -9, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "308", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -4, -1, -4],\n [2, 1, 6, -9],\n [-9, 0, -4, -2],\n [9, -5, -9, -1],\n [0, -8, -9, 10],\n [5, -1, 0, -8]]\nB =\n[[4, -7, 6, 5],\n [8, -2, -5, 10],\n [10, -1, -6, -9],\n [0, 2, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-221", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 8, -7, -5, -6, 4],\n [-1, 1, 5, 9, -7, 0],\n [9, -2, -5, -9, -10, 7],\n [1, 9, 4, 3, 7, -8],\n [-6, -7, 1, 4, 0, 3]]\nB =\n[[-3, 10, -5, 2, 3],\n [-5, 4, -9, -9, 3],\n [-8, 9, -1, 10, -5],\n [5, -3, 10, 10, -6],\n [0, 9, -8, -6, 4],\n [5, 8, 5, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[4, 10, 7, -2, -7],\n [2, 4, 6, 3, -10],\n [-7, 3, 2, -10, -10],\n [3, 0, 3, 8, 6],\n [-9, -7, 3, 9, 0]]\nB =\n[[-10, 8, -6, -9, -6],\n [6, 2, 1, 9, 3],\n [-8, -7, -5, -9, 0],\n [2, 6, -1, -7, -6],\n [1, -6, -3, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -2, 5, 9, -10, -4],\n [9, 9, 4, 10, -3, -8],\n [6, 10, 8, 0, -2, 6],\n [6, -7, 1, -5, 9, 4]]\nB =\n[[6, -8, 2, 5, -9],\n [10, -4, 0, -5, -3],\n [10, 5, 2, -9, 3],\n [-8, 7, -9, 0, -6],\n [-8, 5, -10, -9, 9],\n [10, 2, -4, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, -1, -1, 2, -1],\n [1, 4, -8, -3, 10],\n [2, -5, -2, -4, 3],\n [0, 8, 8, -8, -9],\n [3, 1, 4, 9, 5]]\nB =\n[[3, 7, -10, -5],\n [-10, 9, -3, -7],\n [-4, -2, -9, -2],\n [9, 10, 3, -4],\n [-4, 7, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -9, 0, 4],\n [4, -6, 8, 3],\n [3, 3, -8, -10],\n [-3, 4, 9, -9],\n [-10, 10, 5, 5],\n [6, -2, -4, -1]]\nB =\n[[-5, -1, -1, -1, 1, 10],\n [-4, -9, 9, 0, 6, -10],\n [2, 1, 1, -6, 7, -1],\n [-4, -6, 5, 2, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1801", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -5, 6, -4],\n [10, -1, 5, -7],\n [9, -9, 9, -8],\n [-6, -6, -3, -6],\n [-9, -7, -8, -1],\n [-5, 2, -10, 7]]\nB =\n[[5, 5, 6, 3, -8, 2],\n [8, -6, -4, -2, -7, -4],\n [-8, 1, -10, -1, 5, 9],\n [9, 3, -6, 2, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2484", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 10, -4, -8, 7],\n [0, -5, 0, -2, 2],\n [-4, 3, -10, -10, -1],\n [7, -1, -1, 9, -8],\n [-7, 5, -3, 3, -4]]\nB =\n[[-9, 9, -9, 2],\n [-8, 4, 8, 6],\n [10, -8, 2, 0],\n [-9, 1, -7, -2],\n [-1, 5, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1253", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -9, -4, 7],\n [8, -7, 4, 9],\n [-9, 2, 7, 4],\n [-8, 7, 9, 7],\n [-9, 2, -10, 0],\n [3, 6, -6, 0]]\nB =\n[[-3, 10, 3, -10],\n [6, 5, -2, -9],\n [9, 5, -1, -8],\n [-10, 2, 6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -1, 4, 1, -5, 3],\n [-9, 10, -3, -3, -3, 5],\n [10, 4, -2, -1, -2, -10],\n [-9, -3, -9, 4, 9, 3],\n [-4, -1, -2, -1, -10, 3],\n [9, -5, -10, 2, 0, -8]]\nB =\n[[-7, 10, 8, -4],\n [-8, -8, -1, 5],\n [10, 9, 5, -7],\n [5, -6, 5, 9],\n [7, -8, -7, 9],\n [-9, -5, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2053", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -4, -3, 8, 5],\n [-9, 9, -3, 4, -5],\n [8, -6, 0, 6, 10],\n [6, 6, -6, 4, -10]]\nB =\n[[-9, -8, 9, 6, -7, -5],\n [0, -6, 7, -2, -9, -8],\n [2, -8, 6, -2, 1, 7],\n [-2, 3, 5, 9, -3, 9],\n [-8, 0, 5, 2, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, -3, -7, 5],\n [0, -1, -9, 1],\n [1, 7, 5, 5],\n [-2, -6, -6, 8]]\nB =\n[[-6, -2, 0, -5],\n [10, 8, 2, -1],\n [-7, -1, -7, 6],\n [1, 5, 10, -7]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, -6, -7, -7, 5],\n [2, 6, -7, 0, 2, 7],\n [-1, 10, 6, 4, 2, 5],\n [3, -9, 0, 8, -9, 4]]\nB =\n[[10, -1, 2, -5],\n [-9, 9, -7, -8],\n [8, 8, 0, -9],\n [8, 7, -1, 1],\n [-4, 8, 4, -10],\n [4, 1, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-136", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -6, 9, 4],\n [10, 9, -4, -6],\n [2, 8, -5, 8],\n [-3, 0, 9, 5],\n [-6, -9, 0, -5],\n [1, 4, 10, -1]]\nB =\n[[-6, -5, 4, 7, -6],\n [-9, -7, -2, -2, -5],\n [2, 3, -5, -6, -2],\n [-6, 6, 1, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-427", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -7, 0, -6],\n [-4, 6, 3, 4],\n [-10, -2, 2, -1],\n [3, 0, -3, 9]]\nB =\n[[4, 3, 1, -8, 1],\n [0, -3, 7, -3, 4],\n [9, -9, -2, -1, 3],\n [-9, -5, 7, 0, -5]]\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 product of the following matrices:\nA =\n[[-7, -1, 8, 2, -4],\n [-10, 10, 6, -6, -2],\n [-1, -1, 3, 0, 7],\n [9, -1, 2, 8, -1]]\nB =\n[[9, -4, 4, 0, -3, -5],\n [8, 8, 0, 6, 0, 6],\n [-10, -4, -3, -8, -3, 6],\n [-9, -9, 5, 0, 6, 4],\n [-1, -8, -6, 0, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -6, -5, -2, 9],\n [5, 3, -8, 8, -4],\n [4, 1, 9, 3, -9],\n [10, 6, 6, 5, -5],\n [-10, -8, 3, 3, 5],\n [-7, -6, 9, 1, 3]]\nB =\n[[-7, 9, -8, 6, 1],\n [-2, -3, 6, -3, 2],\n [9, -1, -6, 7, 0],\n [0, 9, -1, -6, 6],\n [-3, 6, -2, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "255", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[3, -7, -4, 0, 2, 1],\n [-1, 8, -1, -7, -3, 7],\n [-7, -4, 5, 6, -9, 1],\n [3, 9, 10, -10, -2, -3]]\nB =\n[[9, 6, 0, -1, -1],\n [-10, -3, -2, 3, 7],\n [-9, 5, 10, -9, -4],\n [2, 0, 7, 2, -3],\n [5, 5, 7, 8, -2],\n [4, 5, -8, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[3, 9, 5, -4, 2, -3],\n [-3, 10, -8, 6, -4, -8],\n [10, 6, -4, -6, 4, 9],\n [7, -6, 6, 3, -5, -8],\n [-8, 5, 4, -1, 0, 6]]\nB =\n[[9, 5, -5, 9],\n [-3, -9, 7, -2],\n [-4, -9, -9, 5],\n [3, 3, -3, -7],\n [-2, -8, -3, -9],\n [10, -3, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -10, -8, -10, -1],\n [-5, -3, 3, 9, 3],\n [10, 5, 5, -6, 5],\n [-3, -3, 4, -8, -2],\n [0, -8, 7, -7, 6],\n [-7, 0, -1, -3, -8]]\nB =\n[[8, 7, 8, -5, -5],\n [7, -4, 10, 4, 1],\n [-5, -1, -9, 7, -10],\n [-10, -3, -5, 7, -1],\n [3, -7, 0, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-426", "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, -6, -3, -7, -9],\n [-3, 6, 0, 4, -10],\n [-4, -6, 0, 1, 10],\n [-7, 10, -5, 7, -9]]\nB =\n[[-9, 9, -2, -7, 4],\n [7, -9, 1, -2, -8],\n [-1, 3, -2, 5, -3],\n [8, 9, 0, -4, 2],\n [-10, 1, -4, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1831", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[5, 2, -4, 7],\n [9, -4, 0, -4],\n [-4, -4, -1, -2],\n [7, -1, -9, -2],\n [-9, -5, 6, -10]]\nB =\n[[-10, 1, -7, 9, 7, 5],\n [-5, -10, -2, -8, 9, -8],\n [-3, 7, 8, 7, -4, -7],\n [-5, 8, 2, 7, 5, -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 product of the following matrices:\nA =\n[[2, 3, 2, 7, 4, 6],\n [8, -4, -2, -6, 9, 8],\n [-8, -9, -1, 3, 3, -6],\n [-9, 5, 9, -5, 0, 2],\n [8, -7, 0, -10, 9, 2],\n [-7, -1, 3, 6, 8, -4]]\nB =\n[[-5, -2, 9, 0],\n [-10, 6, 4, 2],\n [0, 7, -1, 1],\n [4, -5, -8, 0],\n [-8, 10, -4, -1],\n [3, 8, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, -2, -6, -7],\n [-6, 3, -7, 1],\n [7, 6, 7, 7],\n [3, -2, 9, 0]]\nB =\n[[10, -3, -7, 8],\n [2, 8, 3, -3],\n [-3, -3, 1, 1],\n [-4, -8, -9, -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 when matrix A is multiplied by matrix B?\nA =\n[[3, 0, 7, -7],\n [3, -3, 2, 8],\n [6, 2, 2, -6],\n [5, -6, -6, 0]]\nB =\n[[2, 2, 4, -2],\n [-1, 10, -7, 2],\n [5, -7, 5, 5],\n [-9, 0, -6, 9]]\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 (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[9, -5, -10, 7, -2],\n [-7, 3, -5, -6, -6],\n [5, 9, 8, 7, 0],\n [-1, 6, 7, 8, 10],\n [8, -7, -8, -6, -9],\n [-1, -1, -8, -1, 9]]\nB =\n[[5, -4, -10, 0, 3],\n [9, -8, -4, 2, -5],\n [-8, 8, 2, -5, -10],\n [10, 5, -3, -3, -2],\n [2, 7, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 0, 5, 7, 0, 1],\n [1, -1, 1, -10, -1, 1],\n [3, 7, 9, 2, 1, -10],\n [9, -10, 3, 4, -2, -4],\n [-7, 0, 1, 0, 0, -8],\n [10, -8, -8, 0, 7, -6]]\nB =\n[[0, 6, 0, 8, 8],\n [-1, 3, -2, -6, -5],\n [-7, 4, -1, -10, 0],\n [4, -7, -9, 10, -7],\n [-5, -8, -9, -7, 9],\n [1, 5, -7, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "353", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -7, -5, 2, -2, -7],\n [10, 3, -9, 3, -3, 0],\n [8, 1, 3, 10, 0, 0],\n [1, -2, 1, -5, -9, -4],\n [10, 9, -9, -4, 1, 4]]\nB =\n[[-4, -6, 8, -1],\n [8, -1, -2, 0],\n [2, 5, 8, 4],\n [8, -2, 6, -7],\n [-10, -4, 9, -4],\n [-3, -6, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-277", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 3, -7, 4, 2, 5],\n [-3, -9, 5, -9, -1, -10],\n [10, 3, -1, 4, -9, 4],\n [4, 4, 6, 1, 6, 5],\n [6, -2, 6, -8, 1, 10]]\nB =\n[[-8, 5, -10, -7],\n [-10, -3, 2, -2],\n [-3, 5, 9, 2],\n [7, -3, 2, -4],\n [1, -9, -8, 7],\n [6, -6, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-137", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 6, -8, -8, 0],\n [-8, -9, 3, 5, 5],\n [5, 8, 4, -1, -5],\n [-8, -2, -10, 7, 1],\n [-7, -6, 0, 2, -1]]\nB =\n[[9, 6, -10, -8, 8, 9],\n [-4, -9, 1, -6, -4, 8],\n [-4, -1, 3, -9, 6, -7],\n [6, 6, -5, 5, 8, 5],\n [0, 5, -8, -5, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1899", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 8, 1, -4, -9, -6],\n [-5, 7, -2, 1, -1, -10],\n [2, -7, -9, -1, 5, 2],\n [9, 5, 9, -8, 8, 0],\n [-6, -2, -3, -2, -4, -8]]\nB =\n[[-3, 6, -6, 1, -9],\n [10, 4, 10, 9, 3],\n [-9, -3, -8, 10, -2],\n [7, 4, -4, -9, 8],\n [2, -10, 2, 8, 4],\n [7, -1, -3, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -3, 3, 9],\n [-5, -3, 5, -10],\n [1, -9, 0, 2],\n [5, -1, 9, -5],\n [-1, 10, 2, -8]]\nB =\n[[-9, 7, -5, -5, -9],\n [6, -8, 7, -6, 4],\n [0, 8, -3, -5, 1],\n [-1, 4, -2, 2, 6]]\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, 4, 10, 8, 1],\n [-5, 6, 4, 3, -5],\n [6, 4, 1, -6, -9],\n [8, -5, 0, -7, 4],\n [2, 6, 4, -8, -2],\n [-1, -7, -5, -3, 7]]\nB =\n[[3, -6, -5, 9],\n [-4, -10, -8, 9],\n [0, -10, 4, -1],\n [10, -2, 7, -4],\n [-5, 8, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-381", "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, 5, 2, -5, -4],\n [-5, 4, -7, 1, 6],\n [10, -6, 3, 9, -8],\n [-7, 1, 4, -2, 7],\n [1, 8, 1, 6, -9]]\nB =\n[[-8, 5, 9, 1, 0, -7],\n [-2, -10, -10, -5, 6, 8],\n [1, -10, -5, -2, 1, 1],\n [-8, -9, 10, 5, 3, 10],\n [-1, 6, 5, -10, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2217", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -7, -4, -10, 3],\n [-6, 5, 5, 5, 8],\n [5, -9, 5, -3, 7],\n [-10, 10, 3, 1, 6],\n [-8, 10, 5, 8, 7]]\nB =\n[[10, 8, 8, -8],\n [4, -7, -4, 0],\n [6, -3, -4, -5],\n [-6, 7, -1, -7],\n [-3, -1, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1417", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-9, 9, -1, 8],\n [0, -7, 6, -7],\n [7, -4, 4, 3],\n [-5, -2, -10, 3],\n [7, -9, 7, -4]]\nB =\n[[-10, 2, -3, 6, 9, 7],\n [-10, 0, -1, -4, -1, -3],\n [-2, 7, -5, 3, 1, 8],\n [-3, -9, -4, 10, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[6, -9, 6, -5, 5, 8],\n [8, -3, 0, -8, 6, 2],\n [-4, 9, 2, -6, -8, -3],\n [4, -10, -2, 4, -5, 2],\n [6, 1, 6, -3, 1, -9],\n [8, 6, 1, 9, 4, -9]]\nB =\n[[-3, -6, -4, -6, -10],\n [-2, 6, 1, 3, -8],\n [-1, 5, 6, -5, -5],\n [1, -5, 8, -7, 5],\n [-3, 3, -8, 9, 6],\n [2, -8, -6, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-9, -9, 5, 0, -4, 4],\n [-6, -3, 6, 9, 7, -8],\n [-5, -7, 7, 7, 9, -4],\n [-5, -2, 9, 6, -10, -7],\n [-1, -5, -7, 0, 9, -8]]\nB =\n[[-3, 0, -4, 8, 9],\n [-8, 4, -8, -4, 6],\n [2, 3, 5, 1, 3],\n [7, -6, -1, 8, -10],\n [-6, 0, 4, -2, 9],\n [-6, 2, 8, 1, -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 (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, 1, -6],\n [7, 2, -9, 6],\n [-10, -5, -6, -8],\n [9, 4, 7, -9],\n [10, -8, 10, 4],\n [-8, -8, 5, 1]]\nB =\n[[-6, 4, -7, -2],\n [4, 6, -10, -10],\n [9, -8, 2, 0],\n [1, 7, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "100", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -7, 9, -5, -9],\n [9, -5, 9, 8, -3],\n [1, 3, -10, -1, 3],\n [-10, 9, -8, 2, -1],\n [-2, -6, -9, -6, -7],\n [-6, 7, -4, -9, 1]]\nB =\n[[4, -2, 7, 10, 5, 9],\n [-7, 6, 10, 0, 10, 2],\n [9, -4, 8, -3, 1, -8],\n [0, -9, -9, -2, -3, -5],\n [2, 7, -9, 7, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2738", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[-1, 8, 1, -9, -7],\n [10, -6, -2, 3, -10],\n [-8, -5, 4, -3, 7],\n [9, -2, -3, 10, 5]]\nB =\n[[-6, -1, 5, -5, 3, 0],\n [3, -5, 1, -1, -6, 7],\n [7, -5, 5, 5, 2, -6],\n [9, -9, -5, 9, -1, -9],\n [10, -5, 6, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -1, -6, 7],\n [2, -6, 0, 4],\n [7, -10, 7, 8],\n [-7, 9, -10, -4]]\nB =\n[[-1, 4, 1, -5, -7, 9],\n [-10, 6, -8, 3, 0, -3],\n [-10, 0, 10, -6, -4, 4],\n [3, 3, 5, 5, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "577", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -7, 1, 9, 4],\n [-10, -4, -10, 3, -7],\n [-1, -10, 2, 4, -3],\n [-10, 10, 10, 10, -3]]\nB =\n[[-1, 5, 7, 9, 5],\n [1, 0, 7, 9, -9],\n [5, 2, 9, 1, -8],\n [-4, -4, 5, 0, 3],\n [-3, 10, -4, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-620", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[9, -3, 1, -5, -6],\n [-8, 9, 3, 0, -2],\n [9, 8, -1, 10, -8],\n [10, -10, 9, -2, 7]]\nB =\n[[1, 7, -8, 2, -2, -4],\n [1, 0, -3, 9, -3, -8],\n [-7, -8, 0, 6, 4, 4],\n [-7, 1, -7, -6, 5, 6],\n [7, -7, 4, -10, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 3, 7, -6, 0, 9],\n [7, 9, 9, -9, -8, 4],\n [8, 2, -4, 10, 5, 3],\n [10, -3, -9, 10, 8, -5],\n [0, 7, 9, -5, 5, -6],\n [4, 2, -3, -7, 7, -8]]\nB =\n[[-6, 4, -2, 9, 0],\n [7, 0, 0, 4, 8],\n [-3, 10, 8, -4, 9],\n [-10, -10, -3, 3, 1],\n [9, 6, -7, -7, -3],\n [-5, 0, 0, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2803", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[7, 4, -2, -10],\n [-10, 0, 0, -4],\n [-10, 6, 5, -6],\n [-4, -8, 1, -10],\n [5, -7, -6, 1],\n [-1, -1, -2, 3]]\nB =\n[[-6, 4, 6, -2, 10, -2],\n [-10, -6, 0, 2, -6, -10],\n [8, 9, -4, -3, 10, -1],\n [-3, 1, 3, 5, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[1, -6, 7, 6, -5],\n [-8, 8, 1, 7, 10],\n [-9, -7, -4, 6, -4],\n [-1, 1, 6, 4, -6]]\nB =\n[[-1, 5, 9, -1, 4, 6],\n [5, 0, 9, 9, 5, -1],\n [6, 6, -8, 2, 10, 8],\n [10, -4, 1, 3, 0, 7],\n [-1, 6, 2, 9, 6, -4]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-6, -5, -7, 2, 1, 2],\n [-9, 6, 7, -8, 7, 8],\n [-9, -10, -5, 8, 4, -6],\n [-7, 2, 2, -9, 3, 10],\n [-3, -6, 5, -10, 6, -1],\n [6, 4, 0, -8, -9, -10]]\nB =\n[[-2, 4, 4, -1, -5, -1],\n [-2, -8, -8, 2, -6, 5],\n [4, 0, -3, -1, -1, 2],\n [0, -7, -9, 1, -10, 3],\n [-8, 2, -8, 9, 5, -5],\n [3, -9, 10, 4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "682", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -4, 4, 1],\n [-6, 0, -2, -7],\n [3, 6, -9, -6],\n [-2, -10, 9, 9],\n [2, 7, -5, -5]]\nB =\n[[-7, -7, 4, 5, -6, 1],\n [-9, -10, 10, 2, -7, 7],\n [2, -9, -9, -6, 8, -7],\n [-7, -10, 5, -4, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2244", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, 3, -1, -2, -9, -9],\n [-3, -3, -7, -10, -4, 8],\n [10, -4, -7, 0, 7, 7],\n [0, -10, 8, 1, -9, -2],\n [-8, 1, 5, -6, 10, 7],\n [-5, 2, -9, -2, -2, 0]]\nB =\n[[8, 0, 6, -3, 6, -6],\n [-1, -7, -2, -2, -7, -3],\n [-1, 0, -4, 7, 9, -2],\n [10, -2, 0, 5, 8, -9],\n [1, 6, 10, 3, 2, 7],\n [4, -9, -4, -10, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -2, 5, -2, 3],\n [-8, -5, 5, 8, 0],\n [-6, -6, -2, -6, 9],\n [4, 8, 1, -2, 1]]\nB =\n[[-4, -1, 7, 8, 3],\n [-8, -6, 9, 6, 5],\n [-7, -9, -7, -4, 9],\n [-6, 4, 5, 5, 6],\n [-6, -6, 10, 7, 2]]\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 product of the following matrices:\nA =\n[[7, -1, 8, 9, -1],\n [-8, -7, 3, 8, -6],\n [-4, 10, 0, 2, 9],\n [1, -6, -10, -7, 8],\n [2, 9, -8, 8, -4],\n [8, 7, 9, 3, -2]]\nB =\n[[-9, 4, -6, -2],\n [7, 3, 6, -5],\n [3, -6, 2, -8],\n [-9, 9, -9, 5],\n [-3, -10, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 2, -1, 10],\n [-7, -4, 4, -5],\n [1, 10, -2, 4],\n [-10, -6, -9, 5],\n [-4, -8, 7, 8],\n [0, 1, 1, -9]]\nB =\n[[-6, -1, 9, 1, -9],\n [-1, -8, -7, 8, 6],\n [6, 9, -4, 3, -10],\n [2, 6, 3, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "295", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -10, -4, -9],\n [-5, -7, 8, -6],\n [-2, -8, -7, -2],\n [1, 2, 8, 6]]\nB =\n[[-8, 9, -2, -8],\n [-5, -5, 0, -10],\n [7, 0, -3, 10],\n [6, 2, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "711", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -2, 7, 10, 1],\n [-6, -5, 4, -1, 3],\n [9, -7, -5, 7, -4],\n [3, 5, 10, 3, -2]]\nB =\n[[2, 3, 5, 3, 2],\n [-4, 2, -2, 9, 1],\n [4, 8, 7, -8, 4],\n [7, -10, -2, -2, -3],\n [-3, -9, -1, -6, -8]]\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 (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[0, 9, -7, -10, -4],\n [-10, -6, -2, -9, 6],\n [-10, 8, -3, -4, 7],\n [-5, 5, -4, 2, 3],\n [-6, 7, 5, -8, 5]]\nB =\n[[-10, 4, -10, 0],\n [2, -7, -5, 10],\n [-9, 6, 4, -2],\n [-9, 8, -1, -9],\n [7, -6, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 9, -2, -4, -4],\n [9, -3, -5, 1, -6],\n [-3, 5, 6, 2, -10],\n [-10, -10, 10, 10, -5],\n [-10, 1, -8, -3, -4],\n [-4, -8, 4, 6, -8]]\nB =\n[[-6, -9, -10, 0, 7],\n [4, -3, -6, -6, -3],\n [-9, -6, 0, 5, 3],\n [-5, 3, 3, -8, 0],\n [5, 3, -10, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2142", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[9, -4, 2, -7],\n [9, 8, 10, 0],\n [-3, -9, 9, 2],\n [6, 10, -5, 2],\n [-9, -6, 4, 5],\n [-5, -1, 6, 4]]\nB =\n[[5, 1, -3, -6],\n [6, 4, -3, -3],\n [-9, -4, 10, 0],\n [-4, -1, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 7, 5, -6, 4, -9],\n [10, -3, 10, -1, 2, -9],\n [-3, -8, 3, 10, -9, -2],\n [6, 4, 2, -3, 7, -4],\n [-8, -7, 10, 0, 5, 4],\n [-1, 9, 8, 5, -10, 10]]\nB =\n[[-10, 1, -5, 10, -7],\n [9, -9, 4, 3, -1],\n [1, -6, -4, -1, -9],\n [1, 3, 1, -2, -3],\n [5, -9, 9, -9, -9],\n [3, 1, 6, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-800", "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, 6, 7, -10, 2],\n [5, 6, 0, -2, 2],\n [3, -2, 8, 5, -3],\n [-2, -8, 10, -8, 7],\n [-2, -3, -6, 7, 0],\n [-10, -1, 10, 7, -1]]\nB =\n[[4, 6, 8, 10, 7, 9],\n [10, -3, -4, 2, 10, 9],\n [2, 2, -6, 6, -7, 4],\n [2, 7, -5, -8, -6, -8],\n [1, -8, -10, 2, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2938", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 2, 5, 2, 7, 4],\n [-8, 2, -2, -2, -3, 0],\n [5, -6, 10, 0, -9, 5],\n [-9, -6, -8, 9, -4, 1],\n [0, 1, -2, 3, 7, -1]]\nB =\n[[-10, 4, 3, 7],\n [-5, 6, -1, 10],\n [7, 3, -10, -2],\n [4, 4, 2, 6],\n [-7, -6, -8, 4],\n [7, 10, -8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "251", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, -9, 2, 6],\n [-10, -8, -1, 8],\n [-10, -10, -7, 5],\n [3, -8, 3, -8]]\nB =\n[[1, -10, 10, 9],\n [3, -7, 7, 10],\n [-8, 6, 7, -9],\n [-6, 6, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -4, 9, 10],\n [0, -1, -7, 2],\n [-9, -6, 9, 0],\n [-7, -5, -10, 0]]\nB =\n[[-6, -9, -6, 5, 5],\n [2, 3, 9, 7, -4],\n [8, -9, 7, -4, -4],\n [4, 5, -7, 3, -6]]\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 product of the following matrices:\nA =\n[[9, 1, 10, 1],\n [-5, -9, 1, -2],\n [4, -9, -3, 9],\n [-8, 7, -10, 10]]\nB =\n[[6, 1, -7, 10, -3, 7],\n [10, -3, 8, -3, 9, -5],\n [-7, -7, 5, 6, -4, 2],\n [8, 5, -4, 7, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-1, 6, -10, -5, 1],\n [-10, -2, -8, 0, -6],\n [-5, 6, 2, 10, 8],\n [-1, -6, 7, 6, 9]]\nB =\n[[1, -7, -1, 3, -7],\n [3, 6, -9, 4, 6],\n [2, 2, 8, 5, 6],\n [1, 7, -8, -2, 3],\n [2, 2, -7, -6, 7]]\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 (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[6, -3, -8, 6, -10, -8],\n [3, -2, -7, 3, 4, 8],\n [-8, 1, 10, -3, -9, -10],\n [7, 4, 2, 1, -7, -3],\n [-6, 10, 6, 7, 6, 1],\n [8, -3, 4, 1, 1, -5]]\nB =\n[[10, 10, -9, 5, -3],\n [1, 0, -10, -2, 9],\n [7, 9, 9, 5, -1],\n [-9, -7, 7, 9, 9],\n [-4, 6, -10, 8, 6],\n [8, 8, 5, 8, 0]]\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, 5) of the product of the following matrices:\nA =\n[[1, -7, 0, 6, 9],\n [0, 0, -1, 9, 3],\n [0, 6, -9, -8, 1],\n [-10, -6, 9, 4, -3],\n [-8, -2, -4, 4, -7],\n [2, 1, 0, -6, -2]]\nB =\n[[1, 6, 9, 9, 5, 6],\n [-4, 1, 6, 4, 2, -4],\n [-2, 4, 0, -10, -6, -6],\n [10, 1, -6, -7, 3, -2],\n [-9, 1, 4, -5, -9, -1]]\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, 6) when matrix A is multiplied by matrix B?\nA =\n[[-8, 6, 6, -8],\n [2, -2, -2, -2],\n [-8, 3, 10, 10],\n [-1, 5, -4, 1],\n [-4, -3, 4, 3],\n [-5, 5, 1, -9]]\nB =\n[[0, 10, -8, 9, -7, 5],\n [-2, -2, -8, 1, -3, -4],\n [1, 5, 6, -1, 9, 1],\n [10, 4, 0, 0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 2) when matrix A is multiplied by matrix B?\nA =\n[[9, -4, -10, -2, -1],\n [8, 1, -5, -5, -8],\n [8, -4, -5, 2, 6],\n [0, 10, 7, 2, 2],\n [-5, -8, 4, -8, 0]]\nB =\n[[-5, -4, 4, -7],\n [6, -3, 1, 10],\n [2, -8, 2, 0],\n [10, -3, -10, -8],\n [7, 8, 2, 10]]\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 product of the following matrices:\nA =\n[[-4, -4, -1, 4],\n [-4, -7, -7, 4],\n [10, -1, -4, 10],\n [0, 0, 10, 10]]\nB =\n[[-10, -4, 8, -3, -5],\n [9, -2, 5, -1, 0],\n [-9, 6, 5, -4, -5],\n [-2, 1, -8, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1070", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 3, 10, -2, 3],\n [-1, -7, 7, 5, -8],\n [10, -7, 6, -4, 9],\n [-8, -2, -5, 1, 6]]\nB =\n[[-5, 2, 10, -7, -5],\n [-6, 2, 4, 7, -2],\n [-7, 1, -6, 2, -6],\n [4, -7, -4, 4, -3],\n [10, 3, -2, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-243", "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, 4, 10, -9, 9, -7],\n [-3, -6, -8, 4, -8, 4],\n [-9, 4, 9, 8, -8, 2],\n [-4, -3, -5, -1, 8, -4],\n [-6, 8, 4, 0, 10, 9],\n [-7, -1, -10, 5, 6, 4]]\nB =\n[[-3, 10, 2, 10],\n [0, -3, 4, 9],\n [6, -4, 3, -6],\n [-7, 5, -7, -6],\n [-8, 9, 3, 1],\n [8, 8, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1651", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, -4, 5, -5, 0],\n [-5, -5, 3, 2, -7],\n [9, 9, -10, -4, -9],\n [-2, -8, 3, 0, 5],\n [6, -2, 8, -4, 8],\n [-3, -6, 1, -3, 4]]\nB =\n[[-7, 10, 10, 0, 5, 9],\n [-10, 4, 5, 5, 6, 3],\n [4, 6, 7, -10, 1, 10],\n [-5, -6, 7, -2, -10, 1],\n [-5, -6, -6, 5, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 7, -2, 8, -10],\n [3, -10, 10, 9, -8],\n [-9, 8, -7, -7, -1],\n [0, 0, 1, -6, 10],\n [1, 0, 9, -9, -1]]\nB =\n[[6, 8, -8, -2, 7, 6],\n [3, 9, -9, -10, -10, -9],\n [-10, -7, -10, 10, 6, -1],\n [-7, 1, 6, 9, -2, 9],\n [4, -1, -8, 7, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-510", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, -7, 2, 9, 10, -5],\n [-1, -5, -2, 7, 6, 6],\n [0, 8, -8, 4, -2, 6],\n [-10, 8, -6, -4, 5, -8],\n [8, 8, -10, 0, 1, 5],\n [-5, -10, 10, -5, -8, 10]]\nB =\n[[6, 5, 8, 1, -1, -10],\n [-2, 7, 4, -7, 3, -8],\n [-1, -5, 1, 9, -2, 5],\n [10, 4, 6, 9, 3, 7],\n [-5, 3, 2, 3, -10, 0],\n [4, -2, 2, 3, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -7, 5, 8, -4, 0],\n [-6, -7, -3, -1, -1, -2],\n [2, 7, -9, -7, 0, -4],\n [-2, -5, 0, -1, -2, 9],\n [6, -8, -10, -9, -3, 3]]\nB =\n[[-9, 6, -3, 9, -5, -8],\n [-7, -6, -7, -7, -10, 1],\n [8, 6, -7, 1, 9, -6],\n [1, -2, -8, -7, -6, 7],\n [-1, 3, 5, -10, -10, -6],\n [-10, -3, -5, 7, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2083", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, -8, 3, -6],\n [-3, -1, -6, 7, -2],\n [-5, -5, 1, 5, 3],\n [4, 10, -9, -3, -10],\n [-10, -9, 8, 3, 10]]\nB =\n[[-10, -3, 5, 6, -6],\n [-4, 1, -9, 6, -5],\n [-10, -7, -4, 6, -9],\n [4, -8, 9, 10, -8],\n [-3, 0, -3, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[8, -3, 8, 0, -7, 7],\n [-6, 10, -10, 6, -6, -5],\n [-8, 6, 6, 6, 5, 3],\n [-3, 5, 10, 7, 1, 3],\n [-3, -5, 10, -1, -6, -6]]\nB =\n[[-1, -10, 4, 4],\n [-8, -4, -6, -4],\n [4, -2, -6, 3],\n [-3, 5, 0, -2],\n [-10, 2, -10, 3],\n [1, 4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 6, 5, -2, 6, 10],\n [5, 3, -1, -7, 1, 5],\n [-6, 10, -7, 8, -10, -1],\n [-7, 6, 4, -5, -4, -6]]\nB =\n[[-1, 8, 4, 7, 6, -6],\n [8, 2, 9, -8, -10, 5],\n [6, -10, -4, -4, 3, -6],\n [5, 6, -10, -8, 7, -2],\n [1, 7, -3, -8, 8, -8],\n [0, 5, -9, -10, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-262", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -6, 1, -9, -2],\n [-2, 1, 0, 3, -8],\n [-3, -7, -2, 0, -4],\n [5, -4, 5, 7, 7]]\nB =\n[[-10, 9, 6, -4],\n [-1, -5, -8, -6],\n [5, -6, 4, 10],\n [2, -7, -8, 10],\n [-5, 8, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1061", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -6, 2, -3, -2, -4],\n [-9, -7, -10, -10, -2, 1],\n [10, 6, -10, 7, -1, 6],\n [-4, -5, 3, 2, 4, 7],\n [7, -6, -6, -4, -1, -6]]\nB =\n[[2, 8, -1, -4],\n [-5, -6, 6, 5],\n [8, 6, 7, -1],\n [-8, -10, -5, 9],\n [5, 2, -3, 1],\n [-2, -10, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1255", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 6, 6, 7, -10, -5],\n [-5, 3, -3, 2, 10, 2],\n [-5, 0, -3, 8, -10, -2],\n [2, -4, 7, 9, -9, -10]]\nB =\n[[-6, -7, 4, -9],\n [2, 5, 7, 8],\n [8, 3, 4, -6],\n [-3, 7, -8, 1],\n [4, 0, 10, 2],\n [2, 3, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-371", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 5, -5, 5],\n [-6, 9, 8, -6],\n [5, -4, 6, 6],\n [1, 10, 2, -10]]\nB =\n[[6, 5, -5, -1, 5, -2],\n [2, -2, 0, -6, 10, 8],\n [0, -3, 7, -10, -1, -1],\n [0, 8, 4, 1, 10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1273", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -3, 7, 8],\n [-6, 7, 6, 0],\n [-3, -8, 10, -2],\n [8, 4, 4, -3]]\nB =\n[[-1, 10, 0, -5, -8, 5],\n [4, 6, 3, 9, 0, 1],\n [1, -10, -8, 9, -10, 3],\n [9, -5, -3, -10, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1632", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 8, 0, 8, 9],\n [9, -9, 0, -7, 3],\n [4, -4, -10, 7, 4],\n [0, -10, -4, 8, -5]]\nB =\n[[-6, -4, 10, 10],\n [8, 2, 7, 9],\n [-9, -9, 4, 0],\n [-4, 6, 7, 0],\n [-9, 6, 10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[9, 10, 8, -6, -5, 6],\n [1, 3, -1, -7, 6, 10],\n [-8, -2, 0, -2, -9, 9],\n [-8, 2, 8, 7, -3, -9],\n [7, -1, 10, 4, -6, 7]]\nB =\n[[10, -9, -2, 4, 9, 6],\n [2, 7, 3, -2, 2, -5],\n [-4, 2, 10, 1, 4, 10],\n [-1, -4, -4, -7, -9, 7],\n [-5, 9, -4, -5, -4, 7],\n [-10, 0, -4, 4, 0, 6]]\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, 5) of the product of the following matrices:\nA =\n[[9, 9, 2, -7, -10, -8],\n [-9, 1, 1, -9, 5, 4],\n [-1, -6, 4, -9, -9, -7],\n [4, -8, 1, 7, -6, 9]]\nB =\n[[-8, 10, -9, 0, 6],\n [-7, -10, 4, 5, -6],\n [5, 10, 10, -4, -8],\n [-10, -3, 7, 6, -10],\n [7, 2, 2, -2, -8],\n [6, -1, -6, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 0, -1, -9],\n [-10, -1, 7, 0],\n [-2, -3, 9, -6],\n [-3, -9, 7, -8],\n [7, -8, 3, 8],\n [8, -8, 8, 4]]\nB =\n[[10, 10, -4, -2],\n [2, -8, 0, -2],\n [-10, 3, 8, 9],\n [9, 7, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "511", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 10, 7, 5, -1, -8],\n [9, 3, 1, 10, 6, -6],\n [-6, -4, 6, -9, 6, -6],\n [10, 0, -8, 4, -5, -3],\n [2, 10, -10, 5, -3, 1],\n [3, -4, -9, 5, 7, 6]]\nB =\n[[0, 3, -5, -9, -3],\n [8, 2, 10, -2, 3],\n [5, -6, -2, 8, -4],\n [-5, 3, -5, -7, 3],\n [4, 8, -9, -10, -4],\n [-8, -9, -6, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "274", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -4, -8, -6, 10, -7],\n [2, 10, 1, 7, 3, -7],\n [6, 6, -4, -10, 4, 9],\n [5, -3, -2, -5, -4, -10],\n [0, 8, 0, 1, -7, -5]]\nB =\n[[6, 6, 0, 7, 3],\n [-1, 3, -10, -10, -2],\n [-8, 10, 6, -10, -8],\n [-2, -9, 4, 9, 6],\n [0, -7, 0, 0, 10],\n [-1, 3, 6, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-286", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 6, -5, 10, 0, 7],\n [8, 4, -10, -4, 6, -3],\n [-3, -9, 7, -10, -6, 10],\n [-10, -6, 1, 8, -9, -9]]\nB =\n[[2, 0, 1, 4, 1],\n [-9, 4, 8, 3, 0],\n [8, 8, 9, -7, -4],\n [-5, -2, 4, -9, -7],\n [8, 0, -10, 2, 0],\n [-9, -4, 6, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1273", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -1, 8, 8, 3, -5],\n [-2, 1, 8, -4, 5, 7],\n [2, 6, 5, 5, 8, -3],\n [-2, 1, -1, -7, 9, -5]]\nB =\n[[1, -5, -1, -6, -9, 10],\n [0, -5, -8, -4, 9, 3],\n [1, 7, -7, -8, 0, -4],\n [-10, -5, -4, 3, 9, 3],\n [-8, 8, -6, 9, 1, 2],\n [-2, -2, -5, -1, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "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, 9, -4, -7],\n [-10, 5, 10, -8],\n [-9, -7, 10, -3],\n [2, -3, -2, -8],\n [-6, 0, 5, 1]]\nB =\n[[5, 7, -4, -7, -8],\n [-3, 7, -2, 5, -1],\n [1, 2, -5, -1, -7],\n [-10, -1, 4, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1029", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, 0, -6, 3, 0, -5],\n [5, 4, 9, 5, -4, 7],\n [4, -10, -4, -3, -2, -4],\n [3, -5, 5, 3, 6, -8],\n [6, -8, 3, 6, 9, 2]]\nB =\n[[-2, 8, 5, 7],\n [1, 10, 3, 1],\n [4, 0, -8, -6],\n [-9, 5, 9, -2],\n [9, -8, -10, 0],\n [7, -6, -7, -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 absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 7, 4, 6, -7],\n [-7, 6, 8, 0, 10],\n [-1, 4, 9, -4, 5],\n [-4, -5, 4, 7, 7],\n [-3, -1, -2, 4, 0],\n [-10, 7, -7, -4, 2]]\nB =\n[[-4, -10, -6, -4, 2],\n [9, -7, -9, -7, -4],\n [-7, 10, 3, 5, 8],\n [-10, 2, -9, -3, 9],\n [-6, 1, -10, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1544", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 9, 0, 4, -1],\n [-7, 1, -5, -3, 6],\n [-7, -10, -4, -9, -9],\n [-3, -2, 9, 3, -3],\n [-6, 8, 6, 1, 2],\n [4, 5, -5, -1, 8]]\nB =\n[[1, -6, -6, -2, -6],\n [-10, -7, -10, 5, 10],\n [-10, -1, 9, -7, -4],\n [3, -4, 1, 2, 6],\n [1, -9, 4, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2353", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -1, 4, -3, -4, 2],\n [0, 9, -5, -2, -2, -2],\n [-9, 9, -1, 1, 7, 10],\n [-2, -3, -3, 0, -9, 6]]\nB =\n[[3, 6, -6, 8, -10, 4],\n [8, 4, 2, -4, -9, -1],\n [1, 9, 7, -9, -6, 6],\n [7, -6, 1, 10, 7, -5],\n [2, 6, 5, -8, -3, 5],\n [10, 5, -1, 0, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1219", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 5, 3, -4],\n [4, 0, -1, -8],\n [5, -3, 9, -3],\n [10, -2, -5, 3],\n [3, 10, 1, 10]]\nB =\n[[-8, 5, 5, 2, -5, -4],\n [10, -9, -10, 2, -2, 7],\n [6, -1, 10, -3, -3, 3],\n [7, -2, 3, -1, -8, -6]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-9, 0, 3, -1],\n [4, 7, -6, 1],\n [-2, -8, 4, 10],\n [-5, -6, 10, 4],\n [-9, -3, -1, -5]]\nB =\n[[0, -9, 1, 7],\n [-5, -1, -4, -2],\n [-6, -6, 7, -6],\n [2, 2, 2, 1]]\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 product of the following matrices:\nA =\n[[0, 5, 6, 2],\n [-4, 3, -4, -9],\n [10, -4, -5, -6],\n [-5, -1, 6, -9],\n [-2, -4, 6, -9]]\nB =\n[[-3, 8, -10, -5],\n [0, 6, 10, 3],\n [-8, -7, 9, -6],\n [-9, -6, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1271", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[0, -7, -5, 6, 9],\n [5, -2, 4, -9, -7],\n [0, -5, -5, 7, -10],\n [-7, -10, 1, -8, 3],\n [-10, -5, -1, 5, 7]]\nB =\n[[-3, 1, 5, 7],\n [8, -4, -4, 4],\n [-10, 6, 1, 10],\n [-10, -3, -9, 0],\n [-9, -2, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, 1, 8, -6, 1],\n [-5, 0, -9, 4, 4],\n [1, -8, 8, 4, 9],\n [1, 10, 5, -10, -8]]\nB =\n[[-3, -2, 2, -3, -2],\n [9, 7, -9, 2, 3],\n [2, -4, 2, -6, 2],\n [1, -8, 0, -10, 1],\n [2, -5, -8, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -8, 5, -4, -7],\n [7, 2, -7, -9, -3],\n [-5, 9, -8, -7, 1],\n [6, 7, -10, -7, 2],\n [-6, 1, 4, -7, -2]]\nB =\n[[8, -1, 9, 2],\n [-5, 3, -6, -1],\n [7, 10, -7, -6],\n [3, 8, 1, -5],\n [-6, 5, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-221", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[7, 3, 4, 0, 3],\n [2, 2, 7, -6, -3],\n [3, -4, -10, -6, 2],\n [-1, -3, -1, -6, 10]]\nB =\n[[-10, -5, -6, 9],\n [5, -1, 2, -1],\n [2, 2, 0, 1],\n [-10, 6, 10, 5],\n [6, 6, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[1, 1, 0, 1, 3],\n [-2, -1, -9, -3, -8],\n [-10, 9, 1, -4, 4],\n [-3, 0, -6, 7, 7]]\nB =\n[[4, 4, 5, 8, 7, 3],\n [-7, -6, 5, -3, 7, 9],\n [-4, -9, 9, -3, -2, -5],\n [-9, -5, -6, 0, -6, 6],\n [0, -2, -5, -2, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-8, 4, 0, 10, -2],\n [7, -6, 2, -1, -4],\n [1, 6, -4, 1, -9],\n [6, 2, -8, 1, 6],\n [7, 5, 7, 3, 9],\n [10, -4, 3, -3, 6]]\nB =\n[[-5, 3, 1, 10, 7, -3],\n [-3, -2, 2, 7, -8, -6],\n [-3, -2, 5, 2, 7, 5],\n [7, 8, 5, -2, -8, -7],\n [-6, 3, -4, 9, -2, -9]]\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 product of the following matrices:\nA =\n[[-5, 3, 2, -8],\n [7, 3, -4, -6],\n [2, -7, 10, 10],\n [-9, -3, 9, 7],\n [-10, 9, -9, 10],\n [7, -10, -2, 3]]\nB =\n[[9, 10, -8, -9, 0],\n [-4, 3, 0, 2, -2],\n [-10, -9, -4, -8, 5],\n [9, -9, 1, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -4, -2, -6, -2, -2],\n [-7, 7, -10, 2, 5, 9],\n [7, -9, -2, -5, 0, -6],\n [-1, -10, 5, 8, 1, 0],\n [0, 5, -7, 10, 3, -9]]\nB =\n[[-3, 5, 4, 7, -10, -3],\n [-10, 8, 8, -8, 3, -4],\n [-6, 8, 3, -2, 10, 8],\n [-10, 5, 7, -5, -1, 7],\n [5, 10, -5, -10, -3, 7],\n [-7, 3, 4, 6, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-216", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 4, 7, -3, -2],\n [4, -3, 5, 7, 7],\n [-2, -1, 1, -9, 8],\n [-8, -4, 5, -9, -6]]\nB =\n[[8, 9, 10, 5],\n [8, 1, -3, 6],\n [8, 5, 2, 0],\n [-5, -5, 4, -9],\n [-7, 7, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "558", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[2, -6, -9, -2, -8, 1],\n [-3, -9, 10, -9, 3, -7],\n [-4, -4, 7, -1, -10, 2],\n [-8, -10, -7, -2, -10, -2],\n [10, 0, -10, -7, 9, -5],\n [-2, -3, -1, 4, -4, 9]]\nB =\n[[-10, 7, -3, 0],\n [-5, -3, 5, -9],\n [9, -6, -1, -8],\n [-3, -4, -1, 9],\n [1, -3, -2, 6],\n [10, -8, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 7, 1, 2],\n [9, -8, -10, -10],\n [-8, -10, 6, -4],\n [9, 7, 7, -9],\n [-4, 6, 7, 3]]\nB =\n[[-3, 9, -7, 10, -8],\n [5, 7, 1, 4, 1],\n [-3, 4, 6, -10, 2],\n [2, 0, -4, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -7, 8, 6],\n [9, -7, 9, -4],\n [4, 3, 9, 10],\n [-4, 5, 0, 9],\n [9, -6, -8, 5],\n [3, 6, -8, 10]]\nB =\n[[4, -2, 3, -4, -10],\n [5, -5, 3, 1, 0],\n [-3, 9, -6, 0, -10],\n [7, -2, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-304", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 4, 10, 8],\n [-6, 7, 9, -2],\n [-8, -6, 8, -7],\n [-9, -5, 4, -2],\n [-6, -1, -4, -9],\n [-6, -2, 8, -4]]\nB =\n[[-5, 1, -10, -4],\n [8, 10, 8, -6],\n [9, -7, 2, 0],\n [6, 3, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "836", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, -1, -5, 8],\n [7, -5, -8, -1],\n [2, -10, -2, 4],\n [8, 7, -2, 7],\n [-7, 8, -7, -10]]\nB =\n[[3, -7, 0, 9, -5],\n [-8, 0, -8, -9, -3],\n [0, -4, 7, 3, 9],\n [-2, -5, -10, -4, -4]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-1, -8, 2, -10, 7, 3],\n [-9, 6, 8, 4, -4, 1],\n [-5, 2, -2, 5, 1, 0],\n [-8, -8, 7, -9, 3, 1]]\nB =\n[[-8, 4, -7, 1],\n [-4, -5, 5, -3],\n [10, -5, 9, -9],\n [10, 2, -7, 0],\n [5, 5, 1, 10],\n [-8, 2, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "438", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -8, -3, 10, 9, -5],\n [-1, 2, 8, 6, -2, -10],\n [-8, -1, 7, -4, 0, 0],\n [0, 1, 0, 5, 4, -3],\n [-9, 2, -3, 2, 2, 7]]\nB =\n[[9, -10, -4, 9],\n [3, 9, 4, 5],\n [9, -9, -1, -8],\n [-4, 3, -1, 0],\n [-9, 6, -4, -5],\n [1, 10, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-541", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -10, -5, 3],\n [10, 7, -9, -2],\n [7, 2, 3, -7],\n [0, 1, -3, 5]]\nB =\n[[2, 9, 9, -1, -8, 7],\n [-4, 6, 10, -3, -5, -3],\n [-9, 0, -2, -1, 1, 2],\n [5, -9, -2, 1, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1781", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -1, -9, 0],\n [6, -1, 1, 3],\n [4, -8, 0, 4],\n [8, 5, -2, 0],\n [-8, 10, 5, 7],\n [-3, -6, 6, 5]]\nB =\n[[2, 5, -5, -2],\n [6, 0, -1, 0],\n [10, 3, 10, 5],\n [7, -4, -9, 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 when matrix A is multiplied by matrix B?\nA =\n[[-8, -7, -2, -10, -4],\n [-7, -3, -6, 1, -10],\n [2, -2, 7, 1, -1],\n [2, -1, 6, -8, -1]]\nB =\n[[-1, 8, 2, 4, 10],\n [6, 4, -6, 5, -1],\n [0, 3, -9, 6, 0],\n [-4, 6, -7, -2, -6],\n [-8, 2, 7, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-213", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[7, -4, -10, -4, -1, -9],\n [-6, -1, 3, -3, -9, 0],\n [7, -7, 10, -5, -6, -7],\n [-2, 9, 2, -2, 0, 6]]\nB =\n[[6, 1, 4, 4],\n [10, -4, -2, -4],\n [6, -3, 3, 2],\n [1, -4, 4, -4],\n [8, 9, -2, 6],\n [7, 2, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[8, 9, -9, -1],\n [4, -4, -6, -9],\n [8, -8, -10, 8],\n [-6, -9, 3, 10],\n [4, -4, -7, -7]]\nB =\n[[9, -7, 0, -9],\n [8, -6, -8, 4],\n [3, 4, 7, 7],\n [-2, 8, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -9, -5, 5, 8, 4],\n [-3, -4, 10, -9, -1, 0],\n [-8, -5, 7, 4, 1, -9],\n [0, 5, 9, 1, 5, -2],\n [-1, 3, -4, -7, 0, -3],\n [9, -6, 10, -2, -1, 6]]\nB =\n[[5, -8, -2, 0],\n [0, -8, 3, -8],\n [-6, -8, 8, -1],\n [-5, 4, 8, -5],\n [10, 1, 4, -3],\n [-4, 7, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -2, -5, 5],\n [-1, 0, 9, -8],\n [-6, -1, 10, -2],\n [2, 0, -3, 7],\n [-1, -1, 8, -6],\n [-6, 9, 3, 7]]\nB =\n[[-4, -6, -7, 1],\n [10, -4, -9, 4],\n [-7, -8, -5, -4],\n [1, -3, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1411", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 0, -3, 0, 6],\n [8, 1, -7, -5, -9],\n [-4, 4, -4, 0, -9],\n [-8, -9, 3, -3, -8],\n [-5, -9, 1, -7, 10]]\nB =\n[[8, 6, -9, 1, 1],\n [9, 0, -6, 9, -1],\n [8, -1, 2, -6, 9],\n [2, 3, 1, -5, 7],\n [-7, 7, -2, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, 1, -3, -9, -3, -7],\n [1, -7, -5, 8, 4, 7],\n [2, 2, -5, -3, 6, 7],\n [-1, 2, 7, 5, 2, -8],\n [-7, 1, 4, 7, 7, -5]]\nB =\n[[-3, 0, 10, 5, -2],\n [-6, 8, 4, 8, 3],\n [-6, -5, -5, 3, -10],\n [7, -2, 6, 1, 5],\n [8, -6, -5, -4, 2],\n [5, 5, 0, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 5, 1, -10],\n [6, 10, 2, -6],\n [-9, -7, 0, 3],\n [-10, -9, -1, -8],\n [-8, -1, -1, 7]]\nB =\n[[9, -1, 8, 5, 10],\n [9, 4, 9, 9, -8],\n [3, 8, -7, 5, -4],\n [-9, -4, -1, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-423", "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, 8, -9, 6, -8, 5],\n [-3, 5, 1, -7, -8, -1],\n [3, 3, 5, 10, -2, 4],\n [-5, 7, -1, -1, -5, 8],\n [-10, 10, -5, -6, -7, -9],\n [2, 1, 2, -5, 10, 1]]\nB =\n[[-5, -7, -2, -7],\n [10, 7, -2, -9],\n [-3, -10, 1, 5],\n [-6, -5, 5, -2],\n [9, -4, -2, 1],\n [3, -5, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2027", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-5, -1, -5, 10, 9, -9],\n [7, -1, -2, -9, 8, 1],\n [-7, -4, 2, -10, 8, 0],\n [-7, 2, -7, 4, 1, -9],\n [3, 3, -7, -6, 2, 7]]\nB =\n[[-1, 2, 0, 10],\n [-3, -7, 3, 2],\n [-5, 8, 4, 8],\n [2, -5, 7, 8],\n [10, 9, 8, 8],\n [-10, 1, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 4, 6, 0, 9, -7],\n [4, 2, 2, 4, 10, -3],\n [0, -5, -6, 2, -8, -9],\n [-2, 10, -1, -9, 0, 8],\n [-3, -4, -6, 10, 7, 9]]\nB =\n[[2, 10, 6, -2],\n [3, 4, -3, 4],\n [2, 4, 4, 3],\n [-3, 9, 4, 0],\n [-3, 3, 7, -4],\n [-7, 1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 2, -10, 3, -3, -7],\n [-6, -7, -9, -10, 7, -5],\n [-2, 3, 3, 6, -3, -5],\n [-8, -2, -6, 3, -9, -6],\n [10, -8, 1, -2, -6, -8],\n [-3, -1, -10, 6, -3, 8]]\nB =\n[[-3, 0, -1, 5, -4],\n [-1, 9, 4, 2, -1],\n [-10, 10, -9, -5, 7],\n [1, -3, 7, 8, 2],\n [-7, -4, 6, 4, 10],\n [-1, 9, 4, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-522", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, -1, 6, -1],\n [-8, 7, 10, 8],\n [9, 3, 3, 9],\n [-3, 9, 4, -4],\n [-3, -4, 3, -3],\n [-1, -10, -2, 2]]\nB =\n[[5, -5, -6, -1],\n [-8, -10, -10, -1],\n [-7, 6, 6, -8],\n [-2, 8, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1377", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-5, -8, -6, -4, 7, 9],\n [-4, -10, 6, -2, -9, -1],\n [-3, -5, -3, 5, 10, -1],\n [8, 10, 8, -10, -3, -6]]\nB =\n[[9, -5, 5, -3],\n [-3, 1, 5, -5],\n [5, 6, -6, 7],\n [5, 3, 2, -7],\n [-4, -5, 6, 5],\n [0, -2, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[-10, 4, 9, 10, 6, 5],\n [8, 0, -1, -9, -8, 10],\n [6, -2, -9, 3, -10, 8],\n [4, -1, 4, -3, -9, 6]]\nB =\n[[-6, -6, -9, -2, -5, -10],\n [-1, -4, -1, -5, -5, 4],\n [7, 1, 4, -4, 8, 4],\n [10, -8, -8, 0, 1, -8],\n [-8, 8, 2, 10, 9, 6],\n [-8, 6, -9, 10, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -5, -9, 1, -2],\n [10, 8, -10, -2, -5],\n [9, 7, 8, -3, 7],\n [7, 1, 2, 6, 4],\n [-8, -10, 7, 7, -7]]\nB =\n[[-2, 8, -5, -6, -9, 1],\n [8, 4, -4, -2, 7, -8],\n [-2, 4, 5, 2, 5, -9],\n [-4, -8, 1, -7, 10, 7],\n [0, 1, 7, -8, 9, 0]]\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) when matrix A is multiplied by matrix B?\nA =\n[[-1, -2, 9, 2, -1, 1],\n [4, 1, 0, 0, -1, 10],\n [-10, -8, 1, 0, 5, 3],\n [-9, 6, -9, -3, 2, -5],\n [6, 5, 4, 2, 10, 0]]\nB =\n[[7, -7, -4, -8, 7],\n [-5, -10, 5, -5, -4],\n [8, 6, 4, -2, -10],\n [-8, 8, 6, 0, -1],\n [-6, -2, -7, 10, -3],\n [0, 1, -5, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, -3, 9, 5],\n [-7, 4, 9, 10],\n [3, -1, 8, 3],\n [-6, -7, 5, 4]]\nB =\n[[2, -7, -7, -9],\n [-6, -2, 10, -9],\n [10, 8, -7, 0],\n [-6, -7, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -3, -4, 10, 4, -5],\n [7, -3, -6, 10, -2, -9],\n [4, 6, -8, -6, 1, 6],\n [7, -2, -5, 4, 8, 8],\n [2, 2, 5, -3, -6, 0],\n [-9, -5, 8, 5, -3, -10]]\nB =\n[[-3, -4, -8, -6, -1, -2],\n [5, -8, 9, 5, 0, 5],\n [-3, 2, 0, 7, 7, 4],\n [-5, -4, -2, 5, 5, -1],\n [9, 2, -10, 0, 3, -4],\n [-9, -5, -2, -8, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-522", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, 9, -4, -8, -10],\n [5, -7, -5, -8, 7, -9],\n [-6, 9, 7, 4, 2, -2],\n [-4, 8, -5, 5, -8, 6],\n [7, -3, 3, 9, 0, -4]]\nB =\n[[9, 8, -9, -9, 6, -6],\n [7, -8, -4, 8, -5, 4],\n [1, 4, -8, -10, -1, 6],\n [-4, -7, -5, 8, -3, 10],\n [-5, -7, -10, -1, -7, -7],\n [-6, 7, 10, 2, -3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-6, 8, 8, -9, -7],\n [3, 1, -9, -1, -3],\n [-3, -9, 3, 8, 5],\n [-7, -7, -10, 4, -2]]\nB =\n[[-1, -10, 7, -7, 10],\n [7, 10, -4, 8, 5],\n [1, 1, -8, -5, 8],\n [7, 4, -1, 9, 0],\n [-9, -9, 10, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-101", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 1, -9, 3, 10],\n [-2, -5, 6, 5, -8],\n [2, 7, 4, -6, -9],\n [-7, -10, 5, 10, 8]]\nB =\n[[9, 7, 8, 5],\n [6, -3, 7, -7],\n [-9, -8, 6, -1],\n [-6, 1, 1, 7],\n [-2, 0, -9, 9]]\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 absolute values of all entries of the result:\nA =\n[[9, -6, 10, 1, -8, 5],\n [6, -4, -2, 2, 1, 10],\n [5, 2, 0, 6, -5, -7],\n [-4, 10, 0, 2, -10, 2]]\nB =\n[[5, 3, 7, 4, 7],\n [0, 2, 4, -9, -2],\n [3, 5, 6, -4, -5],\n [6, 5, -3, -10, -1],\n [7, -2, 8, 10, 10],\n [-6, 8, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1339", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 8, -4, -10],\n [-9, -5, -4, -6],\n [9, -8, -2, 8],\n [10, 0, 4, 4],\n [1, 0, -9, -6]]\nB =\n[[-7, 2, 3, -8],\n [6, 4, 7, -3],\n [0, 0, 3, 9],\n [-8, -6, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-380", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 0, -8, 10, -7, -2],\n [-1, 3, -8, -5, 1, 6],\n [10, -2, 7, 9, -7, 4],\n [10, -4, -6, 1, -1, -8]]\nB =\n[[-4, -5, 7, -7, 7],\n [-4, -8, 6, 0, 7],\n [-8, -3, 3, 3, 9],\n [-7, -1, 1, -4, -6],\n [1, 10, -9, -4, 1],\n [-4, 10, 2, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-2, 3, -5, -10, 5],\n [-7, 8, 8, 8, -4],\n [3, -2, -2, 4, 5],\n [10, -4, -2, -5, 1]]\nB =\n[[-1, -3, 8, -5, -7, 8],\n [10, 5, -10, 4, 7, 6],\n [4, -3, 6, 8, 8, -9],\n [3, -3, 0, 8, -9, 0],\n [-6, 3, -9, -6, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -2, -10, -5, 2, -2],\n [0, 8, -2, 10, -9, 8],\n [7, 0, -8, 6, 2, -5],\n [9, -3, 5, -4, -3, -6]]\nB =\n[[6, 6, -4, -5],\n [-9, 8, -5, 8],\n [10, -3, -2, 9],\n [-5, -1, 10, -7],\n [7, -7, 5, -10],\n [0, 1, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1299", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -7, -7, 2],\n [9, 7, 10, 5],\n [-3, 5, 2, -2],\n [2, -6, 2, 8],\n [-2, -1, -4, 1],\n [1, 4, 1, -9]]\nB =\n[[-9, 5, -6, -5],\n [3, -4, 5, -7],\n [-3, 2, -7, 6],\n [7, 6, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 2, -10, 7, -4, 2],\n [0, 2, 5, -7, 3, -6],\n [2, -3, 4, 8, 3, 10],\n [8, -2, -2, 9, 2, -9]]\nB =\n[[-4, 10, -6, -10, -9, -7],\n [-7, -6, 1, 6, -1, 7],\n [-9, 6, 6, 5, 0, -5],\n [8, 6, 5, -1, 10, 6],\n [5, -4, 5, -7, -4, -8],\n [-5, 1, 10, 4, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "286", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, 2, -7, 0, -4],\n [7, 1, -9, -1, -8],\n [4, 3, -4, 7, -9],\n [-2, -2, 4, -10, -6],\n [-1, 6, -3, -5, -7]]\nB =\n[[8, 5, 1, 5, 0],\n [-5, -9, 5, -6, 9],\n [8, -2, 6, 7, 4],\n [2, 0, 8, 9, -2],\n [4, 6, -6, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 7, 9, -9],\n [9, -1, 0, 10],\n [-7, 10, 3, 3],\n [-1, 10, 7, 10],\n [10, -9, -9, 5],\n [0, -5, 6, -9]]\nB =\n[[-2, 3, -7, 1],\n [0, 10, 3, 7],\n [-3, 7, 6, 3],\n [-2, 4, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "413", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -2, -2, 0, 1, 9],\n [-9, 10, -6, 9, -3, -1],\n [3, -1, 10, 0, 1, 2],\n [0, 2, 10, -4, -2, -1],\n [-4, -2, 7, 9, 4, -9],\n [9, 4, 7, -9, -7, 1]]\nB =\n[[1, 2, -1, -3],\n [-3, 4, -6, 9],\n [4, 3, -6, 7],\n [9, -3, 7, -1],\n [-3, 6, -5, -8],\n [8, -6, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1282", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[8, 8, -1, 8, 9],\n [3, -7, -5, -9, 9],\n [9, -4, -4, 9, 7],\n [-1, -3, -4, 3, -7],\n [-9, 3, -5, -5, 2]]\nB =\n[[7, 3, 10, -7, 5],\n [0, 7, -2, -1, 7],\n [0, 8, 10, -2, 6],\n [10, 7, 6, 4, -1],\n [-3, -1, 3, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -9, -3, 10],\n [9, 10, -5, -3],\n [3, -8, 0, 4],\n [1, 2, -1, 10],\n [9, 1, 5, 10],\n [-2, -10, -6, 1]]\nB =\n[[-7, 0, 8, 5],\n [5, 8, 10, -10],\n [-9, 0, -7, 9],\n [10, -2, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "598", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 9, -7, -5, -1, -9],\n [3, -1, -5, 6, 2, -10],\n [8, -10, -4, -6, 9, 4],\n [6, 1, -3, 8, 1, -9],\n [-8, 7, -3, 6, 3, -4],\n [7, 8, -5, 8, -3, -6]]\nB =\n[[-1, 4, -6, 10],\n [-5, 1, -10, 0],\n [5, 5, 1, -8],\n [7, -8, -8, -1],\n [-2, 4, 7, -2],\n [5, 0, -5, -5]]\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 product of the following matrices:\nA =\n[[-10, -4, -2, 6],\n [-5, 4, -2, 0],\n [7, 9, -10, -4],\n [5, 2, 10, -5]]\nB =\n[[7, -1, 2, 3, 0],\n [-5, 2, 10, -3, 4],\n [8, 6, -1, -5, -4],\n [-8, -6, 2, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1070", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-7, -1, 6, -4],\n [-3, -4, 0, 1],\n [-5, -3, -1, -3],\n [-6, 0, 9, 0]]\nB =\n[[8, 4, 6, -6, -10],\n [0, -2, -6, -1, -3],\n [-9, 6, -2, 10, -4],\n [-5, -8, 10, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -2, -10, -10, -1],\n [1, -4, 5, -1, 8],\n [-5, 1, -2, -9, -8],\n [9, 2, -2, 5, -5]]\nB =\n[[-8, 2, -2, 7, -1],\n [10, -1, 10, -2, -3],\n [-9, 2, 4, -9, 2],\n [1, -7, 1, 8, 9],\n [3, 9, -10, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-5, 3, -6, -2, -9],\n [9, 9, 5, -1, 3],\n [-5, 3, 2, -9, 7],\n [-2, 10, -6, -5, -10],\n [-1, -6, 6, 9, -4]]\nB =\n[[5, -10, 8, -4, 2, -2],\n [-9, 1, 1, 9, -9, 10],\n [10, 6, -4, -6, 9, 2],\n [5, 9, -10, -7, 10, -1],\n [5, -2, -9, -2, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "17", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-2, -6, 0, -9, 6],\n [4, 9, 7, -2, -10],\n [3, 7, -2, -8, 8],\n [-2, -10, 5, -8, -2],\n [2, 8, 5, -2, 1]]\nB =\n[[2, 6, 2, -8, -10],\n [-6, -2, 1, -7, 7],\n [-6, 9, 3, -4, -4],\n [-8, -6, -10, 3, 0],\n [-7, 9, 4, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 6, 1, -7],\n [-1, -2, 4, 10],\n [6, -8, -9, -3],\n [6, -10, -4, 8],\n [6, -8, -10, -4]]\nB =\n[[5, 0, 0, 2, -1, -3],\n [4, 1, 8, -1, 9, 1],\n [6, 5, -7, 3, 6, 3],\n [-3, -7, -6, 8, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-786", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -6, 10, 7],\n [8, -4, -2, -2],\n [-3, -10, 5, 3],\n [6, 1, 3, 7]]\nB =\n[[4, -10, 7, -3, -7],\n [4, -5, -3, 9, 6],\n [-9, -8, -8, 8, 4],\n [6, -5, 4, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "970", "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, 5, 3, 6, -8, 6],\n [9, -6, 0, 8, 2, 6],\n [-4, 6, -5, -3, 5, -10],\n [5, -8, 6, -4, 5, 10],\n [-4, 7, 4, 1, 10, 0],\n [1, 5, -9, -10, -8, 3]]\nB =\n[[3, 5, 6, -9, 5],\n [10, 8, -9, -9, -9],\n [2, -6, 7, 4, 5],\n [3, -2, 7, 5, -7],\n [2, 0, 7, 10, 0],\n [5, 0, 9, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2546", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[10, -3, -10, 6],\n [7, 6, -5, 8],\n [-4, 5, -4, -2],\n [-7, 10, -6, 1],\n [2, -7, 9, 5]]\nB =\n[[-9, 6, -3, 4, 2],\n [4, 2, 9, 5, -1],\n [-2, 7, 4, -10, 6],\n [-4, -5, 9, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -10, -3, 4, 4],\n [3, 2, -9, -8, 0],\n [5, 2, -2, -6, 1],\n [10, 4, -3, 5, 4],\n [-8, -8, 6, 9, -1],\n [-8, -10, 2, -1, -1]]\nB =\n[[10, 5, 2, 5],\n [0, 4, 4, -5],\n [-5, -5, -9, -6],\n [9, 1, -1, -10],\n [9, -9, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 10, -5, 0, -2, -3],\n [-4, -10, -4, 4, 2, -5],\n [-9, -3, -5, -10, -6, -2],\n [-3, -9, 2, 10, -8, 6],\n [-1, -6, 2, 5, 7, -6],\n [-4, 4, 7, 10, 8, 5]]\nB =\n[[10, 6, 4, 3, 2],\n [-1, 9, -7, 5, 2],\n [-5, 7, 10, 2, -8],\n [6, 9, 0, -1, -1],\n [3, -5, 5, -1, 6],\n [8, 4, -8, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1915", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -8, -4, -5, -9, 6],\n [3, 4, -1, 6, 7, 9],\n [-5, 3, -7, -1, 10, -7],\n [-1, -1, 2, 4, -8, -8]]\nB =\n[[4, 10, 6, -5, 5],\n [6, 1, 10, 7, 9],\n [2, -1, 4, -6, -5],\n [8, 7, -8, 5, -10],\n [-8, 0, -7, 3, -5],\n [-8, -6, 7, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-9, -6, 0, -3, -3, -6],\n [-2, 4, 1, 3, 4, 5],\n [4, -7, 6, 3, 6, 8],\n [8, -3, 3, -10, -6, 5],\n [1, 9, 6, 10, 9, 3]]\nB =\n[[-1, 1, 4, 8],\n [1, 7, -4, -10],\n [3, 2, -8, 2],\n [9, 7, 6, -4],\n [5, -2, -2, -4],\n [10, 5, 10, 9]]\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 product of the following matrices:\nA =\n[[-10, 0, 8, 10, 10],\n [8, 3, -5, -3, 9],\n [-7, 2, 4, 8, 6],\n [3, -10, -3, 9, 0],\n [-4, 10, 10, 9, -2]]\nB =\n[[0, -6, 4, -7, -1, -2],\n [8, 9, 4, -4, 3, 4],\n [10, 6, 3, 5, -8, -6],\n [-3, -7, 10, -6, -1, -3],\n [4, 7, 2, 7, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2157", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[6, -5, -3, 5, -6, 10],\n [-4, 9, 2, -6, 1, 8],\n [-8, 1, 1, -10, -1, 8],\n [-4, 2, 7, -10, 5, 6],\n [3, 2, 3, -5, 2, -8]]\nB =\n[[-5, 6, 8, -9],\n [3, 5, 5, 9],\n [-9, -2, -3, 9],\n [-9, 4, 6, -5],\n [-6, -4, 1, -6],\n [9, 4, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-76", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 0, 0, -8, -3],\n [3, 1, -4, -2, -10],\n [1, -2, -8, -4, -1],\n [-10, -5, 9, 0, 2]]\nB =\n[[3, 4, 10, -1, 8, -1],\n [3, -10, -6, 1, -6, -8],\n [8, 9, -1, 1, -2, -2],\n [-2, 7, -5, 9, 6, -9],\n [-6, 7, 1, 0, -8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 5) of the result:\nA =\n[[-10, 0, 5, -8, 2],\n [-3, 10, 4, 8, 0],\n [-10, 0, 4, 1, 7],\n [9, -1, 9, 6, -6],\n [5, 4, 0, -1, 0],\n [4, -10, -2, -9, -10]]\nB =\n[[-5, -10, -10, -8, 8],\n [-9, -9, -7, -6, 7],\n [7, 5, -8, 5, 9],\n [-10, 8, -6, -8, -5],\n [-2, -3, -8, -5, -10]]\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 product of the following matrices:\nA =\n[[-4, -4, -10, -3, -1, -8],\n [3, -9, -4, 2, -9, -6],\n [-5, -5, -4, -4, -3, 3],\n [0, 3, 6, -10, -2, -9],\n [2, -7, 0, -9, -1, 2]]\nB =\n[[-1, 8, -5, -4],\n [5, -2, -2, 4],\n [5, -4, -2, -6],\n [8, 0, 2, 7],\n [-10, -10, 4, 7],\n [-3, -8, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-2, -2, -4, -10, -6],\n [-6, 7, -5, 3, 1],\n [-10, -3, -2, 5, 6],\n [4, 4, 3, -7, -10],\n [-9, -7, 3, 9, -9],\n [0, 8, 2, 9, -6]]\nB =\n[[-4, 5, 8, -1, -6, -5],\n [-7, -9, 0, -7, 9, -4],\n [2, -9, -9, -8, 3, -9],\n [10, 8, -8, -4, 9, 1],\n [6, -8, -2, 1, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-287", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -9, 6, 7, 2],\n [8, -4, -5, -2, -6],\n [6, -1, -9, 4, 5],\n [5, -8, 4, 10, -9],\n [10, 2, 9, 8, 6]]\nB =\n[[-8, 8, 3, 7, -1],\n [-10, -6, -1, 6, 7],\n [-4, 0, -5, -3, -6],\n [9, -4, 5, -1, 0],\n [0, -5, 0, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "193", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -6, -5, -1],\n [5, -10, -1, 4],\n [-2, 6, -5, -10],\n [10, -2, 8, -4],\n [0, -10, 3, 2]]\nB =\n[[-10, 2, -7, 8, 8],\n [8, 1, -7, 3, -4],\n [-10, -3, 5, -8, -9],\n [-9, 6, -5, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -1, -3, 9],\n [6, -6, 2, 2],\n [-7, 4, 6, -5],\n [10, -7, -7, -6],\n [-1, 3, 9, -4],\n [-5, 5, 0, -4]]\nB =\n[[-9, -2, 9, 7],\n [-9, 7, 10, -4],\n [-7, -4, -5, -5],\n [-4, 10, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1188", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-3, 5, 10, 5],\n [-8, 9, -2, 3],\n [4, -7, 1, -5],\n [-2, 2, 4, 8]]\nB =\n[[-5, 9, 9, 2, 7],\n [0, -4, -4, 8, 9],\n [6, 5, 10, -3, -3],\n [-8, 3, -10, -8, -5]]\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 product of the following matrices:\nA =\n[[0, -4, 5, -10],\n [6, -2, -7, 9],\n [-9, 5, -10, -10],\n [0, 10, -9, 3],\n [1, -1, 7, -3],\n [-2, -9, -9, 0]]\nB =\n[[10, 3, -4, 7, -6],\n [10, -7, -4, 6, -10],\n [9, -5, -7, 6, 2],\n [-4, -5, -5, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "114", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-2, 2, 1, -5],\n [-3, 4, 8, -2],\n [8, -5, 3, 10],\n [3, 1, 4, 0],\n [5, -1, -7, -10],\n [7, -9, 10, -5]]\nB =\n[[2, 0, 5, 1],\n [2, 6, 9, 4],\n [-1, 0, -2, 7],\n [-4, -1, -8, 10]]\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 when matrix A is multiplied by matrix B?\nA =\n[[1, -2, -5, 5, -3],\n [5, -5, 7, -7, -1],\n [0, -5, 0, 5, -1],\n [-2, -8, -1, -6, 2],\n [-4, -10, 2, 3, 2],\n [-5, -2, 2, 2, -9]]\nB =\n[[-1, -8, 4, -10, -4, 3],\n [0, 3, -7, -2, 2, -9],\n [-1, -2, 5, -1, 1, 4],\n [6, -1, 3, 4, 0, 0],\n [-2, -1, 1, 7, -6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1284", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-8, 8, -1, -8, 8],\n [4, 0, 8, 3, -7],\n [-8, 5, -10, -9, 6],\n [9, 9, 1, 10, -9]]\nB =\n[[-6, 0, 1, -7, -7],\n [4, -6, -10, -7, 7],\n [0, 3, 8, 3, 3],\n [4, 6, 6, 0, 3],\n [3, 0, 1, 6, 5]]\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 when matrix A is multiplied by matrix B?\nA =\n[[8, 0, 0, -1, 8, 8],\n [-3, 2, 1, 6, 6, 3],\n [-10, -10, -8, -2, -5, -1],\n [7, -2, 6, 6, 8, -1],\n [10, -6, 10, 3, 1, 8],\n [2, 4, -2, 5, 0, -5]]\nB =\n[[-1, 8, 8, 10, -10, -4],\n [-2, 0, 1, -1, 7, -10],\n [-8, -8, -6, 3, -1, -9],\n [-6, 7, 4, 10, -9, -2],\n [10, -4, -4, -2, 9, -1],\n [-9, 1, 9, -4, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2035", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -8, -6, 5, -3, -6],\n [5, -8, -10, -4, 2, -9],\n [-2, -1, -9, 4, -1, 2],\n [-3, 0, 2, -6, 2, -4]]\nB =\n[[-1, 2, 9, -4, -6],\n [-10, 8, -8, 2, -1],\n [5, -3, 5, -4, -1],\n [9, 10, 8, -2, 6],\n [-8, 2, -6, -1, 1],\n [3, -7, -5, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, 3, -3, 4, 9],\n [0, 0, -8, -2, 4],\n [-9, -9, 6, -2, 10],\n [1, 10, 4, -7, -9],\n [7, 4, 6, -1, 0]]\nB =\n[[9, 5, 0, -1, -4],\n [1, 6, -3, 8, -4],\n [-8, 3, 8, 3, 2],\n [-7, -6, -4, 8, -4],\n [5, 6, -9, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-6, 1, -5, 10, 4],\n [-4, 7, 4, 8, 4],\n [-9, -8, 7, -10, 9],\n [9, 2, -8, 1, 3],\n [4, -6, 5, 8, -3]]\nB =\n[[-4, 2, -5, -10],\n [2, -4, 5, -5],\n [-2, 7, 1, -3],\n [9, 8, 1, 5],\n [-2, 8, 2, 7]]\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 product of the following matrices:\nA =\n[[-7, 10, -1, -6, 4],\n [7, -3, 3, -8, -4],\n [5, -6, -7, 8, -1],\n [10, -8, 10, 8, 2],\n [-5, -8, 1, 8, -5]]\nB =\n[[9, 7, 1, -5],\n [7, 8, 3, 10],\n [-8, -8, 9, -9],\n [7, 0, 1, 7],\n [-9, 10, 1, 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 when matrix A is multiplied by matrix B?\nA =\n[[-10, 10, -5, -7, 1],\n [7, 1, -5, 9, 10],\n [-4, -4, -9, -4, 10],\n [-7, -10, 0, 2, -5]]\nB =\n[[6, 8, -1, 7, 4, 1],\n [0, 10, 10, -4, -8, 8],\n [5, -9, 6, 9, -9, 5],\n [4, 4, -4, 1, 4, -6],\n [6, 0, 0, 1, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-659", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 0, 7, 1, -8, -6],\n [-2, 5, 5, 3, -1, -5],\n [-5, 1, 0, -10, 6, -2],\n [1, -1, 1, 5, -7, -10],\n [7, -8, 6, -4, -1, 10],\n [-9, -3, 6, -7, -8, 6]]\nB =\n[[2, -1, -8, -2, -6],\n [-5, -1, -8, 0, -10],\n [-6, -10, 9, -2, -10],\n [0, -1, -9, 1, -5],\n [-8, 0, -3, -1, 5],\n [7, 7, -1, 7, -9]]\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 when matrix A is multiplied by matrix B?\nA =\n[[0, 7, 7, 1, 1, -9],\n [7, 10, -6, -6, -8, 0],\n [2, 7, 8, 1, 0, 6],\n [-2, -2, -9, -7, -7, -5],\n [1, 7, 8, -7, 1, 7],\n [6, 0, -10, -10, 2, 10]]\nB =\n[[-10, 6, -4, 8],\n [-9, -5, -1, -10],\n [-3, 10, 8, 9],\n [9, -2, -5, -9],\n [9, 4, -7, 0],\n [2, 6, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1644", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 6, 1, 1, 0, 4],\n [3, 8, -7, 3, 2, -2],\n [-4, -9, -6, 1, -10, 5],\n [-8, -7, 10, -5, -5, -4],\n [-9, 5, -10, -1, -4, -9],\n [-4, -6, -9, 1, 8, -10]]\nB =\n[[-2, -10, -10, 1],\n [4, -2, -9, -7],\n [6, 2, 9, 6],\n [-10, -6, 5, -7],\n [0, 0, -3, 8],\n [5, -10, 7, 0]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-8, -4, 2, -5],\n [-1, 5, 0, -5],\n [9, 3, -7, -7],\n [-2, 3, 10, 2]]\nB =\n[[5, 3, 7, 5, -8],\n [-10, 4, 7, 6, 6],\n [1, 2, -2, -8, 10],\n [-10, -9, 0, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -9, 1, 0, 0, 1],\n [-1, 1, -3, 7, -4, 7],\n [9, -2, 0, 2, 4, -3],\n [2, 10, 4, 0, 4, 0],\n [-7, -6, -2, -9, -2, 2]]\nB =\n[[4, -4, -1, -5, -9, 6],\n [-2, -4, -6, 6, -5, 5],\n [4, -4, 6, -4, 7, -6],\n [3, 2, -6, 4, 10, -7],\n [-3, -2, 8, 6, -1, -10],\n [-6, 2, 10, 4, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 3, 5, -3],\n [3, 6, 3, -7],\n [-5, 10, 6, -1],\n [1, -6, 0, -6]]\nB =\n[[-4, 0, -8, 10, 10, 6],\n [-4, -2, -5, -5, -3, -6],\n [-7, 10, 10, -4, -9, -2],\n [8, 8, 1, -8, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-334", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[-6, -9, -9, -6],\n [4, 10, 7, -8],\n [3, -7, 7, -10],\n [0, 3, -8, -9],\n [-3, 2, -4, -10]]\nB =\n[[0, 4, 3, -1],\n [-2, 0, -9, 4],\n [-8, -3, -8, 1],\n [-2, -7, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -6, -9, -6, -7, 1],\n [-9, 10, -9, 2, 4, -6],\n [10, -2, 4, -3, 0, -1],\n [0, 8, -9, -7, 5, 10]]\nB =\n[[-10, -4, 3, -9],\n [7, -3, -4, 6],\n [9, 1, -9, 1],\n [6, 0, -5, 3],\n [6, 0, 6, 0],\n [4, -4, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[10, 9, -6, 6, -7],\n [0, 7, 4, -1, 3],\n [-10, 5, -1, -1, -7],\n [-4, 8, -6, 0, -2],\n [0, 4, 10, -3, -10]]\nB =\n[[-3, -3, -10, -3],\n [-10, 0, 2, -10],\n [-6, 7, 6, 4],\n [0, 8, 5, 1],\n [-2, -7, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 4, 0, 4, 7, 9],\n [-9, -1, 0, 1, 8, 7],\n [7, 6, -1, -3, 4, 0],\n [-7, -8, 8, -10, 10, 4],\n [9, 8, -3, 3, -4, 3]]\nB =\n[[-6, -3, -6, 8],\n [7, -6, 2, 0],\n [-9, 8, 10, -2],\n [-9, 4, 1, -1],\n [1, -8, 8, 6],\n [-7, -4, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1202", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[6, -7, 9, -3, -6, -8],\n [-2, 1, 5, -8, -9, -4],\n [-6, -4, 6, -1, -8, 2],\n [-4, 7, 2, 3, -5, -9],\n [5, 3, -6, -5, -1, -10],\n [5, 5, 1, -5, 1, -2]]\nB =\n[[2, -9, -1, -8],\n [5, -5, 4, -3],\n [-10, -10, 10, -1],\n [-10, -8, -8, -3],\n [-9, -4, -5, -9],\n [10, -5, 8, -2]]\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 product of the following matrices:\nA =\n[[-6, 1, -10, 7, -8, 8],\n [-4, -3, 3, -7, -4, -6],\n [-1, 8, -7, 1, -2, -1],\n [6, -5, 7, -2, -4, -1],\n [-10, -1, -10, 10, -8, -1],\n [-4, 6, 4, -3, -4, 6]]\nB =\n[[-5, 4, 1, -6, 3, 5],\n [2, 10, 8, -4, 4, -5],\n [-7, -3, 8, -5, 6, 7],\n [-10, -3, 2, -8, -3, -7],\n [-4, -10, 1, -3, -3, -5],\n [8, 10, -1, 9, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "650", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -10, 10, 2, 5, 10],\n [1, 10, -1, 6, -1, 7],\n [3, -10, -5, -5, 3, 8],\n [5, 7, -3, -8, 7, 10],\n [2, -2, 1, 8, 4, -5],\n [3, 6, 7, -9, -10, 7]]\nB =\n[[-10, 2, 3, 6, -2, 6],\n [-3, -8, -6, -8, 0, 3],\n [1, -3, 2, -5, 2, -9],\n [-7, -3, -8, 8, -7, 6],\n [-3, -5, 5, -2, -3, 7],\n [-3, -5, 3, 4, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-411", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -9, 10, 10],\n [3, 8, -2, -9],\n [-8, 9, -7, 6],\n [-9, 9, 6, 3]]\nB =\n[[-6, -6, 7, -2],\n [-2, -10, 6, 9],\n [5, -8, 4, -2],\n [2, 4, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1004", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-2, 9, 2, -6, -4, -1],\n [-8, 4, 5, 4, 9, -1],\n [3, -9, 9, -3, 1, -1],\n [7, 7, -6, 5, 2, -5]]\nB =\n[[5, 10, 4, 5, -9, -3],\n [2, 7, -1, -8, -5, -3],\n [2, 2, 2, -1, 4, -1],\n [6, -1, 6, 4, 5, 10],\n [8, 2, 9, 2, 9, -10],\n [-5, 4, 7, -2, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -2, -5, -2, -8, 1],\n [5, -4, -8, -4, -6, 0],\n [-3, 7, -2, 1, -8, 0],\n [2, 2, 8, -6, 9, -6],\n [-6, -9, 9, -8, 5, -3]]\nB =\n[[6, -3, -6, 0, 7, -2],\n [3, -8, -1, 3, -5, -1],\n [10, 6, 3, -1, 0, -2],\n [9, 9, 6, 1, 6, -3],\n [3, -9, 7, 7, -7, 2],\n [-6, 4, 4, -2, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-368", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, 2, 4, -2],\n [-10, 5, 6, 6],\n [9, -7, -9, -6],\n [0, -4, -5, -6],\n [7, 7, 10, 10]]\nB =\n[[10, -1, -10, -1, 10, -3],\n [10, -3, -6, -3, 10, 3],\n [3, 7, -6, -4, 9, 0],\n [-8, 2, -1, -9, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-158", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 4, 9, 10],\n [7, -3, 7, 9],\n [-5, 6, -1, -9],\n [4, 1, -10, 4],\n [1, 1, 7, -6],\n [1, -10, 2, -4]]\nB =\n[[0, -1, 8, -9],\n [0, 1, -1, 7],\n [-3, 4, -10, -6],\n [-9, -6, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1501", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -7, -5, -9, 3],\n [3, 9, -10, -4, 8],\n [7, 5, -9, 6, -4],\n [6, -5, 5, 1, -2],\n [5, -1, -7, -4, -10]]\nB =\n[[-3, -4, -8, 3, 10],\n [6, -8, 1, 7, 10],\n [3, -1, -2, 5, -9],\n [-7, 5, -8, -7, 9],\n [-8, -2, -5, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1530", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 6, -1, 8, -8, -9],\n [-2, -9, 1, 0, 10, 4],\n [3, 9, 10, 3, -9, -6],\n [10, -3, -3, -4, 0, -3],\n [-2, 9, -8, 5, -4, 5]]\nB =\n[[-4, 6, -2, 5],\n [-9, 6, 7, -4],\n [10, 5, -7, -8],\n [4, -6, -1, 3],\n [7, 9, -2, -3],\n [6, -2, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1394", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[8, 7, -1, -10, 9, 0],\n [3, 8, -3, 6, -8, -6],\n [0, 3, -2, 5, -7, 6],\n [10, 8, -5, 5, 3, -4]]\nB =\n[[-5, 3, -10, -8],\n [4, -2, -3, 4],\n [9, 5, 10, 4],\n [-4, 10, 9, 6],\n [2, 4, -10, -9],\n [5, 8, -2, 7]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, 8, 6, 4],\n [3, -10, 7, 0, 3],\n [3, -1, 7, -2, 5],\n [7, -5, -6, -1, 7],\n [-7, -8, 2, -1, -9]]\nB =\n[[-8, -3, 0, 7, 8, -5],\n [0, 8, 4, 7, -9, 10],\n [3, 8, 9, -2, 6, -4],\n [-2, 5, 10, 3, 4, 3],\n [8, 1, -8, 10, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 3, 7, 0, -6],\n [4, 4, 10, -4, 6],\n [-2, 9, -1, 7, -6],\n [10, 4, -2, -2, -10],\n [1, -3, 3, -1, 3],\n [3, 3, 8, 0, 6]]\nB =\n[[-10, -3, 3, -10, 5],\n [-1, 5, -5, -2, 3],\n [4, 8, 3, -4, -9],\n [-8, 6, 9, -4, -1],\n [5, -3, 8, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 9, 0, 2, -9, -1],\n [1, 8, 10, 3, -1, -1],\n [-2, 10, -5, 1, -8, -1],\n [-1, 4, 3, -6, 6, -7],\n [-7, 1, 6, 7, 4, -1]]\nB =\n[[5, -10, 2, -10, -10, 6],\n [6, 5, -3, -3, -2, 6],\n [-9, -7, 2, -5, 1, 5],\n [5, 9, -8, 4, -9, 8],\n [-4, 3, 10, -10, -6, 9],\n [6, -5, 3, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "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, 8, -6, 9],\n [3, -4, -7, -3],\n [-4, -8, 8, 10],\n [1, -5, 9, 4],\n [-3, -8, -7, 10]]\nB =\n[[-1, -7, -6, -10, 3, 10],\n [-7, -8, -3, 8, -10, 9],\n [4, 7, -1, 3, -6, 7],\n [3, 5, -7, 7, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2122", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 3, -6, -5],\n [-3, 7, 3, 5],\n [-8, 3, -2, 10],\n [8, 10, -4, 2],\n [0, -8, -4, 9]]\nB =\n[[5, 1, -10, 6, -1],\n [-1, 4, -7, -9, 4],\n [-5, 1, 4, -7, 3],\n [-2, 2, 6, 5, -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 when matrix A is multiplied by matrix B?\nA =\n[[-6, -1, 3, 6, 2, -3],\n [-10, 0, 9, -5, -5, -9],\n [9, -1, 9, -3, 4, 2],\n [2, 7, 8, 9, 7, 8],\n [-6, 7, -3, -7, -9, 4],\n [8, -8, -6, -5, 8, 1]]\nB =\n[[-9, 7, -1, -9],\n [-1, 1, -2, -10],\n [-6, 10, -8, -7],\n [-6, -2, -1, -10],\n [7, 1, -4, -3],\n [0, -9, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[8, 10, -4, -2],\n [7, -5, -2, 9],\n [1, 3, -9, 3],\n [1, -3, -5, 4]]\nB =\n[[-1, -4, 7, 3, 2],\n [-9, 4, -6, -10, -3],\n [3, -5, 7, 3, 6],\n [-3, -5, 8, -8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-14", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -2, -5, 9, 9],\n [-1, -6, 2, 1, 0],\n [3, -1, 6, 0, 0],\n [-8, 4, 4, 8, -9],\n [7, -4, 7, 8, -6]]\nB =\n[[5, 3, 10, -5, -9, -1],\n [5, -2, 5, -1, 1, 6],\n [-4, -6, -9, 8, -10, -10],\n [4, 8, 7, -10, 6, -8],\n [9, -8, -1, -10, -8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1864", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 2, -3, -5, -9],\n [4, -2, 1, 1, 10],\n [-9, -6, 6, 5, 5],\n [-9, -5, 7, -5, -2],\n [4, 10, 2, -4, 9]]\nB =\n[[2, -3, -7, 5, -4, 8],\n [10, 0, -5, 5, 2, 3],\n [-4, -10, -6, 8, 5, -4],\n [-7, 0, -1, 4, 9, -6],\n [1, 1, -3, 1, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-270", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 6, 7, -3, 2, 0],\n [-10, 0, -3, 1, 10, 2],\n [4, 6, -9, -1, 0, 8],\n [0, 6, 8, 6, -7, 5],\n [-10, -1, 8, 2, 9, -3],\n [8, -9, 6, 7, 10, 0]]\nB =\n[[10, 6, 7, -6, 3, 2],\n [10, 3, 0, -9, 4, -5],\n [2, 8, 2, 9, 6, 4],\n [0, 9, 9, -8, 1, 1],\n [-10, 3, -9, -10, -6, 7],\n [2, 1, 10, -3, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3345", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 10, 2, -7, 10],\n [-5, 9, -7, -10, -3],\n [7, 3, 0, -8, 1],\n [9, -8, 5, 5, -5]]\nB =\n[[3, 7, -4, 1],\n [10, 9, 8, 1],\n [6, -6, 7, -3],\n [1, 3, -10, -6],\n [-7, 8, 8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1236", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 2, 6, -8],\n [3, 2, 3, -9],\n [-5, -6, 9, 1],\n [1, -8, -10, 0],\n [-1, 8, 8, -6],\n [0, 5, 0, 0]]\nB =\n[[3, -6, -8, 9, 7],\n [-7, 3, -4, 2, 2],\n [6, -2, 6, 9, 7],\n [-8, 4, 3, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "398", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -10, 9, 0, 2, -1],\n [2, -10, -10, 10, 6, -8],\n [7, 9, -7, 10, -10, 2],\n [3, 10, -6, -2, 5, 10],\n [1, 6, -3, 10, 8, -5]]\nB =\n[[9, -6, 9, 7, -5],\n [-4, 4, -8, -1, -10],\n [-8, -3, -3, 10, 6],\n [-2, 0, 0, 0, -4],\n [-3, -2, -3, 7, 1],\n [8, -1, 4, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-117", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 8, 1, 5],\n [-5, 7, 2, -6],\n [10, -3, -4, 5],\n [-7, -8, -10, -6],\n [-8, -4, -6, 0]]\nB =\n[[1, 6, -5, -8, 10, 3],\n [-4, -10, 7, 5, 0, -7],\n [-4, 4, 6, -3, -6, -3],\n [9, 1, -1, 8, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -9, -5, -3, 0],\n [-3, -6, -10, 10, 6],\n [-3, -8, 4, 2, -8],\n [8, 7, -5, 6, 9]]\nB =\n[[6, 2, -6, -7, -4, -4],\n [-1, 4, -3, 2, 7, 9],\n [-4, 2, -5, -9, -6, -9],\n [-6, 6, 9, 8, 0, -9],\n [-10, -10, 3, -9, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1402", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[7, 0, 6, 4, 3],\n [5, -1, -3, 3, -4],\n [-4, 1, -8, -5, -3],\n [8, -1, 0, 4, 6],\n [-2, 3, 0, -7, -8]]\nB =\n[[7, -7, -7, -9, -3],\n [-4, 1, 7, 4, -10],\n [-1, 1, 4, 0, 7],\n [-8, 7, 1, 4, 3],\n [-5, -2, 9, -3, 6]]\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 all entries of the result:\nA =\n[[9, -4, 7, 7],\n [0, -8, -9, -6],\n [4, 8, 6, 3],\n [7, 5, -3, 4]]\nB =\n[[7, 0, 8, 5, -3],\n [1, 7, 9, 9, 7],\n [-8, -5, -8, -7, 6],\n [-4, 8, 3, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "351", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[2, -9, 9, -9],\n [-7, 8, 5, -10],\n [7, 1, 9, 6],\n [9, 9, -10, 8]]\nB =\n[[-9, -9, -8, 6],\n [6, 9, 1, 5],\n [-9, -4, -7, -2],\n [-3, -3, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 1, 3, 1, 5],\n [1, 3, -4, -8, -2],\n [10, 5, 4, -9, -4],\n [7, -3, 5, 2, 9],\n [6, 0, -1, 7, -5],\n [5, 1, 9, 7, 1]]\nB =\n[[-7, 1, -3, 6, -10],\n [10, 8, -4, -10, -10],\n [-2, -10, -3, -3, 1],\n [4, -4, 10, -10, 10],\n [-5, -6, 0, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1890", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -9, 1, -1, -1, -9],\n [-6, 1, -5, -9, 3, 8],\n [-10, 6, 10, 7, 9, 10],\n [3, -2, 8, -1, 0, 2],\n [6, -5, -3, 3, 7, 5],\n [3, 10, 2, 8, 6, 4]]\nB =\n[[2, -5, -9, 1],\n [-4, -4, -10, -8],\n [-3, 4, 5, 4],\n [-10, -9, 9, -2],\n [2, 3, -10, 2],\n [-9, -6, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-415", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 8, 5, 5, 0],\n [2, 7, 7, 6, -5],\n [5, -2, -9, -10, 9],\n [-2, 9, 3, 3, 6],\n [-10, 9, 9, -5, 1]]\nB =\n[[-7, 4, 1, -1, -1, -3],\n [-10, 4, -8, -4, -3, -5],\n [7, -9, 9, -10, -8, -6],\n [-10, -9, 9, 5, -2, -6],\n [10, 0, -4, -6, -9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2382", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[-4, -9, 10, -5, 4, -10],\n [-5, 1, -3, 5, 2, 0],\n [-5, -3, 1, -8, -9, -1],\n [-10, 6, 8, 9, -6, 6],\n [6, 6, 0, 8, 2, -6]]\nB =\n[[-3, 2, 7, -6, -9, 9],\n [-7, -4, -8, 4, -8, 0],\n [-2, -10, -2, -6, -1, -6],\n [10, 10, -6, 8, -4, 5],\n [-3, -6, 4, 8, 1, 2],\n [-5, 6, -8, 2, 2, -10]]\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 product of the following matrices:\nA =\n[[-10, 10, 0, -9, 3],\n [6, 8, 10, 6, -6],\n [-4, 6, -6, 5, -2],\n [5, 9, 6, -8, -6]]\nB =\n[[-5, -10, -10, 8, -10, -9],\n [6, -10, 8, -4, 6, -8],\n [10, -10, 3, 8, 9, -1],\n [8, 0, 8, 1, -3, 0],\n [-6, 4, -6, -8, 7, 5]]\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 product of the following matrices:\nA =\n[[8, -3, -1, -2, -3, 1],\n [-10, 9, -9, -8, -6, 10],\n [1, 4, -6, 10, 3, 5],\n [-8, -4, 9, 0, -10, 2],\n [1, 1, -1, 0, 8, -8],\n [3, 1, 9, 5, -5, -3]]\nB =\n[[-4, -10, -3, 2, -10, 2],\n [-5, -9, 5, 7, 1, 5],\n [-8, -6, 7, -1, 6, -3],\n [-8, -2, -7, -6, -9, -1],\n [4, -10, -3, -4, -10, 6],\n [-1, 0, 8, 8, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "212", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -1, -10, -2],\n [9, 5, -10, 4],\n [-6, -8, -4, -10],\n [-6, 8, 6, -9]]\nB =\n[[-3, -2, -8, -7, -5],\n [-3, 5, -2, -10, -1],\n [5, -10, -7, -2, -2],\n [-4, -5, -8, 2, 0]]\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, 1, -5, -1, -7],\n [1, -9, 10, -10, -10],\n [5, 6, 7, 8, -8],\n [-10, 4, -7, 0, 5]]\nB =\n[[6, -7, 10, -7, -6, 2],\n [3, 10, -10, -8, 6, -10],\n [6, -4, 0, -5, -6, 9],\n [-8, -10, -1, -6, 4, 3],\n [8, -6, -3, 9, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-302", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -10, 0, -10, -3],\n [-7, -2, 1, 7, -9],\n [8, 2, -10, 5, 4],\n [6, 2, -10, 4, 7]]\nB =\n[[-10, -10, -10, -10],\n [-1, -7, -1, -1],\n [-10, -9, -10, 5],\n [4, 2, -1, 9],\n [-8, -5, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "427", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -4, 3, 9, 2, -7],\n [9, 4, -8, -7, -1, -6],\n [-1, -5, -3, -5, -10, 1],\n [9, 10, 2, -4, -8, 3],\n [-6, 3, -2, 8, 1, 10]]\nB =\n[[3, -1, -9, -10, 6, -3],\n [-6, -10, -7, 9, 5, -7],\n [-9, 4, -3, -8, -6, 8],\n [-6, -6, 2, 0, 10, 0],\n [3, -4, -8, 2, 2, -5],\n [-8, 10, -1, 0, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[10, -4, -4, 10, 1, 4],\n [-4, -3, -6, 9, -7, 3],\n [4, 10, -3, 6, 6, -2],\n [6, -3, -3, -5, -3, -3]]\nB =\n[[9, 5, -4, 8, 9, 1],\n [-10, 9, 6, -7, -7, -1],\n [9, -4, -5, 10, 4, -4],\n [8, 9, -2, -3, -6, 2],\n [-10, 10, 6, 3, -9, -8],\n [-8, -1, -5, -8, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -3, -10, -3, -5],\n [-6, 6, -4, 4, -4],\n [5, -4, -6, -5, -5],\n [0, 10, 4, -8, 1],\n [-8, 1, -1, 1, -9],\n [4, -10, -1, -2, -9]]\nB =\n[[-8, -9, -1, 2],\n [-6, 6, -6, 8],\n [-4, 1, -6, -3],\n [-5, -2, -3, 9],\n [7, 0, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "468", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, 1, -5, -8, 2],\n [-8, -2, 1, -1, 8],\n [5, -5, 3, -7, 5],\n [-8, -9, -2, -4, -5]]\nB =\n[[-1, -1, -4, 0, 10, 8],\n [-2, -10, 8, 6, 8, -9],\n [1, 9, -5, 4, -5, 7],\n [0, 8, -7, -10, -2, 2],\n [2, 6, -9, 3, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, -4, 4, 5],\n [7, 8, -5, -3],\n [1, -3, -4, -6],\n [5, -3, 4, 4],\n [1, 6, 0, -9],\n [-10, -1, 2, 2]]\nB =\n[[-8, 8, -2, 7],\n [0, 1, 2, 4],\n [2, -10, -3, -2],\n [-4, 0, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 3, -4, 6, 9, -9],\n [-8, 2, -2, 5, -8, -9],\n [10, 4, -4, 7, 3, 4],\n [-8, -9, 8, -5, 4, 5],\n [2, -5, 5, 9, -10, 7],\n [8, -8, 1, 8, 9, -2]]\nB =\n[[-4, 3, 0, -6],\n [2, 10, -5, 4],\n [5, -2, -5, 0],\n [10, -5, 8, 5],\n [4, 5, 9, 6],\n [-3, 7, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "566", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 6, 9, 4, -6],\n [-8, -10, -5, -3, 8],\n [-7, -1, -4, 2, -7],\n [1, -6, -7, -4, -4]]\nB =\n[[-8, -4, -8, 1, -9],\n [-3, 2, -7, 2, -5],\n [-5, -6, 9, 6, -1],\n [5, -10, 9, -4, 8],\n [-1, 0, -1, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1310", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -1, -4, -7, 5],\n [-6, 1, 10, -5, -1],\n [7, -5, -8, -5, -7],\n [6, 8, 7, 6, 9]]\nB =\n[[-8, -8, 9, 9, -8],\n [4, 2, 5, -6, -1],\n [3, 1, 4, 9, 6],\n [-4, -1, 1, 10, -1],\n [-1, -2, -7, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1402", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -1, -7, 3, 9, -7],\n [-10, 9, 6, 3, -2, 2],\n [-3, 1, -7, 8, 6, 4],\n [-8, 8, 4, -3, 0, -5],\n [5, 4, -7, 8, 0, -5]]\nB =\n[[-5, -3, 0, -6],\n [3, 6, -5, 4],\n [2, 7, 8, -4],\n [0, -4, -9, 10],\n [-4, -6, 0, -9],\n [3, 8, 7, -10]]\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 when matrix A is multiplied by matrix B?\nA =\n[[9, -7, 1, -9, 2, 2],\n [-10, -8, -2, -2, 0, -8],\n [-10, -9, -8, 1, -9, -6],\n [1, 1, 1, -8, -2, 8],\n [-10, -4, -7, 5, -6, 0]]\nB =\n[[3, -10, 1, -6, -6],\n [10, -5, 6, 0, -4],\n [-2, 5, 2, 9, 0],\n [0, 2, -4, 2, 7],\n [0, -7, 1, -7, 8],\n [8, -8, -10, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1949", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -10, -3, 8, -9, -6],\n [5, 10, -8, 3, -4, 2],\n [-3, -9, 2, -10, 3, 4],\n [10, 0, -8, -2, -2, 7],\n [7, 4, 10, -3, 3, 9],\n [-8, -7, 9, 6, 7, -5]]\nB =\n[[-4, 5, 3, -4, -10],\n [9, -8, -3, 7, 7],\n [-2, 9, 9, 7, 0],\n [-9, 8, -4, 8, 0],\n [1, -9, -5, 8, -1],\n [-5, 3, 8, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 5, 4, 0, 7, 9],\n [8, -4, 8, 7, 9, 10],\n [-5, -4, 4, -1, -9, 4],\n [-1, 3, -7, 3, 5, -4]]\nB =\n[[-7, 4, 10, -1, 10, -10],\n [-5, 9, -10, 7, 6, 1],\n [8, 0, 10, -6, 8, -10],\n [-6, -6, -3, 1, -2, 6],\n [10, 3, -4, 6, 8, 4],\n [3, 3, 5, -4, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "396", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 4) when matrix A is multiplied by matrix B?\nA =\n[[1, 10, -5, -1],\n [9, -9, -9, -2],\n [0, -7, 5, -4],\n [5, -7, -6, -5],\n [8, 10, 10, 8]]\nB =\n[[-1, 1, -7, 2, 5, 5],\n [0, -3, 6, -4, 8, -4],\n [-8, -3, 3, -8, -7, -5],\n [6, 10, -7, -1, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 6, -6, -6, 4],\n [8, 7, -8, 0, 7],\n [-1, 1, 3, -3, 10],\n [-5, -4, 2, 3, -6],\n [-5, 1, -9, 3, -10]]\nB =\n[[9, -6, 2, 0, 0, -8],\n [-6, 1, -5, 3, -6, 2],\n [4, 5, -9, 1, -7, 2],\n [7, 6, 7, 5, -10, 4],\n [-9, 5, 1, -8, 10, 7]]\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, 6) of the product of the following matrices:\nA =\n[[8, -9, 4, -5],\n [9, 5, -8, -2],\n [-5, -9, 4, 9],\n [4, -2, -1, 8],\n [-7, -7, 5, 5]]\nB =\n[[6, 3, -2, -9, 8, 2],\n [-1, -9, 2, 7, -8, -2],\n [-9, 5, -8, 6, 9, -1],\n [9, 3, -2, -5, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 4, 4, -8],\n [4, -1, -1, -8],\n [-4, -3, 2, -1],\n [-10, -2, -10, 3]]\nB =\n[[9, 4, 9, 10, 6],\n [7, -7, 1, 7, 3],\n [-3, 5, -3, -2, 6],\n [-5, -4, 8, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-311", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[10, 2, -5, 8, 4],\n [-4, -2, -3, -2, 4],\n [0, -8, 8, -2, -7],\n [-7, -10, -5, 9, -10],\n [5, -5, -3, 3, 9]]\nB =\n[[-9, 10, -6, 1, 3, -2],\n [8, -5, 2, 6, -8, 0],\n [-1, 8, 3, 9, 10, 9],\n [-1, -9, 9, -5, -10, 0],\n [-6, 7, -8, 7, 6, 0]]\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 product of the following matrices:\nA =\n[[7, -5, 9, -4, 0],\n [-9, 8, -10, 6, 9],\n [-10, 10, 0, 5, 9],\n [-5, -8, 7, 0, -4]]\nB =\n[[-8, 1, 3, -1, -6],\n [-7, -1, 8, 7, 10],\n [0, 5, -6, -8, 7],\n [10, 7, -3, -6, 2],\n [-1, 8, -1, 5, -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[[10, 5, -1, 9, 10],\n [-8, -4, 2, 3, -4],\n [-8, -9, -2, 0, -8],\n [-10, 8, 10, -4, 9]]\nB =\n[[-3, -4, 5, 6, 6],\n [10, 3, -4, 6, -1],\n [-7, -8, 4, 1, -10],\n [8, -7, 9, 5, -2],\n [3, 6, 4, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1448", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -6, 1, -6, -7],\n [6, 0, -7, -7, 9],\n [0, -10, -10, 7, 9],\n [2, -1, -8, 3, 2],\n [1, -1, -9, -7, 8]]\nB =\n[[-5, -10, -7, -3],\n [4, -4, -1, 8],\n [7, 5, -7, -6],\n [2, 1, -6, -10],\n [-2, 6, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1325", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 0, 1, -6],\n [3, 7, -1, 3],\n [-6, 3, -8, 7],\n [8, -2, -6, 1],\n [6, 4, -2, 5]]\nB =\n[[9, 3, -3, -10, 3],\n [-7, 5, -4, 5, 0],\n [-7, -1, 6, -9, -5],\n [-9, -8, -2, 0, 6]]\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 product of the following matrices:\nA =\n[[-7, 3, -10, 4, 10],\n [3, 8, -8, 9, -1],\n [2, 10, -9, -4, 9],\n [-5, 2, 6, 4, -10],\n [-9, 2, 10, 10, 1],\n [5, -10, -4, 1, 10]]\nB =\n[[1, 0, -8, -9, 3, 7],\n [8, -7, -2, 8, -3, -1],\n [1, -1, 1, 5, -3, 2],\n [-2, 9, 8, -9, -6, -10],\n [-1, 0, -7, 3, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-299", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, -4, -1, -7, -5],\n [-10, 7, -2, -4, -5],\n [10, 5, 8, 6, 6],\n [-10, -2, -4, 1, 0],\n [-5, -6, -10, -9, 8],\n [5, -7, -1, -2, 10]]\nB =\n[[1, -5, -7, 2, -7, 3],\n [6, -8, 8, -4, 6, 5],\n [-3, 1, 7, -4, 1, -4],\n [0, 1, 10, 9, -7, -8],\n [7, 9, 9, -10, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -6, 7, 5, -6, -2],\n [-5, -3, 1, -2, 3, -5],\n [0, 3, 9, -10, 3, 7],\n [-10, -6, 2, 4, 6, 2],\n [5, 2, -1, -3, -9, 2],\n [-8, -2, 6, -5, 10, 6]]\nB =\n[[1, 8, 4, 6, -5, -5],\n [-2, -8, 10, 8, 7, 0],\n [-7, -3, -5, -3, 3, -8],\n [-5, 9, -3, 3, -3, 9],\n [5, 3, 0, -9, 7, -2],\n [-9, -5, -4, -9, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2623", "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, 1, 10, 0, -6],\n [3, 8, -9, -5, 4],\n [-4, 5, -7, -9, -3],\n [0, -4, -4, 0, -10],\n [4, 2, -10, 5, 5]]\nB =\n[[-8, 3, 7, 0, 10],\n [-4, 5, -9, -8, -5],\n [8, 5, -4, 4, -1],\n [-6, -2, 9, -8, 7],\n [0, -8, 2, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1674", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[10, 10, -3, -5, -9, -4],\n [-2, 5, -8, 3, -4, 4],\n [-10, -2, -6, -1, 4, -10],\n [1, -4, 5, -3, -7, -6]]\nB =\n[[5, 8, 4, 8],\n [-9, 2, 8, 1],\n [-4, -9, -5, -10],\n [-10, 7, 1, -1],\n [2, 1, -2, 9],\n [-5, -8, 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 absolute values of all entries of the product of the following matrices:\nA =\n[[3, -2, -9, -9, -9],\n [8, 7, -6, -5, -4],\n [0, 0, -4, -10, -6],\n [-4, 1, 9, 9, -1]]\nB =\n[[5, 4, 8, 3, -6, -7],\n [0, 9, -7, 9, -7, -2],\n [-5, 10, -1, 4, -3, 1],\n [6, 7, -8, 6, 8, -5],\n [8, -5, 3, 7, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1691", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -2, -3, 5, -9, 0],\n [6, -8, 9, -6, 3, -10],\n [-3, 1, -9, -3, -6, 10],\n [6, 2, -2, 7, 3, -5]]\nB =\n[[-5, 5, -8, -8],\n [9, -1, 8, 4],\n [-4, 4, -3, -7],\n [-6, -6, 6, -2],\n [-8, 9, 3, 4],\n [3, -9, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-450", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 9, 3, 4, -9],\n [8, -5, 9, 10, 5],\n [-1, 3, 0, -9, 8],\n [-5, -4, 4, -7, 1],\n [2, -8, 10, 2, 2],\n [0, 1, 8, -10, 3]]\nB =\n[[4, -9, 0, 2],\n [-1, -10, 1, 5],\n [4, -9, 8, 1],\n [-5, 7, 9, 9],\n [-3, -2, 10, -9]]\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 product of the following matrices:\nA =\n[[9, 2, -1, 4, 10],\n [-6, 0, 10, 3, 8],\n [7, -10, -1, 6, -3],\n [2, 7, -4, -2, -8]]\nB =\n[[1, -1, 1, 8, 1],\n [-4, 5, -8, -7, -6],\n [-9, -4, -7, -9, 0],\n [-9, -8, -6, 1, 7],\n [8, 1, -4, -3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-99", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 8, -3, 6],\n [-5, 6, 10, 3],\n [1, 5, -9, 5],\n [-3, 0, 0, 3],\n [4, -3, 10, 8],\n [3, -3, 0, -8]]\nB =\n[[1, -8, -7, -3, 6],\n [9, -5, 7, -5, 8],\n [1, 5, -2, 2, 6],\n [-6, -7, -1, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-235", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[10, 3, 6, -3],\n [-7, 8, -2, 5],\n [-6, -8, -2, -2],\n [3, 0, -10, -5],\n [9, -7, 8, -8]]\nB =\n[[9, 8, -8, 1, 8],\n [-9, -3, -6, 4, -5],\n [-7, -5, -3, -7, -2],\n [9, -2, 5, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[7, -5, 9, -10],\n [-2, 2, 8, -1],\n [-7, -4, 2, -2],\n [-9, -9, -1, 7]]\nB =\n[[5, 7, 5, -8, -5],\n [7, -9, -7, 4, -6],\n [9, 10, 10, -1, 5],\n [4, 9, 1, 4, -7]]\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 when matrix A is multiplied by matrix B?\nA =\n[[4, 3, 5, -2],\n [-10, 2, -3, 4],\n [-2, 6, -4, 9],\n [8, -7, -3, -1],\n [5, 6, 5, 5]]\nB =\n[[0, -4, -10, -6, 5],\n [4, 5, 9, -7, 1],\n [3, -3, -3, 5, -7],\n [0, -7, 1, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[-2, 4, 8, -7, 0, -9],\n [-8, 7, -3, 5, 2, 2],\n [1, 10, 10, 0, -4, 6],\n [-8, 7, -3, 7, -4, 6],\n [2, 8, 2, -8, -7, -7]]\nB =\n[[-5, -5, 8, -3],\n [3, 5, -9, -9],\n [-3, -10, -7, -5],\n [-6, -5, -9, -7],\n [4, 9, 4, 10],\n [2, 7, -5, -3]]\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 value at position (5, 3) of the result:\nA =\n[[-9, 3, 3, -10, 2],\n [-10, 9, -10, 3, 7],\n [8, 1, -3, 0, 6],\n [5, -4, 1, -8, -4],\n [-8, -10, 9, 3, -9]]\nB =\n[[3, 9, -9, -7],\n [2, 10, -1, -3],\n [-10, 6, 8, 8],\n [-7, -10, -10, -6],\n [-9, 1, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[7, -1, -7, -8],\n [-5, 7, -9, 10],\n [-4, 0, 2, -1],\n [-8, -7, 9, 3],\n [-8, 1, 3, 4],\n [6, 4, 7, 2]]\nB =\n[[4, -10, -10, 9, 2],\n [-8, 2, 1, -4, 0],\n [4, 4, 10, 9, -7],\n [-6, -4, 0, 5, 7]]\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 product of the following matrices:\nA =\n[[-5, 6, -10, -7, -7, -7],\n [-1, 2, 9, 8, -1, -5],\n [-7, -10, 0, -10, 5, 3],\n [-8, -2, 5, 8, -3, -10],\n [-7, 7, -5, 8, 5, 9]]\nB =\n[[-1, -5, 2, 3, -4, 8],\n [5, 1, -7, 4, -4, 6],\n [2, -9, 2, -3, -8, 9],\n [5, -2, -9, 0, 7, 4],\n [5, -8, 2, -7, 4, -9],\n [4, 9, -10, -8, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2320", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, -10, 8, -8, 0],\n [-6, -1, -6, -5, 8],\n [-6, -1, 8, -2, 10],\n [-7, -10, -1, 9, 0],\n [-6, -2, 3, 2, 5]]\nB =\n[[-4, -1, 5, 2, -3, -3],\n [9, -2, 10, 1, -2, 7],\n [2, 9, 1, 2, -8, 5],\n [10, 9, -8, 10, 0, -5],\n [-7, 9, 6, -10, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2051", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-7, 3, 6, 7, 8],\n [2, -6, -9, 3, -7],\n [3, 6, 10, -4, 9],\n [5, 5, -6, 5, -5],\n [-2, 1, 9, -8, 6],\n [-10, -6, -4, -1, -10]]\nB =\n[[10, 8, -9, 2, 8, 4],\n [3, -4, -6, -10, -9, -4],\n [-9, 7, 2, 7, 3, -8],\n [1, -3, -9, 8, -10, 3],\n [1, 4, -8, 9, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[1, 5, 8, -10, 8, 2],\n [6, 1, -6, 4, 10, 7],\n [9, 10, -9, -3, 2, -8],\n [-6, -1, -8, -3, 1, -1],\n [-5, -10, 5, 3, -7, 3],\n [-1, -8, -9, -1, -8, -10]]\nB =\n[[-8, -7, 0, -1, -1, -4],\n [-1, -6, 9, 4, -4, 6],\n [10, -3, -10, -9, -9, -7],\n [8, -2, -5, -2, 3, 5],\n [2, -8, -7, -2, 9, -9],\n [6, 6, -3, 0, -7, 4]]\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[[1, -2, -1, 7, -4],\n [-1, 0, 0, -4, -10],\n [6, -1, 1, -9, 1],\n [-10, 10, -8, 6, -8],\n [1, 1, 0, 3, 0]]\nB =\n[[0, -1, -8, -10],\n [1, -7, 10, 4],\n [5, -8, -1, -9],\n [4, -5, -6, 3],\n [6, -5, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1041", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[1, 4, 3, -7, -7],\n [1, 4, -4, -1, -4],\n [1, -7, 4, 9, 2],\n [-8, -4, -8, 8, -3],\n [-9, -3, 10, 4, 4]]\nB =\n[[6, -3, 7, 5],\n [0, -4, -5, -5],\n [-4, -6, -2, 3],\n [3, 10, 9, 2],\n [6, 1, 5, 0]]\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[[5, -5, -6, 4, -4],\n [-8, -5, 10, 1, -7],\n [4, 0, 2, 8, -9],\n [-3, 0, 10, 3, -8],\n [10, -2, 0, 2, -6]]\nB =\n[[8, 1, -3, -6],\n [9, 10, 2, 10],\n [9, -4, 3, -10],\n [7, 9, -8, 2],\n [-4, -9, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1304", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[-5, 9, -4, 8],\n [-6, 1, -7, 4],\n [1, 8, 8, 9],\n [6, 8, 4, -4],\n [9, 6, 2, 8],\n [8, -8, 8, 8]]\nB =\n[[3, -10, 8, 1, -4, 7],\n [-7, 9, -8, 0, 0, 9],\n [-10, -6, -7, 4, -5, 1],\n [-1, -8, -1, 9, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-78", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-6, 6, 2, 2, 0],\n [2, -4, -8, -9, 5],\n [-8, -8, -1, 4, 0],\n [4, -3, -5, -1, -9]]\nB =\n[[10, 3, -3, 2],\n [-8, -4, -6, -5],\n [-9, -3, -9, -6],\n [-1, -7, 8, 2],\n [-4, 10, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -7, 2, -1],\n [-10, -1, 4, -1],\n [7, -2, -6, 1],\n [-7, -8, 8, 7],\n [5, -5, -6, 9]]\nB =\n[[9, 2, -7, -5, -1, -3],\n [3, -5, -10, -5, 5, -10],\n [10, -3, 10, -9, -8, -10],\n [-4, -5, -7, -1, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "316", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -7, 3, 4, -8],\n [-2, 0, 5, 2, -1],\n [-1, 10, 6, 5, 5],\n [-3, 0, -2, 0, 7],\n [-7, 9, -1, -8, 4]]\nB =\n[[0, 10, -4, -9, 1, -7],\n [10, 8, 2, -9, -1, 4],\n [-4, 1, 8, -8, 10, 2],\n [-1, -7, 3, -3, 8, -10],\n [3, -3, -9, 7, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2031", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -9, -3, 4, 10, 7],\n [8, 2, 0, 6, -6, -7],\n [9, 4, 7, 0, 9, -9],\n [3, 5, -2, 6, -4, 0]]\nB =\n[[-9, 2, 5, -9, 4],\n [4, 0, -7, -4, -9],\n [-6, -10, -5, -9, 7],\n [-6, 0, -2, 0, -8],\n [3, 7, 2, 0, -5],\n [-5, -5, -9, 7, 5]]\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 (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[4, -3, 0, -10, -5],\n [9, 2, 10, -5, -10],\n [6, -9, -10, 10, -3],\n [-1, -2, -1, 1, 8],\n [10, -9, 9, 9, -10],\n [10, -9, 3, -2, 1]]\nB =\n[[2, -10, 1, 9, 3, 10],\n [3, 10, 2, 7, -8, -4],\n [4, -2, 5, -7, -7, -9],\n [-10, 7, 2, 0, 3, -4],\n [-10, -10, 6, 5, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -9, 3, -10],\n [-3, -2, -5, 0],\n [-4, 6, -8, -6],\n [3, 1, 7, 7],\n [-8, 3, 3, 2]]\nB =\n[[-2, -1, -5, 3, 4, 4],\n [2, 6, 4, 6, -4, -9],\n [-6, -1, -2, 6, -1, 6],\n [-4, -3, -9, 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) when matrix A is multiplied by matrix B?\nA =\n[[7, 9, -7, 8],\n [10, -10, -2, 7],\n [4, -10, 3, -8],\n [-9, -8, 1, 3],\n [-7, 10, -4, 1]]\nB =\n[[10, 1, -9, -10],\n [-2, -2, -6, -5],\n [-9, 6, 3, 3],\n [8, 10, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "179", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -2, -4, 5, -3, -3],\n [5, 4, -5, -8, -10, 6],\n [-1, 10, 5, -3, 5, -2],\n [5, -5, 4, -7, -1, -7],\n [9, -10, 5, -5, -4, -10]]\nB =\n[[-8, -6, -9, 7],\n [-7, 9, 4, 8],\n [8, 3, -5, -6],\n [-1, -3, 2, -7],\n [-3, 10, 0, 0],\n [-10, 9, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1733", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -6, 5, -4, -7, -3],\n [-4, 5, -3, -5, 2, 7],\n [7, -8, 7, 7, 0, 3],\n [-4, -4, 6, -3, -6, -3],\n [-3, -4, 10, -7, 0, 0],\n [-10, 2, -4, -10, -10, -7]]\nB =\n[[-10, 6, -1, -8],\n [-3, -1, 3, 5],\n [8, -10, 4, -5],\n [2, -7, -5, -9],\n [10, 1, 8, 5],\n [6, -8, 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 all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -6, 2, 0],\n [8, -4, -4, -9],\n [4, 3, -6, -9],\n [6, 5, -3, -1]]\nB =\n[[10, 0, 0, 10, -6],\n [7, 4, 4, 0, 2],\n [5, 5, 0, 10, -6],\n [3, 9, -1, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-241", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, 6, 2, -3, -7, 1],\n [1, -6, 8, 8, -9, 5],\n [-6, -3, -8, 1, -1, 5],\n [0, 4, -2, -8, -5, 2]]\nB =\n[[-6, -9, 10, 0, 6, -10],\n [-8, 0, 6, -7, 3, -4],\n [10, -3, -6, -2, -10, 10],\n [-7, 9, 0, -2, 9, -4],\n [-8, 7, -4, -10, -6, 5],\n [1, -1, 2, -2, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1006", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -1, 7, -10],\n [-5, -8, -8, 0],\n [7, -2, -10, 3],\n [1, -9, -3, -10],\n [9, -7, 7, -9],\n [4, 8, 7, -2]]\nB =\n[[1, 6, 10, -3, 6, 0],\n [0, -7, 8, 1, -7, -1],\n [-4, 10, 2, 7, -1, -5],\n [1, -2, 8, 7, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 6, -2, 9],\n [5, -4, 4, -4],\n [2, -6, 4, -9],\n [5, -3, 1, -9],\n [6, -7, -5, 6]]\nB =\n[[1, -4, 0, 4],\n [8, -9, -1, -9],\n [-2, 1, -9, 4],\n [4, 10, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, -5, 2, 0, 7],\n [-8, -7, -8, -4, 6],\n [-6, 5, 4, 3, 0],\n [9, 1, 10, 7, 6],\n [0, -9, 8, -2, 5]]\nB =\n[[-4, -8, 3, 6, -6],\n [1, -9, -10, 10, 7],\n [9, -4, 5, 1, -3],\n [9, 8, -2, -4, -7],\n [10, 6, 1, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-10, -1, -1, 3, -5, 9],\n [-1, 8, -4, 1, 2, -2],\n [4, 4, -8, 0, 9, -5],\n [1, -10, 4, 4, 9, 9],\n [4, 1, -9, 2, 0, -4]]\nB =\n[[-9, -7, -2, -7, -5],\n [-3, 1, -2, 9, -1],\n [6, 6, -3, -3, -7],\n [10, -3, -5, 3, -4],\n [5, 9, 8, -3, -4],\n [-4, 7, 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 trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, -1, -1, -5, 9, 4],\n [-6, 9, -6, 0, 3, -4],\n [-10, -7, 5, -3, -10, -5],\n [5, -7, -5, 4, -6, 8],\n [1, -10, -5, -9, 2, 1]]\nB =\n[[3, 4, 7, -3, 8],\n [10, 7, 5, 9, -3],\n [-3, 10, 4, -8, -5],\n [-2, 6, 1, -2, 5],\n [5, 2, 9, -1, -7],\n [4, 8, 7, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[1, -1, 1, 7],\n [9, -1, 3, 2],\n [3, 9, 7, -4],\n [-8, -1, 9, 6],\n [-3, 8, 5, 4]]\nB =\n[[4, 10, 0, 6, 2, 9],\n [-10, 8, 1, -1, -8, 4],\n [4, 1, 9, -3, 10, -7],\n [-10, 2, -2, 5, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, -3, 7, -1, -7, 4],\n [4, -1, -4, 7, 8, -10],\n [-10, -1, 9, 9, -8, 0],\n [-10, -6, -1, 3, 1, 0],\n [-4, -7, 3, 3, 0, 1],\n [9, 2, 3, 3, 7, 0]]\nB =\n[[3, 7, 6, 6, 8, -8],\n [3, -7, -1, -8, -7, 2],\n [-5, 0, 3, -5, 9, -8],\n [-8, 5, -5, 2, 3, 5],\n [7, 4, 0, -2, -6, 5],\n [6, 2, 6, 9, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "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, -10, 3, 5, -4, -1],\n [4, 3, 10, -5, 8, 3],\n [-7, 2, -10, -5, -7, 8],\n [-2, 7, 8, -6, -1, 1]]\nB =\n[[-5, 4, -1, 7, 9],\n [-8, -3, 6, -8, 3],\n [-4, -2, -2, 7, 10],\n [-10, 0, 4, 0, 8],\n [-2, -4, -2, -1, 1],\n [-6, -6, 5, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1266", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -4, 5, 9, -8, 8],\n [-7, 5, 1, -9, -5, 5],\n [2, 9, -8, -8, 6, 5],\n [-8, -7, -6, 6, 5, -9]]\nB =\n[[-4, 8, 6, 2],\n [7, 6, -7, 3],\n [2, 3, -1, 2],\n [-4, -6, -9, 10],\n [-2, -5, -2, -10],\n [-9, -5, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 9, 10, 2, 0, -3],\n [-7, -1, 3, -7, 6, -8],\n [3, -8, -5, -8, -7, -5],\n [8, -6, -6, -10, -5, 7],\n [7, -5, -6, -3, -5, -7]]\nB =\n[[0, 10, -10, 8],\n [-2, -6, -3, 6],\n [-8, 0, -10, 9],\n [3, -10, -4, 5],\n [-10, -9, 2, 7],\n [4, -6, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "573", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, -2, 3, -3, -4, 0],\n [-8, -2, 0, 2, -8, -2],\n [6, 6, 1, 2, -2, 1],\n [10, 9, -10, 0, -1, -3]]\nB =\n[[-2, -6, -10, -2],\n [-4, 9, -4, 2],\n [-7, -9, 9, -4],\n [2, -4, 4, 4],\n [-5, -2, -9, -8],\n [5, 5, 2, 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 (3, 2) of the product of the following matrices:\nA =\n[[8, 8, -8, -6],\n [6, -10, -7, 10],\n [-2, 2, 4, 6],\n [5, 3, 4, 6]]\nB =\n[[7, 2, -6, -4],\n [-8, -3, -2, -5],\n [0, -3, -9, 6],\n [8, -3, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "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, 5, 7, 4, 2, -6],\n [-10, -7, -1, -3, -2, 9],\n [-10, -9, -9, 7, 8, 7],\n [-2, 4, -2, 9, 7, 2]]\nB =\n[[-7, 0, -6, 9, -7],\n [-3, 4, -1, 6, -2],\n [4, -4, 10, 3, 1],\n [0, -5, -9, -8, -6],\n [-8, 8, -5, 6, -8],\n [6, -4, -8, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1468", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, 7, -9, 10, -2],\n [-3, 6, 1, 2, -1],\n [-8, -7, 6, -5, -10],\n [6, 10, 10, -4, 9],\n [7, -4, -3, 0, 1],\n [-5, -10, -6, -9, -9]]\nB =\n[[3, 6, -8, -8, -8, -3],\n [-7, 6, 1, 3, -4, 2],\n [-7, -9, -6, 8, -4, -1],\n [-10, 8, 7, 3, -1, 4],\n [2, -8, 4, -7, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[8, 1, 8, 10],\n [8, -8, -8, -2],\n [6, 10, 5, -4],\n [-3, 7, -4, 5],\n [1, 3, -1, 8]]\nB =\n[[8, -1, -3, -10, 2],\n [-10, 6, -3, -3, -10],\n [-9, 1, 6, 6, -5],\n [-9, 5, -4, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1711", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -2, 10, 10, 10],\n [-5, -9, 8, -5, -3],\n [-8, 10, -3, 2, 2],\n [-2, -9, 2, -4, -8],\n [1, 10, 6, 3, -4]]\nB =\n[[10, -2, 9, -7],\n [10, -5, -10, 6],\n [-2, 7, -8, 3],\n [-2, 2, 6, 6],\n [9, 0, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1711", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 8, 10, -7, 3],\n [5, -2, -3, 4, -7],\n [9, 10, -10, 8, 9],\n [6, -7, 10, 3, -2],\n [-1, -2, 0, 7, -7],\n [-8, 5, 6, 3, -1]]\nB =\n[[10, -3, 0, 9, -7],\n [-7, -10, -7, -7, 7],\n [-6, 7, -2, 8, -1],\n [-4, -6, -8, -5, -4],\n [9, 10, 8, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-858", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -8, -7, -4, -4],\n [0, 1, 8, -7, -9],\n [-3, -6, -1, -1, 8],\n [8, -9, 7, -5, -7],\n [-1, -3, -9, -7, 2]]\nB =\n[[4, -2, 5, 5],\n [-7, -6, -6, 6],\n [-6, -4, 0, -7],\n [-3, -2, 4, -7],\n [-1, 4, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1091", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 10, -1, -5],\n [-5, -5, 4, 7],\n [-8, -6, -4, -6],\n [2, -6, -2, 5]]\nB =\n[[1, -3, 6, 3],\n [1, 8, 10, 7],\n [-10, 1, 5, -7],\n [6, 10, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "780", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 4, -5, 7, -7, -1],\n [-2, 5, 10, -9, -9, 4],\n [10, -5, -7, -10, -10, -4],\n [-6, -5, -5, -7, -3, 6]]\nB =\n[[1, -6, -4, 9, 5],\n [5, 3, 10, 1, 0],\n [0, 5, 7, 10, 7],\n [-8, -1, -9, -6, -9],\n [4, -6, -8, 2, -3],\n [2, -3, -5, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1497", "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, -6, -5, 10],\n [6, 6, -6, 8],\n [4, 5, -9, -5],\n [5, 4, -9, 10],\n [5, 6, -8, -6]]\nB =\n[[6, -7, 9, -7, 2],\n [0, -10, 4, 6, 9],\n [4, 9, -3, 2, 5],\n [-6, 8, 2, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1986", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-5, -10, -7, -7, 8],\n [-1, -5, -5, 7, 0],\n [-4, 1, 9, 2, 4],\n [5, 1, 0, 4, 4]]\nB =\n[[8, -7, -3, -8, 7],\n [3, 4, 1, -2, -7],\n [-6, 5, 3, 8, -7],\n [-4, 4, 5, 6, 1],\n [-6, -5, 7, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 4, -8, 5, 10, -6],\n [0, 8, -2, -1, 7, 5],\n [-5, 1, 2, 6, 7, -3],\n [-7, -6, 4, 3, 3, -6]]\nB =\n[[5, -5, -2, -8, 7, -2],\n [0, 5, -4, -8, -1, -8],\n [7, -8, 1, 10, 6, 8],\n [-6, 0, -3, 4, -8, 0],\n [-3, -5, -8, -1, -3, -5],\n [-6, -6, -1, 1, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-797", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 9, 6, -10],\n [9, -2, -8, -2],\n [1, 1, 9, 6],\n [-5, 10, 0, 2],\n [8, -9, 10, 6],\n [-7, -1, 3, 9]]\nB =\n[[5, 8, 2, 7, 6, -6],\n [-9, 8, 4, -6, -9, -8],\n [-4, -10, 10, -5, -3, -5],\n [10, 10, -9, -6, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-280", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 4, -7, 0, 0, 4],\n [0, 9, -6, 7, 7, 7],\n [0, 2, -3, 5, 8, -4],\n [2, 8, -2, -3, 6, -7],\n [0, 0, 5, 4, -5, 6]]\nB =\n[[8, 1, 9, -2],\n [8, 1, 7, 7],\n [-9, -7, 0, 3],\n [-8, 7, -7, -10],\n [10, 3, -4, -6],\n [-1, 9, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "426", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 6, 6, 9, -8],\n [9, -10, -5, -10, 6],\n [6, -7, 4, 5, 9],\n [1, -6, 8, 6, -6],\n [1, -4, 2, 5, 1],\n [-5, 6, 1, -9, -8]]\nB =\n[[-2, 3, -5, 6, -3, 2],\n [10, 7, 10, -6, 2, 7],\n [-2, 7, 6, -3, -9, 8],\n [-2, 4, -3, 2, -1, 0],\n [0, 4, 10, -5, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-449", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 2) of the product matrix AB given:\nA =\n[[-8, 10, -7, 3],\n [-8, 4, 0, -3],\n [-9, 9, -8, -3],\n [-7, 1, 7, 7],\n [-1, 4, -7, -9],\n [-10, 1, -4, 10]]\nB =\n[[0, 7, 6, -8, -3, -2],\n [-9, 9, -3, 7, -8, 10],\n [9, -9, -2, -5, -2, 8],\n [-5, 9, -7, 4, 5, 9]]\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[[-8, 8, -10, 10, -3, 9],\n [3, -6, -8, 6, -2, -10],\n [-8, 8, 8, -8, -6, -10],\n [9, -7, 10, -8, -5, 8],\n [-7, -3, 6, 0, -6, -3],\n [-1, -9, -1, 2, -8, 3]]\nB =\n[[5, 2, -6, -7, -2],\n [-6, 0, -6, 8, -2],\n [2, 0, -9, 8, -4],\n [-9, -4, -7, -7, -6],\n [-1, -4, 6, 0, -2],\n [3, 2, -1, 8, 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 product of the following matrices:\nA =\n[[8, 7, 0, 2],\n [7, 1, 6, -8],\n [-1, 4, -7, 0],\n [-6, -1, -8, -3]]\nB =\n[[-7, -2, 7, 9, 6, -2],\n [-4, -2, 9, 6, 0, -6],\n [2, -1, -8, 3, -8, 5],\n [3, -4, -3, 4, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "220", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -6, -3, 7],\n [2, -3, -1, -4],\n [9, 6, 1, -1],\n [-6, -10, 5, 2]]\nB =\n[[7, 2, -5, 10, -10],\n [10, 5, 4, 6, 3],\n [0, -9, -2, -5, -1],\n [-9, -9, -9, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-514", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -7, -4, -2],\n [3, 9, 1, 8],\n [0, -1, 9, -5],\n [-1, -9, 4, -2],\n [8, -2, 8, 8]]\nB =\n[[3, -9, -1, 7],\n [7, -6, -7, -2],\n [-8, -1, -3, -1],\n [-9, 3, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-231", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 8, -6, -1],\n [6, 1, 3, 5],\n [1, 6, -1, -6],\n [6, 7, 3, -10]]\nB =\n[[10, 10, -5, -7, 9, 3],\n [8, -5, 2, -4, 1, 9],\n [-3, 10, -1, -9, -5, -1],\n [-9, -8, -8, -8, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1445", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -4, 0, -4],\n [6, 1, -2, -2],\n [-9, -1, 2, 1],\n [-5, -7, -1, -7],\n [10, 9, 1, 7],\n [-1, -8, 2, -2]]\nB =\n[[-3, -7, 9, 6, -9],\n [-8, 3, -3, -8, 9],\n [-2, 1, 1, -5, -8],\n [-7, -4, -1, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1649", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 8, -5, -4, -9, 1],\n [-3, 5, 10, -6, 9, 0],\n [0, 4, 1, -2, 2, -6],\n [2, 3, -2, 1, -3, 1],\n [-8, 10, -10, 6, 10, 4],\n [-8, 1, -3, -9, 7, -3]]\nB =\n[[-5, 0, -10, -10],\n [6, 7, -10, -9],\n [4, 2, -6, -8],\n [-10, 2, -5, 2],\n [2, 8, -4, 6],\n [-4, -9, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "582", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 5, -9, -2, 1, -9],\n [-7, 1, 6, -8, 7, -2],\n [-4, 8, 9, 1, -1, 9],\n [-8, -9, -7, 1, 5, 8]]\nB =\n[[-3, 8, 4, 7],\n [-5, 8, 4, 0],\n [1, -3, 9, 3],\n [-9, 2, 6, -10],\n [-10, -3, -9, 4],\n [6, -2, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-343", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -3, -6, -2],\n [9, 1, 1, 4],\n [-8, 1, -2, -8],\n [-10, -1, 9, 10],\n [1, -10, 1, -2]]\nB =\n[[5, -2, -1, 5],\n [-5, -4, -10, 6],\n [2, 2, 0, 9],\n [0, 6, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 1, -10, 9],\n [-2, 9, -7, 6],\n [1, -2, -7, 6],\n [3, 9, -1, 0],\n [-4, -9, 10, 9],\n [-5, -10, 0, 3]]\nB =\n[[0, 2, 8, 3],\n [-2, -8, -4, 3],\n [7, -4, -1, 9],\n [10, -3, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-450", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -9, 1, -10, -1],\n [10, -7, 2, -7, -9],\n [-3, -8, -6, -8, 4],\n [5, -6, -6, -10, 4],\n [-8, -4, -6, 6, 2]]\nB =\n[[-5, -9, -8, -10],\n [7, 5, -8, 10],\n [-3, 5, 2, 4],\n [-2, 0, -3, 8],\n [10, -6, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1035", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 5) of the product matrix AB given:\nA =\n[[10, -4, -9, 10],\n [-9, 9, -3, 9],\n [7, -4, -2, -3],\n [4, 7, 1, -9],\n [-8, -7, -1, 3],\n [-1, -10, 8, -10]]\nB =\n[[-10, 2, 10, 2, 3, 9],\n [-8, -10, -6, 8, -10, -9],\n [6, -10, -2, 3, 0, -1],\n [6, 1, -5, -3, 1, -4]]\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 when matrix A is multiplied by matrix B?\nA =\n[[1, 4, 5, -1, -2],\n [-8, -10, 10, 8, -6],\n [-8, -7, 0, -5, -4],\n [7, -6, 1, -2, -3],\n [8, -6, 8, 4, 7]]\nB =\n[[6, -3, -9, -10, -5, 9],\n [5, -9, 3, 6, -1, -10],\n [2, 1, -7, 9, -7, -3],\n [-9, -8, -5, -4, -7, 8],\n [3, 1, 10, -9, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[8, -7, 9, 10],\n [0, -10, -10, -3],\n [-1, 0, -9, -10],\n [-3, 0, -5, -8],\n [-2, -4, -6, -1],\n [-2, 8, 5, 4]]\nB =\n[[6, 6, -10, -2, -9, 4],\n [-6, 6, -9, -3, 10, -1],\n [10, -7, 3, 9, -8, 1],\n [3, 0, 9, 6, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -10, 10, 4, 5, -1],\n [-9, -4, 2, 1, 0, -6],\n [9, 8, 7, 5, 8, 8],\n [-6, -8, 2, -8, 1, -10],\n [4, -1, -7, -4, 3, 2],\n [2, -9, -9, -8, 10, -1]]\nB =\n[[7, 10, 6, 9, -10, -5],\n [-5, 2, 5, -5, 3, 0],\n [4, 9, -4, 2, 3, 9],\n [-9, -9, -2, 6, -6, 8],\n [-7, 3, 9, 4, 9, 9],\n [1, 4, 4, -1, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2546", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 6, -6, -4, -8],\n [-3, -2, 5, -9, -9],\n [9, -1, 3, 10, 9],\n [6, 0, -2, 7, 1],\n [-2, -4, 7, -2, -4]]\nB =\n[[2, 7, 3, -7],\n [-9, 10, 6, 2],\n [3, 7, -10, -10],\n [-1, -4, 7, -2],\n [10, 2, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -1, -3, 10],\n [9, 3, -10, -4],\n [-6, 6, 0, -9],\n [-7, 3, -9, -2]]\nB =\n[[-8, -4, -1, 3, 3, -1],\n [-3, -1, 9, -5, -5, 2],\n [-1, -6, 4, 9, 6, 5],\n [2, -8, -5, -5, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-346", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -6, -10, 7, 2],\n [-1, 0, -1, 5, 7],\n [6, 10, 0, 3, -1],\n [6, -4, -3, -2, -8],\n [-1, 3, -5, 5, -9],\n [4, 10, -6, 4, -6]]\nB =\n[[5, 2, 3, 0],\n [8, 10, -4, -7],\n [-3, 4, 4, 1],\n [7, -10, 7, 8],\n [-7, 8, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "340", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[-3, -1, 3, 0],\n [6, 5, -4, 7],\n [-9, 6, -2, -10],\n [2, 5, -7, 10],\n [-3, 8, 6, 1],\n [-4, 5, -2, 4]]\nB =\n[[-1, 7, 4, 7, 7],\n [-1, -8, 3, 9, 10],\n [4, 6, 2, 0, 1],\n [-9, 3, 7, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 0, -3, 5, 3],\n [-9, -10, -9, -6, 0],\n [-6, -7, 0, -5, -4],\n [3, -1, -6, 4, -8],\n [-4, -9, 0, -7, 0],\n [-2, 5, 9, 7, 4]]\nB =\n[[1, 10, -10, 0, 3, -5],\n [-3, -5, -8, -7, 4, 9],\n [-4, -1, 6, -4, 8, 8],\n [-10, 3, -7, -5, -6, 2],\n [10, -9, 8, -6, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2591", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-2, 8, 10, 0, 10, 8],\n [-4, 0, -2, -9, -5, 10],\n [5, -3, -5, 6, 9, -10],\n [1, 7, 5, 2, 7, 3]]\nB =\n[[-5, -1, 10, -2],\n [6, -1, -5, -5],\n [7, -7, -9, 8],\n [-9, -3, -6, 4],\n [-1, -6, -1, 4],\n [-8, 2, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-120", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, 5, 0, -2, -9, -4],\n [-3, -2, 0, -10, 5, -1],\n [-6, -8, 3, -7, -2, 3],\n [-2, 9, -2, -3, 5, -7],\n [-4, 6, 3, 7, 7, -4],\n [-2, -2, 10, -8, -8, -6]]\nB =\n[[-10, -2, -5, 6, -6, -10],\n [3, -9, 6, -7, 3, -1],\n [-1, 8, -2, -10, -2, -1],\n [4, -7, 10, 4, 5, -9],\n [-2, 10, -2, 9, -5, -4],\n [-4, 7, -3, 3, 1, -2]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, -3, 5, -9],\n [-4, -1, -4, -1, 5],\n [5, 2, 2, -10, -7],\n [-2, 8, -10, 5, -4]]\nB =\n[[0, -7, -3, -9, 10, 8],\n [-3, -8, -2, -10, 0, 1],\n [3, 3, 3, 3, -1, 7],\n [9, -2, 6, -7, 3, 6],\n [-9, -5, -5, 0, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-3, -1, -3, 9, -10, -4],\n [3, -7, -4, 8, -8, 10],\n [-9, -10, -5, 0, 4, -6],\n [4, 2, 8, -3, -5, 0],\n [3, -3, -8, 8, 5, -8]]\nB =\n[[4, -6, -1, 0, -9],\n [-7, -1, -5, 3, -5],\n [3, 5, 4, 9, -5],\n [-3, 2, -4, 0, -4],\n [9, -8, -2, -2, -2],\n [3, -4, 6, 10, 9]]\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 product of the following matrices:\nA =\n[[10, -1, 0, 1],\n [-9, -6, 2, -1],\n [3, -10, -5, -4],\n [-7, 8, 0, -10],\n [-8, -1, -2, -3]]\nB =\n[[9, -10, -4, 2, -2, 7],\n [0, -7, -2, 10, 9, -3],\n [2, 6, -5, 5, -9, -10],\n [10, 9, 5, 7, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-445", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -6, -8, -4],\n [3, -6, 3, 3],\n [5, 9, -1, -2],\n [2, 3, 0, -10]]\nB =\n[[-7, 3, -10, 6],\n [-2, 6, 1, -4],\n [7, -7, 8, 9],\n [6, -2, -7, 0]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-8, 6, -2, 1],\n [-3, 0, -10, -3],\n [-10, 5, -6, -7],\n [-8, 1, -1, 0],\n [6, 10, 4, 6],\n [-8, -10, 1, -5]]\nB =\n[[-10, 1, -5, -8, 9],\n [8, -9, 8, -7, -1],\n [3, -7, -2, 2, 2],\n [8, 5, -8, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "363", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 6, 0, -6, -10],\n [-2, 1, -1, 8, -9],\n [3, 4, -7, -8, -5],\n [1, -1, -1, -8, -10],\n [-2, 8, -6, -5, -1]]\nB =\n[[-10, -4, -6, -6],\n [-1, -8, 3, -5],\n [-4, -1, 5, 0],\n [8, 8, 4, -4],\n [-8, -4, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1151", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, 1, 5, -5, -7, -1],\n [2, -3, -8, 6, 3, -3],\n [6, 6, 8, -9, -9, -4],\n [-6, -2, 8, -6, 5, -9]]\nB =\n[[-7, 2, 4, -6],\n [1, 7, 9, -6],\n [-3, -7, -10, -4],\n [-6, -4, 3, 6],\n [8, 7, 0, -9],\n [-7, 7, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-82", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-10, -2, -7, 3, -10],\n [3, -7, 4, 1, 6],\n [-5, -6, 7, 5, 6],\n [9, -3, -1, 10, 10]]\nB =\n[[2, 4, 7, -5, -5, 0],\n [-6, -6, 4, 4, -10, -7],\n [-6, -2, 4, -10, -1, -7],\n [-7, -2, -3, -4, 0, -10],\n [5, -7, -2, 6, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -3, 8, 6, -5, 5],\n [-3, -1, 10, 0, 0, -6],\n [-6, -3, -1, -1, 6, 2],\n [-9, -8, -2, -1, 7, 1]]\nB =\n[[7, 3, -1, -10, 0],\n [8, 4, -8, -9, -8],\n [-5, -9, 7, 10, 5],\n [3, 8, -3, 0, 7],\n [0, 1, 10, 1, 5],\n [1, 5, 5, 5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1649", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -9, -4, -6],\n [10, 8, 9, 10],\n [-3, -9, 10, 10],\n [-1, 6, 3, 1]]\nB =\n[[-3, 2, -10, -3, 6],\n [-3, -2, -5, -9, 1],\n [2, 7, 10, -1, 8],\n [-9, 0, -8, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "268", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -3, -10, 7, 9],\n [-8, 4, 6, 2, -1],\n [5, 10, -6, 4, -7],\n [3, 2, 6, -6, -10],\n [2, -5, 4, 7, 7],\n [8, -3, 3, -2, -3]]\nB =\n[[5, 4, -3, 7, 0],\n [-10, -7, 7, 8, -2],\n [0, -9, 4, -9, 4],\n [0, 8, 5, -2, -6],\n [10, -3, 2, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -4, -1, 3, -10],\n [5, -3, 7, -3, 2],\n [-10, -2, -3, -2, -10],\n [-2, 10, -10, 3, -10]]\nB =\n[[0, -5, -9, -4, 7, -10],\n [-1, -7, -2, 6, -6, 7],\n [0, 7, 8, -9, -8, -6],\n [7, 2, 7, 2, -9, 4],\n [8, -3, 9, -10, -3, 4]]\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 product of the following matrices:\nA =\n[[8, 3, -5, -7],\n [10, -2, 0, -3],\n [-10, -2, -6, -1],\n [-8, -9, -3, -9],\n [4, -6, 6, 2]]\nB =\n[[5, 10, -3, -7],\n [5, 4, 2, 4],\n [2, -4, -5, 9],\n [-6, -6, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1110", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 4, -10, 2, 1, -6],\n [4, 0, -6, -10, 4, 10],\n [-6, 6, 10, -7, -2, -8],\n [-3, -10, 3, 0, 2, 5],\n [2, -10, 8, 8, -8, 10]]\nB =\n[[6, 5, -1, -1, 1],\n [-10, -2, -1, -5, -3],\n [8, -8, 5, 8, 8],\n [5, -1, -4, 5, 1],\n [-7, -2, -3, 8, -1],\n [7, -7, 7, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -3, -8, 5],\n [-5, -3, 2, -3],\n [3, -2, 7, -5],\n [3, -4, -9, 7],\n [-10, 4, 10, -3]]\nB =\n[[0, 6, -9, -4, 2],\n [-5, 1, 6, -2, -3],\n [-7, 5, 5, -3, 0],\n [-3, -5, -10, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1398", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, -4, 2, -8, 9],\n [-9, 8, 9, -6, -4],\n [6, -1, 4, 8, -5],\n [0, 5, 1, 4, -2],\n [8, -10, 2, -5, -8],\n [-2, 0, 5, 1, -10]]\nB =\n[[-9, 4, 5, 5, -3],\n [-3, -2, -7, -10, 6],\n [9, 7, -8, 10, 0],\n [10, 1, 2, 4, 4],\n [-8, 9, -5, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "822", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -8, -3, 5],\n [10, -9, 7, 3],\n [0, -3, -3, -3],\n [1, 3, -4, 1]]\nB =\n[[1, 1, -8, 3, -7, 7],\n [-8, -5, 0, 0, -5, -5],\n [-4, 0, -2, 7, 0, -2],\n [-3, 7, -5, 4, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 8, 8, 0, -4, 6],\n [-1, 7, 5, -3, -8, 3],\n [4, 3, -7, 2, -5, 7],\n [7, -5, 8, -1, 0, 9],\n [-5, -10, -2, 0, -5, 2],\n [-3, 5, 2, 2, 4, -7]]\nB =\n[[3, -2, -7, -9, -8],\n [1, 3, -2, 6, -6],\n [2, -2, 6, 1, -1],\n [2, -4, 6, -5, 3],\n [6, -2, 3, -10, -1],\n [6, -3, -1, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "587", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 6, -6, 10],\n [-4, 0, -4, -2],\n [6, -5, 3, 9],\n [-5, -10, 0, -3],\n [-1, 7, -10, 9]]\nB =\n[[-5, -5, 6, 3],\n [10, -10, 6, -2],\n [1, 5, -2, -9],\n [-3, -7, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1157", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[0, 1, -2, -5, 3, 1],\n [9, 6, 4, 3, 4, -1],\n [6, 9, 9, -5, 0, 3],\n [3, 1, -8, 10, 7, 4],\n [-7, 9, -7, 8, 3, 7],\n [-7, 9, 10, 4, 9, 7]]\nB =\n[[6, 8, 8, -8, 6],\n [-5, -10, 0, -6, -8],\n [0, 7, 4, 5, -6],\n [-6, -4, 10, -7, 10],\n [-9, 7, -8, 4, -6],\n [-8, -5, 1, 5, 10]]\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 product of the following matrices:\nA =\n[[-1, -10, -8, -1, -7],\n [-6, -2, -3, -3, 7],\n [8, -6, -3, -10, -8],\n [-9, -8, 3, 10, 1],\n [6, 2, 5, 9, -10]]\nB =\n[[5, 2, 3, -5],\n [10, 0, -2, -4],\n [7, -1, -8, -2],\n [9, -9, -7, -5],\n [10, 0, -8, -7]]\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 product of the following matrices:\nA =\n[[1, 7, 1, 3, 10],\n [-7, -3, -4, -10, 5],\n [-8, -5, -6, 4, 10],\n [2, 8, 9, 0, -9],\n [4, 8, 8, 8, -5],\n [-1, -5, 4, 7, 10]]\nB =\n[[-8, 9, 0, -5, -6, 0],\n [-8, -5, 3, 2, -9, 1],\n [3, 8, -10, 6, -9, -6],\n [2, 3, -2, 4, 3, -4],\n [-5, 9, 2, -7, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2541", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 9, 1, 5],\n [8, -2, -8, -9],\n [8, -4, -3, 7],\n [3, 2, 5, 0],\n [3, 7, 3, -7],\n [1, -7, -5, -8]]\nB =\n[[5, 1, -7, 2, 5],\n [-10, 2, 7, 3, 7],\n [0, 5, -6, 9, 10],\n [-3, 0, 2, 5, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "87", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 2, 8, 5],\n [2, 6, 4, 7],\n [5, 6, -1, 4],\n [-2, 7, -3, 4]]\nB =\n[[2, -6, -10, -8, 9, 0],\n [-2, 0, -5, 6, 9, -10],\n [7, 10, -10, 10, 0, 2],\n [4, 5, -4, 4, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "140", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 2, 10, 6],\n [8, -9, -4, -1],\n [-8, -5, 2, 2],\n [-7, -5, 3, -4],\n [9, -5, 1, 7]]\nB =\n[[4, -10, -10, 9, 1],\n [-2, 2, -6, -3, -6],\n [5, 8, -6, 1, 0],\n [0, -3, -5, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "488", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -8, -6, 5, 5, 3],\n [1, 6, -6, 5, -1, 4],\n [5, -9, -10, -10, 4, 7],\n [-7, -5, -3, -4, 1, -5],\n [10, 10, 5, 6, 2, -5]]\nB =\n[[-2, 0, 2, -1, 4, -6],\n [-7, -8, -10, 5, 0, -2],\n [-9, -2, 5, -7, -6, -1],\n [-2, -8, 1, -5, -1, 8],\n [8, -2, -3, 7, -3, -3],\n [10, 6, 1, 8, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "664", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, -7, 0, 10, -2],\n [10, 8, -7, -7, -1],\n [-2, 3, -4, -6, -10],\n [2, -6, 7, -8, -6],\n [1, -6, -3, -4, -10],\n [-9, -1, -5, 0, -1]]\nB =\n[[1, 8, 4, 4],\n [-8, 9, 0, -4],\n [7, 4, -10, -5],\n [2, -3, 2, 5],\n [3, 9, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1543", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-6, 7, 3, -10],\n [6, -6, -3, -6],\n [3, 2, 9, 10],\n [-2, 6, 1, 8]]\nB =\n[[-6, 9, -6, 3],\n [8, -7, 10, -9],\n [7, 6, -4, 7],\n [0, -8, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -7, 6, -6],\n [-5, -5, 3, -4],\n [-8, -3, 3, 0],\n [-2, 3, 7, -4],\n [4, -8, -7, -10],\n [-2, 1, -7, -3]]\nB =\n[[0, -3, -9, -2, 2, -3],\n [-4, 6, 4, 0, -2, 10],\n [-1, 3, 1, -9, -9, -5],\n [-10, 0, -7, 6, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -9, -4, 8],\n [-4, 4, -8, -4],\n [10, 5, 6, 6],\n [3, -2, -2, -5]]\nB =\n[[5, 2, 0, 7, -3],\n [-8, -9, -6, 10, -1],\n [6, 4, -6, -2, -10],\n [7, 10, -2, 0, -5]]\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 value at position (1, 5) of the result:\nA =\n[[-4, 5, -8, 0],\n [-1, 6, 5, -2],\n [6, 7, 1, -2],\n [-10, -9, 4, 5],\n [-5, 3, 7, -4],\n [4, -8, -3, -8]]\nB =\n[[-3, -7, 0, -7, 9],\n [1, 9, 2, 8, -1],\n [2, 6, 5, -1, -4],\n [1, 3, 9, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -10, -8, -1, 3, -3],\n [10, -1, -10, -10, 3, 5],\n [4, 3, 0, -9, 9, 2],\n [3, -7, -6, -2, -4, -4],\n [-10, -2, 3, 0, -9, -5],\n [-9, -4, -8, 7, -9, 1]]\nB =\n[[-8, 1, 10, -6],\n [-1, -1, -3, -7],\n [5, 4, -3, 4],\n [0, 2, 5, -2],\n [10, 9, -6, 7],\n [6, 0, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-285", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 1, -10, 4, 1, 8],\n [-8, 9, -10, -9, -1, -10],\n [6, -1, 4, 10, -2, 2],\n [9, -7, 4, 9, -3, -2],\n [-5, 5, -5, -2, -1, -3]]\nB =\n[[-3, 10, 1, -10, -6],\n [4, -6, -5, -4, -10],\n [4, 0, 7, -2, 1],\n [1, -5, -2, -10, 5],\n [3, -7, -9, -7, 0],\n [-5, 10, -9, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-346", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 5, 2, -10, 8, 8],\n [2, -8, 1, -10, -6, 6],\n [-6, 1, 4, 8, -7, 4],\n [-10, 6, 10, -3, 8, 10],\n [8, 9, 9, 10, -4, 8]]\nB =\n[[9, -3, -9, -4],\n [8, 5, 6, 2],\n [10, -5, -4, 2],\n [-2, 7, 0, 7],\n [-3, -4, 5, -4],\n [9, -3, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "814", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -4, 4, 5, -8],\n [-6, 7, -2, 4, 1],\n [3, -1, 3, -1, 8],\n [0, 5, -10, -2, -3],\n [6, 7, -10, 2, -2]]\nB =\n[[-4, -9, -7, -10, 9],\n [4, 3, -9, 0, 7],\n [-7, 6, 2, -7, 0],\n [2, -4, -9, -5, -10],\n [-5, -1, -2, 2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "238", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 8, -5, 4],\n [-2, 7, 4, -8],\n [-10, -2, -4, 1],\n [4, 7, -3, -5],\n [-10, -2, -5, 3],\n [-2, 9, -8, 6]]\nB =\n[[-5, -10, 10, -6, 4],\n [2, -6, 8, 7, -7],\n [-5, 2, -5, 10, 2],\n [0, 8, 0, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -6, -6, 0],\n [-9, 7, 9, 10],\n [-8, 5, 10, 5],\n [-3, 2, 5, -4],\n [6, 2, 2, 6],\n [0, 5, -6, 6]]\nB =\n[[7, -6, 8, 0, -8, 1],\n [4, 1, 7, -6, 7, 9],\n [-3, 0, -3, 0, 5, 1],\n [-9, -8, -4, 6, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-207", "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, -7, -3, 5, 9],\n [4, -7, 3, -2, -6],\n [-5, -8, -6, 2, -9],\n [5, -2, 10, -3, 10],\n [8, 10, -7, 9, -8]]\nB =\n[[-6, 7, 1, -5, 10, -10],\n [9, 9, -3, -10, -3, -6],\n [-4, -5, -4, 9, 9, 5],\n [2, 2, -10, -7, 9, 4],\n [3, 7, 2, 5, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2325", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 0, -3, 0, -4],\n [5, 6, -9, 3, -10],\n [6, -6, -4, 5, -6],\n [-3, -9, -7, -7, -6],\n [8, 5, 5, -7, -9],\n [-7, -3, -2, 9, -6]]\nB =\n[[-4, 2, 10, -4],\n [8, 10, -10, 9],\n [-8, -8, 2, -7],\n [6, 8, -10, -6],\n [5, 3, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-566", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -10, 3, 6, 7],\n [-4, -3, 10, -1, 7],\n [-10, -9, -10, -8, 2],\n [-4, -9, -6, 10, 7],\n [-6, 10, 8, -4, -5],\n [1, -6, 0, 3, -2]]\nB =\n[[-7, 3, 8, -8, 0],\n [-8, 7, 8, 4, 7],\n [1, -4, -3, -9, -3],\n [-7, 3, -3, -9, -2],\n [7, 5, -9, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-492", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 2, -10, 4],\n [-5, 1, -6, 3],\n [4, -5, 6, -6],\n [-1, 2, 0, -2],\n [-10, -3, 2, -5]]\nB =\n[[-6, 9, 9, 9, -5, 0],\n [8, 6, 3, -3, 0, 6],\n [-8, -9, 0, -2, -3, -6],\n [6, -2, 2, 10, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1350", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[-7, 2, 10, -9, 2, 8],\n [-8, -3, -1, -4, 1, 4],\n [-2, 5, -3, -3, 3, 4],\n [-10, 7, 7, 0, 0, -5]]\nB =\n[[-5, -7, -5, 1, 2, 6],\n [-3, 1, 0, 3, 5, -5],\n [4, -3, 1, -3, 3, -10],\n [-8, 2, 2, -7, 3, 6],\n [-9, 5, -7, -6, -7, 7],\n [-5, -1, 6, -3, -8, 9]]\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 product of the following matrices:\nA =\n[[8, 2, 1, -7, -8, 1],\n [6, 5, -8, 3, 4, 3],\n [3, 10, -1, 8, -4, -8],\n [-6, -4, -2, -9, 3, 3],\n [2, -2, -2, -3, -3, 9]]\nB =\n[[-7, 5, -7, -10, 1],\n [0, -3, 4, -5, 8],\n [1, 2, 4, 5, -4],\n [-10, 8, -10, -5, -5],\n [-2, 6, -4, -7, -3],\n [4, 8, 0, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1694", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -10, -2, -6, 1],\n [3, -1, -3, -10, 9],\n [-2, -4, -5, -4, 7],\n [8, -6, 7, 2, 9],\n [-5, 4, -6, -10, -1],\n [9, 9, -4, 1, 5]]\nB =\n[[-1, 7, 9, 9, -2, -1],\n [-7, 5, 10, -8, 0, -4],\n [-8, -8, -3, -9, 0, 9],\n [0, 0, -3, -1, 8, 9],\n [-1, 8, 2, -4, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2096", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 6, -6, 9, -7, 1],\n [-10, -1, 1, -10, -5, -10],\n [-3, 6, -6, -9, 9, -5],\n [-2, -10, 4, 10, -2, 6],\n [8, 10, -3, 4, -7, -4],\n [-1, -6, 10, 5, 3, -1]]\nB =\n[[-5, -3, 8, 0],\n [9, -9, -2, -8],\n [6, -10, 4, 3],\n [1, 5, -9, -7],\n [9, -6, 6, -6],\n [7, 7, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 3, 8, -4, -3, 4],\n [-4, 5, 7, 1, -10, 10],\n [-1, 2, -9, -1, -7, -6],\n [8, 1, 0, -6, 7, 2],\n [-10, -2, 8, -6, 1, 4]]\nB =\n[[-3, -9, -7, -9, 10, 9],\n [9, 4, 10, 0, -5, 1],\n [-9, 1, -5, 1, 9, -5],\n [-6, -6, -2, -7, 1, 5],\n [-5, -3, -9, -4, -8, 8],\n [0, 8, 10, 10, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2543", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[8, 6, 6, -4, -3],\n [8, -2, 3, -9, 10],\n [-4, 8, 9, -8, -9],\n [-6, -4, -8, -9, 7],\n [-1, 7, 5, -2, -8],\n [9, -4, 0, 5, -3]]\nB =\n[[3, -5, 7, 10, 0],\n [-5, 10, 3, 4, -6],\n [-7, -5, 8, 9, 9],\n [-7, -5, -4, -7, 6],\n [-10, -10, 0, -7, 0]]\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 when matrix A is multiplied by matrix B?\nA =\n[[9, 5, 0, -10],\n [9, 2, -7, 7],\n [-6, -3, 9, 3],\n [9, 5, 8, 6],\n [0, -5, 10, 2]]\nB =\n[[5, -9, 4, -10, -3, 8],\n [-2, -2, 1, 1, -7, -6],\n [2, -9, -2, -1, -3, -10],\n [2, 1, 2, -9, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-657", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 1, 1, 10],\n [5, -9, -2, 8],\n [0, 4, 0, 5],\n [-9, -3, 6, -4]]\nB =\n[[1, 2, 0, 2, -10, 9],\n [-1, 3, 7, 5, -6, 7],\n [-2, 7, -8, 10, 10, 4],\n [1, -8, 9, 5, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 4, 0, 9],\n [5, 5, -2, -8],\n [1, 1, -4, -2],\n [-9, 6, 10, 1],\n [-10, -5, -5, 0]]\nB =\n[[-8, 7, 3, -4],\n [4, 2, -10, 0],\n [5, 3, -5, 9],\n [4, -10, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-12", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[1, -3, 4, 10, -1, -5],\n [3, 8, 8, 10, 6, -5],\n [2, -9, 0, 9, -4, 3],\n [5, -1, 4, 8, 10, 3]]\nB =\n[[3, -10, -7, -2],\n [2, -1, 5, -6],\n [9, 3, -10, -6],\n [1, 3, -4, -4],\n [6, 6, 3, -7],\n [-7, -7, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-133", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 3, 10, 6],\n [0, 0, 3, -1],\n [-9, -5, -6, -4],\n [3, -9, -1, -7]]\nB =\n[[-6, -6, 0, -4, 9],\n [1, -5, -5, -2, -4],\n [-6, -7, -8, 5, 6],\n [5, -7, 7, -4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "196", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[0, 8, -3, -3],\n [0, 8, 6, -6],\n [10, -3, -8, 5],\n [8, -10, 3, 5]]\nB =\n[[10, -10, -10, 5, 4],\n [-9, -7, 6, -1, -2],\n [-6, -5, -4, -2, -9],\n [-7, -4, -2, 0, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1196", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 6, -9, -10, 7, -7],\n [-9, -2, 3, 3, -3, 0],\n [10, -2, -8, 10, 6, 4],\n [-4, 4, -8, -6, 10, -4],\n [8, 5, 3, 4, 0, 1],\n [-10, -1, -7, 1, 0, -6]]\nB =\n[[4, 6, -8, 9],\n [4, 3, -4, -5],\n [-5, 4, 5, 9],\n [0, 10, 8, -9],\n [8, 3, -6, -9],\n [-8, 1, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-449", "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, -4, 1, -5, 4, 10],\n [-10, -8, -5, 8, -9, 1],\n [6, 4, 6, 2, 9, 8],\n [1, -9, -10, -10, 8, 1],\n [-6, -1, -7, 7, -4, 9]]\nB =\n[[0, 3, -9, -7, 10, -9],\n [-1, -10, 4, -10, 0, -6],\n [4, 6, 0, 1, 3, 7],\n [-4, -3, 8, -10, -8, 5],\n [-4, 8, -1, 1, 1, -1],\n [-5, 7, -2, -7, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2642", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-7, 6, -10, 6, 4],\n [-8, 7, 3, 6, -3],\n [9, -8, -10, 10, 5],\n [-1, -7, 5, -3, -10],\n [-1, 7, 8, 6, 7],\n [-9, -3, -2, -6, -7]]\nB =\n[[-6, -4, 4, 1, 10, -1],\n [2, 4, 7, -2, 3, 3],\n [4, -8, 8, 10, -5, -6],\n [7, 9, -4, 6, 7, 9],\n [0, 0, -8, 2, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -6, 8, 4, -7],\n [8, 2, 9, 7, -5],\n [10, -3, 2, 1, 7],\n [9, 5, 7, 8, -6]]\nB =\n[[7, 0, -7, -10, -7],\n [10, -6, -6, 0, 8],\n [-4, -4, 3, -10, 5],\n [8, -6, 4, -7, 8],\n [-7, 5, -1, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-473", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 10, 5, 0],\n [-4, 3, -1, -5],\n [-7, -2, 10, -1],\n [0, 8, -9, 1],\n [-4, 7, -6, 3]]\nB =\n[[1, 2, 7, 0, -6, 6],\n [5, 2, -5, 9, 5, 0],\n [-5, -9, -8, 4, 3, -1],\n [3, -7, -1, -8, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1462", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -4, -8, 8, 10, -5],\n [-6, 5, -4, -10, 3, 4],\n [-1, 4, 5, 7, -3, -6],\n [10, 2, 6, 10, 8, -7]]\nB =\n[[-7, 8, -4, -10, 5, 10],\n [10, 5, -8, 9, -7, 9],\n [7, 10, -6, 5, 2, 3],\n [-2, 3, -7, 10, 9, 2],\n [7, 10, -4, -10, 4, -9],\n [-6, 8, 2, 7, -4, 1]]\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 when matrix A is multiplied by matrix B?\nA =\n[[6, 3, 2, 2, 0, -6],\n [7, -9, 10, 9, -9, -9],\n [-3, 1, -2, -6, 9, 3],\n [-7, -6, 8, -2, 4, 9]]\nB =\n[[-8, -10, 4, -4, 10],\n [-4, 1, 0, 9, 5],\n [-10, 7, -7, -7, -8],\n [10, -2, -7, -7, -1],\n [-3, 1, 10, 3, -1],\n [-10, 9, 10, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-609", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[8, 0, -7, 2],\n [3, -1, 6, 9],\n [9, 6, 10, 9],\n [5, 2, 1, 4],\n [-6, -1, 8, 9],\n [4, -8, 2, 9]]\nB =\n[[7, 3, 0, -3],\n [-3, -3, -7, 5],\n [8, -10, -2, -6],\n [-6, 4, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -1, -7, 1],\n [0, -3, -4, 8],\n [8, -6, 1, 6],\n [-2, 3, -6, 1]]\nB =\n[[9, 10, -8, -9, 7, -1],\n [-6, -8, 0, -3, -4, -9],\n [0, -5, 4, -10, 0, 1],\n [8, 7, 3, 10, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "722", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, -6, -2, -7, 0, 5],\n [-5, 1, -5, 8, -10, 1],\n [6, -6, 2, -7, -4, 9],\n [6, 8, -6, 6, -9, 5],\n [7, -5, 3, -10, -4, -2]]\nB =\n[[-8, -1, -9, 5],\n [-8, 8, -8, 5],\n [-5, 2, -9, -4],\n [9, 8, -4, -9],\n [-10, 9, 2, 7],\n [-10, 7, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1451", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 2) of the result:\nA =\n[[0, -1, -3, -8],\n [9, -6, 8, -2],\n [6, 4, -8, -4],\n [-7, -9, 10, 3]]\nB =\n[[-7, 7, 0, 10, -4, -10],\n [-6, -5, 6, -9, -3, 8],\n [-1, 3, -1, 1, 7, -1],\n [9, 2, -2, 9, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 4, 5, -2, -1, -2],\n [-1, 7, 8, 7, 6, -9],\n [1, 9, 10, 2, 3, -7],\n [-8, -7, 6, -3, 7, -4],\n [-4, -2, 10, 4, 0, -7],\n [-4, -6, -1, 6, 7, 2]]\nB =\n[[3, 7, -7, -5],\n [0, 3, -2, -6],\n [-8, -3, 8, 8],\n [0, -4, 10, 1],\n [1, 0, -5, 6],\n [4, 3, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1910", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, 0, -4],\n [-8, -9, 3, -4],\n [10, -6, -3, 6],\n [9, -3, 1, 2]]\nB =\n[[-9, 4, 4, -4],\n [-7, -4, 7, 2],\n [1, -5, 10, 5],\n [-5, 4, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-3, 4, -6, -5],\n [0, -1, 7, 5],\n [-7, -6, -10, -2],\n [-10, 1, -3, 4],\n [2, 7, -9, -6],\n [2, -6, 7, 0]]\nB =\n[[-6, -6, -5, 3, 1, 3],\n [-9, 7, 0, -7, -6, 9],\n [-9, 10, -8, -4, 1, 7],\n [-5, -10, 9, 8, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -10, 0, 8, 9, 1],\n [5, 4, 8, 8, -2, 3],\n [8, -9, 1, 0, 4, 2],\n [-1, -4, -3, -9, -7, -8],\n [8, -10, -2, -1, -10, -7]]\nB =\n[[7, -3, 4, -9, -6, -5],\n [0, -2, 10, -4, -3, -4],\n [2, 6, -4, 10, -10, -3],\n [-1, -4, 4, 7, -5, 0],\n [-6, -2, -7, -3, -3, 8],\n [6, 5, 9, 4, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-260", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[8, -5, 7, 6],\n [7, 9, -1, 9],\n [-2, 0, -5, -2],\n [8, -4, -9, 1],\n [8, 9, -9, 6]]\nB =\n[[5, -4, 5, -3, -3],\n [5, 6, -10, 4, 10],\n [3, 1, -5, 7, 1],\n [-6, 9, 10, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -1, 3, 5, -4],\n [3, -3, 5, 9, 7],\n [1, 2, 7, -1, -1],\n [9, -6, -1, -1, -10],\n [7, 8, -8, -7, 1]]\nB =\n[[-8, -7, 3, -4, 4],\n [10, 1, -2, 1, 7],\n [-3, 3, 2, -1, -5],\n [0, 6, -7, -5, 7],\n [-3, -10, 4, -10, 1]]\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 product of the following matrices:\nA =\n[[1, 5, -4, 8],\n [5, 7, 5, 3],\n [2, -10, -8, 2],\n [5, 1, 3, -3],\n [-10, 5, -5, 6],\n [0, -6, 6, 3]]\nB =\n[[5, 3, 7, 4, 3],\n [5, -10, 0, -2, 7],\n [-2, -5, -1, 8, -3],\n [9, 8, -8, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "398", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 2, -6, 10],\n [8, -7, 9, 2],\n [-8, -6, -10, 9],\n [-1, -3, -9, 5]]\nB =\n[[-5, 6, 4, 4],\n [1, 1, -2, 0],\n [2, 4, -8, 5],\n [0, -6, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "89", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -5, 3, 10, 6, -10],\n [-6, 10, 9, 2, -8, -2],\n [5, -9, 1, -5, -7, 8],\n [-2, 10, 3, -9, -7, -7],\n [1, 3, -5, -8, 2, 5]]\nB =\n[[7, -1, 7, 3],\n [-3, 3, 5, -3],\n [0, -8, 4, 10],\n [-6, 10, 6, 6],\n [-6, -7, 8, 5],\n [-5, 0, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1064", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[-9, 5, 2, 10],\n [-1, 4, 9, 5],\n [6, 10, -5, 2],\n [-3, -3, 7, 7],\n [3, -6, 2, -1]]\nB =\n[[9, -2, -6, 5],\n [-5, -2, -9, -8],\n [-9, 0, 9, -9],\n [-7, 3, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "49", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 3, 2, -4, 4],\n [-4, -2, -10, 2, 8],\n [-3, 0, -3, -5, -5],\n [-5, 0, 4, 4, 5],\n [1, -5, -9, -2, 5],\n [-5, 10, 1, 9, -5]]\nB =\n[[9, 4, -5, 7, 7],\n [-6, -8, 2, -3, 2],\n [-5, -5, -7, -1, -8],\n [-4, -3, 0, -1, 7],\n [3, 3, 7, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1586", "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, -1, 0, 1],\n [7, 9, 1, 6],\n [1, -1, -10, -8],\n [0, 2, 9, -1],\n [10, -5, -5, -1]]\nB =\n[[-4, -1, -7, 10, -7],\n [-9, 3, 0, -8, -6],\n [2, -10, 8, 3, 10],\n [8, -7, -9, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1549", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -6, 9, 3],\n [8, 0, 6, -2],\n [0, 8, -7, -8],\n [-10, -4, -9, -2],\n [-3, 10, 10, 0],\n [6, 0, -6, 10]]\nB =\n[[4, 3, -4, -10],\n [-1, -7, 5, -5],\n [3, 6, 3, 2],\n [1, 8, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -10, -6, -5],\n [-1, -3, -7, 4],\n [3, 2, -9, -2],\n [-2, -2, -1, 2]]\nB =\n[[-5, 9, -6, -2, 6],\n [5, -6, -7, 10, -3],\n [-2, -9, -1, 8, 1],\n [0, -6, 1, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 5, 7, 9, 4, 4],\n [2, 3, 4, 7, -1, 1],\n [5, 2, -8, 6, -10, 5],\n [-8, 0, 9, 7, -8, -5]]\nB =\n[[7, -10, -2, -7],\n [4, -9, 7, -2],\n [6, 10, 3, 1],\n [-9, 6, -5, -3],\n [-4, -10, 10, 4],\n [-4, 5, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[9, -9, 1, 4, 10, -8],\n [9, -5, 2, 7, 3, -8],\n [-10, 7, -9, -8, -8, 6],\n [3, -6, -10, 5, -5, 10],\n [9, 10, 4, 0, -4, 3],\n [0, -5, -9, 5, -9, 0]]\nB =\n[[1, 9, 5, -3, 0, -10],\n [1, -1, 0, 5, 4, -2],\n [-7, -10, -9, 0, 9, 9],\n [-4, -4, -7, 9, 5, 3],\n [-8, -1, -4, 0, 0, 6],\n [-3, 5, 4, -4, -4, -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 (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[9, -8, 9, 4],\n [-2, 1, -5, 10],\n [-1, 0, -6, 0],\n [-5, 8, 7, 2],\n [2, 0, 6, -4],\n [10, 2, 0, 8]]\nB =\n[[-2, -2, -4, -6],\n [-1, 3, 3, -8],\n [8, -4, -2, 7],\n [-5, 1, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "23", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[0, -7, -5, 1, 3],\n [-7, -1, 1, -9, -4],\n [-5, -2, -5, -5, -5],\n [4, -3, -7, -4, 5]]\nB =\n[[5, -10, -7, -6],\n [-5, 3, -6, -4],\n [5, -1, 6, 3],\n [-10, -6, 8, 0],\n [0, 4, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -4, -2, 1],\n [-7, 4, -9, 1],\n [-9, -2, -7, -2],\n [-10, 9, 4, -1],\n [-2, 0, 1, 4]]\nB =\n[[4, 5, 1, 2, -1],\n [2, 2, 1, 6, -4],\n [2, -2, -9, 8, -9],\n [-4, -7, -5, 10, -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 absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 3, -6, 9, 2, 8],\n [-7, 6, -8, 2, -5, -5],\n [10, 7, 10, -5, 8, -1],\n [4, -3, -2, 5, 3, -8],\n [1, -8, 10, -8, 10, -7],\n [8, -9, -3, -10, -10, 3]]\nB =\n[[8, 1, 2, 6, -4, -7],\n [-3, 3, 3, 2, -3, 6],\n [8, -5, 1, -4, -5, -6],\n [0, -5, 6, 1, -5, 10],\n [-2, 0, -3, -9, 4, -5],\n [-2, -8, -7, -5, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2710", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 8, -6, -4, -5],\n [-9, 7, -10, 2, 6],\n [-9, -3, 2, -9, 6],\n [5, 0, -8, 0, -10]]\nB =\n[[-6, 6, -9, -8, 8],\n [-10, 6, 9, -9, 10],\n [-1, -7, -7, 8, -8],\n [10, -3, 6, -3, -2],\n [10, -8, 0, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2028", "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, -2, -5],\n [-6, 4, -3, -4],\n [0, 0, 2, -8],\n [8, -2, 4, -2],\n [0, -6, 8, 8]]\nB =\n[[8, -9, -8, 8],\n [-3, 2, 4, -6],\n [10, -8, 5, 0],\n [-2, -1, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "972", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 5, 3, -6],\n [9, 6, -1, 4],\n [9, -6, 9, 5],\n [4, 8, -3, -4]]\nB =\n[[7, 6, -4, 9, -8],\n [9, -9, -5, -5, -1],\n [1, -1, 9, -8, -4],\n [2, 5, 1, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1505", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-4, -7, 8, 9],\n [-1, -8, 10, 10],\n [0, -8, 5, -2],\n [-9, 8, -10, -2],\n [9, 6, -4, 10],\n [-4, -8, -2, 5]]\nB =\n[[0, 0, 7, -5],\n [10, -9, -4, -1],\n [-1, 8, 3, 10],\n [3, 7, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -2, 8, -1, 9],\n [0, 5, 10, -7, -5],\n [-4, 3, 2, -10, -9],\n [3, -4, -8, 8, -5]]\nB =\n[[-2, 1, 0, -10, 8, 5],\n [-5, -2, 6, -2, 1, 1],\n [-6, 0, 6, -6, -9, 1],\n [8, 0, -8, 10, 1, 0],\n [5, -3, 6, 10, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1970", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-10, -1, 5, 7, 3, 3],\n [9, 2, 8, -4, 3, 0],\n [10, -7, 0, -3, -9, -4],\n [4, -7, 10, 10, 3, 9],\n [10, 2, 3, -4, -1, 10]]\nB =\n[[-7, -8, -7, 7],\n [6, -10, -8, 3],\n [-9, -2, -4, 4],\n [8, -1, 10, 9],\n [2, -3, -2, -1],\n [5, 0, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 5, -6, -9],\n [6, 6, 9, 6],\n [-10, 0, 4, 9],\n [0, -1, -2, -4],\n [-3, 2, -4, 10]]\nB =\n[[-7, -2, 6, 4],\n [-7, -6, 8, 0],\n [-1, -10, 4, -7],\n [3, -6, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-8, -7, 0, -9, 0],\n [-1, 0, 1, 4, 5],\n [0, 0, 4, 5, 6],\n [9, -2, -10, 9, -7]]\nB =\n[[-8, -6, 7, -1],\n [8, -3, -6, 5],\n [-8, -6, 7, -3],\n [-7, -10, -8, -8],\n [-3, -8, 4, -6]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-8, 1, 5, 0, -6],\n [9, -2, 6, 1, 7],\n [-7, -5, 10, -4, -8],\n [-4, -4, -3, -3, -5]]\nB =\n[[3, 8, -4, -9],\n [7, 4, -5, 1],\n [3, 0, -9, -2],\n [5, -9, -5, 3],\n [2, 3, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1000", "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, 2, -1, -1, -8, 3],\n [-9, 2, -7, -1, -7, -1],\n [7, -10, -1, 6, -10, -7],\n [10, 6, -5, 2, -4, -4]]\nB =\n[[-3, 0, -4, 7, 5, -10],\n [-3, -3, -3, 8, 4, 0],\n [7, 3, 4, -6, -9, 4],\n [4, 5, -10, -4, -2, -6],\n [-7, -4, -1, -3, 10, 8],\n [-6, 2, -1, -10, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1569", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 5) when matrix A is multiplied by matrix B?\nA =\n[[2, -9, 3, 10],\n [4, 4, -8, -10],\n [7, -9, 5, -9],\n [-3, 4, 2, -8],\n [3, -10, 3, 0],\n [-8, -9, 7, -7]]\nB =\n[[-8, 7, 7, 1, -4],\n [-2, 0, 6, -4, -4],\n [1, 10, -10, 1, -4],\n [5, 4, -1, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-92", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 6, -6, 8, 0, 8],\n [3, 1, 5, 6, 8, -2],\n [-4, -8, -3, -7, -10, -9],\n [6, -4, -9, 4, -4, -9],\n [-6, -4, 5, -3, -7, -6]]\nB =\n[[10, 6, -2, -7, 10, -3],\n [-9, -1, -1, 9, -3, -5],\n [8, 3, 0, -2, 9, -9],\n [0, 2, 5, -10, -3, -4],\n [10, 8, 3, 3, 2, 10],\n [7, -1, 3, 1, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-572", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -8, -7, -5, 5],\n [-4, 5, 4, -6, -9],\n [3, 1, 6, 4, -7],\n [0, -6, 7, 9, 7]]\nB =\n[[-8, 9, -3, -8],\n [2, -3, 10, -3],\n [4, -10, -5, 10],\n [10, 6, -9, -7],\n [5, -7, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-3, 10, 2, -6, 2, -9],\n [7, -6, 1, 7, -4, 4],\n [-7, -1, 1, -6, -10, 7],\n [-10, 10, 8, 6, 9, 4],\n [-6, 3, -9, -5, 5, -5]]\nB =\n[[-8, 0, 10, 8, 1],\n [3, 4, 10, -2, -6],\n [6, 1, 4, -6, 4],\n [-6, -3, 8, -3, 7],\n [0, -7, 0, -9, -4],\n [-1, -2, 8, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 7, -5, 1],\n [-9, 1, 6, 7],\n [4, 0, 5, -8],\n [-1, -1, 6, -1],\n [2, 7, 5, 3],\n [4, 3, -3, -2]]\nB =\n[[1, 9, -2, 6, -1],\n [0, 7, -1, -4, -3],\n [-3, -2, 3, -10, 2],\n [1, 6, 5, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "973", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, -10, 10, -8, 0],\n [7, -6, 5, 4, 10],\n [-10, -7, -9, 9, 5],\n [9, 6, -8, -6, 5],\n [-2, -6, 9, -7, -6],\n [-8, 9, -5, -3, -10]]\nB =\n[[-9, 3, 5, -6, -8, 0],\n [6, 2, -1, -3, -8, 3],\n [3, 5, -3, 10, -6, 9],\n [-2, 4, 2, -5, 5, -10],\n [-6, 4, 0, -6, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -8, 2, -9],\n [-9, -4, 4, 1],\n [-7, -4, 2, 8],\n [-4, 4, -5, 6],\n [6, -4, 4, 1]]\nB =\n[[9, 8, 4, 1],\n [-1, 1, 9, 3],\n [7, 6, -1, 7],\n [9, 6, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, 1, -5, 2, -3, 3],\n [-10, 10, 5, -5, 6, 0],\n [1, -4, 7, -10, -10, 5],\n [5, -2, 0, -5, 2, 2],\n [5, 2, -5, -3, -8, 6]]\nB =\n[[-2, 1, 4, -2],\n [2, -10, 10, -3],\n [-2, -2, 5, -7],\n [-10, -3, 1, 9],\n [-4, 4, -10, -2],\n [-5, 7, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1088", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 6, -8, -1, 3, -5],\n [0, 3, -2, -8, -6, 4],\n [-7, 4, 5, -7, 8, -1],\n [-6, -7, -10, 0, 3, 4]]\nB =\n[[3, -7, -1, 6, 1, 0],\n [-10, -7, -4, -1, -4, -4],\n [2, -8, -3, -5, -8, -10],\n [-10, -10, -8, 0, -5, -5],\n [9, -1, -4, -5, -7, 1],\n [-5, -1, 1, 2, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "836", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -3, 10, 4, 1],\n [-2, 4, -3, -5, 1],\n [9, -4, -7, 2, -9],\n [-6, 1, 5, -3, 2],\n [0, 7, 3, -9, 9],\n [-4, -8, -1, 4, -1]]\nB =\n[[6, 7, -2, 0],\n [-8, 8, -7, -10],\n [5, -10, 0, -1],\n [10, -4, -3, 0],\n [7, -7, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1339", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[9, 6, 0, -7, 7],\n [-4, 0, 5, 2, 10],\n [-1, 9, 0, 4, -3],\n [-10, -4, 5, -2, -4],\n [-6, 5, 1, 2, -5]]\nB =\n[[-2, -3, 2, 7, -10],\n [-2, 7, 10, 9, -6],\n [-2, 2, 8, 9, -5],\n [8, 10, -7, 3, -10],\n [6, -2, -9, -3, -8]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-7, 7, -9, 7],\n [0, 3, 8, 0],\n [-8, 0, 10, -5],\n [3, -1, 10, -9]]\nB =\n[[9, -9, 7, -7],\n [-9, -2, -4, -7],\n [3, 4, -9, -4],\n [-5, 9, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "921", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 5, -1, -7],\n [-7, 1, 8, 4],\n [-9, 6, 9, -9],\n [6, -6, 2, -8]]\nB =\n[[6, 6, 5, 10, -9, -5],\n [-8, -5, 1, 6, -9, 4],\n [-8, -6, -2, 0, -4, 6],\n [8, 9, 7, -3, -2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1054", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[-7, 10, -7, 9],\n [7, 3, 10, -4],\n [3, 6, -3, -8],\n [-10, -8, -6, -1],\n [5, 10, 1, 7]]\nB =\n[[6, 2, -7, -9],\n [-6, 8, 9, -10],\n [-4, 4, -4, 0],\n [0, 7, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-74", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[5, 3, -4, 4, -4, -2],\n [9, -5, -9, 4, 0, 4],\n [8, 3, -8, -10, 0, 2],\n [-5, 0, -4, -3, -9, -4],\n [-4, 1, 8, 4, 2, -10]]\nB =\n[[-2, 10, 5, 6, 4],\n [-9, 6, -4, 10, 6],\n [-9, -7, 6, 6, -3],\n [-9, -9, 5, 4, -9],\n [3, -2, 7, -3, 0],\n [-3, -3, -9, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -4, 6, -6],\n [10, -9, 4, 0],\n [6, -5, 3, -9],\n [8, 1, -3, 0],\n [-1, 4, 5, 0]]\nB =\n[[0, -3, 8, 1, 0, 7],\n [7, -8, 9, 7, -9, -1],\n [-2, 9, 7, 6, 7, -10],\n [3, 4, -8, 8, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1547", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -8, -4, -10, -9, 6],\n [3, -1, -6, -8, 4, 9],\n [-8, -6, 10, 0, -2, -7],\n [6, -3, -2, 5, 3, -1]]\nB =\n[[-10, 9, 6, 3],\n [-5, -4, 3, -1],\n [9, 9, 3, 1],\n [-10, -1, -6, 7],\n [-9, 2, 7, -9],\n [-8, -2, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1047", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, -4, -7, -1, 4, 4],\n [-4, -8, -3, -7, -7, 1],\n [-2, -5, 6, 4, -10, 7],\n [0, -8, -10, 9, 7, 6],\n [5, 9, 7, -2, 5, 7],\n [9, 4, 7, 10, 3, 7]]\nB =\n[[-9, 0, 10, 7, -3, -1],\n [-4, -8, 8, -2, 8, 1],\n [7, -9, 10, 9, 9, 9],\n [-4, 3, 5, 3, -4, -10],\n [-5, -7, 1, -6, 6, 8],\n [-4, -6, -1, -8, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -5, -3, 10],\n [-3, 4, 4, -8],\n [9, -4, 7, -8],\n [-10, -2, 4, 3]]\nB =\n[[10, -6, -6, 8],\n [-4, -4, -7, -10],\n [0, -5, 3, 2],\n [2, 10, -4, -10]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-4, -7, 6, -10, -1, 7],\n [0, -7, -2, -5, 3, 9],\n [-3, -7, 10, 2, 0, 8],\n [2, 10, -7, 2, -3, 0],\n [7, 8, -9, -5, 0, 3]]\nB =\n[[-2, -1, 9, -4, 6, -3],\n [-3, -4, -5, 6, 4, -8],\n [2, 9, -1, 8, -4, 0],\n [-3, -7, 2, -1, -7, -5],\n [6, -1, -6, 2, 8, 5],\n [-2, 2, 1, 2, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1787", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 7, 10, -8, -4],\n [6, 5, -6, -5, 4],\n [1, 8, 1, -3, 3],\n [-6, 8, -7, 5, -8],\n [10, 4, -3, -8, 4],\n [3, 3, 6, -7, -4]]\nB =\n[[0, 5, 5, -3, 2],\n [3, 9, 6, 3, 9],\n [-10, -6, 7, 3, -8],\n [-1, 2, -2, 7, 8],\n [-5, 3, -5, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1902", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 5, 4, 5, 8],\n [10, -7, 4, -3, -9],\n [-9, 5, 1, 7, 0],\n [-10, -4, -8, -1, -6]]\nB =\n[[-5, -3, -9, 6, 3, -10],\n [3, -3, 1, -2, 1, -7],\n [6, 5, -5, -3, -5, -5],\n [-7, 4, -1, -5, 7, 5],\n [4, -4, 4, -6, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "215", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -10, -1, -1, -7],\n [-5, 9, 9, 5, -10],\n [-4, 6, -7, -8, 1],\n [1, 1, -10, -9, 6],\n [-2, -5, 9, -5, -4]]\nB =\n[[9, -7, -8, -9],\n [-7, -2, 4, 3],\n [-3, -1, 3, -7],\n [2, 3, 5, 8],\n [0, -2, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1004", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 3) of the result:\nA =\n[[-10, 9, 10, -7],\n [-5, -4, 4, 9],\n [4, 6, -9, 4],\n [-3, 10, -3, 3],\n [-3, -6, -10, 7]]\nB =\n[[6, -2, -6, -1],\n [-8, -7, 3, -10],\n [4, 0, 1, 4],\n [2, 3, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[7, -10, -4, 3, -1],\n [-2, -5, -10, 3, -4],\n [-10, 6, 0, -4, 0],\n [4, 8, 1, -8, -6],\n [-6, -3, 7, 5, -3]]\nB =\n[[-3, -5, -9, -4],\n [-8, 4, -6, 8],\n [7, 6, 3, 9],\n [5, 7, -4, -2],\n [10, 0, 10, -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 (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, -3, 3, 5, 3],\n [9, 6, -3, 0, -7],\n [-9, 3, -5, 0, -4],\n [9, -2, 3, -8, 1],\n [-2, 10, -5, 5, -9],\n [-2, -3, -6, -8, 4]]\nB =\n[[-7, 8, -2, 0, -10, 9],\n [-2, 2, 5, 9, 10, 1],\n [-10, -7, 2, 0, -7, 5],\n [1, -10, 2, 0, 0, -4],\n [6, -10, 7, 5, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-87", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 5, 9, -9],\n [1, 10, -5, 8],\n [0, 8, 2, 9],\n [-9, 0, -10, 0],\n [-2, 10, -2, -5]]\nB =\n[[-1, -5, -10, 9, 8, -9],\n [9, 6, -3, 8, 5, -5],\n [3, -5, 3, 9, -2, 0],\n [-7, 3, 2, -7, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "677", "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, -5, 10, -3, -4, -10],\n [-6, -6, -9, -10, 1, -1],\n [-9, 0, 4, 1, -5, 7],\n [-1, 4, 4, -6, 9, -6],\n [4, 0, -5, -5, 2, -6],\n [10, -9, 6, -10, 3, 2]]\nB =\n[[6, 9, 0, 7],\n [3, 7, 9, 9],\n [6, -4, -9, 0],\n [-9, -4, -10, 0],\n [7, -10, 7, 4],\n [7, -6, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1535", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -8, 3, -8, 3],\n [2, -8, 4, -3, -4],\n [-2, 4, -2, -9, 8],\n [-2, -2, -3, 9, -10]]\nB =\n[[8, 8, -2, -4, -2],\n [-7, -1, 6, 3, 6],\n [-5, -6, -3, 10, -5],\n [6, -8, 1, 8, 4],\n [-5, 1, -8, 2, 5]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-7, 4, -5, 7, -4],\n [7, -4, 9, -4, 10],\n [4, 5, -2, -1, -8],\n [-1, -2, -9, 5, 10],\n [7, -6, -10, -5, -7],\n [-7, 5, 6, -4, -5]]\nB =\n[[8, -3, 5, -6, 0],\n [0, 3, -4, 10, 3],\n [-9, -4, 7, -10, 3],\n [-5, -2, 3, -9, 9],\n [-3, -8, 2, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2107", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -5, -6, -5, 1, 5],\n [-5, -5, 9, -5, 4, 7],\n [-2, -6, 8, -1, 2, -1],\n [5, 6, 5, 2, -7, -9]]\nB =\n[[2, -7, 5, 5, -4],\n [6, -8, 8, 3, -6],\n [-1, -6, -6, 7, -5],\n [0, -6, 3, -9, 10],\n [9, 10, -6, 8, 2],\n [-9, 1, 5, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, 8, 8, 9, -1, -8],\n [7, -5, -7, -1, -1, -6],\n [-8, -3, 4, 4, -7, -1],\n [-10, 10, -7, -10, -2, -8]]\nB =\n[[-3, 8, 3, 5, 10],\n [8, -8, 0, 6, 4],\n [-1, -7, 5, -6, -6],\n [-3, 4, -3, 4, 5],\n [1, -9, 7, -10, 5],\n [2, -8, 3, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 4) of the result:\nA =\n[[3, 6, 5, 6],\n [9, 7, 5, -4],\n [-10, -7, -5, 2],\n [-4, 2, 7, 6],\n [4, 0, -4, -10],\n [6, -3, -3, 1]]\nB =\n[[-2, 2, 9, 9, -10, 4],\n [-4, 10, 6, 4, 5, -10],\n [9, -8, -6, 10, 7, -8],\n [3, 0, -3, -2, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "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, -5, 0, 0, -5, -10],\n [-8, -6, -6, 3, -2, 7],\n [-4, -7, -4, -5, -7, -8],\n [9, -8, 3, 7, -8, -1],\n [6, 5, 4, 6, 10, -1],\n [5, 9, -3, 0, -1, 4]]\nB =\n[[-4, -10, -2, 0],\n [9, 10, -4, 3],\n [6, 6, 3, -8],\n [9, -10, 0, -1],\n [8, 5, 6, 8],\n [8, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1951", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -1, 6, 8],\n [-9, 10, 1, 5],\n [-9, -2, -10, -7],\n [-10, 1, 3, -9]]\nB =\n[[-7, 3, -4, 1, 3, 10],\n [0, 3, -9, -2, 0, -2],\n [-2, -5, 6, 2, -5, 5],\n [-4, -8, -6, -10, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-146", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -7, 2, 10, 2, -10],\n [0, -9, -4, -9, -10, 7],\n [1, 7, -6, 1, 2, -2],\n [2, 10, -2, 9, 5, 6],\n [2, 3, 1, 6, -3, 1]]\nB =\n[[6, -10, -2, 0, -8],\n [-2, -5, -7, -9, 8],\n [1, 4, -5, 3, 9],\n [-10, 3, -6, -9, -5],\n [10, -8, -3, -4, -6],\n [7, -9, -10, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2021", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -4, 4, -8],\n [-2, -1, 10, 9],\n [-5, 10, 2, -10],\n [-5, 8, -4, -1]]\nB =\n[[2, -8, 5, 10, -9],\n [-8, -2, -4, 0, 4],\n [7, -4, -7, 2, 10],\n [9, -2, 5, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -1, 8, 10, -10],\n [1, -4, -6, 9, 5],\n [-1, -9, 7, -7, -2],\n [-9, 9, -1, -3, 10],\n [-5, -10, -10, 1, 8]]\nB =\n[[8, 3, -6, -4, -5, -7],\n [-10, 10, 6, 0, 5, -5],\n [2, 10, 6, 9, -9, -9],\n [-1, 6, 7, 7, -3, 6],\n [1, 6, -7, -2, -10, 10]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-5, 7, 6, -6],\n [-9, -5, 1, -4],\n [-4, 2, -10, 7],\n [-6, -8, 3, 4],\n [7, -9, 6, -8],\n [-5, -5, -1, 10]]\nB =\n[[-10, -6, -2, 9, -1],\n [-4, -9, -9, 1, 4],\n [-2, -6, -9, -5, -6],\n [6, -8, -8, 3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "368", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[3, -5, 1, 4, -8],\n [-7, -8, 0, 10, -7],\n [-8, -6, -5, -8, 0],\n [6, 3, 5, -1, 10]]\nB =\n[[7, -2, 6, -9, -6],\n [3, 5, 5, -4, -4],\n [-9, 4, 9, 1, -8],\n [10, -5, -5, 5, 6],\n [8, 5, 10, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-202", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[2, -8, -10, 2],\n [6, 8, 6, 6],\n [5, 10, -4, 6],\n [4, 3, 7, 5]]\nB =\n[[-4, -10, 3, -5],\n [1, 9, -10, 8],\n [2, -10, -4, 4],\n [7, 0, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 6, 5, 4, 2, -2],\n [-5, -5, -10, 9, -1, 1],\n [-1, 7, 9, 0, -7, -7],\n [-7, 1, -3, 7, 3, -4],\n [4, -2, 9, 9, 5, -8]]\nB =\n[[-8, 5, 6, 4, 4, 9],\n [-9, 2, 8, 10, -8, 9],\n [-8, 5, 3, -6, -7, -3],\n [0, 7, 0, -8, -5, 0],\n [-6, -4, -3, 4, 2, 0],\n [3, 1, -7, -2, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-604", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -8, 2, -6, -9],\n [3, -2, 9, 3, 7],\n [-7, 10, 7, -2, 3],\n [-2, 1, -5, 0, -6],\n [9, -10, 3, -4, -1],\n [1, -5, 4, -3, 10]]\nB =\n[[-10, 3, 2, 4, 8, 4],\n [5, 10, -1, 1, 5, 7],\n [-10, 9, 4, -4, 10, -2],\n [-6, -1, -9, 7, -9, -9],\n [-5, 7, -5, 9, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2620", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 5, -2, -5, 7, -7],\n [-10, 6, -1, -9, 2, -3],\n [6, -10, 10, -9, 2, 10],\n [-7, -7, 10, 3, -10, 1]]\nB =\n[[1, -6, -8, 7, -7, 4],\n [8, -2, 7, -4, -8, -10],\n [-10, -1, -5, -2, -5, 10],\n [-8, -5, -1, 10, -1, 5],\n [6, 10, -2, 3, -1, 0],\n [4, 10, 8, -2, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -6, 5, -8, 10],\n [-6, -1, 5, 9, -10],\n [9, -1, 2, 7, -5],\n [4, 9, -7, 2, 8],\n [-3, -8, -8, 5, -3],\n [5, 2, -9, -3, -10]]\nB =\n[[8, 3, 10, 9, 2],\n [-10, -2, 7, -2, 6],\n [-4, -1, 9, -2, -2],\n [1, -4, 1, 8, -10],\n [2, 5, 8, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -9, 8, 0, -4],\n [-5, 5, -8, 1, -3],\n [-4, 0, -5, 1, -1],\n [6, -8, 7, 6, -10]]\nB =\n[[-5, 6, 2, 0, -4, -6],\n [7, -9, 6, 5, -4, -9],\n [10, 2, 7, 1, -4, 5],\n [3, 0, -2, -7, 1, 1],\n [-9, 1, 4, -8, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[1, -3, 2, 3],\n [-6, -2, 8, 0],\n [-6, 6, 8, 6],\n [-4, 10, 5, -4],\n [-2, -5, 2, 2],\n [6, -7, 0, 8]]\nB =\n[[0, 8, 0, 4, -5],\n [2, 8, -5, 5, 9],\n [3, -4, -10, 2, -10],\n [-8, -7, -3, 2, -10]]\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 product of the following matrices:\nA =\n[[1, 6, 7, 8],\n [-9, 6, -4, 2],\n [-3, 5, 2, 0],\n [-2, 5, -6, 2],\n [-5, 2, -7, 7]]\nB =\n[[7, 8, 0, -10, 4, 3],\n [1, 3, -7, 3, -6, -8],\n [8, -5, -7, 10, -6, 7],\n [2, 10, -4, 3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1533", "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, -3],\n [-10, -1, -8, 4],\n [1, -3, 2, 0],\n [5, 3, -1, 10]]\nB =\n[[10, -6, -7, -6, 8, 2],\n [10, 7, -4, 6, -1, 10],\n [-10, -7, -5, 1, 4, 6],\n [-10, 10, 4, 8, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1341", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -6, 1, 9, -6, -1],\n [9, -6, 4, -1, 3, 4],\n [-1, 6, 9, -6, -5, -5],\n [-7, -9, 7, -10, -8, -1],\n [5, 5, 1, -7, 2, 8],\n [2, 4, -5, -4, 5, -6]]\nB =\n[[10, -4, -7, 3, -7],\n [7, 6, 9, 8, 4],\n [10, -1, -2, 1, 6],\n [-8, -10, -3, 3, 2],\n [10, -2, 8, 7, 6],\n [1, 2, 2, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[-1, 3, -2, 9],\n [-3, -4, -2, -9],\n [-9, 1, 6, -9],\n [-5, 7, 2, -8],\n [2, 5, 0, -5],\n [4, -3, -8, 2]]\nB =\n[[-3, -3, 10, 9],\n [1, 4, -4, 0],\n [-3, 4, -10, 6],\n [-5, 3, -6, -5]]\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) when matrix A is multiplied by matrix B?\nA =\n[[5, -8, -1, -10, 8],\n [-4, -9, -5, 9, -4],\n [-5, 6, 3, 4, -4],\n [-2, 6, -1, -7, 9]]\nB =\n[[10, 3, -2, 0, 8, -1],\n [7, 3, 9, -3, 0, 10],\n [-4, 3, -4, -3, -3, -6],\n [3, 10, 3, 7, -4, -8],\n [9, 5, 1, 3, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 0, 7, 6, 8, -7],\n [5, 4, -3, -1, 6, -1],\n [-4, 5, 2, 5, 5, 8],\n [4, -5, 2, 3, -9, -1],\n [4, -1, 6, 10, 0, 8]]\nB =\n[[-9, 2, -9, -6, -2, 10],\n [6, 3, -8, -3, 3, -8],\n [-7, 3, 7, 10, 2, -1],\n [-3, 0, 5, 1, 6, -4],\n [10, -10, 0, -2, 9, -3],\n [-9, 5, -9, -8, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "295", "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, 8, 0, 1],\n [1, 5, 10, -1],\n [0, -9, -5, 1],\n [4, -8, -5, -5],\n [4, 3, -10, 0]]\nB =\n[[9, -2, 3, -9, 4],\n [9, -3, -1, 7, -8],\n [-2, 8, 4, 3, 4],\n [-1, 0, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1190", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[9, 5, 6, 6, -10],\n [7, 1, 0, 8, 2],\n [1, -5, -10, -4, -2],\n [-9, 1, 5, 7, 3],\n [9, 4, 7, 5, 3],\n [-7, -4, -6, 8, -5]]\nB =\n[[6, -6, 6, 10],\n [5, -4, -9, 1],\n [-4, 9, 6, 1],\n [-2, -9, -5, 9],\n [7, 0, -7, 9]]\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 when matrix A is multiplied by matrix B?\nA =\n[[9, 9, 4, 5, -5],\n [-2, 8, 4, 2, -5],\n [5, 10, -10, -10, 10],\n [6, -2, -10, 7, 4],\n [7, -8, 9, -8, 3]]\nB =\n[[-8, 8, 7, -3],\n [1, -10, -10, 6],\n [9, 9, -9, 9],\n [1, 9, 4, -9],\n [1, 3, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-223", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 1, 7, 4, -2],\n [-9, -10, -1, -9, -3],\n [-9, -3, -4, 7, -8],\n [-2, -2, 7, 1, -8]]\nB =\n[[6, 6, -9, -1, -4],\n [4, 4, 7, 1, 6],\n [-3, 2, 0, -2, 3],\n [2, -6, -1, 8, -9],\n [-8, 9, 10, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-175", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-2, 2, -10, 9, -3, -4],\n [-2, -4, -2, 6, 9, 4],\n [0, -3, 5, -8, -10, 3],\n [-5, 1, 5, 7, -5, 2],\n [1, -9, 8, 4, -2, 5],\n [2, 1, -2, -4, 1, 10]]\nB =\n[[0, -10, 2, 0, -5],\n [-5, 5, -6, 9, -1],\n [8, -5, 3, 2, -8],\n [4, -10, 3, -7, -3],\n [-10, 6, 6, 3, -3],\n [5, -1, -1, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-7, 9, 9, -6],\n [8, -1, -10, -10],\n [8, 8, 5, 3],\n [8, -7, 5, -3],\n [9, 0, -2, -4],\n [10, -4, -3, 5]]\nB =\n[[-3, -6, -2, 1],\n [-7, 0, 2, 10],\n [-9, -5, -10, -2],\n [-2, 5, -3, 6]]\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 when matrix A is multiplied by matrix B?\nA =\n[[-6, 7, 10, -2, -2, 7],\n [10, -2, -7, 3, 8, -4],\n [-10, 10, -5, -9, 9, 5],\n [-1, 9, 6, -2, 8, -7],\n [-3, 2, 10, -5, -4, 10]]\nB =\n[[0, -3, -9, 0, -1, 0],\n [-5, -9, -7, -5, 10, 0],\n [-4, -8, -7, 6, 4, 10],\n [4, -5, 2, 3, -5, 9],\n [-1, 9, -10, 7, 1, 1],\n [6, 3, 1, 4, -7, -7]]\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 when matrix A is multiplied by matrix B?\nA =\n[[4, -2, -7, -3, 7, -7],\n [-5, -10, 3, 9, -3, 1],\n [-1, -5, -5, -4, 7, 2],\n [6, 4, -5, 5, 2, 9],\n [4, 8, -6, -7, 5, 8]]\nB =\n[[8, 2, -8, -5, 1, 6],\n [10, -10, -9, 2, 10, -4],\n [5, -1, 4, 6, -9, 1],\n [-10, -8, 1, 1, 8, -8],\n [5, -7, -8, -5, -8, -4],\n [-6, 10, -3, -5, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-764", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-4, 2, 2, 0, -10],\n [3, 6, -1, 5, 1],\n [0, -8, 5, 0, -9],\n [6, -8, -4, -8, 3],\n [10, 7, 6, -9, -7]]\nB =\n[[-1, -5, -5, 3, 5],\n [-9, -2, 4, -2, 8],\n [10, 7, -10, -8, -2],\n [3, 10, 8, 10, -1],\n [3, 8, 5, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[-1, -9, 9, 2, -3, 0],\n [-2, -3, -9, -3, -8, 10],\n [-9, -8, -5, -7, 1, 9],\n [3, -7, 10, -10, 8, 2],\n [5, 6, 3, -3, -6, 6],\n [4, 10, -7, -3, 7, -9]]\nB =\n[[-4, 1, 8, -7, 7, 3],\n [-10, 6, -3, 8, -3, -4],\n [1, 7, 8, -9, -5, -4],\n [7, -7, 8, -4, -6, -9],\n [-3, 1, -4, -10, 7, 6],\n [7, -3, 4, 3, -4, 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 (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-5, 1, -2, 5, 10],\n [10, -5, -5, -4, -9],\n [-1, -2, -5, -4, 9],\n [6, -6, 6, 5, -9],\n [-4, -2, 9, -5, -2]]\nB =\n[[-1, 7, -2, -6],\n [8, 10, 8, -2],\n [-8, 7, 3, 3],\n [6, 4, 9, 2],\n [-3, -8, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 3, -3, -3, -6],\n [1, 10, 10, -4, 4],\n [-7, 10, 5, 9, 6],\n [-8, -4, 2, -9, 9]]\nB =\n[[8, -8, -9, -4, -1],\n [-5, 2, 7, 5, -9],\n [-6, 10, -9, -10, 5],\n [-4, 3, -5, -3, -2],\n [-8, 3, -7, -7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1571", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -7, 4, 5],\n [5, -9, 4, 4],\n [-4, -2, -8, -8],\n [0, 1, -2, 10],\n [-7, -10, -4, -6],\n [5, -7, 8, -6]]\nB =\n[[-8, -5, -5, -7, 3],\n [0, -4, -9, 1, -5],\n [-10, 9, -8, 6, -10],\n [9, -1, 10, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "477", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 2, -2, -1],\n [-2, 0, -4, -3],\n [6, -7, 3, 2],\n [-3, -7, 3, 4],\n [5, 10, -2, 1],\n [3, -7, 3, 5]]\nB =\n[[-6, -9, -2, 8, 0],\n [0, 9, 10, 3, 6],\n [-1, 5, -1, -10, 2],\n [8, -9, -5, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-391", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, -3, 9, -4],\n [4, -2, -3, 8],\n [0, 6, 5, 0],\n [-7, -8, 6, 10],\n [7, -8, -7, 8],\n [4, 5, -6, 7]]\nB =\n[[-8, -6, -9, -3, 4, -5],\n [-10, 9, 2, 9, 1, -5],\n [-3, -9, 4, 7, -9, 2],\n [-1, 0, 5, -6, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 5, -1, -9],\n [-10, -2, -3, -9],\n [3, -3, -1, -7],\n [10, -1, 2, -6]]\nB =\n[[-2, -3, 2, -10],\n [0, 2, 6, 3],\n [1, -1, -6, -2],\n [-1, 0, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "605", "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, 10, -7, -6, -7],\n [-4, 5, 5, 0, 8],\n [7, -8, -3, -1, 8],\n [-5, -6, -9, 4, 7],\n [-3, -5, 3, -5, 2],\n [-7, -9, 1, -4, 6]]\nB =\n[[-6, -5, 10, 2],\n [2, 4, 5, -10],\n [2, -1, -9, 0],\n [9, 10, 1, -3],\n [-1, 9, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1676", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-3, 9, 0, -10, -8],\n [-7, -1, 1, -9, -1],\n [-5, 3, 1, -8, 5],\n [-9, 8, 10, -3, 3]]\nB =\n[[5, -7, 8, 10],\n [10, 1, 6, 3],\n [9, -10, 4, -10],\n [-8, -9, 10, 2],\n [-9, 7, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -2, -4, 0, -5, -9],\n [4, 4, -4, -2, -2, 9],\n [-8, 2, 5, 9, -5, 2],\n [-9, 4, -10, -4, -5, 6],\n [7, 2, -6, 7, -9, 0],\n [-8, 5, -6, 3, 10, 3]]\nB =\n[[-4, -3, -3, -6, -8],\n [-10, 7, 9, 0, -10],\n [-5, -3, 0, -5, 10],\n [-4, 1, 3, -2, 0],\n [3, -1, -10, -7, -5],\n [7, -3, -4, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "890", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[-7, -4, 7, 2, -5, -5],\n [-1, -6, 7, -5, -8, 1],\n [-3, 5, 5, 10, -4, 4],\n [-1, 7, -5, 0, 9, 6],\n [-1, 10, -3, 9, -1, -9]]\nB =\n[[-2, -1, 7, -9, 4, -4],\n [-3, -5, 9, -7, 7, 2],\n [-2, -7, -4, -2, -3, -4],\n [-9, 5, -7, 6, 0, 9],\n [4, -7, 8, -7, 4, 3],\n [-6, 8, -5, -3, -10, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-109", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 10, -10, 8, -6],\n [-9, 6, 10, -9, 6],\n [-7, 10, 10, -4, 6],\n [-4, 1, -3, 4, 3]]\nB =\n[[2, -9, 0, -6],\n [-10, 2, 1, 9],\n [2, 7, 7, -6],\n [-9, 9, 5, -7],\n [10, -5, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "986", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -9, 2, 5, 8],\n [4, 5, 0, 10, -8],\n [3, -2, 8, 6, 9],\n [4, -9, 9, 9, -10]]\nB =\n[[-6, -1, 7, -2],\n [-5, -1, 7, -2],\n [7, -10, 0, 4],\n [-5, 7, 2, 5],\n [-5, 2, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -4, -6, 0, 8, -6],\n [1, -9, -6, 7, -6, 5],\n [-2, 4, -9, 9, -3, 7],\n [10, -3, -5, 9, 9, 3]]\nB =\n[[-7, 0, -3, 9, 2, -6],\n [-8, -4, 5, 3, 4, -8],\n [7, 0, 8, -8, 9, 0],\n [10, 10, -5, 8, 3, 8],\n [-1, 4, 0, -3, -4, 1],\n [-5, 8, 3, -10, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1646", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -2, -2, 9],\n [-4, -9, 2, 4],\n [-5, -1, 9, -3],\n [2, -5, -5, -4]]\nB =\n[[-8, -4, -1, -6, 7, -8],\n [-5, -1, 3, 7, 1, -2],\n [0, 7, -6, 9, 8, -1],\n [-7, 10, 8, 1, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 10, -7, -6],\n [0, 2, 2, 5],\n [-5, -10, -3, 10],\n [-2, 8, 3, -3]]\nB =\n[[2, -5, -5, -10],\n [-10, 0, 8, -5],\n [-3, -6, 7, 10],\n [-1, 1, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1002", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, 0, 7, -2, -10, -10],\n [8, 2, 8, 8, 4, 4],\n [3, -1, -10, -7, -7, -5],\n [0, 9, 0, 3, 1, -5],\n [-7, 7, 10, -7, -4, 6],\n [2, 7, -10, 6, 4, 4]]\nB =\n[[-5, -7, 4, 5, -4],\n [-5, 9, -4, 4, -2],\n [2, -4, 2, -7, 0],\n [-3, -6, 5, -2, 9],\n [4, 5, 8, -10, 6],\n [8, 5, 8, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-354", "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, -7, -2],\n [10, -9, 7, 8],\n [2, 5, 6, -5],\n [8, -1, 4, 7],\n [-7, 3, -1, 4],\n [0, 6, 5, 0]]\nB =\n[[-8, 5, -3, -10, 8, -8],\n [0, -6, -5, -6, -1, -2],\n [-4, -1, 7, -7, 7, 6],\n [-4, 7, -1, -7, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2012", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 3, 10, -10, 6, -7],\n [0, 0, -8, -5, -8, 2],\n [7, -3, 4, 4, 3, -1],\n [-6, -10, 3, 5, 2, -3],\n [-7, -4, -7, -2, -5, 9],\n [8, -7, -6, 3, 0, -7]]\nB =\n[[-4, -2, -1, -4, -2, 0],\n [-1, -3, -2, -7, 5, 5],\n [-2, 9, -6, 4, -3, 9],\n [-5, 9, -1, 1, -5, -5],\n [10, 5, 5, -3, 1, -2],\n [9, -4, 6, 2, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 6, -8, -5, -7, 6],\n [-3, -8, 5, 3, -10, 10],\n [-3, -6, -3, 5, 0, 9],\n [-2, 1, 9, -4, 6, 6]]\nB =\n[[-7, 10, 10, 4, 10],\n [8, 10, -2, 1, -2],\n [-8, 9, -9, -4, 0],\n [-4, -6, -8, -10, -3],\n [-7, 10, 2, -4, -9],\n [1, -5, -3, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1899", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 2, 2, -9, 7, -7],\n [8, -3, 8, 0, -7, -4],\n [10, 0, 2, 9, -8, -8],\n [10, 6, -10, 8, -6, 9],\n [1, -4, 1, 7, -7, 8],\n [0, 9, 1, -8, -3, 9]]\nB =\n[[10, -5, -1, 8],\n [4, 3, 7, 1],\n [5, 9, -9, 8],\n [-4, -8, 8, 9],\n [10, 7, -3, 6],\n [-4, -6, -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 when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, 1, 4, 4],\n [-3, 3, 5, 6, -10],\n [-2, 4, -6, -10, 2],\n [-10, -1, -4, 6, 10],\n [4, 8, 3, 5, 2],\n [6, 0, -7, 5, 1]]\nB =\n[[-1, -4, 1, 4, -1],\n [-8, 6, 3, 0, 7],\n [6, -10, -4, 7, -10],\n [7, 9, 1, -2, 0],\n [10, 10, 3, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1686", "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, 0, -6, 7],\n [-3, -3, -7, 10],\n [2, -6, 8, 7],\n [-3, 2, -8, 4],\n [-1, -10, -2, 1]]\nB =\n[[4, -7, -8, -4, 9, -5],\n [6, -6, -10, 4, 8, 10],\n [-3, -2, 5, 8, -7, 7],\n [8, -1, -5, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1875", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -7, 0, -6, 3, -9],\n [6, -1, -3, -1, -8, -7],\n [2, -1, 4, 6, 5, 8],\n [10, -3, 6, -1, -7, 6],\n [3, -7, 10, -2, 9, -2],\n [-7, -9, 1, -5, 0, 8]]\nB =\n[[-8, 1, -6, 5, -3],\n [-7, -9, -6, 4, -9],\n [5, -1, -2, -5, -2],\n [-1, 10, 0, -9, -9],\n [-1, 10, -5, -3, 0],\n [4, 2, -3, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "509", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, -2, -6, 10, 0],\n [3, 10, -2, -8, -8],\n [-8, -4, 2, -3, 6],\n [6, -5, -1, -8, -4],\n [-6, 4, -1, 5, -6]]\nB =\n[[7, 3, 8, 2, 2],\n [-10, 3, -4, 9, -3],\n [-3, 6, 1, -6, -3],\n [2, -6, -10, -8, 3],\n [-2, -4, 5, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 0, 3, 7, 3, 1],\n [0, -7, -9, 5, 5, -2],\n [10, 8, -4, 9, -1, 3],\n [-4, 7, 10, -5, 1, 3],\n [2, 0, -10, 9, -3, -2],\n [-10, -9, -9, 10, -2, -4]]\nB =\n[[-6, 8, 6, -8, -10, 5],\n [7, 6, 5, -7, -7, 0],\n [9, 2, -2, 2, 10, 7],\n [0, 8, 5, -5, 0, -7],\n [-5, -4, -7, -4, -6, -2],\n [-3, 1, 5, -6, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2900", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 9, -2, 3, 1, 9],\n [9, 7, 1, -4, 4, 2],\n [-8, -5, -1, 5, 4, -4],\n [9, 7, 6, 1, -4, 2],\n [-1, -10, 3, 1, 8, 4]]\nB =\n[[-1, -2, 0, -5],\n [-8, 3, 5, 0],\n [-6, -7, 3, 10],\n [-2, 1, -9, -5],\n [-10, 0, -7, -10],\n [-10, -6, 7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-772", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -5, 8, -8, -7, 5],\n [8, 7, -3, -9, -10, -9],\n [5, -4, -7, 0, -9, -1],\n [0, 10, -4, 0, -3, 0]]\nB =\n[[9, -9, -5, 10, 1, -3],\n [2, 6, 2, -8, -1, -6],\n [-10, 10, -7, 0, 3, 7],\n [3, 2, 7, 1, 0, 5],\n [-1, -3, -3, 1, -3, -2],\n [5, -5, -9, 10, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -7, 2, -10],\n [9, -2, 3, -2],\n [-1, -5, -8, 5],\n [-1, -8, -10, 5]]\nB =\n[[9, 9, -10, -5, -10],\n [6, 3, -6, -4, 4],\n [-3, -5, -4, 3, -6],\n [-10, 6, 7, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 6, 1, 1],\n [-7, 4, -5, 4],\n [6, -1, -7, 4],\n [5, 7, 2, 8],\n [7, -2, 7, 0]]\nB =\n[[7, -10, 7, 1],\n [8, -2, -3, -7],\n [-10, 6, -1, -10],\n [-10, -10, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-407", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -5, -3, -10, -8],\n [-3, 10, 7, 10, -7],\n [-8, 3, -4, 10, -6],\n [-2, 4, -4, -9, -7],\n [-3, -2, -8, 0, -2],\n [-10, -1, 2, 4, 2]]\nB =\n[[-4, 3, -1, 1],\n [-10, 7, -5, 0],\n [-4, 9, 3, 4],\n [8, -4, 0, 0],\n [-3, -4, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "284", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 6) when matrix A is multiplied by matrix B?\nA =\n[[4, -9, -5, -4, 8],\n [-3, 5, -5, -6, 6],\n [3, 10, 1, 0, -7],\n [-8, -1, -7, 8, 1],\n [5, -5, -2, 9, -8],\n [-2, 10, 4, 10, -8]]\nB =\n[[-10, 10, -4, -7, -7, -2],\n [10, -2, -10, -8, 10, 7],\n [6, -4, -5, 2, 7, 6],\n [-4, -2, -10, -6, -6, 1],\n [-3, -9, 8, -7, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "116", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[5, 0, -6, 0, 8, 9],\n [4, -1, -6, 1, -7, -7],\n [-8, -6, -7, -5, -2, -3],\n [-2, -9, -9, -9, -6, 6]]\nB =\n[[-1, -2, 6, 3],\n [-6, 4, 2, -3],\n [0, 8, 1, 7],\n [-4, 6, 1, -9],\n [-1, 9, -3, -10],\n [9, -3, -1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-9", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[-9, 10, 4, 1, 1],\n [4, -2, -7, -10, 2],\n [3, -7, -10, -10, 4],\n [0, -5, -5, 2, -3],\n [-9, 3, 9, -10, 3]]\nB =\n[[-9, 4, -6, -3],\n [1, -6, -4, 7],\n [8, 2, -1, -2],\n [6, -1, 4, 0],\n [-1, -3, -1, -7]]\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 product of the following matrices:\nA =\n[[9, -5, -10, -5],\n [-8, 5, -5, 2],\n [-8, -7, -8, 5],\n [-10, -3, 9, -9]]\nB =\n[[-1, -6, -9, -1],\n [2, 8, 8, 7],\n [3, 8, 2, 0],\n [1, -5, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1064", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -7, 7, 7, -8],\n [0, -9, 8, 2, 2],\n [-2, -1, 0, 6, 8],\n [-10, -8, -4, -6, 4],\n [8, -1, -10, 8, -2]]\nB =\n[[-7, 4, 8, 5],\n [9, -1, 4, 8],\n [9, 4, -7, 10],\n [0, 2, -3, 1],\n [-7, -5, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1348", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, -7, -10, 4, -9, 8],\n [-10, 6, 8, -1, -3, -4],\n [-8, 3, 8, 1, 1, -4],\n [-3, 8, -5, -7, -7, 9],\n [5, -9, 6, 0, -2, -10],\n [-1, 6, 6, -2, 4, 10]]\nB =\n[[-10, -7, -1, -5, -2, -9],\n [-1, 1, -10, 6, -10, 2],\n [3, -4, -7, 2, -7, -2],\n [-10, 0, 2, -4, -7, -4],\n [1, -1, -3, -10, -2, 8],\n [-5, -8, -4, -4, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -10, -2, 4],\n [-8, -9, 0, -6],\n [5, 1, 6, -4],\n [9, -6, 2, 5]]\nB =\n[[1, 2, -5, -1, 10, 9],\n [5, -4, 10, 5, 1, -5],\n [8, -5, -9, 1, 0, 0],\n [9, -8, 5, -8, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1335", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 3, -8, -5],\n [-1, 5, 1, 10],\n [0, -3, 7, 4],\n [-10, 7, -10, -7]]\nB =\n[[10, -1, -8, 10, 2, 7],\n [-1, -4, -4, 3, -2, 9],\n [3, -4, -5, -8, 10, 1],\n [2, 10, -2, 7, 4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-336", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[-5, 7, 3, -1, -9],\n [-5, -9, -7, 2, 9],\n [5, 7, 7, -3, 3],\n [-5, -5, 8, -9, 2],\n [2, -2, 2, -1, 8]]\nB =\n[[-3, 2, -3, 10, -3, -10],\n [-1, 0, 7, 7, 2, 6],\n [-9, -5, 3, 2, 4, -3],\n [9, 4, -2, -10, 0, -5],\n [-1, -6, 10, 8, 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 (1, 2) of the product of the following matrices:\nA =\n[[3, -3, 4, -6],\n [-1, -5, -9, -3],\n [-2, 9, 3, 3],\n [-8, -9, 1, 9],\n [9, 10, -10, 3]]\nB =\n[[1, 5, -9, 1, 10],\n [8, -5, -2, 5, -7],\n [7, 1, -3, 8, 3],\n [8, 4, 6, -7, 8]]\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 product of the following matrices:\nA =\n[[2, -2, -8, 3],\n [-4, -6, -7, -3],\n [2, 3, 6, 3],\n [8, 3, -10, 9],\n [8, 8, -9, -7]]\nB =\n[[3, -3, -8, -4, 6, -5],\n [-8, 0, 5, 0, -9, 4],\n [-6, 4, 4, 6, -1, 2],\n [-10, -5, 8, 4, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-541", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 10, 4, -6],\n [2, 8, 5, -3],\n [-9, -8, 0, 0],\n [-8, -7, -4, -6],\n [-2, 2, -1, 4],\n [-10, 8, 6, 7]]\nB =\n[[-7, -4, 4, 5, -8],\n [0, -1, -5, 7, 10],\n [-4, -5, 2, 2, -7],\n [7, -1, -8, -6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 4) of the product matrix AB given:\nA =\n[[-6, -5, 0, 5, -1],\n [1, -9, 10, 4, -3],\n [0, -6, 4, -2, -7],\n [-2, -4, -3, 2, 10],\n [6, 0, 5, -9, 9],\n [1, 9, -4, 2, -6]]\nB =\n[[4, -6, -9, -10, -4, -6],\n [-6, 1, -2, 9, -9, -9],\n [-3, 1, -7, 9, -2, 9],\n [4, 6, 5, 2, -9, -9],\n [1, -7, -3, 7, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 0, 0, -10, -8, 4],\n [-4, 6, 6, 3, 5, 9],\n [-4, 0, 9, -10, -8, 3],\n [5, 8, 3, 1, 3, 6]]\nB =\n[[2, 8, 7, -5],\n [-7, -1, -2, -9],\n [-6, 1, 2, -5],\n [6, -2, -8, 5],\n [-7, 6, -1, -1],\n [5, 6, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1014", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 6) of the result:\nA =\n[[6, 0, 2, -9, 3],\n [1, 0, 6, -7, -6],\n [-8, 4, 4, 4, -4],\n [10, -2, -7, 2, 7],\n [0, -6, 4, -2, -9]]\nB =\n[[-7, 3, 8, 4, -4, 10],\n [10, 8, 8, -4, 5, 3],\n [10, -9, 10, -1, -7, 1],\n [9, -3, 5, 2, 2, -4],\n [1, 1, -7, 0, -7, 5]]\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 when matrix A is multiplied by matrix B?\nA =\n[[5, -6, 2, 3, -4, 10],\n [3, 0, 5, 7, -2, 3],\n [8, -3, -3, 8, -8, 5],\n [0, 4, -6, 4, 8, 5],\n [-8, 9, -9, 9, -4, 3],\n [9, -2, -8, -6, 9, 9]]\nB =\n[[4, 6, 3, -8, 6, 0],\n [4, 10, -10, 10, 7, 9],\n [-1, 8, -4, 2, -4, 0],\n [-9, -8, -2, 0, -3, 10],\n [0, 5, -6, 8, -4, -7],\n [-2, 2, -7, -3, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2447", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, 6, -6, -1, 4],\n [0, -7, 4, -10, 0],\n [8, 0, 9, 6, -1],\n [10, -2, -3, 10, -7]]\nB =\n[[-4, -1, 5, 10],\n [-1, -9, 5, -2],\n [3, 4, -9, 0],\n [4, -7, 8, -1],\n [3, -2, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-3, -10, -3, -7, 2],\n [10, -4, 0, 2, -4],\n [-1, -8, 7, 4, -2],\n [5, 3, -4, 0, -8]]\nB =\n[[-3, 8, -5, 5],\n [9, -3, -8, 10],\n [-10, -9, -2, -4],\n [-5, -9, -7, 1],\n [-2, 8, 8, 7]]\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, 3) of the product of the following matrices:\nA =\n[[5, 7, 5, 0],\n [0, -2, -6, 3],\n [-4, -9, -2, 8],\n [-7, 10, 3, -5],\n [-6, -7, 0, -10],\n [-5, -5, -9, -7]]\nB =\n[[7, 0, -7, 2, -6],\n [-8, -2, 5, -1, -1],\n [8, -10, -1, 3, 10],\n [1, 6, 0, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -3, 6, -10],\n [-4, 9, 7, -1],\n [7, 8, -10, 10],\n [6, 9, 2, 9],\n [-1, 6, -3, -7],\n [-6, -8, 0, 9]]\nB =\n[[-9, 9, -2, 1],\n [-9, 9, -8, 8],\n [-10, -1, 10, -6],\n [4, 10, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[-10, -10, -3, 5, 8],\n [-7, -9, 9, -6, -3],\n [0, 8, -10, -7, 7],\n [7, -9, -3, 5, 3],\n [2, 6, -2, -10, -1]]\nB =\n[[9, 8, 9, 0, -8],\n [-7, 8, -7, 3, -8],\n [4, 0, 6, 3, -1],\n [-3, -3, -1, 0, -1],\n [-1, -4, 6, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 5) of the result:\nA =\n[[-6, 0, 2, 7, -3, -9],\n [8, -6, 2, 0, 1, -4],\n [3, 9, 0, 10, 2, -6],\n [4, -5, 0, 2, -4, 1],\n [0, -3, 0, -7, -10, -8],\n [-3, -1, 0, 7, -7, -8]]\nB =\n[[10, 8, 10, 10, -5, -2],\n [-9, -9, -2, -5, 0, 4],\n [-2, -5, 2, -5, -6, 4],\n [4, 1, -5, 2, -4, 1],\n [-3, 10, -5, 7, 10, -6],\n [1, -8, 9, 7, 10, -9]]\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 (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[4, -1, 5, -8],\n [6, -3, 6, 3],\n [-9, 4, 2, 8],\n [-3, -4, -10, 3],\n [-2, 8, 9, 6],\n [-4, -4, 7, -9]]\nB =\n[[-10, 6, 10, -10],\n [8, -4, 1, 3],\n [0, -10, 0, 10],\n [-9, -4, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[7, -6, -1, -7, -3],\n [6, -9, -5, 7, -6],\n [6, 5, 5, -4, 4],\n [-9, -5, 9, 8, 6]]\nB =\n[[-10, -4, -5, -8, -2],\n [-2, 0, -7, 0, -2],\n [-2, -1, -5, -2, 8],\n [5, -10, 10, -7, -1],\n [-6, 5, -7, 1, 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 product of the following matrices:\nA =\n[[-10, 9, 1, 9, 5, -2],\n [-1, -3, -5, 1, -3, 10],\n [10, 6, -1, 4, 6, 6],\n [2, 2, 8, 9, -6, -10],\n [10, -8, 2, 9, 1, 1],\n [-10, 0, 6, 0, 8, 4]]\nB =\n[[5, 6, -3, 8],\n [1, 1, 3, -2],\n [10, 8, 0, 7],\n [4, 1, 4, -4],\n [0, -2, 10, 5],\n [1, -9, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1603", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, 10, 8, 5, 3],\n [4, -3, -9, -5, 8],\n [-2, 6, -3, 7, -7],\n [3, -1, 0, 7, 6],\n [-6, -8, -3, 3, 3]]\nB =\n[[-9, 2, -7, -1, 4],\n [0, -10, 6, 2, -5],\n [1, 2, 1, -3, -1],\n [3, -7, -4, -9, 6],\n [0, -7, 3, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 3, 8, 2, 5, -3],\n [-10, -6, -4, 3, -2, 1],\n [1, -5, 9, 10, 7, 4],\n [7, 2, 3, -7, -3, -6]]\nB =\n[[2, 4, -3, 6, 4],\n [7, 5, -1, -5, 0],\n [10, -4, -8, 1, 0],\n [4, -3, -8, -6, -8],\n [-10, 0, -8, 1, -6],\n [-9, -4, -1, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1626", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 8, -5, 10],\n [-7, -7, 3, 1],\n [8, -9, 0, 8],\n [-9, -5, 4, -9]]\nB =\n[[4, -7, 3, -7],\n [-6, -1, 6, -1],\n [5, 1, 4, 5],\n [-9, 2, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-7, 7, -4, 5, 2],\n [0, -4, 7, -10, 6],\n [-3, 4, -2, 6, 1],\n [0, -10, 6, -2, 2],\n [1, 9, -1, -2, 6],\n [-3, -7, 7, 4, -7]]\nB =\n[[6, 6, -1, -10, -2, 7],\n [8, -6, 0, -3, -8, -10],\n [2, -6, 4, 7, 1, 3],\n [-5, -2, 0, 9, 7, 9],\n [10, -10, -3, 1, 5, 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 product of the following matrices:\nA =\n[[-4, 7, 8, 3, 8],\n [-8, 0, 4, -10, 7],\n [-6, -1, 4, 6, 10],\n [-8, 5, -9, -9, 0]]\nB =\n[[-10, 2, 4, -6, 0, 5],\n [2, 3, 3, 7, 9, 8],\n [10, 6, 1, -6, 6, 6],\n [-9, -7, 8, -6, 10, -7],\n [-8, -3, 1, 10, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "478", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 4, 0, 5],\n [-5, -4, 3, -8],\n [-9, 6, -2, -7],\n [1, 8, 5, 5],\n [-7, -9, 7, 2]]\nB =\n[[0, -1, -10, 5, -9],\n [2, -1, 4, 5, -1],\n [-3, 4, -5, 1, -7],\n [2, 7, -9, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -4, -6, 5, 7, 6],\n [5, -10, 7, -2, 0, -5],\n [-3, -9, 4, 9, 4, 6],\n [-8, 6, 5, 1, -10, 2],\n [-6, -9, 7, 10, -7, 5],\n [-10, -6, -2, 4, -1, 5]]\nB =\n[[-5, 7, -7, -3, -1],\n [8, 5, 2, -4, -7],\n [-6, 4, -2, 5, -7],\n [3, 8, -8, 4, -2],\n [0, 9, 0, -2, -5],\n [5, 8, -3, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -10, -7, 5, -4],\n [5, 3, 9, -4, 7],\n [10, 1, -1, 1, -7],\n [-8, 1, -6, -5, -2],\n [-4, 10, 1, -4, 5]]\nB =\n[[0, -1, 4, -2],\n [1, -2, -3, -8],\n [-4, 5, -2, -1],\n [-7, 4, 5, 1],\n [8, -8, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "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, -2, -2],\n [7, 9, 3, -5],\n [9, 5, -2, 7],\n [1, -8, -6, -10],\n [-9, -6, -1, 6]]\nB =\n[[1, -7, -2, 6],\n [-2, -2, 10, -6],\n [10, -4, -7, -5],\n [-9, 2, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1088", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -1, 0, -1, 0],\n [-1, 6, 5, -1, -8],\n [7, -7, -10, 8, -1],\n [-10, 9, 3, -8, 9],\n [-9, 0, -8, -8, -8],\n [9, -6, -7, -8, 4]]\nB =\n[[-7, 5, -9, 0],\n [-3, 9, 1, 1],\n [-9, -8, 7, 1],\n [-8, 4, 9, -2],\n [7, 1, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1275", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -6, -7, 10],\n [9, 5, -2, -2],\n [-7, 6, 4, -3],\n [-6, 4, -5, 6],\n [-2, 5, -1, 0],\n [-3, -9, 5, 10]]\nB =\n[[-1, -3, 9, -7, -9],\n [4, 2, 5, 7, -8],\n [-1, -1, 10, 6, 5],\n [-5, -3, -5, 7, 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 when matrix A is multiplied by matrix B?\nA =\n[[6, -8, -8, 2, -9, -8],\n [7, 9, -5, -10, -2, 7],\n [-6, -2, 1, 2, 8, -7],\n [-10, -8, 10, 4, 0, -3],\n [0, -1, -8, -9, -4, -1],\n [2, -4, 0, 4, 2, 5]]\nB =\n[[4, -7, 5, 9],\n [1, 2, -6, 1],\n [-1, 2, -2, 10],\n [5, -6, -5, 8],\n [-1, 4, 10, 4],\n [-5, 5, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-6, 1, -10, 1, -7],\n [0, -10, -2, -3, 4],\n [-2, -1, -10, 8, -9],\n [2, 8, -6, -9, 1]]\nB =\n[[5, -1, -4, -6, -4],\n [5, -3, -9, -4, 3],\n [2, -5, -2, 6, -5],\n [6, 1, 7, -5, 2],\n [-5, -5, 0, 0, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[8, -8, 4, -8, 6, 4],\n [7, 9, -8, 4, -10, -6],\n [9, -1, -8, 5, -4, -2],\n [9, -8, 0, 9, -7, 9],\n [-2, 0, 6, 10, 10, 9],\n [-8, 4, -2, 9, 9, -4]]\nB =\n[[2, -5, 2, 5, 5],\n [5, -3, -6, 2, 3],\n [9, 1, 5, -10, 10],\n [10, -4, 3, 6, -3],\n [-2, -2, 5, -6, 0],\n [5, -4, 0, -2, -9]]\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, 4) when matrix A is multiplied by matrix B?\nA =\n[[-6, 5, -9, 9],\n [8, 10, 3, 3],\n [-2, -5, -10, -10],\n [5, 7, 8, -7],\n [2, 1, 2, -4]]\nB =\n[[-10, 8, 10, -7, 1, -4],\n [4, -8, 3, -9, 10, 1],\n [-7, -3, -8, -1, 2, -7],\n [1, -7, 9, 0, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-149", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-2, -7, 9, -5],\n [-2, 8, -10, 4],\n [4, -3, 3, 7],\n [-1, -2, 9, -3],\n [8, 0, -1, 0],\n [-10, -8, 0, 6]]\nB =\n[[-3, 6, -4, -9, -5, 2],\n [-3, 1, -8, 9, 9, 7],\n [0, -9, 0, 4, 7, -6],\n [-2, 7, 3, 8, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[-1, 10, -1, 3],\n [7, -5, -6, -2],\n [4, -1, 9, -8],\n [-7, -10, 6, -6],\n [6, -6, -6, -5],\n [-3, -5, -8, 1]]\nB =\n[[6, 3, 1, -9, -2],\n [-4, 10, -3, -8, 5],\n [-5, 5, 0, -7, -5],\n [-8, -7, 3, 7, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 2, 2, -3, -5],\n [2, 9, 7, 10, 9],\n [2, -7, 1, -4, 2],\n [-7, 9, 5, -6, -4],\n [-9, 1, 0, 0, 2]]\nB =\n[[-4, -4, -2, -3],\n [7, 6, 4, 2],\n [-2, 3, -4, -9],\n [-10, -7, -3, 2],\n [8, -7, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[-1, -2, 3, -8, 6],\n [-5, -10, -7, -4, 5],\n [-2, -2, -2, 3, -2],\n [9, -3, -9, -2, -9],\n [6, 9, -7, -4, 2],\n [7, -3, 10, 0, -6]]\nB =\n[[-1, -10, -5, 10, 7, 4],\n [6, -3, -3, 0, 5, 4],\n [-1, 5, -1, -8, -6, 1],\n [1, -5, 5, -8, -1, -3],\n [6, -7, -2, -8, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 0, 1, 8, 6],\n [-7, 3, -10, -5, 3],\n [8, -3, -9, 0, -1],\n [-5, -6, -8, 7, -5]]\nB =\n[[3, -4, 8, -1, -4, 0],\n [-4, 10, -3, 4, 10, 3],\n [-4, 6, 2, 6, -3, -4],\n [-10, -9, -3, -2, 1, 5],\n [7, -8, 4, -8, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1386", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 3, 5, 6, -7, -7],\n [5, 2, 6, 7, -9, 7],\n [-9, -3, -3, 2, 7, 4],\n [2, -7, -1, 4, -9, 5],\n [-2, 1, 5, 3, -7, 3],\n [0, -3, 4, 5, 5, -7]]\nB =\n[[-2, -10, 2, -10],\n [9, -8, -4, -9],\n [1, 6, -4, -5],\n [5, -2, 8, 1],\n [0, 3, 3, 4],\n [1, 10, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -5, -6, -3, 10],\n [7, 10, 0, -7, 10],\n [-1, 8, 0, 5, 7],\n [-6, 4, 6, -4, 10],\n [5, 7, 5, -8, -3],\n [-9, 7, -10, 4, -9]]\nB =\n[[-6, 9, 3, -2],\n [-9, -3, -3, -1],\n [-8, 7, 0, 4],\n [-5, -2, 2, -2],\n [7, 4, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-47", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-7, 5, -2, -1, -4, 1],\n [-3, -7, 7, -3, -3, -6],\n [0, 5, 8, -8, 3, -1],\n [1, 3, 8, -10, 3, 3],\n [-1, 5, -4, -3, 5, -8],\n [-5, -3, 4, -10, 8, -3]]\nB =\n[[10, 6, 5, -7, -3, 8],\n [7, 5, 0, 3, 1, 8],\n [-5, -4, 1, -5, -5, -3],\n [6, 2, -7, 4, 5, 4],\n [-5, -7, -2, 4, 7, -4],\n [0, -2, -7, 8, 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 product of the following matrices:\nA =\n[[-8, 4, -4, -1],\n [-10, -4, 10, 7],\n [-3, -10, 1, 0],\n [-5, 7, -6, 1],\n [2, -9, 10, 2],\n [6, 1, -10, -2]]\nB =\n[[-3, 0, -6, -1],\n [8, 7, -4, -8],\n [-6, 7, 2, 0],\n [-6, 7, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "150", "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, -6, 10, -4, 0],\n [-1, 0, 3, 5, -4],\n [3, -10, -4, -4, 10],\n [-3, -9, -9, 6, 1]]\nB =\n[[9, 10, 4, 9],\n [7, -2, 4, 9],\n [3, -2, 4, 0],\n [4, -10, -1, -6],\n [-2, 1, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "990", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 4) of the product matrix AB given:\nA =\n[[-5, -3, 4, 4, 2],\n [3, 9, 10, -1, -9],\n [-6, -3, 0, -6, 6],\n [10, -4, -5, 10, -10],\n [-8, -6, -2, -7, 6],\n [3, -6, 4, -2, -9]]\nB =\n[[0, 7, 9, 7, 2],\n [-3, 10, 0, -3, -4],\n [8, 10, 0, 10, 9],\n [8, -9, -7, 2, 8],\n [-10, -6, 9, 1, -6]]\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 when matrix A is multiplied by matrix B?\nA =\n[[7, 5, -10, 9],\n [6, 6, -7, -6],\n [9, 4, -2, 2],\n [4, -8, 5, 8],\n [-10, -10, 6, -3]]\nB =\n[[-1, -10, 1, 10, -7],\n [6, 3, 2, 1, 2],\n [3, -10, 6, 0, 4],\n [2, 10, -1, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1144", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -4, -10, -6, -8, 1],\n [7, -4, 4, 6, -6, -8],\n [3, -8, -4, -10, -4, 10],\n [-6, 7, -3, -10, -3, 1],\n [0, 5, -7, -9, 9, 2]]\nB =\n[[-8, -7, 0, -4, -5],\n [2, 4, -9, -4, 1],\n [-10, 5, 7, -4, 1],\n [-6, 9, 10, 6, -8],\n [-2, 7, -3, -4, -7],\n [-2, -8, -5, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -2, 6, -1, 4],\n [9, -7, -3, -2, -5],\n [-10, -3, 9, 5, 5],\n [5, 8, -8, -2, 1],\n [10, -10, -6, 7, -1],\n [7, 10, 10, -1, 4]]\nB =\n[[8, 6, 8, -4],\n [-8, -6, -3, 2],\n [-2, -4, -1, -1],\n [6, -3, -10, 0],\n [7, -9, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}