{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 4, 13, -1, -5, -8, 13],\n [5, -9, 10, 3, 7, -5, -5],\n [8, 5, -12, -8, 8, -13, 6],\n [5, -14, 8, -4, 14, -10, -14],\n [12, 5, -15, -4, 10, 6, 13],\n [-4, 9, 1, 11, 11, 15, -6],\n [12, 12, 0, -1, 14, 14, -1]]\nB =\n[[14, 3, -4, 7, 4, 9, -13, -11],\n [3, -9, 5, -7, -9, 2, -12, 9],\n [12, -2, 2, 10, -7, 10, 5, -14],\n [4, 12, -1, 12, -9, -4, 13, -8],\n [-1, -13, -2, 1, -12, 2, -8, -12],\n [-14, 14, -10, 6, -6, -12, 6, 13],\n [15, 2, 10, -4, -14, -6, 14, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2573", "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, 15, 0, -1, -8, -2, 7],\n [12, 9, 14, -8, 5, 0, -3],\n [2, -1, 5, 8, 10, 9, 12],\n [12, 12, -3, -7, 13, -1, -3],\n [-15, 9, -9, -7, 8, -15, -4],\n [-8, 8, 15, -5, 3, 1, -8],\n [-13, -13, -15, 11, -11, -6, -9]]\nB =\n[[10, -7, 12, -9, -7, -8, -4],\n [-14, -15, 0, 7, 7, 14, 8],\n [-11, -13, -4, -8, 6, 11, -13],\n [-15, -13, -11, -1, -2, -13, -15],\n [-11, 10, 7, 15, -2, -9, 11],\n [-7, -1, -1, 10, -6, 12, -3],\n [3, 15, -9, 1, 4, 13, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7961", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[14, -11, 7, -9, -3, -1, -5],\n [13, -12, -3, -9, 11, 3, 6],\n [12, -14, -6, -3, 14, 9, 5],\n [-10, 12, 12, -4, -4, 4, 14],\n [14, -5, 10, 7, 12, 9, -9],\n [14, -15, -15, 9, 11, 14, 9],\n [4, -3, -7, -13, -9, -10, -8]]\nB =\n[[11, -7, 14, -11, -15, 3, -6],\n [-4, 8, -1, 11, 6, 8, -7],\n [4, 1, 14, 1, 10, 4, -4],\n [14, -9, -14, -13, 1, -11, 1],\n [8, 1, 11, 1, -14, -14, 12],\n [6, 7, -11, -15, -15, 3, 14],\n [-14, 5, -4, 10, -10, 7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -5, 8, 11, 1, 15, -10, 8],\n [-11, 4, -14, -10, 6, -5, 15, 0],\n [0, -15, -7, 12, 11, -10, 0, 13],\n [-13, 4, 12, 11, -12, 3, 10, -13],\n [15, 3, 4, -9, 4, -7, -15, -8],\n [-9, 2, -8, -15, -5, 12, 9, 9],\n [2, 7, 15, 14, -6, -13, -9, 12]]\nB =\n[[0, 10, 0, 9, 4, 12, 1],\n [-14, -15, 0, 14, -4, -11, -11],\n [11, 7, -7, -7, -13, 3, 0],\n [0, -13, 4, 8, 6, 8, -15],\n [8, 4, -5, 1, -8, -12, -10],\n [-8, 4, 14, -13, 0, 14, 9],\n [-13, 9, 13, 2, -2, 2, -14],\n [6, -13, 0, 13, -7, -12, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9126", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-12, -15, -2, 5, 0, 4, 8],\n [-8, -9, -13, 1, -15, 0, -4],\n [11, 3, 6, 7, 6, -2, 14],\n [-10, -10, -3, 3, 6, -8, 11],\n [11, -14, 5, 14, -15, 12, -1],\n [-15, -11, 12, 13, 0, 3, -12],\n [-13, 1, 1, -4, 12, 14, 13]]\nB =\n[[-2, 5, -10, -13, 12, -7, -11, 8],\n [13, 1, -2, 5, 15, -13, 12, -15],\n [4, 15, 13, 5, 7, -15, -13, 2],\n [9, -6, 15, 6, 10, -13, -8, -2],\n [8, 2, -1, 6, 7, -14, 15, 11],\n [-6, -14, 10, 1, -8, -15, -7, -5],\n [6, 0, -9, 13, -6, 7, 10, -13]]\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 sum of absolute values of all entries of the result:\nA =\n[[2, 9, 8, -3, 12, 10, -9],\n [9, -12, -3, 4, -15, -8, -2],\n [0, -2, -4, 3, 7, -1, 12],\n [-14, -14, 7, 15, 6, 3, 9],\n [10, 15, 14, 13, 6, 10, 10],\n [6, 1, 4, -6, -10, -1, 6],\n [-5, 12, -11, -15, -8, 5, 12],\n [-4, -4, -11, -9, -12, -10, -3]]\nB =\n[[4, 14, -1, -13, 7, -8, 4],\n [0, -3, 2, 12, -6, 14, 3],\n [1, 8, 15, 3, 12, 10, 7],\n [10, -11, 10, 5, 14, 7, 15],\n [-7, -4, 5, -15, 10, 10, -15],\n [-1, -14, 14, 6, 0, 9, -8],\n [-3, 5, -15, 0, 13, -9, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10832", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-11, 6, 13, 7, -13, -4, 10, 0],\n [3, -11, 6, 9, 13, -2, 12, -11],\n [-1, 1, 14, -2, 14, 4, -11, -4],\n [0, 10, 10, 0, 5, -9, -12, -15],\n [14, 14, -11, 7, 10, -6, 6, -11],\n [-12, -14, 4, 15, -6, 10, 3, 10],\n [-15, 8, -11, -3, -12, 0, 8, 0],\n [7, -14, 1, 12, 11, 4, 8, -4]]\nB =\n[[2, -13, 12, -15, -15, 13, 3, -5],\n [-11, -4, -13, -15, -15, -8, -6, -5],\n [-4, 13, -3, -4, 15, -2, -14, 13],\n [3, 2, -13, 7, 1, 10, -8, 13],\n [10, -6, 10, 14, -14, 3, -7, -9],\n [-12, 10, 5, 2, -3, -5, 13, 8],\n [-12, 9, 5, 13, 9, -12, -6, -11],\n [-7, 8, -13, 1, -13, 0, -12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2347", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 6) when matrix A is multiplied by matrix B?\nA =\n[[1, -9, 8, 7, 14, -11, -4, 1],\n [7, -3, 7, 9, -13, -7, 14, 1],\n [1, 14, 4, 0, 9, 6, -3, 11],\n [3, 1, -12, -4, 13, -7, 3, -4],\n [-7, -9, 12, -2, 15, 4, 3, 10],\n [-1, 0, 5, -11, -13, -4, 9, 4],\n [11, 5, -12, 5, 7, 0, 9, -9]]\nB =\n[[-3, 5, -6, 10, -9, -2, 15],\n [10, -11, -13, 7, 13, -5, -5],\n [2, -1, -4, -7, -6, 10, -4],\n [1, 13, -10, -9, -2, -3, -8],\n [-6, -7, 2, 11, 10, -14, -11],\n [13, -11, -10, 3, -8, 0, -3],\n [-15, 6, 4, 1, 15, -9, 9],\n [-3, -12, -12, -10, 12, 15, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-496", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[13, -4, 6, -9, 11, -6, 10],\n [3, -9, 14, -13, -3, -3, 2],\n [12, 14, 10, 4, 12, -8, 13],\n [15, -7, -9, -15, -13, -3, 12],\n [14, 9, 15, 12, 1, 9, 8],\n [-15, -10, 5, -10, 10, -4, -3],\n [-3, 13, -1, 5, 0, 6, 5]]\nB =\n[[-5, 12, -11, -12, -13, 3, 4],\n [9, 2, -1, -7, 1, -2, -1],\n [15, -15, 5, 6, 6, -13, 0],\n [7, 9, -5, -4, -6, 0, -8],\n [-10, -4, 8, 12, 5, -8, 10],\n [12, -12, 10, -8, 10, 12, 2],\n [12, 12, -11, -7, -12, 11, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1387", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, 1, -7, -15, 5, 4, -3],\n [12, 0, 13, -3, -2, -13, 13],\n [-10, 2, 3, -11, -1, 9, -14],\n [-6, 8, 14, 2, 11, -3, -11],\n [7, 8, -15, 6, -15, 2, -1],\n [1, -5, 5, 10, 15, 9, 6],\n [11, 11, 1, -3, -15, -14, -7]]\nB =\n[[-13, 15, -15, 5, 0, 7, -10],\n [12, 1, -11, 15, -11, -10, -13],\n [5, 7, -11, 5, -11, -6, -6],\n [3, 1, 5, -2, -7, -2, -15],\n [3, -3, -3, -12, 14, -15, 1],\n [-8, -14, 12, 15, -8, -9, 10],\n [10, -14, 6, 6, -13, 11, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8927", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 2) when matrix A is multiplied by matrix B?\nA =\n[[-4, -15, 6, -4, -11, 14, 14, 11],\n [9, 1, 0, 15, -1, 7, -1, -11],\n [5, -2, -14, -5, 3, -9, -10, 12],\n [-14, -10, 2, -14, 2, 14, -1, 11],\n [3, 15, -14, 4, 9, -10, -15, 8],\n [-1, 12, 14, 7, -6, 3, 1, -11],\n [13, -12, -6, 8, 1, -6, 1, 12],\n [4, 8, -11, -14, -10, 5, -14, -3]]\nB =\n[[14, -5, -5, 0, -5, 3, -1],\n [9, 7, 7, 0, 15, -5, 6],\n [0, -8, -12, -8, -12, 8, 9],\n [-13, -13, 11, 13, 2, 13, 10],\n [3, 3, 5, -11, 2, 12, -6],\n [13, 6, 5, -10, -15, -11, -7],\n [-4, 10, -2, -14, 1, -2, 10],\n [-3, 11, -7, 10, 9, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, -1, 8, 14, -5, 15, 0],\n [13, 1, 10, -12, -15, -8, 1],\n [-13, 13, 4, -1, -1, 15, 8],\n [6, -2, 10, 12, 7, -2, 8],\n [-14, -3, 10, -2, 11, 8, 3],\n [-9, -13, -1, 7, -2, -5, -1],\n [12, -3, 2, 10, -10, -13, 3]]\nB =\n[[-1, 9, 7, -11, 12, -6, -9],\n [9, 1, -9, 6, 10, 14, -4],\n [9, 1, -3, 4, 9, -12, -6],\n [-13, -7, -3, 2, -1, -12, -1],\n [6, -14, -1, -8, -8, 1, -4],\n [3, -6, -7, -11, -10, 4, 10],\n [-14, 11, 8, 11, -3, -10, -11]]\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 value at position (1, 2) of the result:\nA =\n[[9, -15, 5, 6, 5, -10, -10, 7],\n [0, -12, 14, -5, 14, 14, 14, 15],\n [8, 7, -7, 7, -13, 3, 15, -8],\n [-11, -12, 8, 15, -10, -14, 4, 12],\n [-5, -12, -1, -10, 6, 1, 14, 8],\n [-10, 3, 14, 9, -14, -1, -5, -8],\n [10, 3, -3, -4, -11, -10, 10, 6],\n [-12, 3, 4, -15, 4, 1, -4, -1]]\nB =\n[[-15, 10, -2, -10, -11, 14, -5],\n [15, -12, -3, -5, -13, -15, -10],\n [2, 8, -6, -11, 7, -6, -4],\n [-14, -3, -8, -14, 4, -15, 15],\n [-11, -7, 1, -7, -5, -1, 8],\n [-10, 7, -13, 14, 15, 1, -11],\n [14, 12, -4, 2, -2, 5, 8],\n [-5, -7, -14, -4, -13, -13, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 6, 12, 13, -8, -5, -7, -11],\n [-2, 12, 14, -13, 5, -11, -11, 3],\n [11, -2, 10, 14, -12, 9, -3, -6],\n [9, 2, -8, -8, -9, -8, -2, 3],\n [13, -10, -15, 7, 15, -1, -15, 9],\n [1, -15, -1, 7, -14, -2, 5, -8],\n [-8, 3, -9, 3, -10, -10, -13, -9],\n [3, -8, -6, 4, -1, -1, 13, -15]]\nB =\n[[4, 14, -9, 11, -12, 13, -10, 9],\n [-15, 13, -11, 11, 7, -15, 14, -12],\n [6, -14, -6, -11, 11, -6, -15, 6],\n [-10, -3, 15, -1, -12, -3, 8, 4],\n [8, -1, 13, -8, -11, 13, -1, -12],\n [-4, -3, -14, 11, 15, 3, 3, -12],\n [-12, 10, -5, 11, -11, 4, -5, 14],\n [-6, -8, -10, -10, -8, 7, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1190", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -5, -4, 10, -3, -8, 14],\n [2, 9, -15, -1, -8, 12, -5],\n [-4, -4, -12, 0, -12, -11, 8],\n [-11, -8, 15, -6, 1, 12, 15],\n [10, -7, 6, 3, 13, -2, -8],\n [-7, 6, -5, 7, -15, -2, -11],\n [5, 10, -2, -12, 6, 7, 9],\n [-15, 15, 6, 7, 3, -8, -1]]\nB =\n[[5, -1, -7, 5, -7, -6, 4, 9],\n [5, 10, -7, -13, 15, 4, 9, 10],\n [-5, -10, -14, -9, 2, 11, -14, 11],\n [1, -5, 11, -4, 11, 3, 6, 8],\n [9, -9, 4, -10, 5, 8, -15, 1],\n [13, 15, -5, 6, 10, 12, 2, 5],\n [1, -9, 1, 4, -7, 1, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10220", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, 12, 15, 13, -8, 1, -9, -15],\n [-3, 14, 7, 3, 11, 8, 3, 14],\n [14, 13, 1, -3, 13, 14, 0, -8],\n [3, 2, -15, -2, 3, -1, 2, -14],\n [6, 12, 1, 2, 14, -10, 3, 15],\n [-12, -15, -8, 13, 7, -9, -13, -6],\n [-6, 3, -2, -14, 12, -15, 7, 7]]\nB =\n[[12, 2, -9, 13, -8, -15, 9],\n [7, -13, 8, 7, 11, 15, 13],\n [-8, 6, 9, -1, -11, -13, 3],\n [-15, 12, -1, -8, -14, -13, 8],\n [-2, 8, -2, -5, 0, -12, 4],\n [-11, 6, 5, -2, 15, 7, 0],\n [2, -9, -6, -9, -15, 7, 5],\n [3, 0, 13, 3, -12, 13, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-999", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -14, -15, -1, -11, 4, -5, -6],\n [15, -14, -13, 7, 7, -4, 4, -11],\n [-11, -10, 14, -7, -14, 5, -4, -13],\n [4, 10, 6, -4, 8, 1, -6, 14],\n [8, 11, -2, 7, 1, 2, 3, 1],\n [-2, -7, -8, -14, -3, 9, -9, -7],\n [6, 6, -5, -2, -12, 10, 10, 13],\n [-3, -14, 7, -11, -5, -10, 2, 5]]\nB =\n[[-6, -12, -7, -10, -14, 1, -11, 9],\n [-10, 10, -4, 7, 5, -6, 6, 5],\n [11, 9, 15, -10, 11, -8, -14, -4],\n [-3, 9, 5, -9, -6, -3, 1, 10],\n [5, 12, 14, 10, -2, -14, 12, 6],\n [-5, -15, 3, 5, -12, 3, 10, 13],\n [5, -5, -8, -5, -12, 1, 11, -9],\n [-8, -13, 6, -14, 7, -1, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-341", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -11, 8, -15, 10, -12, -1],\n [4, 3, -13, 4, -5, 1, 14],\n [11, -3, -5, -14, -7, 10, -14],\n [5, -7, -7, -8, 1, -15, 9],\n [13, -5, -8, -6, 9, -9, -13],\n [-13, 2, -11, -4, -4, 3, 14],\n [-10, -14, -4, 3, -11, -4, 11],\n [11, 1, 13, 1, -6, 9, 7]]\nB =\n[[1, -1, -4, 14, 0, 8, 3],\n [-8, 15, 5, 1, 7, -11, 6],\n [0, -10, -8, 9, 2, 9, -4],\n [-1, 11, 10, -7, -3, 10, -1],\n [-6, 0, -9, 1, 7, 10, 5],\n [6, 10, -9, -2, -1, 5, -9],\n [-7, 3, 0, -8, 2, 11, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-518", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[13, 2, 15, 14, 4, -9, -13, 2],\n [11, -6, -9, 1, -2, 15, 8, -13],\n [-4, 12, -3, -14, -13, -11, -5, -8],\n [10, 7, 7, -4, -9, -1, 8, 1],\n [-12, 13, 6, 9, -3, 2, -15, 0],\n [-3, -6, -4, 14, -14, 7, -13, -6],\n [-14, 14, 11, 7, -3, -3, 2, -13]]\nB =\n[[11, -9, -2, 4, 13, 14, 1],\n [13, 14, 5, -4, 9, 0, 8],\n [-4, -1, 9, -6, 14, 9, 15],\n [-9, 4, -11, -15, 14, 1, -13],\n [-3, -2, 8, 14, 2, -12, 2],\n [14, -11, 9, 0, -15, 5, -2],\n [-1, -7, -1, 1, 9, 8, -12],\n [-4, 11, 10, -11, 13, -11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9476", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, -10, -9, 8, 15, -2, 8, -5],\n [14, -3, -14, 9, -9, 4, -12, 11],\n [-8, 4, 13, 15, 6, 5, 3, -3],\n [-2, -6, -5, -14, 9, 10, -7, 1],\n [10, -13, 8, -10, -11, -11, 6, -1],\n [7, 1, -7, -13, 4, 10, 1, 13],\n [11, -6, -13, 2, 2, 14, 1, 8],\n [-13, -13, -10, -3, 8, 13, -1, 9]]\nB =\n[[-7, -12, -2, -11, -14, -5, -7],\n [8, -13, 11, 12, 13, -7, -13],\n [9, -14, -4, -6, -7, -1, -8],\n [9, -11, -5, 11, -14, 8, 12],\n [-1, -10, -8, 11, -11, 0, 10],\n [2, -10, -11, 12, 0, -3, 12],\n [-11, -3, 1, 2, -8, -3, 14],\n [13, 3, 10, -13, 8, -8, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1372", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 11, -3, -3, -15, -10, 8],\n [3, 0, -8, 12, -15, 11, 11],\n [0, -7, -3, -5, -3, 9, 5],\n [-6, -12, 15, 11, -10, 12, -9],\n [-11, -5, -3, 10, 9, 3, 15],\n [7, -6, -6, -5, 5, 14, -9],\n [15, 2, -12, -14, -2, -3, 13],\n [-4, -9, -14, -3, -2, 11, 1]]\nB =\n[[-7, 1, -8, 15, -14, 12, 8, -3],\n [-13, 0, -10, 3, 14, -9, -6, -7],\n [-14, 15, 12, 12, -1, 14, -11, 13],\n [6, -12, 4, -12, 2, -12, 11, 1],\n [-4, 6, 1, -6, 6, -15, 6, 10],\n [8, 11, 2, 2, -2, -1, 13, -4],\n [-12, 11, -13, 4, 13, -4, -9, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10460", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, -15, -10, -1, -1, 3, -5],\n [10, 7, 10, -14, -2, -14, 13],\n [-12, 1, -13, -3, -7, -9, -1],\n [7, 13, 13, -5, 4, -14, -1],\n [-2, 4, 6, -5, 11, -13, 1],\n [14, -4, 8, 12, 13, 5, -1],\n [0, -11, 11, 4, -10, 3, 9],\n [-11, -13, 11, -15, 10, 12, -10]]\nB =\n[[-1, -14, 13, -13, 1, 9, 8, -4],\n [2, -1, -4, 0, 11, -8, 12, -2],\n [9, 1, 13, 5, -8, -1, 11, -2],\n [2, 4, -9, -13, 13, -4, 5, 8],\n [12, 10, -13, 4, -2, -1, 9, 14],\n [-2, -9, 1, 14, -4, 4, -12, -7],\n [-10, 0, 9, 12, 15, 6, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-606", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[5, -14, 8, -8, -5, -3, 1],\n [-8, 5, 2, 14, 2, -2, -1],\n [15, -10, -5, -3, 9, -15, 12],\n [-10, -7, -8, -5, 6, 3, 8],\n [-7, 1, -4, 9, -2, -1, 0],\n [6, 6, 12, 4, -15, -6, -8],\n [2, 12, -15, -14, -15, -15, -7],\n [-3, 14, -15, -3, 4, 10, 6]]\nB =\n[[-9, -14, -10, -9, 10, -2, 10],\n [2, -1, -14, -6, 7, -4, 1],\n [-8, -5, 13, -13, 11, -10, -7],\n [-10, -7, -9, 15, -7, 2, -4],\n [-8, -8, 2, 12, 14, 4, 14],\n [-1, 11, 15, -9, -5, 4, 0],\n [-12, -10, 10, 6, 10, 15, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "367", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, -7, 12, -6, -2, -5, 2, 6],\n [-4, 7, -4, -3, 9, -3, 3, 10],\n [3, 7, -2, -12, -3, -8, 13, 7],\n [5, 7, 3, -4, 2, -10, 2, 3],\n [6, -11, 8, -7, 11, -13, 12, -6],\n [3, -13, 13, 13, 6, 15, -1, -15],\n [-9, -4, 1, 14, 5, 15, 10, 13],\n [8, 4, -11, -12, 12, -4, 14, 4]]\nB =\n[[12, 8, 2, 1, 3, -7, -12],\n [10, 5, -14, -12, -14, -1, -14],\n [-12, -10, -9, -6, 3, 3, 10],\n [6, 13, -4, -13, -3, 2, -8],\n [5, -1, -15, -13, 10, -8, -12],\n [0, 14, 7, -6, -4, -2, -2],\n [-14, 7, -11, -11, -10, -3, -7],\n [14, 6, 12, 13, -1, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2758", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 9, 4, -14, -9, -10, 1],\n [11, 9, 9, 12, -14, -13, -11],\n [-11, 15, -15, -8, -4, 8, -12],\n [-3, 7, -1, 15, -5, -6, -13],\n [6, -2, 0, -6, 13, -6, -4],\n [14, -7, -15, -11, 4, -8, -5],\n [-4, -15, 9, 6, 4, 12, 9],\n [-5, -11, -1, -11, -4, -11, 1]]\nB =\n[[1, 8, -4, 8, 12, -1, -1],\n [-10, -4, 11, 13, 4, 2, -2],\n [-14, -7, 15, -11, 4, 10, 13],\n [-15, 7, -13, -10, -11, 5, 11],\n [-11, -15, 1, 3, -2, -4, -6],\n [4, 5, 2, 8, 11, -5, 14],\n [-14, 9, 2, 13, 9, -9, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1277", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, -1, -5, 2, 7, -4, -10, 4],\n [7, 14, -3, 4, 0, 2, -6, 12],\n [7, -8, 2, 5, -15, 7, -8, 13],\n [-10, -11, -1, 6, -1, -14, -15, 7],\n [7, 10, -5, -6, 14, 2, 2, 1],\n [10, -8, -1, -8, 1, -4, 11, -8],\n [9, -2, -12, -15, -15, 3, 15, 0]]\nB =\n[[-2, 5, 0, -11, -7, 10, 14],\n [12, -14, 2, -10, 15, -7, -15],\n [-7, 9, 0, -3, -7, 5, -3],\n [15, -7, -5, -12, -14, 13, -10],\n [-2, -12, -10, 3, -10, -14, 2],\n [-3, -7, 7, 3, -3, -5, -15],\n [8, 14, 6, -9, 9, 5, -1],\n [-15, -4, 10, -9, -1, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "362", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[12, 13, 9, -15, 1, 1, -13],\n [-4, -10, 10, -5, -13, -8, -2],\n [-2, -6, -14, -2, -7, -13, 5],\n [10, -8, 0, -14, -10, 12, 5],\n [13, 10, 9, -4, -11, -14, 0],\n [-11, -1, -4, -12, -1, -5, 0],\n [7, -10, -2, 2, -4, 11, -5],\n [-3, 5, 7, -5, 7, 0, -1]]\nB =\n[[5, 12, -1, 9, -12, -5, 3, -1],\n [-12, 5, -3, 6, 3, -14, -2, 13],\n [-12, 0, 5, 4, -2, 11, 13, -1],\n [12, -13, -8, 0, -6, -12, 14, 2],\n [-14, 1, -3, -12, 10, 9, 14, -5],\n [-9, 15, -4, -6, -9, -3, 15, -9],\n [15, 8, 1, -6, 13, -6, 8, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10398", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 8) of the result:\nA =\n[[4, -12, 6, -9, 6, -15, -4, 8],\n [-3, -6, -1, 11, -3, 7, 6, 6],\n [5, 6, 12, -7, 10, -7, -1, -6],\n [8, 10, 9, 13, -6, -8, 8, 0],\n [1, 10, 11, -11, -12, 2, 8, 3],\n [-12, 12, -9, -6, 9, 2, 3, -12],\n [-6, -15, 7, 2, -11, -1, 1, -13]]\nB =\n[[-4, -14, -15, 7, 5, 1, 6, 0],\n [-11, -1, -13, 12, -9, -5, -6, -7],\n [-2, -3, 13, 9, 14, 9, -14, -13],\n [-9, 5, 2, -13, -6, 6, 13, -9],\n [-7, 1, -5, -9, 8, 12, -2, 3],\n [-12, 10, -10, -6, -9, -3, -2, -12],\n [-8, -11, -15, -12, -13, -7, -8, -15],\n [11, -10, -7, -9, -12, -3, 1, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-346", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[-14, 12, -11, -4, 11, 5, -8],\n [-10, -8, 2, -13, 6, -4, 13],\n [10, -13, 6, -10, -14, 7, -4],\n [-14, -10, 1, -13, -14, 7, 14],\n [4, -8, 6, -4, 10, -12, -11],\n [-3, 13, 15, -1, 9, 7, 0],\n [-6, 14, 14, 9, 7, 0, -4]]\nB =\n[[1, 0, -4, -8, 4, -13, 0],\n [14, -3, 7, 12, 3, -8, 6],\n [-11, 4, -8, 8, -4, -15, 9],\n [14, 5, 4, -10, 6, 2, -8],\n [-9, -15, 5, 0, -4, -10, 4],\n [-14, 13, -2, -12, -15, 7, 2],\n [-3, -14, -7, 5, -14, 11, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -15, -5, -13, 4, 14, 7],\n [10, -12, 2, 7, -10, -13, 6],\n [-5, -1, 6, 12, -11, 4, -6],\n [-4, -1, 1, -6, -10, 2, -3],\n [-13, 14, 8, -6, 14, -2, -10],\n [-13, 0, -9, 4, -2, -7, -1],\n [5, -13, -14, 11, -14, -13, 2]]\nB =\n[[-2, 4, 2, -6, 9, -14, 9],\n [13, 6, -15, -12, 15, -2, -15],\n [-2, 0, 6, -2, 13, 4, -13],\n [-13, -7, -10, 9, -3, 5, -14],\n [-8, 5, -14, -12, 9, -1, -12],\n [-3, 12, -4, 12, -3, 15, -2],\n [4, 2, 13, 12, 15, -10, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 14, -14, 12, 7, 3, 15],\n [3, -11, 3, -14, -6, 9, -14],\n [14, -5, 2, 13, 15, 8, -1],\n [-7, 7, 3, -7, -13, 5, -7],\n [12, 14, -2, 3, -9, 0, 0],\n [12, -15, -12, -12, -9, -8, 1],\n [-11, -9, 12, 4, 13, 4, -12]]\nB =\n[[12, -10, -9, 2, 15, -11, 4, 15],\n [14, 13, -13, -9, 11, 12, 6, -2],\n [-9, -11, 13, 6, -11, 14, 7, -14],\n [14, 11, 5, 6, -10, -1, 5, -6],\n [7, 10, 8, -9, -11, -15, -3, 5],\n [10, 2, -3, 5, 5, 2, -11, -3],\n [-12, 1, -13, 1, 12, -5, 15, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "271", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 7, 5, 10, 14, -12, -14, 4],\n [0, 12, 2, -8, -13, -7, 13, 4],\n [13, -10, -6, 5, -6, -3, 1, -7],\n [1, 8, -7, -7, -15, -14, 12, 0],\n [13, -15, -6, 2, 10, 12, -8, 5],\n [12, -5, 7, -14, -8, 11, 6, -8],\n [1, -1, 1, 12, 7, 8, -3, 3],\n [-11, -4, -15, 7, -11, -8, -3, -8]]\nB =\n[[9, 7, -5, -15, -3, 3, 8],\n [-13, 8, 1, -11, 4, 5, -8],\n [10, 15, -2, -12, -5, 4, -1],\n [3, -9, 3, 12, 3, -5, 10],\n [-11, -11, 14, 6, -8, -6, -10],\n [-1, 0, 12, 1, 15, -8, -8],\n [9, -7, -14, -1, 2, -13, 1],\n [-12, 14, -12, -2, -7, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "648", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 7, 14, 15, 2, -6, 5, -12],\n [-4, 11, -8, -14, 6, -3, 5, 15],\n [0, 12, -14, -5, -6, -1, 1, -8],\n [2, 7, -7, 9, -8, 11, -2, 12],\n [10, 9, 2, 6, 4, 14, 4, 5],\n [-4, 3, -2, 1, 8, 5, -13, 10],\n [14, 7, -9, 1, -4, -7, -1, 2]]\nB =\n[[5, -3, 14, 5, 14, -8, -2, -8],\n [-2, -9, 7, -4, -5, 6, 6, -5],\n [9, 6, 12, 13, -3, 2, -14, 13],\n [5, -1, 4, 11, 2, 15, -1, 3],\n [7, 8, -4, -3, 6, -5, -11, 13],\n [-15, 8, -13, 15, 6, 3, 7, 13],\n [14, -9, -4, -1, 9, -11, -1, -8],\n [-6, 10, 0, -8, -15, -4, -11, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1061", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-15, -12, -8, -13, -6, -14, -5, 9],\n [-6, 5, -2, -9, 11, 11, -14, -7],\n [0, -3, -7, 4, -12, 6, -6, 10],\n [10, 6, -4, 1, -2, -2, 9, -14],\n [5, 9, 4, -5, 0, 3, 15, 7],\n [-10, 8, 3, -11, 10, -12, -1, 13],\n [-12, 4, -6, 8, 6, -13, 10, -11]]\nB =\n[[-10, 5, 6, -8, -9, 5, -6, -10],\n [-2, -12, 12, 9, -3, 4, 1, 7],\n [-9, -12, 13, -2, -13, 8, -11, 0],\n [10, 7, 4, -12, 8, 14, 8, -14],\n [14, 2, 3, 15, 12, 12, 3, 1],\n [15, -2, 3, 6, 8, -3, -4, 14],\n [10, -10, 5, 15, -12, 3, 0, -3],\n [-12, 14, 7, 1, 7, -15, 2, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11081", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 1, 11, 12, 11, -1, -5],\n [9, 12, 6, -3, -15, 1, -10],\n [-12, 4, 0, -1, 11, -1, -10],\n [-1, -2, 12, -5, -9, -7, 10],\n [0, -11, 9, 4, 13, -6, 2],\n [-13, -3, -5, 1, 14, 14, 6],\n [-3, -10, 1, 11, -3, 3, 5],\n [3, -6, -13, -2, 10, 3, -11]]\nB =\n[[13, -11, 4, 1, 5, -6, -11],\n [-12, -10, 10, -12, 14, -9, -9],\n [2, -13, -15, 8, 9, -12, -10],\n [-7, 6, -2, 12, -4, 12, 9],\n [15, 4, 8, 9, -12, 5, 14],\n [8, -4, -6, 14, 6, 12, -9],\n [-13, 7, 12, -2, 8, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1700", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 6, 15, -6, 9, -3, -10],\n [-4, -7, -3, -12, 8, -5, 4],\n [2, 10, -5, 9, 5, -12, 2],\n [-15, 11, -9, -10, 15, -1, 2],\n [8, -5, 4, 8, -1, 0, -9],\n [5, -6, 10, -4, 8, -2, 9],\n [-11, 10, 5, 2, -11, -13, 7],\n [10, -11, 8, 1, 3, 3, 9]]\nB =\n[[5, -4, 9, 13, -7, -15, 2],\n [5, -12, 15, -6, 9, -9, 6],\n [7, -15, 1, 8, 13, 13, -14],\n [12, 10, -5, -7, -9, 6, 1],\n [1, -14, -10, -2, -10, -14, -15],\n [-6, 5, -11, -14, 6, 0, 9],\n [-14, -6, -14, 0, 0, 3, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1915", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-9, 6, -4, 8, -1, -8, -10],\n [12, 11, -6, -13, 3, 15, 1],\n [-9, 5, 4, 10, 15, -12, -2],\n [4, 6, -1, 8, -8, 5, -1],\n [6, 4, 12, -2, 11, 13, -7],\n [-8, 10, 12, 10, 1, 15, -14],\n [9, 8, 14, -13, -8, -4, -15],\n [-6, 4, -13, -10, -9, 4, 7]]\nB =\n[[9, 11, 2, -5, 3, -11, 3, -5],\n [8, -4, -6, -8, 8, 12, 12, -7],\n [-12, -11, 5, -8, 7, -7, -1, -1],\n [0, -2, -8, 2, -6, 12, 4, -10],\n [-4, -14, -9, 0, -13, -3, -13, 11],\n [2, -5, -8, -10, -15, 12, -15, 7],\n [-8, -11, 12, 0, -5, -11, -12, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "831", "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, 6, 3, -7, -4, -5],\n [-2, 7, 0, -15, 15, -3, 7],\n [5, 5, 14, -3, -14, -12, 12],\n [-10, 10, 15, 11, 7, 11, -11],\n [9, -13, -15, -12, 9, 4, -14],\n [10, 14, 14, -11, -13, 13, 12],\n [13, -7, 4, -10, 2, -10, 3],\n [12, -4, 9, -5, -14, -1, -4]]\nB =\n[[-4, -7, 5, 8, -14, 6, -13],\n [-4, 12, 14, 10, 0, 5, 12],\n [8, 10, 14, -15, 5, -13, 4],\n [-14, -7, 3, -1, 2, 10, -5],\n [9, 7, 0, 6, 1, -11, -4],\n [-5, 14, -1, 11, -13, -15, 4],\n [13, 0, -14, -14, -13, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10210", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[12, -1, -9, -10, -7, 4, 12],\n [-15, -8, 7, 7, 15, -13, -12],\n [10, 9, -1, -10, -1, 15, 5],\n [-13, 9, 5, 5, -2, 4, -2],\n [-12, -4, 1, -9, -7, -13, 12],\n [-3, -1, 2, 3, -15, -10, 11],\n [11, 7, 11, 11, -14, 8, -2]]\nB =\n[[-10, -2, -12, 5, -8, 14, -13],\n [3, 14, 15, -2, 11, 4, 1],\n [9, -8, 8, -2, 10, -10, 7],\n [6, 0, 9, 3, -2, 3, -13],\n [-6, 3, -7, 12, 4, -3, -9],\n [-2, 15, -7, 11, 12, 7, 9],\n [12, 3, -1, 4, -2, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-768", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 13, -12, -8, 1, 14, -7, -15],\n [8, 4, 9, -2, -5, 5, -13, -7],\n [11, -2, 14, -7, -12, 11, -12, 12],\n [-8, -14, -7, 13, -2, 6, -7, 8],\n [15, 15, 7, 0, 13, 14, 1, 0],\n [14, -4, -13, -5, -2, 2, 5, 15],\n [5, -11, 0, 4, -11, -13, -4, -15],\n [5, 13, -7, 13, -7, -12, -13, 1]]\nB =\n[[-14, 8, -15, -8, -3, 7, -1, -8],\n [-4, 6, -4, -2, -1, -1, -7, 3],\n [10, 4, 13, 6, -8, 5, 3, -10],\n [4, 9, 13, 3, -12, 7, -9, 12],\n [12, -12, 6, -4, -3, -13, 6, -4],\n [-14, 8, -14, 11, 7, -7, -15, -8],\n [7, -10, -10, 6, 9, 2, 1, 13],\n [-4, -10, 10, 11, -8, 3, 12, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "292", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-15, 9, 13, -3, 1, -13, -8],\n [-2, -13, 0, -3, 4, 8, 1],\n [-3, 13, -10, 1, -2, 1, 14],\n [-8, -5, 4, 12, -15, 10, -9],\n [5, 5, 1, 14, -6, -5, 6],\n [14, -7, -7, 8, -11, 1, -7],\n [1, 8, 5, 3, 11, -9, 7]]\nB =\n[[-7, -9, -3, -5, -2, 3, -5, -3],\n [15, -2, -3, -15, -8, -4, 3, -4],\n [-8, -8, 13, 5, -3, -4, 13, 0],\n [-15, -3, 10, -9, 12, 10, -11, -8],\n [9, 11, -2, 7, 14, -3, -1, 7],\n [1, -1, 4, 2, 2, -14, -12, 14],\n [-15, 15, -12, 2, -11, 3, -1, 12]]\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[[-8, 4, 1, -15, -4, 10, 3, -1],\n [-7, -9, -14, 15, 13, -7, -6, -14],\n [3, -5, -3, -6, -2, 2, 3, 6],\n [-7, 9, -9, 12, -13, 4, -10, 11],\n [5, -14, 13, -10, -13, 0, 14, -8],\n [-14, 1, -7, 14, -4, -13, -5, -15],\n [7, -3, -1, 10, -11, 5, 14, 1],\n [15, 15, 9, 7, 8, 9, -10, 12]]\nB =\n[[5, 6, -5, 2, -12, -13, -3, 7],\n [-7, 5, -10, 10, 14, 12, -4, -14],\n [-13, -13, 12, -4, -1, -7, 15, 7],\n [-8, -5, 0, 10, 11, 9, 6, -12],\n [12, -15, 8, -9, -14, 8, 12, -11],\n [-9, -12, -11, 8, -15, -15, -1, 4],\n [3, 13, -6, 12, 2, 12, -13, -5],\n [-1, 15, 11, 14, -5, 1, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11983", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, -8, -14, 0, 4, 8, -4],\n [-10, -15, 15, -12, 1, -3, 2],\n [-11, 14, 8, 8, 11, -13, -5],\n [-3, -12, 10, 11, -2, 6, -5],\n [11, -6, 3, 2, -10, 11, 13],\n [-1, 5, 14, -6, -11, 10, 13],\n [-11, -6, 12, -11, -13, 7, -10]]\nB =\n[[-12, 2, 12, -7, 1, 13, -3, 11],\n [-1, 14, 4, 1, -3, 0, 6, -12],\n [-11, -11, -7, 1, -3, -14, -3, 6],\n [5, 11, 7, 3, -13, -6, -14, -3],\n [3, 10, 1, 5, -2, 15, -4, 5],\n [-4, -5, -9, -12, 3, -15, 12, 15],\n [8, 13, -13, -3, -1, -14, -5, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3958", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 13, 1, -13, 12, 2, -8, 6],\n [9, 8, 10, 3, -11, -9, 5, -8],\n [12, -11, 1, -11, -12, 6, 3, 15],\n [11, 5, -14, -5, 6, -3, -1, -4],\n [6, 5, 6, -5, -9, 12, -11, 1],\n [8, 4, -7, -2, 10, -4, -10, 1],\n [3, 3, 10, 0, -4, -4, 4, -10]]\nB =\n[[15, 7, 10, -12, -10, -5, -15],\n [14, 8, 7, -1, 11, -5, 9],\n [3, 2, 1, 3, 5, -2, 11],\n [2, 12, 3, -1, 15, -1, -12],\n [-9, -3, -13, 0, 15, -7, -8],\n [4, -3, 1, 1, 1, -15, -8],\n [3, 15, -10, -13, 11, -11, -3],\n [-1, -2, 13, 15, 7, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "586", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, 13, 6, -5, -13, 6, -6],\n [-6, 14, 5, 0, -4, -14, -7],\n [8, -13, 8, 14, 9, 14, -1],\n [-13, 3, 2, -8, 10, 1, -8],\n [-9, 14, -9, -13, -15, -12, 9],\n [-11, -15, -1, -11, -3, -8, -8],\n [-11, 12, -7, 15, -15, -12, -13]]\nB =\n[[-14, 15, -8, 7, -7, -14, -2],\n [-2, -12, 14, 15, -10, -5, -13],\n [-8, -13, -2, 12, -3, -3, -14],\n [-3, 13, 3, 11, -10, 0, -14],\n [-8, 1, 7, -14, -6, 12, 0],\n [-10, 12, -14, -14, 10, -3, 8],\n [-1, 15, 12, -14, -9, -13, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1155", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -2, 8, 14, 7, 11, 6],\n [13, -9, 5, -9, -15, 1, -7],\n [14, 5, -3, 5, 3, 5, 3],\n [9, 9, 6, 15, 1, 7, 7],\n [14, -6, -6, -12, -8, 6, 4],\n [4, 2, -2, 2, 12, -2, 4],\n [5, 8, -1, 6, 14, 15, -12]]\nB =\n[[-3, 11, 7, -8, 2, -4, 7, 15],\n [-2, -14, 2, 8, -14, 15, -5, -7],\n [-4, 1, -1, 9, 15, 1, 10, 13],\n [10, 2, 6, -10, 1, 7, 8, 2],\n [-8, -7, -10, -11, -4, 9, 13, 12],\n [-5, 9, -15, -5, 3, -7, 11, -14],\n [-4, -12, -12, 2, -1, 3, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1324", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[1, -10, 0, 8, -4, 3, -11],\n [1, 10, 7, 10, 13, -15, 12],\n [11, 9, 8, 7, -6, -1, 7],\n [5, 5, -5, -3, -11, -15, 8],\n [-4, -5, 1, -12, -1, 9, 14],\n [-7, 5, 4, 3, 3, -4, -11],\n [-6, 1, -11, 6, 0, -9, 12]]\nB =\n[[-7, -13, -1, 0, 2, -2, -13, -4],\n [-7, 12, -9, -7, -3, 2, -11, -3],\n [-12, 15, -14, 0, -7, -7, -10, -5],\n [6, 8, 6, -15, -12, -3, 7, -3],\n [-3, -14, -7, 8, -8, -9, -12, 2],\n [-13, 12, -10, -4, -4, 5, 12, -8],\n [6, 6, -15, -12, 5, 12, -5, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-296", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 9, 1, 6, 6, -6, 5, -4],\n [-1, 5, -6, -2, -3, -11, -10, 8],\n [-14, 6, 1, -12, -2, -6, -13, 9],\n [-13, -1, -10, 1, -4, 6, 4, 8],\n [13, -5, 9, -12, 10, 12, 10, -10],\n [-15, 4, 7, 12, 0, -1, 1, -8],\n [12, 10, -4, 11, 6, 5, -6, 11]]\nB =\n[[-1, 14, -7, -14, -11, -10, -9, 5],\n [9, -15, 7, 10, -9, 4, 9, 14],\n [-4, 0, 0, -5, 5, -12, -3, -9],\n [-12, -1, 3, -7, -5, -8, -15, 7],\n [9, 8, -8, -3, 6, 11, -12, -8],\n [-13, 13, -7, 13, -14, -14, 12, -3],\n [-1, 12, 7, -4, 10, -12, 10, -8],\n [-7, 7, -11, 8, 4, 2, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1293", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, 6, -7, 1, 11, 10, -4, -9],\n [-6, 9, 10, 9, -6, 11, -3, 3],\n [-5, -3, 5, -8, -8, -12, -1, 15],\n [12, -5, -5, -15, 1, -1, 4, -10],\n [8, 6, 12, 9, -1, 15, -7, -2],\n [2, 10, 1, 2, -11, 4, 4, -7],\n [-5, 8, 6, -15, 2, -10, 11, -14],\n [-1, 13, 10, 5, -2, -11, -10, -10]]\nB =\n[[14, 6, 14, 2, -2, -6, -2],\n [-3, 15, 14, -13, 14, -10, 13],\n [-8, -4, -3, -5, -4, -15, 1],\n [0, -5, -3, 2, -5, 15, 12],\n [-4, -10, -7, 0, -12, -13, 12],\n [0, 8, 11, 10, 14, 9, -4],\n [-5, -11, 9, 2, 3, 7, 7],\n [-10, 6, 2, 10, -10, -12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1658", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[3, 13, 11, 13, -14, 1, -5],\n [-5, 5, 0, -14, -14, 7, -8],\n [-3, -6, -8, 14, -12, -1, 14],\n [-15, -5, -9, 1, 11, 4, 8],\n [2, 6, 13, 6, -4, -7, -11],\n [-6, -12, -11, 12, 12, -6, 15],\n [-5, 5, 8, -6, 12, -8, -14]]\nB =\n[[7, -8, 0, 11, 6, -11, 11],\n [9, 13, -13, -4, -3, -3, -6],\n [-12, -7, 6, 8, 7, 11, -14],\n [3, -15, 9, 13, -9, 1, -13],\n [4, 4, 5, 14, -13, -13, 1],\n [-9, 11, 10, -2, 1, 2, -3],\n [4, 13, 4, 5, 11, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-223", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-15, 2, -15, 10, 10, -3, 4, 4],\n [7, -6, 11, -5, -7, -7, -11, 10],\n [-15, 1, 6, -14, 8, -3, -7, 13],\n [-12, -11, -5, 8, 3, 5, -13, -4],\n [10, 3, 3, -3, 12, -9, -1, 7],\n [-9, 10, -8, -11, 5, -2, -12, 7],\n [-6, 4, -1, 2, 4, -3, 13, -8]]\nB =\n[[-7, 0, 3, 0, -9, -2, 12, -2],\n [9, 11, -12, 10, -1, -13, -11, -15],\n [-13, -1, 8, 11, -8, 15, 13, -12],\n [-14, 13, 8, 8, -6, -12, -13, -14],\n [9, 1, 7, 5, 8, 4, 7, -3],\n [-11, 15, 14, 5, 14, -7, 9, 13],\n [9, 12, 6, -10, -11, 9, -6, -8],\n [-9, -9, -10, 5, 13, 4, -13, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -1, -12, 12, -4, -10, 3],\n [15, -12, -1, -7, -11, -3, 7],\n [10, 2, 14, 14, -11, 9, 0],\n [11, 3, -2, 9, 14, 0, 11],\n [-1, 6, -12, -9, 0, 8, 6],\n [5, 6, 5, -8, 1, 0, 11],\n [7, 15, -6, -6, 11, -14, 15],\n [14, -7, 1, -5, -6, 6, 9]]\nB =\n[[1, -12, 0, 4, -1, 9, 11, 5],\n [-11, -10, 1, -15, 15, 9, 3, -12],\n [1, -7, 15, 8, -14, -8, -1, -9],\n [11, -10, -15, -1, 7, 10, -9, 13],\n [14, 9, 1, -14, 11, -7, 13, -7],\n [-3, -10, -10, 4, 4, 5, -13, 1],\n [15, 1, -4, 0, -1, -3, 7, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1062", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -13, 10, -1, -12, -12, 2],\n [1, 3, -5, 4, -13, -8, -2],\n [10, -15, -2, -14, 13, 7, -12],\n [8, 11, 13, 3, -10, 9, -15],\n [1, -8, 3, 5, -15, -11, 11],\n [0, -10, -8, -3, 0, 14, -13],\n [3, -4, 0, 11, -5, -6, 9],\n [4, 15, -12, -4, 7, -14, 8]]\nB =\n[[6, 3, 9, -11, -8, -9, -2],\n [8, 7, -13, 2, 0, 7, 3],\n [3, 2, 4, 0, -8, 12, -15],\n [1, -4, 14, 5, -5, -11, 11],\n [-4, 1, -10, -15, -11, 9, 12],\n [-2, -11, 6, 8, 11, -15, 14],\n [2, 0, -7, 3, 6, -11, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-266", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-14, 14, -1, -9, -12, -15, -3],\n [4, 6, -9, -1, 7, -2, 7],\n [3, 6, 13, 8, 4, 13, 8],\n [2, 15, -6, -7, 9, -8, 10],\n [14, 13, -6, 1, -14, -10, 10],\n [-11, 12, 14, -7, -11, 2, 10],\n [4, -7, 1, 11, 1, -4, -9],\n [11, -13, -6, -14, 9, -13, 0]]\nB =\n[[-14, 12, 8, -6, -10, 6, 10, -5],\n [7, -9, 11, 13, -1, -10, 4, 11],\n [-7, 6, 4, -4, 3, 4, -13, -1],\n [-14, 14, 5, -14, 6, -13, -10, -1],\n [11, -6, -7, -15, 0, -10, -7, 11],\n [-12, 11, 12, -14, 13, -12, -15, 3],\n [10, 9, -6, 5, -1, 11, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "586", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 5, 11, 8, 6, -12, -14, 14],\n [9, -3, 12, -15, 1, -3, -12, -9],\n [1, -7, -12, 3, -15, -6, -12, -7],\n [-3, -2, -6, -10, 0, -10, 1, -6],\n [2, 11, 6, 2, -13, 4, 11, 5],\n [15, 9, 12, -1, -1, -12, 13, 11],\n [-7, 11, 10, 3, 8, 12, 1, -5],\n [9, -7, -6, 2, 4, -3, -8, -9]]\nB =\n[[1, 5, 7, -1, 4, -1, 15],\n [-15, 9, -2, -11, -5, 0, -14],\n [-8, -5, 13, 2, -13, 14, 10],\n [-15, -5, 0, 2, 14, 0, 7],\n [-6, 2, -10, 15, 3, -12, 11],\n [15, -3, 8, -2, -13, -6, -10],\n [-15, 7, 8, 11, -2, -8, 3],\n [-2, -6, 1, -7, 13, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "777", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[9, -9, 1, 12, 12, -15, 6],\n [-11, -7, 2, 8, 11, 5, -14],\n [13, 10, -5, 11, 12, -10, 10],\n [-8, -12, 2, 12, -5, -11, -1],\n [12, 2, -14, 15, 6, -5, 10],\n [9, -3, -12, 6, -9, 13, -5],\n [6, 8, -12, 12, -1, -15, 7],\n [-13, -2, -10, 2, 9, -15, -10]]\nB =\n[[-10, 5, 0, 13, -11, 1, -6],\n [12, 5, 2, -9, -13, -3, -1],\n [4, 3, -13, -12, -11, -15, -12],\n [-4, 12, 11, 8, -6, 7, 9],\n [5, 13, 15, 10, 4, 8, 9],\n [-3, 7, -2, 7, -11, -12, -2],\n [-6, 1, -6, 10, -9, 0, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "351", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 5, 13, -7, -10, 3, -3, -13],\n [-9, 6, -7, 6, -11, -6, 7, 1],\n [-4, 7, 0, -13, 14, 9, 15, 6],\n [-7, 13, -1, -11, 7, -3, -2, 4],\n [-1, 0, 7, -3, 1, 7, -8, 5],\n [-14, -11, -10, -4, 2, 14, 6, 6],\n [-15, 14, 1, 14, -5, -6, 3, -2]]\nB =\n[[10, -6, -1, 12, 3, -12, -14, -7],\n [-6, 12, -5, -2, -9, 7, -1, 6],\n [15, 3, 6, -1, 14, 12, 8, -8],\n [-5, 13, -7, -1, -15, 14, -15, 3],\n [-13, -6, -8, -1, -6, -15, 13, 2],\n [-14, 3, -3, 6, -15, -14, 13, 0],\n [-1, -3, 0, 1, 5, 13, 13, -9],\n [8, 10, 1, -9, -3, -11, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1211", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[-13, -9, 10, 1, -9, 5, -15],\n [1, 14, 1, -5, 9, 11, 13],\n [-13, -1, 13, 5, -5, 10, 12],\n [0, 9, 6, 12, -7, 8, 8],\n [-15, 13, 9, 6, 0, -7, 3],\n [-4, 3, 6, -7, -9, -2, 13],\n [3, 3, -14, -7, -3, -1, -13]]\nB =\n[[-5, 5, -2, 14, 9, -8, 2],\n [3, 0, -14, -8, 6, -10, -4],\n [-1, 9, -8, -12, -1, 12, 4],\n [9, 1, -3, 2, -14, -3, -3],\n [6, -1, 4, 13, 11, -6, 13],\n [-13, 3, -13, 6, -2, -8, 11],\n [7, 14, -12, 11, 12, 4, -5]]\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 value at position (6, 7) of the result:\nA =\n[[10, 15, -5, 11, 14, -5, -14],\n [14, 1, -7, 12, 15, 12, -14],\n [13, 8, -1, 0, 9, -12, -8],\n [-7, 10, 10, -11, 0, -3, 14],\n [-9, 10, 4, 1, -13, -11, 3],\n [-4, 13, 11, -9, 12, -7, 15],\n [12, -10, 13, 10, 1, 0, 7],\n [15, -13, 5, 10, -12, -6, -11]]\nB =\n[[5, 6, 14, -6, -4, -6, 13],\n [-3, -5, 6, 0, -8, -8, 11],\n [9, -8, -3, 11, -14, 14, 14],\n [-4, -6, -4, -5, -1, 0, 1],\n [10, -14, 2, -4, 3, 10, 7],\n [2, 14, 1, 14, -10, 9, -1],\n [-13, -10, -13, 14, 13, -15, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "537", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 12, 5, 10, -2, -3, 11],\n [-12, -9, 6, -6, -9, 5, -1],\n [-1, -12, 7, 7, -10, 8, 4],\n [10, -11, 4, -4, -15, 12, -8],\n [-15, -11, 15, 6, -10, 13, 5],\n [-13, -1, -11, 12, 8, -2, 2],\n [0, -10, 9, 8, -2, 11, 8],\n [-8, 15, 13, -9, -8, -3, -10]]\nB =\n[[2, -14, -8, -5, -15, 6, 13],\n [-10, 0, 11, 4, -4, -5, 13],\n [15, 11, 13, -6, -13, -3, 11],\n [-13, 15, -1, 0, 13, -3, 1],\n [-13, 4, -5, 11, 5, 3, 6],\n [-5, 14, 15, 12, 0, 5, -13],\n [6, -10, 15, -2, 8, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3111", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, 7, -1, -5, 10, -13, -13],\n [0, -11, 5, 13, -6, 3, 9],\n [-12, 13, 13, 15, 3, -5, -14],\n [-6, 13, -5, 9, 4, 0, 3],\n [7, 8, -5, -2, -14, 7, 12],\n [-11, 15, 11, -11, 3, 5, -4],\n [2, -12, 6, 1, -6, 4, -10],\n [9, -2, -5, -5, 13, 2, 11]]\nB =\n[[7, 6, 2, 8, 7, -5, 5],\n [-4, -11, 7, -7, 11, 15, 9],\n [-7, 6, -6, 6, 3, -15, -9],\n [-12, -15, -1, -8, -4, 6, 6],\n [2, -1, 1, 13, -2, -2, 2],\n [4, 2, 0, -15, 7, 11, -5],\n [-1, -4, -8, 6, 4, 14, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-811", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 7) of the product of the following matrices:\nA =\n[[-13, 12, 8, 10, 14, -3, -3],\n [-14, -11, 1, -10, -14, -12, 6],\n [10, -5, -8, -4, -8, -5, 6],\n [4, -8, 13, -8, 10, 14, 1],\n [4, 4, 7, 0, -2, 14, -5],\n [-9, 0, -3, 11, -1, 8, 0],\n [11, 5, 7, 8, 15, -7, -13],\n [3, 4, -11, -6, 1, -1, 15]]\nB =\n[[7, 9, -8, -1, 15, 5, 14],\n [-2, 4, 12, -9, 5, 7, -4],\n [1, 1, -6, 14, 13, 3, -2],\n [-5, -14, 2, -9, -4, 10, -14],\n [11, 4, 2, -10, 8, -6, 4],\n [-1, -11, 4, -13, -11, 14, 9],\n [-8, -8, -8, -4, 8, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "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, -8, 13, 14, 8, 12],\n [-6, -9, 12, 1, -12, 13, -3],\n [-12, -11, 10, 6, -12, 15, 2],\n [-10, 15, 8, 15, 8, 7, 6],\n [-14, 15, 7, -5, 12, -2, 14],\n [-11, -10, -6, -8, -2, 8, -13],\n [-4, 0, 12, 14, 7, 1, -15],\n [7, 15, 15, -6, 9, 7, -6]]\nB =\n[[5, 8, -14, -7, 6, -3, 9],\n [0, 2, 3, -4, -8, 1, -1],\n [-6, -1, -1, 15, 7, -9, -3],\n [1, -7, -8, 4, 10, 11, 5],\n [2, -3, 0, -7, 15, -4, -4],\n [-10, 3, 12, -9, 9, -13, 0],\n [2, 0, 7, -9, -12, 11, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8565", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, -8, -3, -3, 1, 1, -11],\n [-10, 3, -3, 9, 12, 10, -2],\n [15, 6, -12, 12, -9, -8, 9],\n [-3, 11, -10, 15, -10, 8, 12],\n [5, 14, -13, 12, -13, -3, 6],\n [-14, 0, 6, 13, -10, -8, 7],\n [-8, 14, 9, -10, -2, -13, -6],\n [-13, 11, -4, 1, 11, 15, 13]]\nB =\n[[15, -11, 14, 4, 9, 15, -7],\n [15, 14, 5, 10, 4, -9, 15],\n [6, -12, -3, -3, 15, -6, 2],\n [1, 4, 4, -3, 1, 6, -12],\n [-15, -15, -1, -3, 1, 8, 10],\n [-8, 2, 11, -3, 7, -2, -8],\n [-8, 11, 10, -1, 11, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10965", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-11, 1, 12, 9, 13, 0, 7],\n [-14, 6, 2, 15, 1, 14, -9],\n [-3, 2, 13, -2, 14, 2, -3],\n [-5, 5, 14, 5, 0, 7, 1],\n [-8, 3, 4, -1, -7, 4, -6],\n [-4, 15, 5, 7, 4, 14, -15],\n [9, 4, -7, 6, -1, -15, -4],\n [-13, -5, -14, 0, -7, -1, -4]]\nB =\n[[-15, -3, -2, 9, 9, -8, -8],\n [11, 14, -4, -15, -5, -8, -6],\n [14, 3, -5, -9, -5, 15, 1],\n [-15, 10, 13, 5, 5, -8, 7],\n [8, -10, 6, 2, -10, -11, -3],\n [3, 6, -8, -7, 1, -13, 3],\n [-5, 8, 1, 5, 3, -14, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "438", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 3, -9, 12, 11, 1, -10, 3],\n [8, -10, 12, -14, -10, 7, -11, 3],\n [4, -12, 6, 10, 1, -5, -12, 10],\n [-3, 4, 10, 1, -7, -12, 7, 12],\n [-2, 3, 10, 12, -13, -2, -8, 8],\n [11, 12, -15, -6, 2, 0, -8, -15],\n [15, -4, -8, 8, 0, 2, -12, -10],\n [-4, 11, -7, -1, 0, 8, -4, 15]]\nB =\n[[8, 7, -2, -3, 9, 15, -14, -13],\n [10, 8, 14, 6, -6, -7, 10, 4],\n [-8, -6, 3, -13, 8, -11, -13, 10],\n [11, 0, 1, -1, -13, -4, -7, 5],\n [-4, 10, -1, -14, 7, 15, 2, 4],\n [-4, 7, -12, 7, 0, 7, 0, -15],\n [6, 9, -14, 14, -13, 10, 5, 9],\n [4, 1, 4, 6, 5, 14, 13, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-696", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, -10, 13, -1, 10, 10, -2, 4],\n [-1, -2, 9, 5, 8, 9, 10, -11],\n [-10, 1, -5, 0, -4, -1, 7, -12],\n [11, 2, 5, 12, -13, 6, -8, 7],\n [-13, -8, 2, -6, 9, 4, 1, -8],\n [7, -5, 13, -11, 10, -3, 5, 7],\n [-11, 8, 11, -3, -10, 13, -11, -7],\n [11, 0, -14, -15, -8, 12, 3, 14]]\nB =\n[[-5, 12, -4, -4, -9, 10, -3, 11],\n [-8, 15, 13, 13, 6, 12, 10, 14],\n [-7, -9, 15, 10, 5, 8, -1, -14],\n [7, 15, 4, 9, -4, -15, 7, 6],\n [-8, -11, -1, -15, -15, 9, 15, -6],\n [6, -6, 5, -1, 1, 6, -10, -13],\n [-3, 0, -8, 14, -1, 1, 1, 6],\n [10, -3, 1, -10, 1, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1957", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -13, -2, -2, -1, -8, 13],\n [-1, 6, 13, 11, -3, 1, 15],\n [5, 8, -13, 12, -10, -11, 6],\n [10, 1, 7, 9, -14, 10, -1],\n [-11, 10, 4, -10, -10, 11, 2],\n [2, -12, 1, 9, -2, -2, -3],\n [-9, -4, 7, -1, 3, 15, -5],\n [-1, -4, -13, 1, -13, 3, 4]]\nB =\n[[-12, -13, 10, 0, -4, -8, 8, 13],\n [13, 1, -9, -5, 2, -15, -13, -12],\n [-3, -10, 10, -2, -11, 0, -1, -1],\n [14, -12, -8, 11, 0, 12, 0, 14],\n [-12, -3, 10, 12, -3, -14, 15, -13],\n [6, -8, 8, -1, -5, 15, -7, -9],\n [-3, -14, -8, -9, 8, -4, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "486", "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, 13, 9, 0, -13, 14, -6, -10],\n [2, 2, -11, 5, 13, -9, 12, -14],\n [-5, 14, -3, 7, -11, 14, -10, 8],\n [10, 13, -2, -4, -12, 13, 7, -10],\n [-6, 2, -1, -8, 10, -7, -11, -6],\n [4, -10, 0, 8, 11, 15, -13, -6],\n [-5, -5, 1, -12, 15, -12, 1, -7],\n [3, -11, 6, 8, -10, -13, 6, -15]]\nB =\n[[4, 6, 0, 7, -5, -3, 11, -6],\n [-13, -7, 12, -4, 7, -2, -15, 2],\n [1, 11, -7, -7, 7, -6, 3, 13],\n [-1, -11, -1, 4, 7, 14, 9, 12],\n [-14, -3, 8, 0, -1, 9, -6, -2],\n [-6, 9, -2, 10, 14, 7, 15, -7],\n [9, -2, -13, 4, 0, -14, -6, -13],\n [-5, -5, 5, 5, 6, -3, -9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11038", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 14, -14, -4, 9, -6, 2],\n [6, 11, -5, 0, 1, 3, 2],\n [-13, 5, 11, 10, 0, -10, 9],\n [-4, -5, -1, -1, 0, -6, -4],\n [12, -3, -12, -9, 6, -14, 10],\n [11, 11, 11, -1, 15, -8, -9],\n [15, -1, 7, -2, 15, -8, 12],\n [-4, -3, 14, -5, 1, 15, 13]]\nB =\n[[1, 8, -12, 5, -8, -11, 10, 0],\n [-12, 12, 6, 13, -1, -4, -11, 14],\n [7, 0, -2, -6, -9, -3, 4, 12],\n [13, -11, 13, -13, -1, -12, -1, -2],\n [4, 3, -3, -6, 5, -11, 11, 7],\n [4, 13, 4, 9, -10, 15, -12, -14],\n [6, 0, 2, -11, 6, -12, 14, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "760", "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, 7, -14, -3, -5, 14, 6],\n [13, -12, 6, 4, 4, -1, -12],\n [-7, -9, 3, 3, -10, -10, 4],\n [-1, -1, 9, 4, -7, -12, 2],\n [2, -11, 4, 7, 14, -5, -11],\n [6, 10, -12, 13, -4, -14, -3],\n [-6, -7, -6, 15, -9, -12, 3]]\nB =\n[[-6, 14, 15, -13, 9, 5, 13, 15],\n [3, 15, 5, -14, 11, 4, -6, -14],\n [-14, 12, 8, 1, 0, 0, -2, -9],\n [5, 15, -5, 8, -15, -5, 7, 5],\n [-12, -9, 10, -1, 2, -4, 15, 1],\n [-15, -5, 12, -15, -1, 12, 5, -6],\n [-9, -14, -6, 8, -12, -4, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10361", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[-5, -8, 2, -5, -5, -3, -13, -4],\n [-13, -6, 11, 1, 6, -14, 1, 0],\n [-14, 12, 6, 14, 4, -10, 12, 9],\n [13, -6, 12, -6, -8, -15, -3, 8],\n [-7, 6, -6, -1, -11, 6, 0, -3],\n [6, 9, 4, 2, -5, 11, -7, 0],\n [-14, 10, 9, -14, -4, -8, -7, -4],\n [10, -7, -6, 9, -14, 0, 4, -9]]\nB =\n[[12, -14, -15, 3, 12, -12, 8],\n [6, 11, -14, 15, 9, -2, -14],\n [13, -1, -4, -11, 12, 4, 13],\n [-9, 8, 5, -6, -2, -2, -11],\n [2, 8, -2, -14, 10, -4, 6],\n [8, -10, -12, -3, -12, 6, -2],\n [15, 0, 13, -12, 8, 9, -15],\n [-3, -12, 4, 2, -10, -13, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, 11, 0, 11, -11, -12, 5, -8],\n [3, -2, -9, 15, -2, -10, -4, 0],\n [1, -3, 7, -2, 13, -9, -2, -1],\n [-4, 1, -7, 6, -1, -4, -14, -11],\n [-3, 11, 4, 7, -8, 11, -2, -1],\n [-5, -15, 5, 15, -13, 1, 12, 3],\n [-2, 6, 14, 7, -8, -3, 11, 4],\n [-13, -11, -7, 13, -10, 15, 9, 15]]\nB =\n[[6, -14, -3, -11, 12, 11, 9, -8],\n [7, -15, 4, -4, 7, -5, -9, -1],\n [6, 8, -5, 13, 6, 10, 0, -13],\n [4, -2, -13, -15, 15, 10, 5, -1],\n [-15, 1, -14, 13, 4, -10, -8, 13],\n [0, 3, -15, -13, 12, -13, -11, 11],\n [-4, -4, 4, -3, 4, -7, -9, -12],\n [3, 6, 3, -10, 11, -3, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "573", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 5) of the result:\nA =\n[[-3, 12, 9, 6, 12, 4, -1, 5],\n [-3, 6, -5, 3, -8, 4, -8, -6],\n [10, 0, 3, 10, 7, -5, -3, 12],\n [-7, 4, 8, 3, 0, -9, 3, -4],\n [-1, 15, 7, -2, -5, 10, -6, 11],\n [-5, -10, -14, -5, 3, -10, -2, 4],\n [-10, 1, -6, 12, -15, -13, -8, -8],\n [11, 4, 6, -1, 8, -9, -5, -9]]\nB =\n[[13, -12, 9, -4, 10, -10, -2],\n [-4, -5, 3, 5, -11, -2, 5],\n [8, 0, 9, -3, 9, 13, 6],\n [6, 9, 4, 6, -12, -5, 1],\n [-9, -2, 10, -5, 12, 6, -7],\n [7, -3, 7, 2, 12, -5, -1],\n [9, 10, 9, 6, 13, 3, -15],\n [-12, -2, -2, -13, 14, 12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-861", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-13, 0, -2, 14, 4, 13, -3, -1],\n [-2, 8, 9, 3, -10, -6, 11, -1],\n [5, 6, 4, 10, -10, 7, 9, -6],\n [-9, 6, 1, 2, 1, -7, -6, -6],\n [9, -9, 0, 13, 2, -10, 11, 4],\n [-15, -15, -4, 5, 12, -14, -12, 1],\n [-12, -5, 6, 10, -12, -15, -9, 14],\n [2, -7, 13, -13, -8, 13, 8, 3]]\nB =\n[[-12, 2, 4, 11, -5, 11, -2],\n [9, 2, 12, 12, 13, 0, -13],\n [-1, 11, 11, 15, -12, -11, 1],\n [-9, 0, -2, 10, 0, -9, -7],\n [-12, 14, 14, 6, -5, -14, -4],\n [-4, 14, -12, 2, 10, 5, 15],\n [-9, 13, -15, 15, 10, 10, 7],\n [10, -3, -10, -10, -4, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10905", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[6, 3, -11, 2, 15, 14, -11, 14],\n [9, -6, -15, -6, -11, -4, 6, 14],\n [11, -9, -7, 6, 5, -4, 7, 13],\n [-15, -5, 14, 5, -1, -14, 4, -9],\n [5, -4, 6, 2, -13, -9, -5, 2],\n [-4, -10, -11, 10, -15, -4, 11, 15],\n [10, -5, -12, 11, 2, -12, 1, -14],\n [13, 8, 6, -14, -4, 15, -10, -6]]\nB =\n[[9, 7, 9, 5, 7, 11, 0, 15],\n [-2, -9, 12, 12, 3, 7, 1, -7],\n [10, -3, 6, -11, 7, -11, -6, 5],\n [11, -6, 11, -9, 10, -1, -9, 13],\n [11, -1, -13, 3, -6, 12, 13, -1],\n [-13, -10, -4, -1, -10, -3, 13, 3],\n [-13, -8, -8, 7, 10, 4, -1, -12],\n [3, 5, -13, -3, -8, 7, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "48", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[-13, 0, -7, 12, -2, -3, 5],\n [9, -9, -1, -9, -10, -14, -7],\n [6, 8, 1, -11, -4, -15, -6],\n [-5, 0, -2, -8, 8, 1, 9],\n [2, -4, 9, 1, 12, 10, -2],\n [0, -2, -7, -12, 9, 7, -5],\n [-10, -1, -11, -5, 9, 2, 14]]\nB =\n[[-3, -5, -2, 12, 2, 11, 12, 15],\n [9, 12, 3, 8, 11, -1, -7, -8],\n [4, 12, -15, -12, -2, 9, -14, 0],\n [-13, 10, -8, -10, 0, 8, 0, -9],\n [14, -3, -3, -11, 9, 4, 6, 2],\n [-1, 2, -14, -6, 7, -3, 2, -1],\n [15, -4, -1, -3, 2, -1, 9, 7]]\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[[-5, 3, -13, -9, 5, 10, -2],\n [-2, 6, -3, -4, 8, -7, -15],\n [3, -5, 7, 6, 7, 8, 6],\n [3, 2, -4, 7, 12, 12, 12],\n [11, -15, 3, 12, 11, 4, 13],\n [14, 1, -11, 10, -13, -14, 15],\n [-13, -8, 0, -10, -3, 14, 7]]\nB =\n[[12, 6, 6, 0, 12, 0, -13],\n [12, -3, -2, -8, -4, 7, 7],\n [6, 5, 10, -8, 5, 9, -7],\n [-15, -10, 7, 3, 7, -5, -5],\n [7, 14, -3, -5, 2, 7, -1],\n [-15, 5, 9, -9, 7, 11, -3],\n [-4, 2, 8, 3, -1, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "283", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -9, 2, 0, 4, 11, -10, 11],\n [-7, 5, -3, 9, 15, 5, 10, -8],\n [0, -3, -3, 1, 7, 4, -11, 6],\n [5, 12, 1, 12, -7, -14, 9, 10],\n [2, -7, -10, -5, 9, 13, -10, -10],\n [-3, -5, -2, -14, -8, -13, 7, 5],\n [-13, -15, 8, 3, 2, 1, 4, 13]]\nB =\n[[8, -3, -13, 14, -15, -12, 9],\n [-3, 1, 12, 14, -5, -14, 9],\n [0, -14, 13, 3, 7, 3, 9],\n [0, 6, 3, -7, -15, -6, 3],\n [-15, -14, 0, -4, -8, 7, 2],\n [-14, 9, 13, -3, -10, 5, 10],\n [-10, -7, 0, -5, -9, 15, -6],\n [-6, 14, 9, 4, 2, 12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 13, -7, 15, -1, -12, 15, -8],\n [-7, -3, -7, 10, -12, 1, 0, -1],\n [-13, 9, 4, -11, 7, -11, 4, -1],\n [2, -1, -14, 13, -3, -12, -6, -3],\n [-6, 13, 15, -7, -8, -13, 0, 15],\n [-2, -7, 14, 5, -5, -13, -11, 13],\n [-6, -3, -12, 8, -3, -4, -11, -6]]\nB =\n[[12, 8, -7, 4, -9, -14, 6, 8],\n [12, 7, -9, -8, -9, 5, 7, 13],\n [-2, 10, 3, -11, 7, 15, 9, 15],\n [2, 4, -4, 7, 1, -3, -14, 9],\n [-3, 10, -9, 12, -6, 7, -10, -13],\n [10, -13, 2, -5, 6, 4, -11, 3],\n [6, 11, 12, 3, 14, -1, 14, 0],\n [8, -7, -12, -1, 9, -4, 7, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9280", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, -2, 1, 3, -10, -12, -9],\n [14, 3, 1, 9, 0, -1, 6],\n [-8, 3, -8, 2, 12, 0, 4],\n [3, -6, 1, 15, -3, -3, -9],\n [11, -6, -14, -12, 9, -10, 8],\n [2, 7, -10, 13, 14, 9, 7],\n [1, -2, 8, -5, 10, 15, 3]]\nB =\n[[14, -14, 12, -13, -5, -10, 13],\n [-2, 3, 10, 0, 5, 6, 8],\n [-9, 14, 11, -8, 3, 4, 0],\n [6, 11, -9, -7, -3, -15, 13],\n [15, -8, 8, 6, -12, -13, 11],\n [-13, 6, -3, -8, -9, 11, -15],\n [11, 0, -10, -9, -4, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[11, -5, -6, 5, -15, 2, 15, -12],\n [-11, -7, 11, 15, 1, -13, 0, -11],\n [0, -13, 4, -1, 14, -13, 4, -2],\n [15, 0, 13, 13, 15, 15, 1, 12],\n [8, 4, 7, 2, 2, 6, -2, 2],\n [-1, -1, -10, 11, -1, 2, -12, 7],\n [-8, -1, -13, 14, -1, -3, -7, -14]]\nB =\n[[8, -8, 13, 14, 4, 1, -3],\n [-15, -14, 14, -1, -4, -2, 9],\n [13, -14, 2, 6, -9, 13, 7],\n [15, 13, 9, -10, -2, -8, 11],\n [6, -14, 1, -11, -2, 9, 8],\n [14, 13, 4, 5, 13, 5, 6],\n [-13, -11, 0, 2, 10, 1, -5],\n [1, 0, 10, 7, -14, -12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-472", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (8, 7) of the product matrix AB given:\nA =\n[[-9, -14, 14, -10, 1, -9, 9],\n [-11, -11, 4, 0, 3, -7, -11],\n [-8, -7, -11, -6, 9, -14, -7],\n [-5, -12, 6, 6, 6, -14, 7],\n [13, -10, 11, -2, -15, 2, -9],\n [-15, 15, -15, -15, 8, -12, -12],\n [13, 2, 11, -5, 11, -15, 12],\n [-6, -7, 7, -12, 12, -10, 14]]\nB =\n[[0, -14, 7, 2, -6, 8, 8, 1],\n [-3, 8, 2, 6, -3, 1, -11, -5],\n [-9, 13, -6, 1, -1, 2, 7, 6],\n [3, 14, 10, -14, 10, -12, -13, -9],\n [8, 2, -6, -9, -8, -10, 6, 10],\n [-15, -12, -2, 1, 4, 2, -5, 13],\n [5, 10, -2, -7, 11, -1, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 4) when matrix A is multiplied by matrix B?\nA =\n[[3, 8, 3, -10, 4, 8, 11, -10],\n [-8, -15, 6, 1, 1, 8, -1, -9],\n [3, 6, 15, 9, 7, 12, -13, 14],\n [14, 13, 6, -5, 4, 14, 13, 3],\n [-7, -6, -14, -15, 15, 14, 0, 2],\n [7, 10, 1, -10, -2, 7, 9, -1],\n [-2, 8, 6, -13, 8, 7, 3, 9]]\nB =\n[[-4, -14, -13, 2, 13, -15, 4, 5],\n [13, -10, -11, -15, 3, -15, 11, 5],\n [5, 0, -4, 11, 13, 6, -8, 10],\n [0, 12, -15, -12, -6, -5, 1, 9],\n [11, 7, -9, -4, 5, -9, -4, -1],\n [-14, -2, -3, -12, -2, -2, 0, -9],\n [3, -14, -6, 2, 13, 1, -11, -4],\n [-10, 6, -7, 4, -15, 6, -1, 5]]\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 absolute values of all entries of the result:\nA =\n[[10, -10, 3, 2, -10, -3, -15],\n [7, 7, 10, -3, -9, -1, -4],\n [11, 10, -15, -1, -12, -3, 7],\n [11, 9, -11, 13, -14, 7, 10],\n [-15, 0, 7, -10, 7, 0, -2],\n [13, 10, -13, -1, -13, 7, 13],\n [-14, -15, -7, -7, 7, -9, -13],\n [10, 15, 2, -5, -9, -7, -15]]\nB =\n[[13, -2, 4, -10, -9, -6, -9, 10],\n [-14, 14, -12, 5, 14, 12, 1, -15],\n [-6, 3, 15, -1, -6, 3, -4, 8],\n [0, -7, -1, 14, 11, 12, 1, -2],\n [11, 2, 10, -14, 15, -12, 2, -9],\n [-3, -1, 9, 7, 12, 6, 15, 10],\n [-15, -5, -6, 9, -11, 0, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10179", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[-10, -7, -3, 8, -8, -2, 8],\n [-15, 1, 8, -11, 9, -14, 9],\n [12, 14, 8, -7, -12, 1, 1],\n [5, 2, 0, 14, -8, 10, -5],\n [5, 5, 2, 7, 13, 8, -6],\n [-3, 1, 2, -6, 0, 4, -11],\n [-3, 2, 1, -7, -2, 1, 13],\n [15, -12, 2, 11, 4, 8, 8]]\nB =\n[[-1, -5, -4, -7, -3, -1, 11, -1],\n [12, -11, 7, 3, 10, 4, 10, 9],\n [10, 10, -2, 12, 1, 2, 5, -13],\n [-14, -15, -6, 3, 1, -4, -15, -4],\n [1, 8, 15, -13, -5, 1, 7, 10],\n [-13, -8, 4, -12, 5, 6, -9, -2],\n [-2, -12, 0, 8, 13, 6, 14, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "214", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 9, -6, 6, 0, 0, 10],\n [-8, 13, -9, 12, -10, 0, 4],\n [0, -9, -7, -2, -5, 10, 10],\n [-2, -9, -15, 10, 9, -3, 4],\n [15, -13, 4, -12, 13, 10, -5],\n [-14, -2, -4, 14, 1, -4, 10],\n [-4, -15, -3, -2, 8, 14, -14]]\nB =\n[[-4, 10, 5, 12, 0, -12, -8, -14],\n [-6, -7, 7, -1, -3, 7, 1, 14],\n [0, 12, -14, 4, 4, 11, -2, -13],\n [7, -4, -8, -14, -12, -2, 0, 3],\n [-14, -4, 13, -2, -10, -3, -12, 6],\n [2, -4, 4, 11, 6, 14, 5, 3],\n [-8, -9, 0, 3, -10, 4, 11, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-425", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 8) of the product matrix AB given:\nA =\n[[-5, -11, 0, -9, 11, -11, -5, -1],\n [-13, 10, -11, 7, 5, -11, -7, -1],\n [-13, 13, -10, 1, 10, 5, -8, 5],\n [9, -5, -10, -8, -6, 8, 13, -13],\n [7, -2, 7, -2, -6, -4, -10, -4],\n [7, -2, -14, -7, -6, 10, 1, 1],\n [-13, 14, 15, 3, -15, -4, -9, -12]]\nB =\n[[-6, -3, -14, -6, 5, 6, 9, -12],\n [2, -11, 3, -14, -4, 1, -6, -14],\n [-10, -8, 13, 3, -5, 15, 9, 15],\n [-4, -7, -14, -8, 10, -5, 12, 5],\n [-12, -6, 5, 4, 0, -8, -12, 13],\n [-6, -4, 13, -2, 0, 6, 2, 5],\n [6, 5, -4, 2, 14, -9, 4, 8],\n [7, -9, -7, -15, 10, -10, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-163", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[13, -4, 6, -4, -6, 7, 14],\n [10, -10, 1, 3, 2, -10, 8],\n [3, -6, 8, -8, 5, 8, -10],\n [5, 9, 14, -9, 8, -15, 11],\n [2, 8, 12, 9, 4, -4, 0],\n [-6, 11, -6, -2, 9, 4, -6],\n [-6, 10, 9, -5, 7, -14, 9]]\nB =\n[[4, -8, 14, 7, 13, 15, -9, -8],\n [-15, 5, -14, 2, -1, -15, -11, -14],\n [4, -13, 3, 2, 13, 6, 2, -2],\n [14, 8, -8, 13, 14, -4, 5, -6],\n [7, 4, 1, -5, -14, 10, 10, -12],\n [-15, -1, -3, -8, 9, -12, -6, 3],\n [2, -11, 14, 3, 10, 7, 11, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10035", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 7) of the product matrix AB given:\nA =\n[[0, -15, -4, 8, -14, 5, 9, -8],\n [2, 9, 0, -11, 10, 14, 6, -3],\n [3, 13, -13, 10, -8, 11, 10, 10],\n [15, -4, -14, -5, -4, 12, 2, -3],\n [-11, 6, -4, -14, 15, -11, -9, 10],\n [10, 8, -4, 0, 7, -8, 14, 12],\n [-7, -1, -11, -3, -11, -5, -6, 4],\n [-3, -7, 5, -2, 2, -1, -6, 8]]\nB =\n[[15, -9, -8, 12, -13, 15, -1],\n [0, -12, 5, -10, -15, -12, -5],\n [-4, 10, 13, -11, 7, 13, 5],\n [0, -3, -3, 1, 11, -9, -8],\n [-3, 7, 11, 0, 14, 13, 15],\n [-12, -8, 0, 15, 5, -6, 9],\n [-4, -4, 10, -11, 0, -15, 12],\n [-7, -4, -11, 6, 4, 6, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "211", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, -13, -11, -14, -2, -14, -3],\n [-9, -6, -3, 0, 10, -2, -5],\n [-6, -10, -12, 5, -15, -9, 8],\n [-7, -8, -11, 3, -6, -5, 9],\n [-1, -10, -1, -11, 13, 3, 6],\n [3, -6, -4, 6, -12, 15, 2],\n [0, -8, -12, 9, 7, -4, -14],\n [-12, -11, -13, -7, 13, 5, 2]]\nB =\n[[-5, -13, 14, 15, 9, 7, -14, -7],\n [-2, -12, 13, -7, 15, -3, 2, -1],\n [12, -6, 0, -4, 4, -11, -14, -6],\n [-15, -9, 10, 1, 0, 11, 11, 8],\n [-13, -2, -6, 6, -9, 10, 1, 14],\n [-10, 7, 6, -12, 1, 11, -7, -12],\n [-9, 7, -14, 1, 8, -8, 7, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "590", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, -1, 15, -1, -8, 0, 3, -5],\n [-14, 7, 8, 1, 12, 10, 0, 9],\n [-1, -3, -1, 11, -12, 0, 14, -4],\n [14, -12, -13, 6, 1, 6, 2, 9],\n [2, 7, 12, 1, -4, 7, 5, 8],\n [-12, 15, -4, 15, 10, 7, 6, 5],\n [4, -1, 7, 12, 0, -11, 5, -1],\n [1, 2, -11, -3, 3, 14, -3, 2]]\nB =\n[[-2, 14, -12, -12, 4, 4, 3],\n [-3, -4, -9, 9, -4, 5, -12],\n [11, -14, -14, -11, 7, -6, -6],\n [-7, -3, -9, -11, 10, -6, -6],\n [-10, 11, 12, 3, 5, -8, -15],\n [12, 1, -9, -2, 5, 14, 5],\n [1, -7, 1, -11, 10, 9, 14],\n [15, 4, 13, -8, -10, -5, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9504", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, -12, 2, -15, -3, -2, 8],\n [-15, 14, 13, -5, 1, -12, 10],\n [-4, -6, 15, -10, 9, -15, -9],\n [10, 11, 5, 12, 15, 0, 8],\n [-2, 7, 4, 4, -10, 6, 9],\n [12, -11, 8, 5, 2, -1, -10],\n [9, 13, 3, -15, -15, -3, -13],\n [-6, 5, -13, -7, -8, -13, 9]]\nB =\n[[15, -3, -10, -3, 7, 4, 4, -4],\n [-3, -14, 5, 8, 7, 0, 7, -10],\n [3, 5, -3, 1, 7, -7, 1, 13],\n [-14, 3, 3, 8, -9, 6, 15, -6],\n [-6, 11, 4, -7, 1, 11, -1, -14],\n [15, 14, -12, 3, 1, -11, -9, 2],\n [5, 6, 11, -9, 1, -9, -12, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -12, -10, 9, -11, 14, -4],\n [-12, 8, 13, -7, -12, 3, 8],\n [-2, -11, 2, -6, 9, 3, -4],\n [2, 1, 14, 8, -5, -13, 7],\n [1, -15, -1, 12, -7, -1, 12],\n [8, 12, 13, -13, 6, 11, 3],\n [-3, -4, 4, -15, 5, 1, -3],\n [-15, -6, -1, 11, 11, 14, -9]]\nB =\n[[12, 6, 2, 0, -2, 11, 12],\n [2, 11, -9, 1, 13, 2, -4],\n [-8, 6, 15, 14, -14, -9, -12],\n [2, 12, -10, 11, 15, -7, 11],\n [-7, -2, -8, 15, 3, -13, 2],\n [-11, -2, 12, 14, -12, -9, 4],\n [9, 12, -4, -14, -5, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9458", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 3) of the product of the following matrices:\nA =\n[[15, 7, 0, 4, 13, -10, 7],\n [-12, -1, 8, 9, -15, -9, 9],\n [15, -4, -6, -11, -4, 2, -6],\n [-10, 12, -4, -9, 2, -14, -6],\n [-1, 14, -4, 10, 1, -12, -9],\n [14, -7, 15, 3, 12, 11, 7],\n [-9, 7, -14, -10, 2, -10, -3],\n [10, 3, 14, -14, -4, -1, -2]]\nB =\n[[-10, 2, -11, 2, -13, -13, 6],\n [6, -6, 3, -13, 13, -4, 13],\n [0, 1, -9, -3, 8, -14, -12],\n [-6, -9, 8, 1, 4, -10, 3],\n [-11, -6, -7, 11, -3, 3, 5],\n [8, -10, -12, 8, 11, -13, -13],\n [-12, 9, -11, -8, 0, 6, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, 8, -4, 9, -8, -3, -12, -2],\n [-2, -3, 11, -10, 1, -12, -8, 1],\n [-13, 1, -7, -14, 9, -3, 4, -14],\n [4, 12, -5, 11, 10, 6, -1, -5],\n [7, -13, -13, 12, 10, -4, 8, -11],\n [4, -9, -9, -3, -7, 9, 5, -3],\n [-4, -3, 8, -6, -15, 9, -8, 6],\n [0, -3, -13, -13, 8, -11, 10, -5]]\nB =\n[[14, -9, 5, 8, -6, -6, 4, -14],\n [-13, -8, 15, -5, -3, -9, -3, -14],\n [-10, -7, 15, 4, 9, -14, 2, 0],\n [9, -4, -9, -9, 1, -3, -5, -10],\n [13, 7, 11, -2, -10, -10, -14, 6],\n [4, 9, -1, 12, 1, 13, -8, -11],\n [1, 4, -15, 6, 2, -1, -11, -9],\n [2, -10, 6, 5, -11, 14, 3, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12085", "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, -1, -6, 11, 0, -4, 2, 7],\n [-15, 0, 6, -10, -13, -14, 12, -14],\n [14, -3, -7, 0, 11, -11, 7, 12],\n [5, -9, -3, 4, 8, 13, 11, 14],\n [10, -3, 11, 10, -9, -6, -1, 5],\n [11, -10, -11, 7, 12, -14, 5, -1],\n [10, 0, 15, 3, -7, 13, 6, 13],\n [10, 3, -9, -12, 14, -13, 8, 13]]\nB =\n[[4, -5, -15, -10, 10, -5, 11],\n [-15, 5, -9, 15, -10, -2, -14],\n [11, -12, -5, -1, 2, 11, -15],\n [15, -13, -13, 15, 12, -9, -15],\n [9, -5, -10, 4, -13, 15, 3],\n [-14, 2, 14, -4, 13, -6, -11],\n [-7, -14, -14, 12, -10, 13, 15],\n [-6, 2, -4, -12, 6, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12642", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -10, 0, 1, -13, -6, -11, -2],\n [10, 13, 5, -3, 10, -10, 15, -4],\n [10, -8, -11, 14, -1, 11, 0, -15],\n [0, -11, -13, 4, -1, 15, -3, 8],\n [0, 7, -5, 5, -14, 6, 11, -10],\n [10, 10, 14, 11, -10, -2, 9, -5],\n [-8, -8, -15, 5, -9, -10, 5, -8]]\nB =\n[[3, 6, 15, 5, 8, 4, -8],\n [10, -2, 15, 2, 9, 13, 0],\n [-7, -1, 14, 10, -6, 13, 6],\n [0, -12, 4, -3, 6, -11, 6],\n [-9, 7, -7, -8, 13, 0, -10],\n [12, 0, -10, 15, -2, 5, -15],\n [9, -7, 9, 15, 11, 8, -3],\n [10, 13, 3, 1, -5, 12, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-743", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-8, 7, 13, -11, -6, -9, -6],\n [-12, -7, 11, 10, -2, -14, 9],\n [-7, 5, 11, -15, 7, -6, -6],\n [4, 9, 6, 13, -13, -10, 13],\n [10, -10, 5, -14, 10, 10, 2],\n [7, -14, -4, 6, -11, 4, -9],\n [8, 0, 4, -15, -15, 1, 11]]\nB =\n[[-15, 5, 4, -3, 14, -7, -1],\n [-13, -2, 7, -5, 8, 6, -4],\n [-3, 10, -3, -15, 8, 15, -6],\n [-13, 8, 12, -12, 0, -8, 0],\n [11, 1, 3, 6, -1, 0, -1],\n [9, -14, -5, -15, -1, 10, 3],\n [-12, -5, -11, -13, -3, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-390", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -14, -9, -7, -6, 2, 7],\n [-9, 11, -9, -13, -4, -9, 1],\n [10, -15, -11, 0, -1, -14, -7],\n [15, -9, -12, 4, 2, 5, -12],\n [12, -3, -15, 12, 8, -13, 0],\n [14, 6, -12, 9, 7, 9, 0],\n [10, 3, -15, -11, 3, 6, 8]]\nB =\n[[-5, -3, 4, -11, 5, -12, -12, -12],\n [-12, 4, 5, 2, 2, 0, -7, 2],\n [6, -14, 5, -12, -4, -9, -1, -9],\n [13, 6, 10, 5, 1, 0, 12, 15],\n [3, -7, 15, -2, 1, -11, -14, 4],\n [0, -2, -2, 11, -15, -13, 10, -9],\n [10, -1, 3, 4, -14, 3, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "560", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[11, -11, 2, 0, -12, -4, 13, -9],\n [-2, 7, -4, -13, -11, 1, 10, -6],\n [-6, -5, 1, -11, -3, -6, -7, 1],\n [-15, -12, -12, 2, -7, 14, 9, 13],\n [13, 2, -2, 9, -1, -10, 8, -6],\n [13, -1, 13, -12, 2, 2, 9, 1],\n [-4, -9, 0, -5, -2, -13, 3, 2],\n [14, -6, -10, -3, -6, 2, 10, 15]]\nB =\n[[4, 10, 0, 9, 9, -10, -3, -12],\n [7, -2, -15, 12, 4, -11, -8, -4],\n [-14, -4, -11, 6, -11, 15, -3, -7],\n [-6, -15, 14, -13, 14, 2, -4, 13],\n [-13, 10, 9, 13, 14, -7, 10, -14],\n [14, -13, -2, -12, 9, 3, -3, -9],\n [-4, -13, 7, 7, -7, -14, 13, 6],\n [-7, -4, 15, -4, -1, -14, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-609", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -11, 10, -6, -4, -6, 8, -5],\n [15, 9, -14, -11, 14, -9, 15, -10],\n [6, 7, -13, -3, -13, 10, 9, 14],\n [8, 5, -10, -5, 12, 10, 1, -6],\n [-4, 1, -12, -14, -5, -9, -14, 10],\n [2, 5, -12, -8, 4, -2, -4, 6],\n [5, 11, 14, 2, -5, 15, 13, 12]]\nB =\n[[14, -8, -14, 9, -1, -7, 3],\n [4, -8, 9, 3, -11, -5, -1],\n [-8, 3, 7, 11, -8, 10, 11],\n [14, 3, 2, -6, 13, -9, 12],\n [-7, -15, 3, -11, 3, -15, -1],\n [0, 7, -9, 10, -4, -8, -11],\n [-6, 12, 5, -11, 1, 10, -11],\n [6, -1, -3, 12, -15, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2873", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-15, -5, 2, 2, 5, 14, 10, 0],\n [-3, -9, -15, 10, 0, -15, 1, -10],\n [-14, 1, -10, -2, 2, -10, -6, 8],\n [2, 11, -7, -8, 12, -6, 1, 7],\n [14, 13, 10, -10, -2, 6, 6, -10],\n [10, -9, -4, -13, -2, 6, 3, 7],\n [0, -9, -8, 2, 9, -3, 5, -7],\n [-6, 5, 7, 11, -7, -1, 4, -14]]\nB =\n[[9, -3, -14, 3, 10, -14, -13],\n [-10, -13, 15, -6, 8, 11, -10],\n [7, 0, 1, 3, -13, 2, -9],\n [-7, 4, -4, -11, -13, -5, 9],\n [14, -12, -11, -15, 11, 12, 15],\n [13, 2, -4, -3, -7, -14, -11],\n [-3, 0, 0, 8, -13, 6, -12],\n [-5, 7, 10, -2, 13, -13, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "643", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -1, 12, 15, -6, -7, -5, 0],\n [-6, 1, 3, -14, 8, 7, -14, -10],\n [15, 3, -8, 10, 13, -13, 10, -2],\n [9, 0, -15, 5, -13, 6, 10, 2],\n [-7, -10, 7, 5, 9, -15, 5, 11],\n [-6, 11, -10, 7, -4, -12, 12, -3],\n [1, 15, 11, -8, 10, 4, -13, -4]]\nB =\n[[-9, -4, -14, 8, -2, 6, 7],\n [14, -11, -7, 5, -5, -11, -13],\n [11, 1, -14, 8, 15, -15, -9],\n [14, -2, -11, 3, 12, 12, 15],\n [-5, 7, 9, -14, -8, -7, 11],\n [-13, -14, -9, -11, 5, 10, -11],\n [4, -3, 5, 13, 4, 15, 13],\n [-10, 4, 2, 9, -14, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1598", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 7) of the product matrix AB given:\nA =\n[[-10, -7, 9, -13, -15, -15, 3, -11],\n [-3, 3, -4, 0, 9, 9, 3, -13],\n [-4, 14, -11, -14, 6, -9, -3, 9],\n [-1, 6, -13, 12, 5, 4, 15, -11],\n [8, -8, 6, -15, -8, 8, 2, 4],\n [12, 0, 2, 4, -4, -3, -3, -6],\n [-9, 9, -2, 14, 8, 0, -1, -4],\n [-7, -8, 2, 7, 2, -3, 12, 11]]\nB =\n[[2, -1, -12, 1, 15, -11, 6],\n [0, -7, -6, 8, 2, 1, 2],\n [-9, -12, 10, -11, 12, 7, 0],\n [-13, 10, 2, 13, 7, 5, -2],\n [-1, 1, -15, 9, 5, 1, 7],\n [9, -5, 1, 10, -2, 13, 4],\n [14, 3, 5, -9, 8, -3, 2],\n [7, 14, -2, -15, -9, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (8, 3) of the product matrix AB given:\nA =\n[[-7, -15, 13, 6, 1, 3, 11],\n [-10, -13, 8, -11, -14, 4, 9],\n [-12, -6, -6, 8, 5, -5, 11],\n [0, 10, 13, 13, 14, 15, 1],\n [0, -9, 0, -13, 10, 0, -8],\n [14, -4, -13, 1, 5, 2, -5],\n [-12, 0, 1, -7, -10, 8, 11],\n [4, 9, -14, -7, 12, 5, 13]]\nB =\n[[-10, -13, 4, -10, -9, -15, 7, -15],\n [-11, -10, -3, -14, -1, -1, -3, 10],\n [9, -2, 10, 6, -9, -2, 15, 10],\n [15, 8, 11, 15, 13, -6, 1, -2],\n [-8, -12, 10, 0, 8, -3, 15, 6],\n [11, 9, 11, 4, 2, -2, 2, -11],\n [10, -7, 12, -13, -8, 4, 6, -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, 14, 5, 12, -13, -5, 15],\n [-5, 15, 1, 0, -9, -12, 14, 7],\n [3, -4, -1, 15, -5, -11, -11, -1],\n [13, 2, -5, 10, -4, -14, 4, -1],\n [4, -12, 6, 2, -10, 7, 11, 10],\n [3, -5, 12, 8, -14, 11, -8, 13],\n [-5, -11, 2, 7, 14, 2, -2, 6]]\nB =\n[[-6, -13, -7, -13, -5, 15, -4, -4],\n [-13, 5, -9, -2, 8, 12, -5, -9],\n [9, 5, -6, -5, -1, 3, 0, 6],\n [5, 12, 4, -4, 2, 7, -3, -11],\n [-12, 12, -2, -8, -7, 9, 3, -13],\n [-11, 5, 10, 2, -15, -8, 3, 1],\n [1, -5, 15, -14, -10, 6, -2, -13],\n [-4, -12, -4, -3, -14, -14, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8877", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[13, 1, -9, 14, 12, -2, -4, 14],\n [1, -2, -10, 3, 8, -10, 11, 2],\n [8, -11, 8, 8, -10, -14, -8, -1],\n [-1, -5, 6, 6, 8, -15, 2, -4],\n [-4, 9, -5, 12, -8, 12, -9, 7],\n [5, -14, -5, 6, -6, -13, 4, 13],\n [-6, 12, 11, 2, -2, 2, 12, 8],\n [-8, -6, 6, -3, 5, -8, -12, 11]]\nB =\n[[-12, -11, -15, 1, -14, 14, -8],\n [-9, 15, -1, 10, 9, -11, -14],\n [-9, 15, -8, 12, -9, 14, -9],\n [12, 15, -2, 5, 2, -10, -12],\n [-6, 2, -4, 0, 9, -9, -10],\n [12, -11, -13, -4, 15, -1, -6],\n [10, 4, 3, 0, 12, -5, -8],\n [-13, 7, -9, 7, 13, -9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-14, -6, 3, 10, -7, 0, 3],\n [2, -7, 0, -3, -6, 9, 4],\n [-2, -4, 9, 3, -9, 7, -1],\n [0, 11, -8, -6, 15, -12, 3],\n [3, 15, 12, 5, 11, -1, -2],\n [-15, 0, -6, 3, 14, 6, -13],\n [-11, -7, 2, -5, 0, -14, -4],\n [6, -10, -5, 11, -8, -4, 13]]\nB =\n[[11, 14, -14, -7, -1, -14, 13, -15],\n [-6, -14, -4, 7, -8, -11, 6, 12],\n [-15, -1, -10, -4, 15, -8, -3, 3],\n [11, -15, -5, 4, -15, 14, -8, -11],\n [1, 14, -8, 9, -6, -14, -7, 8],\n [7, -13, 2, -9, -1, 5, 6, 4],\n [2, 9, -13, 12, 14, 7, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10614", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-14, -2, 6, -5, 0, -8, -9, -5],\n [-13, 1, -2, -10, -8, 6, -11, 11],\n [12, -8, -14, -1, -4, 15, 1, -15],\n [-1, -2, 4, 6, 0, 13, -7, -15],\n [12, 1, 13, -3, 5, 10, 5, -11],\n [-6, -10, 8, 3, 9, -3, -15, 4],\n [9, -1, -2, -8, -6, -7, 1, -7]]\nB =\n[[-13, -5, -4, -6, 9, 1, 1, 9],\n [-5, 14, 6, -12, -9, 5, 10, -2],\n [-9, 8, -8, -15, 8, 6, -12, 13],\n [14, -4, 8, -13, -3, 4, 15, -10],\n [-5, 7, -12, 4, 0, -9, 6, 13],\n [-5, 8, -15, 10, 13, 11, -9, -4],\n [-9, 11, 7, -9, -6, 14, 0, 10],\n [-8, -7, -7, -14, -3, -3, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-12, 9, 8, -4, 1, -14, -3, 15],\n [13, 2, 12, 12, 11, -1, 15, -8],\n [-1, -15, 4, -6, -4, -11, -7, 7],\n [-8, 0, -2, 11, 9, -3, 7, 5],\n [-3, 15, -11, 0, 10, -5, 6, -11],\n [-3, 12, -5, 9, 3, -13, -1, -9],\n [-9, -10, -13, 14, -3, -9, -11, 7]]\nB =\n[[2, 6, 14, -8, 1, 4, 11, -15],\n [-2, 1, -6, -4, 0, -2, 14, 11],\n [0, -8, 7, 12, -6, 13, 1, 11],\n [14, 13, 2, 4, 0, 1, 0, 3],\n [8, 8, -8, -10, -10, 5, 13, -7],\n [-12, 10, 15, -4, 12, -4, 7, 1],\n [-1, -7, -9, -6, 0, -4, 9, -9],\n [2, -1, -10, 10, -4, -5, 4, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-14, -10, 8, 6, 9, 14, -11],\n [2, 0, -8, 9, 14, 10, 4],\n [6, 15, -5, -6, 8, 9, -4],\n [5, 12, -10, 11, 4, -11, 7],\n [-7, 10, 11, 13, 0, 6, -2],\n [6, -8, 11, 4, 3, -2, -9],\n [-11, 2, -14, -5, 6, -8, -15]]\nB =\n[[15, 11, 6, -4, -14, 2, -9],\n [10, 1, 6, 14, 7, -2, 8],\n [-9, 6, 9, 13, -13, 11, -10],\n [4, -14, 1, -4, -4, 14, 1],\n [11, -6, -13, 4, 2, -3, -4],\n [11, 11, 14, 11, 1, -12, 15],\n [7, -6, -5, -10, -10, 11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8834", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[14, -1, -14, -12, -11, 1, -8, -8],\n [6, -4, 5, -8, 3, -13, 2, 5],\n [3, 3, -1, -10, 0, -8, 0, 2],\n [4, 0, -5, -9, 1, 1, -4, -3],\n [-6, -9, -2, 7, -15, 1, -12, 5],\n [-11, 4, 8, 7, 9, -9, 15, -6],\n [1, 13, 14, -9, -15, -9, 10, 8]]\nB =\n[[-5, -7, -4, -13, 15, -12, -12, 12],\n [9, -3, 7, 3, -6, -11, -9, 8],\n [0, -15, -4, -14, -9, -5, 15, 13],\n [14, -3, 15, -14, -9, -1, 9, -5],\n [-14, -9, -12, -5, 13, -14, 13, 0],\n [-9, -3, -11, 1, 5, -4, 12, 3],\n [-9, -10, -8, -3, -11, -14, -7, 14],\n [-5, 8, -10, 13, 10, -9, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9746", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -10, -5, 13, -5, -9, -14, 3],\n [-12, 10, -10, 1, 9, -11, 13, 12],\n [14, -9, -7, 9, -15, 15, -15, 3],\n [-10, 2, -6, 12, -5, -15, -15, -3],\n [-11, 4, -15, 4, -13, 2, -7, -2],\n [15, 11, 1, 7, -2, 13, -12, -11],\n [10, 5, 1, 6, 13, 9, -14, 7]]\nB =\n[[6, -11, -12, -12, -10, 4, 5],\n [-3, 6, -11, 7, 9, 10, 7],\n [-9, 4, -15, -2, 8, -12, 1],\n [5, -2, 0, -2, 0, 8, 4],\n [13, 12, -8, 8, -13, 9, 3],\n [-15, -14, -1, 6, 12, -6, 2],\n [6, -2, 1, 11, -3, -15, -11],\n [10, -3, 11, 9, -2, 8, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11300", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 6) when matrix A is multiplied by matrix B?\nA =\n[[-1, 3, 15, 1, 14, -13, 0, 15],\n [-2, -4, 12, -4, 13, -5, 1, -8],\n [1, 5, 9, 7, 4, -5, 9, 9],\n [-14, -6, -6, -5, 12, -10, -12, 8],\n [-4, -5, 7, 7, 11, 10, 9, -3],\n [-11, -10, -15, -10, 2, 6, -7, 8],\n [9, 13, -1, 10, -8, 3, 8, 0],\n [-10, 13, -10, 6, -13, -6, -15, 12]]\nB =\n[[-2, -12, 10, -4, -10, -5, -4, -6],\n [2, -9, -9, -5, -12, 4, 15, -15],\n [-3, 2, -7, 10, 8, 8, -7, 15],\n [7, 13, -7, -6, 12, -14, -10, -1],\n [-13, -5, 15, -10, -13, 8, 15, -5],\n [-1, -3, 4, 12, -6, -10, -1, 9],\n [2, 2, -9, -1, 2, 2, 4, -7],\n [8, -14, -8, 4, -14, -5, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-219", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-10, 14, -6, -11, -5, -15, -14, 8],\n [-15, 3, -14, 5, 4, 13, 7, 5],\n [8, -12, 15, -4, 6, 4, 2, -15],\n [14, 14, -15, 8, -2, -12, -11, -5],\n [8, 12, 15, 7, -3, 0, 8, -3],\n [8, 6, 10, -14, 0, -10, -2, -15],\n [1, -5, 3, -13, -5, 13, -11, 1],\n [10, 6, -9, -6, 12, 13, -5, -13]]\nB =\n[[4, -6, 11, -6, -2, -4, -1, -6],\n [14, -6, 10, 3, -15, 8, 13, 10],\n [-6, -14, 1, 14, 8, -9, -9, 4],\n [11, -7, 6, -14, -2, 1, -15, -7],\n [4, 5, 3, -12, 12, -8, -3, -12],\n [-7, -7, 6, 2, -4, -6, -5, -9],\n [-7, -10, 3, 0, 14, -1, -9, 0],\n [-11, 0, -15, 3, -11, -9, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "170", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-11, 13, 1, 10, 6, 14, -8],\n [13, 13, -15, -14, 14, -1, 4],\n [12, 2, -5, 9, -6, 8, 8],\n [-12, -11, -12, -3, 9, -3, 2],\n [13, 11, 8, -14, 0, -15, 10],\n [3, -7, 12, -13, 9, -9, 13],\n [-6, -15, -6, 5, -7, 12, -1],\n [-1, -13, 9, -11, -7, 10, 6]]\nB =\n[[-7, 7, -9, 8, 7, -4, 9],\n [11, -7, -10, 7, -14, 15, -7],\n [12, 13, 1, -15, 3, 12, -10],\n [-11, 15, -14, -7, 14, 13, 10],\n [-2, -12, -12, 5, -1, -8, 10],\n [-12, 0, 5, 12, -12, 14, 0],\n [6, -4, 0, 3, -8, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1486", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-11, 13, 15, 2, -6, -6, -9, 2],\n [-15, -9, 5, -15, -1, -12, 12, 13],\n [4, -6, 7, -7, -14, 12, -2, 0],\n [-15, -14, -9, 13, -6, 6, 4, -15],\n [-3, -15, -11, 0, -1, 1, 12, 15],\n [7, 0, -3, -5, 1, 1, -14, -3],\n [-2, -5, 12, -6, -13, 13, 11, 15],\n [1, -1, -7, -6, -8, 5, -3, 11]]\nB =\n[[2, -11, -10, 14, 15, 1, -5, 4],\n [0, -7, -14, -11, -15, -12, -12, 6],\n [10, 9, -13, -7, 6, 7, -4, -6],\n [-14, -5, -6, 14, 6, -10, 2, -14],\n [14, -14, -6, 0, -4, -15, 5, -8],\n [0, 2, -3, -1, 5, -4, -8, -6],\n [-2, -11, 2, 3, -1, -10, 11, -5],\n [5, -5, 4, 4, 5, 2, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4620", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, -14, 10, 14, -7, -2, 3],\n [15, -6, 7, -12, 13, 13, -10],\n [-2, -12, 10, -1, 0, -9, 1],\n [3, 13, 3, 1, -10, 15, 13],\n [-5, 0, 14, 9, -8, -5, -9],\n [10, 8, 6, 9, 3, 15, 10],\n [-6, -7, -12, 7, -1, -3, 9],\n [-14, -14, 0, -7, 12, -3, -13]]\nB =\n[[-7, -3, 15, 5, 6, -14, -8, 11],\n [-7, 0, -14, -10, 6, -8, 10, 12],\n [-11, -7, -15, -7, -6, 7, -12, -13],\n [14, -6, -1, -5, -2, -10, -4, -3],\n [1, 0, -13, -14, -5, 13, -7, -13],\n [13, 2, 4, -1, -2, -14, 1, 6],\n [15, 10, -8, -6, 10, 2, 14, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-950", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[15, 13, 3, -8, 12, -8, 15],\n [-13, -13, -4, 15, 6, 1, -12],\n [1, -2, 3, -7, 14, 14, 5],\n [-4, -11, -5, 4, -13, 5, -1],\n [-2, -5, 4, -8, -12, 11, -4],\n [-8, -10, -1, 14, -4, 0, 0],\n [11, 5, 4, 4, 12, -12, -5]]\nB =\n[[-3, 13, -7, -12, -4, -7, -3, 0],\n [10, -10, -6, -3, -9, 12, 10, 3],\n [8, 3, 1, -3, -3, 10, 12, 5],\n [-14, -6, 14, 6, -3, 10, -7, -15],\n [-2, 13, 0, 4, -1, -15, 1, 8],\n [14, 14, -3, 14, 11, -1, 0, 0],\n [-14, 1, -5, -8, 4, -13, 13, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "472", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 0, -2, 0, 11, 5, 1],\n [15, 14, -5, 1, 3, 6, -15],\n [14, 11, -4, -1, 2, 15, 12],\n [14, 7, -2, 14, -15, -3, 14],\n [-1, -9, -1, 4, -6, -2, -10],\n [-2, 8, 9, 6, -4, -5, 13],\n [15, 14, 9, 4, 6, 8, 9],\n [3, -14, 6, 4, -15, -8, 9]]\nB =\n[[-2, -7, -14, 9, 7, -11, 7, 13],\n [9, -8, 0, 6, 0, -3, 4, 13],\n [-1, -15, 6, -13, -10, 6, -2, -12],\n [2, -1, -7, 2, -13, -6, 1, -9],\n [-1, -15, 11, 9, 11, -5, 1, -11],\n [-9, 3, 9, 8, 13, -1, -13, -1],\n [-11, 7, -4, 14, 4, -11, -13, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1176", "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, -7, -9, 10, -14, 7, 7, 11],\n [5, 0, -7, -3, 12, 11, 3, 4],\n [1, -10, -12, -15, 2, 15, 3, -7],\n [-3, -8, 7, -3, -1, -5, -4, -2],\n [-12, -15, 8, -12, 3, -7, -6, -12],\n [4, 14, -7, -3, -4, -5, -4, 14],\n [2, 14, -4, 0, -11, 15, 4, 9],\n [-4, 5, 9, -5, -7, 14, 2, 14]]\nB =\n[[15, 9, -13, 4, 1, -2, -15, 1],\n [9, 11, -8, -11, -11, -7, -13, 3],\n [7, -7, 6, 14, 2, 0, -15, -14],\n [-2, -2, -15, 10, 10, 9, 0, -1],\n [10, -1, -4, 0, -2, 13, 8, -1],\n [7, -1, 3, -8, -14, -14, 11, -6],\n [-13, 7, 1, -8, 12, 7, -12, -2],\n [15, 5, -6, 13, -15, -12, 15, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12509", "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, 1, -9, 7, 4, -1],\n [-3, 12, -14, 12, 3, 8, -3],\n [8, -5, 11, 6, -1, -6, -7],\n [11, 12, -7, 4, 12, -15, 1],\n [15, -4, -6, 15, -11, 14, 13],\n [2, -1, -10, -9, 1, -10, -8],\n [-4, 5, -2, -4, 7, -6, 6]]\nB =\n[[4, -1, 15, -9, 10, -7, -6, -6],\n [0, 13, -9, 12, 14, -11, 7, -13],\n [2, -5, -1, 5, 4, -11, 8, -4],\n [-12, -1, -7, -9, -6, 13, 12, 7],\n [15, -3, 13, -8, -4, 6, 8, 3],\n [10, 10, 14, -15, 0, 6, 1, 9],\n [14, 2, -5, 2, -9, 2, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6601", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 14, -9, 7, 6, -6, -5, 9],\n [-3, -7, 15, -9, -7, -3, 10, -13],\n [-13, -15, 5, 15, 4, -14, 9, -13],\n [-1, 8, -10, 14, -3, 5, -15, 4],\n [3, -15, 12, 15, 5, 6, -14, -1],\n [-2, 3, -5, 14, -1, -10, 4, -7],\n [-11, 4, -14, -10, 10, 2, 12, 13]]\nB =\n[[7, 3, -7, 11, 5, 8, 11, -10],\n [-2, 12, 10, 8, 13, -3, -5, -4],\n [3, 3, 5, 11, 10, 3, 8, 10],\n [-3, 12, -2, 8, 2, -4, -12, -6],\n [13, 1, -12, -4, -3, 13, 11, 13],\n [-12, -6, 9, 15, -13, -1, -14, 9],\n [9, 1, -10, 10, -8, -13, 11, 9],\n [2, 6, -15, 13, 0, -9, -13, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1027", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, -7, -11, 3, -1, -8, -10],\n [2, 3, 8, -1, 10, -9, -6],\n [-10, -2, 1, -7, 3, 14, -11],\n [7, 15, -9, 3, 15, 4, 10],\n [-9, 8, -14, 9, 7, 0, -3],\n [-8, -10, -10, -7, -12, 11, -5],\n [-11, 9, 1, 4, -9, 11, -1]]\nB =\n[[9, -1, -2, -3, -5, 12, -3, 10],\n [6, 12, 8, 13, -7, -6, -12, 1],\n [-2, 8, 2, -5, 0, -15, 13, -9],\n [12, -6, -7, 11, 15, 12, 12, 9],\n [-13, 6, 7, -2, 10, 9, -1, -14],\n [8, -2, 0, -9, -12, 2, 8, 11],\n [-11, -10, 14, 11, -9, 15, -1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-283", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-15, 8, -12, 13, 9, -15, -5, 2],\n [-2, 6, -5, -6, 11, 14, 1, -12],\n [8, -1, 10, 0, 5, -3, -7, -5],\n [-5, -10, -15, 6, -10, -3, 6, 8],\n [15, 6, -11, -1, 11, 2, 4, -2],\n [-1, 10, -11, 10, -12, -14, -9, -6],\n [0, -6, 2, 1, 14, 5, 12, -3]]\nB =\n[[-15, -15, -1, -15, -10, 9, 10],\n [-3, 11, 12, -15, -11, 15, -7],\n [14, 9, 1, 0, -8, 1, -1],\n [8, -15, -4, -11, 8, -10, 9],\n [-15, 9, -15, -6, -6, -13, 1],\n [3, 12, -5, 13, 2, -14, -7],\n [8, 1, 12, -2, -12, 13, 1],\n [1, -4, 12, 4, 2, -13, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8491", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[9, 2, -12, 1, 2, -11, -2, -6],\n [-1, -15, 0, -5, 7, 4, -10, 8],\n [13, 6, 0, 14, -14, -15, 8, 8],\n [-7, 6, -4, 1, 14, 9, 12, 13],\n [-1, 14, 3, 11, 6, -6, 13, 10],\n [15, 11, -4, -2, 15, -7, 11, -3],\n [-13, 5, 13, -2, 5, -6, 0, -9],\n [-12, 11, 4, 7, 9, 15, -5, 0]]\nB =\n[[4, -12, 6, 6, 7, 15, 1, -3],\n [-5, 14, -13, -7, -10, 6, 5, -5],\n [0, 3, 11, -11, -2, 1, -13, -12],\n [0, 0, 5, 10, 9, -12, 3, 10],\n [1, -3, 10, 6, 7, 10, 15, 8],\n [12, -15, -4, -12, -5, -11, -14, 1],\n [-8, -10, 5, 13, -7, -3, -5, 13],\n [0, 0, 11, -14, -6, -4, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[14, -6, -3, 9, 1, -9, 8, -13],\n [14, 4, -3, 3, -9, -7, 3, -3],\n [6, -8, 6, 2, 13, 7, -14, 2],\n [2, -5, 15, -15, -2, 0, -5, -15],\n [14, -9, 15, 13, 0, 14, -2, -1],\n [-2, 12, 5, -5, 0, 3, 1, 11],\n [10, -10, -5, 1, -7, 2, 1, 15]]\nB =\n[[-4, 7, 6, 6, 14, -11, -5],\n [-12, 11, -12, -13, 10, 8, 7],\n [9, 1, -9, 10, -12, 7, -3],\n [-4, -15, 5, 3, 5, 4, 2],\n [-5, 4, -13, 13, 1, -4, -6],\n [-8, -1, -11, -12, 10, 12, 5],\n [4, 3, 5, -12, -1, 1, -4],\n [-13, -6, -1, -6, 8, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "736", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-15, -13, 5, 10, 15, 11, -4],\n [-15, -13, -13, -11, 3, 13, 9],\n [-15, -12, 13, 13, 10, 10, -12],\n [1, -2, 2, 11, -15, 6, 0],\n [-13, 7, 5, -7, 7, -12, 5],\n [-11, -5, 15, 5, 10, -7, 10],\n [-13, -10, 8, -5, -7, 13, -1]]\nB =\n[[7, 12, -13, -15, 4, 13, 6],\n [3, -2, 1, 6, -2, 1, 9],\n [11, -2, -4, 0, -15, -3, -10],\n [1, -4, 7, 3, -10, -9, -15],\n [-15, 13, -11, -10, 15, 0, 15],\n [9, 0, -2, -15, -3, 4, -6],\n [8, -6, -7, 15, -3, -13, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3385", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 4, -14, 1, 12, 3, 7, -3],\n [-3, -15, -14, -15, 8, -11, 8, -13],\n [13, 12, -9, 8, 15, 6, -3, 13],\n [7, 14, 12, 2, 8, 5, -9, -15],\n [-11, 1, 12, 13, -8, -1, 4, -12],\n [-14, -11, -15, 9, -11, -10, -14, 10],\n [10, -15, -12, -9, 6, 10, -15, -15],\n [-8, 4, 0, 5, -3, 7, 8, 15]]\nB =\n[[10, 7, 2, 14, 15, 4, -6, -4],\n [-15, -6, -7, -13, 12, 3, 10, -7],\n [-6, 3, 0, 8, 2, -2, 13, -13],\n [-14, -15, 2, 8, -7, -3, -14, -9],\n [0, 15, 5, 3, 9, -1, 6, -5],\n [-15, 5, -9, 4, -8, -6, -11, -7],\n [9, 9, -15, -14, 3, -2, 4, -6],\n [-7, -6, 13, -10, 1, 12, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-389", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, 14, 4, -13, 7, 3, 2, 10],\n [8, -12, -8, 1, 15, -11, -3, 9],\n [-15, 11, -3, -12, 6, 10, 8, -2],\n [-13, -11, -9, -15, 15, 7, 13, -4],\n [-5, 8, -8, 9, -10, 12, 6, -14],\n [3, 4, 4, 8, -2, -15, -6, 0],\n [14, -12, 11, 12, 13, -5, 0, 11],\n [4, -15, 0, 3, 5, 6, -7, -7]]\nB =\n[[-7, 11, 1, -4, 9, -3, -8, 0],\n [2, 13, 11, -15, -15, -4, -10, -7],\n [7, -11, 11, 0, 2, 1, 2, -15],\n [3, 6, 13, -8, -13, 10, 9, 10],\n [-11, 7, -8, 3, 2, 2, 5, 15],\n [-15, -1, 2, 13, 9, -9, 0, 15],\n [0, -1, -10, -7, -9, -2, -5, 5],\n [15, 0, 9, -10, 6, 11, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "719", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[13, 0, -4, 1, -11, 11, 9],\n [-3, -8, 8, -11, -4, -7, -13],\n [-13, -15, 9, 6, 2, 8, -4],\n [-7, -7, 2, 2, 13, -9, 11],\n [-12, -3, 1, 8, -14, -2, -13],\n [-11, -2, -13, 7, -9, 14, 2],\n [-3, 13, 7, 11, 6, -6, 9],\n [-3, 0, -7, -14, 7, -11, 13]]\nB =\n[[6, 1, 7, 6, -12, 1, -7, 4],\n [-14, 8, 2, 5, 11, 6, -5, -3],\n [-8, 11, -15, 1, -4, -12, 5, -3],\n [15, 13, -7, 11, 14, -9, 7, 8],\n [15, -11, -11, 1, 14, -7, -10, 9],\n [3, 0, 5, -14, -6, 0, -11, -1],\n [-3, -3, -3, -1, -2, -8, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-283", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -12, 10, -6, 15, -15, 13, -11],\n [-3, -15, 7, -8, -13, -13, -9, -12],\n [-13, -1, -8, -13, 13, 14, -9, 2],\n [-5, -5, 1, 12, -10, -8, -15, 13],\n [-6, 12, 9, 15, 3, -13, -12, -5],\n [-1, -15, -7, -5, 3, -3, 10, 0],\n [-12, -15, 4, -3, -15, -11, -11, -2]]\nB =\n[[11, 7, -2, -8, -12, -9, 4],\n [3, -1, 6, -12, 14, 3, 15],\n [15, -7, 5, -3, -2, 7, 12],\n [-2, 6, -6, 0, 15, -11, 7],\n [11, -10, 10, -14, -3, 13, -3],\n [3, 2, 12, 3, -15, -8, 6],\n [0, 13, -14, -8, -10, 0, 7],\n [-5, 1, 7, 3, -5, 12, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-622", "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, -12, -5, -8, -7, 10, -14, 0],\n [15, -10, 5, 5, 10, 11, 3, 12],\n [-8, -2, 8, 0, -4, -11, 8, 10],\n [15, 8, 3, 2, -7, -14, 9, 4],\n [-4, 13, -14, -6, -15, -12, 9, -4],\n [-7, -12, -7, 15, 12, -10, -15, -6],\n [13, -2, 6, 9, 13, 2, -10, 2]]\nB =\n[[4, 0, -1, 0, -8, -3, 7, -5],\n [12, 13, 9, -9, 1, 2, 6, 7],\n [3, 9, -3, -1, 7, 14, 6, 13],\n [6, -15, 13, 0, -11, 10, -13, 7],\n [-6, 3, -11, -9, -2, -13, -3, -3],\n [-6, -14, -10, -8, -12, 9, -4, 12],\n [-1, -8, -9, -2, 7, 3, -2, 6],\n [-3, 13, 5, -15, 11, 3, 13, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8812", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 8) of the result:\nA =\n[[-15, -12, -6, -13, 11, 4, -7, -13],\n [12, -10, -10, 7, 9, -4, 7, 14],\n [-15, 0, 15, 8, -11, -7, -6, -3],\n [-1, -4, -11, -11, 15, 12, 12, 14],\n [2, -4, 11, -13, 10, 9, -9, 1],\n [3, 12, 2, -15, 9, 8, 15, -11],\n [11, 12, -14, -15, -9, 13, -5, -5],\n [15, 2, 1, -14, -9, -9, -6, 6]]\nB =\n[[5, -13, 14, -4, -13, -5, 13, -4],\n [9, -12, 9, 0, 4, 2, 15, -12],\n [6, -10, 5, 15, -1, -15, -13, -11],\n [6, 14, 1, 14, -2, -7, 14, -13],\n [10, -3, -13, -5, -14, 8, -1, -3],\n [3, 6, 0, 2, -9, -3, -12, -7],\n [14, -6, -7, -9, -1, 12, -8, 3],\n [-5, -11, -14, -6, 0, 7, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 2) of the product of the following matrices:\nA =\n[[-7, -5, -5, 7, 10, 15, 0, -6],\n [13, 8, -4, 9, -10, 12, -4, -6],\n [2, 2, -12, 15, -7, -9, 2, -8],\n [-5, -9, -7, -8, -13, 1, -14, -1],\n [-2, 13, 2, 0, 4, 6, -12, 9],\n [4, -10, -10, 10, -5, 10, 1, 8],\n [12, -13, 15, -3, 6, -13, 0, -1]]\nB =\n[[-5, 2, -1, -11, 0, 14, 0, 1],\n [-7, 11, 7, -13, 4, -3, 6, -13],\n [12, -9, 13, -10, -7, -4, -1, 5],\n [4, -13, -6, -15, 3, 3, 7, 7],\n [-3, 15, -4, -15, 3, 13, 8, 0],\n [9, 7, 7, 12, -1, 0, -5, 8],\n [-10, -5, -13, -1, -15, -9, -15, 1],\n [-7, 13, 10, 7, -3, -5, 13, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, -15, -9, -4, 15, 6, 4, 7],\n [3, 1, -12, -13, -15, 2, 11, 5],\n [-1, -8, -15, 4, -2, -12, -11, 7],\n [-3, 12, 8, -1, -10, -15, 7, 3],\n [15, -3, 13, 13, -10, -1, 0, 8],\n [7, 0, -6, 6, -7, -7, 1, 1],\n [1, 8, -4, -3, 14, -4, -2, -6]]\nB =\n[[7, 3, 13, -14, -12, 3, -9],\n [10, -1, -1, 8, -10, -13, -10],\n [15, 0, -14, 15, 12, -9, 14],\n [-5, 10, 14, -9, -12, 13, 8],\n [4, -9, -12, 13, -4, -11, 7],\n [13, 14, 14, 13, 10, 3, 10],\n [-11, 11, 14, 3, 5, 14, -13],\n [11, 10, -5, -9, 13, 1, 9]]\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[[-7, 5, -7, -6, -3, -1, 6, 15],\n [-11, 13, -13, 11, 11, -8, 4, -6],\n [-3, 15, 13, -13, 13, 6, -8, 13],\n [15, -7, 14, 6, 5, -4, -5, -14],\n [2, -7, -14, -14, -13, 0, 3, -12],\n [7, 9, 2, 4, 9, 14, 2, -6],\n [-5, 13, 1, 10, 8, 9, 7, 8],\n [4, 0, 4, -3, -14, 8, 15, 11]]\nB =\n[[-14, 9, -2, -12, 1, -3, -12],\n [-13, -4, 6, 7, -8, -14, -10],\n [15, 6, -6, -4, 5, -6, -6],\n [7, -13, 4, -6, 13, -7, 4],\n [3, -2, -14, -11, 4, 13, 13],\n [-8, -9, -10, -5, -4, 2, 3],\n [-6, 9, 13, 9, 15, 5, -2],\n [-13, 2, 8, -1, -10, -6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9981", "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, -9, 1, -15, 10, 2, 10, -1],\n [3, 12, -15, 14, -11, -1, 15, -13],\n [-15, -8, -4, 11, 6, 9, 3, 9],\n [9, 15, -4, 15, -3, 12, -15, 3],\n [-10, -8, -12, -11, 9, 6, 12, -9],\n [7, -12, 4, -12, 14, -1, 11, 5],\n [-11, 8, -7, -14, 11, -9, 1, 0]]\nB =\n[[1, 4, 10, 7, -14, -5, -14, -15],\n [10, -14, 13, 15, 7, -7, 6, 10],\n [-14, 12, -1, -6, -1, -6, 13, 9],\n [7, 11, 1, 12, -7, 2, -12, -7],\n [0, -12, 0, 3, -15, 7, 15, -10],\n [-6, 0, -12, 6, 6, -3, 0, 4],\n [14, 13, -10, 10, -5, 8, 13, -13],\n [4, -6, 13, 12, 14, 15, -15, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11812", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 6) of the product matrix AB given:\nA =\n[[-5, 10, 10, -4, -2, 9, -8],\n [-5, -12, 12, -9, -6, 3, 9],\n [10, -12, -14, 10, 5, 2, -2],\n [10, 0, 6, -5, -6, 1, -2],\n [6, -12, 3, -14, -9, -7, 12],\n [3, 0, 6, 9, 0, 2, 7],\n [5, 5, -5, -9, -7, -12, 9],\n [15, 14, -3, 11, 10, 9, 13]]\nB =\n[[-12, 3, -14, -7, -4, -14, -10],\n [-11, 14, -11, 4, 6, -11, 11],\n [-12, 13, -7, 13, 6, 11, -6],\n [0, -6, 13, -6, 13, 3, -6],\n [-10, 14, 1, -11, 10, -10, 15],\n [11, 8, 11, 15, -1, 9, 11],\n [3, 2, 13, -12, -8, 11, 0]]\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[[8, 3, 4, -13, -6, -14, -12, -10],\n [-5, -2, 0, 11, 5, 3, -14, 9],\n [15, 1, -7, 1, -1, 14, -9, 6],\n [7, 15, 3, 14, -13, 13, 11, -15],\n [-12, 12, 2, 10, -8, 3, 7, 7],\n [12, 9, -10, -15, -8, -15, 3, -5],\n [5, 8, 9, -1, 7, 9, -5, 3],\n [13, 5, -6, 8, -4, -15, 8, -9]]\nB =\n[[1, 13, 13, 10, 12, -6, 15],\n [12, -10, 1, 2, -11, 2, 14],\n [10, 1, 6, 0, -8, 8, -3],\n [13, 8, 0, -5, -10, 11, -13],\n [-15, 2, -11, -3, -6, -11, 10],\n [-2, 1, -15, 15, 9, -14, -9],\n [-6, 4, -9, 8, 0, -11, 13],\n [12, -4, 1, 0, 4, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9315", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 10, -1, -4, 5, -6, 13, 10],\n [13, 6, -14, -9, -3, -13, -1, -15],\n [10, -13, 9, -6, 11, 11, -1, 6],\n [11, -10, 4, -1, 8, 5, -9, 9],\n [13, 13, 14, 5, 11, 14, -11, 14],\n [-12, 6, 2, -13, 1, 2, 2, 8],\n [8, -14, -3, 14, 6, -1, -11, -13],\n [-11, -11, -11, -13, 15, -13, 4, 7]]\nB =\n[[12, 12, 12, 14, 2, 10, 4, -12],\n [-15, 10, 0, -8, 1, -8, -9, 9],\n [-8, 5, 8, 14, 15, 11, 10, -4],\n [0, 15, -4, 3, 15, -6, -9, -4],\n [4, -11, 0, -7, -9, 4, 6, 10],\n [-2, -5, -9, 13, -6, 13, -7, -12],\n [0, -6, 3, 8, 15, 1, -7, -3],\n [-15, -14, -3, 8, -7, -9, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "617", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, -10, 2, 3, -5, 13, -4, 13],\n [10, -6, -3, -4, 15, 5, -6, 4],\n [2, -12, 12, 8, -11, -11, 13, 12],\n [-4, 10, -13, 13, -8, 6, -14, 2],\n [-7, -3, -9, -6, -7, 14, 6, -1],\n [-11, -4, -15, -4, 6, -10, 3, 3],\n [0, 15, 3, -13, 7, -6, 11, 2]]\nB =\n[[10, -3, 10, 2, -13, 10, 12, 7],\n [-13, 7, 9, 11, 10, -4, 15, 11],\n [4, -9, 9, 14, 8, -8, -7, -2],\n [-11, 14, 5, 3, 5, 0, 8, -4],\n [5, -12, -8, -9, -1, 14, 14, -10],\n [-11, -2, 5, -3, -6, 2, 13, 15],\n [-12, -8, 8, -5, 1, 2, 5, 9],\n [10, -5, 0, -4, -3, 11, 0, 7]]\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[[10, 5, -15, 15, 0, -1, -10, -4],\n [-8, -9, -14, -4, 5, -2, 0, -5],\n [4, -7, -6, 1, -4, -10, 3, -5],\n [-7, 5, 13, -10, 11, 9, 9, 8],\n [9, 0, 4, 0, -10, -11, 5, -12],\n [-14, 12, -10, -7, 12, 1, -2, -9],\n [6, 3, -15, 13, 4, 15, 14, 9],\n [-1, 2, -13, 2, 14, -14, -6, -5]]\nB =\n[[11, 8, -13, -9, -8, 3, 2, -3],\n [-3, 8, 3, 7, -4, 1, 14, 15],\n [12, 6, -4, 12, -3, 9, -4, 3],\n [-2, -9, -3, -10, 8, 3, 3, -12],\n [3, -7, 0, 11, -12, -10, -8, 11],\n [13, 8, 0, 15, -11, 5, 6, -6],\n [7, -3, 13, 10, -2, -9, 13, 4],\n [-10, -9, -11, 5, 2, 7, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1151", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[11, -15, -12, 3, -4, -1, -13],\n [7, 11, 12, 10, 4, 15, 12],\n [-8, -5, 0, -7, -13, -11, 4],\n [-2, 12, 10, -1, -10, 11, 10],\n [-12, -8, 3, 11, -11, -3, 0],\n [-15, -3, 15, 6, -5, 5, -8],\n [9, -8, 8, 12, -2, -3, -13],\n [-12, 15, 11, 4, -1, -1, 14]]\nB =\n[[11, 5, -3, -7, 12, 9, -6, 13],\n [-4, -2, -15, -2, -2, -8, 0, -2],\n [-15, 0, 2, -9, -1, 8, 1, 15],\n [3, 7, -3, -7, 8, 8, -1, 9],\n [10, -13, 8, -15, 0, -8, 13, 7],\n [-3, 15, -8, 1, 6, 7, -2, 11],\n [5, 14, 5, -9, 15, 11, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9526", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[3, -10, 7, -15, -4, 2, 0],\n [-4, 4, -3, -8, 11, 13, 14],\n [10, 6, -15, 10, 5, -9, -1],\n [13, 6, -3, -3, 12, -7, 8],\n [-1, -12, -3, 11, -4, -11, -9],\n [-8, -11, -7, -2, 10, -4, -12],\n [4, 13, -8, 1, -8, 5, 13]]\nB =\n[[14, 11, -15, 4, -14, -12, 8],\n [5, -15, -9, -15, -7, -13, -4],\n [3, -1, 15, 6, 0, -6, 6],\n [13, 11, 11, -10, 13, 1, 5],\n [12, 6, 8, 13, 1, 5, 3],\n [2, -5, 8, -9, -6, -9, -11],\n [-4, 0, 13, 9, 5, 2, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[4, -1, -11, -3, 3, -4, 14, 7],\n [5, -11, -10, -9, 10, -6, 0, -8],\n [-7, 11, -12, 5, 15, 5, -8, 9],\n [-9, -1, 5, -13, 1, -5, -7, -11],\n [9, -6, -1, 12, 13, -2, -12, 5],\n [4, -14, -4, -15, 8, 4, -11, -10],\n [14, 8, -5, -8, -9, -12, -10, 0]]\nB =\n[[4, -1, -2, 7, -4, 13, -4],\n [0, -1, 13, -3, -5, 14, 1],\n [5, -1, -2, -6, -4, 0, -1],\n [-6, 15, -12, 11, 7, 13, -7],\n [5, 4, 15, -7, 5, 9, 8],\n [4, -5, -5, -9, 5, -6, -12],\n [-11, -11, -5, 15, -7, 12, 0],\n [-7, 6, 14, -12, 15, -14, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-13, 2, 5, -10, -5, 5, 2],\n [-4, -11, -7, 4, 12, 10, 2],\n [3, -13, -7, -12, 15, 1, 1],\n [15, 7, 7, -14, -7, -7, -11],\n [-1, -1, -13, 3, 12, -13, -10],\n [-12, 8, 15, -3, 11, -3, 11],\n [-5, -11, -15, -7, 1, 6, -15],\n [-13, -1, 10, 5, 15, 10, 7]]\nB =\n[[14, -6, -8, -4, 9, 6, -1],\n [11, -7, 8, 9, -6, 4, -7],\n [-1, 7, 5, 5, -15, -14, 10],\n [3, 14, -2, -8, -10, -4, 10],\n [11, 13, -1, -2, 5, 13, -15],\n [12, -5, 12, 9, -13, 3, 2],\n [4, 12, -14, 13, 9, 12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9311", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -8, 3, 6, -1, -6, 6, 13],\n [-15, -10, -3, -2, -13, -5, -13, 3],\n [-6, 11, -1, -5, -1, 10, 11, 8],\n [-3, -11, -12, -3, -7, 9, 1, -14],\n [8, -11, 0, -9, -15, 12, 10, -4],\n [5, -5, -4, 3, 10, -4, -4, -2],\n [-14, -14, 9, 13, -12, 4, 7, 10],\n [0, -6, -3, -14, -13, 3, -10, 3]]\nB =\n[[11, 5, 4, 3, -8, -2, -6, -13],\n [-10, 13, -1, 7, 7, 2, -2, 3],\n [12, 10, -6, -1, -12, 7, -14, -13],\n [-9, 7, 0, 15, -6, 3, 12, 1],\n [12, 3, -11, 7, 4, -3, -3, -5],\n [-5, 0, -1, 1, 6, 2, 12, 3],\n [-12, 6, 6, 7, -11, -9, -14, -15],\n [-4, -6, -8, -15, -4, -14, 11, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9600", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 6, 1, 10, -13, -9, -4],\n [-8, 4, -4, -13, 1, 12, -7],\n [-6, 6, -10, 9, -15, 6, -4],\n [-11, -3, 11, -1, 6, 14, -5],\n [-8, -11, -14, -4, 12, -14, 10],\n [0, 5, -13, -6, 3, -8, -9],\n [-15, -4, 13, 12, -11, 0, 9],\n [-12, 1, 8, 5, -14, 15, -4]]\nB =\n[[-15, 14, -4, -4, -4, 3, 9, 1],\n [4, 8, 8, 10, 12, -5, -3, 11],\n [-8, -6, -8, 4, -8, -7, -9, -2],\n [12, -14, 9, -5, -8, -3, 5, -1],\n [12, -13, 7, -2, 14, -1, -14, 13],\n [3, -4, 9, 4, -12, -13, -11, -13],\n [9, -1, 3, -14, -4, -11, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "675", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 5) of the result:\nA =\n[[-2, 12, 11, 6, -6, -13, -12, -10],\n [8, 15, 9, 6, 0, -9, -1, 14],\n [5, 14, 12, 15, 9, 4, 10, -5],\n [6, 5, -15, -11, -3, 5, -2, -7],\n [1, -1, 5, 15, -9, 11, 6, 6],\n [-4, 7, -10, 5, 0, 10, -11, -7],\n [-2, -8, -2, -4, 15, -6, 14, 4]]\nB =\n[[4, 10, 5, -3, 13, 3, -1, -8],\n [7, 5, -6, -13, 15, 5, -13, 10],\n [-11, 0, 1, -10, 10, 4, 4, 0],\n [8, -14, 4, -1, 2, -15, 10, 13],\n [13, 3, -4, -8, -10, -4, -9, 2],\n [6, -2, -8, 8, 4, 6, -2, -11],\n [-7, -8, -14, 12, 0, -3, -9, 0],\n [-9, 11, -2, -2, -4, -15, -15, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-364", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, 5, -1, -12, -9, 0, -13, -9],\n [13, 8, 6, -10, 0, 8, -8, 7],\n [6, -10, -6, 0, -5, -3, 13, -10],\n [8, -15, 5, 3, -4, 8, 11, -10],\n [14, 2, 15, -3, -9, 7, -3, 5],\n [-8, 14, 5, 1, -7, 4, -3, -14],\n [-12, 14, 13, 9, -14, -12, 2, -11],\n [3, -6, 2, 14, 9, 5, -6, -11]]\nB =\n[[1, 6, -3, 7, 1, -7, 8, -4],\n [-2, -2, -8, 7, -11, 3, 15, 12],\n [-2, -7, 14, -9, 11, 10, 10, -8],\n [-2, 6, 12, -2, -5, -2, 5, 15],\n [-8, -13, 12, 13, 13, 7, 2, -13],\n [15, -3, -4, -1, 2, -11, -9, -5],\n [10, 11, -5, 11, -1, -6, -1, 15],\n [15, -3, -2, 1, -3, -6, 9, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-15, 14, -1, 0, -4, 10, 8, -10],\n [-10, -4, 9, -1, -12, 8, -12, 14],\n [-14, 11, 15, 8, -4, -9, 4, -7],\n [15, -7, -8, -2, -15, 7, 5, 7],\n [-4, 9, -14, -3, 14, 11, -12, 4],\n [2, 3, 0, 11, -2, 14, 13, -8],\n [-4, -7, -10, 10, 2, -14, 7, -8],\n [8, -2, -10, -6, -8, 14, 15, 1]]\nB =\n[[9, 13, -4, 1, -3, 3, -4, 0],\n [9, 15, 11, -11, 9, 0, 9, -10],\n [-5, 1, 10, 7, -2, -10, 9, 7],\n [14, 12, -5, -4, -3, -12, -9, -14],\n [-10, 15, -10, 2, 14, 4, -8, -8],\n [13, -8, -8, -15, -14, -4, -1, -12],\n [12, 9, -13, -2, 6, 7, -8, -3],\n [7, 3, 6, -11, 15, -3, 12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12457", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, -15, 0, 14, 13, 7, 8],\n [-14, -9, -10, -11, 13, -12, -14],\n [-6, 6, -11, 2, -6, 7, 6],\n [12, -1, 15, 11, -7, -5, 10],\n [5, 9, 9, 13, 1, 5, -7],\n [7, 0, -10, 6, -5, 7, 1],\n [-12, 13, -1, -15, 6, 14, 13],\n [4, -15, -7, -4, -12, 12, 6]]\nB =\n[[-3, -9, -8, 12, -3, -5, -7],\n [9, 8, 0, -6, -5, 15, -4],\n [12, 15, -2, 3, -4, 2, 5],\n [1, -13, -15, 13, 3, 13, -12],\n [7, 12, 0, 15, -4, 5, 5],\n [-3, 1, -8, -3, 4, 10, -11],\n [2, -1, -4, 13, 1, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10632", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-14, -10, 1, 0, 1, 9, 4],\n [-7, 11, -11, 7, -15, -10, 8],\n [-2, 1, 9, 3, -15, -15, -3],\n [-2, 11, -10, 11, -10, -15, 14],\n [-2, -13, 7, -6, 3, 3, 3],\n [12, 7, -12, 4, 3, -6, 11],\n [9, -14, -12, 8, -10, 14, -9],\n [0, 13, -9, 2, 4, 10, 10]]\nB =\n[[6, 3, -7, 13, 4, -6, -3, 2],\n [0, 6, 1, 6, -3, -4, -6, -15],\n [14, -8, 5, 6, 2, -14, 0, -4],\n [-7, -13, 6, 10, 5, 14, 12, -12],\n [10, -14, -8, -6, 0, 7, -5, 2],\n [6, -2, -8, 7, -1, 1, 5, 2],\n [-10, 7, 14, -2, 7, -13, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8898", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 8, 15, 12, 0, 0, -8],\n [-9, -10, -14, 6, -3, -4, -1],\n [11, -7, 15, -14, 1, 11, 13],\n [-11, -5, 6, 3, 8, -9, -14],\n [0, -4, 7, -1, 15, -15, 9],\n [-3, 7, -10, -3, 2, -13, -15],\n [-1, 10, -3, -11, 9, -3, 6],\n [-11, 12, 3, 5, 8, 12, 2]]\nB =\n[[5, 6, -6, 8, -8, -1, 5, 9],\n [4, 12, 9, 11, 7, 6, -12, -14],\n [8, -10, 12, 15, -13, -9, -6, 7],\n [-10, 0, -14, 8, 1, -3, -15, -10],\n [-11, 9, -3, 12, 7, 2, 13, -4],\n [-9, -1, -13, 0, -15, 11, 0, 8],\n [14, -4, 3, 11, -8, 7, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1371", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-14, 13, 14, 14, 1, -9, -3],\n [-15, -10, -3, -5, -6, 0, 11],\n [10, 8, 7, 4, 1, 1, -12],\n [-11, 12, 7, -2, 4, -6, -2],\n [12, -15, -5, 10, 7, 2, 0],\n [13, 11, 2, -8, 12, -6, 10],\n [-6, -11, -6, 2, 5, 8, -10],\n [-13, -8, 15, 14, -7, -11, 13]]\nB =\n[[-14, -14, -9, 1, -6, -4, -14, -6],\n [4, -15, -12, -3, -4, -5, 13, -6],\n [-1, -11, 9, 1, 12, -11, -14, -7],\n [-10, 2, -2, 3, -2, -8, 1, 12],\n [-13, 13, -6, 1, 11, -5, -8, -15],\n [-3, 5, -12, -9, -2, -11, 8, 12],\n [14, -5, 1, -11, 4, -13, -11, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "587", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 3, 0, -8, -3, 0, -13],\n [-15, -7, 15, -7, 6, 10, 1],\n [8, -14, -7, 14, 8, 3, -3],\n [-11, -7, -3, -15, 9, -1, -12],\n [-12, 15, 4, -6, 12, 9, 14],\n [-10, 11, 8, -4, 14, 4, 0],\n [-13, -2, -15, -6, 15, -1, -9]]\nB =\n[[-12, -2, 8, 0, -2, -13, 1, 5],\n [-2, 2, -13, 14, 6, 3, -13, -4],\n [6, -11, -6, -7, -15, -3, -13, 3],\n [-5, 0, -10, 8, -13, 3, -10, -8],\n [6, -3, -4, 14, -6, -13, -12, -15],\n [-3, 8, -12, 6, -5, 3, -5, -4],\n [-5, -10, -4, 11, -7, 9, -6, -13]]\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 sum of absolute values of all entries of the result:\nA =\n[[-13, 4, 12, 7, 0, -13, -6, 8],\n [-5, -8, -10, 4, -5, 12, 11, 5],\n [-4, 0, 2, -3, 6, -13, -1, 6],\n [12, 5, -2, 2, 15, 12, 13, -2],\n [-11, 5, -2, 9, 11, -8, 12, 12],\n [7, 15, -1, 12, 13, -1, 14, 3],\n [10, 4, -10, 3, 11, 9, -8, -10],\n [4, 7, 13, -1, 11, -13, -6, -1]]\nB =\n[[8, 0, 1, 3, -5, 0, -11, -11],\n [10, -2, 2, 10, -8, -11, -9, 15],\n [0, 7, -2, -11, 8, -7, -12, -12],\n [0, 8, 1, -1, -12, -10, 0, 13],\n [-12, -10, -11, 0, 14, 9, 0, -6],\n [-7, -12, 13, -2, -12, -4, 8, -6],\n [15, -12, 2, -3, -3, -2, 15, 2],\n [-15, 5, 0, -1, 6, 9, -11, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10571", "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, -13, 0, -4, -12, -15, -12],\n [-15, 15, 5, 11, 11, -8, 8, -11],\n [14, 10, -14, -4, 6, 1, -9, -5],\n [-12, -11, -10, -5, -15, 9, -6, 4],\n [8, 5, -5, 8, 15, 1, -8, 11],\n [-3, 11, 4, 2, 11, 6, 0, -14],\n [-11, 2, -13, 11, 6, 1, 0, -10],\n [3, -9, 2, -2, -10, -8, -1, -1]]\nB =\n[[-1, 0, -15, -5, 11, 13, 9, -11],\n [-11, 13, 12, 5, -10, -14, -10, -2],\n [-5, -12, 8, 13, 11, 9, -7, 8],\n [-13, 10, 0, -5, 11, -12, -15, 9],\n [5, 6, 0, 3, 0, -5, 10, -8],\n [15, 7, -15, 10, 12, 5, 10, -7],\n [12, 11, -4, 6, -8, 10, 1, -6],\n [11, -9, 3, 9, -10, 5, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11886", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, 12, 3, 2, -1, -14, -2],\n [5, -6, 12, 0, -9, -8, -6],\n [-1, -8, -3, -4, -8, -1, 10],\n [-4, -5, 3, -2, 11, 2, -3],\n [-12, 15, 1, 3, 11, -7, 7],\n [-9, -15, -9, 10, -9, 4, -9],\n [-8, 0, -13, -3, -6, 2, -9]]\nB =\n[[5, 5, 14, -11, 15, 7, 9, 11],\n [8, 6, -9, 9, 14, 11, 6, 1],\n [-12, 8, 7, 0, 3, -6, -13, 11],\n [-13, 12, 15, 1, 15, -6, 1, 6],\n [14, 14, 1, 5, -12, 5, 7, -10],\n [-4, 9, 6, 9, 4, 1, 1, -6],\n [-9, 13, 0, 13, -3, -13, -14, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1607", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[14, -10, -10, -3, -9, -11, 8],\n [-9, -14, 15, 1, -3, 14, 9],\n [5, 12, 11, 5, 12, 0, 10],\n [4, -14, -11, 2, 12, -9, -5],\n [9, 9, -5, 6, 1, 0, -3],\n [6, -11, 4, 0, 12, 6, 6],\n [0, 0, -2, -10, -14, 15, -2],\n [0, 7, 14, 4, -3, -1, -4]]\nB =\n[[-7, 10, 2, 5, -2, 4, 9],\n [-12, -8, -8, 6, 6, 0, 11],\n [8, 12, 13, 12, -6, 9, 15],\n [5, 11, 1, -15, 15, 2, -6],\n [10, 5, -12, -15, -12, -12, 10],\n [-12, 1, -7, 14, 3, -3, -12],\n [-11, 13, -3, 7, 0, 6, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8620", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-8, 0, 14, -15, 7, 12, -10],\n [-5, 0, -11, 0, -9, 3, -15],\n [-7, 2, -3, 10, -1, -13, 8],\n [12, -6, -7, -3, 0, -13, 6],\n [7, -1, 1, -2, -9, 4, 0],\n [5, -8, -12, 15, 4, 8, -1],\n [-11, -3, -10, 12, 11, 14, -11],\n [1, -9, -10, -14, -5, -9, 6]]\nB =\n[[5, -8, -11, 11, 2, 6, 0],\n [-2, -4, 1, -11, -2, -10, -1],\n [-9, -2, 2, -15, -10, -13, -11],\n [-4, 15, -5, -3, 0, 15, 2],\n [15, 1, 1, 13, -5, 4, -6],\n [13, 0, -14, 1, 6, 14, 4],\n [-6, -3, -4, -1, -9, 11, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 10, 12, -3, -4, -4, 12, -14],\n [-11, 9, 9, -14, 7, 10, 14, 4],\n [-3, 13, -13, -5, 0, -15, 3, -5],\n [-7, -2, 15, -7, -9, 0, -13, 13],\n [3, -12, -9, 7, 12, -4, 14, 2],\n [12, 15, -11, 7, 7, 6, 10, -6],\n [-4, -8, 3, -1, -15, -13, 11, 2],\n [2, 14, 14, -14, -11, 13, -15, -6]]\nB =\n[[4, 14, -6, -11, 2, 5, 10],\n [-1, 4, -8, 1, 15, -4, 5],\n [14, 14, 11, -4, 10, -15, 10],\n [10, -12, -8, -15, 11, -1, 2],\n [-15, -5, 7, -14, -15, 15, -4],\n [0, 6, 6, -6, 2, -1, 1],\n [14, -6, -13, 10, 14, 5, 0],\n [-10, -13, -7, -5, 5, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3125", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 6, 12, 8, 11, 6, -12],\n [6, 8, -8, -3, -6, -14, -8],\n [-10, 0, 2, 1, -10, -3, 7],\n [-2, 14, 10, 5, 14, -6, 8],\n [-5, -3, -4, -7, -12, -9, 8],\n [13, 6, -14, -9, 13, -7, -11],\n [-1, 2, -12, 3, 4, 10, -9]]\nB =\n[[10, -8, 1, -3, 8, 5, 12],\n [7, -5, 11, -15, -14, 1, -11],\n [14, 14, -10, 10, 9, 8, -9],\n [12, 5, 14, -1, 3, 0, 9],\n [-3, -11, -13, -13, 3, -2, 0],\n [6, 1, 11, -12, -3, -8, 3],\n [-11, -14, -1, -14, -5, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-974", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -13, -11, -13, -10, -3, -6, 3],\n [-8, 2, -13, 8, 8, 1, -8, -6],\n [-14, -4, 7, -10, -14, 5, 7, 8],\n [-13, 1, 13, -9, 13, 5, -11, 7],\n [-15, -8, -4, -2, 0, -6, -1, 5],\n [8, 10, -1, -6, 5, 12, -9, 10],\n [-13, -14, -10, 5, -7, -6, -12, 11]]\nB =\n[[-13, -7, 8, 6, 1, -2, -6],\n [-3, -4, 11, -15, 12, 6, 13],\n [3, 3, -10, -3, 3, -3, 11],\n [10, 6, 5, -12, 8, -14, -1],\n [-4, 14, 11, -9, 4, 2, 15],\n [7, -3, 1, -12, 9, -2, 4],\n [12, -3, -13, 10, 10, 2, -2],\n [-1, -13, -15, 10, 8, 1, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1232", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -13, -3, -1, 2, -2, 5, 10],\n [-13, 3, -8, -12, -12, 3, -5, -15],\n [-8, -1, -15, -9, 5, 4, 4, 8],\n [-5, 11, 13, -2, 6, 0, -2, -4],\n [1, -2, -6, 8, 13, -2, 2, 6],\n [-7, 1, -10, -8, 10, -3, 2, -11],\n [-10, 5, 3, -12, -9, -12, 9, -5],\n [-4, -2, -3, 13, -6, 2, 0, -11]]\nB =\n[[-8, -2, -11, 10, 12, 8, -8, 9],\n [10, -10, 0, 12, -12, -4, -5, -13],\n [15, -4, 14, -11, -10, 3, 2, 0],\n [7, -5, -11, -7, 15, -13, 14, 15],\n [-8, -10, -12, -4, -4, 15, 9, 5],\n [0, 15, -6, 6, -2, 15, 15, -3],\n [-7, -9, -4, -11, 2, -12, -14, -13],\n [10, -4, -13, -12, -10, -4, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1839", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, -15, 1, 0, -7, 9, 5],\n [-7, 11, 7, -7, -4, 7, -7],\n [-1, -14, -5, -5, -8, 7, -10],\n [5, 4, -9, -13, -8, 2, 1],\n [-5, -14, 9, 5, 11, 8, 3],\n [-9, 15, 2, -8, -2, -9, 12],\n [5, 12, 11, -12, 1, -11, -4],\n [-7, 10, 4, -3, 9, 12, 2]]\nB =\n[[4, -7, -12, 5, 11, -8, -15],\n [1, 9, -7, 4, -3, -14, -3],\n [-7, 14, 4, -10, 12, -15, 12],\n [9, -11, 15, -13, -12, -15, -2],\n [-7, 14, 8, -12, 2, -2, 9],\n [-12, 9, -6, -13, 7, -9, -6],\n [-3, -12, 2, -5, 9, -12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9472", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 2, -8, 11, -6, -11, 7, -9],\n [-4, 9, -13, 10, -12, -6, -12, -1],\n [13, -6, 5, 14, 6, 0, -1, 3],\n [13, 4, 3, 2, 10, -4, 9, 0],\n [-15, 0, -14, 8, -1, -9, 12, -15],\n [-11, -6, 6, 5, -12, -2, -3, -15],\n [0, 7, -7, 6, 0, 3, -1, 10],\n [-2, 4, -6, 5, 15, -4, 12, -15]]\nB =\n[[5, 1, -7, 7, 3, 9, 2, 12],\n [-9, -7, 6, 10, 5, -4, -9, -2],\n [-1, -1, -10, 5, -2, -14, -8, 15],\n [-3, 7, -10, -11, -11, 9, -15, -7],\n [-10, 4, 10, 14, -9, -7, -11, -2],\n [-11, -8, -9, -3, -3, -8, -5, 12],\n [10, 2, 9, 3, -10, 6, -14, 12],\n [-3, 7, 9, 12, 10, -5, -15, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11576", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-14, 14, 1, -8, -14, -10, 15, 6],\n [-11, 0, -8, 3, 0, -3, 10, 15],\n [4, -9, 15, 0, 7, 0, 13, -4],\n [-2, 8, 2, 11, 12, 2, 0, 4],\n [0, -3, 10, 13, -7, 10, 12, -7],\n [-3, 13, -12, -7, -1, -2, 3, -4],\n [5, 10, 9, -10, -13, 10, 9, 6]]\nB =\n[[4, 0, 14, 4, 8, 7, 1, 0],\n [-10, -8, 3, 14, 9, 10, -14, -2],\n [6, -4, 1, 12, 11, -1, 2, 0],\n [-3, 5, 1, -8, -15, 13, 9, 10],\n [11, -13, 0, 12, -14, -1, -15, -7],\n [0, 15, -12, -4, -15, -15, -9, 2],\n [7, 12, 15, 7, -1, 10, 14, 9],\n [-3, 0, -9, 0, -3, -2, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4123", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 7) when matrix A is multiplied by matrix B?\nA =\n[[13, 8, 8, 4, -3, 8, 4, -1],\n [8, 5, -12, 6, -14, 12, 2, -14],\n [9, -1, 14, 10, 3, -1, 10, 4],\n [-6, 12, 8, 4, -5, 10, -6, 13],\n [7, -11, -7, 4, 3, -3, 2, 1],\n [11, -10, -6, -14, 8, -10, 12, 12],\n [5, -3, 2, -9, -14, 13, -2, -11],\n [2, -5, -6, -5, 11, -14, -1, -9]]\nB =\n[[-7, -11, -9, 4, -14, -13, -14, 5],\n [6, 15, 15, 7, 3, -12, 8, 4],\n [-9, 12, 6, -9, 1, 3, 6, 0],\n [-13, -1, -2, -1, -2, -9, 9, -13],\n [14, 1, -6, -1, 13, -10, 12, 1],\n [1, -2, 8, 9, 2, 9, -11, 13],\n [-8, -9, 7, -12, 2, -11, 0, -2],\n [11, 11, 3, 15, -2, -7, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-148", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 4) when matrix A is multiplied by matrix B?\nA =\n[[3, -4, -12, 0, 9, -5, 6],\n [-12, 1, -8, -2, 11, -14, -5],\n [15, -5, 8, 6, 8, -10, 5],\n [5, -2, 14, -6, 10, 11, -8],\n [-9, -8, 12, -8, 7, -14, 11],\n [15, 0, -7, -3, 7, -4, 11],\n [15, 6, 9, 13, 1, 11, -14]]\nB =\n[[-3, -15, 10, 12, 3, -5, -11, -15],\n [4, 14, -3, -8, -10, 13, 1, -4],\n [-15, -13, -2, 10, 15, -8, -5, 11],\n [-2, -8, 13, -13, -9, 12, 3, -12],\n [9, 0, -3, 4, 3, -11, 7, -11],\n [4, 8, -12, -14, 10, -3, 14, 0],\n [6, -14, 3, 1, -11, 9, 2, 12]]\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, 5, 2, -8, 11, -1, -3],\n [-3, 0, 6, 4, -3, 4, -14],\n [-13, -1, 7, 3, -3, -11, 10],\n [6, -10, -2, -12, 6, 3, 7],\n [-9, -12, -14, 11, -9, -13, -1],\n [-15, -14, -6, 0, 9, 12, -1],\n [8, -1, 15, -2, 6, -2, -10]]\nB =\n[[-2, 1, 2, 4, 3, 14, 1, 0],\n [-8, -9, 4, 12, -4, -7, 11, -2],\n [4, -15, 15, -6, 15, 1, 1, 1],\n [-12, 1, 2, 4, 7, -14, -8, -3],\n [7, 9, 14, 6, 4, 6, -1, 4],\n [7, -7, -13, -13, -14, -15, -2, 1],\n [-3, 3, 14, 7, -1, 11, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "707", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-14, -9, 1, 2, -10, 11, 5, -8],\n [12, 11, -14, -15, 0, -9, 6, 8],\n [-5, 15, -1, -3, 14, 8, -14, -2],\n [8, -10, -7, 12, -9, 2, 8, -7],\n [7, -12, -7, -12, -4, -12, 9, 14],\n [8, 4, -2, 8, 15, 8, -9, 10],\n [-3, 6, -8, 7, -11, -4, -3, 13]]\nB =\n[[4, -2, 12, 2, 11, 8, 9, 4],\n [-12, 5, 2, -9, -1, 5, -10, 0],\n [4, 8, -8, 12, 5, 0, 12, 6],\n [0, -13, 1, -7, 9, -13, 4, 13],\n [-9, 2, -4, 3, 0, 6, 11, 8],\n [15, 1, 4, -1, -15, -14, -8, 6],\n [9, -14, 3, -7, -7, -3, -10, 14],\n [-1, 3, 5, -1, 2, -9, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1003", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 7) of the product of the following matrices:\nA =\n[[-8, -10, -8, -14, 3, 0, -9],\n [-6, -4, 1, -9, 6, -8, -9],\n [-12, -13, 3, -1, -12, 15, 9],\n [-7, -3, 2, 5, 0, -15, -12],\n [2, -8, 4, 0, 5, -5, 4],\n [5, 5, 5, 11, 3, 7, 3],\n [2, 3, -5, -13, -8, 4, 3]]\nB =\n[[-6, 0, -11, 4, -7, -8, -5, 0],\n [-9, -1, 8, 13, 5, 4, 7, 1],\n [-10, -1, -8, -9, -14, 14, -3, 14],\n [7, 13, -10, 13, -11, 4, -15, 13],\n [2, -1, 7, -6, -13, -11, 8, 13],\n [-3, -8, 6, 5, 13, -14, -7, 1],\n [11, 2, -3, -15, -4, 4, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 3) when matrix A is multiplied by matrix B?\nA =\n[[-11, -8, 11, -1, 11, -13, -10],\n [12, -3, -4, 3, 13, 2, 8],\n [-15, 9, 11, -9, -4, -6, 13],\n [15, -4, -5, -12, 3, -10, 9],\n [15, -7, 4, -6, -11, 11, -3],\n [-7, -14, 2, 5, -15, 8, 5],\n [-4, -6, -14, 12, -7, -14, 7]]\nB =\n[[8, 14, 6, -2, -5, 7, -5, 1],\n [-12, -3, -9, 0, -15, -3, -15, -5],\n [-10, 4, -13, -4, 15, -11, -7, 10],\n [10, -4, 14, 14, 12, 11, -6, 3],\n [-11, 10, -11, -7, 11, 12, 10, 11],\n [4, 1, -6, 5, -15, 6, 12, 0],\n [10, 10, -1, 7, 1, 10, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "534", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -15, 9, -8, -11, -10, 7, 4],\n [14, -2, 6, 7, -5, 15, -10, -5],\n [-3, 15, -4, 6, -14, 5, -13, 7],\n [-12, 1, 12, 12, 6, -10, -9, -1],\n [-5, 8, 15, -13, 14, -10, 10, -14],\n [13, -2, -7, 2, 3, -4, 15, 15],\n [-3, 10, -4, -4, 2, -7, 1, 5],\n [0, 1, 5, 8, -8, -5, 8, -14]]\nB =\n[[-8, -4, 5, 15, -15, 7, -3, 6],\n [5, 1, -2, -2, 0, 1, -10, 10],\n [12, -9, 10, 10, -15, 9, -1, 4],\n [5, 2, 14, 12, 10, -3, 8, 14],\n [-14, 3, -1, -4, -1, 9, 2, -2],\n [-10, -4, 4, 7, 14, 14, -10, 10],\n [14, -7, 14, 9, 10, -12, 1, -14],\n [0, 8, -2, 10, -8, -2, 15, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "879", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -12, -15, 7, 4, 11, -2],\n [-8, 9, 12, 9, -13, -11, -10],\n [6, 10, -8, -10, -10, -12, -9],\n [14, 14, 8, 3, -9, -13, -8],\n [-15, -15, -2, -10, -6, 9, 12],\n [-2, -12, -10, 0, 12, 5, 12],\n [15, -15, -10, -7, 15, -1, -4]]\nB =\n[[-13, -5, -1, -13, -2, -14, 13],\n [-12, 10, 3, -4, -14, 1, -13],\n [-6, 0, 6, -7, -5, 5, -1],\n [-13, 0, 14, 5, 5, 5, 12],\n [-4, 7, -11, -9, -7, 5, 2],\n [5, -8, -4, 4, -14, -6, 3],\n [-7, 9, 8, -8, 8, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7748", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-15, -10, -4, 9, 8, 3, 11, 1],\n [-14, -5, 15, 2, 7, 12, 6, -5],\n [2, -8, -1, -7, -1, -9, 4, -3],\n [-3, -15, 4, -12, 8, -12, -12, -3],\n [-14, 12, 10, 7, -1, -12, 11, -10],\n [-13, -9, -10, -13, -12, -6, 14, 5],\n [-7, 14, -10, 13, 4, 11, -5, -9]]\nB =\n[[2, -12, -11, -12, -12, 11, -3],\n [0, 9, -2, -5, 13, -14, 6],\n [-2, 8, 8, 11, -9, 10, -5],\n [-12, -9, 13, 0, 10, -10, 11],\n [-10, -14, 8, -8, 14, 11, -9],\n [11, 9, 8, -2, -7, -1, 9],\n [6, 2, -4, 7, 3, -3, -9],\n [9, -6, 14, -6, -14, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-278", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 4) of the product matrix AB given:\nA =\n[[6, 13, -10, -7, -3, -7, 15, -3],\n [-11, -2, -11, -7, -8, -9, -8, 6],\n [-13, 7, 8, -1, -8, -15, -9, 3],\n [-14, -2, 2, 14, -1, -2, 8, 9],\n [3, 14, 3, 6, 11, 10, 1, 6],\n [12, 3, 11, 0, 4, 9, 3, -15],\n [3, -9, 13, 7, -5, -11, 14, 1],\n [-5, 8, 10, -8, -6, -4, -6, -3]]\nB =\n[[10, 2, -6, 3, 4, 1, 4, 0],\n [-11, -13, 14, 11, -1, 10, -14, -3],\n [6, -8, 7, 11, 14, 1, -12, 3],\n [6, 9, -7, 7, -1, 12, -7, 8],\n [5, -7, -2, 7, 5, 0, 15, 8],\n [15, 7, 9, 10, 1, 15, -3, -7],\n [-1, -9, -15, -15, -11, 8, -7, -4],\n [-10, 12, -3, 10, 12, -8, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-191", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[11, -10, -12, -5, 5, 14, 2, -13],\n [-13, 14, -4, 11, 5, 14, 5, -10],\n [5, 12, -10, -8, -1, 2, 4, 13],\n [0, -10, 12, 5, 1, -7, 3, 2],\n [9, 7, -11, 12, -10, -4, -5, 0],\n [4, 1, 4, -7, -15, 10, -13, 15],\n [15, 5, 7, -7, 6, 3, -3, 7]]\nB =\n[[15, -2, 4, 3, 14, 7, 11],\n [11, -9, -12, -4, 7, 11, -2],\n [-14, -15, 12, 15, 2, 4, -8],\n [-13, 15, 10, 15, -10, 6, -3],\n [-7, -7, 4, -7, 15, -1, -3],\n [6, 0, -14, 10, -2, 11, -10],\n [-14, -8, -12, 5, 8, -2, -5],\n [8, 12, -2, -4, 0, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2120", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[15, -15, -4, -9, -8, -7, -14, 1],\n [4, -3, -11, -6, -4, 1, 5, -10],\n [-13, 12, -1, -9, 14, -10, -12, 3],\n [-11, -13, 10, 9, -7, -10, -3, 11],\n [6, 12, 14, 4, -12, -14, 10, -12],\n [-8, -3, -6, 2, -7, 14, -15, -3],\n [2, -1, -14, -5, 13, 15, -2, 6],\n [-1, -2, 0, 7, 13, -1, 15, 3]]\nB =\n[[11, -7, -11, -11, -5, 12, 4],\n [9, 8, 12, -12, 4, 2, 9],\n [-13, -12, -2, -9, 10, -8, 8],\n [0, 4, -1, -9, 10, 1, 6],\n [6, 6, -4, 2, 8, -2, -1],\n [-1, -11, 0, -11, -14, 4, 12],\n [9, -7, 6, 11, 15, -7, -12],\n [-1, -5, -15, 2, 13, -15, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 0, 10, 12, 6, 2, 6, -7],\n [-4, 3, 9, 2, 11, -11, 11, -14],\n [-9, 11, -6, -1, 9, -9, 12, -11],\n [-1, 4, 12, 4, -1, -6, 8, 10],\n [13, 10, -2, 10, 10, -6, 1, 5],\n [-2, -14, 0, -3, 11, -7, -9, 0],\n [-6, 8, 6, -7, 6, 7, -9, 0]]\nB =\n[[-7, 11, 8, 13, 1, 4, -9, -5],\n [-8, -9, 12, 3, 15, 4, -4, -9],\n [-8, -9, -10, 9, -7, 11, -3, -9],\n [-8, 6, 1, 1, 0, 6, -14, 14],\n [-8, 1, -3, 2, 8, 12, 6, 12],\n [-6, -14, -14, 11, -2, 0, -9, 5],\n [5, 8, -4, 12, 7, 12, -2, 9],\n [-12, 10, -12, 2, -13, -15, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3622", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, 0, 14, -11, 3, -9, -2],\n [-14, -13, 1, 0, -8, 2, -1],\n [-9, 11, -7, -10, 2, 2, 9],\n [10, 8, -2, -2, -2, 9, -12],\n [-12, -1, -1, 2, -2, 10, -15],\n [-6, 13, 4, -6, -6, 11, 8],\n [-14, 13, 12, 11, -8, -15, 15]]\nB =\n[[-15, -12, -9, -7, 0, -11, -14, 12],\n [7, -5, 2, 9, 9, 3, -3, 8],\n [-5, 4, 3, 1, -11, -3, 14, 11],\n [4, -15, -6, -8, 8, 13, -8, 3],\n [-10, -4, 12, -9, 0, -7, 5, 9],\n [6, -6, -6, -6, 4, 13, 0, -15],\n [1, 14, 10, 5, 13, -2, 3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10892", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 1, -2, -8, 5, 5, -7],\n [-8, -3, 1, 3, 12, -9, 1],\n [-15, -11, 9, -10, 10, -14, 11],\n [9, 0, 6, -11, -11, 15, -4],\n [-13, 14, 0, -10, -1, -1, 13],\n [0, 4, -3, -4, -6, -2, 15],\n [-14, 13, -13, -7, -5, -5, 9],\n [6, -6, 10, -2, -7, 4, 11]]\nB =\n[[5, -6, 6, 13, 15, -7, 13, -11],\n [-8, -5, -15, 5, -6, -15, 10, 14],\n [6, -9, 12, -2, -11, 1, 6, 10],\n [5, -10, 0, -5, -6, -1, -9, 7],\n [-14, 15, -4, 3, -4, 0, -10, -13],\n [-14, 4, -11, -5, 10, 9, -13, -13],\n [6, -11, 6, 7, -5, -13, 15, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "365", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[5, -8, 4, -6, -14, -12, 2, 3],\n [-12, 4, 10, -7, 0, 10, -10, 9],\n [-12, -7, 11, -3, -7, -10, 5, 3],\n [-2, 15, 5, -1, -13, -11, 5, 2],\n [-2, 0, -2, -7, -1, -9, -2, -10],\n [5, -1, 4, -8, -14, -8, -15, 10],\n [1, 3, -11, 14, 6, 4, 0, -9],\n [-9, 2, 2, -14, -1, -2, 15, 2]]\nB =\n[[13, -7, -2, -11, -5, -8, -11],\n [13, -5, -11, 1, 6, -12, -1],\n [3, 6, -14, 8, 1, -4, 9],\n [8, 1, -6, 12, 15, 9, 2],\n [3, 2, -3, -2, 8, 0, 2],\n [10, 2, 0, 15, 1, -9, -4],\n [-14, -6, -11, 5, -13, 3, -3],\n [-4, -13, -10, -2, -12, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-53", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[2, 13, -13, 4, -10, 0, 4, 8],\n [-13, -4, 3, 3, 8, -12, -15, -14],\n [-3, 14, 10, 13, -3, 14, -14, 14],\n [3, 6, 8, 0, -4, -15, -7, 1],\n [-6, 2, 3, -9, 9, 3, 8, -1],\n [-7, -6, 7, 4, 4, -12, -10, -12],\n [-11, -7, -4, 7, -8, 5, -11, 13]]\nB =\n[[-5, 7, -5, -3, -2, 12, -8],\n [9, 15, 14, 2, 3, -4, -4],\n [2, -6, -9, 12, 2, -4, -2],\n [-1, 0, -14, 14, 14, 2, 15],\n [-4, 0, -3, 4, 1, 2, -13],\n [7, -6, -15, -10, -13, 3, -12],\n [13, 4, 7, -13, -8, -8, 11],\n [13, -9, -14, 5, -10, 12, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -12, -3, -6, 5, -2, -7, -5],\n [7, 2, -5, 1, -14, -13, -5, 2],\n [11, -13, 10, -1, -5, -5, 15, 12],\n [14, 12, 9, 4, 12, 9, -5, 3],\n [12, -15, 11, -11, -6, -6, -2, -14],\n [-12, -14, 2, -3, 3, -11, 4, -14],\n [15, -5, 14, 14, 10, 2, 14, -10]]\nB =\n[[7, 12, -6, 6, 7, 1, 6, -5],\n [3, 1, 8, -12, 10, 8, 10, -2],\n [11, 4, -12, 12, -2, 10, -12, -10],\n [14, -7, 5, -4, 13, 10, 14, 15],\n [-8, 8, -12, 15, 11, 10, 9, 9],\n [-11, -10, -11, 3, 11, -8, -7, -1],\n [-12, 9, -7, -9, -8, -1, 3, -1],\n [-11, 3, -9, -10, 11, 3, 9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "418", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -6, 3, 15, 15, 15, -5],\n [-1, -6, -5, 7, -13, 14, -13],\n [2, 9, -5, 4, 10, 13, 6],\n [2, 9, -1, -9, -6, 5, 7],\n [14, 4, 13, -6, -3, -1, 7],\n [2, 7, 15, -12, 4, 1, 12],\n [-13, 5, 5, -14, -12, -15, -1],\n [9, -15, -10, -9, 3, -4, 15]]\nB =\n[[-15, -9, 3, -3, 10, -4, -4],\n [6, -3, 12, -2, 6, 14, -4],\n [4, -4, 11, -10, 11, -6, 4],\n [15, 13, 8, -7, -14, -9, -7],\n [9, -4, -11, -15, 6, -1, -8],\n [-15, 2, -3, 13, -15, -11, 2],\n [0, 15, 10, -6, 14, -12, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-515", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -8, -11, -14, 8, 1, 15],\n [-9, 1, 12, -10, 13, 6, -1],\n [-11, -1, 2, 2, 9, 5, 5],\n [7, -10, -14, 11, 1, 5, -12],\n [-4, 3, -14, 10, -14, -2, -1],\n [4, -14, -12, 3, -7, -9, 14],\n [-3, 11, 15, -4, -13, -3, -1],\n [-2, 8, -7, -3, 7, 6, -12]]\nB =\n[[5, -8, -13, -14, 3, 12, 7],\n [-8, 1, -3, -9, -7, -4, 13],\n [-2, -2, -1, -13, -1, 3, 8],\n [4, -2, -8, -11, 14, 3, 15],\n [-12, -2, 0, 4, 8, -10, 7],\n [9, 15, -10, -13, -1, 13, -13],\n [-5, -13, 12, -6, 2, -15, 0]]\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 value at position (7, 2) of the result:\nA =\n[[0, 11, -6, -15, -12, -13, -11],\n [-4, 9, -4, -3, 8, -4, 9],\n [0, -3, -11, 8, -12, 5, -1],\n [-4, 3, 5, 12, 3, 5, -5],\n [14, 5, -10, -7, -15, -4, 10],\n [-2, -10, -15, 6, -14, 8, -5],\n [-13, -6, 14, -10, -10, 15, 4]]\nB =\n[[5, -14, 10, 15, 10, 8, -6],\n [7, 10, -10, 7, 12, 1, 14],\n [-2, -11, 7, 1, -14, -7, -4],\n [3, 6, 15, -9, -7, 5, 0],\n [4, -5, -4, -1, 2, 3, 0],\n [-1, -11, -5, -1, 13, 2, -3],\n [-12, 1, -12, 0, 7, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-4, -13, -6, -8, -10, 6, -2],\n [15, 1, 5, 3, 0, -1, 10],\n [-1, -15, 8, 7, 7, -4, -6],\n [-2, -6, -6, 4, 13, 15, -5],\n [6, 0, 13, -7, -1, -2, 3],\n [15, -7, -12, 5, -9, 6, 10],\n [-8, 8, -8, 3, -1, 0, 14],\n [10, 6, 7, -7, 10, 10, 14]]\nB =\n[[-4, 15, 0, -12, -11, -8, -15],\n [12, -10, -1, -12, 5, -5, -11],\n [2, 8, -1, 2, 4, 12, -3],\n [-11, 14, -15, 6, 2, -2, -11],\n [15, -10, 11, 8, 9, 13, 15],\n [12, 0, 6, 5, -4, 4, 2],\n [-14, 7, 5, 7, -3, 11, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 0, 5, 2, -8, 14, 15],\n [-13, 1, 13, 2, 10, 10, 7],\n [-10, 12, -8, 7, 14, 10, -3],\n [-8, 3, -10, 13, 7, -1, -6],\n [11, 1, -15, -9, 13, 11, -3],\n [-13, 3, -1, -11, 15, -5, 6],\n [2, -13, -10, -13, 14, -11, -7]]\nB =\n[[12, 3, 12, 11, -3, 13, -10, -5],\n [5, 5, 11, 14, -2, -10, -10, 1],\n [-5, -1, -7, 5, 1, 8, -9, -9],\n [15, 14, 5, -15, 9, 11, 9, -8],\n [-11, 14, 3, -8, 1, 3, -4, 11],\n [7, 14, -1, -12, 7, -4, 11, -3],\n [-2, -11, 6, 0, 14, -9, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 0, -4, -9, 0, 7, 7],\n [11, -3, 13, 7, -13, -1, 12],\n [-13, -9, 14, 2, -2, 2, 3],\n [-2, 4, -10, 13, -8, 10, 10],\n [-9, 4, 2, 2, -1, 4, 6],\n [3, 6, 5, 5, -14, -8, 5],\n [-5, 2, 7, -3, 15, -7, -7]]\nB =\n[[1, -9, -7, 6, -15, -14, -12, -2],\n [-12, -14, -8, 2, 3, -2, 4, 9],\n [-6, 1, -8, 12, 15, -2, 5, 7],\n [-8, 15, -11, 0, -8, -6, 11, -8],\n [-7, 2, -13, 1, 4, -1, 15, 5],\n [11, 1, -8, -14, 1, 2, 15, 13],\n [-11, -7, -7, -14, -14, 3, 7, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-562", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-13, 1, -2, -2, -2, -10, -13],\n [-15, 14, 0, 13, -12, 13, -15],\n [1, 12, 2, 10, -8, -14, 11],\n [2, 15, 11, 11, 0, 10, -6],\n [-8, -4, 6, 0, -4, -5, 4],\n [3, -15, 11, -13, -4, 14, -7],\n [5, 13, 6, -11, -15, -6, 1],\n [-12, -1, 3, 11, -8, 12, 12]]\nB =\n[[7, -1, 11, 15, -9, -1, -8],\n [14, 10, 7, -6, 2, -12, -1],\n [-5, 6, -13, -1, -13, -1, -10],\n [-15, -2, 0, -15, 5, 1, 10],\n [-8, 2, 0, -10, -6, -6, -11],\n [10, 12, -4, 4, 1, -2, -2],\n [-13, 13, -4, 4, 2, -4, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8790", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-14, 11, 1, -6, 2, 6, 3],\n [10, 5, -15, 8, 13, -12, 9],\n [-12, 14, 15, 15, 15, -14, 3],\n [5, -4, -6, 15, -3, 13, 14],\n [6, 7, 4, 7, -1, 10, -13],\n [7, 4, 13, -3, -8, 9, -9],\n [8, -8, 2, -7, -10, 11, -12],\n [-1, -11, 10, -11, -9, 14, -7]]\nB =\n[[-9, -7, 4, -6, 14, 10, -12, -10],\n [8, -2, -7, -15, 1, -3, 8, 11],\n [-9, -7, -5, -13, 10, -4, 5, -13],\n [-1, 5, -6, -15, -2, 11, 4, -10],\n [-14, 13, 7, -8, -15, 13, -12, 11],\n [-12, 13, -11, 14, 12, 12, 4, -7],\n [7, -3, 2, 1, 9, -15, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[15, -14, 0, 4, 6, -11, 11, 6],\n [3, -11, -14, -9, -13, 1, 14, 8],\n [8, -13, -3, -9, 9, 8, -13, -1],\n [13, 2, 13, -6, 7, -9, -7, -11],\n [4, -8, -2, -12, 4, 12, -2, -4],\n [-14, -3, 15, -15, 4, -9, 12, 9],\n [-7, 12, 10, 15, 1, 5, 7, -3],\n [7, -6, 0, -10, 0, -5, 10, 4]]\nB =\n[[-13, 12, 13, -7, -1, 12, -3],\n [-6, 4, 8, -3, 1, -9, 12],\n [-10, -3, 12, 1, -1, -12, 12],\n [-1, -2, 5, -5, 8, 15, -12],\n [-13, -14, 4, 11, -6, 14, -3],\n [4, 13, 10, 5, 13, 7, 9],\n [2, 5, 0, -5, -6, -7, -4],\n [14, 13, 3, -15, 2, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1191", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -15, 1, -5, 4, 12, -1, -12],\n [-1, 6, 6, 10, -2, 6, -15, 10],\n [-7, 11, -9, 7, -5, 7, -14, -14],\n [-10, 7, 3, 13, 4, -2, 12, -13],\n [-9, -9, -12, 13, 7, -11, 1, 10],\n [-12, 7, -3, 0, 0, 15, -14, 2],\n [-15, 2, 10, 14, -8, -5, 8, 8],\n [-1, 0, 1, 1, -4, -6, 4, -10]]\nB =\n[[-8, -3, -14, 13, 3, 6, -6],\n [-12, -4, 2, -9, 4, 8, 8],\n [7, 10, 9, -12, -9, -6, 10],\n [-1, -4, -15, 4, 2, 9, 0],\n [-11, 3, -12, -10, 10, 1, -9],\n [8, 7, -9, -7, -3, 4, -2],\n [0, 7, -7, -1, -11, 2, 15],\n [5, 4, -8, -1, 5, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7293", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 13, 10, 15, 6, -10, -12],\n [-5, 13, -6, -13, -15, -4, 7],\n [-1, -1, 5, -2, 10, 15, -9],\n [1, 8, 3, -9, 12, -13, 14],\n [-13, 10, 9, 13, 2, 14, 4],\n [6, -2, -13, 12, 10, 14, 10],\n [-9, -9, 15, -11, -13, 2, -1]]\nB =\n[[15, 4, -2, 15, 13, -12, 11, 8],\n [-8, 13, 5, -3, 6, -8, -1, 1],\n [-11, 4, -12, -5, 2, -6, 1, 14],\n [-1, -10, 7, 5, 0, -1, -8, -7],\n [-5, 11, -14, 11, -3, -12, 11, -7],\n [-11, 3, 6, 15, -13, 14, 5, -13],\n [-10, 12, -6, -11, 14, 9, -13, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1125", "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, -9, 6, 14, 15, 2, 15, 7],\n [-8, -15, 15, 9, -12, 8, 15, 10],\n [-9, -2, -3, -6, 7, 2, -15, -12],\n [12, 0, 0, 2, -8, -6, 0, 7],\n [8, -5, -10, -15, 14, 13, 13, -4],\n [9, -10, 12, -3, 10, 1, -15, -8],\n [6, -8, 8, 15, -5, -2, 8, -6]]\nB =\n[[-1, -9, -9, -6, -12, 9, 12, 2],\n [11, 9, -6, 3, -2, -3, -1, 0],\n [-14, 13, -12, 5, 2, 13, 15, 1],\n [-6, 11, 5, -7, -1, 12, -4, 15],\n [5, 12, 11, 10, -7, -2, -3, 12],\n [10, -10, 3, -12, 4, 1, 3, -13],\n [13, -2, 1, -3, -7, 11, -15, 9],\n [1, 0, 2, -14, -2, 6, 7, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10852", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -13, -14, -8, 9, 13, -14, -14],\n [10, 15, -7, 14, 4, 5, 13, 11],\n [9, -10, 10, -4, 9, -7, -9, 14],\n [-4, 10, 9, -11, 0, -11, -4, 8],\n [10, 4, -7, 7, -9, 13, 15, 3],\n [4, 7, -5, 11, 14, 5, -4, -13],\n [1, -9, 6, -6, 15, 7, -1, 14],\n [-14, -3, 12, -12, 2, 8, 7, -15]]\nB =\n[[-14, -14, -12, -13, 1, 12, -2],\n [-14, 0, -5, 9, -3, -15, 9],\n [7, -14, -14, 5, 13, -11, -12],\n [-4, 10, 10, 13, 12, -13, 4],\n [-6, 4, 2, 5, 15, 5, 5],\n [11, 15, 11, -6, -15, -10, -5],\n [-14, -9, 4, 15, 5, 5, 5],\n [2, 5, 3, -12, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "269", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[13, 9, 8, -3, 14, 15, 11, 12],\n [3, 1, -15, -10, 3, 4, -15, -8],\n [1, 5, 6, -1, 2, -9, 0, -9],\n [1, -12, -4, -3, -12, 5, -15, -15],\n [-9, -7, -15, 0, 2, 6, 15, -1],\n [-10, -14, -7, -12, -3, 7, 6, -5],\n [-3, -5, 3, -8, -9, 9, 0, -13],\n [1, 2, 12, 11, -1, 12, 1, -5]]\nB =\n[[-11, 0, -1, -6, -2, -14, 0],\n [3, -8, -1, -6, 14, -11, 4],\n [0, 5, 10, 6, -4, 7, 14],\n [-3, -7, 1, 4, 12, -4, 9],\n [-11, 8, -4, -15, 4, 12, 0],\n [14, -4, -7, -3, 1, 1, -12],\n [-2, 3, -9, 11, -13, -15, -4],\n [-1, -5, -6, -14, 10, 13, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8490", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 1, 12, 14, -8, 7, -2, 8],\n [13, -12, -10, 15, 13, 3, 11, 13],\n [8, -12, -13, 4, -10, 11, 7, -9],\n [-2, 15, -4, 0, 4, -8, 7, -14],\n [-3, -8, 9, 5, 15, 4, 0, -12],\n [13, 0, 4, -10, 11, -12, 0, 7],\n [7, 5, -3, -11, -1, 10, -8, -9],\n [-2, -9, 6, -9, 7, 10, 14, 2]]\nB =\n[[14, -6, 2, -2, -6, -9, 14, 10],\n [-9, -9, -11, -15, -2, 2, -3, 9],\n [-8, -8, -6, 1, -10, -1, -1, 9],\n [0, 15, -8, 3, 4, -1, -13, -10],\n [14, 9, 15, -8, 15, 0, -1, -3],\n [10, 4, -1, 2, -3, 8, -8, -2],\n [12, -5, -10, 14, 8, 9, 13, -15],\n [9, -14, 14, -3, -15, 8, 8, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3274", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 8) of the result:\nA =\n[[-12, 8, 7, 13, -14, 5, 14, 10],\n [4, 0, -13, 1, -11, 10, -8, -4],\n [9, 7, -4, 11, -15, -15, -1, 1],\n [-14, 1, 4, 10, -7, -4, -12, -3],\n [-12, -9, -2, 11, -7, 7, -15, -15],\n [4, -12, -15, 6, -6, -14, 11, 5],\n [8, -1, -13, 9, 7, -7, 1, 5],\n [12, -3, -13, -12, -12, -5, 12, -9]]\nB =\n[[10, -5, 8, -5, -6, -11, -3, 13],\n [-4, -6, -9, 3, 3, 3, -4, 4],\n [6, -1, -11, 8, 14, -2, -4, 13],\n [5, -5, 12, -11, 0, 14, 10, 2],\n [-4, 11, 11, -11, 0, 15, -4, 7],\n [-14, 14, 13, -10, 7, 5, 9, 14],\n [-12, 14, 14, -3, -6, 15, 1, -2],\n [8, -1, -8, 7, 8, 2, -13, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-189", "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, -3, 14, 11],\n [0, -11, -12, 10, -6, -3, 15],\n [-6, -2, 10, 6, -4, 11, -15],\n [13, 5, 14, 4, 4, -9, -7],\n [-8, 11, -3, -2, -4, -8, 5],\n [6, 2, 0, 13, -5, 0, -2],\n [-13, 5, -14, -13, -12, 6, -11]]\nB =\n[[-6, 4, 13, 15, -14, -4, 11],\n [-11, -11, 11, 7, -15, -12, 11],\n [5, 8, -4, 15, -4, 0, 8],\n [1, 5, -6, 1, 1, 2, -14],\n [15, 15, 9, -12, 3, -5, 1],\n [-4, -14, -10, -7, -11, 4, 13],\n [5, -7, 12, 13, 7, -8, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8384", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[4, 11, -8, 6, 5, 13, 12],\n [7, -10, -13, -11, -7, -9, 12],\n [-12, -9, -11, -5, 13, -1, -14],\n [-3, 6, 0, -9, -8, -10, 8],\n [-9, 2, 14, 6, 9, 12, 6],\n [4, -9, -13, -11, -15, -1, 10],\n [-13, -8, 9, -7, -1, -6, -14],\n [4, -11, 15, 3, -3, -5, -15]]\nB =\n[[6, 14, -1, 10, 2, 0, -7],\n [-15, -5, -7, 7, -5, -3, 10],\n [-14, -2, -10, -8, 15, 2, 0],\n [15, 5, 13, -4, -5, -10, -13],\n [-2, 12, -14, 15, -5, 6, -13],\n [2, 15, -15, 14, 8, -15, -4],\n [-1, -11, 11, -10, 0, 11, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-203", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 2) of the product of the following matrices:\nA =\n[[-4, -13, 14, 7, -14, -9, -14],\n [5, -9, -5, -5, -2, -13, -2],\n [-5, -12, 1, 0, -13, 9, -6],\n [5, 15, -1, -8, 2, -13, -9],\n [14, -6, 4, -7, -2, 7, -2],\n [-5, 12, -15, -12, 10, 11, -10],\n [6, 10, 6, -11, -13, -14, -13],\n [-7, 3, 3, 1, 2, -5, -4]]\nB =\n[[-13, 2, 8, -10, -9, -15, -10, 2],\n [-3, 15, 6, 3, -9, 3, -7, -13],\n [7, -4, 4, 8, 14, 2, -8, -7],\n [-3, -8, 6, -6, 1, -9, 1, 7],\n [14, 2, 8, -14, -13, 13, 12, 3],\n [-15, 5, 5, -6, 5, -2, -3, -7],\n [-10, -10, 3, 5, -6, 7, -13, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "501", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 3, -11, 9, -5, -6, 1, -12],\n [10, 15, 5, 2, 12, 2, -15, -2],\n [-8, -14, 3, -1, 12, -14, -12, 14],\n [-15, 3, 5, -6, -15, 4, 6, -1],\n [-12, -9, 14, -9, 6, 9, 2, -3],\n [-6, 8, -8, 11, -6, -2, -2, 11],\n [4, 6, -5, -10, 5, 14, -15, 3]]\nB =\n[[-9, 8, 2, -13, 4, 14, -5],\n [-11, 3, 5, 8, 8, 14, -14],\n [6, -12, 9, -6, -14, -8, -15],\n [11, -10, -5, 11, 14, 12, -6],\n [-3, -15, -14, -13, -7, -11, -6],\n [-6, -4, 2, 10, 5, 5, -15],\n [-13, -11, 9, 10, 1, -8, 1],\n [-7, -10, 1, -8, 5, -9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-721", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, -9, 6, 11, -8, -7, 12],\n [-1, -14, -9, -1, 2, 6, 2],\n [-6, 6, 2, -15, -9, -13, -2],\n [-4, -2, 13, -12, -3, 0, 0],\n [6, -11, 4, 9, -10, -10, 2],\n [-10, -9, 8, 15, 14, 8, 0],\n [-7, 10, 11, -3, -4, 3, 10],\n [15, 7, 7, -15, -8, 15, -12]]\nB =\n[[5, 14, 6, 3, 5, 10, -11, 1],\n [-13, 3, -15, 13, 7, -15, 7, 4],\n [-7, 7, -11, -9, 9, 10, -10, 1],\n [6, 1, -3, -4, -12, 14, -8, -11],\n [15, -11, -3, 10, -5, -8, -8, -15],\n [-3, 13, -11, 12, 5, -8, 1, 7],\n [7, -3, -7, -14, 15, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "619", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[15, -9, 14, 10, -13, 3, 3, 8],\n [-7, -6, 13, -2, 2, 10, -1, 10],\n [-15, 14, 9, -10, 14, -1, 9, -10],\n [2, -15, 14, 8, -13, 1, 15, 0],\n [-8, 12, 1, -8, 1, 9, 14, -7],\n [-4, 13, 9, 3, -12, 5, 6, 9],\n [13, -5, 12, -12, -2, -2, -10, 13]]\nB =\n[[1, -14, -8, -12, -6, -9, -12],\n [0, -2, 0, 9, -7, -12, 13],\n [15, 8, -10, -15, 15, -9, -15],\n [3, -8, 15, 9, -13, -15, -15],\n [-9, 5, -3, 14, -15, 0, 6],\n [14, 6, -2, -12, 7, 7, -4],\n [9, -4, 1, 5, -1, -6, -13],\n [7, 4, 4, 13, -4, -15, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-293", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 2, -1, -14, 1, -8, 6, 6],\n [10, 10, -7, 5, 15, 4, 15, -5],\n [-10, 8, -2, -15, -9, 8, -7, -5],\n [8, 7, 0, 3, -14, -1, -13, -12],\n [4, 6, 12, -9, -4, -12, -6, -10],\n [9, 14, 6, -2, -13, 1, -5, -6],\n [10, 13, 5, -6, -6, -13, 8, 10],\n [-1, 1, 11, 2, 3, 3, -4, 8]]\nB =\n[[-11, 8, 11, 0, 14, -1, -1, 11],\n [-10, 15, -4, -14, 11, 4, -7, -12],\n [-11, 5, 10, -8, 6, -6, -9, 6],\n [-2, 14, 14, -11, 0, -1, -11, -13],\n [7, 13, -6, -11, 7, -1, 2, 9],\n [-8, 15, 5, -14, 6, -8, 7, -8],\n [-12, 14, 3, 7, 2, 14, 5, 13],\n [7, -15, 4, -1, 2, 6, -4, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-603", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, 3, 12, -15, 15, 8, -9, -14],\n [-9, 3, 15, -3, 9, 8, -11, 7],\n [3, -15, -15, 15, 11, 2, 8, -15],\n [11, 12, -11, -7, -4, -7, 2, 7],\n [-5, -15, 3, 6, 9, -6, -14, -9],\n [15, 4, -14, 3, -10, -6, -7, -8],\n [10, 14, -5, -7, 4, 12, 4, 15]]\nB =\n[[-7, -8, 12, -1, -14, 8, -15],\n [-7, -7, -3, 15, -8, 11, 5],\n [-11, 13, -13, 5, -12, 1, 0],\n [0, 9, 15, 10, 14, 4, -13],\n [-10, -15, 5, 0, -1, -9, -14],\n [-6, 9, 12, -1, -10, -14, 8],\n [8, 1, 12, -15, -15, 12, -12],\n [4, 0, -8, -15, 10, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1006", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 9, -6, -4, -7, -9, 13],\n [-4, -1, -8, 1, -11, 15, -2],\n [-14, 0, 13, 1, -13, 7, -15],\n [11, 2, 2, -12, -1, 12, 3],\n [3, -6, -11, 3, -5, -9, -11],\n [4, -4, 3, -1, -4, -12, 14],\n [15, -4, 2, 1, 3, 0, -5]]\nB =\n[[-14, 0, -15, 1, 2, 13, 13, 9],\n [13, -3, -11, 9, 8, 13, 11, -10],\n [-15, -6, -11, 12, -15, 7, 10, 14],\n [-5, 8, 8, -9, 2, 5, 4, 5],\n [-6, 9, -1, -12, 0, -1, -1, -4],\n [-8, -8, 2, 14, -10, -11, -14, -4],\n [10, -12, 7, -3, 1, 15, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9411", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 2) of the result:\nA =\n[[10, 12, -15, -1, -4, -11, 7],\n [8, 2, 4, -14, -12, -1, -10],\n [6, -4, 13, 2, 11, 4, -12],\n [14, -15, -1, 14, 2, -2, -13],\n [13, -1, 11, -11, 11, 8, 15],\n [6, -13, 6, -9, -10, 10, 6],\n [-15, 3, -9, -12, -4, 4, 7],\n [9, 14, 11, 13, 13, 15, 2]]\nB =\n[[-7, 3, 6, -12, -15, -7, 11, -1],\n [6, -8, -1, -1, 2, -9, 6, 2],\n [0, -14, -12, 4, 0, -13, 8, 14],\n [7, -14, -13, 10, 9, 13, -11, -14],\n [3, 8, 4, 14, -14, -14, 6, 8],\n [7, 4, 2, 9, 4, 9, 5, -2],\n [12, -1, -4, -5, -5, 14, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "118", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -11, 15, -14, 6, 0, 7],\n [14, -1, -5, 13, -10, -3, 14],\n [3, -6, 8, 3, 14, -11, 9],\n [11, 5, 15, -9, -5, -2, 7],\n [5, 0, 2, 5, 7, 7, -12],\n [-15, 6, 13, -1, -2, 3, 11],\n [-11, -12, 15, -3, 2, -4, 15]]\nB =\n[[7, 14, 5, -1, 14, 7, -7],\n [-12, -11, -7, -3, -6, 11, 0],\n [14, -3, -12, 5, -3, 5, -8],\n [15, -3, -1, 4, 4, -3, 7],\n [11, -11, 6, 6, 12, -10, 14],\n [10, -11, -3, 13, -11, 9, -3],\n [8, 15, 4, 7, -8, 12, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2418", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 3, 15, 13, 4, -1, 10, 6],\n [-6, -5, -11, -7, 13, -5, 11, 14],\n [3, -14, -10, 13, 7, 5, -15, -13],\n [-13, 12, -2, 4, 14, 10, 6, -11],\n [1, -1, -10, -2, -2, 9, 11, 1],\n [-8, -8, 3, 15, 13, -7, -5, -3],\n [-3, 11, 8, 3, 10, 5, 3, -11],\n [0, -7, 15, 12, 4, 6, -13, 3]]\nB =\n[[-11, -8, -2, 8, -13, 8, -3, -5],\n [13, -8, 3, -6, 15, 13, 15, 10],\n [2, 10, 2, 9, -9, 0, -10, 0],\n [0, 7, 8, 12, -15, 8, 3, -13],\n [-10, -12, -12, -12, -6, -7, -8, 3],\n [1, 1, -15, 4, -2, 6, 4, 11],\n [-5, -13, 8, 14, -8, 6, 9, 12],\n [-6, 1, 13, -8, 6, -15, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12147", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 1) when matrix A is multiplied by matrix B?\nA =\n[[-9, 8, -7, 12, -4, 6, 10],\n [-7, 4, 8, -13, -12, -6, -12],\n [6, 15, -7, 6, -15, -11, -7],\n [-11, -10, 3, -8, -6, -5, -3],\n [4, -12, -5, -4, -11, 14, -6],\n [15, 9, 13, 8, -9, 5, -7],\n [-7, -6, -6, -14, -12, -8, 13],\n [-2, 1, -3, 15, 5, 8, 2]]\nB =\n[[2, -3, -8, 10, -4, 9, 7],\n [8, 5, -15, 4, 15, 2, -13],\n [-4, 3, 9, -3, 15, -6, -1],\n [4, -14, 3, -13, -2, -9, -8],\n [13, -5, 13, 6, 4, -10, 13],\n [-5, 1, 13, -6, 8, 1, 15],\n [5, -14, 15, -10, 9, -11, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[14, -14, -4, -13, -10, 8, -2, -8],\n [5, 5, 10, -2, 13, -13, 0, -1],\n [-9, -1, -3, -10, -1, 1, -12, 6],\n [11, 6, 11, -2, -1, 12, -4, 3],\n [6, 12, -6, -10, 12, 9, -7, -14],\n [-12, -7, -1, 14, -3, 4, -8, 10],\n [12, 3, 3, 9, 0, -5, -6, -8],\n [-15, -6, 14, 2, -13, 14, -5, 2]]\nB =\n[[-13, -8, 11, 11, 12, -2, -10],\n [-1, -2, -9, -6, -1, 15, 13],\n [-6, 6, 1, 11, 3, 13, 1],\n [-4, -1, 10, -4, 9, 13, -7],\n [-11, -12, -4, 0, -7, 9, 15],\n [-13, 5, -13, 10, 2, 1, 12],\n [-6, -14, 8, -5, 8, -13, 7],\n [7, -14, -7, 3, -14, 12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1408", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 7) of the product of the following matrices:\nA =\n[[-14, -1, 8, 5, -13, -11, -5],\n [11, 8, -9, -10, -2, 13, -15],\n [10, 1, 1, -2, -6, 14, -8],\n [-8, -2, -9, -10, -12, -15, -1],\n [15, 9, -1, -15, 4, -13, 7],\n [-11, -11, -12, 1, 5, 4, -2],\n [10, 13, -8, -14, -8, -15, 13]]\nB =\n[[-12, 3, -11, 13, -11, 5, 12],\n [4, 8, 3, -4, 4, -15, -9],\n [1, 15, -14, -5, -9, 1, 11],\n [-13, 13, 6, -10, 6, -5, 13],\n [2, 2, 6, -6, -11, 14, 7],\n [7, 5, 8, 10, 6, -1, 5],\n [4, 7, -12, 5, 5, -15, -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[[1, 3, 15, -2, 11, 3, 2, 12],\n [-14, -10, -3, 1, -10, 5, 6, -11],\n [-9, -15, -3, 3, 6, -15, -3, -5],\n [11, -9, 4, -13, 10, 9, -15, -8],\n [1, -3, -2, -11, 10, 8, 6, 7],\n [11, 8, 13, -10, 11, 6, 11, -10],\n [5, -8, -3, 2, 7, 15, -12, 1],\n [13, -11, -13, -12, 7, -11, -2, -1]]\nB =\n[[4, 1, -10, 11, -6, 6, 7, 0],\n [1, -2, 4, -4, -7, -1, -4, -2],\n [10, 6, 2, 4, -10, -12, 15, 10],\n [7, -4, -3, 3, 6, -3, 15, -4],\n [4, -13, 12, -13, -2, 2, 11, 3],\n [13, 12, 14, -6, 1, -1, 3, -7],\n [-12, -1, 3, 0, -8, 1, 5, -15],\n [-9, 5, 15, 2, -4, 0, 14, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1265", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[11, -1, -9, 12, 1, -13, -5, 15],\n [-10, 15, -10, -1, -9, -5, 14, 11],\n [1, 7, 2, 6, 13, 8, 13, 5],\n [10, 3, 11, -8, 8, 4, -8, 5],\n [13, -5, 5, -13, 15, 7, 11, -2],\n [11, -7, 9, -15, -15, 10, 12, -4],\n [-5, 15, 5, -15, 4, -4, 1, -1],\n [-14, 2, 0, -12, -8, -14, -2, 9]]\nB =\n[[-1, 12, -7, -14, 1, 10, 15],\n [-6, -7, 15, -14, 8, 14, 3],\n [1, -5, 1, -6, 2, 7, 12],\n [-10, 0, 12, 11, 2, 4, 2],\n [-15, 12, -13, -1, 4, -6, 5],\n [-11, -1, 7, -2, -1, -6, 8],\n [-7, -4, -9, -11, 9, 8, -6],\n [9, 10, -8, 6, 4, 9, 0]]\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[[-4, -7, -6, 0, -6, -7, 14, 10],\n [-13, 11, 12, 15, 3, -5, -10, -10],\n [-1, 13, -1, -3, 6, -11, -2, 5],\n [-14, 14, 7, -4, 4, -2, 3, 8],\n [4, -1, 11, 4, 8, 1, 9, -2],\n [7, 15, 12, 2, 11, 12, 6, 8],\n [11, -11, 6, -4, -6, -8, 13, -10]]\nB =\n[[12, 9, -1, -4, 9, 9, -10],\n [-4, -1, -4, -7, 3, 5, -14],\n [12, -3, -3, -8, 11, -3, -12],\n [-10, -10, 5, -4, -4, 1, 11],\n [-9, 10, -1, 8, 1, -6, 7],\n [4, -10, -7, -1, 0, 5, -8],\n [0, -11, 2, 4, -2, -14, 7],\n [7, 14, 15, -13, -2, 13, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6091", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 1, -15, -7, 6, 13, -2],\n [0, 12, 5, -3, -10, 6, -15],\n [5, 9, -12, -13, 1, 14, 15],\n [-14, 3, 4, 7, 6, 11, -8],\n [14, 9, -1, -10, 7, 4, -14],\n [9, 9, -1, 4, -4, -13, -6],\n [-2, 11, 6, 14, -2, -13, -15],\n [4, -15, -14, 3, 8, -6, -12]]\nB =\n[[-12, -3, 10, -7, -9, 0, 2, -13],\n [4, 4, -6, 8, 10, 14, 10, 6],\n [0, -13, -5, 9, -6, 0, -8, -7],\n [-1, 5, -13, -12, 14, -3, -4, 5],\n [-7, 9, -2, 3, -9, 0, 6, 15],\n [4, -11, 14, 15, -6, 2, -5, -9],\n [-2, 4, 2, -5, 6, 11, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1801", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 7) of the result:\nA =\n[[10, -14, 7, -15, 7, -6, 5, -15],\n [-10, -9, 1, -7, 15, -9, 1, -13],\n [0, -11, 4, 2, 15, -15, -12, 7],\n [-5, 4, -7, 14, -8, -8, -11, -4],\n [15, -15, -1, 9, 2, -10, -6, -2],\n [5, 10, 13, 15, -8, 11, -13, 6],\n [6, 10, 3, -4, -4, -1, 12, -9],\n [11, -12, 5, -7, 6, 0, 10, 15]]\nB =\n[[-3, -12, 8, -7, 10, 5, 2, -1],\n [-1, -10, -5, 15, 12, -8, 13, 5],\n [1, 8, 9, 1, 8, 10, 12, 2],\n [-12, 13, 15, -1, -14, -14, -6, -13],\n [14, -8, 4, -9, -4, 10, 3, 10],\n [12, 14, -1, -2, 0, 13, 11, -2],\n [-13, 2, 13, 12, 6, -10, 1, 7],\n [12, -2, -2, 4, -3, 11, 12, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-292", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 7) of the result:\nA =\n[[-3, 13, 8, -14, -7, -3, -8],\n [0, 8, 13, -13, -3, -12, 2],\n [-14, 4, 6, 5, -1, 1, 13],\n [-6, -15, 15, -10, -13, 3, -9],\n [-3, -3, 1, -15, -2, 13, 10],\n [-13, -2, 8, -15, 0, -6, -3],\n [-12, -7, -2, -12, -6, -8, 7],\n [-13, 7, 15, -9, -6, -13, -14]]\nB =\n[[-1, -7, -1, 1, 14, -9, 4, 2],\n [-1, 2, 8, 7, -4, 7, 5, 14],\n [10, -8, 14, -14, -14, -11, 15, -15],\n [6, -12, -10, 7, -3, 3, -5, -3],\n [-8, -9, -3, -15, -10, -9, 0, 14],\n [11, -1, 4, 14, -14, 10, 9, 7],\n [0, 1, 8, -1, -13, -12, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "184", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 15, -10, -6, 6, 2, 11, -6],\n [-10, 8, -10, 4, -1, -12, 9, 0],\n [6, 8, -8, -9, 3, 10, 1, 5],\n [-3, -1, 10, 10, 15, -14, 12, -6],\n [-3, 2, 14, 7, -5, -3, 3, 13],\n [8, 9, 14, 13, 8, 6, -11, -13],\n [3, 7, -3, -11, -4, -2, -10, 14]]\nB =\n[[6, -7, 1, -8, 10, -3, 13, -11],\n [13, 6, 6, 1, -13, 12, -10, -2],\n [-1, -2, -5, -5, -7, -10, -1, -4],\n [13, -10, -15, 9, 0, 4, -1, -14],\n [1, -13, -13, -11, 1, 7, 13, 1],\n [4, -10, 15, -15, -9, 10, -1, -9],\n [3, 4, 6, 14, -5, 7, -2, -3],\n [4, 10, 11, 9, -7, -7, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "628", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-6, -10, 2, -14, 11, 4, -7, 3],\n [-10, -14, -1, 1, 0, 12, 5, -8],\n [-6, -6, 2, -6, -7, 12, 8, 3],\n [-15, -12, 8, -13, -6, -4, 2, 7],\n [4, -10, 5, -14, -6, -14, 14, -7],\n [11, -6, -14, -8, 8, 1, 1, 13],\n [-12, 2, -4, 15, 1, -7, 13, 3],\n [-2, -2, 14, 1, -14, -8, -11, 11]]\nB =\n[[-9, 6, 13, 0, 0, 1, 6],\n [11, -9, 4, -8, -8, 7, -5],\n [-1, 2, -10, 6, -4, -1, 12],\n [7, -10, 2, 8, 15, 4, -7],\n [-8, -2, 3, 3, -8, -14, 9],\n [-12, 15, -10, -13, -13, 3, -5],\n [13, -6, -4, -2, 14, 14, 12],\n [2, 8, -7, -1, 8, 15, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-34", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, 7, -5, -6, 2, -12, 12, -3],\n [14, 13, -10, 11, 5, -3, 9, 10],\n [4, -11, 4, -2, -3, -2, -8, 0],\n [-3, 8, -1, 3, -15, 6, -14, 2],\n [3, -8, -13, 7, 10, -2, 10, -7],\n [13, -8, 1, 7, 7, 8, 0, -6],\n [5, -6, 9, 9, 8, -10, 6, 1]]\nB =\n[[13, 0, -1, 6, -2, -12, -12, 14],\n [-14, 13, -5, 14, -12, 5, 13, 12],\n [5, 0, 5, -12, -15, 14, 10, 8],\n [3, -14, -7, 7, 9, -3, 2, 0],\n [0, 9, -6, -7, -5, 9, 10, 13],\n [10, -12, -6, -13, -10, -13, 11, -7],\n [-13, 2, -8, 6, -8, -1, -3, -9],\n [3, -8, -6, 1, -15, -3, 13, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 8, 0, 13, -7, -6, -10],\n [-11, -14, -5, -7, -10, -8, -7],\n [-7, -8, -4, 10, -8, -13, -3],\n [3, -14, 1, 0, -12, 2, -2],\n [14, -14, -3, 11, 11, 5, 4],\n [1, 15, -1, 9, 14, 4, -11],\n [-9, 2, 8, -5, 2, 11, 10]]\nB =\n[[-11, -3, 12, 2, -14, 4, -12, -3],\n [8, 13, 0, -10, 10, -8, 0, -3],\n [7, 13, 10, -12, -14, 15, -7, 2],\n [1, -8, 10, -1, -7, 1, 7, -14],\n [-10, 13, 11, -11, 1, -14, 2, -6],\n [-6, -10, 11, -4, 1, 11, -3, 4],\n [12, 0, -6, 11, 5, -14, -14, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-398", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, -9, -10, -15, -4, -3, -4],\n [3, -7, -6, 1, 2, -8, -9],\n [-7, -6, -4, -1, 15, -1, 12],\n [-12, -12, 7, -15, 10, -4, 9],\n [-14, -1, 1, -9, -10, -4, 3],\n [-15, 12, 5, 10, -2, -12, -11],\n [-15, -15, 5, -10, -11, -14, 9]]\nB =\n[[5, 11, 11, -11, 10, -7, 3],\n [5, -1, -3, -4, -11, -14, 11],\n [-12, 11, 11, 2, 5, -6, -3],\n [-4, -14, 10, -1, -2, 9, -6],\n [6, -8, 9, -1, -3, -8, 5],\n [5, 6, -2, -15, -3, 11, -8],\n [2, 6, 14, 14, -7, -3, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7229", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, -6, -11, 11, 9, -10, 14, -8],\n [8, -9, 5, 2, -2, -1, -6, 10],\n [5, -4, -9, 12, 12, -9, -5, -3],\n [-1, 2, -9, -10, 7, -5, -8, 4],\n [-15, -8, -8, 3, -13, -11, 14, -13],\n [-1, -2, 5, -1, 8, 1, 2, -14],\n [-4, 0, -12, 9, -14, 12, -2, -5],\n [-3, 15, 12, 9, -9, -6, 8, -15]]\nB =\n[[13, 5, 9, 12, -12, 2, -10, -14],\n [-13, -2, -8, 15, 0, 3, 2, -10],\n [-2, -13, 0, -15, -4, 14, 15, 15],\n [-2, 3, 6, 3, -7, -9, -2, -11],\n [2, 15, -7, 5, -9, -7, -12, 9],\n [1, -4, -10, 2, -8, 5, -1, -13],\n [-14, 8, 7, -7, -8, 11, -12, -14],\n [-2, 13, -14, -14, 14, 11, 12, 6]]\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 value at position (7, 5) of the result:\nA =\n[[-9, -4, -10, 2, -12, 3, 11, -3],\n [4, 5, 7, 14, 9, 15, 11, -14],\n [-8, 3, -7, 10, 12, -12, 15, 0],\n [3, -6, -10, 0, -6, -3, -7, -9],\n [-12, 3, 10, -12, 3, 12, 3, -4],\n [14, -3, 9, -12, 9, 12, 15, -6],\n [5, -9, 14, -11, 1, 2, -5, -1]]\nB =\n[[5, 6, -9, 2, 10, 9, -10, 2],\n [0, -14, 3, -15, 9, 14, 10, -5],\n [4, -11, 0, 7, -15, 3, -2, -13],\n [-14, 8, -11, 1, 12, 2, -15, -1],\n [6, -7, 11, 7, -11, 12, -3, 3],\n [12, 12, 8, -6, 4, 9, 5, -2],\n [6, 5, 10, -4, -5, 7, -9, 1],\n [2, -9, 8, 4, -10, -5, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-341", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 3, 7, 11, 3, -5, 0],\n [7, 12, 11, -4, 11, -8, -13],\n [-14, 12, -10, 0, 4, 8, 13],\n [-1, -2, -14, 4, 2, -2, 2],\n [-14, -15, 4, -14, -7, -7, 0],\n [-5, 11, 7, -10, -4, -13, 14],\n [-4, 14, 15, 7, -15, -7, 4],\n [6, -10, -5, -13, -12, 13, 11]]\nB =\n[[-6, 3, 13, -10, -15, -8, -8, 9],\n [-10, 1, 3, 15, -15, -1, -3, 15],\n [5, -13, 14, -14, -13, -7, 11, 0],\n [8, -3, 3, 11, 2, 5, -4, 12],\n [13, -4, -15, 4, -8, 1, 5, 12],\n [4, 6, -9, -7, 1, 11, -6, -12],\n [6, 10, -9, -9, -8, 14, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12374", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[8, -8, 0, -4, -1, -8, 6],\n [-7, -13, 6, 5, 15, 0, -1],\n [8, -12, 4, 13, 15, 0, -6],\n [-5, 10, 13, -11, -5, 13, -3],\n [-1, -10, 0, -1, -5, 4, -14],\n [12, 12, 14, -14, -4, 0, 3],\n [-14, 1, -2, 8, 12, 0, -11]]\nB =\n[[-6, 1, -3, 0, -7, 8, -12, 8],\n [13, 12, 13, 10, 0, 7, 11, 15],\n [-5, -9, 1, 6, -3, -12, -2, -6],\n [-6, -6, 11, -4, -14, 10, 7, -7],\n [13, -11, -8, 5, -2, -9, -9, -7],\n [-13, -2, 1, 2, -4, 6, -2, 10],\n [10, 12, -3, -2, -7, 3, 10, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, 1, -14, 3, -9, 2, -3],\n [-11, 2, 7, 10, 8, 8, 13],\n [0, -1, -8, 10, -1, 9, -15],\n [12, 1, 14, -1, -2, -2, -6],\n [-14, 11, 15, -10, 14, 1, -11],\n [15, -11, -1, -1, 4, -5, -11],\n [12, -15, -5, -5, -10, 7, -8],\n [15, -14, 15, -1, 7, 6, -7]]\nB =\n[[-1, -8, 14, 0, 11, -2, -1, 4],\n [14, -3, -7, -15, 11, -10, -8, 11],\n [11, 4, 2, 11, 2, 10, 1, 5],\n [0, -3, 6, -12, -12, 5, -2, 15],\n [-11, 0, -2, 14, -2, -2, 9, 8],\n [9, 13, -2, 3, 14, -13, 1, -2],\n [-6, -3, 6, -12, -5, -1, -1, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "520", "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, -14, -5, -14, 7, 13, 15],\n [-11, -3, -15, -9, -9, -6, -10],\n [4, -4, -3, 8, 12, -5, 2],\n [-14, 0, -14, 3, -10, -15, -5],\n [2, -6, 15, 2, 14, 12, -15],\n [3, 0, 10, -9, -1, 13, -15],\n [7, 5, -7, -14, 1, 9, 8],\n [-6, -10, 15, -11, -8, -8, 14]]\nB =\n[[-11, -4, -9, -3, -3, 1, -12],\n [2, -6, -13, -4, -15, 11, -5],\n [2, -3, 1, -8, 4, 3, 1],\n [-14, -13, -13, -10, -6, 8, 6],\n [2, 2, -2, 0, -9, -15, 1],\n [7, 9, -11, 11, -15, 5, 11],\n [1, -6, 15, -4, 9, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9018", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-14, 7, 0, -1, 12, -3, 2],\n [12, 4, 6, -2, 2, -14, -14],\n [-13, -11, 9, 0, 6, 15, -1],\n [-4, 14, -7, 10, 15, -2, 13],\n [5, 0, -5, -10, -6, 12, -8],\n [0, -13, -14, 0, 3, 14, -7],\n [0, 15, 6, 10, 12, -12, -6],\n [3, -3, 2, -1, 14, -12, -7]]\nB =\n[[-12, 13, 0, 12, 5, -1, 8],\n [-14, 12, 11, -2, -13, 6, 12],\n [7, -12, 14, 15, -15, 7, 12],\n [-7, 1, -2, 1, -15, -6, 7],\n [0, 11, 9, 3, 8, 9, -13],\n [12, -4, -13, -1, 1, 2, -9],\n [3, -9, -11, 10, -8, 5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1541", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[0, 3, 9, -1, -9, -11, 7, -5],\n [-6, 9, 5, 7, 11, -7, -15, 4],\n [-15, -8, -13, -14, 14, -12, 11, 3],\n [-5, -11, 15, 13, 8, -6, 8, 11],\n [7, -8, -3, 13, -11, 10, 10, 11],\n [-4, 11, -3, 6, -8, -1, -3, -15],\n [6, -10, 15, -5, -3, 5, 4, -15],\n [-5, 10, -5, -8, 6, -13, 12, 3]]\nB =\n[[-4, -10, 12, 15, 7, -8, -11],\n [-6, 6, 0, -4, 1, -10, -7],\n [-6, 4, -2, -2, 10, 13, 1],\n [14, 11, 9, 0, -12, -14, 0],\n [-15, -13, 7, -5, 0, 10, 2],\n [-1, -7, -4, 13, 11, 2, -11],\n [8, 13, 13, 12, 10, -8, -13],\n [-14, 9, 3, -8, -14, 3, -15]]\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 value at position (2, 3) of the result:\nA =\n[[14, 11, 6, -3, 7, 4, 1, -13],\n [-7, -11, -10, -12, 1, 14, 5, 5],\n [5, 0, 15, 0, 6, -5, -14, 1],\n [-1, 2, 13, -6, -10, 5, 0, 15],\n [-11, -4, 12, 15, -10, -2, 10, 7],\n [0, 9, -9, -14, -10, -7, -9, -14],\n [3, -8, -5, 9, -12, 0, 9, 2],\n [-3, 11, -11, 11, -14, -5, -15, -3]]\nB =\n[[14, -11, 2, -2, -3, -9, -8],\n [2, -9, 4, 1, 0, -5, 15],\n [3, 11, 12, -15, 5, 15, 13],\n [-8, -15, 14, -7, 3, 5, -7],\n [5, 9, -6, 8, 7, -5, -15],\n [4, 9, 10, -8, 4, -4, -15],\n [-6, -12, -1, 3, -10, 11, -11],\n [-11, 2, 12, -13, 11, 6, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[15, -12, 2, -7, 3, 10, -6, 6],\n [-1, -15, 13, -5, -2, 15, 15, -6],\n [3, 8, 5, 0, -8, 15, -14, 7],\n [9, -9, 3, -9, -1, -8, -2, -15],\n [13, -3, -13, 5, 12, -10, 3, -1],\n [-12, 5, 15, -13, -12, -11, 2, 10],\n [9, -6, -8, -4, 6, 10, 11, -13],\n [11, 2, 7, -8, 10, -15, -2, 15]]\nB =\n[[6, 7, 15, -3, 9, -4, -13, 2],\n [5, -3, -1, -6, -15, 13, -10, -7],\n [-6, -1, -7, 7, -2, -5, -9, 15],\n [8, 10, 14, -14, -2, -10, -11, -11],\n [13, 3, 3, -10, 12, 10, 13, -6],\n [7, -2, 1, 14, -13, 12, -15, -6],\n [-13, -11, 9, 3, -6, 14, 10, 9],\n [0, -15, -10, -7, 12, -11, 11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "374", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 7) of the product of the following matrices:\nA =\n[[-6, -14, -11, -15, 9, -6, 13],\n [10, 9, 6, 11, -7, 14, -13],\n [-1, -12, -3, -10, 4, 1, 7],\n [-11, 14, -1, -8, 9, -11, 8],\n [-3, -15, -15, -9, 15, 6, -11],\n [-2, -1, 5, 14, 9, 1, 8],\n [2, -9, 6, 10, 2, 12, 13]]\nB =\n[[3, 4, -9, -8, -3, 11, 2, 8],\n [-5, -7, 7, -15, 6, -8, 5, -4],\n [15, -14, -1, 5, 8, 2, 1, -1],\n [4, 4, -7, -13, 4, 3, 2, 4],\n [14, -8, -15, 8, 8, -1, 3, 14],\n [10, -6, -4, 12, -10, 13, -3, -12],\n [-3, 1, 14, -15, -11, 12, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 3) of the result:\nA =\n[[2, -9, 0, -8, -4, -2, 3, -5],\n [-4, -3, -8, -15, -7, 12, -14, -2],\n [-3, 0, -14, -12, -4, 0, -6, -13],\n [-12, -10, 7, -11, 2, -13, -6, -5],\n [3, -2, 5, 12, -5, 12, 5, -12],\n [8, 6, -10, 1, 6, 3, -3, 6],\n [-6, 13, -5, 13, -10, -14, -15, -5]]\nB =\n[[15, 0, -13, -11, -1, -1, -12, 7],\n [-12, -8, -9, 10, 9, 1, -1, -11],\n [-3, -12, 6, 1, 6, 1, -2, -2],\n [1, -8, -14, 10, -3, 14, 6, 0],\n [14, 0, -10, 6, 8, -12, -13, -10],\n [-12, 2, -10, 10, -11, 11, -7, -5],\n [-10, 14, 0, 3, -5, 5, -1, 10],\n [8, -7, 8, 15, 3, 9, 3, 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 (5, 2) of the product of the following matrices:\nA =\n[[10, -7, 7, -12, -6, 15, -7, 3],\n [-1, 3, -14, -6, 15, 3, 1, 15],\n [4, 8, 5, -14, 3, 1, 2, 1],\n [-14, 3, -15, -5, 9, -6, -11, 0],\n [8, -11, 8, 7, -4, -12, 15, 7],\n [-10, 3, -7, -4, 10, -1, 0, -3],\n [9, 14, 5, 8, -9, 9, 7, 4],\n [-12, -5, -8, -10, 9, 14, -6, 14]]\nB =\n[[-9, -9, -12, -13, 8, -9, -12],\n [-3, 4, 1, 11, -9, 1, 10],\n [10, -12, -5, 14, -13, -5, -13],\n [-4, -15, -12, -2, -15, -2, -3],\n [-3, 8, -1, 15, 1, -4, 14],\n [6, 7, 15, 10, -2, -4, 2],\n [-12, 11, -2, 3, 13, -3, 9],\n [14, 7, 2, -5, 12, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-219", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 3, -2, -1, -5, -10, -2, -13],\n [3, 4, 9, -5, 13, 8, 1, 13],\n [12, 11, 1, 7, -13, -2, 11, -9],\n [9, 3, -13, -14, 10, 1, -7, 6],\n [-10, 8, 11, 5, -7, 15, 11, -11],\n [-14, 6, -1, -7, 3, -6, -12, -6],\n [11, -8, 6, -3, -9, -9, -12, -1],\n [-4, 0, -10, 12, -7, -13, -8, -9]]\nB =\n[[-12, 10, -3, 3, 14, -9, -6],\n [9, -4, 10, -13, 15, 10, 9],\n [13, 8, -4, 3, -1, -8, -4],\n [4, -10, 12, -6, -14, 8, -3],\n [9, -9, -8, 7, 0, -5, 10],\n [-12, 1, 0, 3, 7, 11, -5],\n [-9, 11, -3, 3, 1, 10, 9],\n [12, 6, -3, 13, -4, -9, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "488", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-15, 4, 7, -2, 11, -1, -5],\n [8, 10, -7, 1, -12, 4, 3],\n [-9, -15, -7, -3, 8, -14, -14],\n [8, 11, 14, -1, 1, -3, -9],\n [-7, -4, 15, -13, 7, 6, -1],\n [-9, 7, 10, -15, -2, 3, 0],\n [-6, -15, -11, -13, 1, 2, 10]]\nB =\n[[5, 11, 3, 6, 9, 6, 2, 0],\n [-14, -1, -3, -3, 0, -8, -5, -8],\n [6, -6, 7, -15, 15, -4, -7, -11],\n [-7, 0, 2, 14, -8, 7, -5, 14],\n [4, 3, -12, 4, 10, -6, 8, -3],\n [13, 4, -2, 5, -14, 13, -12, -9],\n [3, 14, 14, 1, 0, -3, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2875", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, 7, 15, 10, 11, 2, 5],\n [-4, 7, 15, 9, -15, -1, -13],\n [-10, -2, 7, -10, -15, 4, -10],\n [-8, 10, -1, -2, 0, 4, 7],\n [0, 11, 3, 8, -15, -12, 8],\n [-6, 4, 2, -14, -12, -1, 13],\n [-12, 0, -1, 2, -9, -1, 6],\n [-5, 3, -8, 8, -15, -13, -11]]\nB =\n[[2, -4, -4, 5, 11, 10, 3, 15],\n [-7, -5, 1, 0, -12, -6, 6, -1],\n [9, 3, 15, -13, 15, 12, 5, 7],\n [14, -11, -5, 8, -11, -9, -10, 14],\n [10, -3, -14, 3, -5, 11, 4, -11],\n [-7, -10, 1, 3, 7, -8, -9, -11],\n [-1, -6, 8, 0, -7, -9, -5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "515", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 14, -7, -13, 6, -8, 3],\n [4, 0, -9, 12, -9, 4, 9],\n [-3, -13, -4, 8, -8, -3, 4],\n [0, -9, -12, 13, -4, 1, -15],\n [14, 1, -14, -10, -4, 10, -5],\n [5, -5, 2, -8, 9, -9, 12],\n [-2, 0, 15, 15, -4, -7, 4]]\nB =\n[[13, 7, 5, 0, 5, 3, 0, -7],\n [-3, 10, -11, 6, 3, -6, -9, -7],\n [9, -2, -1, -3, -6, -2, 10, 5],\n [7, 13, -4, 12, 13, 3, -10, -4],\n [8, -3, -8, 0, -14, 6, -9, -4],\n [-9, 3, -2, 14, -7, 2, -5, 0],\n [3, 15, -5, 2, -5, 9, -12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1410", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 4) of the product of the following matrices:\nA =\n[[3, -3, -12, 15, 14, -6, 13],\n [6, -11, -13, 0, 10, -8, 8],\n [-9, 3, -2, -1, 1, 5, -15],\n [-10, 11, 7, -1, 15, -4, 5],\n [4, -14, -11, -7, 4, -2, 2],\n [13, 15, 6, -8, -14, -7, -9],\n [14, 13, 2, 11, 0, 5, -11],\n [7, 13, -1, -11, -5, 14, 6]]\nB =\n[[-2, 9, 3, -13, 8, -6, 12, -10],\n [12, 10, -13, -14, -3, 2, -14, -1],\n [-11, -1, 12, 5, 1, -14, 2, -1],\n [4, 7, -13, -11, -5, -7, -11, 9],\n [-15, 9, -2, -11, -8, 5, -2, 12],\n [0, -10, -8, -14, 3, 11, -7, -11],\n [-11, 9, 10, 3, 14, -12, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-280", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 4) when matrix A is multiplied by matrix B?\nA =\n[[0, -9, 2, 8, 5, 15, -15, -13],\n [15, 9, 5, -8, -15, 14, -9, -9],\n [-8, 3, 1, -5, -1, -7, 1, -5],\n [-10, -7, 14, 2, 4, -14, -12, 2],\n [12, -15, -5, -13, -8, -11, 4, 5],\n [6, 6, -11, 12, -5, -4, 6, -7],\n [5, -3, 6, 4, 13, -13, -3, 12],\n [6, -5, -5, 5, 4, 5, -9, 1]]\nB =\n[[0, -2, 15, -15, -5, -3, -15],\n [-14, -7, -3, -11, 14, -7, -3],\n [-11, -1, 14, -9, -2, 14, 0],\n [15, -10, -14, 0, 3, -11, -12],\n [-2, 11, -10, -8, 8, -13, -12],\n [-15, -14, -3, -7, 15, -4, -6],\n [-6, 2, -4, 6, 14, 0, 7],\n [-10, 8, 9, 8, 5, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[15, -1, 10, -7, 14, 8, -14, 2],\n [-4, -13, -9, -7, -8, 9, -10, -15],\n [-2, 0, 12, 0, -12, 13, -10, -1],\n [12, 6, 15, -8, 15, -15, -3, 11],\n [2, 2, -3, 6, 14, -2, -5, -9],\n [2, 5, 6, -12, 1, 3, -2, -6],\n [9, 13, -10, 2, 9, -12, -5, -3],\n [-8, -6, 7, 12, -5, -13, -1, -8]]\nB =\n[[4, 2, 11, 5, -15, 13, 8],\n [14, -8, -13, -15, 4, 9, 0],\n [-7, 15, 1, 11, 15, 0, 7],\n [-10, 14, 7, -9, 8, 0, -8],\n [-6, -2, -5, -14, -4, 12, 12],\n [4, 4, -3, -1, 11, 10, -4],\n [-3, -8, 0, 14, 13, 13, -13],\n [12, 13, 15, -3, -4, 3, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-784", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-14, -15, -8, 14, -7, 9, 11],\n [-8, 5, 1, -7, -10, 12, -1],\n [7, 8, -3, 5, 6, -4, -3],\n [-9, 7, 2, -2, -5, 12, -2],\n [1, 8, 5, 10, 15, -14, 3],\n [0, 6, -6, 6, -8, 5, -11],\n [-9, 10, -3, 0, 14, 15, -11],\n [0, -1, -7, 6, 7, -4, -8]]\nB =\n[[-3, -11, -2, 0, -5, 4, 15, -4],\n [-1, 8, -4, 10, -7, -15, -13, -4],\n [4, -3, 7, -10, -6, -6, 0, 11],\n [-15, 0, -12, -10, 3, 15, -14, 2],\n [-6, 12, 12, -12, 13, -15, -1, -6],\n [2, 0, -3, 10, -1, -14, 4, -12],\n [-15, -9, 7, 10, -5, 10, -6, -15]]\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[[-5, 8, -6, -2, -2, -9, 7],\n [-5, 6, 12, -12, 11, 8, -14],\n [-9, 3, -2, 3, 14, -9, -4],\n [-13, 15, -1, -11, -8, -2, 13],\n [-12, -9, -9, 2, -2, -8, 10],\n [-4, -6, 15, -2, -7, -10, 14],\n [-11, -15, -15, 9, 14, 4, 1]]\nB =\n[[-5, 10, -4, -13, -10, 14, -5, 13],\n [-3, -5, -8, 13, -6, -14, 8, -2],\n [13, 0, 1, -5, -14, 8, 7, -11],\n [15, 13, 0, 0, 10, -14, 0, 9],\n [-11, -8, 13, 4, -2, 9, -6, 7],\n [-14, -13, 14, 2, 5, -14, 5, 13],\n [-7, -14, 9, -9, -9, -2, -11, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9148", "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, 2, -10, -2, 2, 1],\n [-7, -3, 0, 5, -6, -6, -12],\n [-4, 11, -8, -1, 5, 14, 7],\n [3, -1, -8, -8, 3, -7, 14],\n [8, 1, -8, -4, 11, -1, -12],\n [-10, 14, 13, 0, 10, 9, -11],\n [7, -3, -1, 1, 9, 14, 6],\n [11, 4, 6, -11, 3, -9, -13]]\nB =\n[[-3, -2, 0, 15, -3, -14, -2],\n [4, -9, -11, -2, -7, -6, 15],\n [-9, 12, -2, 9, -2, 9, 12],\n [-14, 15, 1, 11, 4, -12, -3],\n [2, -13, 3, -11, -15, -7, 8],\n [-8, -13, -14, -15, -4, 6, -3],\n [-6, 1, 14, -5, -11, 9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9018", "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, -3, 12, 15, 4, 7, 14, -5],\n [7, -12, 5, -5, -7, -9, 0, 7],\n [10, 7, 15, 9, -11, -10, 3, -15],\n [11, 0, 12, 2, 8, -3, -15, -6],\n [-9, -11, -3, 6, 0, 8, 4, 6],\n [-2, -5, 3, 7, -14, 12, -8, -3],\n [-9, -4, 12, -8, 0, 2, 3, 12]]\nB =\n[[-12, 12, 9, 12, -4, 0, 5],\n [6, 1, -12, 14, 4, 10, 8],\n [8, 10, 6, 8, -7, -11, 1],\n [1, -14, -14, 5, 7, -9, 15],\n [-12, -3, 4, 14, 14, -5, 15],\n [10, -13, 11, -14, 0, -13, 8],\n [-1, 1, 0, 4, -9, 0, -11],\n [-14, -15, 6, 13, -3, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9225", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-13, 11, 11, -1, 0, -5, 9, 3],\n [2, 5, -7, -8, 6, 3, 6, -11],\n [1, -11, -2, -9, -7, 12, 15, 1],\n [-13, -8, 6, -3, 0, 5, 13, -6],\n [2, -13, -4, 0, 2, 1, -9, 14],\n [3, 7, 12, 7, -8, 1, 5, 10],\n [9, 12, 11, -9, -15, -8, 3, 13]]\nB =\n[[4, 4, 15, -6, 14, -4, 8],\n [-15, 8, 9, 9, 5, -12, -12],\n [-7, -1, 8, 10, -1, 10, 12],\n [-9, -4, -13, 4, 15, -7, -2],\n [-3, 8, 12, -4, -15, 3, 14],\n [0, -4, -6, -14, 2, -3, 13],\n [8, -10, -4, 12, 12, 13, 6],\n [-12, -15, -5, 7, -8, -14, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, -15, -12, -10, 14, 5, 4, -2],\n [4, 10, -1, -9, -9, 2, 13, 7],\n [-14, 4, -1, -15, 5, 1, 4, 13],\n [9, -3, -4, 8, 6, -1, 8, -11],\n [-9, -8, 7, -2, -12, 5, 13, -2],\n [-6, 6, 14, 14, 12, 0, -5, 6],\n [13, 9, 10, -2, -2, -14, 6, -3]]\nB =\n[[-13, 14, 2, 6, -12, 5, 5],\n [3, 0, 12, -12, 3, 7, -1],\n [-15, 0, -1, 0, 6, 4, -15],\n [1, -11, 14, -11, 10, -9, -3],\n [-4, -12, 14, 9, -12, 7, 5],\n [15, 5, -10, 8, -1, 5, 15],\n [3, -10, 14, -4, -2, 2, 12],\n [-4, 8, 8, -1, 3, 12, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "510", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, -11, -11, -10, 7, -13, -11, -15],\n [-5, 10, 5, 4, -15, -9, -1, 1],\n [13, -8, 14, 10, 12, -14, 10, -3],\n [-4, -11, -3, -10, 9, -1, 14, 7],\n [6, 5, 6, 15, 14, -5, -12, -15],\n [-1, -4, -7, -5, -11, 8, -9, -8],\n [-15, 9, -15, -13, -8, 12, -5, -15],\n [-2, -15, -10, 5, 11, -10, -13, -6]]\nB =\n[[-4, -6, 6, -14, 8, 15, 12],\n [6, -3, 0, -3, -12, -12, 14],\n [-5, 7, -2, -13, 11, 3, 6],\n [9, -15, -11, 1, -15, 3, 3],\n [-12, 3, -10, 12, -1, -12, 8],\n [-15, 8, 11, 1, -5, 1, 7],\n [-15, -7, -2, -1, 8, 13, 15],\n [-15, -14, 2, 2, -10, 4, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12413", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 7) of the product of the following matrices:\nA =\n[[-15, -1, -6, 14, -12, -6, -5],\n [-11, -7, -11, 13, -5, -13, 11],\n [-12, -6, -9, -15, 11, -10, -8],\n [1, 8, -9, -15, -7, -5, 3],\n [-14, 7, -5, -13, 1, -6, 13],\n [-13, 6, -13, 5, 9, -9, -14],\n [-15, -9, 4, -5, 7, -10, 7]]\nB =\n[[-12, 3, 12, 5, 3, -2, -13],\n [-12, -8, 2, -12, -5, 0, -13],\n [-9, -14, -15, 10, -15, -10, 3],\n [-9, 8, -11, 5, 12, 2, 8],\n [10, -3, -15, -6, -7, 1, -15],\n [-15, -9, -12, 12, 7, 5, -4],\n [0, -2, 7, -6, -2, -9, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-14, 8, 2, 0, -7, -11, -7],\n [15, 9, 14, -8, 8, 4, 0],\n [14, 4, 14, 2, -12, 0, -12],\n [-10, -13, 2, -1, -8, 2, 8],\n [7, -13, -10, 6, 10, 14, 5],\n [13, 8, -1, 11, -4, -11, -9],\n [6, 11, -1, -9, -3, 9, -13],\n [10, 7, -3, 10, -13, 13, -14]]\nB =\n[[12, 7, -12, 1, -10, -5, -10, 6],\n [-14, 1, -13, -4, -2, -14, 6, 13],\n [12, 6, 13, -11, -6, -6, 5, -7],\n [14, 5, -3, -6, -10, -5, -12, 10],\n [-2, 14, 15, 1, 4, -14, -6, -13],\n [-9, -9, -15, -8, 7, -15, -8, -2],\n [-2, -14, -8, 3, -6, -9, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "568", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -1, -5, 10, -2, -5, -14],\n [-14, 13, -4, -1, 1, -2, 9],\n [0, 11, -8, 8, 1, -11, -4],\n [-10, 15, 2, 10, 15, -11, -10],\n [-7, -1, -6, 1, 13, 10, 3],\n [-4, -7, -1, -2, -15, 1, -15],\n [7, 13, 5, 6, -3, 15, 14]]\nB =\n[[-8, 14, -3, 0, -14, -3, 2],\n [-13, -3, 3, -3, 3, -12, 3],\n [2, 9, -10, 3, 9, 15, -12],\n [-12, 8, -9, 15, -9, 10, 7],\n [10, 0, 11, 0, -11, -1, 7],\n [-12, 8, 9, -3, 12, 3, -9],\n [-4, 10, -7, 1, -14, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6145", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[15, 13, 2, -9, -15, 15, -13],\n [15, 5, 14, 12, 14, -5, 6],\n [-1, 13, 9, 9, -13, 14, 8],\n [-3, -12, 7, 6, -8, 6, -12],\n [2, -9, -5, 15, 13, 11, -12],\n [-3, -7, -7, 7, 5, 3, -13],\n [9, 9, -4, 13, -5, 4, -5]]\nB =\n[[1, 13, 10, 5, -2, 0, 8, -6],\n [15, 15, -12, -6, 10, 4, 13, -4],\n [14, -7, -1, -7, -9, 10, 8, -4],\n [12, 4, 8, -2, 6, 0, 13, 3],\n [7, -13, -5, 7, 5, 4, 3, -8],\n [4, -8, 10, -13, -6, -3, -7, -10],\n [-1, 0, -11, 5, -3, 3, -14, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3489", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, -15, -1, -1, -2, -9, 15, -11],\n [4, 9, 10, 0, 1, -5, -1, 4],\n [0, -13, -10, 5, 7, -3, -15, 13],\n [5, -2, -14, -14, 11, -1, 11, 2],\n [-7, 10, -13, -12, -1, -11, 14, 4],\n [4, -11, -6, 0, 15, 9, -4, 9],\n [14, -2, 6, -5, 12, 14, 3, -10]]\nB =\n[[-6, 4, -13, 6, -1, -5, 6, -14],\n [9, 8, -10, 1, 12, 2, 15, -12],\n [7, -7, -6, 5, 10, -14, 15, 13],\n [-5, -5, -5, -15, 10, -2, 13, 14],\n [-15, 5, 14, 7, 9, -7, 8, -15],\n [5, 6, 6, -12, -15, 3, -6, 15],\n [-1, 4, -12, 13, 4, -2, -11, 13],\n [-1, -1, 11, 9, 0, 0, -12, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1497", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -15, -11, -7, 4, -11, -12, 13],\n [0, -14, 10, 0, 2, -14, 0, 13],\n [-15, 0, -13, -1, 14, -5, -6, 1],\n [-12, 1, -12, 3, 9, -15, -2, 8],\n [-5, 9, 12, -9, 1, -12, -6, 1],\n [-12, 15, 3, 2, 1, -10, 12, -9],\n [-10, 9, -4, -7, 2, 15, 15, -14]]\nB =\n[[9, 1, 5, -15, 7, -7, -10],\n [14, -14, -10, -7, -13, 0, 9],\n [8, -1, 13, -4, 7, -8, 10],\n [-10, -13, 7, -12, 11, -6, -2],\n [5, 8, -1, -9, -9, -8, -6],\n [3, 3, -14, -1, -15, -6, -10],\n [6, -3, -6, -4, 8, 14, -10],\n [-10, -15, -4, 7, 7, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1874", "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, -1, 12, 7, 8, -12, 9],\n [15, 14, -15, -8, -13, -2, 1],\n [-14, -1, -10, -11, -2, 3, -7],\n [-8, 13, -13, 2, -8, 0, 14],\n [-1, 5, -1, 0, 9, -15, -6],\n [3, -11, 2, -13, -12, -12, -5],\n [-7, -15, 12, 9, 15, 0, -7]]\nB =\n[[-5, -10, 11, 1, 11, 13, -4, 6],\n [-8, 0, -11, 5, -15, 1, 8, 13],\n [5, -8, -6, 2, -1, 4, -3, 11],\n [14, -6, -7, -3, -13, 6, 11, 7],\n [-13, -15, -14, -5, -2, -6, -9, 7],\n [12, -15, 10, -9, -1, 10, -5, -10],\n [11, 6, -9, -9, -15, -6, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10059", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, 14, -8, 8, 3, -13, 7, -1],\n [-12, -10, 9, -6, 2, 0, 2, -10],\n [3, 1, 2, 14, -3, -9, 4, -4],\n [-14, 11, -4, -4, 8, -12, -12, 2],\n [0, -2, 1, 1, -13, -10, 7, -3],\n [-7, 5, -7, -8, 1, 0, 0, 11],\n [12, 3, 8, 0, 9, -2, 4, -2],\n [-2, -2, -4, -10, 4, -3, 0, 15]]\nB =\n[[-7, -14, 6, 11, 13, -13, -6, 4],\n [-14, 11, 8, -6, -8, 1, 10, 6],\n [-15, -10, -9, -1, 2, -7, -8, 9],\n [15, -6, 13, -12, 4, 12, -8, -15],\n [-8, 7, -4, 7, 9, -1, -3, 0],\n [10, 7, 15, 2, -15, 1, 0, 7],\n [-11, 4, 5, -6, 10, -10, -4, 15],\n [-6, 6, 1, -14, 3, 4, -10, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-944", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, 11, -3, -7, -4, 2, -8, 9],\n [2, 9, 7, 9, 6, -14, -8, -6],\n [15, -7, 12, 8, 2, 15, -8, 3],\n [-13, -7, -3, -7, 15, 9, 4, -4],\n [14, 7, -3, -8, -1, 15, 13, 15],\n [-3, 5, -3, 15, 15, 1, -1, 9],\n [6, 3, -13, -2, 14, -6, 1, 13]]\nB =\n[[-8, 2, -4, 1, 7, 14, -5],\n [-7, 6, 8, 8, 9, 7, 9],\n [-1, -7, -4, -5, 1, -10, 12],\n [-8, -6, 9, -1, -12, 13, 2],\n [-5, -7, -7, 12, -8, -13, 5],\n [2, -2, -13, 1, -12, 5, 12],\n [2, 15, -1, 3, 12, 6, -10],\n [-1, -9, -4, 0, -7, 4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1385", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 3) of the product matrix AB given:\nA =\n[[-5, -14, 6, 0, -12, -11, -9],\n [-10, 8, 6, -6, -2, -8, 13],\n [-2, -2, 4, 12, 7, -13, -15],\n [13, -7, -7, 6, 15, -14, 0],\n [-8, 10, -10, 7, -3, -15, 3],\n [-1, -15, -6, -15, 12, -4, -5],\n [13, 1, -12, 13, 7, -9, -4]]\nB =\n[[-3, -11, 12, -10, -14, 5, -9, -2],\n [9, 6, 12, -2, -6, -12, -13, 9],\n [7, 11, -2, 13, -10, 7, -1, -8],\n [-11, -13, -13, -3, -14, 8, -15, -4],\n [-8, 3, -7, 12, -2, 12, 11, 2],\n [-6, -7, -10, -15, -11, -6, 9, -3],\n [6, 7, -12, -15, 5, -14, 8, -12]]\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, 7, -4, 11, -14, -13],\n [-2, 9, -1, -3, -7, -14, 3],\n [0, -5, -4, 9, -15, -14, 0],\n [11, -14, 10, 14, 3, -6, 3],\n [-6, 0, -3, 0, 2, 8, -8],\n [8, 2, 15, -3, 9, 11, -9],\n [12, 5, 7, 8, 9, 2, -10],\n [-7, 13, -10, 2, 1, -4, -13]]\nB =\n[[11, -11, -9, -6, -6, 3, 9],\n [10, 12, -12, -6, 2, -13, 5],\n [-13, -11, 0, 4, -3, -5, 10],\n [-3, 3, 12, -10, 8, -3, 12],\n [-12, 9, 6, -11, 3, -11, 5],\n [-2, 15, 12, 12, -12, -4, -10],\n [3, -6, -15, 7, 7, 12, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-962", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, -7, 12, 2, 15, 13, 1, -1],\n [3, -9, 9, 2, -10, 3, 5, -4],\n [9, -13, -15, -11, -15, -8, -9, -1],\n [-5, 2, -2, 11, -7, -11, 7, -12],\n [-4, 13, -15, 14, 8, -3, -15, -13],\n [6, -8, 8, 2, 9, 0, 4, 4],\n [15, 14, 0, -14, 1, -6, -9, 11]]\nB =\n[[-6, 3, 4, 11, -7, 6, 14],\n [1, -7, -7, -11, 8, -9, -5],\n [-8, 9, -2, -14, -6, 5, 8],\n [0, 0, 3, 11, 15, -5, -10],\n [-10, -9, 0, -3, 11, -13, 8],\n [8, -7, 8, -13, -10, 9, 1],\n [-13, -14, -4, 8, -10, -6, -5],\n [0, 11, 0, 8, 2, 11, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "776", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 8, -7, 5, 11, 3, -14, 8],\n [-15, 10, 15, 0, 6, 2, -13, 8],\n [-15, -10, 3, 6, 3, -5, 11, -8],\n [-11, 4, -7, -1, 5, 12, -2, -12],\n [8, 8, -8, 4, 13, 1, -14, 4],\n [0, -6, -14, -5, -6, 14, 14, 3],\n [9, 15, 9, -2, 15, -5, -7, -9]]\nB =\n[[-1, 4, 1, -13, -1, -2, -8, -12],\n [10, -6, -14, -2, -8, 7, 11, -6],\n [9, 2, -1, -11, 6, -3, 2, 15],\n [-14, -3, 15, 14, -2, -6, 14, -12],\n [-1, -8, -1, -2, 15, 13, 11, 5],\n [-7, 4, -13, 10, -1, 8, 1, 9],\n [0, -12, -5, 9, -8, -13, 3, -2],\n [-7, -13, -12, 9, 12, -12, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9785", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 7) of the result:\nA =\n[[14, 0, 7, 6, 1, 14, -6],\n [8, 1, 0, 4, 6, -10, -9],\n [-2, -5, -4, -2, -11, -11, 4],\n [6, 7, 10, -1, 10, -15, 9],\n [15, 14, 8, 7, -7, -13, 10],\n [-12, 0, -9, 6, -2, 0, 13],\n [2, 0, 0, -14, -6, -9, 9],\n [11, -1, 12, -7, -9, 11, 8]]\nB =\n[[0, 10, -13, 1, 7, -8, -14],\n [15, 9, 4, 10, 11, 9, 13],\n [-13, -8, 11, -14, 15, 14, 3],\n [1, -11, 4, 13, 1, -6, -7],\n [6, -10, 14, -5, -14, 15, 14],\n [7, -4, -4, 15, 0, 9, 6],\n [11, 8, -4, 5, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "58", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 4) of the product matrix AB given:\nA =\n[[0, -12, -4, 1, -15, 6, 15, 2],\n [6, 0, -15, 11, -6, 3, 0, -2],\n [9, -14, 8, -10, 12, 6, 7, -11],\n [-4, 11, -12, 6, 8, -12, -11, -9],\n [-10, -3, -12, -3, -12, -6, 4, -15],\n [5, -8, -9, -11, -13, -1, 15, 11],\n [1, 13, 7, -3, -1, 11, 3, 4],\n [-2, 5, -3, 15, -4, 8, 13, 7]]\nB =\n[[-7, 11, -13, 14, -5, -6, -15],\n [1, 12, 10, -3, -2, -15, -14],\n [-14, -9, -7, 8, 15, -12, -14],\n [3, 10, -11, -7, 8, -3, -4],\n [14, 3, -7, -6, 3, -6, -4],\n [-2, -8, 0, 1, 4, -12, -10],\n [-4, 12, 2, -9, -11, -6, -10],\n [11, -2, -10, 14, -2, -4, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[11, 6, 10, -4, -8, -6, 0, 4],\n [10, -8, -7, -3, 13, 4, 1, 3],\n [1, -9, 12, -15, 11, 4, 13, -2],\n [1, -3, 13, -14, 11, 15, -2, -15],\n [13, -11, -9, 3, -2, 8, -2, -1],\n [-11, -11, 13, 5, 8, -14, 2, 15],\n [14, 12, 8, -7, 11, 12, -6, 10],\n [2, -12, -8, 2, 4, 10, 13, 13]]\nB =\n[[1, 0, 2, -9, -15, 12, -15],\n [2, -12, 7, 4, 5, 4, -12],\n [9, 15, -10, 12, -13, -10, -3],\n [7, -9, 8, 13, -12, -15, -10],\n [8, -11, -3, 3, -12, 8, -10],\n [-3, 15, 13, -11, -3, 9, -6],\n [-13, 7, 9, 11, -3, 11, -4],\n [-12, -6, 10, -13, 1, -7, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10832", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-15, 2, -7, 5, 4, 9, -7, -14],\n [3, 12, 0, -13, 0, 5, -3, -13],\n [-6, 6, 2, -10, -10, 2, -10, -10],\n [6, 12, -3, -2, 5, -9, -3, -1],\n [-4, 5, 11, -15, 12, 9, -13, 2],\n [10, 6, -8, -14, -12, 2, 12, 12],\n [9, 10, -3, -1, -14, -6, -14, 14],\n [13, 5, -4, -11, -4, 7, -15, 12]]\nB =\n[[-14, 11, 0, 11, 6, -14, 0],\n [4, 10, 0, -10, -3, -4, 7],\n [-6, -11, -8, -10, -11, 4, 6],\n [-10, 6, 1, -10, 1, -11, 7],\n [1, 13, 1, 13, -3, 15, 6],\n [15, -9, 6, 5, -10, 13, -2],\n [0, -13, -7, -1, 5, 2, 14],\n [14, 12, -6, -6, 7, -13, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10706", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-13, 9, -11, -9, -13, -12, 1],\n [-13, 7, -12, 15, -14, -2, -11],\n [15, 5, 15, -14, 15, -1, -5],\n [6, -6, 4, 14, -15, 3, -2],\n [9, 10, 7, 13, 6, -2, -15],\n [9, 13, -7, 1, -2, -3, -3],\n [15, -10, -9, -14, 10, -8, 8],\n [-10, 9, -13, 2, 2, 6, 7]]\nB =\n[[-10, -5, -13, 0, -11, 8, 6, -14],\n [-1, 0, -9, 0, 8, -12, 12, 0],\n [1, -14, 0, -12, -9, 2, -10, 2],\n [12, -9, -14, 3, -7, 13, 15, -12],\n [-2, -11, 9, -9, -8, -1, 11, 3],\n [11, -5, 4, 7, -12, 2, -2, 10],\n [-10, 9, 0, 2, -15, -8, -15, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "163", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 5, 13, 12, 9, 11, -6, 2],\n [-4, 12, 1, -15, -8, -6, 10, -6],\n [2, 13, -7, 9, -14, -13, -14, -10],\n [15, 7, -4, 6, 3, 12, -1, 3],\n [-4, 2, 0, -14, -5, -4, -11, 11],\n [11, 8, -10, 9, -5, 5, -6, -12],\n [-7, -4, -6, 11, -2, -11, -15, -11],\n [0, 15, -11, -11, 13, 2, 13, -10]]\nB =\n[[5, 2, 12, -6, -1, 15, 14, 8],\n [6, -5, 10, 12, 11, 3, 9, -3],\n [11, 11, 14, 4, -13, 0, -9, -4],\n [13, -1, 14, -8, 7, 1, -15, 13],\n [5, 15, 14, -8, -2, -6, 11, 3],\n [-8, 3, -12, -6, 7, -13, -12, 0],\n [8, -12, 9, 4, 13, 14, 4, -3],\n [5, 1, 7, 9, 0, 12, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10500", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, -10, -13, 4, 8, 15, -12, -8],\n [4, -7, 6, -15, -3, 10, -14, 7],\n [-6, 7, 3, 1, 8, -3, 13, 10],\n [-2, 11, 15, -5, -6, 15, -9, -6],\n [8, -15, -2, -13, -3, -14, 1, 5],\n [-13, 10, -1, -8, -10, 10, 14, -7],\n [9, -5, 6, -14, -7, 2, 3, 6],\n [2, -11, 2, -4, -12, -1, -5, 11]]\nB =\n[[3, -11, -10, -3, 7, -6, 8, 9],\n [-2, -12, 4, 7, -4, -1, 10, -6],\n [-5, -7, -5, -14, -3, 11, 6, 10],\n [10, -8, 13, 5, 5, -8, -15, -10],\n [10, -3, -7, 12, -10, -1, 7, 0],\n [-12, 12, 10, 1, -7, -4, 6, 3],\n [4, 10, -4, 6, -10, -4, -7, 4],\n [-11, 5, -13, -14, -8, -6, -1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-526", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -5, 13, -7, -2, -11, 11, -7],\n [-12, -14, 3, -15, 5, -15, -4, -5],\n [-15, -2, 11, -5, 13, -9, -14, -1],\n [-8, 6, 4, 9, -1, 10, -8, 13],\n [-6, 3, -13, 4, -2, -7, -7, 5],\n [12, 9, -10, -8, -5, -8, -4, -6],\n [15, 7, -12, 0, 4, -10, 14, -7],\n [7, -11, 5, 8, -10, 1, 1, 9]]\nB =\n[[8, 6, -3, 1, -2, -14, 10],\n [3, 10, 12, -13, -14, 12, -14],\n [6, -9, -12, 1, -10, -9, 4],\n [-10, -7, 4, 12, 15, 14, 10],\n [-12, 10, 12, -11, 3, -6, 2],\n [-1, 9, 13, -15, -11, -11, -8],\n [6, 6, 6, 4, -1, 1, 3],\n [13, -3, 15, 10, 12, 11, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "350", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -6, 1, -11, 2, 1, -12],\n [6, -9, 9, -11, -8, -8, -5],\n [-7, 3, 3, -7, 7, 15, 4],\n [15, 1, 0, -9, 10, 6, -13],\n [14, 5, 3, -8, -11, 10, 10],\n [-10, -14, 8, 9, 3, -3, 15],\n [-10, -10, -14, 10, 8, -11, -5],\n [-5, 8, -2, -3, 14, -8, -1]]\nB =\n[[-4, -13, 5, 7, -11, -10, -14],\n [-8, -11, 6, 1, 10, -14, -5],\n [-12, -5, -7, -10, 8, -14, 10],\n [-1, -11, 12, -4, -3, 1, -12],\n [-6, -15, -5, 0, -5, -7, -14],\n [-9, 3, 14, 2, 13, 4, -9],\n [7, -7, -4, 13, -13, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-885", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, 0, -9, 7, 10, -11, 9],\n [7, -9, 12, 14, 3, 1, 0],\n [14, 14, 5, 8, 5, 10, 3],\n [9, 2, 15, 3, 12, -12, 10],\n [-15, 11, -12, -12, -7, -8, -14],\n [13, 7, -10, 7, -5, -12, 14],\n [-2, 5, 6, -7, -14, 11, 9]]\nB =\n[[10, -15, -12, -4, -11, -7, 15],\n [6, -12, 0, -14, 0, 0, 5],\n [8, 8, 6, -5, -15, -1, 8],\n [-12, 15, 14, 2, 1, -9, 2],\n [-3, 4, 4, 13, -6, 15, -15],\n [-14, 1, 6, 13, -13, 1, -4],\n [8, 14, -4, 14, 4, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "733", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 2, 15, 6, -10, -9, 12, 1],\n [14, -4, 1, 15, 2, -2, -5, -14],\n [5, -15, -5, -14, 0, 6, -13, 4],\n [-15, 5, 4, -8, 3, 10, -15, 14],\n [13, 10, -11, 14, 15, -15, -5, 5],\n [-7, -11, -14, -3, 15, 2, 10, 9],\n [-4, -2, -11, 11, 8, -6, 4, -14],\n [-12, -4, -5, -12, -5, -7, -6, 11]]\nB =\n[[-10, -1, -6, 15, 6, 5, -10],\n [-15, 13, 5, 12, 6, 8, 4],\n [14, 5, -12, 7, 10, 6, -2],\n [4, 6, 13, 4, 12, -8, -5],\n [-1, 15, 3, -8, -3, 2, 6],\n [8, 1, -10, 9, -1, -3, 10],\n [10, 2, -5, -3, -15, 2, -11],\n [-10, -15, -9, 11, -12, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1339", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[15, 15, -10, 9, 1, 4, 2, 6],\n [15, -12, -7, -2, -13, -15, 11, 13],\n [-5, -15, -4, 9, -7, -11, -1, 2],\n [-7, -3, 12, -3, 8, -3, 11, -6],\n [-6, 6, -9, 12, 6, 15, 15, -11],\n [4, -9, 4, -6, -6, 10, 9, 5],\n [8, 12, -3, -1, 12, 12, -10, 4],\n [-4, 3, -5, -10, -15, -14, 7, -1]]\nB =\n[[-12, -11, -1, -5, -6, 1, -14, 4],\n [8, -6, 4, 14, -13, 3, 12, -11],\n [-13, -8, -11, 12, 14, -4, -2, -9],\n [-5, -8, -11, -8, -4, -1, 3, 0],\n [15, -2, 12, -9, -8, -9, 14, 2],\n [8, -10, 10, 3, -12, 7, -13, 1],\n [6, 3, 11, -1, 10, -10, 10, -4],\n [3, -10, -5, 4, 13, 4, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "335", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[0, 11, 2, -2, -12, 11, -4, 4],\n [11, 7, 5, -8, -9, 10, -7, 8],\n [15, 9, 1, -6, 13, 12, -13, 5],\n [9, -8, -2, 10, -9, 0, 2, 15],\n [-5, -10, 4, 5, -2, 5, -3, -12],\n [4, 15, 4, -5, 2, -15, -4, 2],\n [-9, -4, -15, 6, -12, 2, -1, 15],\n [-13, -9, -10, -1, -1, -10, -8, -8]]\nB =\n[[6, -15, 10, -3, 7, 8, 5, -3],\n [-5, -12, -9, 12, -4, 11, -3, 6],\n [-4, 0, -10, -2, 3, 0, 11, 10],\n [15, -12, -11, -7, 8, -13, 6, -6],\n [1, 3, -6, 14, -4, 7, -9, 2],\n [3, -1, -9, -4, 6, 13, -9, -6],\n [9, 8, 6, 12, 14, 4, 14, 13],\n [-6, 9, 7, -11, 2, -7, 14, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 9, 11, 9, -6, -11, -9, -11],\n [-1, 3, -6, -8, 8, -7, -5, 14],\n [12, 6, -14, -13, -3, -5, 12, -6],\n [11, -1, -10, -15, -2, 2, 8, -5],\n [-8, 6, -13, -2, -14, 13, 0, -10],\n [-15, -2, -6, -10, -7, -9, 9, -14],\n [-5, -2, -11, -7, -9, 9, -2, 11]]\nB =\n[[0, 6, 0, 15, -9, -6, 5, -10],\n [1, -15, -14, 11, -2, -12, 11, -7],\n [7, -10, 15, 1, 5, -5, 12, 13],\n [-12, 5, 11, -7, 12, 0, -13, -12],\n [8, -13, -3, 3, 13, 9, 5, 10],\n [-15, 7, 7, 15, -10, 6, -13, -13],\n [0, -6, 11, 9, 1, -9, -3, 12],\n [-5, -6, -9, 8, -10, 8, -15, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1799", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 2) of the result:\nA =\n[[9, -4, -12, -13, -10, 10, 12, 0],\n [-3, 12, -7, 10, -5, 4, 9, 15],\n [5, -3, 7, 3, -13, -4, 3, -8],\n [-2, 6, -7, 9, 8, 1, -10, -12],\n [-12, 3, -4, 9, -14, 1, 14, -1],\n [-6, -13, 13, 15, 4, -12, 6, -15],\n [-15, 2, -12, 7, 6, -1, 11, 9],\n [7, 12, 5, 6, -6, 9, 1, 11]]\nB =\n[[9, 6, -4, 4, -4, 0, -11],\n [13, 0, 1, 7, 13, 15, -1],\n [-3, -8, 11, 5, -14, -8, -6],\n [-9, -6, 9, -12, -5, -7, -12],\n [-13, 15, -5, -13, 10, 2, 10],\n [3, -2, 8, -5, 8, -14, 11],\n [-14, -14, -6, 7, -1, 6, -4],\n [-5, 1, 2, -2, 1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-145", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[11, 0, 7, -10, -14, -14, 0],\n [-14, -8, 14, -9, -15, -12, -5],\n [4, -9, 2, -12, 1, 13, 15],\n [13, -5, -5, 4, -5, -1, -2],\n [1, -14, 2, 0, -4, -6, 12],\n [0, -13, -8, 11, 6, 6, 9],\n [8, -14, 15, 6, -15, 13, -2]]\nB =\n[[9, -12, -12, -7, -13, -11, -15, 6],\n [3, -15, -6, 6, 14, -4, -6, -14],\n [0, -8, -2, 13, -1, 0, -5, -4],\n [-14, -12, 14, -13, -7, 2, 3, -9],\n [-12, -10, 3, -15, 0, -5, 6, -12],\n [2, 7, 15, 10, 13, 12, 15, 13],\n [-11, 6, -10, 14, 9, 12, -14, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2329", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -7, 12, 4, 13, -4, 13, -3],\n [11, 6, 7, 1, -11, 4, -3, 13],\n [-3, -6, -1, -1, 2, 2, -14, 7],\n [-5, -3, -5, -12, -1, 6, 7, 9],\n [-5, 2, 0, -6, -4, -3, -7, 11],\n [5, -3, -10, -10, -5, 3, 11, -5],\n [-6, 7, -1, -3, 7, -8, -11, -14]]\nB =\n[[0, 15, -3, 3, -7, -1, -10, -8],\n [8, -2, -11, 1, 6, -9, -7, 0],\n [2, 12, -3, 2, -6, -15, 5, 2],\n [3, -14, 11, -12, -5, -13, -7, -6],\n [12, -14, -9, -1, 11, 14, 3, -6],\n [8, 4, -2, -12, 9, -5, -13, 7],\n [1, -9, 10, -5, 2, 12, -2, -2],\n [-10, 15, 13, -7, 6, -13, 1, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1470", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-4, 15, -12, 4, 0, 13, 8],\n [-6, 10, 14, 13, -9, -6, -9],\n [7, 12, 2, -7, 6, 2, 1],\n [-5, -15, 1, -12, -12, -2, 12],\n [-7, -3, 12, 12, 0, -15, -13],\n [3, -8, 2, -10, 11, 4, 13],\n [10, -10, 13, -11, -4, -7, -7],\n [1, 3, 1, 6, 0, -4, -13]]\nB =\n[[-2, 1, 6, 0, 5, -4, 12],\n [8, 14, -14, -8, -4, 5, 0],\n [-8, 12, 0, -6, 4, -1, -12],\n [10, 15, -1, -12, 14, -5, 15],\n [-10, -12, -7, -7, -13, 7, 12],\n [-11, -1, 12, -7, -14, -13, 10],\n [5, -4, 0, -11, -6, 12, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -2, 7, -3, 0, 14, -8],\n [-8, 14, 1, 14, 1, -13, -15],\n [1, 10, 8, 0, 1, 9, -14],\n [9, -2, -9, 9, 3, -15, 1],\n [11, 15, -6, -10, -9, 9, -10],\n [-11, 14, -14, 2, 8, 15, 1],\n [8, 11, 10, 11, 7, -9, 5]]\nB =\n[[3, -9, 7, -9, 0, -4, -1, -1],\n [-5, -14, -13, 3, 4, 12, 9, 10],\n [-1, 0, -15, -1, 15, -4, -9, -9],\n [-5, 4, 13, -5, 1, -13, 0, -11],\n [12, -14, 7, 14, 10, 10, -9, 12],\n [-6, -11, -1, -4, -6, 15, 6, 1],\n [4, 4, -5, -8, -1, -14, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "834", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 5, 12, -3, 13, 13, -8, -5],\n [-1, -3, 2, 2, 9, 1, 6, -3],\n [13, -13, 15, 13, 5, 8, -9, 13],\n [-4, -12, 8, 11, 11, 10, -5, -2],\n [2, -9, -11, 0, -5, 6, -13, 0],\n [-5, -6, 7, 7, -14, 0, 1, -6],\n [2, -4, -8, 11, 10, -13, 11, 4],\n [8, -13, -10, -14, -13, 1, -7, -12]]\nB =\n[[6, 15, 7, -14, 8, 12, -7],\n [-2, 10, -5, -14, 5, -14, 11],\n [-11, -9, 6, -12, -2, -14, 7],\n [-4, -6, 9, -15, 3, 7, 0],\n [-1, -2, -7, 13, 5, 7, -1],\n [10, -9, -12, 5, 2, -8, -4],\n [-1, -1, 1, -14, -4, -13, -9],\n [-10, -2, 7, 11, -11, 14, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "768", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[15, -1, -9, -13, -3, -6, 7, -14],\n [-4, 12, 8, 12, 6, -4, 15, 3],\n [3, 5, -13, -10, -14, 8, -3, 11],\n [12, 11, -7, -3, 15, 7, -2, 3],\n [-5, -2, 0, -6, 4, 0, 12, 10],\n [-14, 9, 0, -2, 5, 12, 2, 10],\n [-10, -9, -3, -14, -1, 1, -3, -9],\n [-15, -13, 4, 2, -9, 5, 1, 12]]\nB =\n[[-4, 0, 8, -6, 7, 0, 4, 2],\n [-1, 7, -5, 2, -10, -15, 14, 7],\n [-9, -4, 4, -12, 15, -6, 5, -14],\n [-7, -6, 4, -5, 9, -2, -13, 9],\n [-15, -9, -12, -9, 0, 14, -6, -1],\n [0, -10, -12, -12, 8, 7, -12, 11],\n [6, 6, 1, -3, -14, 4, -10, 6],\n [-15, -8, 2, 13, 5, -12, -11, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9640", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -6, -8, 10, -9, -4, 14],\n [9, 12, -5, -3, -1, 1, 6],\n [6, 2, 11, -8, -10, -5, 13],\n [10, -7, 10, -11, -9, 6, 11],\n [-1, 5, 6, -12, 3, -3, -15],\n [-15, 6, -2, -7, 8, -4, 2],\n [-7, -8, 14, -2, 12, -7, 4]]\nB =\n[[9, -14, 13, -15, -3, 9, -6, -8],\n [-9, 14, 13, 8, -4, 1, 14, 9],\n [-4, 0, -6, 11, 9, 15, -4, -5],\n [9, 13, -2, 6, 4, -3, -14, 11],\n [4, -9, -15, 14, 9, -13, 13, 13],\n [4, -4, -11, -4, 13, -13, 4, -11],\n [12, -15, 0, 14, -7, -6, 13, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "224", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, 0, 14, 4, 13, 9, -12, -2],\n [1, 12, -11, -3, 9, -13, -11, 0],\n [3, 12, 3, 1, 2, 2, 9, 7],\n [-8, 2, -7, 13, 3, -6, 13, -14],\n [12, 1, 9, 8, -3, 15, 12, -5],\n [0, 4, -9, 12, 14, -13, 0, 3],\n [4, 0, -14, -2, 10, 4, -6, 3],\n [8, -5, 2, -5, -7, 3, 4, 13]]\nB =\n[[-6, 14, 15, 10, 15, 15, -13],\n [-13, 8, -8, 13, 13, -10, 4],\n [-15, 4, 8, -10, -14, 3, 12],\n [-9, -5, -5, -12, 4, 15, 0],\n [15, -11, 8, 14, 14, -9, 9],\n [0, -1, -11, -15, 4, 6, 6],\n [-7, 10, 13, 5, -11, 6, 11],\n [-10, -13, -10, -8, 12, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2529", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, 0, 11, 5, -13, 1, 5],\n [-10, 14, -10, 14, 6, 3, 15],\n [4, -1, 3, -14, -8, -9, 11],\n [-8, -3, 6, 11, -1, -4, -1],\n [-2, -9, 1, 10, -11, 4, -6],\n [3, 2, 14, 14, 9, 8, -6],\n [15, -14, -10, -13, 3, -11, -9],\n [-9, 11, -6, -15, -5, 7, -9]]\nB =\n[[-10, -10, -3, 0, -3, -14, 3],\n [3, 13, 3, 2, 9, -10, -14],\n [3, 10, -10, 4, 7, 6, -1],\n [-10, 12, -13, -5, -8, 9, 6],\n [2, 1, 3, 3, 8, 5, 1],\n [11, -12, -9, -11, 10, 15, 13],\n [0, -10, -2, 10, 4, -14, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-599", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, 2, 2, -3, 12, 2, 1],\n [-3, 12, -4, -13, 6, -9, -15],\n [14, -11, 5, -15, -12, 10, -15],\n [-3, -2, -1, 1, -4, 15, -9],\n [7, 3, 7, -13, 2, 10, 15],\n [-12, 14, 10, -13, -4, 7, 12],\n [-4, 1, -10, -1, 14, -14, -8]]\nB =\n[[-2, -11, -13, -6, -9, 14, -5, 15],\n [-1, -14, -11, -5, -8, -3, -5, 1],\n [-1, -15, 3, 0, 3, -3, 7, 6],\n [7, -12, -5, 2, 2, -6, 1, 14],\n [-3, 14, 9, -2, 14, -9, -6, -13],\n [-14, 14, 3, -9, -11, 12, -13, 9],\n [-14, 7, 15, 10, 6, -10, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1473", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, -14, -5, 5, -13, -7, -8],\n [10, -5, 2, 15, -15, -1, -12],\n [-12, 12, -6, -5, 2, 7, 13],\n [-1, -13, -9, -9, 1, 6, 4],\n [11, 8, 0, 0, -8, -13, 4],\n [-1, -15, -6, -14, -9, 15, -2],\n [0, 11, 12, -1, -9, -3, 9],\n [-6, -7, -7, -10, 8, 9, -4]]\nB =\n[[14, 7, 4, 14, 4, 6, -2, 11],\n [4, 11, -9, -8, -8, 14, -8, -14],\n [-2, -6, 2, 2, 2, 0, 4, -11],\n [4, 15, -11, 4, 7, -6, 1, 14],\n [-3, 1, 2, -3, 1, 12, -1, 10],\n [-4, 12, -6, -3, 14, -5, -13, 6],\n [-6, -5, -10, -15, -10, -11, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-430", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, -4, -9, -14, 12, -15, 14, 7],\n [9, 2, -4, -9, 3, 6, -13, 13],\n [-6, 13, 11, 11, -5, -11, 15, -14],\n [-8, -2, -8, 7, -10, -15, 8, -15],\n [-8, -5, 2, 8, -6, -4, 4, 7],\n [0, -11, 0, 8, -4, 15, -10, 14],\n [15, -11, -15, 3, -6, 9, 15, -2]]\nB =\n[[9, 5, -13, -10, -11, 15, 1],\n [2, -4, -11, 14, -7, -4, 4],\n [-7, -13, -15, 6, -1, -6, -2],\n [-9, -12, 10, -11, 4, 0, -13],\n [1, -3, -10, 10, -11, 0, -5],\n [1, -11, -10, -6, 5, -15, 14],\n [5, -6, 1, 11, -13, 12, 13],\n [-14, 13, 1, -12, -14, -11, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "628", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-15, 12, 10, -15, 11, 10, -12, -9],\n [-2, -2, 2, -14, -15, 5, 6, 0],\n [13, 6, 2, 0, 12, 12, 7, 6],\n [8, -10, 9, -6, -14, -9, 5, 1],\n [-13, 4, -4, -14, -9, 1, 3, -4],\n [-7, 11, -2, -14, 5, -12, 12, 3],\n [5, 0, 6, 1, -14, 1, 3, -8]]\nB =\n[[8, 4, -10, -4, 9, 14, 7],\n [2, 11, -14, 3, 8, -6, 15],\n [9, 13, 14, -13, 9, 12, -4],\n [10, 0, -4, -8, -11, -5, -6],\n [-13, 11, 7, -7, -4, -10, 3],\n [0, 5, 7, 8, 13, -2, 12],\n [-12, 2, -6, 2, -4, 3, -8],\n [-15, -2, 7, -10, -2, -14, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3076", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[13, -4, -11, -14, 3, -9, -9, -6],\n [1, 15, 10, -2, 11, -5, 12, 4],\n [-10, -8, 3, 14, 3, 8, 8, 8],\n [1, 8, 8, 2, -4, -7, 7, 8],\n [0, 2, 0, 0, -12, 7, 6, -9],\n [-15, 8, 13, 7, 13, 4, -15, 15],\n [-8, 10, 7, -8, -6, -15, 5, 9]]\nB =\n[[5, 13, -2, -2, -6, 12, 3],\n [9, 13, 0, -7, 4, 0, 4],\n [11, -8, -9, -5, 5, -10, -1],\n [3, -2, -1, -10, 13, 8, -6],\n [-2, 0, -3, -5, 9, -13, -8],\n [12, -13, -14, 5, -2, 4, 13],\n [5, 6, -1, -13, -15, -1, 4],\n [6, -14, 2, -15, -7, -13, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10362", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-12, 0, 6, -15, -7, 9, -8, -10],\n [4, 2, 0, -8, 7, 12, 14, -12],\n [-13, -1, -10, 15, 15, -15, 2, 7],\n [-5, -13, 14, -3, 1, 2, 10, 10],\n [-2, 9, -9, -9, -2, 10, 8, -1],\n [-4, -4, -8, 0, -7, -14, -2, 8],\n [8, 13, 0, -11, -11, 4, 14, 5],\n [2, 2, -11, -5, -3, -13, 1, 9]]\nB =\n[[2, -2, -4, -2, 10, 2, 14, 4],\n [-14, -9, -1, 12, -6, -1, 1, -5],\n [-14, 11, 5, 15, 2, 9, -12, -7],\n [11, 12, 1, 1, 1, 14, 0, 4],\n [9, -8, 7, -1, -15, 3, 9, -1],\n [-7, -11, 0, 12, -3, 0, 6, -5],\n [-3, -10, 10, 4, 1, -11, 13, 1],\n [-15, 11, -11, -11, -9, 0, 2, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12240", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -14, 15, -3, -6, 5, 4, -5],\n [10, 5, -14, -8, 8, 6, 3, 4],\n [1, 0, 9, -6, -11, -2, 8, 3],\n [-12, 4, 0, 8, -1, 12, -7, -13],\n [7, -7, 2, -12, 3, 8, -12, -7],\n [-15, -15, 4, 3, -13, -6, -4, 2],\n [-2, -6, -6, 2, 8, -15, 14, -1],\n [-8, 10, -13, 2, -7, 0, 5, -1]]\nB =\n[[14, -11, -3, 6, 4, -9, 0, -9],\n [11, 9, 6, 0, -3, 1, -7, -4],\n [-3, 10, -7, -11, -9, -15, -12, 12],\n [10, -12, 0, -11, 6, -12, -10, 10],\n [7, -13, 9, -8, 1, 13, 2, 2],\n [10, 9, -4, 9, 9, -15, 7, 15],\n [-4, -5, -3, -13, 11, 9, -8, -13],\n [1, 9, -3, -6, 1, 15, -13, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "73", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -10, -2, 11, -6, 4, 0, 2],\n [-3, -6, -10, -6, -11, 13, -10, -9],\n [-5, 0, 9, -4, -4, 14, 7, 4],\n [10, -11, 0, 15, 13, -10, 13, -7],\n [-11, 5, 7, 0, 2, 3, -4, -14],\n [10, -6, -4, -2, 2, 3, -10, -11],\n [11, 15, 0, -2, -3, 5, -14, -14]]\nB =\n[[-4, -15, 3, 12, 12, 11, 0, 14],\n [-9, 11, 5, -9, 0, 9, -10, 2],\n [-15, -15, 10, 9, -2, -10, -10, -12],\n [-4, 14, 2, -6, -13, -13, -8, 6],\n [7, 9, -15, 2, -1, 9, 5, 4],\n [1, 9, -5, -3, 9, 4, 9, -6],\n [-3, 1, 15, 5, -15, 4, 0, 0],\n [12, 5, 14, 11, -13, -14, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9433", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 6) when matrix A is multiplied by matrix B?\nA =\n[[13, -13, 10, -15, -5, -3, -11, 2],\n [-1, 2, -1, 4, 4, 4, -9, 1],\n [13, -8, 12, -3, 10, 0, 9, -6],\n [13, -2, 15, -10, 4, 6, 10, -9],\n [-10, 11, 1, 5, 8, 15, -8, -4],\n [10, 9, -12, -6, -10, -9, 5, 15],\n [11, -8, -13, -8, -1, 14, 5, -15]]\nB =\n[[-3, 6, 2, -1, -9, 15, -1],\n [9, -13, 14, 10, -2, 4, -12],\n [-12, -13, -11, 9, 15, -5, -8],\n [10, -14, 12, 0, 9, 12, -6],\n [2, -9, -11, 15, 13, -9, 5],\n [12, -10, 8, -15, 13, -5, -3],\n [-4, -15, 5, -1, -15, -13, 10],\n [-1, -7, -2, 13, 7, 12, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-204", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[8, -8, 6, -12, 4, 4, -10, -15],\n [12, 2, -10, 14, -2, -5, 1, -7],\n [12, 6, -9, -2, 12, 1, -8, 12],\n [0, -4, -4, 12, 12, -11, -11, -2],\n [-10, -9, 7, 5, 1, 11, -7, 15],\n [6, -3, -7, 11, 0, -12, -14, -3],\n [-3, 3, -4, -12, -6, 0, 12, 8],\n [3, -8, -10, -12, 14, -9, 15, -2]]\nB =\n[[11, -3, 5, -11, -7, 13, -13],\n [-6, -1, 4, 5, 1, 7, 8],\n [15, -10, 9, -13, 2, -11, -3],\n [9, 11, -15, 1, 10, -13, 10],\n [3, 5, 4, 6, -4, -8, -8],\n [-1, -5, 4, -15, 13, 0, 14],\n [-2, -9, -10, 5, -12, 6, -8],\n [6, 3, 9, -13, -12, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-333", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[11, -14, -5, 0, -6, -1, 11],\n [-6, -14, -10, 15, -2, -14, -6],\n [1, -8, 10, 0, -2, -6, -3],\n [-15, -6, 14, 6, -4, 14, 1],\n [8, -2, -11, 3, -11, -1, -3],\n [1, -15, 12, -2, -12, 9, 14],\n [-7, 1, -13, -3, -4, 0, -12],\n [2, 7, -13, 1, -15, 3, 6]]\nB =\n[[-12, 1, -9, -14, -4, -11, 0, -8],\n [7, 11, 12, -8, -3, 10, -2, -5],\n [-10, 0, 7, 9, 6, 9, -1, 0],\n [-3, -4, 2, 13, 2, -2, -14, 6],\n [-14, -13, 13, 8, -8, -5, -4, -12],\n [-7, 8, 1, 8, 0, 1, -1, 4],\n [10, 6, -9, -6, 13, -12, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9977", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 7) of the product matrix AB given:\nA =\n[[-2, -2, -2, 9, -2, 6, 4],\n [2, -1, 7, 10, 3, 11, -3],\n [-4, 3, 3, 4, -14, 13, 13],\n [5, -13, -6, -11, -4, 13, -9],\n [-7, -14, 9, -6, -10, -4, -10],\n [11, -13, 14, -6, 13, -7, 4],\n [-11, -13, -11, -8, -8, -2, 8]]\nB =\n[[6, 15, 15, 1, -5, 10, 0],\n [12, -10, 12, -5, -6, 7, 14],\n [-7, 12, 8, 11, 12, 8, -1],\n [-9, 2, -15, -1, -14, 15, 6],\n [13, -14, -6, 4, -1, -6, 3],\n [6, 12, 12, -3, 14, 8, -5],\n [6, -14, 5, 11, -3, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-400", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[6, 10, 5, -15, 10, -11, 5],\n [6, -9, -3, -3, 4, 7, 5],\n [-10, 4, -4, -8, -7, 2, 12],\n [-5, 4, -5, 8, 8, -1, -7],\n [-13, 1, 9, 1, -13, 3, -7],\n [15, 1, 7, 2, 7, 15, -1],\n [-15, 13, 10, -6, -8, -6, 13]]\nB =\n[[10, -14, 3, -2, -8, 3, -15, 0],\n [9, 8, -1, 4, 8, 14, -11, -13],\n [1, 13, -6, -11, -5, -10, -12, -9],\n [3, -9, -2, 1, 7, 1, -3, 11],\n [-15, -14, 2, -12, -3, -15, -12, -14],\n [-12, 0, -12, 9, -7, 1, 5, 7],\n [4, 12, 5, -14, -13, 7, 10, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-1, -9, -12, -4, -15, 1, -12, -12],\n [6, 7, 9, -7, 10, 12, 15, 12],\n [5, -6, 11, 3, 3, -1, 6, 1],\n [-9, -13, -11, 0, 7, -9, 0, -7],\n [-15, -13, 9, -8, 2, 8, 8, 2],\n [8, 3, -9, 13, 9, 4, 15, 11],\n [-10, 9, 11, -5, -11, -4, -15, 3],\n [-5, -1, 9, 0, -13, -5, -5, -6]]\nB =\n[[-14, 4, -11, 7, 7, 9, 13, -8],\n [-3, -1, -14, -4, 8, -8, 5, 15],\n [13, 3, 9, 12, 7, -15, -8, -6],\n [-3, -11, 6, -7, -6, 15, -2, 8],\n [14, -5, -2, 14, -13, 13, 5, 0],\n [4, 14, 1, -11, 10, -9, 1, 4],\n [6, -5, -4, 9, 11, 8, -14, 11],\n [3, 10, 13, -11, -5, 7, 3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11028", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 5, 10, 6, -10, -5, 11, -2],\n [12, -12, 12, -8, -7, -14, 9, -5],\n [12, 4, 6, 14, -9, -12, 8, 13],\n [-2, 10, 8, -15, 8, 10, 14, -4],\n [3, -11, 14, 10, -8, -5, 6, -12],\n [-1, 4, -4, 4, 6, 7, 13, 5],\n [-6, 14, 8, 0, 7, -8, 15, 4]]\nB =\n[[-8, 13, -10, -13, 13, -8, 13, 7],\n [-6, -11, -5, -12, 1, 10, -13, 2],\n [-8, 14, 8, -4, 5, 0, -2, 5],\n [0, 15, 11, -12, -15, -15, 13, 6],\n [-1, 4, 4, -13, -2, -7, 3, -8],\n [-14, -12, -15, -5, -11, -14, 11, -3],\n [1, 1, 2, 5, 12, 15, 15, -7],\n [-10, 12, 4, 15, -13, -8, -13, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5925", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (8, 5) of the product matrix AB given:\nA =\n[[4, 11, -3, 5, -11, 0, 5],\n [8, 0, 8, -4, -3, -12, 15],\n [-7, 0, -15, -11, 5, -11, 8],\n [9, 3, -7, 13, 11, -8, 3],\n [2, -1, -12, -1, -3, 12, 2],\n [4, -11, 2, 12, -8, -15, 3],\n [7, 10, 1, 13, 11, 15, -14],\n [3, 14, 0, 14, 2, -14, 12]]\nB =\n[[11, -10, -9, -10, 11, -10, 15],\n [-7, -8, 14, 8, 6, 5, -7],\n [-4, 2, 7, -10, 7, 12, -12],\n [9, -9, 2, 13, 4, -11, 2],\n [-6, -8, -15, -1, -13, -1, -2],\n [-15, 15, 5, -8, -9, -7, 2],\n [-4, -8, -8, 14, -10, -13, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -8, -10, -12, -11, 5, -3],\n [-7, -3, 13, -7, 8, 8, 0],\n [-4, -14, 14, 3, 14, 0, 8],\n [-3, -11, 7, 14, 8, -10, 15],\n [5, 8, 1, 1, 1, -13, 10],\n [-3, -4, -10, 6, 5, 13, -3],\n [-2, -9, -11, -2, 2, -12, -15],\n [-9, 4, -3, -12, -3, -12, -13]]\nB =\n[[-8, 4, -8, 9, 1, -1, -12],\n [-10, 8, 14, 6, 12, -10, -6],\n [-12, -7, 0, -9, -2, 11, -10],\n [-15, 2, -4, 6, 11, -1, -15],\n [-1, -1, 11, 0, 5, -15, 13],\n [-13, -4, 12, 12, -9, -11, 15],\n [12, 15, 10, -15, -15, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9586", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 7) of the result:\nA =\n[[-5, -2, 13, 9, 7, -3, 3, -4],\n [6, 3, 10, -12, 12, -12, -13, 10],\n [-10, -11, -5, 9, -7, -13, 13, -7],\n [13, -4, -13, 4, 1, 5, -4, 9],\n [15, 2, -12, -6, 2, 14, -8, -7],\n [3, -3, 15, 9, -10, 6, -9, 12],\n [5, -10, -5, 1, 3, 12, 9, -4],\n [5, 5, 8, 11, 11, -3, 2, 13]]\nB =\n[[-9, 9, 7, 12, -11, 13, 0, 6],\n [-12, 14, 12, 7, -15, -12, -13, 13],\n [-12, -15, -4, -3, -14, 12, 11, 13],\n [-7, 15, -9, -3, 6, -14, -15, 2],\n [-9, 2, 3, -8, 7, -4, -5, 11],\n [14, 11, -7, 12, -12, -9, 1, -5],\n [11, -14, 7, 15, 2, 6, 13, 10],\n [-4, -7, -5, -11, 10, -9, 13, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 9, 15, 13, -11, -10, -3, -5],\n [-8, 4, -14, -1, -6, -8, -14, 5],\n [-1, 13, -10, -11, 6, 6, -13, -5],\n [-5, 0, -13, -7, -13, 3, -5, -2],\n [-14, -9, -6, -6, 4, -15, -10, 5],\n [-2, 11, -14, -10, -15, -13, -12, -3],\n [-13, -1, -3, 6, -5, -12, 14, 1]]\nB =\n[[-11, 5, 9, 8, 15, -8, 5, 8],\n [14, -6, -9, 1, 12, -9, 11, 8],\n [3, -7, 8, -14, 6, 4, 3, 11],\n [-10, -6, -3, 15, 9, -14, -6, -6],\n [10, -11, 6, -12, 7, -14, -9, 2],\n [1, -5, 5, 2, -8, 12, 12, -4],\n [8, -15, 4, 14, 9, 5, -4, 11],\n [10, 13, -10, -13, -11, -2, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1976", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 13, 1, 8, 11, -1, -10, -4],\n [-14, -12, 4, 9, 9, 5, -4, -13],\n [1, -10, 8, 1, 11, 1, 15, -5],\n [7, -9, -14, 3, -14, 6, 13, -3],\n [8, 8, 0, 15, 1, -5, -7, 11],\n [8, -7, 13, -2, -3, 9, -5, -4],\n [6, -13, -15, 11, -8, 10, 3, -3],\n [-9, -3, 10, -10, -13, -10, 12, -13]]\nB =\n[[-3, 15, -3, 14, 9, -3, -15],\n [13, -8, -11, 15, 4, 1, -7],\n [-3, 9, -3, -11, -2, -5, 9],\n [15, 10, -2, 9, -9, 8, 1],\n [-12, -6, -6, -1, 4, -4, -7],\n [-13, -1, -4, 10, -1, 10, -15],\n [-1, -5, -11, -9, -4, 4, 9],\n [-10, 6, -13, -6, 10, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "528", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[6, 14, -12, -3, 3, -11, 7, 11],\n [6, 2, -15, 5, 5, 12, 0, 0],\n [0, 12, 6, 3, 0, -15, 15, 4],\n [4, -6, -14, -2, -8, -10, 12, -13],\n [15, 0, 1, -4, 11, 3, 8, 4],\n [-13, -3, 0, -5, 4, 11, 0, 15],\n [4, -14, -12, 11, 12, 9, -12, 12],\n [1, -15, -15, 14, -11, 6, -4, -10]]\nB =\n[[-10, 9, 1, 10, 6, -3, -8, 8],\n [-4, -1, 15, 3, 13, 5, 10, 4],\n [12, 1, -7, 5, 2, 12, -14, -5],\n [7, 4, 1, 5, 2, -1, -9, 0],\n [15, 9, 13, -15, 12, 2, 11, 6],\n [-8, -9, 9, 14, -14, -4, 0, -7],\n [4, -5, -1, -13, 7, 5, -3, 5],\n [12, -3, -14, -10, -10, -4, -12, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-364", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, 14, -8, -10, 5, 12, -13],\n [7, -8, 3, 5, -5, 2, -6],\n [10, 12, 4, -4, 4, 12, 13],\n [-8, 3, 5, 0, 11, 5, 2],\n [-7, -12, -7, 9, -14, -7, -7],\n [2, -5, -3, -10, -7, 0, -12],\n [-14, -9, -1, 9, -10, -5, 11]]\nB =\n[[14, 4, 1, -12, 3, -9, -5],\n [-3, 11, 10, 5, 12, -13, -2],\n [-14, 13, 2, -11, -3, -3, 8],\n [8, -2, -4, 5, -3, 2, -3],\n [-12, 7, 14, 6, -6, 7, -11],\n [2, -8, -2, 12, -14, 12, -8],\n [0, 15, -9, -13, 13, -12, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "502", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -12, -7, 7, 1, 1, 15, 4],\n [-2, -2, 13, 9, -3, -12, -3, 5],\n [1, -1, 14, 2, -5, -12, 12, 4],\n [-5, -6, 6, -3, 6, -8, 12, -3],\n [-7, 14, -15, -15, -1, 6, -12, 11],\n [4, -15, 9, -4, -5, 3, -1, 5],\n [-6, -15, 8, -13, -2, -1, -15, -6],\n [6, -15, 15, -1, -13, 5, 4, 7]]\nB =\n[[6, -4, 3, 0, 11, -8, 8],\n [-2, 2, 7, 14, -15, -14, 8],\n [-4, 1, -14, 12, 1, 5, -9],\n [-10, -10, 6, -8, -11, -1, 10],\n [-9, -13, 9, -6, -13, 14, -2],\n [6, -13, -15, -15, 3, -12, 14],\n [-14, 9, 15, -5, 8, -4, -3],\n [0, 0, 3, 7, 4, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1509", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 8) when matrix A is multiplied by matrix B?\nA =\n[[-7, 0, 11, -9, -3, -12, -3],\n [-8, -14, -9, -5, 1, 8, 13],\n [-2, 12, 14, -3, -1, 6, 12],\n [5, 9, -7, -13, 9, -3, 15],\n [-3, -7, 2, -11, -5, -14, 1],\n [7, 4, 5, -12, 6, 11, 2],\n [8, 4, -8, 3, -4, 12, -5],\n [0, -11, 12, -13, -4, -1, 0]]\nB =\n[[-3, -9, -1, -13, 15, -4, -8, 9],\n [13, -4, 2, -13, -4, 13, 7, 5],\n [10, 7, -14, -2, -2, -12, 1, -1],\n [0, -11, 8, 1, 7, -9, 7, -1],\n [1, -4, -5, 3, -5, -14, 15, -1],\n [-11, 2, 13, 14, 5, 5, 0, -12],\n [11, 7, -6, 6, -14, -1, -12, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 7) when matrix A is multiplied by matrix B?\nA =\n[[0, 14, 11, -9, 9, 9, -4],\n [-13, 1, -7, -8, 7, -10, 14],\n [-1, -6, 7, 11, 9, -10, -1],\n [14, -2, 10, 3, -3, -2, -13],\n [-12, 10, 13, -2, 15, -2, 10],\n [-8, -6, -7, -2, -8, -5, -6],\n [2, -12, -12, -4, 2, 13, -8],\n [-13, 2, -9, 15, -15, 15, 6]]\nB =\n[[-3, 13, -13, 13, -13, -1, 5, 14],\n [3, 12, -12, -3, -3, -1, 3, 0],\n [-9, -13, 14, 10, 4, -14, 2, 9],\n [-5, -15, 0, 1, 0, -6, 1, 14],\n [-13, 2, 3, -2, 5, 9, -14, -4],\n [-5, 15, 14, 1, 11, -10, 3, -3],\n [-9, 6, -5, -9, -3, -3, 5, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[14, 3, 3, 7, -1, -2, 13, -13],\n [11, 5, 4, -12, 13, -9, -15, 7],\n [15, 8, 3, 15, -13, 4, -1, -3],\n [6, -2, -9, -15, 15, -3, -12, -4],\n [-9, 11, -14, 1, -15, 10, -2, 14],\n [6, 12, 5, -15, 10, -13, 15, -5],\n [-9, 12, 9, 13, -7, 15, 6, -13]]\nB =\n[[-15, 3, 10, -14, 11, 5, 8, -11],\n [1, 3, 12, -11, 7, 5, -2, -6],\n [5, -9, 13, 15, -8, 14, -8, -9],\n [-3, -2, 3, -5, -14, 1, -10, 13],\n [-7, 3, -11, -7, 14, 14, 9, -9],\n [14, -12, 11, 2, 2, 4, 1, 14],\n [-12, 12, 14, 11, 6, 0, 6, 7],\n [-11, -7, -14, -14, -12, 15, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1309", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, 4, 12, 5, 9, 3, 15],\n [-13, 14, -11, -6, -10, -13, 1],\n [-6, 8, -4, -15, 2, 3, 6],\n [4, -12, -1, -7, -10, -4, 2],\n [7, -1, 13, 3, -7, 6, 8],\n [-3, 0, -3, -15, 2, 6, -13],\n [1, 6, -11, 13, 9, -10, 5],\n [1, 15, 1, 11, -15, -9, 6]]\nB =\n[[14, 0, -11, 0, -12, -5, -2, 13],\n [-3, 11, 8, 11, -8, 5, 15, 4],\n [-1, 2, -9, 5, 3, 9, -7, -5],\n [15, 11, -6, -2, 0, 11, -8, -15],\n [-4, -13, -14, 0, -12, -14, -4, 11],\n [8, 1, 4, 5, 14, -6, 4, -8],\n [2, 9, 2, 2, 13, -14, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "303", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, 3, -6, -5, -2, 10, -1],\n [14, 8, 7, -6, -12, -9, -5],\n [8, 6, 6, -13, -11, 10, -14],\n [-4, 5, -11, -9, -12, 14, -5],\n [6, -7, -12, 11, 14, 6, 13],\n [12, -7, 10, -4, 0, -15, -8],\n [-15, 4, 3, -12, -2, 7, 13]]\nB =\n[[-2, -7, -7, 10, 1, -1, -6],\n [1, -7, -12, 12, 13, -2, -13],\n [13, 9, 5, -4, 6, -15, -15],\n [-3, -2, 0, -9, -6, -1, -8],\n [-5, 8, -2, -3, 7, -3, 11],\n [-7, 1, 2, 13, 3, -3, -4],\n [13, 5, 4, 4, 15, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -9, -15, -6, -1, -12, -15, -5],\n [14, -11, 3, 3, -12, -14, -9, 12],\n [-3, 4, 5, -4, 14, -14, 6, -7],\n [0, -8, 8, 2, 15, -12, 8, -5],\n [1, -8, 3, -8, -10, 7, -14, -1],\n [-15, -10, 12, 3, -12, -3, -1, -7],\n [-13, -14, 0, 2, 2, -10, 2, -5],\n [-9, 7, 7, -2, 13, 2, -9, -6]]\nB =\n[[-8, 8, -2, 2, -11, -2, 6],\n [9, 6, 10, 6, -6, 10, -1],\n [-10, -7, -6, 7, 1, -15, -2],\n [-12, 15, 12, -14, -13, 12, -9],\n [14, 7, -2, -4, 3, 13, 2],\n [-1, 13, 13, -15, 9, 10, -13],\n [9, -1, 15, -12, -1, -6, -10],\n [-3, -9, 10, 14, 6, -15, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10285", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -2, -10, -11, 3, 10, 3, 11],\n [10, -3, -9, -8, -2, 3, 3, 7],\n [10, -4, 7, 11, -7, -2, -10, -1],\n [-3, -9, -5, -6, -15, -9, 2, 7],\n [-13, -7, 13, -11, 7, 8, -3, 0],\n [0, -4, 2, -5, 1, -9, -1, -10],\n [-10, 2, 3, 4, 3, -14, -13, -2],\n [6, 9, -12, 6, 1, 12, -10, 12]]\nB =\n[[3, -7, -12, -9, -12, -5, 6],\n [14, 7, -14, -6, -10, -8, -1],\n [-3, 13, 15, 12, 6, -14, 4],\n [-15, -1, -9, 8, 10, 2, -6],\n [-1, -11, 11, 8, -5, -8, 15],\n [5, -8, 14, -10, -1, -1, -11],\n [-3, -2, -5, 4, 5, -4, 4],\n [-15, -13, -8, 7, -4, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-327", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 8) when matrix A is multiplied by matrix B?\nA =\n[[11, -13, 9, 15, 6, -8, 8, 3],\n [4, 14, -10, 2, 12, 12, -5, -4],\n [7, -14, 11, -11, 12, -12, -7, -3],\n [-3, -1, -14, 7, -3, -9, 7, 1],\n [-8, 2, -1, -1, -11, -14, 0, 13],\n [-11, 7, -10, 13, 15, -4, -11, 4],\n [-8, -5, -2, 8, 1, -6, -14, -13],\n [-3, 1, 11, -13, -6, 12, -8, -12]]\nB =\n[[-3, 13, -9, -9, 0, 11, -11, 12],\n [1, -6, -12, 7, -2, -11, -14, -2],\n [8, 2, 11, 8, 13, -5, 0, 2],\n [11, 0, 5, -12, -15, -2, -4, 8],\n [-6, 12, 3, 13, -12, 4, 5, -13],\n [9, -12, 14, 10, -1, -5, 0, 11],\n [-12, -10, 15, -8, -3, 7, 4, -12],\n [-11, -6, -11, -4, -15, 13, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-140", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[13, -11, 3, 3, 4, -4, 7, 0],\n [-11, 1, -2, -4, -3, 5, -2, -11],\n [6, 14, 7, -11, 15, 13, 11, 14],\n [2, -2, 2, 13, 4, -15, -9, 13],\n [1, -13, -6, -9, 11, 12, -4, 6],\n [15, -1, 7, 5, 0, -8, -10, 12],\n [-12, 14, -5, 1, -14, 12, -10, -12],\n [-13, -9, -9, 0, -14, -8, -1, 15]]\nB =\n[[11, 0, -15, 11, -6, -9, 0, -6],\n [-4, 1, -3, -4, -1, -2, 3, 3],\n [10, -2, 2, 14, 10, 13, -11, 4],\n [13, -10, 2, -2, -12, 12, 7, -15],\n [-3, -5, -13, 1, 2, 9, -6, 0],\n [5, -3, 4, -4, -12, -8, -4, 3],\n [-1, 12, 0, -4, 4, 2, 6, -4],\n [0, 9, 12, 4, -5, 6, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the product of the following matrices:\nA =\n[[-14, -3, -2, -10, -4, -9, -12, 12],\n [11, -9, -3, -5, -8, 11, 3, 15],\n [-14, 5, 2, 10, 5, -6, 15, 13],\n [-10, 8, 6, -12, 3, -2, -2, 2],\n [13, 1, 2, 2, 15, -11, -7, -15],\n [-12, 10, -9, -5, -2, -6, 3, -8],\n [-13, -8, 13, 2, -11, 4, -5, -7],\n [3, -4, 11, -11, 0, 10, 9, -3]]\nB =\n[[-10, 0, 2, 1, -4, 11, -15],\n [-9, -2, 12, 2, 7, -15, 4],\n [-6, 15, -1, 13, -5, -12, -1],\n [5, 14, 0, 14, 10, -1, 15],\n [1, 7, -5, 2, 12, 15, 0],\n [11, -1, 13, -5, -3, 2, -8],\n [15, -7, 6, -5, 1, -15, 14],\n [-5, -9, -8, 3, 9, -12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "590", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[3, 8, -7, 1, 2, -15, -2, -12],\n [-6, 7, -2, -9, -4, 6, 13, 11],\n [0, -11, -5, -12, 12, -3, 14, -8],\n [-9, -5, -5, 10, 1, 6, -2, -14],\n [4, 5, -8, 6, 11, -14, 5, -1],\n [-11, -10, 1, -8, 3, -11, 7, 3],\n [-2, -6, 15, -3, 15, 6, -11, -9],\n [-6, 15, -5, -13, -3, 14, -14, -12]]\nB =\n[[-13, -1, -12, 7, 5, -12, 14, -1],\n [-10, 7, 12, 14, 11, -11, -4, -9],\n [-13, -9, -4, -1, 3, 14, -10, -8],\n [13, 15, -10, 10, 11, -13, 12, -11],\n [-7, 8, 0, 6, 0, -7, 2, -3],\n [-5, 9, -6, 13, -6, -10, 0, 9],\n [-4, -12, -11, -14, 3, -15, -12, -4],\n [-14, -4, 15, 0, -14, 1, 10, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "230", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-14, -12, -10, 13, 12, 7, -9, 7],\n [-1, 4, -4, -11, -2, 0, -5, -4],\n [3, 1, 14, 8, 10, 11, -9, 14],\n [-7, -2, 10, 4, -4, -1, -4, 5],\n [5, 13, 7, -3, -7, 8, -9, 14],\n [-15, 12, -6, 13, -10, 10, -1, -1],\n [-7, -3, 7, -15, -7, -13, 14, -7],\n [4, 15, 9, 13, -1, 8, -9, -12]]\nB =\n[[9, 4, 1, 6, -12, 10, 3, 12],\n [-11, 0, -13, -5, 9, 12, 6, -1],\n [3, 5, 8, -2, 0, 8, -10, -11],\n [15, 5, 1, 0, -14, 15, 12, -5],\n [-12, -10, 11, -9, 1, -8, 12, -15],\n [9, -1, 4, -4, -1, 7, 11, 14],\n [6, -1, 13, -7, 0, 14, -14, -1],\n [-1, 11, -9, 11, 5, -3, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-311", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[-5, 11, -6, 9, -15, -2, -11, 14],\n [-8, -15, -9, -14, -9, -9, -7, 6],\n [-12, 7, -9, 4, 2, -3, -5, -7],\n [-2, -8, 5, -2, 5, 1, 11, 9],\n [11, -2, 10, 11, 8, -11, -6, -10],\n [12, -6, -5, 10, 8, -10, -6, -2],\n [4, -13, -9, 13, -14, -9, 1, -3]]\nB =\n[[10, 5, 15, -7, -3, -1, -3],\n [1, -8, -7, -7, -8, 0, 4],\n [14, 14, -9, 1, -9, -10, -11],\n [1, -8, 10, -15, 0, 1, 14],\n [15, -13, -3, -8, 0, 8, 14],\n [15, -9, 5, -1, 8, -14, 8],\n [12, 11, -14, -6, -11, 11, 13],\n [-12, -1, -3, 1, 5, 7, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[2, 12, -1, -2, -7, -4, -11],\n [14, 13, 7, -14, 7, 7, -9],\n [5, -7, 2, -12, -14, 8, 12],\n [11, -15, 9, -4, -3, -2, -11],\n [11, 12, -13, 12, 11, -12, 1],\n [3, -5, -8, -4, 2, 2, -7],\n [-11, 5, 1, -3, -10, 8, 6],\n [-2, -1, 7, -2, -12, 2, -15]]\nB =\n[[-4, 6, -7, -6, 5, 12, 2],\n [1, 3, -12, 0, -9, -7, -8],\n [9, -9, -6, -8, 8, 1, -4],\n [-2, 15, -4, 15, 9, -14, -4],\n [11, -2, -9, 13, 10, 10, -3],\n [5, -12, -15, 1, -13, 14, 15],\n [1, -8, -13, 11, -6, -14, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "513", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-12, 13, 13, -2, -5, -2, -3],\n [11, 13, -12, -14, -14, -5, 6],\n [-11, -7, 4, 5, 15, 1, -4],\n [12, 2, -13, -11, 12, 5, 4],\n [-2, 0, 10, 3, -7, 1, 6],\n [-9, -6, -12, -6, -13, 8, -7],\n [-3, -15, -1, 15, -1, 15, -5]]\nB =\n[[12, -6, 9, -9, -15, -9, -11],\n [10, 13, 13, 7, 0, 12, 9],\n [-8, 6, -14, -8, 12, -2, -12],\n [8, -1, -9, 4, -8, 11, -5],\n [12, 11, -14, -7, -10, 7, 10],\n [-15, -13, 14, -6, -11, 15, -4],\n [7, -15, -7, 5, -3, 12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1077", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 8) of the result:\nA =\n[[-9, 10, 0, -8, 10, 10, 3],\n [-9, 7, -12, -6, 9, -15, 1],\n [5, -3, 3, 10, -3, -7, -11],\n [7, -15, -14, 15, -5, 12, -12],\n [15, -7, -11, -11, 9, -8, -14],\n [-9, 1, 10, 11, -5, -1, 9],\n [-13, -3, 2, 4, 4, -13, -14]]\nB =\n[[-11, 4, -11, -3, 12, 12, -8, 11],\n [0, 15, 2, 9, 10, 0, -15, -8],\n [12, 5, -14, 8, -11, 10, -1, -2],\n [10, 13, 14, -13, -9, -12, -5, 11],\n [10, -4, -1, -10, 10, 8, -15, 2],\n [-2, 13, 8, 15, -9, -6, -7, -14],\n [-8, 6, 15, -15, 4, 14, 15, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 9, 0, 6, -12, 5, 11],\n [1, 13, -12, 13, 10, -13, -7],\n [6, -1, 4, -13, -4, -1, 13],\n [4, -8, -4, 5, -3, -1, -5],\n [1, 5, 8, 11, 15, -4, 4],\n [14, 2, 13, 15, 0, -13, 14],\n [11, -7, 14, -9, 3, -11, 3]]\nB =\n[[-6, 4, -4, -8, 14, -13, 3],\n [11, -5, -8, 10, -3, 10, 7],\n [7, -6, 2, -4, -9, 10, -5],\n [-6, -13, 14, -9, 13, -12, 13],\n [-8, -8, -10, -3, -4, -13, -10],\n [6, 3, -5, -12, -1, -14, -1],\n [1, -14, -9, 10, 0, -11, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6744", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[9, 3, -14, -1, -12, -14, 11],\n [7, -6, 6, 8, 13, -11, 2],\n [13, -12, -15, 2, 4, -10, 4],\n [4, -2, 11, 10, -6, 2, -7],\n [-4, -6, 8, 8, 5, 3, -10],\n [-2, 9, -8, 7, -2, -5, 15],\n [8, 0, 4, -10, -1, -1, -2],\n [5, -4, -14, -8, 3, -2, -11]]\nB =\n[[8, 11, 15, -7, -3, 15, -7, -2],\n [-11, -14, -9, 0, -5, -5, 7, 15],\n [-4, -3, -8, 8, 0, 5, 15, -15],\n [-3, -5, 13, -12, -12, -1, 11, -13],\n [8, 3, 13, 5, -14, -10, 15, 6],\n [8, -8, 1, -11, -14, 10, -4, -11],\n [-6, 12, -7, 4, -8, -15, 8, -10]]\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[[8, 6, -5, -13, 15, 12, -1],\n [-5, 8, -11, 12, 10, 0, 5],\n [15, 12, -9, -10, -7, -9, -13],\n [-5, 11, -4, 5, 9, -5, 13],\n [15, 10, 14, -14, -15, 11, 8],\n [8, -14, -2, -3, 8, -11, -14],\n [7, 7, 3, 14, 1, -5, 0]]\nB =\n[[4, 2, 4, -8, -14, 1, -5],\n [-2, 0, -1, -1, -13, 10, -9],\n [13, -4, 6, 6, 7, 8, -13],\n [3, -6, 13, -8, 0, 0, -4],\n [13, 14, 13, 7, 10, -11, 4],\n [-10, 9, -10, -8, 1, -4, 14],\n [6, 14, -2, -14, 3, -10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8138", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 6, -11, -10, -1, -10, -8, -7],\n [5, 6, -10, 6, -14, 0, 4, -15],\n [14, 12, 0, -15, -15, -9, 0, 1],\n [0, 0, -10, 2, 6, 6, 12, 11],\n [-13, 15, -8, 11, -12, 13, 7, -12],\n [1, 6, -11, 9, 15, -2, 14, -1],\n [9, -4, 11, -3, 8, 15, 7, 14]]\nB =\n[[2, -2, 8, 3, 6, 10, -9, 12],\n [-10, -11, -12, 2, 9, -2, 0, 7],\n [7, 4, -2, -11, 6, 12, -5, -4],\n [2, -12, 15, -3, 4, 12, -3, -12],\n [7, 13, 7, -9, 7, -14, 5, 10],\n [2, 5, 12, -10, 0, -13, 6, -1],\n [5, 4, -6, -7, -5, -2, 8, -4],\n [-9, -5, 15, 1, 9, -7, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1580", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 0, -13, -11, 7, 1, 12],\n [-15, 5, -7, 7, 1, 13, -3],\n [-1, 12, 5, 15, -8, -8, 12],\n [-14, 7, -6, -11, 0, 9, 3],\n [-15, -3, -12, -9, -15, -14, 0],\n [-2, -11, 9, -2, 1, -4, 4],\n [-4, 14, -13, 14, 5, 5, 10]]\nB =\n[[-14, 5, 9, 5, -1, -5, -6, 2],\n [7, 15, 6, 7, 8, 10, 5, -14],\n [-9, -9, 8, -9, 10, 7, -2, 13],\n [9, 8, 15, -14, -14, 7, 10, -1],\n [-5, 13, 15, -6, -13, 1, -7, 14],\n [-1, 14, -2, 3, 1, 6, 4, 14],\n [1, 0, 4, -8, 11, -9, 15, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1403", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-15, 10, -4, 9, -10, 0, 2, 3],\n [7, -13, 13, -13, -11, -13, 3, 11],\n [-11, -2, 5, 0, 12, 9, -15, 14],\n [1, -5, 14, -7, 5, -12, -14, 12],\n [-7, 6, 15, 9, -11, -12, 7, -11],\n [8, 8, 13, 2, -3, 15, -11, 10],\n [8, 3, 7, -13, 15, 6, 2, -10],\n [-10, 8, -11, 14, -15, 15, -8, 12]]\nB =\n[[9, -15, 5, 12, -10, 4, -2, -5],\n [-14, 5, 14, 14, -12, -3, -9, -10],\n [-13, -7, -2, 4, 15, -5, -11, -2],\n [3, -8, 11, -9, 11, 11, 15, -9],\n [8, 7, -13, -13, 2, -3, -15, -11],\n [12, -12, 0, -1, 13, 11, 2, 1],\n [-2, -2, 3, 13, -10, -3, 2, 10],\n [-1, 13, 7, 11, -9, 11, 3, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-427", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 6) of the product matrix AB given:\nA =\n[[1, -7, -5, -11, -14, -1, 8],\n [-4, -6, -6, 4, -5, -6, 12],\n [-9, -2, -3, -11, 13, 3, -6],\n [-8, 2, -15, -11, -5, 4, -5],\n [0, -6, -1, -9, -1, 13, 9],\n [0, -10, -5, 1, -1, 0, 8],\n [-14, -12, 3, -10, 2, 5, -5],\n [-7, 15, -13, -14, 2, -1, 9]]\nB =\n[[6, 2, 3, -1, 14, 1, 2],\n [15, 2, -5, 2, 7, -13, -3],\n [15, -2, 11, -12, 2, -11, -2],\n [9, -4, 9, -9, -4, -8, 13],\n [14, 5, 5, 12, -13, 6, -15],\n [-13, -5, 2, -9, -7, -12, 7],\n [8, -6, 2, 7, 0, 13, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "102", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[3, 8, 6, -13, -8, 11, 13],\n [3, -7, 11, 3, 1, -3, -14],\n [-12, 13, -5, -14, -12, -12, 4],\n [-15, 9, 10, -5, 7, -14, 3],\n [13, -8, 7, 4, -12, 9, 0],\n [-1, -11, 14, 13, 11, -11, -1],\n [7, 1, -13, 2, -5, 10, -10],\n [11, -4, 6, 10, 1, 14, -2]]\nB =\n[[-10, -6, 0, 2, 11, 4, -10],\n [3, -13, -4, 0, -13, 0, -12],\n [9, 4, -3, -12, -12, -9, 5],\n [-4, -14, 0, -9, 3, -5, -15],\n [-7, -11, 10, 1, 11, -15, 1],\n [-4, 9, -3, 8, -5, -3, 15],\n [-3, -10, 10, 15, 15, 6, -10]]\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 value at position (1, 7) of the result:\nA =\n[[4, 5, -6, 3, -13, 10, -9, -11],\n [-8, -11, -4, -12, 14, 3, 12, 2],\n [-13, -9, -8, -1, 5, 11, 1, 3],\n [-12, 0, 10, -3, 13, -4, -12, -4],\n [1, 10, -7, -4, 10, 15, -1, 4],\n [-14, 13, -7, -2, -12, -12, 11, -10],\n [8, -11, 12, 8, 1, -3, 4, 1]]\nB =\n[[3, 11, 7, -15, 5, 1, 6, 9],\n [-13, 11, 11, -2, -4, -1, -10, 4],\n [6, -14, -12, -3, -3, 7, 11, 6],\n [9, 11, 7, 1, -10, -5, 3, 0],\n [-8, 13, -15, -6, -14, 3, -2, -13],\n [7, 13, 8, 15, -7, 7, -8, -5],\n [-1, -10, -14, -15, -13, 9, 13, 7],\n [2, -2, 1, -14, 15, 3, 14, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-408", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[12, -7, -8, -6, -7, 11, 11],\n [-8, -9, 6, 8, -10, -14, 13],\n [-7, -7, 3, -7, -14, 12, 14],\n [3, 0, 14, 6, -2, 4, 8],\n [-15, -3, 6, -14, 6, -2, -15],\n [-1, 2, -7, 6, -8, -9, -7],\n [-7, -5, -12, -9, 5, -9, -12]]\nB =\n[[-4, 10, 11, 11, 1, 4, 15, 13],\n [10, 15, -13, -7, -11, 4, 0, -8],\n [15, 5, 0, 3, 0, 2, -1, 8],\n [12, 2, -2, 8, 0, -11, -8, 0],\n [5, -15, 12, 13, -5, 14, -5, -14],\n [14, 6, 3, 8, -11, -13, 12, 10],\n [7, 14, -8, -12, 13, -3, 11, 9]]\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 (6, 5) of the result:\nA =\n[[6, -2, -15, -11, 5, -9, 7],\n [-10, -1, -1, -8, -14, -2, 13],\n [0, 13, 7, -6, -1, 7, -12],\n [-4, -6, -14, -12, 4, 12, 12],\n [-10, -2, 7, -13, -1, 10, -15],\n [3, 9, -15, -3, -8, 2, 6],\n [-13, 7, 2, 4, 10, -7, -10],\n [4, -14, 10, 14, 9, 15, -12]]\nB =\n[[9, 14, 2, -9, 11, -5, -11, -8],\n [-5, 14, 8, 14, 14, 4, 13, 4],\n [-1, 8, -13, -9, 8, -8, -5, -6],\n [4, -7, -1, 10, 4, 8, 6, -11],\n [-1, -12, -11, 15, 13, -1, 11, 1],\n [7, -8, 12, 9, 13, 3, 15, -7],\n [-6, -11, -6, 6, -15, 9, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-141", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -12, 5, -11, 7, -9, 7, -11],\n [4, -8, 1, -15, 6, 2, -4, -13],\n [4, -2, 0, 2, -6, 7, -1, -6],\n [-15, 3, -14, -3, 9, 0, -8, -13],\n [5, 3, -2, -5, 13, -4, -5, 12],\n [-5, 6, 5, 11, 2, 14, -6, 0],\n [-8, -10, 14, 15, 3, -3, -1, -3],\n [-15, 5, 12, 11, -14, -3, -14, 9]]\nB =\n[[-5, -3, 15, -6, 7, 6, -1],\n [13, -15, 15, -2, -6, 2, -5],\n [-9, -1, -13, -14, 6, -8, 15],\n [-8, -5, 0, -14, 6, 12, -11],\n [-9, 4, 12, -3, -14, 10, -13],\n [-7, -6, 8, -3, 9, 5, -3],\n [-11, 7, -9, 1, 12, -1, 14],\n [-11, 8, -9, 11, -14, 14, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1759", "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, -6, -15, 11, 11, -2, 11, 3],\n [0, 3, -10, -4, -13, -9, 8, -13],\n [9, 1, -1, 3, 12, 3, 7, -5],\n [11, 5, 4, -14, -9, 3, -9, -6],\n [-4, 7, 11, 2, 7, -10, 10, 4],\n [11, 5, 12, -8, -11, -13, -14, 6],\n [-10, -9, -8, -12, -4, 8, -4, 1],\n [6, 6, 3, -7, -4, 12, 5, 15]]\nB =\n[[1, 7, -6, 15, 14, 3, 10],\n [10, -5, 4, 6, 8, -3, -12],\n [-1, -4, 9, 8, 10, -6, 6],\n [-9, 8, -14, 5, 13, -9, -8],\n [5, 3, 15, -10, 5, -8, 9],\n [9, 12, 12, 6, 15, 4, -12],\n [9, 4, 8, -7, -11, 13, -10],\n [3, -4, -11, -11, 15, 14, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8427", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -10, -7, -5, 15, 7, -2, 8],\n [-14, 11, 13, -2, 9, 3, -6, -11],\n [14, 7, -12, -9, 8, 15, -3, -6],\n [14, -6, -12, 0, -1, 5, -5, 3],\n [5, 8, -13, -1, 0, -2, 13, -11],\n [10, 1, 2, 3, -15, 13, 11, 12],\n [11, 9, -7, 5, -2, 4, 5, 4]]\nB =\n[[12, 5, 7, -5, 8, -14, 4, 8],\n [7, 9, -11, 6, 15, 11, 8, -1],\n [-4, -2, 15, -5, 15, 5, 14, -7],\n [4, -8, -4, 14, -13, 5, -1, -8],\n [15, 10, 12, -9, 1, -4, 4, 2],\n [2, 13, -1, 7, 12, 12, -13, 3],\n [-1, 0, 6, 6, 1, 15, 15, 15],\n [-15, -5, -10, 7, -7, 4, 0, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3875", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -10, -4, 3, -3, -3, 11, -12],\n [-7, -2, -2, 1, -11, 15, 15, 11],\n [7, 3, 15, -14, -3, -5, -14, -15],\n [5, 13, -13, 11, -4, -9, -15, -7],\n [14, 2, 8, 10, 4, -10, -7, 7],\n [15, -8, 15, 7, 2, 9, -1, -15],\n [-2, 2, 3, 3, 14, -6, 4, 5]]\nB =\n[[-10, 1, -2, -3, -8, 6, -6],\n [-7, -11, 7, 11, -12, -10, -10],\n [-3, -12, 6, -8, 11, -11, -14],\n [-7, -5, 4, 4, -5, -9, 10],\n [-2, 10, -10, 14, -12, -10, -13],\n [7, -10, -13, -15, 12, 10, 5],\n [10, 2, 7, 13, 7, -12, -10],\n [1, 2, 15, -10, -14, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9634", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, -12, 0, 4, -6, 9, 15, -6],\n [-9, -2, -9, -4, -5, 1, -5, 5],\n [-13, 3, 6, -12, -8, -2, 4, 8],\n [-2, 12, 0, -1, -4, 0, 4, 3],\n [-11, -4, 13, -11, -6, 10, 1, -1],\n [-8, -8, -8, 14, -6, 4, -3, 14],\n [0, -7, 0, -6, -13, 7, 6, 9],\n [12, -2, -3, -12, -12, -10, 8, 3]]\nB =\n[[-5, -8, -2, -8, 14, -2, 7],\n [-9, 5, 2, -4, -2, -1, 2],\n [13, -4, -6, -4, -8, 11, -10],\n [8, 3, -15, -3, 6, 0, 2],\n [-4, 15, 9, -11, 5, -3, 10],\n [-8, -10, -13, 9, 10, 4, 10],\n [-12, -4, -3, -14, 3, -12, 7],\n [-3, 3, -8, -8, 0, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2457", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -12, 8, -15, -15, 14, -2, -12],\n [-5, 2, 0, 1, 8, -14, -12, -13],\n [-1, -14, 8, 3, 15, -7, -6, 5],\n [9, 3, 12, -11, -2, -6, 0, -10],\n [9, -8, -14, 2, 13, 5, 5, 5],\n [4, -8, 11, -11, 1, 0, 10, 14],\n [-11, 1, -12, -15, 6, -10, -15, 12],\n [8, 14, -12, -14, -3, -2, 1, -5]]\nB =\n[[-13, -9, -6, -5, -6, -8, -11],\n [7, -14, 12, 12, -1, 0, -12],\n [6, 12, 12, 0, -4, 12, -2],\n [-4, 12, 5, 0, 0, 6, -4],\n [-14, 7, 8, 13, -2, -5, -7],\n [6, -9, 13, -4, 13, 1, -7],\n [-10, -4, 4, -6, -7, -4, -15],\n [-14, 3, -15, 0, 0, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1196", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 5) of the product matrix AB given:\nA =\n[[7, 10, -3, 6, -4, -7, 14],\n [-11, -7, 14, -3, 0, 12, -6],\n [14, 0, -2, 9, -14, 15, 12],\n [9, 3, -5, 3, 12, -5, -2],\n [-1, 9, 15, -9, -1, 14, 11],\n [15, 8, 7, 9, -8, 14, -12],\n [2, -2, 13, 11, 5, 2, -12]]\nB =\n[[14, 12, -14, 5, -10, -5, -15],\n [-1, -4, 8, 2, 14, -11, -5],\n [8, 5, 3, 6, -15, 1, -8],\n [7, 0, 10, 10, -5, 11, 3],\n [8, -5, -1, -8, 14, -2, -15],\n [-6, -9, 2, -4, -14, 2, 13],\n [5, -9, 4, 11, -4, 4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-208", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -6, -7, 7, 14, -1, 10],\n [15, 4, 8, -6, 3, 3, -4],\n [7, 13, 11, -4, -7, 13, 11],\n [4, -12, -15, 0, -15, -3, 14],\n [-13, -4, 13, 7, 13, 15, -7],\n [-12, -14, 6, 6, -7, 15, 4],\n [8, -3, -2, 13, -13, 2, -7]]\nB =\n[[-1, 6, 11, 8, 11, -6, 9, 1],\n [-3, -15, -5, -11, -7, -9, -9, -14],\n [3, 4, 2, -6, 9, -11, 0, 13],\n [7, 11, 9, -11, -1, 6, 0, -12],\n [-2, 8, 1, 1, 5, 0, 10, -7],\n [-14, -5, -1, -13, 8, 0, 5, 3],\n [6, -10, -2, -11, -11, -10, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "712", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 3, -14, 1, 12, -15, -7, -3],\n [-12, -11, 10, 14, 15, 7, 15, 2],\n [12, 11, -6, 9, 12, -12, 10, 10],\n [-3, -3, 1, -8, -12, 7, -13, -5],\n [-4, -7, -1, -3, -11, -11, 3, -5],\n [-7, -13, 2, 11, -3, 9, 12, -4],\n [-7, -6, 12, -3, 4, 4, -3, 11]]\nB =\n[[10, 15, 13, 13, 6, -7, 8],\n [-6, 3, -10, 15, 13, -9, -1],\n [15, 6, 3, -2, 14, 0, -2],\n [13, 13, 9, 4, -14, -7, -13],\n [-10, -11, -2, 13, -1, 2, 1],\n [-7, 3, 7, 9, -7, 12, 0],\n [10, -10, -8, 9, -13, 6, -11],\n [-9, 7, 9, -15, 6, 5, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8521", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 12, 0, 11, -2, -15, -12, -6],\n [-5, -9, -12, -15, 10, -15, 1, 11],\n [-6, -11, -9, 9, -8, -14, -7, -12],\n [-4, 10, 15, -5, -11, -4, 11, 5],\n [-12, -3, 6, -15, 2, -12, -12, -8],\n [9, 12, 4, -10, -12, -12, 12, -5],\n [12, -7, -2, -12, -3, -10, 14, -3]]\nB =\n[[9, -13, 7, -9, -15, -5, -14, -11],\n [8, 6, 14, -2, 13, -3, 0, 7],\n [-1, 15, -13, -10, -7, -13, 14, -3],\n [13, -3, 6, -9, -11, 10, 13, -8],\n [-8, 6, -9, 3, 13, -9, 7, -12],\n [-6, 14, -3, -12, 14, 3, -6, -9],\n [-11, -13, 6, 12, 6, 6, -14, 13],\n [-5, -6, 12, 7, -3, -9, -6, 12]]\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[[-12, 11, 6, 4, 0, 4, -10],\n [-7, 12, -3, 15, -9, 2, -2],\n [6, 14, -11, 6, -3, 8, -8],\n [-1, 3, -7, -10, 7, 9, 15],\n [-2, 13, 7, -6, -7, 1, -3],\n [1, 3, -3, -7, -15, -15, -11],\n [-8, 2, -12, 15, 6, 15, -15],\n [-1, 4, -12, 9, -7, 6, 8]]\nB =\n[[12, 10, 4, -6, 8, -1, -13],\n [-14, 6, -11, 8, 15, -15, -5],\n [-4, 10, -13, 7, 13, 0, 10],\n [-2, -4, 4, 10, 0, 5, -8],\n [1, 1, 12, -9, -1, 13, 12],\n [-7, -12, -8, -6, -1, 7, 14],\n [2, -2, -11, -7, -3, 13, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -5, -4, -13, -14, 7, 6, -1],\n [-11, -9, -12, -11, 9, 0, -1, 11],\n [0, 9, -12, -10, 2, -13, 9, 6],\n [8, 15, 11, -11, -14, 7, 0, -10],\n [11, -1, 2, -10, -3, 8, -3, -15],\n [0, -12, 1, 2, 0, -15, -10, -5],\n [-10, 1, -12, -2, 14, -2, 4, -8],\n [6, -14, -11, -12, -6, 4, 12, 8]]\nB =\n[[5, -13, 0, -6, 12, -1, -12],\n [-15, 6, 11, 13, -1, -6, 4],\n [6, 2, 0, 5, 11, -7, 8],\n [3, 1, -6, 3, -8, 11, 3],\n [-11, -14, -1, 1, 11, -6, 15],\n [14, 5, 5, 6, -14, -7, -14],\n [2, -4, -1, 5, 9, 4, -10],\n [2, 14, -3, -12, 15, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1596", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[15, -14, 0, -15, -12, -1, 4],\n [-15, 4, -1, -13, -3, 2, -3],\n [-6, 15, 4, 8, -9, 9, -8],\n [-15, 12, 2, -4, 2, 12, 8],\n [-4, 4, -7, -14, -2, -12, 13],\n [13, -1, 15, 1, 3, -10, -7],\n [11, 1, -1, -11, 12, 2, 7],\n [-12, 5, 8, -14, 3, 11, -11]]\nB =\n[[10, -12, -11, 3, -3, 0, -4, -7],\n [8, 0, -2, 6, 15, 14, -15, 4],\n [7, 10, 5, -12, -7, 8, 15, 3],\n [-2, 6, -4, 14, 14, 12, -12, -9],\n [1, -15, -2, -1, -4, -4, -10, 10],\n [11, 13, -3, 0, -2, -9, 13, 9],\n [15, 0, 7, -7, 10, -2, 9, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11110", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[14, 8, -9, -4, -13, 11, -2, 3],\n [-5, -11, 7, -3, 12, -6, -9, 1],\n [0, -8, 1, -3, 14, -5, 4, 2],\n [-11, -10, 4, -2, -4, 13, -12, -9],\n [-5, 4, -14, -12, -9, -15, -1, 4],\n [6, 8, -8, 13, 9, -11, -2, 2],\n [-13, -14, 9, 6, 0, -2, 0, -5]]\nB =\n[[12, 1, -13, 7, 7, -11, -13, 13],\n [-1, 7, -11, 6, -13, -10, 7, -2],\n [8, -14, 2, 14, -10, 8, -11, -2],\n [1, -5, -15, -6, -7, 4, -4, 10],\n [-15, 11, 8, 2, -4, -14, -15, -15],\n [9, 13, -15, 6, -4, -9, -12, 5],\n [4, -12, 10, -1, 15, -15, -10, -2],\n [10, -2, -6, -9, 7, 8, 7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9802", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 15, 8, 3, -7, -13, -12, -3],\n [-6, -2, -10, 12, 14, 12, -8, 3],\n [13, -6, 6, -11, -11, -11, -7, 13],\n [7, 12, -7, -1, -7, 13, -2, -10],\n [14, 6, 4, -8, 14, -14, -11, 1],\n [-6, -2, 2, -15, 6, -14, 12, -12],\n [-3, 0, -11, 7, -6, 1, 12, -5],\n [-11, -1, -12, -9, 14, -6, 7, 8]]\nB =\n[[-12, 4, 10, -11, -11, -5, 3],\n [-11, 5, -8, -9, -8, -3, -11],\n [12, 11, 2, 8, -7, -14, 0],\n [-2, 1, 12, -10, -13, 1, -3],\n [-10, 12, -8, 9, 13, -10, 12],\n [0, -10, 1, 5, -13, 7, -4],\n [9, 13, 11, -10, 5, -9, -5],\n [-7, 0, -11, -1, 5, 10, -12]]\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[[-11, -9, -13, -12, 9, -1, 12],\n [-14, 8, 9, -11, -9, 6, 1],\n [15, -8, -7, -6, -5, -15, -1],\n [-8, 3, -4, -10, -6, 8, -11],\n [8, -9, -9, 7, 9, 6, 6],\n [11, -7, -1, -10, 0, -9, -1],\n [7, -14, 13, 12, -8, -4, -5]]\nB =\n[[-10, 4, 11, -3, 7, 0, -8, 1],\n [10, 13, -3, -12, 4, -6, 9, 13],\n [6, 4, 0, 13, 1, -8, -5, 9],\n [-11, 5, 10, 0, 8, -8, 5, 0],\n [-12, -10, 10, 5, -8, -7, -3, 1],\n [-7, -3, -7, -10, 11, -6, -11, -9],\n [-5, 8, -7, 9, -6, -5, -13, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-890", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 1, -9, -4, 0, -1, 5],\n [13, -3, 2, 2, 8, -11, -2],\n [12, -5, -13, 1, 11, 7, 11],\n [-4, -13, 7, 12, -14, -12, 2],\n [4, 5, 15, -2, -8, -14, 10],\n [3, -6, 12, 13, -11, -5, 12],\n [12, -7, 0, 10, 11, -11, -1]]\nB =\n[[-2, -7, 4, 10, -11, -1, -7, -12],\n [5, 5, -12, 4, 11, 5, 12, 6],\n [-9, -1, 6, 15, 1, 15, 2, -9],\n [14, 3, 12, -6, 11, -3, -14, 6],\n [11, 4, 12, 15, -5, -11, 15, -10],\n [-13, -15, -13, -13, 6, -12, -9, 13],\n [-1, -5, 2, -4, -12, 8, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10596", "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, 3, 10, 12, 2, -1, -13],\n [1, -15, -14, 14, 3, 13, -7],\n [-8, -4, 15, 11, 11, -1, 9],\n [7, -9, 5, 0, -9, 4, 5],\n [-4, 1, -5, -12, 3, -14, -14],\n [8, 1, 8, -7, 6, -15, -6],\n [12, 7, -1, 15, 5, -1, 9],\n [7, 5, 13, -14, -2, -12, 2]]\nB =\n[[-7, -14, -14, 2, 1, -7, -8],\n [-14, -14, -11, -4, 13, 14, 12],\n [0, -2, 4, -14, 8, -8, 13],\n [-12, 14, 4, -7, 4, 15, 10],\n [11, 9, 3, -14, 15, 0, -5],\n [-8, -4, -13, -3, -14, -3, 11],\n [-8, -1, 8, 5, -7, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9631", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, 12, -13, -9, -2, -1, -7, 4],\n [-5, -9, -4, 3, 11, 2, -3, -5],\n [-15, -10, 5, -14, -3, -3, 3, -7],\n [3, 7, -15, 7, 9, 12, 11, -8],\n [7, 10, -2, 8, 0, 13, -12, 15],\n [2, -2, 14, 11, -7, -1, -13, 14],\n [11, -12, 7, 2, -2, -1, -8, 12]]\nB =\n[[-6, 8, -4, 5, -7, -8, 1],\n [-7, -3, 14, -2, -11, -7, 9],\n [10, 10, 0, 3, 8, 7, 15],\n [-9, -4, 10, -14, 2, 2, 0],\n [13, -5, -14, -2, -12, -9, -14],\n [5, -2, -9, -7, -8, -7, -9],\n [3, 1, 10, 7, -3, -5, 6],\n [2, 1, 12, 0, -6, -12, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1899", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-12, 6, -5, 5, 9, -8, -7],\n [0, -6, 7, -7, -13, 9, -14],\n [-7, -3, -10, -12, 12, -2, 12],\n [13, -5, -14, 13, 10, -13, -11],\n [9, -9, -5, -4, 13, -5, 3],\n [-3, -12, -2, -4, 11, -14, 14],\n [-8, 6, 3, -3, 5, 5, 12],\n [-15, 13, -11, 6, 10, 10, 11]]\nB =\n[[-5, -5, -3, -14, 3, 0, 10],\n [-11, -2, 13, 3, -11, 5, 8],\n [10, -7, 8, -4, 0, 3, -1],\n [1, 14, -1, -13, 1, -3, 11],\n [-7, 12, -3, 0, 3, -2, -8],\n [6, 3, 9, 8, -13, 7, 5],\n [2, 0, -2, 0, 8, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-596", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -3, -5, 12, 13, -12, 13],\n [10, -2, -11, -12, -15, -2, -9],\n [-6, 11, -14, -6, -13, 5, -8],\n [-6, -8, -2, 2, -7, 6, -7],\n [14, -12, -13, -2, -2, 5, 0],\n [-11, 4, 13, 7, 8, -1, 5],\n [15, -7, -9, -3, 13, 7, -8]]\nB =\n[[-4, -12, 0, 10, 13, 13, -10, -11],\n [-15, 15, -2, 13, -7, 2, -10, -1],\n [15, 0, -8, 3, -11, -2, -9, -12],\n [14, 12, 5, -15, -12, 14, -2, 7],\n [0, 12, 10, -9, -6, -6, -12, -4],\n [-10, -3, 5, -15, -8, 12, 7, 15],\n [0, -11, 13, 10, 10, -9, 15, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "549", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, 8, 5, -14, -14, 4, 7, 14],\n [-6, 4, -7, 2, -10, 4, -10, 10],\n [9, -6, 12, 9, -7, -7, -13, -4],\n [-5, -2, 9, 3, -6, 3, -11, 6],\n [-7, -15, -1, 8, 14, 14, -12, 10],\n [-9, -10, -1, -10, -9, 4, 6, -13],\n [5, 13, 13, 14, 15, -3, -14, -13]]\nB =\n[[-3, -7, 6, 3, 2, -11, -6, -2],\n [5, 1, -13, -9, -7, -11, -12, -13],\n [10, -3, -7, 14, 7, 12, -9, 14],\n [13, -8, -6, -15, 11, 4, 13, 13],\n [5, 5, -15, 3, -14, -4, 7, -3],\n [-2, -11, -13, 11, 8, 1, -15, -2],\n [-10, 1, -12, -10, -15, 13, -7, 15],\n [-12, -7, -7, 13, 6, -3, 7, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3510", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[13, 1, 5, -13, 10, 10, 13],\n [-10, 4, -1, 13, -2, -3, -7],\n [7, -1, -2, 15, -12, 13, -5],\n [6, -14, 14, 0, 3, 15, 0],\n [11, -9, -5, -4, -12, 14, 0],\n [12, 10, 0, -9, 9, 14, -3],\n [-11, 14, -15, -11, 6, -2, -5]]\nB =\n[[-14, 8, 13, 2, -1, -2, 9, 14],\n [-3, -14, 3, -8, 11, 6, 1, -1],\n [4, 5, -2, 11, -13, 1, -13, -3],\n [9, 2, -15, -9, 13, 7, -11, -14],\n [14, 1, 13, 5, -6, -12, -7, 5],\n [-5, 10, -4, -4, 2, -12, 13, 12],\n [-7, -8, 3, 8, -3, -14, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1887", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-11, 11, 12, 14, 10, -6, 8],\n [1, 4, 0, 1, -15, 12, 5],\n [6, -1, 1, -5, 6, -11, -12],\n [10, 5, 8, -7, 11, 0, 14],\n [-4, 2, 6, -13, -1, 2, -4],\n [14, -3, -15, -12, -8, 3, 5],\n [14, 10, 5, -11, -5, 9, 15],\n [8, 8, 13, 13, 1, 1, -14]]\nB =\n[[14, 8, 10, -15, 15, -12, -7, -14],\n [-13, 11, -10, -3, -1, -5, -6, -13],\n [15, 15, 4, -7, 9, -6, 5, 7],\n [9, 8, 11, 7, -4, -8, 5, 5],\n [5, 1, 6, -11, 8, -8, 2, -5],\n [6, 12, 11, -6, 10, -1, -10, 3],\n [1, 7, -6, -11, 12, 0, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-732", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 11, 8, 12, -11, 5, -15, -14],\n [-11, 7, 3, 12, -1, -15, -5, 12],\n [2, -13, 12, -7, 8, 15, -12, 8],\n [-3, -7, -13, 0, 6, -8, 10, -9],\n [9, 7, 1, 9, 12, 0, 5, 6],\n [2, 0, -1, -14, 13, 4, -12, -11],\n [-9, 13, 11, 12, -1, 1, -6, 4],\n [13, -7, 0, 8, -13, 6, 11, -7]]\nB =\n[[-8, 7, -9, 1, 15, -11, -9, 14],\n [-3, 2, 15, 6, -2, 2, -13, 1],\n [3, 15, -9, 5, -12, -1, 15, 13],\n [12, 8, -8, 0, -15, 9, 0, 14],\n [9, -14, -14, -8, -4, -5, -10, 3],\n [12, 2, -11, -1, -8, -10, -4, 3],\n [-4, -4, -7, 8, -6, 6, 1, 2],\n [0, -12, 2, -13, 0, -2, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1002", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 7) when matrix A is multiplied by matrix B?\nA =\n[[-10, -12, 11, -14, 7, -6, -5, -9],\n [10, 9, -11, 10, -12, 10, -10, 12],\n [-14, -14, 0, 12, 9, 7, 7, -3],\n [5, -9, 9, 10, -11, 9, 1, -3],\n [-1, 12, -13, 7, -12, -1, 2, 12],\n [14, -13, -9, -8, -5, 9, 6, 10],\n [-7, 4, -4, -11, -15, -2, 9, 9],\n [9, -13, 13, -1, -6, 10, -6, 8]]\nB =\n[[-13, 13, -10, -11, 8, 3, -2],\n [1, -4, -7, 10, 9, -13, 2],\n [-12, -2, 8, -10, 10, -1, 15],\n [1, 15, 8, -11, 13, -10, 5],\n [10, -11, 3, -2, -12, -11, -5],\n [11, -14, 6, -14, 4, -4, 0],\n [1, -12, -2, -9, -1, 14, 0],\n [-8, -14, 3, -15, 15, 7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 2) of the product matrix AB given:\nA =\n[[11, 10, 8, 5, 9, 6, -5, -6],\n [2, -15, 1, 0, -4, 12, 14, 14],\n [0, -7, 1, -13, 12, 2, -1, -1],\n [15, 0, 12, 4, -15, 15, -15, -12],\n [13, -3, 14, -12, 7, -8, -3, 8],\n [-8, -2, 14, 12, 14, 9, -15, -7],\n [10, 8, -15, -9, 9, 4, -3, -1],\n [13, -7, 0, 1, -7, -10, 4, -4]]\nB =\n[[0, 12, 5, -1, -9, -6, 13],\n [-12, 8, -13, 2, -15, 14, -3],\n [6, 2, -8, 15, -5, -6, 13],\n [-12, 9, -12, -12, 13, -4, -8],\n [12, -3, -8, 5, -13, -4, 2],\n [-1, 9, -2, -7, -11, 14, 13],\n [-1, -8, 7, -13, -4, -11, 15],\n [13, -7, 4, -13, 7, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -8, -11, 9, -9, -11, 13],\n [-7, -11, -8, -4, -12, -7, 12],\n [6, 6, -2, 3, -3, -13, -12],\n [-15, 6, -15, -5, 0, -12, 15],\n [13, -9, -4, -10, 8, 4, -7],\n [10, -8, -2, -1, 5, 14, 6],\n [-11, -1, -10, -15, 4, -7, -12]]\nB =\n[[-14, -10, -14, -13, -9, 4, 1, -7],\n [6, -7, 3, -11, 9, -10, 2, 15],\n [-15, 9, 1, -2, -1, -11, 1, 5],\n [5, 7, 7, -5, -6, 1, 9, -15],\n [-11, 0, -9, -4, -8, 2, 14, -15],\n [4, -4, 15, -12, 10, -4, 6, -15],\n [14, -15, -13, 5, -4, 6, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1008", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[13, -3, 5, -7, 2, 12, 12, -15],\n [-10, 9, 7, 8, -11, 10, -12, -10],\n [-13, 1, -5, -12, 9, 4, -15, 14],\n [-12, 7, -13, -6, 6, 15, 14, -15],\n [11, -12, 3, 14, -15, 0, 3, 15],\n [4, 5, 6, 2, -14, -10, 5, -15],\n [3, 11, -11, 15, 13, 12, 12, -14]]\nB =\n[[-15, 0, 9, 15, 5, -14, 10, -12],\n [-13, 7, 1, -1, -6, -4, -4, 4],\n [-9, 11, -6, 13, -11, 4, 4, -5],\n [12, 14, -14, 8, 0, -4, 0, -12],\n [-14, 9, 14, 14, 13, 12, -6, -3],\n [7, 15, 3, -1, 7, -15, 12, 1],\n [4, -12, 4, -7, -10, -13, 6, -14],\n [2, 7, 14, 3, -9, -13, 12, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1293", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 1) of the product matrix AB given:\nA =\n[[2, 4, 15, 4, 3, -7, 0, -10],\n [5, 13, -4, 12, -10, -3, 11, 8],\n [-11, 13, 15, -3, 4, -9, -4, 14],\n [5, -12, 14, -11, 0, 11, -12, -8],\n [0, -8, 1, -2, -4, -13, 11, 4],\n [-14, 14, -3, 5, -5, 8, -4, 2],\n [14, -7, 13, -9, -10, 8, -2, 2]]\nB =\n[[-2, -11, 4, 8, -3, -15, -4],\n [3, -6, 8, -11, 4, -10, -4],\n [5, -13, 13, 11, -2, 5, -12],\n [1, 1, -2, -1, -9, -12, 1],\n [-10, -5, -4, -1, 11, -4, -5],\n [11, 1, -8, -4, 13, -7, -5],\n [-13, -9, 13, 15, 5, -13, 5],\n [0, -6, 7, -9, 9, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "250", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 5, 5, -6, -4, 2, 12],\n [7, 7, -7, 13, -7, -12, -11],\n [-9, 10, 15, -9, -5, -6, -5],\n [8, 8, 2, -4, 9, 0, 11],\n [-12, 1, 1, 5, 7, -11, 15],\n [-3, -13, 11, 7, 1, -5, -15],\n [12, 2, 1, -7, 4, -9, -11],\n [14, 0, -9, -3, -3, -1, 7]]\nB =\n[[1, 1, 11, 3, -6, -14, -2],\n [7, -13, -9, 9, 12, -5, 1],\n [-1, 3, 13, -5, -1, -1, -10],\n [-1, 13, -7, -11, 3, 8, 13],\n [14, 12, -11, 15, 6, -3, 2],\n [4, 1, -1, -2, 13, 0, -12],\n [1, 4, -2, 2, -10, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-243", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 8, -15, -3, -13, -10, 1],\n [-8, 14, -10, 0, -15, -6, 2],\n [6, 10, -2, 8, -11, 1, -2],\n [10, 2, -12, 4, 7, -14, -9],\n [-9, -9, -3, 3, 6, 12, -10],\n [4, 1, 9, 2, 9, 8, -15],\n [11, 7, -3, 10, 3, 0, -6],\n [-3, -6, 14, 14, -2, -7, 5]]\nB =\n[[-5, -13, -8, -4, -13, -9, -2],\n [-9, -9, -2, -4, -15, 11, -11],\n [12, -5, -15, 7, -3, 13, 8],\n [7, 1, -13, 15, -6, 3, 15],\n [-9, 4, 12, -13, 6, -4, 10],\n [6, -6, 5, -4, -1, -10, 3],\n [14, 15, 13, 10, -11, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2627", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[11, -14, 5, 3, 12, 15, 3],\n [-12, 12, 4, -11, -9, -12, -5],\n [7, 9, -13, -11, 4, -1, 9],\n [5, 10, 2, 0, 0, -6, -15],\n [7, -5, 1, 8, -1, 9, -9],\n [9, 10, -10, -1, -1, -9, -13],\n [-2, 14, -7, -13, -10, 4, -7],\n [-15, -7, -4, -12, 10, 0, -11]]\nB =\n[[11, 13, 1, 14, 1, -10, 10, 15],\n [13, 15, -1, -15, -3, 0, -14, 13],\n [14, 3, 7, -14, 5, 9, -4, -4],\n [10, -8, -4, 8, -5, -14, -15, 9],\n [10, 12, -12, -7, 11, 14, 12, 11],\n [-9, 12, 6, 10, 13, 9, -6, 4],\n [-2, -15, -11, -3, -10, 6, 12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, -9, -8, 12, 5, -14, 2, 11],\n [5, 7, -9, 13, 4, 11, 0, 14],\n [3, -7, -4, -2, 14, -9, -14, 1],\n [-5, 2, 13, -4, -13, 5, -2, -1],\n [3, -6, -7, -6, 4, 7, -12, 3],\n [-6, 1, 14, -4, 9, 13, 11, -15],\n [-5, -3, -15, 15, -15, 14, 5, 0]]\nB =\n[[-9, 7, -6, 0, -15, 6, -7],\n [-10, -1, -12, -1, -6, 9, 0],\n [-3, 3, 13, 10, 4, -12, 4],\n [6, 13, 0, -5, 15, -1, -5],\n [7, 14, 9, 14, -5, -13, 8],\n [8, 1, -11, -3, -6, -11, -4],\n [-8, 8, -4, 0, -14, -13, 2],\n [1, -14, 10, 6, -4, 1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-504", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -14, -8, -2, -10, -7, -15, -11],\n [-9, -7, -2, 11, -7, -12, 13, 4],\n [-1, -12, -13, 8, 5, 7, 10, 6],\n [-2, -7, 14, 3, -10, -13, 2, 0],\n [-13, -14, -14, 10, 11, 7, -6, -1],\n [-13, -8, 13, 2, 11, -5, -9, 3],\n [9, -9, 15, 9, -14, -10, -11, -2]]\nB =\n[[2, -12, -12, 8, -3, 7, 13, 5],\n [9, -15, 4, -11, 8, -13, 14, 12],\n [5, 3, -3, -9, -6, -13, 7, 14],\n [-14, -9, -7, 12, 5, -4, 6, 13],\n [-6, 11, 3, -3, -6, -11, 13, -1],\n [5, -13, -8, -10, 13, 3, 1, -6],\n [-15, -3, 11, -6, -4, -14, -6, 5],\n [7, -15, -15, 4, 13, 10, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10320", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 8) of the result:\nA =\n[[9, -15, 11, 10, 5, -7, 8, -9],\n [0, 0, -3, -6, 2, -7, -4, 13],\n [8, -3, -5, -1, -6, -6, -7, 9],\n [9, -13, 7, 0, -4, 1, 9, 14],\n [-1, 9, -13, -11, 12, -3, 8, -10],\n [10, 10, -7, 14, 13, 3, 12, -9],\n [-3, 6, 14, 15, -11, 0, -12, -11],\n [13, 4, 3, 7, -10, -12, 9, -15]]\nB =\n[[1, -7, 0, 7, -14, -5, 10, -11],\n [-3, 4, 1, 12, 13, 9, -1, 6],\n [11, 13, 14, -4, -10, 4, -3, 2],\n [8, -1, -1, -8, 3, 7, -2, -9],\n [-2, -11, -1, 5, -1, 8, -12, -15],\n [1, 9, 4, -15, 0, -3, 2, -6],\n [7, 2, 1, 10, 14, -7, -2, 5],\n [14, -3, 4, 4, 15, -2, -5, -3]]\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 value at position (6, 4) of the result:\nA =\n[[1, -13, 13, -15, 5, -11, 9, -3],\n [8, -11, -11, 7, -4, -14, 13, 7],\n [0, 1, 14, -11, 15, -4, -1, 12],\n [-10, -3, -5, 14, 10, 1, 15, -7],\n [9, 0, 1, 4, 15, 8, 2, -3],\n [13, -5, -3, 8, 10, -3, -4, -2],\n [-3, 9, -7, -2, -15, -7, -12, 12],\n [-4, 8, 13, -2, -7, -13, -10, -13]]\nB =\n[[-15, 10, 6, 5, -13, 14, -2],\n [4, -14, -4, 10, -6, -3, 14],\n [4, -12, 3, 6, -15, 9, -5],\n [10, 0, 3, 3, -4, -13, 7],\n [8, 2, 1, -11, 0, 8, -2],\n [3, -10, -13, 15, -10, -4, 4],\n [14, -5, 15, -9, 11, 10, -15],\n [0, 0, 1, -1, 5, -7, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[4, -8, 13, 5, -15, -9, -5],\n [15, 4, 10, 5, -3, 6, -3],\n [-9, -5, 2, 15, 14, 15, -15],\n [-4, -13, 10, 12, -15, -12, -10],\n [-11, 13, -5, 4, 7, -3, -5],\n [11, -10, 3, 9, -1, 5, -3],\n [-6, -15, -3, -10, 5, 10, 8]]\nB =\n[[4, -4, 1, 11, 2, 8, 10],\n [-8, 13, -2, -11, 6, -14, 11],\n [12, 9, 15, 6, 12, 9, -5],\n [10, -13, 6, 10, 0, 5, 0],\n [-7, -3, -6, 15, 1, 9, 5],\n [1, -6, -8, -9, -2, 6, 2],\n [5, 3, 2, -2, -6, -15, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "39", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[2, -3, 11, 1, 14, 7, 9],\n [6, 0, 8, 15, -5, 7, -7],\n [-9, 13, 6, -15, -7, -6, 0],\n [5, 13, 2, 15, -2, 12, -5],\n [8, 13, -12, 14, 3, -3, -15],\n [5, 3, -1, 4, -1, 9, -5],\n [14, 7, 11, -11, 8, 6, -6],\n [2, -9, -15, -13, 12, -15, 14]]\nB =\n[[15, 1, -1, -11, 6, 0, -4],\n [3, -2, -13, 3, -15, 5, -15],\n [10, -6, -13, -3, -10, -5, -10],\n [-13, 0, -7, -8, 11, -13, -11],\n [5, 15, -2, -11, 3, -11, 5],\n [4, 4, -14, 9, 15, -9, -15],\n [5, 2, -6, -10, -9, -4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 6, 15, 13, 3, 9, 15, -12],\n [3, -3, 11, 3, -14, 12, -7, -8],\n [5, -2, 14, 13, -7, -3, 2, -10],\n [7, 6, 15, -13, -6, 14, -6, -6],\n [-7, 14, 15, -4, 8, 15, -8, 8],\n [-7, 1, -8, 2, 4, 1, 12, -10],\n [-6, -15, 12, 5, 15, 9, -15, -7],\n [4, -13, 8, -10, -9, -7, -11, 13]]\nB =\n[[0, -14, -13, -13, 4, 10, 7, 12],\n [-6, 6, -13, -1, -2, 7, -12, -6],\n [-5, -5, -8, 15, 7, 7, -7, -8],\n [-4, 1, 7, -1, 3, 12, 4, -10],\n [-11, -8, 2, 5, 5, -1, -13, -2],\n [10, -1, 15, -3, 5, 4, 11, 5],\n [10, -7, 7, 1, 3, 9, -12, 4],\n [-6, 6, -13, 3, 15, -7, 13, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10108", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, -9, 5, -10, 8, 15, -8],\n [-14, 11, 9, 10, 12, 12, 12],\n [-2, 6, -9, -13, 4, 6, 7],\n [-10, 5, -2, -4, 2, -4, 15],\n [15, -9, -11, -4, -7, 13, -5],\n [-12, -2, 10, -4, 2, -9, 7],\n [-15, 11, 14, -3, 0, -11, 3],\n [9, -7, 7, 12, -7, -4, 2]]\nB =\n[[11, 10, 8, 10, -6, 10, 13, 1],\n [3, 8, -5, 0, -8, 14, 10, 8],\n [11, -1, 12, -5, -9, -14, 3, -7],\n [2, -3, 7, -15, 3, -3, -2, 1],\n [6, 4, -15, -11, 14, 4, -2, 11],\n [10, 14, 11, 10, 2, -3, 7, -4],\n [-1, 8, -12, -7, -13, 13, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-446", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[14, -1, 0, 14, -9, -9, 6],\n [-7, 15, 1, -3, -7, 13, -7],\n [4, 13, 12, 15, -4, 5, 3],\n [7, -1, 2, -8, 9, -10, 9],\n [-10, -13, 10, -13, -14, -11, 13],\n [14, 4, -4, -10, 0, -11, -10],\n [-12, -2, 13, -13, 1, -11, 6],\n [5, 5, 12, -10, 4, 14, 12]]\nB =\n[[-12, 11, -3, -8, -5, 8, 12],\n [3, 7, 15, -11, -11, 12, 13],\n [-13, -14, 13, -13, -1, -9, -13],\n [-1, -5, 0, -3, -14, 4, -4],\n [5, 13, -9, -15, -2, 8, -6],\n [-13, 14, -5, 6, 4, 14, 5],\n [10, 12, -1, -10, 2, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1143", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, -1, 8, 8, -15, -6, 8],\n [11, 2, 10, 10, 13, -8, -4],\n [10, -11, -15, -8, 12, -11, 15],\n [1, -1, -12, -3, 1, -3, 9],\n [10, -14, 8, -12, 9, -14, -4],\n [3, 2, -6, 14, -11, -5, -15],\n [12, -13, 1, 10, -1, -2, 8]]\nB =\n[[-1, 0, 12, -12, 3, 8, 13, 9],\n [-8, -10, 0, 14, 15, -13, -8, 13],\n [-11, -11, -4, 9, -15, -9, 8, -5],\n [-6, -13, -8, -15, -8, 7, 4, -5],\n [-9, 10, 14, 11, 0, -9, -3, -6],\n [13, 12, 1, -13, -9, -5, -3, -11],\n [9, 7, 3, -1, -15, -11, 14, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1528", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-3, -6, 13, -11, 7, 14, -15],\n [-6, 2, 11, 6, -8, 4, -13],\n [3, 3, -14, 1, 15, 0, 5],\n [-6, 5, 0, -11, 4, 15, -13],\n [12, -13, -14, 5, -12, 6, 2],\n [-14, 8, -10, -13, 5, -13, 11],\n [-14, -13, 1, -2, -9, 6, 5]]\nB =\n[[-10, -8, 3, 3, -4, -11, -11],\n [-2, 11, 1, 0, -12, 9, -8],\n [-13, 5, -11, 7, 8, 9, -9],\n [15, 2, 8, -8, -5, 13, -2],\n [2, -3, -10, -3, 10, -15, -5],\n [-9, -6, -14, 15, 0, -11, 0],\n [14, 7, 10, 0, 11, 15, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "155", "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, 14, -15, -7, -5, -11, -10],\n [14, -8, -1, 11, 0, 14, 2],\n [-4, 7, 12, -12, 9, 6, 0],\n [7, -5, 6, 11, 8, 6, -9],\n [8, -1, 1, -1, -6, 12, -12],\n [6, 1, -12, 6, 7, 13, 6],\n [-5, -12, -4, 13, 7, -6, -2],\n [2, -10, -11, -14, 9, -3, 7]]\nB =\n[[-2, -13, 15, 7, -5, 11, 6, 7],\n [-12, -3, 13, 10, 13, -8, -8, 7],\n [-3, 7, -6, -3, -3, 8, 1, -10],\n [-14, 1, -4, 10, 7, -10, -11, 15],\n [-11, 9, -7, 12, 12, 6, 13, 15],\n [-13, 7, 4, -11, -9, 15, -4, -9],\n [15, -6, -8, 1, -11, -1, 12, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10167", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, 7, -5, 12, -3, 2, 1, 8],\n [-7, -6, -11, 14, -5, 6, -1, -14],\n [11, 5, 12, 4, 8, 8, -2, -11],\n [11, 8, -10, 10, 6, 13, -1, 13],\n [-12, -6, 12, 11, 3, -7, 5, 10],\n [-6, -12, 6, 14, -12, 15, -10, 10],\n [-8, 0, -8, 12, 0, -10, 1, 13]]\nB =\n[[-15, 14, 3, 2, 1, 1, 12],\n [-4, -4, -10, -9, 15, -8, -13],\n [1, 5, -8, 12, 11, 14, -5],\n [4, 2, 0, 9, 12, -3, -7],\n [3, -9, 13, 1, -8, -8, 13],\n [-13, 0, -4, -1, 5, -12, 7],\n [11, -9, -5, 8, -11, -3, -5],\n [-11, -8, 5, 13, 14, 13, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1773", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, 3, 2, 12, -6, -11, 13],\n [8, 15, 9, 9, -15, 1, 1],\n [-15, 9, -15, 7, 6, -7, 11],\n [9, -12, -7, -2, -1, 0, 0],\n [-3, -2, 6, 5, -7, 15, 7],\n [-7, 5, -12, -6, -13, 5, -7],\n [3, 0, 0, 1, 2, -6, 5],\n [3, 6, -1, -1, -5, -8, 6]]\nB =\n[[0, -6, -7, -1, 6, 14, -11, 4],\n [-14, 6, 0, 2, 0, -11, -15, 3],\n [-6, 5, 13, -3, 7, 8, 7, 7],\n [-5, -1, -14, -10, 5, -5, -1, -7],\n [-4, 10, 11, -12, 12, 7, 11, 8],\n [-2, 6, -13, 11, 5, 1, 14, -3],\n [-8, -4, -4, -4, 11, -14, 13, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-440", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, -7, -15, 13, -12, 7, -2],\n [0, 9, 2, -14, -10, -13, 4],\n [3, -3, 1, -2, 14, 6, -5],\n [0, -5, 13, 2, -14, 7, 5],\n [-8, -2, -14, -3, -6, -8, -9],\n [-3, 10, 14, 8, 11, 3, 8],\n [-1, 6, -14, 6, -11, 3, -15]]\nB =\n[[-9, 2, -15, -15, -9, 12, 1],\n [9, -10, 4, -4, 4, -1, -3],\n [-4, 14, 5, -14, 5, 2, 12],\n [-12, -6, -5, 14, 5, -10, -10],\n [-7, 4, -3, 14, -11, -10, -12],\n [-10, 2, 12, -3, 7, -13, 14],\n [-6, -12, 9, 15, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-960", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[13, 5, 9, 10, 13, 10, -6, -4],\n [10, 6, -8, 5, 5, -13, -9, 2],\n [11, 12, -13, -1, -14, -1, -3, 8],\n [4, -6, 8, 8, 8, 8, -8, 0],\n [12, 9, 0, -14, -7, -8, -5, 10],\n [-15, 14, 5, -5, 2, 10, 5, 13],\n [-1, 8, -7, -7, -15, -9, -4, 11],\n [8, -6, 3, 13, 0, -10, -5, 3]]\nB =\n[[9, 13, 3, 2, 9, -1, 11, 13],\n [0, -2, -8, -8, -14, -10, -3, -3],\n [5, 14, -4, -14, 5, 4, 9, -4],\n [1, -10, -9, 15, 12, -10, 5, 12],\n [-12, 5, -7, -11, -6, -1, -8, 7],\n [-12, 10, -11, -9, -10, -3, 3, -6],\n [-1, -13, 2, -2, -13, -5, -6, 13],\n [1, -3, 9, -14, 12, -3, 3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1936", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -6, -4, 4, -3, 5, 0, 6],\n [5, 10, -15, 6, -7, 0, 3, -1],\n [2, 6, -4, -2, -13, -12, -10, 0],\n [12, -3, -4, 6, -4, -14, 13, -3],\n [-13, -3, 9, -14, 3, -7, 4, 15],\n [-15, 11, -3, -14, -1, 3, 9, 15],\n [9, 0, -5, -1, -10, -2, 11, -10],\n [3, -11, 15, -5, -12, 10, 10, 12]]\nB =\n[[-7, -7, 1, -8, -1, -7, -11],\n [-12, 10, 4, 2, -7, 5, 11],\n [-13, 6, -7, -7, 12, 13, 5],\n [8, -12, 5, -9, -9, 13, 7],\n [-8, 11, 5, 15, -15, 11, -7],\n [9, 15, 7, -4, -10, -3, 13],\n [-11, 5, 15, 3, 10, -15, 6],\n [8, 14, 2, -8, 8, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -1, 3, -6, 8, 0, -5],\n [15, -4, 0, 0, 12, 14, 4],\n [-13, 11, -7, -8, -6, 13, -3],\n [2, -3, -3, -1, -3, 14, 0],\n [-8, 11, 11, 3, -6, -4, -2],\n [-10, 5, 8, -7, 11, -9, -10],\n [6, -15, 5, -2, 8, -10, -4]]\nB =\n[[1, 15, 15, -11, 13, -5, 12],\n [-11, -4, -13, 8, 15, -7, -10],\n [6, -14, 10, -14, 6, -4, -8],\n [-14, -7, 13, 0, 12, 14, 9],\n [-1, -2, 4, -12, -12, -5, 5],\n [8, 2, 11, -11, 14, -14, -1],\n [-5, 11, 8, 1, 0, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9691", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, 4, 14, -1, 8, 3, 12, 13],\n [-3, 0, 7, -4, 1, 0, -7, 13],\n [-10, 3, 7, 15, -3, 5, 8, -8],\n [-4, -7, 6, -12, -3, -14, -13, -11],\n [8, 12, 10, 2, 5, -2, 9, -14],\n [-1, -8, 0, -13, 8, 4, 4, 12],\n [7, -11, -12, 7, -4, 3, -1, 9],\n [14, -3, -11, -4, 3, -14, -9, 12]]\nB =\n[[7, 12, 13, -11, 4, 13, -5],\n [2, 2, -9, -6, 7, 4, -2],\n [4, 4, -5, -14, -3, -3, -7],\n [1, -1, 8, 6, 15, 13, 10],\n [7, 12, 5, 6, 6, 13, 0],\n [9, -6, 13, 4, 12, 11, -4],\n [13, -11, 4, 1, -6, -10, 5],\n [4, -10, -4, 5, 3, -14, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1426", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[6, 4, -5, -1, -3, 10, -13, -2],\n [-8, 12, -7, -1, 7, 2, -8, -5],\n [13, 13, 11, -11, 15, -1, -1, 11],\n [10, -9, 5, 2, 12, -4, -4, -12],\n [13, -5, 5, -10, 5, -6, 11, -1],\n [-15, 1, 15, -13, 9, -5, 2, -6],\n [5, -7, -9, -5, -8, -14, -11, -7]]\nB =\n[[-15, 1, -6, -8, 2, 9, -6, -7],\n [-12, -14, 3, -6, 1, -13, 5, 3],\n [3, 10, 6, 3, 3, -1, 9, 2],\n [1, -6, 8, 13, -2, 3, 7, 2],\n [-5, -5, -4, -8, 0, 9, 8, -8],\n [8, -2, 7, 2, 8, 5, 6, -12],\n [1, -3, -11, -13, -7, 4, 10, 2],\n [4, 3, 3, 5, 0, -15, -11, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[15, -1, 10, -4, 9, 12, -15],\n [-2, 2, 2, -10, -15, 11, 1],\n [2, -1, -4, -3, 4, -14, -12],\n [-13, 3, 15, 9, -8, -4, -4],\n [-6, 9, -15, 12, -11, 12, 12],\n [4, -5, 14, -7, -2, -13, -11],\n [8, 10, 15, 5, -7, 2, -10]]\nB =\n[[5, 9, -9, 0, -8, 7, 13, -6],\n [10, -11, -5, 13, 14, 5, -3, 11],\n [4, -14, -2, -7, -6, -6, 12, -6],\n [10, 3, -5, -5, -13, 3, 8, 6],\n [-15, -4, 13, -1, -2, -13, 4, -3],\n [2, 0, -10, -6, 12, 1, 1, -8],\n [-12, 15, -1, -15, -9, 9, -6, -9]]\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[[-15, 1, -4, 1, -1, 8, 0],\n [7, -2, -13, 3, -4, 3, 2],\n [14, -2, 4, 7, -7, -13, 10],\n [7, -4, 15, 4, 1, -11, -8],\n [3, 10, -12, -1, 3, -1, 10],\n [-2, 14, 0, 8, -6, 8, -2],\n [4, -5, -14, 12, 3, -13, -12]]\nB =\n[[-5, -3, 2, 2, 3, -4, -15, 8],\n [-10, -13, 1, -13, -15, -13, -12, -10],\n [-9, 7, 9, -8, -3, -12, -10, -5],\n [-15, -8, 6, -14, -8, 4, -7, -12],\n [1, -9, -6, -11, -6, 11, -4, 5],\n [4, -10, -15, -13, 11, 12, -9, -5],\n [8, -4, -7, -15, -12, -14, -14, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1644", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 5) of the product of the following matrices:\nA =\n[[5, -14, -12, 9, -5, 3, 15, 8],\n [10, -3, 6, 10, 5, 2, 11, 13],\n [3, 8, -1, 12, -4, 9, -5, 11],\n [7, -15, 0, 12, 12, -3, 13, -10],\n [7, 12, -10, -6, 11, 13, -14, 13],\n [9, -13, -10, 0, -10, 8, -3, -12],\n [-1, -10, -15, -7, -4, 9, 7, -5]]\nB =\n[[-3, -15, 3, 12, 5, -12, -11],\n [7, 9, 1, -11, 3, -13, -5],\n [-14, 6, -2, -10, 3, -15, -9],\n [-14, 8, 3, -15, 10, -7, 5],\n [1, -6, 11, -10, 10, -13, 11],\n [15, 4, 8, -1, 5, 12, 6],\n [10, 4, -10, -13, -6, -4, -15],\n [6, 14, 13, 0, 1, -6, -4]]\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 trace (sum of diagonal elements) of the result:\nA =\n[[3, 12, -8, 7, -8, -6, -6, 2],\n [-6, -9, 14, -12, -15, -5, 3, -11],\n [14, 10, -8, -14, -14, 8, -2, -7],\n [-6, -3, 13, -15, -2, -14, 15, -12],\n [12, 3, -15, -12, -5, -3, 11, 2],\n [-6, -11, -15, -2, 0, 8, 10, 2],\n [11, -13, -13, -12, -9, -3, -7, -13],\n [1, -1, 11, -6, -1, -15, 12, 11]]\nB =\n[[6, 5, -6, -9, -9, -13, -9, -7],\n [-8, -13, 10, -11, -3, -3, 14, -8],\n [2, 14, 14, -9, 11, -6, -6, 7],\n [-5, -4, 14, -3, -8, 1, 8, -2],\n [1, 3, 0, -7, 4, -6, 13, -7],\n [-15, 8, -13, -5, -9, 2, -3, 7],\n [7, 9, 2, 0, 8, 0, 5, -6],\n [-7, -8, 3, -13, 11, 12, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-302", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -14, 3, 14, 14, -8, 2],\n [-8, -11, -10, 14, -6, -1, 12],\n [-12, -13, 8, -7, 15, 0, 13],\n [0, -1, 8, -7, 1, 5, -4],\n [7, -8, -2, 11, 2, -4, 11],\n [-2, 4, 7, -11, -15, -3, -2],\n [-14, 0, -11, 6, -15, -4, 3],\n [6, 6, 7, -6, -4, 14, 14]]\nB =\n[[3, 0, 1, -3, -9, 12, 11],\n [-13, -11, -12, 12, -1, 1, -4],\n [7, -2, 13, -12, 1, -5, -10],\n [-12, -3, 4, -1, 2, 1, 3],\n [-6, -11, -4, 9, 14, -1, 7],\n [-12, -8, 12, 4, 6, 12, 1],\n [14, -10, 0, 10, -11, -2, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6906", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[1, 13, -10, -5, -14, 9, 9, -15],\n [15, -11, -8, -12, 3, -11, -11, 8],\n [0, 6, 15, 2, -5, 1, 13, -13],\n [2, -12, 3, 15, 15, -7, 15, -11],\n [-12, 0, -6, -7, 0, 4, 6, 14],\n [10, 1, 15, 13, 2, -1, 4, -7],\n [-10, -10, -5, 9, 12, 4, -13, 7]]\nB =\n[[-4, -1, -9, 9, 15, 6, 2, 6],\n [-1, -8, 6, -7, -1, 0, 4, -13],\n [11, -11, -13, 11, 12, -14, -14, -12],\n [-13, -7, 14, 7, 6, 10, -4, 8],\n [-7, 3, -4, 0, 10, 7, 9, -15],\n [-6, 9, 14, 7, -6, 14, -12, 13],\n [15, -5, 12, 6, -5, -5, 6, -10],\n [-1, -14, 5, 7, 6, -13, 11, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-477", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, 13, 8, -5, 5, -4, 10],\n [-13, -7, 11, -13, -14, -10, 8],\n [-10, 1, -8, -15, 9, -8, 6],\n [-1, 2, -3, 9, -8, 13, 4],\n [2, -3, -2, -1, -10, -15, -9],\n [-15, -1, 13, -10, -11, -4, 10],\n [14, -13, 6, 4, -2, 12, -10],\n [-12, -1, 1, -11, 8, -10, -6]]\nB =\n[[-7, -12, 10, -7, -8, -13, 14, 6],\n [4, -15, 9, 4, 11, 14, -11, -13],\n [-12, 13, 9, 15, 7, 8, 3, -1],\n [3, 15, 0, 14, 7, -8, -2, -11],\n [-15, 3, -11, -13, 15, 14, 1, -9],\n [1, 10, -3, 6, 6, -2, 7, -4],\n [-5, -15, 11, -13, -4, -7, -14, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11053", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 2) of the result:\nA =\n[[-11, -13, -4, -4, 13, 5, -9, -15],\n [-13, -5, -3, 6, 7, -6, 3, -12],\n [6, -11, -5, -7, -3, 12, 1, -1],\n [-3, 5, -5, -15, -8, 7, -11, 6],\n [0, -12, 9, 14, 3, 2, 7, 13],\n [-14, -3, 0, 6, 11, -8, 3, -13],\n [3, 1, -7, 5, 9, 5, 7, 1]]\nB =\n[[9, -15, 15, -12, 7, 11, -1],\n [-4, 9, 1, -4, 0, 14, -3],\n [-5, -1, 13, 0, -10, 11, 10],\n [-5, -1, -11, -13, 10, -14, -15],\n [-1, -14, 12, 13, 4, -10, -4],\n [5, 0, -2, -12, -8, -4, 7],\n [-2, 4, 10, -3, 13, -11, -4],\n [-6, 5, 3, -3, -7, -5, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[12, -3, -6, 2, 13, -1, 4, -4],\n [-12, -11, -8, -11, -15, 2, 15, 3],\n [3, -6, 6, -7, 10, -15, 6, 9],\n [4, 10, -13, -3, -10, -10, 13, 2],\n [15, -11, 1, 13, 9, 9, -13, -11],\n [15, -13, 7, -3, -1, 1, -1, -11],\n [6, -2, -5, 12, -2, -9, -13, 7]]\nB =\n[[4, -6, -5, 14, -10, -11, 4],\n [6, -3, -4, 3, 3, 5, 11],\n [-11, 9, 15, 4, 5, 12, -7],\n [-12, 13, -1, 15, -13, 7, -9],\n [8, 4, 4, -2, -2, -7, 10],\n [7, -13, 15, 13, -7, 13, 5],\n [-12, 1, 9, -10, 0, 11, 2],\n [-3, -9, -13, 15, -10, 8, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8099", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[13, 12, -4, -11, 14, 6, 1, -6],\n [-9, -12, -6, 11, 15, -9, 7, -5],\n [5, -8, -8, -11, -11, -9, 6, -12],\n [-14, 8, 3, -14, 0, -4, -1, -6],\n [7, 10, -10, 8, -3, 14, -10, 7],\n [-14, 10, -2, 2, -10, 9, 14, 3],\n [11, 10, -2, 14, -3, -8, 15, -11],\n [-3, -10, 6, 11, 12, 10, 11, 13]]\nB =\n[[3, -5, 11, 0, -11, -4, 1, -14],\n [-6, -1, 3, 4, 13, 9, 1, 3],\n [3, -3, 15, -3, 0, 6, 5, -13],\n [-12, 11, -9, -13, -7, -8, 13, 2],\n [5, -2, 4, 12, 13, -11, -13, -6],\n [15, -5, 1, -8, -7, -8, 4, 12],\n [-14, -12, 14, 0, -7, 10, -7, 5],\n [-11, 10, -13, -2, -1, -10, 0, 7]]\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 value at position (7, 5) of the result:\nA =\n[[12, 15, -6, -2, 15, -4, -7, 7],\n [3, -4, -3, 7, -3, 1, -14, 4],\n [7, 15, -7, 15, 5, 15, -8, -9],\n [-11, 13, 3, -13, -3, -10, 10, -5],\n [-12, -13, -12, -13, -3, -1, -4, -1],\n [15, 10, -5, -5, -3, -4, -10, 13],\n [7, 4, 3, 3, 11, -13, 0, -7]]\nB =\n[[11, 11, -2, 14, 12, 15, -13, -13],\n [8, 4, -9, 3, 8, -13, 5, -15],\n [-4, 5, -10, -9, -14, 2, 14, 9],\n [-1, -1, -6, 1, 2, 2, 15, 13],\n [-1, 10, 7, -10, -7, -5, -1, 7],\n [-13, 3, -15, 8, 1, -5, 14, 2],\n [-5, 12, -9, -15, -4, -12, 9, -8],\n [-1, -5, 14, 13, -8, -4, -13, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[15, -12, 11, -4, -8, 11, 7],\n [14, 7, -6, 10, 7, -15, -3],\n [15, -9, 4, 12, -13, 13, 0],\n [-4, 13, 15, -11, 2, -8, -4],\n [12, 9, 5, -13, 0, -6, 7],\n [1, -6, -13, 9, -14, 11, -2],\n [-7, 11, 1, -12, 12, 10, 13]]\nB =\n[[6, -1, -3, 7, 15, 15, 3],\n [-7, -12, 5, -8, 15, 12, -1],\n [-2, -13, 8, 14, 14, 11, 1],\n [-8, -2, -3, -1, -5, 11, -1],\n [-4, 10, 8, 6, 5, -7, 6],\n [-1, -15, -4, -10, -15, 6, 3],\n [6, -3, -10, 1, -3, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8208", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, -1, 2, -14, 5, 15, 10],\n [-14, -5, -15, 2, 5, 11, 15],\n [10, 14, -9, 5, 1, 0, -9],\n [6, -9, -14, -11, -2, -8, 13],\n [-4, -9, -10, -3, 6, -4, 1],\n [0, -15, -9, -13, -10, 12, 5],\n [-13, 6, -13, -8, -2, 15, 7],\n [-7, -11, 12, -1, 1, 11, -6]]\nB =\n[[15, 11, -8, 2, -10, 1, 6],\n [-12, 5, -1, -6, 7, -3, 6],\n [-15, 9, 6, 6, -7, 12, 10],\n [-11, -5, 15, 6, 6, 7, 9],\n [5, 5, -12, 10, 4, 0, 12],\n [8, 13, 2, 10, -8, -14, 15],\n [1, -6, -3, -1, -7, 11, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1356", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -12, 2, 8, -13, 10, -12, 5],\n [-3, 4, -5, -8, 9, -2, -2, 0],\n [-2, -15, -14, 12, 4, -15, -5, -10],\n [-1, -4, -11, 13, 7, -4, 6, -2],\n [-2, 3, -11, -13, 9, 2, -10, -7],\n [10, -9, 5, 2, -14, 4, -6, -4],\n [-14, 12, -3, 13, -8, 10, 7, -9]]\nB =\n[[-13, 7, -8, 5, -15, -1, -15, -4],\n [-5, 0, 14, -12, -14, 7, 13, -13],\n [12, -12, 9, 2, -4, 8, -15, -13],\n [-12, 14, -10, 1, 14, -8, 2, 0],\n [5, -10, 8, 3, 12, 9, 12, 5],\n [-8, -12, 12, -7, -8, 5, 3, -15],\n [15, 5, 5, -12, -6, 10, -8, -13],\n [-4, 10, -7, -13, -12, -10, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2251", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-14, -14, 2, 5, 6, -13, -13, 2],\n [11, -10, -15, 9, -1, -5, -6, -12],\n [-2, -14, -3, 0, -4, 6, -11, 3],\n [13, -13, 5, 4, 5, -14, 11, 1],\n [5, -5, -15, 3, -8, 15, -5, -8],\n [9, 1, 4, -10, -9, 5, -3, -9],\n [-5, 15, -6, -8, -6, 6, -5, 4],\n [1, -5, 0, -11, -6, 10, 10, 4]]\nB =\n[[-11, 4, -7, -13, -13, 15, -6],\n [-9, -14, 9, -8, -4, 14, 6],\n [14, 13, -7, -5, 3, 4, 7],\n [1, -3, -15, -15, 12, -8, -3],\n [-10, -13, 0, -6, -9, 6, 5],\n [-13, -2, 0, -12, 15, 13, -3],\n [11, 11, -15, 9, -11, 2, -4],\n [-5, -7, 12, -9, -2, 14, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-482", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[13, -13, 0, 14, -9, 11, -15],\n [-10, 10, -10, 11, -6, -4, 6],\n [3, -10, -2, -13, -6, -7, 7],\n [14, 13, 4, 3, 6, -1, -7],\n [3, -8, 6, -12, -11, 3, -2],\n [2, 9, 13, 3, -10, -11, 10],\n [-5, 8, -11, 11, -8, 11, -11],\n [-5, 10, -3, -10, 15, -11, 2]]\nB =\n[[10, -6, 0, 6, -2, 7, -1],\n [-13, -13, -4, 7, -1, -5, -6],\n [4, -1, 2, 9, 15, -2, 13],\n [9, -10, -2, 0, -14, 3, -11],\n [-5, -5, 15, 5, 13, 9, 10],\n [3, 2, 10, -8, 7, -4, -7],\n [-13, -10, 5, 5, 10, 8, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -13, 11, 2, 2, -14, -12],\n [-15, -6, 15, 9, 14, -11, -11],\n [-7, -2, 5, -3, -3, 11, 14],\n [8, 11, -15, 1, 4, -8, -13],\n [1, 11, -4, 9, 9, 9, 9],\n [2, -2, 14, -5, 11, 0, 11],\n [-12, 15, 2, -9, -5, 0, 0]]\nB =\n[[-13, 9, 7, 8, -7, -8, -9],\n [15, 9, 11, 1, -5, 15, -12],\n [-12, -11, -8, -6, 1, -10, -7],\n [-6, -8, -1, 2, 7, -11, 2],\n [11, -15, -14, 11, -6, -10, 11],\n [12, 8, 3, 5, 15, -5, 2],\n [12, 0, -8, -12, -5, -6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9458", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 6, -13, -5, 15, 8, 0, 8],\n [-13, 12, 9, -6, 13, 5, 0, 10],\n [9, -9, 15, -1, -1, -6, -13, -10],\n [10, 2, 6, 12, -11, 0, -3, -13],\n [14, -1, 7, 11, 4, 11, 14, -10],\n [9, 12, 14, 6, -12, -1, 10, 15],\n [2, -7, 15, 14, 4, -12, 0, 2],\n [15, -11, -3, -10, 10, 6, 3, -4]]\nB =\n[[15, -1, 14, -7, -9, 13, -2, 3],\n [4, 0, 7, 11, 8, 6, -12, -4],\n [2, 10, -8, 1, 9, 15, 8, -13],\n [10, -12, -6, 0, 4, -14, -4, 0],\n [11, -6, -11, 13, -4, -13, -4, 11],\n [-15, -14, -5, -4, -9, 15, -15, 15],\n [12, -3, -3, -14, 14, -6, 7, -15],\n [-9, -3, 8, 11, 13, 14, -14, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1356", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-9, 1, 6, -11, -5, 6, 8],\n [-5, -5, 1, 3, 11, 13, 9],\n [12, -8, 4, 11, -2, -6, 9],\n [-9, -14, 1, -15, -3, 3, 13],\n [-2, 15, 10, 2, 4, -2, -1],\n [-2, 8, -11, 0, -11, 6, -3],\n [12, 0, -1, 15, -11, 5, 15],\n [14, 7, -10, 13, -3, 0, 14]]\nB =\n[[-6, 11, -14, -3, 1, -15, -12, 2],\n [-10, 12, -4, 9, 10, 11, 15, 14],\n [10, 8, 4, -3, 12, -14, 1, 7],\n [-6, 3, 14, 6, -11, 5, -4, 2],\n [14, -7, -5, -12, -6, -15, -14, -7],\n [7, 10, 2, 0, 7, -2, -12, 10],\n [-14, -4, 4, -11, 13, 14, -12, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-13, 6, 1, -8, -4, 5, -8],\n [10, 4, 4, -11, 5, 11, -10],\n [-11, 5, 13, -8, 6, 2, -12],\n [-12, -11, 15, -1, -10, 11, 5],\n [0, -2, -2, 0, 11, 6, 8],\n [-12, -5, 3, 9, 3, 11, -8],\n [-6, 12, -11, 0, 9, -13, 10]]\nB =\n[[-6, 8, 14, 13, -3, -9, -4, 7],\n [-2, 11, -6, -7, -4, 8, -13, 14],\n [-3, -10, 11, -10, 5, 3, 9, -9],\n [-12, 6, -11, -15, 2, 1, -7, -7],\n [5, 8, -6, 4, 1, -3, 13, -12],\n [7, 11, 2, 2, 6, -7, -13, -9],\n [10, -1, 14, -7, 11, 13, -7, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-639", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 2, 15, 1, 6, 5, -10, -9],\n [9, -6, -6, 11, -10, -10, 13, 15],\n [3, 13, -8, -7, -15, 0, -10, 7],\n [11, -8, -1, -4, -6, 0, -1, -5],\n [8, -9, -8, -5, -7, 10, -9, -1],\n [-1, 0, -13, 0, -1, 9, -15, -2],\n [8, 6, -5, -13, -7, -10, 15, 7],\n [0, -5, 2, 1, 1, -13, 11, 3]]\nB =\n[[8, 7, -1, -6, -8, 1, -12, -8],\n [10, -14, 7, -8, 14, 9, -9, 12],\n [-7, 2, 11, 1, -15, 11, -4, -12],\n [1, -9, 8, -13, 14, -15, 3, -14],\n [-10, -5, 7, 9, 5, -12, -15, -5],\n [0, 14, -10, -5, -8, 4, -15, -2],\n [14, 5, 10, 5, -14, -10, 10, -7],\n [-2, 6, -8, 10, -13, -6, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11706", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 8) when matrix A is multiplied by matrix B?\nA =\n[[12, -7, -7, 3, 12, -3, -15],\n [1, -12, -12, 11, 0, 12, 0],\n [-1, 10, -10, -11, 6, -6, -9],\n [-9, -6, 14, -6, 9, -1, -10],\n [8, -14, -8, 9, 4, -1, 5],\n [5, 2, -11, 9, -12, -6, 3],\n [-2, 7, 8, -3, 13, -6, 6],\n [-10, -3, 5, -5, 6, 9, -1]]\nB =\n[[-14, 10, 11, -1, 3, 1, 4, 2],\n [-10, -1, 13, 15, 1, 8, 10, 6],\n [-7, -4, 6, 10, 7, -11, -2, 8],\n [-8, 10, 9, 12, 6, 1, -7, -13],\n [9, -9, 14, -4, 13, -13, -7, -2],\n [7, 7, 7, 2, -5, -12, 10, -8],\n [12, 2, -3, -12, -6, -8, 15, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 8) of the product of the following matrices:\nA =\n[[3, -4, 6, 12, -14, 8, -8, 12],\n [-3, -15, -13, 14, 15, -14, 7, 7],\n [4, 12, 12, -8, -13, 14, 9, 5],\n [14, 13, -1, 14, -14, 9, 1, 11],\n [8, -10, 12, -15, 14, -12, 3, -9],\n [7, 6, -2, 10, -2, -6, 12, 8],\n [-9, 0, -12, -9, -1, 1, -13, 0]]\nB =\n[[-14, -9, 9, 0, 5, -7, -4, 13],\n [8, -15, -2, -5, 2, 6, -11, -1],\n [11, -9, 9, -2, 4, -8, -12, -13],\n [-4, 2, 8, -1, -5, 8, -5, -4],\n [3, 1, 13, -10, 5, -8, -1, 6],\n [4, 10, -6, 12, -1, -4, -5, 2],\n [8, -11, -4, 15, 8, 15, -11, 6],\n [13, 15, -6, -2, 0, -11, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "143", "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, -8, 3, 4, 6, 2, 14, 7],\n [5, -4, 10, -3, 5, 5, 13, 13],\n [2, 11, 13, -1, -1, -4, 10, -7],\n [3, -4, 7, -11, 10, 10, 5, 15],\n [4, -6, 6, -9, 7, -5, 12, 15],\n [-8, 5, -9, 0, 12, 0, -2, -1],\n [4, 15, -7, 0, 0, -11, -13, 5],\n [9, -3, 13, 11, -8, 1, -11, -10]]\nB =\n[[15, 13, 10, 13, 11, -14, 14, 15],\n [6, -2, 9, 14, -12, -13, -7, 2],\n [-4, -7, 11, 10, 11, 11, 2, 14],\n [-3, 11, -2, 15, -6, -13, 13, -9],\n [2, 0, 1, 9, -10, 9, -4, 3],\n [-13, 10, 12, -13, 2, 13, -5, -10],\n [3, -11, -3, 11, -11, 10, -13, 3],\n [1, 6, -13, -1, 1, -3, -2, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11498", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[13, 10, 0, 9, -5, 1, -11],\n [5, -1, 2, 0, -2, -2, -3],\n [-15, -10, 15, 7, -5, -5, 9],\n [0, 8, 10, -13, 9, 1, 13],\n [6, 13, -2, 10, -14, 10, 9],\n [-7, -8, 13, -5, -9, 14, 6],\n [-14, 14, -12, 10, 7, -2, -3]]\nB =\n[[6, 9, -3, -3, -11, 12, -4],\n [-10, 10, 6, -2, -8, 8, 6],\n [-8, -9, 1, 5, -5, 15, 10],\n [-6, -3, -6, 5, 10, -2, -7],\n [-9, -9, 10, 15, 2, 0, -8],\n [0, 3, -1, 9, -1, -10, -7],\n [-1, 9, -9, 10, 12, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "422", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 0, -1, -13, -15, -3, 6, 13],\n [-4, 15, -7, -14, -7, -8, 11, 9],\n [-11, -3, -14, -6, 10, -10, -9, -13],\n [-2, 0, -10, 6, -8, -15, 4, -1],\n [1, 8, 2, 8, -13, 8, -10, 1],\n [7, -3, 7, 6, 15, 1, 5, 0],\n [1, -15, 0, -10, -8, -15, -14, -1]]\nB =\n[[-11, 8, 11, 4, -1, 14, 5, -6],\n [-11, -13, -10, 5, -1, 2, -2, -6],\n [14, -12, -5, 4, -9, -1, 7, -7],\n [-1, 10, -4, 2, -10, 2, 9, 2],\n [6, 8, -10, 12, -1, 3, -11, -12],\n [1, 5, -6, -4, -11, -9, 15, -4],\n [7, -14, 14, 4, 1, -3, -11, -11],\n [4, 10, -4, -4, -9, -10, 13, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "552", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[3, 0, -14, 15, -12, -7, 10],\n [-11, -15, -5, 3, 9, 7, -13],\n [-15, -12, -7, 12, 0, -9, -11],\n [-3, -5, -2, 6, 1, 7, -4],\n [5, 7, 5, 5, 3, -11, 8],\n [14, -8, -14, 11, 1, -14, 11],\n [7, -13, 8, 4, 10, 10, 8],\n [14, 2, 13, 14, -1, -11, 6]]\nB =\n[[1, 15, -2, -15, -2, -7, -11, 15],\n [15, 14, -12, 14, -15, 15, -13, 13],\n [4, -5, 0, -5, 5, 14, -6, -4],\n [14, -11, -6, 8, -3, 13, 3, -9],\n [14, 0, 13, -10, -6, 11, -6, 10],\n [-5, 6, -6, 9, -2, -1, -9, -3],\n [-5, -9, -5, -2, 1, 0, -15, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-459", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 12, 11, -6, 3, -1, 0, -5],\n [11, 8, 9, 1, 12, 14, 3, -3],\n [-10, -1, 0, -12, -8, 15, 9, -9],\n [11, 1, 0, 14, -14, 1, 9, -12],\n [10, -2, -8, -11, -11, -11, 11, -11],\n [-13, -10, 14, -15, -8, -3, 4, -10],\n [2, 2, 0, -8, 14, 1, -8, -1]]\nB =\n[[10, -6, 15, -15, 15, -7, 1, 4],\n [9, -15, -7, -2, 8, -11, -10, -11],\n [-12, 12, 0, 0, -6, 15, 15, -2],\n [-3, 12, -12, -2, 10, 8, 8, -7],\n [-13, -6, -1, 8, 15, 3, -14, -14],\n [-7, -12, -11, -14, 9, -9, 3, -10],\n [7, 0, -2, -4, -10, 10, 11, 10],\n [6, -3, -1, 8, -2, -8, 5, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1173", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -5, 5, -7, -4, 10, -10, 3],\n [-13, 14, -15, -1, -1, -11, 6, 8],\n [-5, 9, 7, -15, 7, -6, 9, 4],\n [-5, 12, -9, 9, 1, -4, 10, 9],\n [-12, -4, 8, -13, 2, 13, -4, 8],\n [8, 3, -3, 0, -8, 11, 11, -10],\n [-6, 9, -6, 13, -10, -8, 2, 1],\n [10, -6, -14, -4, 4, -6, -7, 0]]\nB =\n[[-9, -7, 9, 9, 8, -10, 14, 11],\n [-6, -9, 15, 2, -5, -15, 13, 5],\n [8, 3, 7, -11, 12, 10, 13, 8],\n [-10, 6, -9, 7, -12, 10, 0, 12],\n [-6, 10, -1, -3, -8, 6, 11, -3],\n [8, -9, 1, -12, -9, 0, 9, -14],\n [15, 5, 9, 9, 6, 7, 9, -2],\n [-2, 10, -8, 14, 10, -10, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-686", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[-9, -14, 9, -12, -3, 13, -6],\n [-7, -1, 15, -4, 11, 15, -6],\n [3, 5, -11, -9, 12, 4, -5],\n [0, 15, -3, 12, -12, 0, -3],\n [15, 13, -15, 6, -12, 11, -1],\n [10, 10, 5, 14, 15, 15, 11],\n [9, 0, -12, 1, 15, -5, 9]]\nB =\n[[-11, 10, -3, -4, 13, 11, 7],\n [-13, -12, 12, -6, -7, -6, -3],\n [-15, -4, -5, 5, -8, 10, 7],\n [-2, -2, 4, 7, 1, 6, 9],\n [3, 4, 8, 12, 5, 5, 15],\n [1, -10, -2, 2, 1, -10, -11],\n [-3, 0, 5, -7, -4, 15, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, -3, 3, 0, 1, 0, 14, -2],\n [0, 8, -1, -4, -11, -5, -11, 8],\n [8, -5, -14, 3, 10, 10, 1, 15],\n [3, -4, 4, 11, 7, 9, 12, -11],\n [-4, 0, -15, -14, -6, -14, 9, -6],\n [7, 2, -15, -11, -4, 1, 9, 3],\n [2, 14, -3, 6, -13, 5, -6, -2],\n [-8, -6, -14, 12, -3, -11, -5, 8]]\nB =\n[[-15, 10, -6, 14, 11, 13, 12, -3],\n [12, -12, 5, 14, -6, -4, -2, 11],\n [-13, 12, -14, 12, 3, 15, -5, 5],\n [-9, 2, 13, 15, -2, -9, 6, 14],\n [-9, 7, -7, 7, 14, -4, 13, -10],\n [10, 8, -9, 6, -12, 0, -9, 12],\n [-8, -8, 12, 12, 4, 10, 9, -13],\n [-7, 3, -3, -9, 4, 5, 13, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "261", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -14, -4, -8, 14, 7, 7, -8],\n [-3, -15, 12, 8, -6, 12, 14, 14],\n [5, 8, -7, 13, -14, 3, 6, 9],\n [-2, -6, -6, -8, -2, -3, -10, 5],\n [14, -3, -13, 12, 4, 13, -3, 7],\n [7, 3, 0, -12, -13, -1, -1, 2],\n [6, -9, 4, -11, -8, 9, 7, -6]]\nB =\n[[14, -15, -5, 14, -13, 11, 5],\n [-13, -1, 1, 2, -8, 7, -3],\n [-6, -13, 4, -2, -3, -13, -3],\n [4, 8, 9, 7, -7, 14, 9],\n [0, 7, 7, -8, -4, 10, 12],\n [-4, 3, 8, 1, 13, -1, 6],\n [2, -9, -3, 3, 0, -5, 10],\n [-11, 10, -14, -15, 0, -11, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-402", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[15, 9, -9, 14, -7, -12, 3, 11],\n [4, -1, -9, 8, 2, -11, 5, 13],\n [9, 13, 13, 15, -3, -13, 12, -10],\n [15, 10, -4, 5, 2, 2, -12, 12],\n [4, 15, 7, -2, 12, -2, -15, -5],\n [6, 11, 13, -7, 2, 12, -11, -6],\n [-1, 11, -6, 0, -12, -12, -8, 14],\n [-10, 7, -5, 12, 9, -3, 3, -5]]\nB =\n[[-14, -13, -1, 8, -3, 9, -6, -11],\n [8, 14, -5, 7, 12, -2, 12, 13],\n [9, 4, -1, -3, 10, -13, -7, -8],\n [-1, 7, -15, -14, -7, 5, 1, -7],\n [-15, -8, -11, 14, -5, 12, -10, 1],\n [2, 7, 2, -11, 11, 9, -11, 12],\n [3, 11, -3, 6, -9, 10, -2, 11],\n [10, 11, -8, 15, -13, 11, -12, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "638", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-12, 2, 15, 7, -4, 4, 4, -1],\n [15, -3, -4, -8, 6, 6, 11, -7],\n [4, -7, 1, 11, 9, 15, -15, 15],\n [7, -10, -9, -7, -6, -12, 0, -4],\n [-7, -13, 10, 11, 11, -7, 13, 1],\n [-2, -11, 15, 10, 5, -15, -15, -13],\n [-7, 7, -10, -7, -12, 4, 3, -11]]\nB =\n[[-11, 12, -2, -6, 7, 0, 7],\n [15, -10, 4, 7, -2, 2, 13],\n [12, -7, -9, 2, -6, -14, -3],\n [-10, 11, 7, -7, 15, 4, -8],\n [14, -6, 0, -1, -3, 2, -10],\n [4, 8, -7, 2, -9, 7, 8],\n [13, -11, -5, -3, -13, -15, -12],\n [3, 2, -10, 7, -6, -9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-409", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 4) of the product matrix AB given:\nA =\n[[-8, -3, 14, 2, -2, -5, 12, -6],\n [13, -10, -3, 6, -6, -4, -15, 2],\n [-3, 9, 8, 12, 13, -12, -10, 2],\n [12, -11, 2, 15, 13, -11, -9, 7],\n [-7, -13, -4, 4, 9, -2, -8, -4],\n [-9, 8, -7, -4, -12, -11, -7, -9],\n [-2, 4, 6, 11, 1, -15, 9, -1]]\nB =\n[[8, -1, 13, -15, 13, -1, 11, -14],\n [13, -12, 1, 0, 2, 5, 0, -8],\n [-10, 15, 6, 4, -14, 3, -3, 6],\n [6, 5, -10, 11, -10, -3, -15, 6],\n [5, 8, -7, 14, 6, 13, -4, -4],\n [10, -12, 3, 0, 10, -4, -15, 7],\n [5, -12, -7, -9, -6, -3, -8, 4],\n [-6, 12, -6, -8, 4, -1, -15, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "200", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 8, 1, -3, -4, -13, 7, 3],\n [13, 8, -11, -13, 5, -11, 8, 12],\n [-7, -10, 0, -6, 0, -13, 2, -5],\n [3, 9, 7, -1, -5, 11, 9, 13],\n [15, 6, 8, -6, 11, -7, -13, 7],\n [-7, 2, -4, 7, 5, 8, 0, -12],\n [-15, 11, -3, 15, 10, -8, 15, -10],\n [13, -8, 3, 8, 8, -4, -15, -12]]\nB =\n[[7, -3, 14, 11, 1, 3, 3],\n [6, -11, 12, -5, 15, -9, -13],\n [-5, 1, -5, -1, 3, -8, 0],\n [5, -1, -13, 14, 8, -10, 15],\n [-13, 14, -11, -15, 6, 15, -2],\n [-4, -3, -2, 9, -4, 7, 15],\n [11, -3, 8, -10, 11, 5, -1],\n [12, 6, 7, 0, -7, -8, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10718", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, -9, 8, 1, 0, 8, -5],\n [-9, -5, 12, 12, -14, -14, 12],\n [-10, -13, -15, 15, 8, 7, 4],\n [0, -2, 1, 2, 9, -12, -13],\n [-8, -12, 7, -1, -3, -2, 14],\n [-2, -11, -11, 11, 6, 12, -3],\n [-12, 2, -10, 13, -11, -13, 4],\n [-13, -13, 4, -14, 4, 10, 11]]\nB =\n[[2, 14, -6, 8, 10, 5, 13, -9],\n [11, 4, 10, 6, 13, 12, -2, -6],\n [4, 15, 0, -10, 1, -10, 6, 2],\n [12, -6, -6, -7, 15, 6, 12, -1],\n [-5, 13, -9, 2, -14, -14, 10, -3],\n [-5, 9, 3, 13, 4, -15, 1, 4],\n [14, 2, -8, -3, -12, 3, -13, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4800", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[12, 13, -10, 6, -10, 8, -8, 9],\n [1, -6, 8, -11, 3, -5, -6, -13],\n [6, 8, -6, -14, 12, -7, -11, 5],\n [1, -10, 13, -5, 11, -11, -9, -9],\n [-12, 5, -6, 14, 8, 2, -15, -2],\n [-10, -5, -2, 4, 13, 10, -13, 0],\n [0, -9, -8, 11, 12, -12, -4, -4]]\nB =\n[[15, -6, -4, -5, -5, -1, -10],\n [13, 11, -5, 15, -14, 8, 6],\n [11, -7, -5, 0, -3, -3, 6],\n [6, 12, 2, 5, 9, -15, 4],\n [-6, 10, 14, 3, 1, -15, 15],\n [-15, 1, -1, 13, -14, -5, 5],\n [-14, 4, -7, 3, -14, 0, 4],\n [-7, 4, 15, 12, 5, -12, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-228", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 14, -3, -1, 15, 4, -14],\n [12, 4, 2, 9, 11, 14, 8],\n [-7, 4, -15, -13, 7, 1, -5],\n [8, 9, -8, 5, -4, -5, 14],\n [12, -3, -1, 9, 4, 9, 1],\n [-4, 11, 3, 4, -5, -6, 1],\n [12, 6, -3, 0, 15, 4, 4]]\nB =\n[[1, -11, -7, 6, 15, 8, 11, -12],\n [-7, 0, -9, -2, -2, -9, 8, 0],\n [2, 12, -10, -9, 3, -8, -15, 1],\n [10, 3, 6, -9, 2, 14, -10, 12],\n [5, 15, -10, -15, 14, -6, 7, -8],\n [14, -9, -7, -15, 10, 9, -5, 11],\n [13, 15, -13, 2, -10, -5, -11, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10050", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, -12, -8, -6, 13, -13, -3, 1],\n [-11, -8, 3, 2, -15, 13, -12, 11],\n [2, -2, 8, -5, 13, 15, 10, 12],\n [-7, -3, 10, 1, -1, -14, -10, 13],\n [10, 12, -9, -14, 8, -3, -6, 0],\n [-7, -8, 9, -1, 6, 11, -9, 6],\n [7, 3, -12, -7, 3, -14, 12, 13]]\nB =\n[[11, -9, 6, 3, -10, -1, -9],\n [-10, -15, 12, -2, -15, 9, -10],\n [12, 2, 15, 11, 1, 11, 12],\n [-14, -8, 5, 7, 7, -14, 0],\n [-12, -14, 7, -11, 1, -14, 6],\n [-2, 4, -9, -1, 2, -3, -4],\n [-14, -4, -10, 8, 13, -15, 5],\n [-15, -1, 11, 0, 6, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, 13, 9, 3, 8, 3, 11],\n [15, 12, 13, 13, 7, 14, -3],\n [5, -4, 13, -15, 15, 11, -4],\n [-12, 14, 13, 11, -1, 9, 0],\n [-1, -8, 3, -1, 2, -5, -7],\n [-15, -7, 12, 7, -4, -14, -5],\n [5, -2, -14, -1, 5, 7, 5],\n [2, 11, -2, 5, 12, -4, -6]]\nB =\n[[-2, 6, -1, -11, -14, 6, -10],\n [-4, -14, 13, 13, -12, -9, 0],\n [-15, -15, -2, -5, -4, -5, -10],\n [7, -4, 5, 15, -4, -6, -8],\n [11, 4, 3, -9, -2, -12, -15],\n [11, -8, -11, 13, -8, -8, 12],\n [5, 8, -9, 13, 3, 15, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10341", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, 12, 13, 7, 4, -10, -4],\n [2, -4, 2, -13, -6, -9, -13],\n [12, 3, -3, 14, -12, 15, -6],\n [-10, -15, -10, -8, 12, -1, 15],\n [-8, 6, -10, 13, 3, -2, -14],\n [-9, -8, -6, -3, 14, 6, 5],\n [4, -15, -7, 11, -6, 4, -14],\n [4, 13, -5, -11, 2, -9, -13]]\nB =\n[[14, 0, -1, -8, 4, 12, 11],\n [-11, -13, 13, 11, -11, -7, 11],\n [0, 13, -2, 2, -9, 15, -1],\n [10, -8, -13, -5, 4, 13, 11],\n [10, 2, -1, -6, 13, 9, -13],\n [-1, 9, 13, 7, -10, -5, 12],\n [-5, 3, 11, 7, 15, 11, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2560", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[-13, -3, 11, 6, -8, 5, -5],\n [-5, -3, -13, -10, 15, 8, -6],\n [3, -4, 13, -2, -5, 11, 5],\n [9, 14, 14, 10, 15, 15, -6],\n [-13, -3, 12, 11, 2, 11, -3],\n [14, 8, -2, 14, -2, -9, -4],\n [9, 15, -12, 0, 3, -6, 0]]\nB =\n[[-11, 11, 0, -15, -11, -3, -3],\n [-13, 1, 3, -11, -11, -1, -6],\n [-4, 8, -5, -15, 7, 5, -13],\n [-12, 3, 8, 4, -13, 2, -13],\n [-9, 6, 10, 12, 13, 5, 8],\n [11, -15, 3, 2, -14, 12, 11],\n [-4, 1, 5, 5, -13, -4, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 7) of the product matrix AB given:\nA =\n[[9, -4, -10, 14, -6, 14, 6, 10],\n [-10, -2, -14, -5, -1, 10, 10, -8],\n [6, -3, 15, 14, 3, -6, -7, 2],\n [-9, -13, 15, -4, -1, 6, 5, -3],\n [-10, -8, -2, -13, 0, 2, 8, 1],\n [2, -6, 1, 0, 5, 8, -14, 4],\n [-12, -5, 11, -9, 1, 9, 3, -10]]\nB =\n[[-6, 14, 5, -12, 9, 11, 12, 14],\n [9, -15, -9, 10, 9, 5, 0, 1],\n [8, -11, 6, 7, -6, -9, -3, 14],\n [12, -9, -1, 1, 7, 11, -13, -11],\n [-6, -11, 8, -9, -9, 6, 7, -2],\n [7, -1, -11, -11, -12, 14, 4, 5],\n [10, -7, 14, 11, -4, 0, 6, -8],\n [-7, -4, 14, 4, 12, 13, -9, 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[[-12, 12, 7, -13, -15, -9, -7, -14],\n [-9, -6, -14, -3, 13, -13, -3, -6],\n [14, -4, 10, -13, 12, 13, 4, -10],\n [-13, 13, 9, -14, 7, 6, -2, -1],\n [2, 11, 3, 6, -6, 4, 1, 1],\n [3, 8, 11, -12, -5, 1, 8, -6],\n [6, 1, -4, -6, -6, -10, 1, 15]]\nB =\n[[10, 10, 3, -14, -12, 2, 11, 13],\n [5, -12, -10, -2, 15, -9, -4, -14],\n [2, 8, -3, -3, 9, -11, -9, 13],\n [-4, 9, -2, -15, 8, -6, 10, 9],\n [-7, -6, -9, 0, 12, 12, -4, -4],\n [10, 15, 3, 13, -3, 5, 13, 2],\n [11, 10, -13, 10, -9, -15, -13, 5],\n [11, -2, -12, 3, 6, 12, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10215", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, -5, 6, -1, -7, 13, -5],\n [10, -6, -14, 15, 6, -2, -12],\n [-14, -11, -2, -1, 3, -10, 11],\n [-1, -2, -8, 4, -4, -12, 5],\n [-10, -5, 7, 6, -9, 9, -12],\n [10, -1, -15, 15, -7, 7, 4],\n [10, -8, -4, -9, 12, 2, -15],\n [-7, -9, -2, 10, -15, -3, 4]]\nB =\n[[-1, -11, -11, -2, -2, -2, -11],\n [-5, 3, -11, -12, -1, 5, -9],\n [-11, 14, -1, 14, -2, 8, 8],\n [-13, -11, -4, 4, -2, 14, -11],\n [8, -12, 5, 0, -9, -13, 13],\n [6, 9, 11, -12, 4, 6, -10],\n [-13, 14, -15, -13, 8, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-747", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -9, 2, -7, -13, 2, 0],\n [5, -15, 5, 10, 4, 0, -4],\n [-10, 12, 5, -7, 5, -3, 8],\n [-4, -3, 2, 3, 3, 3, -10],\n [0, -9, -9, 12, 7, 12, 3],\n [0, 1, 6, 3, 0, 13, 0],\n [15, 3, -1, -13, -1, 9, 12]]\nB =\n[[0, 15, 4, -11, 3, -6, -3, -1],\n [-4, 1, -1, 12, -12, -1, 1, 11],\n [-5, 7, 7, -1, 4, 15, 5, 10],\n [-9, -3, 6, -3, 4, 4, -14, -6],\n [2, 12, 4, -11, 4, 14, 3, 11],\n [-14, -12, 14, 0, 11, 5, 0, 1],\n [-1, -3, -15, 6, -11, 11, 4, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "430", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, 14, 7, -1, -12, 3, 14],\n [0, 7, 2, 10, 1, -5, 4],\n [-3, 8, 13, 6, -7, 1, 1],\n [11, -11, 6, -8, -13, -10, -13],\n [-8, -4, 11, 11, -12, -14, 12],\n [9, 15, -6, -1, -3, 8, -1],\n [6, 3, 2, -3, 4, 4, -15],\n [15, 9, 0, 10, -8, 7, -10]]\nB =\n[[-13, 4, 0, -14, 7, -14, 14, -1],\n [-6, -15, 6, 4, -1, 8, -15, 9],\n [6, 0, 14, 2, 8, -11, 5, -11],\n [7, 7, -6, 11, 7, -4, -6, -14],\n [8, -15, 0, 13, 14, 2, 11, -9],\n [-12, 11, -6, -6, 9, -5, 9, 14],\n [-13, 13, -2, -3, 3, 9, 13, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8779", "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, 12, -8, 1, -10, -9, -2],\n [11, 14, -8, -4, 12, 2, -2],\n [-15, -12, 1, 2, 3, -12, 12],\n [12, -10, -8, 9, -1, 4, -15],\n [14, -11, 0, 5, 9, -10, 5],\n [-6, -6, -11, -8, 11, -15, -11],\n [-15, 15, -9, 14, -1, 7, 13],\n [10, 8, -2, 7, 11, -7, -8]]\nB =\n[[-8, -13, 15, 10, 15, 4, -12],\n [1, -10, -14, 15, -7, -2, -15],\n [1, -5, 13, 10, 11, -10, 13],\n [-15, 12, 15, 3, 0, 10, 2],\n [13, -5, -7, 5, -10, -14, -8],\n [6, 0, 11, 12, -8, -8, -2],\n [15, -15, -9, -14, -1, 11, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11597", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[12, 2, -12, 2, 13, 7, -11],\n [13, 11, 0, -3, 11, -7, -11],\n [11, -8, 2, -13, -10, -5, 7],\n [-2, 10, 8, 15, 3, -9, 8],\n [-6, -1, -10, 4, 13, -10, 0],\n [-7, 3, 15, 2, -11, 0, -9],\n [3, -11, 4, -5, 7, 2, 12]]\nB =\n[[11, 13, -9, 12, 2, -13, -11, 7],\n [-3, 0, 6, -4, -9, 11, 6, -3],\n [12, -15, -1, 5, -4, 1, 7, 4],\n [-11, 1, 8, -1, 4, 3, -15, -12],\n [-13, -8, -7, -4, -11, -7, -15, 7],\n [-5, 14, -9, 6, 4, 13, 11, 9],\n [-2, -13, 11, 15, -5, 1, 15, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10347", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[3, 2, -10, 13, -1, 14, -9],\n [-11, -11, -9, 6, -4, -8, 9],\n [2, 12, 2, 15, 1, 7, -5],\n [-1, 14, 4, 15, 9, -10, -4],\n [7, 13, -9, -8, -12, -13, -13],\n [-6, 8, 12, -1, -3, 15, 3],\n [-8, 2, 15, -11, 5, -9, -11],\n [9, 3, 9, 1, 3, -12, 6]]\nB =\n[[10, 8, -9, 8, 6, -10, -2, 6],\n [3, 14, 10, 15, 4, -5, 6, 13],\n [-9, -13, 4, 6, 1, -5, -1, -9],\n [13, -1, 11, 1, -5, 13, 12, 13],\n [-4, -3, 10, -5, 15, -5, 9, 10],\n [-7, -5, 9, -12, -14, 7, 13, -12],\n [-2, -11, 1, 11, -4, 10, 13, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "737", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -1, 7, 3, -6, -14, 13, -4],\n [-4, 10, -9, -15, 2, -13, 4, 15],\n [-11, 4, -1, -6, 3, -15, 15, -9],\n [12, 10, 6, 2, -14, 3, 8, 8],\n [-6, -1, -6, 10, 12, -6, 11, 14],\n [-4, -8, 7, -2, -14, 1, -10, 11],\n [-8, -15, -13, -1, 1, 10, 9, -9],\n [-2, 8, 9, -13, 10, 11, 2, 6]]\nB =\n[[-11, 4, 6, -1, -10, 12, -13, 14],\n [2, 9, 8, 14, 4, 6, -13, 11],\n [-8, 3, 2, -1, 7, -2, 0, -13],\n [13, 9, -1, 3, 15, -8, -14, 9],\n [1, -4, 3, -5, 14, 2, -3, -2],\n [13, -4, -1, 7, 5, 15, -8, -14],\n [-8, 7, 12, 11, -11, -14, -6, 11],\n [7, -6, -12, -12, -8, -10, 9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11561", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 2, 5, 6, -8, 4, 11, -9],\n [11, 7, 4, 1, 3, -14, 13, 13],\n [-4, 3, -11, 11, -4, 1, -11, -14],\n [14, -12, -10, -7, 10, 6, -6, 13],\n [-5, 12, -14, 8, 5, 9, 15, 10],\n [-7, 4, 13, 1, 11, 14, -7, 9],\n [-8, -11, -11, 10, -10, 0, -15, -7],\n [5, -9, -5, -1, 8, -11, 3, -10]]\nB =\n[[7, 13, -2, 4, 9, -2, -5],\n [-12, 11, -6, -14, 9, -12, 4],\n [-6, -15, -2, 2, -4, 3, 7],\n [-4, 9, 12, -11, -12, -3, 2],\n [14, 13, -4, 14, 0, 7, -10],\n [12, 12, -9, 8, -7, -6, -11],\n [11, 5, -12, -5, 3, 13, -9],\n [-3, -3, 5, 7, 15, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1111", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[9, 13, -7, -3, -3, -11, 14, 10],\n [-4, 9, -15, 2, 10, 5, 5, 6],\n [14, 8, 12, 1, -6, 12, -7, 4],\n [-8, 12, -1, -3, 12, 5, 1, 14],\n [-7, 8, 5, 14, 15, -5, 14, -12],\n [8, 9, -9, 4, 7, 6, 11, 12],\n [-13, -6, -13, -15, -2, -3, -11, -8]]\nB =\n[[-4, -10, 8, 7, -14, 8, -12],\n [11, -11, -5, -3, -8, 5, -11],\n [-10, 15, -1, 7, 9, 0, 14],\n [-5, -9, -10, 15, -4, 10, -12],\n [-2, -5, 10, -4, -14, -5, -3],\n [-5, 15, -7, 10, 11, 5, 0],\n [-11, 11, -4, -13, 13, 0, 3],\n [1, 12, -5, 5, 3, 15, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 11, -7, -3, 14, 10, -10, -13],\n [7, -4, -7, -7, -1, -15, 15, 2],\n [-1, -8, 15, -5, 1, 11, 12, 15],\n [11, -2, 3, 11, 7, 8, -11, 14],\n [-14, -1, 3, 9, 15, 0, -3, 11],\n [13, 10, -9, 13, 1, 3, 9, -9],\n [15, -4, -3, 13, -3, -2, -1, 15]]\nB =\n[[-14, -10, -7, -1, 4, 0, 10, -14],\n [-13, 7, 4, 7, 5, 14, -8, -8],\n [5, -9, -5, 6, -3, -8, -7, 0],\n [-11, 7, -2, -15, 11, 8, 3, 1],\n [6, -2, -3, -8, 11, -13, -15, 3],\n [-1, 5, 11, -8, -7, -3, -4, -7],\n [4, 8, -5, -11, 3, 5, 2, -5],\n [11, -5, -10, -15, 6, 13, 5, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 13, 14, -9, -10, 15, 11, 12],\n [7, -6, -11, -15, -1, 9, -11, 4],\n [-10, -11, 1, 2, -12, 8, 5, 7],\n [-14, -8, -11, -12, 9, 6, 15, -2],\n [-12, -8, -13, -2, 13, 10, 2, 7],\n [14, -4, -1, 4, 4, 10, -7, -14],\n [-15, -1, 7, -1, 12, -8, -13, -14],\n [-12, 2, -4, 2, 5, -6, 5, -8]]\nB =\n[[9, 2, 1, 3, -10, -2, -11],\n [-8, -8, 2, 14, -7, -2, -2],\n [4, -2, 1, 14, -14, -2, 11],\n [6, 5, -4, 7, 9, 0, 6],\n [-10, 2, -9, -14, -3, 7, -8],\n [-4, -15, -7, -8, -7, -11, -3],\n [-2, -12, 1, -7, 14, 4, -1],\n [4, -12, -14, 12, 11, -3, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11443", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 4) when matrix A is multiplied by matrix B?\nA =\n[[2, 8, 0, 7, 11, -6, -14],\n [-2, -14, 2, -15, -3, -10, 6],\n [1, 11, 1, 6, -5, -10, 4],\n [-13, -2, 9, -10, 1, -13, 1],\n [3, 2, -11, -1, -13, 7, -8],\n [-9, 2, -6, 10, 7, -6, 3],\n [7, 15, -15, -14, 12, 10, -15],\n [-7, 13, 13, -1, 2, 2, 6]]\nB =\n[[-9, -2, 13, 2, 14, 4, 3],\n [13, -11, -7, 2, -3, -11, 8],\n [6, 4, -1, 10, 8, 3, 4],\n [-5, -7, 5, 6, 12, 0, -5],\n [-14, 9, -8, 7, 9, 5, -11],\n [-5, -5, -7, -5, -11, -7, -15],\n [15, 10, -6, 11, -8, 3, 0]]\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[[-3, 8, -11, 2, -7, -12, -2],\n [14, -9, -4, 8, -9, -5, 6],\n [-1, 14, 12, -9, 4, 10, 1],\n [-11, -8, -6, -10, 5, -14, 10],\n [12, -11, -6, 12, -13, -3, 0],\n [-1, -14, 14, -13, 4, 2, 14],\n [4, 4, -1, 6, 12, -11, 7],\n [-5, 7, -13, -7, -9, 7, -14]]\nB =\n[[-1, -4, 0, 10, 0, 0, 3, -13],\n [12, 13, 6, 4, -12, -15, 6, -8],\n [8, -1, 8, 5, 10, 6, -11, 4],\n [-4, 4, 4, -12, 14, 15, 6, -1],\n [-10, -11, 12, -5, -2, -5, -7, 8],\n [-6, -10, -5, -7, -11, -6, 15, 4],\n [-2, -10, -12, 8, 7, 5, -6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 0, -9, 2, 9, -9, 8, 14],\n [5, -1, 3, 2, -1, 2, -13, -15],\n [-15, -9, -6, -4, 11, -8, 6, 7],\n [1, -2, 1, 9, 5, 7, -10, 4],\n [1, 4, 10, 10, -8, -3, 0, -4],\n [11, 13, 1, 2, -8, 15, 2, -5],\n [-3, -4, -1, 10, 9, -13, -13, -10]]\nB =\n[[-13, -7, -5, -8, -12, 6, 8, 4],\n [-1, 13, -11, -9, -8, -9, -8, -12],\n [-15, 6, -11, -5, 15, -12, -14, 1],\n [9, -4, -14, -7, -10, 13, -10, 2],\n [6, -13, -1, -9, -3, -6, -12, 0],\n [-7, 5, 12, -6, 3, 1, -15, -3],\n [-12, -1, 10, -6, 4, -7, -8, 4],\n [-10, 7, -6, 8, 4, 1, -11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-681", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 3) of the product of the following matrices:\nA =\n[[1, -5, 11, -12, 7, 7, 1],\n [9, -14, 5, 6, -15, 14, 12],\n [2, -9, 6, -10, -10, -2, 14],\n [7, 10, -4, -2, -2, -4, -7],\n [-7, 15, -14, 2, -11, 10, 7],\n [-4, -2, 12, 15, -3, -13, -1],\n [-1, -13, 4, 3, -1, 15, 3]]\nB =\n[[-8, 7, -3, 7, 15, 14, -6],\n [-14, -5, 9, 13, 6, 14, 3],\n [-7, -7, -10, 13, -6, 6, 8],\n [-8, -1, -10, -9, 4, 1, -12],\n [-8, 12, -3, 8, -2, 2, 15],\n [7, 13, 1, 2, -2, 8, -5],\n [-6, 15, -3, 13, 4, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "298", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-13, 14, 2, 11, -10, 4, -13, 3],\n [10, -13, -4, -8, 9, 9, -11, 1],\n [-6, 5, 1, -7, -3, -6, 13, 15],\n [-8, -9, -14, -14, 14, -12, -7, 14],\n [9, -2, 8, -5, 15, 5, 14, -9],\n [12, 9, 3, -12, -14, 9, 7, 6],\n [5, 12, 7, 3, 5, 2, 5, -9],\n [15, -5, -6, -5, 7, -7, -13, 8]]\nB =\n[[-11, 7, -15, -15, 4, -11, 13, 10],\n [3, -10, -13, 5, 11, -3, 15, 1],\n [-13, 7, -13, 5, 7, -3, -14, -13],\n [4, 0, 5, -4, 9, -7, 0, -12],\n [14, 9, 4, 2, 10, -15, -9, 4],\n [-4, -8, -8, 12, 8, 6, -7, -2],\n [4, -11, 4, 5, -14, 5, -6, 8],\n [-7, -9, 7, 14, 6, 2, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -6, -3, -7, 0, 14, 5, 6],\n [1, -11, -10, -6, -5, -14, -9, -2],\n [-12, -11, 3, 5, 12, 4, 12, 14],\n [-6, -10, -14, -13, 12, -1, -6, 1],\n [-9, 9, -14, -9, -1, -13, -11, 6],\n [-8, -12, 2, 3, -8, 7, -10, -11],\n [11, -11, 1, 14, -10, -3, -7, 8]]\nB =\n[[-4, -6, 15, -15, -5, 13, -10],\n [-13, -10, -7, 6, 15, -8, 14],\n [-1, 6, -10, 15, 7, -5, 13],\n [-6, -5, -12, 13, -3, -8, 15],\n [4, -1, -9, -15, 12, 9, 10],\n [-7, 7, -8, -14, 10, -2, 14],\n [-4, 15, 10, 7, 1, 3, -10],\n [5, -11, 9, -10, -13, 0, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1004", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, -2, 9, -1, 10, 14, -12, -5],\n [-11, -7, -11, -9, 2, 2, 4, 8],\n [-14, 10, 7, -3, -3, 1, 9, 10],\n [6, 11, 1, 10, -10, -2, 5, -2],\n [-4, -11, -11, -12, 7, 15, 13, 9],\n [-3, -12, 2, 0, 2, -14, 7, -12],\n [4, 1, 4, -10, 2, 4, 11, -9]]\nB =\n[[-3, -7, -14, -8, -2, 6, 8],\n [2, 14, 11, -15, 7, 13, -7],\n [-7, 15, -14, 0, -12, -3, 1],\n [-5, 7, -14, -12, -4, -14, -15],\n [7, -10, 0, -14, -2, 4, -4],\n [11, 3, 12, -13, 3, -5, -12],\n [1, 1, -9, -11, 3, 9, 5],\n [10, 3, -7, 1, 14, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8408", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, 6, -14, 8, -1, 0, 3, -15],\n [7, -4, 3, 4, -1, -11, -15, -5],\n [11, -7, -9, -14, 13, 1, 0, 0],\n [-2, 11, -14, 3, 12, -13, -8, 5],\n [9, 3, 0, 6, -12, -8, 12, -15],\n [-12, -9, 9, 13, -15, 8, 2, -12],\n [4, -2, -8, 11, 2, -9, -13, 9]]\nB =\n[[5, -2, -4, -1, -8, 15, -11, 1],\n [9, -6, -5, 12, 7, 0, 0, -12],\n [7, -11, -6, -2, -7, 2, 4, -10],\n [-5, 5, 1, -7, 9, -13, 0, 4],\n [-12, 10, 8, 6, -1, -14, 4, 1],\n [3, 4, 0, 8, 3, 5, 1, 13],\n [-12, 2, -12, 5, -13, 14, 6, 12],\n [15, 2, 5, 4, -11, 13, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9610", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 6) of the product matrix AB given:\nA =\n[[7, 14, 11, 8, -1, -7, -2],\n [5, 8, -14, 10, 9, 2, -3],\n [15, 12, 5, 0, -10, 0, -12],\n [8, -6, 15, 3, -5, 13, -11],\n [2, -13, -8, -5, 5, 14, 3],\n [5, 9, -13, -4, -1, 10, 7],\n [8, 0, -11, 3, 11, -10, 13]]\nB =\n[[-4, 3, -7, 2, 13, -13, 7, 14],\n [-2, 10, 8, 5, -11, -11, -12, 9],\n [6, 13, 12, 0, -3, -8, 8, 5],\n [0, 12, 9, -14, 14, -8, -13, 7],\n [13, -7, 14, -5, 5, 15, 11, 8],\n [4, 15, 14, -15, -15, 6, -8, 0],\n [-6, -14, 0, 11, -12, 3, 13, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "38", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-13, -5, -8, 14, -9, -15, -8, 9],\n [8, 10, 10, 1, 15, 11, 13, -5],\n [-9, 13, -7, -2, -11, 2, 14, 8],\n [15, 9, 7, 12, -3, -11, -8, -1],\n [6, 12, -12, -15, -10, 8, 3, -4],\n [-9, -3, 12, -9, -7, -15, 5, 8],\n [-3, 13, 3, 5, 14, -15, 9, 4],\n [5, 3, 14, 2, 12, 14, 7, 11]]\nB =\n[[-11, 11, 10, 14, -13, 15, -14],\n [10, 6, -6, -10, 3, 15, 13],\n [9, 1, 3, -3, 1, 7, 2],\n [-5, 11, 12, 4, 4, 14, -3],\n [8, -5, 4, 3, -6, 12, -13],\n [5, -10, -9, 13, 5, 7, 4],\n [-11, 6, -7, 6, -6, -2, -5],\n [1, 12, -5, -9, 14, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1461", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[11, 3, -10, -14, 15, -2, 12],\n [0, -9, -15, 13, -14, -7, 9],\n [7, 2, 5, 4, 2, 2, -6],\n [-8, 5, -8, -14, 2, -5, -5],\n [3, -5, -6, -8, -1, -8, 3],\n [-15, 7, 4, -13, 5, -4, 0],\n [6, 0, 14, 1, 12, 12, 0],\n [-7, 6, 3, -15, 13, 9, 2]]\nB =\n[[14, 10, -10, -10, -4, -13, -5, -10],\n [-2, 2, 0, 8, -3, -15, -10, -2],\n [1, 9, -3, -3, -7, -10, -10, 9],\n [14, -11, 9, 5, -2, -2, -12, -14],\n [-14, 15, 13, 1, -6, -2, 3, 1],\n [13, 6, 14, -5, 13, -9, -7, -2],\n [7, -12, -2, 4, 8, 4, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-601", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 5) when matrix A is multiplied by matrix B?\nA =\n[[3, 14, 1, 9, 11, 11, -2, 15],\n [-3, 10, -2, 10, 0, 5, 12, -1],\n [14, 9, 3, 6, -5, -4, -5, 12],\n [7, -11, 12, -8, 10, -10, 0, -4],\n [-10, -3, -9, -8, -4, 13, -14, 7],\n [-7, -3, 1, -3, 0, 15, 12, -15],\n [-9, -3, -2, 5, 1, 14, 0, -1]]\nB =\n[[13, 1, -14, 11, 10, 9, 12, -4],\n [-13, -7, -10, 13, 10, -10, -9, 10],\n [11, -8, 11, 15, -13, 8, -1, 6],\n [-10, -5, 14, -13, 0, -10, -5, 13],\n [-8, 13, 7, -6, 15, -6, 7, -13],\n [10, -2, 3, 5, 12, 5, -7, -3],\n [-7, 10, 5, -4, -2, -11, -10, -3],\n [-3, 8, -10, -2, -5, 13, -3, -4]]\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 sum of all entries of the result:\nA =\n[[14, 0, -10, -7, 1, 14, 4, 0],\n [10, 13, 10, -4, 2, -7, -13, -6],\n [-5, -14, -8, 4, -5, 2, 4, -9],\n [15, -2, -9, -15, 13, -4, 12, -15],\n [-13, -14, -13, -12, -2, 7, 2, 7],\n [15, -11, -1, 0, -8, 8, 5, 10],\n [-8, 12, 14, 9, -9, -10, -9, 7]]\nB =\n[[3, 6, 6, 11, 9, -15, -3, -9],\n [-15, -6, -3, -12, 13, -9, -10, -10],\n [5, -5, 7, -7, 14, 6, 10, -9],\n [-7, 7, -10, 3, -2, -15, 10, 0],\n [-7, 7, -1, 3, -6, 0, 9, -13],\n [3, -3, -2, -9, -14, 10, -2, 7],\n [7, 1, -3, 10, 11, -14, -11, 14],\n [-12, 14, -13, 10, -2, -5, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1142", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 0, -13, -6, -15, -7, 0, -7],\n [12, -4, -15, 0, 14, -8, -2, -2],\n [-6, -15, -10, -7, 3, 6, 0, 3],\n [-5, 14, 5, -5, -2, -9, 11, 10],\n [-4, 4, 4, 7, -11, -15, -5, -1],\n [-6, 13, -1, 12, -3, -1, -14, 6],\n [-3, -4, 9, 7, -12, 15, 12, -4]]\nB =\n[[-1, -3, -14, 4, 0, -2, 5],\n [-14, 1, 0, -12, -5, -3, -10],\n [1, -15, -7, 5, 2, -5, -2],\n [-14, 4, -5, -14, -12, 15, 11],\n [-3, -10, -9, 6, 4, 10, -13],\n [-12, 12, 5, 4, -13, -15, 3],\n [11, 5, -3, -2, 15, 6, 12],\n [0, 14, 13, -12, 1, -6, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1083", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -3, 9, 15, -3, 6, -2, -10],\n [0, -7, 4, 0, 5, 5, 14, -4],\n [0, -11, 8, -5, -15, -6, -5, -1],\n [10, 11, -13, 15, 8, -1, -5, -7],\n [-14, -4, 4, 14, 0, 8, 0, 5],\n [-15, 0, -10, -2, 9, 9, -5, -15],\n [4, 1, 7, 3, -14, -2, -8, 9],\n [15, 7, 6, 10, 13, 11, -10, -7]]\nB =\n[[-11, -11, 2, 6, -2, -4, 12],\n [-4, 6, -10, -12, 11, -1, 7],\n [-1, 9, 1, -13, -6, 15, 15],\n [9, 14, 5, 6, -8, -7, 8],\n [-13, 10, -15, -5, -3, -4, 13],\n [5, -9, -14, -15, 4, -13, -12],\n [1, 2, 1, 3, -12, 13, 1],\n [6, -14, -6, -4, -3, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9364", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 6) when matrix A is multiplied by matrix B?\nA =\n[[-8, 12, 13, 4, -11, 9, -14, -4],\n [12, -14, -10, 6, 3, -4, 9, -3],\n [1, -4, -13, 8, -8, 0, -12, 8],\n [11, 10, -3, -8, -15, -13, -15, -1],\n [2, 4, -13, 13, -1, 11, 6, 12],\n [12, -11, 5, -6, -9, 7, 9, -8],\n [-13, 2, 1, 15, 0, 10, 6, 13]]\nB =\n[[-3, -12, -13, -5, 11, -14, 2],\n [11, -12, 1, -10, -6, -5, -11],\n [10, 9, 2, 9, 9, -6, -7],\n [0, -6, -6, -12, 5, 8, -2],\n [-8, -15, 0, 10, 1, -6, -10],\n [-9, 2, -14, 5, -7, -11, -8],\n [8, -11, 8, -1, -8, 15, -11],\n [-11, 4, 1, -7, -14, -15, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-177", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -5, -1, -15, -9, 7, 3],\n [8, -1, -10, 4, 10, 10, -6],\n [-4, -3, -1, 3, 1, -3, -14],\n [2, 15, 13, -5, -11, -12, -14],\n [11, 0, 15, 9, -9, -8, -8],\n [-14, -1, -11, 3, -6, -7, 9],\n [6, 13, 4, -8, -11, 3, -3],\n [11, -2, -8, 0, 14, 14, 12]]\nB =\n[[6, -11, -15, 3, 7, 3, 1, 8],\n [7, 5, 12, -6, -11, 6, -9, 0],\n [13, -13, 11, -4, -2, 15, 12, 4],\n [-15, -9, 10, 2, 7, 6, -12, 0],\n [-5, 2, 7, 0, -9, 5, 9, -13],\n [9, -11, 2, 9, 14, 1, -15, 0],\n [-1, -3, -9, -13, 8, 7, 11, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "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, 7, -15, -15, 12, 0, 14, -14],\n [2, 11, 5, 9, 7, 14, 2, -11],\n [-11, -8, -7, 8, -2, -3, 2, -12],\n [2, 6, 4, -1, -9, -3, -14, -7],\n [14, -11, -15, 12, 15, 11, 3, 4],\n [3, 6, 13, -3, -10, -6, 13, 15],\n [-5, 7, 14, 9, 0, 10, 9, 7],\n [11, 15, -15, 3, -11, 10, 12, 11]]\nB =\n[[-10, -10, -11, -10, 9, -3, 14],\n [-15, -15, 9, -2, -8, -7, 7],\n [-6, -10, -7, 2, -1, -12, -14],\n [14, -10, 1, -9, 7, 7, 14],\n [4, -1, 8, 5, -14, 5, -4],\n [-6, 9, 10, 1, 11, 2, 0],\n [-6, -8, 13, 5, 12, 9, 6],\n [-3, 0, -8, 15, -4, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10730", "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, 3, 1, 8, -8, -4],\n [-7, 14, -10, 9, 12, -6, -7],\n [12, 13, -12, -5, 5, 6, -10],\n [10, 2, -12, -4, -7, -1, 7],\n [-7, -10, -5, -9, 9, -2, 12],\n [0, -1, 4, -7, 15, 3, 14],\n [-4, 14, -5, 12, 14, -8, -13]]\nB =\n[[3, -13, 9, 10, 14, -13, -10],\n [-5, 14, 4, -2, 15, -14, -4],\n [0, 12, -13, 5, 15, 0, -6],\n [4, -11, -3, -4, 11, -15, 4],\n [-5, 10, 3, 13, 15, -1, 2],\n [0, -9, -6, 9, 0, 1, 12],\n [-9, -5, 12, 1, -11, -15, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7693", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 8, 13, -1, -12, -4, -15],\n [1, 8, -1, 14, 8, 4, 15],\n [4, -6, -5, 2, -14, 12, -10],\n [0, 8, -9, 7, 3, -4, 2],\n [-6, -9, 15, -12, 1, 1, -12],\n [5, -11, -15, 3, 6, 10, 7],\n [-5, 15, -15, -8, -12, 13, 9]]\nB =\n[[11, 11, 6, -1, 1, 2, -13, 2],\n [10, -9, 12, 1, 9, 2, 4, -8],\n [-5, -13, 9, -9, -1, -6, -4, -4],\n [3, 3, -1, 5, 5, 10, -11, 12],\n [-3, 9, -7, 6, 11, 11, 7, -6],\n [-8, -7, -10, 8, 2, -6, 8, -1],\n [-3, -5, -14, -8, 2, -13, 7, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[9, -13, 5, 9, -9, 14, 2],\n [5, 5, -7, 2, -15, -12, -12],\n [1, 10, 7, -14, 11, -1, -3],\n [-7, -9, 13, 15, 13, -4, -4],\n [-2, 7, -1, -15, 14, -7, 10],\n [0, -7, 0, 15, -14, -6, 9],\n [2, -3, -14, 13, 13, -3, 8],\n [-13, 14, -1, -13, 7, 15, -6]]\nB =\n[[-10, 7, 6, -2, -7, 2, -8, 11],\n [-10, -1, -2, -1, 4, -10, 6, -4],\n [-6, 3, -8, -11, 11, -6, -5, 4],\n [-2, -2, 13, -14, 14, 10, 1, -1],\n [13, 7, 10, 11, -13, -13, -13, 10],\n [12, 13, -13, 2, -10, -2, 10, -13],\n [-15, -6, -3, 13, -7, 6, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-908", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -14, -6, 9, 14, 15, -4],\n [3, -13, 3, -15, 10, -1, 7],\n [10, -3, -9, -14, 6, 4, -5],\n [7, 0, -2, 14, 7, -1, 4],\n [3, -9, -7, -12, -10, 7, -6],\n [-13, 5, 12, 14, -15, -10, -11],\n [7, -1, 9, -5, 4, 9, -3]]\nB =\n[[-10, -11, -14, 1, 8, -4, -4, 6],\n [-2, -9, 6, 10, 13, -2, -9, -7],\n [-2, 5, 1, 1, 9, 5, 14, -3],\n [13, 11, 15, 13, 2, 15, 3, 1],\n [-10, -4, -10, -13, -1, -13, 7, -1],\n [-15, 5, 13, -13, -11, 11, -2, -12],\n [6, 12, -7, 2, -6, -8, 14, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2837", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 7) of the product of the following matrices:\nA =\n[[-14, 4, 9, 4, -9, -5, -11, 13],\n [2, -8, 11, 10, 15, -6, -14, -13],\n [10, 7, -11, 0, -6, -5, 3, 0],\n [-4, -14, -5, 6, 10, -15, 8, -11],\n [5, -2, 2, -9, -11, -8, 5, -1],\n [9, -11, -3, 3, 13, -14, -11, 10],\n [13, 10, -11, -10, 0, -14, -11, -1]]\nB =\n[[-15, 3, -13, 3, -1, -13, -8, -1],\n [-15, -10, 6, 1, 0, -3, -15, -13],\n [15, 8, -10, 4, 5, 10, 14, -13],\n [-1, 14, -1, -5, 11, 6, -10, -10],\n [-7, -2, 15, 10, 13, -5, 8, -10],\n [2, 4, -1, 6, -7, -5, -14, 15],\n [-10, 10, 11, 10, 10, 7, -2, -2],\n [15, 8, -3, 9, -11, -7, 9, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "273", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[15, -5, -9, -14, 8, -4, -11],\n [13, 11, 8, -14, -2, -9, -11],\n [-12, -6, 13, 0, -10, 5, -10],\n [-7, -15, 13, 0, 11, 1, -3],\n [-10, -14, -8, 7, 6, -12, -7],\n [7, -9, 15, 5, -15, -2, 14],\n [-14, -8, -5, -11, 2, -4, 5]]\nB =\n[[8, 4, 3, -11, 13, -9, -14],\n [1, -3, -5, -11, -3, 13, 7],\n [-3, -8, -5, -8, -6, 9, 11],\n [-5, 12, -15, -9, 10, -8, -10],\n [10, -2, 12, 4, -9, -13, -14],\n [6, 2, 6, 10, -13, -2, 2],\n [-3, -8, -12, -1, -4, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "741", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 8, -4, 13, -7, -6, -8],\n [14, 4, -14, 10, 0, 5, 7],\n [2, 15, 4, 6, 8, -6, 13],\n [-10, -10, 6, 4, -3, 3, 1],\n [-14, 2, 10, -9, 11, -2, 6],\n [-1, -8, -7, 5, -5, -13, 4],\n [-2, 11, -8, -13, 2, 7, -2],\n [4, 13, -8, 1, -8, -11, -4]]\nB =\n[[-14, 1, -3, 6, -2, -7, -7],\n [-7, 11, 4, -10, 14, -4, -6],\n [6, -11, 2, -9, 15, -3, -15],\n [-10, 5, 5, -8, -7, -9, -6],\n [13, -8, 14, -14, 2, 12, -1],\n [8, -10, 8, -2, 9, 9, 11],\n [6, 8, 15, 2, 8, -13, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10068", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-15, 7, -15, -2, 11, -15, -15],\n [-12, 13, 14, -4, -1, 13, 14],\n [12, -12, 14, -6, -5, -10, 12],\n [-6, -4, -13, -1, 0, -6, 6],\n [13, 7, -5, 0, 1, -2, 0],\n [-2, -10, -6, 1, 7, 15, -6],\n [5, -6, -2, 4, 1, -7, -1]]\nB =\n[[-9, -14, -12, 4, 8, 2, -5],\n [-11, 10, -8, 6, 4, -11, -14],\n [-11, -13, -4, 3, -9, 3, -12],\n [7, -2, 3, 10, 10, 13, 2],\n [10, -9, -1, 5, -15, -4, 10],\n [13, 8, 3, 11, 7, -10, 10],\n [12, -3, 15, 14, -10, -3, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, 13, 0, -8, -3, -3, 12, 13],\n [15, 4, 4, -4, 3, 1, 14, 10],\n [-13, -1, 1, -10, 8, 3, 14, -4],\n [-12, 5, 7, -4, 11, 6, -14, -9],\n [0, 8, 14, -4, 0, -2, -15, 6],\n [11, -7, -9, -11, 13, 14, -6, 11],\n [-6, 9, 2, -9, 9, 15, 2, -3],\n [-5, -6, 6, 15, -7, -1, -2, -13]]\nB =\n[[8, -2, 5, 0, 7, 13, 12, -13],\n [-8, -14, 13, 8, -14, 7, 2, -9],\n [1, -10, -6, -9, -12, -5, 0, 11],\n [1, 12, -10, 4, 15, 3, 4, 6],\n [5, 2, -1, -14, 3, 11, -10, -4],\n [14, -15, 11, 7, 8, 7, -5, 3],\n [6, 15, 14, -12, 5, 3, 5, -10],\n [-8, 12, 6, -7, 15, -6, -6, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-288", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 10, -12, 2, -4, 9, -5],\n [0, 3, -5, 7, -12, -4, 12],\n [1, 8, -3, 12, -12, 11, -10],\n [-9, -8, 10, -14, -7, -6, 13],\n [3, -15, 0, 2, -8, -6, 6],\n [-5, 1, 11, 9, 15, -9, 10],\n [11, -13, 13, -9, -10, -13, -8]]\nB =\n[[-15, -11, 8, 3, 11, -3, 10, -5],\n [12, 6, 10, -5, -14, -7, -14, 5],\n [3, 10, -4, -7, -7, 7, -6, -11],\n [-7, 7, 2, -6, 1, 10, -6, -2],\n [-12, -6, 8, 6, 14, 2, -11, -7],\n [-10, 0, 6, 7, 0, 13, -5, 5],\n [-1, 3, -13, 0, 5, 4, -11, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-153", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[-7, -11, -12, -3, 4, 1, 10],\n [4, -4, 14, 4, 9, 11, 4],\n [-9, -15, 14, 0, -9, 14, -14],\n [-4, -5, -8, -15, 10, -13, -8],\n [10, -8, -5, 13, 5, -11, -8],\n [10, 5, -7, 1, -11, 3, 3],\n [-14, 3, 7, -1, -8, 15, 12]]\nB =\n[[8, 11, -8, -15, -2, -5, -9, 2],\n [11, -1, -6, -12, 5, 12, -15, -2],\n [4, 4, 9, -7, -3, 13, 11, 10],\n [1, 8, 4, -12, -11, 2, 15, 1],\n [5, -9, -6, -7, 12, 12, -3, 2],\n [-4, -8, 7, 2, -11, -9, -1, -13],\n [2, -10, 10, 13, -10, 11, 4, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 1, -5, 14, 11, 8, -14, 9],\n [-7, 3, -10, 9, -9, -12, -13, -14],\n [-6, -6, 1, 11, 0, 10, 11, -15],\n [-4, 4, 4, 9, -6, -15, 0, -5],\n [-12, -13, 9, -3, 5, -1, 9, -6],\n [-10, -5, 9, -15, 13, 4, -12, 14],\n [10, -6, 6, 10, -1, 15, 13, -15],\n [10, 5, -1, -13, -15, -10, 3, -12]]\nB =\n[[-4, 9, -14, 1, 10, -10, -4],\n [15, -1, 1, -15, -2, 7, -14],\n [-12, 4, -14, 6, 10, -2, 2],\n [12, -8, 4, -15, 0, -9, 15],\n [-10, 12, 14, 6, 11, 3, -6],\n [7, -10, 10, -6, 9, 3, -13],\n [4, -13, 4, -10, 1, 2, -6],\n [-10, 12, -3, -10, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "919", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 7) of the product matrix AB given:\nA =\n[[6, 14, 11, 12, 9, -8, 15],\n [10, -11, 13, -12, -10, -5, 14],\n [12, -11, 13, 6, -2, 14, -6],\n [-5, -13, 15, 7, -8, 5, -11],\n [12, 4, 15, 10, 5, 12, -6],\n [11, -8, 5, -7, 13, 12, 13],\n [-1, -15, 7, -11, -1, -12, 3]]\nB =\n[[12, -6, 7, 12, -14, -11, 2, 7],\n [-10, 13, -6, -1, 7, 12, -7, -3],\n [2, 9, -9, -14, 0, 10, -14, -12],\n [-14, 1, -10, -6, -2, 11, -1, 5],\n [-4, 3, -5, -15, 9, -8, 6, -10],\n [-4, 4, 0, 13, 2, -4, 4, 14],\n [-14, 13, -9, 15, -7, 13, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -8, -15, -11, 0, -2, 10],\n [-3, 13, -5, 4, 7, -3, 11],\n [-1, 14, 8, 14, 10, 11, 0],\n [-3, -8, 2, 3, 13, 10, -1],\n [-6, 7, -12, -10, -8, 8, -9],\n [13, -4, 2, 2, 3, -12, -15],\n [-11, 14, -9, 12, 10, -5, 5],\n [14, 7, 5, -5, -6, 8, -9]]\nB =\n[[0, 14, -15, 11, -15, -4, 0, -11],\n [-2, 2, -7, -14, -4, 9, -6, -14],\n [-1, -12, 3, 6, -12, 9, -7, -3],\n [-6, -2, 9, -13, -13, 4, 0, -7],\n [-2, 6, 0, -7, 8, 7, 13, -11],\n [-3, -1, 9, -12, 15, -2, 4, 8],\n [4, -9, -12, 11, 1, 10, -7, -12]]\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[[-13, 3, -7, -8, 10, -9, -9],\n [-12, 3, -4, 4, -10, -4, 13],\n [14, 4, -12, -14, -1, 14, 7],\n [-10, 2, 5, 6, -11, -12, -5],\n [-5, -7, -13, -5, -14, -7, 15],\n [8, 9, -6, -5, -13, 1, -5],\n [1, 3, -12, -14, 8, -2, 13]]\nB =\n[[-1, 12, -13, 13, 14, 4, 6, 10],\n [-3, 6, -3, 2, 6, 4, 5, 15],\n [-9, 7, 0, 0, 6, 10, 15, -10],\n [-10, -12, -13, -15, -13, 3, -7, -2],\n [3, 8, 8, 3, 10, 10, 12, -3],\n [6, 15, 0, 12, -8, 8, 10, 0],\n [10, -7, -7, 15, 8, 7, 10, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-399", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 4, 2, 14, 8, -14, -15, -4],\n [0, -4, 5, -6, 13, -7, 5, 11],\n [2, 10, -12, -8, 7, 5, -12, 14],\n [0, 5, 7, 5, -8, -9, 7, 9],\n [8, -3, 12, -8, 6, -9, 8, 13],\n [-11, 10, 2, 14, 7, 10, 3, -6],\n [-5, -8, -10, -5, 0, 14, -12, -14]]\nB =\n[[-3, -9, 1, 7, -3, -6, -3, -6],\n [-9, -6, 13, 0, -13, -12, 12, -12],\n [-12, 0, -7, -10, -6, 9, 12, -12],\n [7, 13, -4, -6, 15, -4, 12, 9],\n [10, 3, 13, 3, 6, 8, -15, -12],\n [-3, -8, 6, -2, 0, -14, -8, -3],\n [14, -15, -4, 1, -9, 0, -2, -6],\n [-13, 12, -4, -8, 0, 9, 8, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10425", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[1, -10, 12, -15, 8, -1, -3],\n [14, -10, 5, -3, 6, -12, -15],\n [7, -6, 9, -12, -3, -12, 0],\n [-7, 15, -12, 10, 4, -8, 11],\n [-12, -7, -5, 8, -11, -7, -8],\n [14, 10, -12, 4, -15, 4, 12],\n [-3, 8, 12, 12, -11, 6, 4],\n [14, 5, -6, 0, -8, -4, 9]]\nB =\n[[-13, 10, -12, 1, 11, 5, 4],\n [15, 6, 6, -3, 10, -10, -13],\n [-2, 15, -9, -13, -10, 13, -3],\n [-2, -1, 10, 0, -15, -1, 14],\n [15, 8, -9, 12, -7, -1, -2],\n [15, 3, 12, 8, 2, -7, -15],\n [-4, -6, -9, -2, 10, 14, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-366", "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, 6, -15, -3, 4, 7, -14],\n [-13, -12, 0, 6, 13, -4, 9],\n [-12, 15, 6, -4, -9, 4, 6],\n [-13, -11, -4, -4, 11, 10, 4],\n [7, 6, -9, 6, -4, -14, -2],\n [7, 0, 8, -9, -12, 4, 12],\n [-11, -2, -7, -11, -14, -11, 15]]\nB =\n[[13, -13, -6, -8, 10, -6, 13, -14],\n [-2, 11, -12, 5, -4, 4, 13, -2],\n [0, -11, 10, 0, 11, 13, -12, 13],\n [-13, -15, 14, -12, -7, -15, 0, 7],\n [-13, 8, -10, -3, 1, -1, 10, 5],\n [14, -4, 13, -8, 11, 15, 0, -13],\n [12, 12, -12, -9, -1, -5, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9556", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[15, -2, 7, -3, -7, 9, 2, -13],\n [4, 6, 15, -11, 6, 11, 8, -14],\n [6, 9, 5, 1, 0, 13, 8, 4],\n [8, -3, 15, 4, -5, -8, 9, 5],\n [-11, -14, 9, 11, -12, -13, -14, -13],\n [0, 4, -7, -10, 10, -1, -11, 13],\n [-7, 8, -10, -13, 7, 15, -3, 10],\n [6, 12, -1, -5, 14, 0, -1, 8]]\nB =\n[[12, -10, -2, -5, 10, 4, -6],\n [0, -4, -9, -9, 11, 8, 2],\n [-1, 11, -10, 14, 3, -8, 4],\n [-1, 14, -12, 2, -3, 6, 6],\n [-15, 12, -8, 3, 1, -6, -15],\n [-15, 5, -11, -15, 5, 7, 5],\n [9, 4, -3, -7, 0, 12, -8],\n [-2, 13, 1, 13, -12, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-712", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[12, 8, 0, -2, 0, 11, -14, 8],\n [-1, -5, -3, -12, 8, -15, -1, -4],\n [5, -7, -9, -13, 0, -12, 10, 7],\n [-2, 6, -3, 13, 4, 3, 11, -14],\n [-6, 12, 9, 3, -1, -9, -1, 1],\n [8, 0, 1, 12, 0, 2, 1, -12],\n [-14, 1, 1, 15, -14, 6, -14, 13]]\nB =\n[[-1, 13, 12, 12, 0, -5, 13],\n [-14, -8, 5, 14, 15, 8, -4],\n [-2, 12, -2, 8, -4, -14, -2],\n [7, 9, -4, 8, 13, -7, 13],\n [-8, 4, 0, -6, -9, -1, 9],\n [-7, -12, 15, 7, -10, 12, -4],\n [-1, 3, 10, 6, 8, -14, 15],\n [12, 3, 8, 15, 4, 4, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8325", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 11, 10, -4, 13, -15, 7],\n [-2, -12, 6, 8, -5, -9, -3],\n [-2, -9, 6, -5, 4, 4, 9],\n [-5, 5, -7, 15, 11, 12, 9],\n [-12, -14, -14, 9, -7, 3, -1],\n [5, 5, 2, 0, -14, 10, -4],\n [13, -15, -14, -2, 11, -9, 1],\n [-1, 1, -7, -3, -14, 11, -1]]\nB =\n[[4, -5, 3, -2, 11, -12, 11],\n [14, -5, 0, 7, 10, 14, -14],\n [-14, -7, 6, 11, 15, 15, 7],\n [5, 13, 5, 15, -12, -8, 7],\n [10, 2, -1, -14, 6, 12, -5],\n [1, -9, 15, -8, 14, -6, 8],\n [-13, -3, 7, 1, -3, 15, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-572", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[3, 13, 6, -7, 5, 13, 0],\n [14, -11, -7, 12, -7, -10, 5],\n [-6, 2, -5, 8, 12, 8, -1],\n [-9, -2, -8, 3, -1, 3, 2],\n [1, -13, -13, -9, 12, 15, -6],\n [9, 12, 1, -1, -8, 1, -13],\n [-12, 11, -8, -3, -15, 12, 2]]\nB =\n[[-5, 5, -10, 0, 5, 13, 3, 10],\n [7, 12, 1, 2, -5, -2, -4, 9],\n [14, 4, 8, 9, -9, 1, -11, 6],\n [-2, 11, 8, 10, 15, -3, 8, 13],\n [-4, -2, 9, -7, 15, -12, 6, 3],\n [-15, 13, -3, -10, -15, 9, 11, 6],\n [1, 11, 13, -13, 1, -14, 6, -9]]\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 sum of all entries of the result:\nA =\n[[-15, 10, 5, 6, -1, -12, -10],\n [5, -3, 13, 11, 7, -3, 4],\n [-15, -14, -10, 14, 13, 10, 13],\n [-5, 2, -3, 5, -4, 4, -9],\n [4, -9, 11, 8, -9, -14, -5],\n [-15, 5, 13, -3, -4, -3, -9],\n [-4, 1, 11, -8, -13, -9, 3],\n [4, -8, -2, -2, -14, -10, 0]]\nB =\n[[10, -7, 10, 9, 5, -1, 3, -1],\n [6, -4, -7, 0, -10, 4, 12, 11],\n [-1, -3, 5, 7, -6, -2, 13, -13],\n [14, -4, 9, -15, 8, 5, 0, -6],\n [-7, 2, -15, -6, -9, -6, -4, -5],\n [-7, 14, -11, 11, -12, 4, 12, -3],\n [-8, 0, -15, 1, -1, 8, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -10, -14, -11, 3, -9, -7, -14],\n [-9, 13, 13, 8, -2, 10, 15, 8],\n [7, 14, -1, -4, 4, -12, 10, -3],\n [13, -7, 15, -4, -6, -7, 5, 7],\n [-9, 9, -4, 0, -1, -9, -8, -9],\n [-5, -12, 12, 2, 3, -9, 14, 11],\n [11, -3, -7, 13, 14, 11, 2, 14],\n [-9, 4, 0, 7, 12, -11, -9, -10]]\nB =\n[[13, -14, 12, -9, 5, 15, -7, -3],\n [13, 11, 1, 1, -1, 2, 8, -1],\n [-5, 9, 11, 11, -4, 7, 1, -4],\n [-9, 13, 8, -9, 13, 12, 5, 12],\n [7, -6, 0, -5, 0, -14, 9, -14],\n [2, -11, -2, 15, -8, -10, 12, -7],\n [-10, 5, 1, -8, -13, -4, -3, 2],\n [7, -5, -14, -2, 15, -15, 11, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "330", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 8) of the product of the following matrices:\nA =\n[[-1, 13, 2, 6, 2, 1, -15, -2],\n [4, 8, 6, 0, -12, 6, -10, 9],\n [0, 4, -10, -1, 10, -15, -9, 7],\n [-5, -15, -8, -2, -11, -3, 15, -1],\n [-7, -8, 3, 1, 3, 14, 2, 2],\n [11, 15, -12, -14, 8, -11, 1, 6],\n [12, -9, 13, 0, -15, 13, -4, 3]]\nB =\n[[-7, 0, 13, 14, -9, 14, 13, -1],\n [-4, -12, 15, -10, -10, -1, 12, -13],\n [-14, -11, -8, 3, 5, 14, 0, 3],\n [14, 7, 15, 0, -10, 6, -15, 2],\n [6, -8, -11, -4, 2, -11, 9, 6],\n [13, -3, 5, 10, 6, 13, -4, 0],\n [-2, -5, 12, -7, 7, -6, 0, 3],\n [-6, 10, 5, -12, 11, 5, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[14, -10, -12, 5, 11, 7, 14],\n [8, -11, 2, 6, 9, -13, -9],\n [8, 6, -4, -13, 1, -13, -5],\n [-10, -5, -12, 1, 6, -15, -4],\n [8, -13, 0, -13, -2, 1, 3],\n [-9, 10, 8, -5, 0, 15, 8],\n [3, -11, -15, 9, 15, 8, -6],\n [2, -6, -15, 13, -3, -12, 9]]\nB =\n[[-4, 8, 0, 3, 10, -4, -10, 0],\n [-4, 9, 10, 8, -6, -11, 12, 13],\n [12, 9, 9, 3, -4, -8, -12, 10],\n [-9, 10, 8, 7, -11, -5, 1, 12],\n [8, 5, -13, -14, 3, 13, 9, -14],\n [-2, 10, -15, 0, -1, 2, 13, 15],\n [-14, 12, -5, 15, 5, 1, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2566", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[15, 10, 8, -14, 6, 5, 2],\n [-6, -4, 1, 6, -2, 6, 15],\n [3, -3, 8, 9, -13, 9, -8],\n [-11, 6, 12, 12, -4, -15, 5],\n [10, 0, 10, -4, 7, 1, 10],\n [-7, -3, 7, 15, -12, 11, -12],\n [11, -1, -6, 7, -10, -13, 14]]\nB =\n[[9, -1, -10, -5, -14, 10, 15],\n [12, -14, -15, -5, -11, 10, -10],\n [-13, 4, -11, 4, -7, 12, 3],\n [-11, 7, -4, -4, 0, -9, -2],\n [6, -7, -1, 7, -5, -12, -5],\n [10, -7, -10, 15, 1, -7, 11],\n [7, -10, -10, -12, 4, -5, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1624", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 8, 2, 0, 5, 0, 13, 9],\n [-4, -2, 15, -7, -9, -2, 4, 4],\n [-6, -5, -9, 3, 3, 5, -5, 13],\n [-10, -8, -15, 7, -8, -11, 12, -6],\n [15, -14, -12, 6, 15, 9, -14, -1],\n [4, -6, 5, 14, 8, 8, -14, -10],\n [6, 13, 15, -2, -11, 8, 10, -14]]\nB =\n[[-2, -3, -14, 14, 7, -7, -13, -1],\n [7, -13, -4, -10, 3, 1, -10, 11],\n [3, 1, 0, 5, -8, 8, 8, 3],\n [15, -8, 4, -1, -8, -13, 0, -13],\n [-15, -8, 8, -7, 6, -4, 2, 1],\n [-8, 10, 4, -5, 14, 11, -9, -2],\n [-6, -1, -4, 4, 1, -8, 10, -2],\n [9, 10, -1, 9, 9, 12, 12, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8238", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -4, 4, 15, 0, 9, 11],\n [4, 2, -6, 3, 2, 14, -15],\n [11, 6, -12, 7, -9, 14, 10],\n [-15, 12, 13, 9, -8, 10, 1],\n [15, 13, -8, -11, -15, -1, -12],\n [-9, -2, -4, 5, 11, -13, 12],\n [11, 4, 2, -8, 12, -14, 14]]\nB =\n[[13, 11, -10, 14, -9, -9, -3, -15],\n [-8, 9, 14, 14, 7, -3, 8, 4],\n [12, 8, 3, 13, 1, -3, 13, 0],\n [8, -1, -5, -4, 6, 9, -13, 8],\n [9, -7, 12, -2, 14, -9, 12, -5],\n [-6, -13, 3, -14, 1, 13, -14, 5],\n [0, 1, -6, -12, -5, 10, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 2) when matrix A is multiplied by matrix B?\nA =\n[[12, 10, 8, -4, 5, -6, 0, -12],\n [-13, -7, -10, -4, -15, -2, 8, -6],\n [2, -3, -7, 11, 7, 3, -12, -13],\n [-10, -7, -6, -7, 1, -6, -10, 0],\n [1, -5, 4, -9, -12, 9, 14, -6],\n [5, -2, 9, 1, 13, 12, -2, 4],\n [7, -3, -14, 15, -7, -13, -12, -4]]\nB =\n[[14, 15, -1, 4, -8, 2, -11, -14],\n [12, 6, -7, 12, 9, -2, -15, 4],\n [-12, 1, -6, -14, -10, 10, 15, 3],\n [-7, 3, 3, 15, -7, -13, -10, -10],\n [1, -3, -3, -9, -7, 9, 9, 2],\n [-15, 6, 6, 4, -3, -8, 5, 7],\n [-7, 13, -15, -7, 13, 13, 4, 7],\n [-5, 4, -12, 13, 0, 15, -2, 15]]\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 trace (sum of diagonal elements) of the result:\nA =\n[[4, 6, 5, 2, 9, 11, 6],\n [10, 6, -7, -15, 7, -13, 4],\n [-15, -13, -2, 14, -2, 7, 14],\n [6, -3, -15, -1, 9, 4, -9],\n [0, 4, 7, 5, -15, -1, 4],\n [-1, 3, -10, -10, -15, 14, 14],\n [0, 11, 2, -3, -4, 2, 12]]\nB =\n[[-6, -2, 4, 13, 9, -5, 2],\n [11, 8, 11, -4, 1, 12, 8],\n [-13, 14, 15, 5, -15, -15, -10],\n [3, 8, -12, 6, -3, 10, -4],\n [9, 14, -8, 4, 10, 8, 15],\n [-9, 5, -9, -9, -2, 13, 10],\n [2, 7, 3, 8, 8, 9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-402", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 6) of the result:\nA =\n[[4, 10, 3, 9, 9, 2, -10],\n [0, -13, 5, -14, -1, 4, -5],\n [3, 2, 6, -5, -13, -12, -10],\n [-4, 13, 12, 15, 5, -12, 13],\n [14, -4, -12, -14, -4, -3, 10],\n [13, 0, -12, 12, -8, -11, 14],\n [-2, -1, 14, -5, -6, -6, 8],\n [-10, 0, 12, 10, 5, -12, 10]]\nB =\n[[-7, -6, 14, -11, -6, 0, 15, -5],\n [-10, 15, -9, 11, -4, 11, -3, 1],\n [-7, 12, -8, 12, 11, 0, 15, 5],\n [-13, -11, 5, 9, 7, -3, 2, 5],\n [0, 9, -2, -5, 13, 2, -8, -4],\n [3, 4, -14, -7, 6, 15, -7, -2],\n [-1, -5, 13, -3, 8, 12, 9, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "65", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 7, -11, -15, 9, 2, 7],\n [12, 8, 15, -8, 1, 15, 10],\n [7, 9, -5, 14, 14, -5, -13],\n [-8, -8, 9, 8, 5, 5, -13],\n [12, 6, -6, 3, -2, 2, 7],\n [10, -13, 13, 4, -2, -5, -6],\n [8, -2, -15, 15, 0, 9, 14],\n [-10, 2, 0, 3, 0, -11, 11]]\nB =\n[[-4, -10, 9, -14, 0, 5, 7, -5],\n [-4, -5, 7, 4, 3, 13, -8, 13],\n [2, -11, -4, -6, -1, -11, 1, 7],\n [-12, 15, 15, 10, -4, 2, -8, 4],\n [1, -8, 15, -3, 11, 7, -13, -13],\n [-9, 2, 5, -9, 6, 10, 7, 15],\n [-14, -9, -14, -9, -2, -1, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 4) of the product of the following matrices:\nA =\n[[10, -8, 0, 5, -9, -5, 8],\n [-12, 2, 7, -3, 1, -4, 2],\n [-6, -9, -4, -4, 10, -3, -15],\n [-9, 0, 0, 5, 0, 0, -2],\n [-5, 3, -5, -14, 15, -9, -7],\n [-7, 15, -2, 10, -6, 0, 8],\n [2, -15, 8, -14, 4, 12, -12],\n [-14, -12, 7, -10, 10, 6, -12]]\nB =\n[[2, -11, -5, -3, -13, 3, 4, -5],\n [-5, 5, 11, -14, 6, -1, 6, -8],\n [-14, -8, 15, 8, 4, 7, -1, 0],\n [-3, 7, 15, 1, -2, 13, -2, -15],\n [8, 11, -15, -13, 6, 8, -1, -11],\n [-11, -12, -2, 4, -9, 6, 8, -1],\n [-5, -2, -10, 11, -6, -9, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, -11, 6, -15, 3, 12, -8],\n [3, 14, 1, 3, 12, 0, -12],\n [-8, 9, -12, -3, 12, -9, -15],\n [-7, 11, 12, -12, -2, 14, -7],\n [14, -13, -1, 11, 13, 15, -11],\n [-15, -5, 3, -11, 15, 6, 13],\n [8, 1, 15, 3, 1, -11, 8]]\nB =\n[[4, 13, 11, -7, 6, -10, 11, 5],\n [-3, 10, 5, -5, 7, 8, 7, -15],\n [1, 10, -10, -13, 0, -3, -4, 9],\n [-5, 7, -14, 12, 14, 3, -8, -3],\n [-2, -1, 1, -1, 5, -6, -15, -4],\n [-7, 7, -11, 6, 11, -1, -13, 3],\n [-9, -9, -9, -14, -14, 11, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "376", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-12, 15, -9, 0, -13, 5, -14],\n [1, -7, 13, 4, -8, 13, -4],\n [-9, -2, 12, 0, -15, -6, -5],\n [-9, 2, 3, -2, 1, 7, 3],\n [6, 15, 12, -3, 7, 15, -13],\n [-14, 9, -7, 15, -9, -2, -11],\n [4, -1, 4, -15, 4, 15, -9],\n [14, -11, 9, -12, -5, 3, -10]]\nB =\n[[4, 11, 13, 2, -11, 14, 13, 4],\n [-1, 5, 12, 9, 4, -10, -12, 1],\n [-1, 2, -10, 8, 9, 4, 6, 3],\n [-4, -7, -8, 12, -1, -15, 13, -14],\n [10, 14, 9, 10, -13, 14, 3, -6],\n [9, -2, 3, 15, 10, 12, -5, 5],\n [-10, 3, -2, 10, -8, -14, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1910", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 6, 9, 14, -12, 12, -13],\n [-14, 8, -12, 2, -5, -7, 12],\n [-8, 5, -8, -11, -3, -9, 5],\n [13, -11, -3, 4, 13, 0, 14],\n [-2, -11, 7, 3, -12, 8, 6],\n [8, -5, -14, -3, 0, -7, 0],\n [-9, 0, 15, 15, -3, -11, 11],\n [15, -1, -9, 2, 11, 4, 7]]\nB =\n[[-14, -8, 14, -6, -6, -5, 5],\n [13, 5, -8, 0, 0, 13, 13],\n [12, 1, -10, 2, 1, -4, -1],\n [15, 13, -9, 12, -2, 14, -12],\n [15, 1, 10, -5, 11, -10, -6],\n [13, 12, -1, 13, -10, 0, -4],\n [3, 0, -2, -10, 10, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-179", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-15, 10, 6, -8, -9, -2, -8],\n [-5, 12, 8, 15, -7, 3, -9],\n [-10, 2, -11, 3, -5, -11, 14],\n [11, 9, 14, 8, 9, -7, 11],\n [8, 14, -8, -5, 11, 6, -10],\n [14, -1, -10, 10, 6, 13, 14],\n [-5, 13, -1, -4, -7, -6, 13],\n [-1, 1, 0, 10, 6, -8, 15]]\nB =\n[[1, 15, -5, -5, -10, 9, 6],\n [14, -14, -15, 4, -10, 10, 10],\n [9, -11, 7, 6, 6, -7, -11],\n [2, 8, 15, 11, 14, 3, -1],\n [14, -1, -7, -2, -11, 14, 1],\n [-1, 4, 9, 1, 8, 8, 9],\n [-7, -3, 6, -3, -11, 12, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "227", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 14, -9, 9, -11, -4, -13, -7],\n [15, -6, 13, -15, -2, -15, -6, 14],\n [-5, 12, 4, -14, 7, -14, 15, 7],\n [8, 12, -5, -8, -13, -7, 10, 0],\n [10, 0, -6, -10, 4, 8, 4, 4],\n [-5, -8, 4, -15, -10, 12, -8, 14],\n [-2, -13, -14, 6, -15, -5, 5, -10],\n [-8, -9, -10, 2, -4, -8, 8, 11]]\nB =\n[[5, 3, 12, 11, 8, -11, 3, -7],\n [9, -4, -1, 7, -3, 8, -3, 5],\n [5, -11, 15, -14, 3, -8, -2, 13],\n [15, -10, 9, -9, -2, 15, -10, 0],\n [15, 11, 14, -12, -9, 0, -12, -9],\n [5, -14, 7, -8, -6, 11, -14, -10],\n [-12, 5, -15, -10, 12, -4, 11, -2],\n [-1, 8, 2, 1, -7, -1, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1133", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[15, 5, 2, -11, 0, -7, 6, -13],\n [-4, 8, -2, -15, -7, -7, 4, -3],\n [-8, -5, 14, -2, 0, -5, 3, 13],\n [6, -6, 10, -8, -5, 9, -8, 9],\n [4, -6, 1, 7, -5, -4, -6, 4],\n [1, -13, -9, 11, -13, 1, 7, -8],\n [15, 5, 6, 14, 3, -2, -11, 3]]\nB =\n[[-3, 2, 14, 7, 10, -5, 7],\n [-4, -8, -4, -15, 2, -14, -4],\n [3, 7, -9, -9, -15, 2, -8],\n [9, -6, 13, 7, 13, -15, -1],\n [-1, 12, -12, -6, -8, -2, -3],\n [5, 1, -9, -10, -7, 4, 4],\n [-8, -2, 14, 4, -13, 7, -3],\n [5, -7, 5, -7, 6, 6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1514", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 6) of the product matrix AB given:\nA =\n[[15, -10, 7, -4, 11, -12, -12],\n [9, 15, 12, 7, 11, 10, 6],\n [1, -9, -10, 12, 4, 13, -8],\n [-9, -8, -7, -15, -13, 2, 3],\n [11, -5, 0, 2, 11, -10, 9],\n [-14, -12, -11, 5, 15, -2, -15],\n [13, 6, -2, 5, -3, 6, 0]]\nB =\n[[14, -12, 13, 11, -10, -7, -15, 15],\n [6, 1, 12, 7, -12, -10, 0, -9],\n [13, 11, -11, -7, 8, 15, 3, -15],\n [11, 14, 10, -8, 4, 7, -12, 7],\n [14, 1, -15, -14, 5, 15, 11, -2],\n [10, 6, -14, -15, 9, -3, 15, 7],\n [-8, 14, 6, 13, -7, 8, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-209", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-14, 1, 14, -10, -13, 11, 4, 14],\n [1, -10, -8, -2, -6, 4, -6, -1],\n [-8, -5, 0, 10, -13, -1, -3, 15],\n [-5, -2, -9, 3, -1, -10, 4, 6],\n [-9, 8, -2, 6, -12, -7, -9, 9],\n [-1, -13, -11, 1, 11, 12, 8, -15],\n [-15, 14, 0, 7, -2, -5, -2, -8],\n [3, -14, 7, -6, -11, -1, -15, -14]]\nB =\n[[3, 6, 14, 1, -1, 8, 2, 5],\n [-8, 13, 5, 13, -2, -8, 14, 6],\n [7, -8, 3, -3, 12, 14, -11, -6],\n [-9, -7, -2, -10, -6, -15, -5, -8],\n [-10, 1, -12, -10, 13, -1, -6, 1],\n [-6, -11, 3, -9, 13, 8, 3, -6],\n [3, 14, -5, -13, 14, -5, -10, -10],\n [-1, -13, 6, 9, -5, -8, 11, 13]]\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[[13, 7, 7, -8, 7, 13, 0],\n [-13, -8, -8, -3, -15, -6, -11],\n [14, -11, 1, 6, -2, -10, -2],\n [-4, 4, 6, 14, 6, -15, -11],\n [2, 15, -2, -9, 13, 9, -1],\n [-7, 14, -1, 11, 0, -7, 11],\n [-9, -9, 1, -5, 11, -10, -2]]\nB =\n[[-1, 5, -8, 8, 11, -12, -15],\n [-10, 10, 15, -15, 5, -11, 3],\n [-11, 6, -11, 1, 15, 12, -4],\n [-9, -1, 3, 7, 5, -3, -4],\n [15, 3, -3, 11, -10, -15, -10],\n [-3, -3, -3, 4, -12, -11, -3],\n [-7, 1, -13, 15, 11, 4, 2]]\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 absolute values of all entries of the result:\nA =\n[[9, 11, -1, 7, -15, -7, -10, 2],\n [-15, 6, -9, -6, 15, -10, -9, -10],\n [-8, -14, -7, 9, 11, -7, -9, -7],\n [1, -13, 0, 0, -14, -5, 15, 0],\n [-1, -15, 5, 1, -13, 6, 6, 3],\n [4, -9, 6, 13, -5, 14, 14, 2],\n [9, -2, 0, -10, -14, 7, -5, -5],\n [10, -6, -12, 1, -6, -7, 14, -3]]\nB =\n[[-5, -6, 8, -11, -13, -12, -13, -6],\n [8, -3, -11, -3, 11, 8, -15, 15],\n [9, -5, 10, -13, 1, 3, -3, 0],\n [2, 7, 10, 4, 7, 3, 14, -10],\n [7, -9, -1, 14, -11, 0, -10, -13],\n [-4, -12, 11, 6, -13, 15, 0, 0],\n [7, 3, -1, -7, 4, -14, -10, -2],\n [-7, 13, -6, 10, 2, -1, -12, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10477", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 5) of the result:\nA =\n[[9, 7, 5, -10, 9, -1, 4],\n [14, 13, -14, 0, -11, 14, 7],\n [15, 12, -12, 12, -15, -8, 5],\n [-6, -1, -14, 3, -4, 14, -6],\n [-4, 10, 5, 11, 4, 9, -7],\n [-8, -14, 15, 5, 14, 8, 8],\n [-9, -12, 3, -8, 8, -3, 10],\n [5, -13, -11, 4, -8, -14, 11]]\nB =\n[[8, -6, 6, 0, -12, 11, 14, -2],\n [14, -13, -6, -3, -11, 6, 1, 1],\n [-5, 10, 3, 2, 12, 1, -5, -1],\n [-8, -4, 13, 1, 10, 14, 8, -11],\n [13, -12, 8, 15, 8, -5, 14, -8],\n [0, 0, -13, -4, 8, -3, -15, 13],\n [-12, 5, -10, -11, -11, 5, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 3, 2, 10, -14, 0, -1],\n [8, -11, 15, 5, 6, -7, 7],\n [-11, -11, 10, -7, -7, -14, -9],\n [10, -15, 4, -14, 10, 9, 15],\n [-4, -10, 4, 3, 0, -12, 2],\n [-11, 9, 6, 2, -10, 9, -2],\n [4, 1, 2, 5, -6, 7, 8]]\nB =\n[[3, 9, 2, -12, 4, -1, -10, 10],\n [-10, -13, -7, -5, -11, 15, -2, -14],\n [6, 3, -8, 15, -3, 3, -11, -1],\n [-12, -12, 2, 8, 3, 4, 6, 15],\n [-7, -1, 14, -4, -12, -13, -11, 9],\n [1, -11, 11, -12, 5, -9, -9, -9],\n [1, 9, -1, -9, -1, 4, -12, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2185", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -3, -4, -6, 3, -1, 1],\n [5, -10, 11, -11, 5, 12, 10],\n [-3, 14, 11, -2, 13, 8, -2],\n [14, -1, 0, -6, -15, 8, 13],\n [-5, -9, 15, 1, 14, 9, 12],\n [-12, 13, -9, -13, 8, 4, -2],\n [2, 2, 8, 14, 8, -15, -10],\n [-7, 9, -14, -8, 8, 4, 14]]\nB =\n[[-12, 5, 11, -6, 7, -15, -5],\n [-7, 3, -5, -12, 7, -11, 5],\n [1, 2, -11, 2, 1, 10, -13],\n [-5, 1, 10, -8, 8, -8, 7],\n [7, -14, 9, -9, 5, 4, 8],\n [5, -10, 4, 2, 12, -9, 12],\n [2, 11, -4, -9, -9, -15, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[-6, -6, -4, -13, -13, -3, -3],\n [15, 11, -10, 11, -13, 12, -1],\n [-7, 5, -10, -10, -8, 10, -5],\n [3, 0, -7, 7, -5, 0, 13],\n [-10, 11, 1, 0, 4, 5, 12],\n [2, -15, 2, -8, 10, 6, -6],\n [-14, -7, 8, -12, -5, -6, -2],\n [-9, 3, -10, 0, 3, 10, 13]]\nB =\n[[15, 3, -3, -4, 11, 9, 6, -1],\n [-8, -12, 4, -8, 7, 5, 0, 0],\n [-14, 6, 1, 7, 15, 9, -11, -11],\n [-4, -9, -11, 10, 12, 12, -12, 1],\n [-10, -2, -7, -12, 10, -5, 4, 5],\n [15, 0, 15, 0, 0, -10, -1, -13],\n [-7, -15, -5, 6, -10, 8, -11, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "300", "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, 12, 2, 5, -4, -9, -14],\n [-9, -7, 8, 10, 9, 14, 4],\n [-8, -7, -6, -4, -14, -6, -13],\n [-15, 1, 10, 15, 6, -15, -11],\n [14, -2, -10, -7, 6, -2, -12],\n [-15, -10, -9, 5, -10, 10, 8],\n [-15, -8, -4, 13, -5, -14, -14],\n [8, -14, -8, 5, 9, 9, 14]]\nB =\n[[8, 14, 9, -9, 0, 8, 6],\n [15, -7, 0, -14, -13, -14, 15],\n [6, 3, 11, 1, 4, 5, -4],\n [-5, 4, 6, 3, 10, -10, -6],\n [-2, -15, -1, -10, -3, 8, 10],\n [-2, -3, 8, 0, -15, -2, 15],\n [-3, 7, 14, -6, -6, 12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10902", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -4, 6, -10, -1, -11, -6],\n [-7, 11, -6, 8, -4, 6, -12],\n [13, -12, -3, 9, -2, -4, -3],\n [4, -3, 7, 14, 6, -14, 5],\n [3, -7, -6, 1, -6, 4, -3],\n [4, 9, 14, -15, -14, 1, -3],\n [1, 12, 14, -3, 1, 3, 11]]\nB =\n[[-2, 4, -6, -14, -2, 1, -11],\n [6, 2, -13, 0, 10, 3, 2],\n [4, 14, -11, -8, -10, -1, 9],\n [-13, 10, -7, 11, 14, -5, 4],\n [8, 10, 7, -2, 7, -7, -6],\n [14, -1, 2, 5, 3, -9, 3],\n [-11, 5, 2, 11, -15, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-795", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 2) when matrix A is multiplied by matrix B?\nA =\n[[-3, 1, -7, 10, 5, -15, -4],\n [8, -15, -12, -9, 4, 12, -11],\n [7, 4, -11, -9, 1, 15, -4],\n [-1, -13, 1, -2, -1, -1, -1],\n [3, -5, 2, 5, -6, 5, 10],\n [-7, 8, -13, -15, 5, -5, 0],\n [-13, 5, -7, -5, 14, 15, 1]]\nB =\n[[-15, -7, -13, 12, 15, -6, -11, 9],\n [-5, -11, -4, -2, -4, 3, -7, 12],\n [-9, 0, 12, 12, -9, -2, -8, 11],\n [5, 2, 11, 9, -13, 11, 14, -14],\n [10, 10, -11, -8, 3, 6, -7, -14],\n [-1, -8, -6, -9, 3, -15, 6, -14],\n [-13, 12, -2, -1, 5, -2, 11, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, 6, 1, -9, 4, -15, -7],\n [-7, -5, 3, -10, -9, 13, -1],\n [4, -10, -7, 14, -1, 10, 6],\n [7, -10, -9, 1, -10, 12, -7],\n [11, -13, -2, -10, -12, 0, 7],\n [0, 7, 13, -7, -12, 14, -8],\n [8, -8, 14, 8, -10, -8, -10]]\nB =\n[[10, -2, -2, 2, -3, -1, -13],\n [-10, 7, 14, 4, 1, 4, 0],\n [-10, -8, 13, 12, -3, 13, 14],\n [-3, 4, 10, 1, 5, 7, 6],\n [-13, -3, -9, 4, -11, -5, 7],\n [2, -12, 4, 6, 12, 11, -9],\n [-12, -6, -15, 1, -11, 1, -13]]\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 sum of all entries of the result:\nA =\n[[-7, -13, -13, 13, -7, -11, 12],\n [8, -6, -1, 9, -4, -10, -9],\n [-9, 7, -12, 13, -3, -1, 15],\n [2, 2, -9, -6, 0, 7, 10],\n [7, 13, -8, 3, 13, -5, 5],\n [-10, 13, 8, 8, -6, 3, 12],\n [-2, 4, -10, -12, 10, 4, -1]]\nB =\n[[-11, 0, 10, -9, 12, -14, -3, -14],\n [12, 10, 14, -7, 4, -11, -13, -14],\n [-2, 10, -8, 4, 14, -4, 1, 13],\n [0, -10, -10, 2, -14, -8, 11, 7],\n [-2, -14, 10, 15, 1, 11, 8, 15],\n [0, 10, 2, 5, -10, 10, 1, 2],\n [-2, -6, 15, -12, 2, -5, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1873", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[14, -12, 11, 3, -10, 9, -8],\n [2, 3, 2, 0, 10, -9, 9],\n [1, 11, -13, 6, -1, 15, -12],\n [10, 0, -2, 10, 1, -7, -9],\n [-2, 11, 12, 7, -4, 1, -7],\n [-4, -4, -8, 11, 12, -6, -4],\n [-11, 4, -15, -7, -1, 8, 13],\n [-14, -12, -12, 13, 7, -13, 0]]\nB =\n[[-8, 11, -9, 10, -4, -4, -12],\n [-1, 9, -10, -13, -9, 6, 8],\n [5, -10, -15, -8, -15, 0, -13],\n [12, -14, -10, -8, 8, -9, -9],\n [8, 5, 3, 2, -13, -5, -5],\n [-13, 12, 7, -15, 15, 7, 6],\n [11, -6, 14, -14, 10, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10740", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 4, -7, 9, 12, -5, 1],\n [-2, 2, 2, -4, 2, 15, -8],\n [13, -8, 10, 12, -8, 12, 4],\n [-1, -8, -2, -3, 7, -8, 1],\n [3, 10, -10, 1, -12, 9, -9],\n [1, 13, 12, 6, 6, 12, 2],\n [-10, 14, -6, 2, 8, -9, -2],\n [6, -2, -6, 6, 9, -7, 10]]\nB =\n[[-6, -14, -13, 0, -6, 7, -5, -6],\n [-4, 13, -2, 14, -7, 12, -3, 14],\n [-10, -5, -15, 11, -1, -9, -5, 1],\n [-11, -7, 10, 0, -5, 10, 9, 1],\n [-10, -1, 13, -13, 15, 12, -7, 14],\n [-4, 3, 2, 0, -8, 3, 15, -11],\n [-4, -10, 15, -4, 10, -1, 14, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11249", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[1, -9, 11, -9, 15, 5, 9],\n [-5, -14, 5, -14, -2, 2, 0],\n [12, -5, -7, -9, -12, 0, -2],\n [-5, 14, -8, -5, 11, 13, 4],\n [1, 12, 14, 10, 14, 3, -6],\n [-4, -15, -14, 2, -9, 0, -3],\n [-12, -6, 12, -7, 2, -7, 6],\n [-6, -8, 7, -5, -3, 8, -3]]\nB =\n[[0, -3, 9, -4, -1, 13, 0],\n [-8, -10, 8, -8, -14, 2, -5],\n [1, -6, -14, 7, 11, 3, 4],\n [4, 4, -14, 11, -10, 1, -4],\n [14, -11, -14, -7, -14, 6, 4],\n [-2, 6, -1, -14, 12, 2, -4],\n [-9, 0, 3, -13, -1, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "46", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, -9, -13, 3, 7, 3, 13],\n [2, 14, -9, 3, -11, 7, -3],\n [-14, 8, 2, -12, -12, -8, -5],\n [-15, 12, -7, -10, -12, -10, -3],\n [13, 6, 13, 14, -7, 11, -2],\n [-4, -12, -8, 1, 6, -11, -13],\n [-12, -8, 0, -5, 11, 10, 11]]\nB =\n[[14, 15, -14, -8, -9, -15, 13, -14],\n [7, 11, -3, -5, -13, -14, 0, -15],\n [-9, -13, 6, 0, 10, 8, -10, -2],\n [7, -5, 15, 6, 7, 5, 9, 3],\n [6, 9, 15, -15, 5, -3, 4, -7],\n [11, 13, -5, -15, -3, 4, -15, -13],\n [4, 1, -11, -10, 1, -6, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9920", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 2) of the product matrix AB given:\nA =\n[[13, -6, -2, 12, -3, 15, 12],\n [-12, 4, 14, 1, 2, -5, -6],\n [5, 2, 3, -7, -11, -15, -11],\n [-13, -15, 3, 11, -10, -6, -11],\n [-4, -4, 1, 11, -14, 5, 9],\n [11, -2, -4, 12, -3, -11, -11],\n [1, -11, 8, 9, 10, 3, -12],\n [-9, 7, 1, -5, -10, -3, -4]]\nB =\n[[14, 9, -11, 8, 11, -6, -5],\n [-7, 10, 10, -3, -13, 1, 14],\n [14, 2, -11, 0, 14, 10, 7],\n [0, -5, 6, -12, 15, -7, -1],\n [-4, 11, 0, -12, -13, 11, 5],\n [15, -12, -14, 3, -9, 12, -14],\n [-15, 2, 12, -8, -8, 12, -6]]\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[[2, 6, 11, 12, -5, 11, 7],\n [-15, -9, 12, 11, -8, 9, -2],\n [8, 3, -8, 3, 6, -12, 7],\n [8, -6, 6, -6, -12, -8, -9],\n [10, -1, -8, 13, -6, -9, 14],\n [3, -13, -7, 0, -2, -9, -4],\n [-15, 0, -13, 11, -15, -10, 13]]\nB =\n[[-14, -9, -8, 15, -3, 13, 0],\n [13, 15, 6, 5, -6, -12, 9],\n [8, 5, -3, 1, -8, -8, 7],\n [-9, 8, -15, -1, -1, 12, 3],\n [-12, 11, -10, -6, 15, -4, 10],\n [9, -12, -10, 9, -2, 14, -3],\n [9, 15, 6, 5, -13, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7824", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 5) of the product of the following matrices:\nA =\n[[-13, -11, -3, 10, 10, -1, 1, -10],\n [7, 2, -13, 10, -7, -8, 4, -5],\n [12, 8, -5, -8, 14, 6, 14, -15],\n [-14, 4, -12, -14, 9, -14, -3, 13],\n [6, 5, 4, -10, -12, 9, 11, 10],\n [-1, 7, 15, -13, 12, 10, -12, 1],\n [-10, -14, 4, -3, -1, -11, 12, 8],\n [3, -10, 1, 9, 15, 12, -15, -14]]\nB =\n[[-15, -8, 13, -12, 2, 7, 8, -7],\n [-1, 0, 5, 14, -13, -15, 15, 8],\n [-3, -2, -10, -11, 13, 7, -11, 11],\n [-12, 5, -4, -2, 11, 7, -2, -5],\n [6, -6, -6, 13, 12, 14, 11, -7],\n [10, -14, -2, -9, 1, 8, 4, -8],\n [8, 4, -12, -11, -3, -9, -10, 1],\n [-10, 3, 9, -13, -7, 5, 12, 10]]\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, -8, 9, 9, 7, 10, -1, -15],\n [-8, 7, -12, 6, -6, 0, 2, -12],\n [-8, -12, -6, 4, 14, -12, 0, 14],\n [-4, -6, 9, -5, -14, 0, 7, 3],\n [-4, -12, 1, -4, 15, 0, -13, -14],\n [10, -9, -10, -15, -1, 11, -4, -3],\n [-8, -7, -15, -11, -9, 2, 6, -8]]\nB =\n[[8, 10, -6, 13, -8, -4, 0],\n [-4, 6, 6, 11, -13, 2, -11],\n [-2, 9, 4, 15, 5, 0, 6],\n [11, -10, 0, 4, -2, 4, 8],\n [-11, -2, 14, -5, 5, -7, 4],\n [-9, 15, -11, 15, 13, -1, 9],\n [-3, -4, 8, -1, 8, 10, 10],\n [3, 9, 8, 3, -6, 1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1671", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-11, 13, -12, 8, 6, -6, 5, 9],\n [-10, 14, 13, -5, -5, 11, 0, -2],\n [11, 3, 6, 12, 11, 12, -12, -11],\n [6, 9, 3, 1, 2, -8, -12, 7],\n [2, 12, -5, 10, -2, -3, 8, 10],\n [0, 12, 14, -4, -7, 15, -9, -6],\n [13, 11, 1, 2, 9, 10, -9, 11]]\nB =\n[[-13, -1, 0, 5, 1, -3, 10, -13],\n [11, 4, 4, 7, -11, -7, 7, 2],\n [13, -5, -5, 0, -8, 11, -14, 7],\n [5, -6, -10, 11, -12, 5, 12, -11],\n [7, -5, -4, 0, 4, 5, -2, -2],\n [4, 4, -1, -8, 11, -11, 13, -7],\n [5, 0, 8, -13, -4, -9, 1, -1],\n [-1, -4, 5, -14, -8, 12, 6, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 7) of the result:\nA =\n[[14, -13, 14, 13, -15, 14, 0],\n [-6, 15, 10, -6, 14, -5, 10],\n [-4, 15, -8, 11, -11, -7, -5],\n [-1, 7, 1, -5, -3, 1, 7],\n [11, -9, -7, 2, 7, 2, 14],\n [-6, -4, 10, 2, 5, -7, -7],\n [-6, -15, -5, -2, 7, 10, 14]]\nB =\n[[-6, 12, -2, 3, 10, -6, 1],\n [-14, 6, -2, 10, 2, -14, 4],\n [3, 8, 15, -8, -10, 4, -9],\n [9, -3, -14, 6, -9, -15, -10],\n [0, -8, -3, 7, 2, -2, 2],\n [13, -12, -1, -11, 5, -2, 0],\n [-1, -5, -14, 7, 8, 14, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "60", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, -1, -4, 11, 11, -13, -12, 5],\n [0, -10, -14, 10, 6, -7, -4, -4],\n [11, 8, 15, 15, -2, 1, -7, -4],\n [11, -6, -5, -14, 15, 12, 0, 11],\n [-15, 6, 13, -15, 15, 6, -14, -4],\n [11, 7, 7, 12, 4, 2, -4, 11],\n [7, -15, 12, 11, -5, -14, -4, 15]]\nB =\n[[-14, 1, 9, -10, 0, 3, 12, -10],\n [-9, 3, 15, 4, 10, 1, -10, -1],\n [6, -7, -14, -11, 5, 7, -11, -4],\n [14, -6, -12, -4, -1, -6, 12, 15],\n [14, 2, 8, -11, -3, -12, -7, 2],\n [-13, 15, 8, -5, -12, -7, 10, 13],\n [-4, 10, -6, -6, -7, -6, -7, -15],\n [6, 0, 10, -2, -3, -10, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "554", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 7, 15, 2, 13, 12, 11, 4],\n [-15, -4, 11, -5, -3, 7, -12, 9],\n [-10, 6, 9, -3, 8, 6, -3, -10],\n [6, -12, 5, -13, 9, 14, -1, -5],\n [-14, 11, 7, 1, 10, 12, 7, -14],\n [5, -15, -11, 11, 4, 1, 12, 14],\n [-15, -9, 13, -13, 10, 0, 0, -4]]\nB =\n[[-7, 9, -2, -4, 10, 11, 9, 0],\n [1, -4, -12, 1, -15, 14, 9, 5],\n [1, -5, 3, 7, 14, 2, 4, -14],\n [-7, 12, -7, -4, 14, 15, -3, 0],\n [15, 13, -3, 7, -2, -9, -14, -4],\n [10, 12, 8, 1, 8, -11, 13, 4],\n [-6, 2, -13, -3, -3, -6, 13, -14],\n [11, 12, 0, -12, 3, -11, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1419", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 8) of the result:\nA =\n[[-11, -8, -14, 6, 8, 9, 11],\n [4, 4, -9, 13, -12, 5, -1],\n [15, 2, -14, 11, -2, -6, -11],\n [-4, -6, 10, 13, 15, 2, 12],\n [-10, 12, 15, 6, -4, 8, 15],\n [12, -15, -9, -4, 15, -9, -7],\n [4, -1, 7, -4, -3, 6, -12]]\nB =\n[[-6, 12, 8, -13, 8, 13, -11, -12],\n [3, -1, 14, 12, 10, 7, 13, -9],\n [13, 6, -13, 9, 14, 11, 0, -1],\n [2, -13, -2, -15, -9, -14, -6, 8],\n [9, 0, -4, 11, 14, 2, -10, 11],\n [15, 1, -8, 5, -7, 3, -14, -9],\n [-5, 7, -3, -6, -1, 5, -9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 9, -4, -13, 0, 4, -7],\n [-6, 14, -3, 15, -8, 10, -10],\n [12, -13, -4, -7, -7, -5, -10],\n [-14, -9, 15, -7, 9, 3, 2],\n [-4, 5, -5, -6, 13, 7, -13],\n [-4, -12, -6, -14, -4, 12, -5],\n [-2, -1, -2, 10, 13, -4, 13]]\nB =\n[[-14, 7, -14, -15, 4, -1, 14],\n [6, -6, 10, 4, -15, -15, 9],\n [-15, 7, -5, 12, 12, -4, -1],\n [-2, 7, -15, -15, -10, 8, 7],\n [6, 10, -13, -2, 12, 11, 7],\n [-10, -8, 4, 9, -1, 1, 12],\n [13, 7, -7, 0, 10, 14, -15]]\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[[10, 0, 3, 7, -7, 14, 1],\n [-10, 11, -2, 2, 5, 15, -2],\n [7, 14, -9, -6, 0, -9, 12],\n [4, 12, -10, 11, 10, -10, -9],\n [9, 6, 12, 10, 1, -8, -14],\n [3, 12, 5, 6, -9, -4, 4],\n [-13, 9, -12, 9, 9, -5, -4],\n [14, 3, 3, 13, 14, -5, -3]]\nB =\n[[8, -15, -10, 6, 9, 0, -14, -2],\n [8, 7, 2, 1, 4, 2, 3, 14],\n [-1, -14, 14, 9, -12, -15, -8, 4],\n [-2, 10, -5, 11, 8, 8, 9, -2],\n [12, 0, -6, -9, 0, -12, -4, -4],\n [14, -14, -10, 15, 4, -1, -1, 6],\n [0, 8, -13, -15, 5, -4, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 15, 3, 1, -7, 5, -3],\n [-1, 0, -3, -14, -14, -5, 14],\n [9, 12, 0, 1, 10, -13, 12],\n [13, 13, 10, 11, 7, 14, -15],\n [2, -2, 6, -7, 12, -7, -4],\n [8, 14, -13, -14, -15, 11, 11],\n [-7, -3, 14, 5, 12, 0, 3],\n [-6, 10, 11, -11, -2, 11, -1]]\nB =\n[[12, -13, -7, 13, -15, -15, 3, -10],\n [-5, 14, 2, -2, 0, -15, 8, 11],\n [-6, 15, 9, -6, -3, 12, -15, -13],\n [-2, 5, 0, 7, 10, 4, -10, -15],\n [4, 8, -11, -8, -4, -15, -3, 10],\n [-7, 4, 9, 8, -8, -3, 12, -14],\n [15, -1, -2, 3, 10, -7, 3, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "897", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-2, -8, -11, 14, -9, -12, -8],\n [-12, 5, 14, -15, 10, -8, -9],\n [-5, 5, 0, 6, 1, 8, 9],\n [11, -11, 10, -9, -6, -3, 4],\n [-1, -10, -14, -12, 5, -2, 9],\n [13, 9, 8, 13, -1, 12, -2],\n [-12, -10, -9, -3, 1, 13, 1]]\nB =\n[[-12, 3, 10, 4, -3, 13, -7],\n [-14, 14, 4, 7, 2, 8, 10],\n [4, 9, 14, 1, -9, 1, 11],\n [-6, 11, 9, -2, 12, 10, -4],\n [13, 10, -4, 1, 3, 12, 7],\n [-2, 13, 1, -1, 5, -10, 14],\n [3, 13, 6, 4, -10, -10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[-15, 3, -5, 10, -9, -14, -12, -10],\n [-11, 14, 6, 5, -7, -5, 12, 13],\n [2, 4, 1, 12, -3, 7, 1, 6],\n [10, -6, 13, 9, 2, 1, -4, -1],\n [11, 11, 11, 10, 13, 3, 6, -1],\n [-3, -9, -5, -8, 4, 0, 8, 7],\n [-5, 8, -11, 10, -9, 0, 14, 0]]\nB =\n[[4, 13, 1, 3, 12, 10, -1, 9],\n [-1, 11, 4, 14, 5, -1, -13, -4],\n [11, -10, 4, -11, -5, 7, -4, -9],\n [-7, 2, -2, -12, 15, -8, 0, -12],\n [12, 3, 14, 10, -10, 3, -1, -4],\n [14, -4, -14, -7, -13, -15, -2, 12],\n [15, 15, 12, -3, 13, 9, -11, -9],\n [-2, 0, 2, -2, -15, -10, 13, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "201", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[-6, -10, -14, -9, 1, 11, 8, -2],\n [7, -9, 6, 10, 5, -7, 3, 14],\n [9, 5, 8, -5, -13, 7, 10, -12],\n [-11, -12, -3, -7, 12, 7, -2, 0],\n [15, 15, 6, -10, 11, -6, 7, 5],\n [10, -3, 14, -13, 11, -5, -13, -9],\n [11, 14, -6, -15, -12, 10, 14, -8],\n [4, 1, -11, 15, 1, -7, -8, 14]]\nB =\n[[-9, -11, -12, 7, -13, -8, -11],\n [-11, 1, 13, -1, 10, 15, 11],\n [-8, -9, 1, -4, 12, -12, 4],\n [12, 9, 10, 2, -12, -6, -13],\n [10, 15, -11, -4, 7, -11, -11],\n [-12, 14, 9, -10, -6, -10, 11],\n [6, 6, -15, 0, -5, -10, 4],\n [2, -10, 1, -4, 1, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-196", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, -6, 8, 4, -4, -12, -6, 14],\n [-11, 10, -12, 11, 14, 0, -11, 10],\n [3, 8, -10, 8, 15, 15, 5, -9],\n [-6, -9, 6, -2, 12, -6, 14, 13],\n [4, 6, 9, -5, -2, 15, -4, -12],\n [-3, 6, 6, 13, -13, -3, 4, 3],\n [-1, 3, 10, 12, 4, 13, -12, -10],\n [13, -1, -12, -10, -14, -12, 2, -1]]\nB =\n[[-4, -8, -4, -7, -9, 6, -8, 4],\n [-6, -5, -14, 14, -12, 5, 9, 5],\n [9, -7, -8, -11, -2, 12, -14, 5],\n [11, 1, -8, -14, 7, -1, 11, -14],\n [12, -5, -2, 14, 5, -6, -9, 6],\n [-2, -3, 5, 6, -14, -6, -15, -15],\n [8, -13, 15, -5, 3, -7, -3, 6],\n [-12, 4, 7, -10, -14, -7, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-159", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-12, 10, -15, -15, 9, 4, 1, 3],\n [-13, 7, 6, 8, 7, 1, -13, 9],\n [-12, 11, 12, 11, 13, -3, 14, 14],\n [14, -1, -4, -13, 5, -8, -15, 2],\n [-3, -9, -3, 1, -3, 13, -3, 14],\n [14, -5, -2, 5, -6, -8, 15, -10],\n [3, 7, 3, -4, 5, -9, 2, 10]]\nB =\n[[4, 2, 7, -13, -7, 11, -10],\n [-15, -6, -8, 13, 7, 1, -13],\n [-13, 14, -13, 15, -9, 6, -5],\n [12, 2, -11, 6, 12, -14, 15],\n [-2, -15, -12, -2, -1, 12, 4],\n [4, 1, -13, 7, -12, 2, 8],\n [11, -15, 13, 9, -11, 2, -3],\n [-2, 4, -13, 7, -10, 11, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1605", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -7, 4, 12, 3, -9, 6],\n [5, 15, 15, -6, -9, -11, 9],\n [12, -12, 1, 10, 12, -11, 1],\n [12, 13, 1, 1, -15, 8, -14],\n [9, 7, 14, 11, 3, -7, 4],\n [7, -1, 3, -11, -3, -12, -3],\n [-10, -4, 13, -7, -1, 5, -1]]\nB =\n[[1, 13, -11, -11, 9, 8, -11, 5],\n [15, -2, -14, -7, -2, 11, -1, -12],\n [7, 10, -10, -2, -11, 11, -5, 5],\n [-2, -9, -2, -3, 2, 9, -14, -7],\n [-5, 4, 13, 10, -5, 10, -10, -15],\n [-11, 6, 9, -2, 9, 0, -7, 14],\n [3, 13, 4, -8, -8, 0, 2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-737", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, -7, -11, -14, 5, -2, 2],\n [-3, -4, -1, 5, -1, 13, 15],\n [9, 7, 7, -15, 9, 6, -9],\n [-3, 12, 2, -15, -5, -3, 4],\n [12, -7, 14, 9, 14, 0, -5],\n [-13, 1, -14, 15, -7, -7, 0],\n [12, -15, 9, 1, -6, 4, -11]]\nB =\n[[-8, -3, 5, -11, -12, 9, 13, -8],\n [9, 7, -9, -11, -6, 1, 12, -10],\n [-6, 0, 6, -6, -12, -14, 15, -15],\n [-13, 11, -3, 15, 13, 9, -4, -15],\n [5, -6, -10, 15, -7, -15, -4, -11],\n [-15, -14, -2, -14, 11, -11, -6, 4],\n [-10, -11, -14, -7, 13, -6, -8, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-305", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, 11, -10, -11, 5, 2, 11],\n [4, 2, -14, -4, -8, -12, 12],\n [14, 4, 7, -12, -7, -7, -4],\n [-2, 14, -13, -10, -1, 7, 3],\n [-12, 14, -15, 11, -7, 7, 10],\n [0, 7, 15, -7, -4, -2, -1],\n [6, 8, 5, 0, -8, 12, -6],\n [-2, 1, -13, 15, -12, 0, -2]]\nB =\n[[11, 9, 8, -2, 0, -8, 2, -9],\n [15, 12, -13, -10, 15, 4, 0, 6],\n [-12, 3, -14, -12, 10, -14, -9, -1],\n [1, -2, -5, 1, -11, 7, -2, 1],\n [12, 12, 4, 5, -14, -9, -12, -8],\n [14, 14, 15, -15, -6, -15, -15, -12],\n [1, 15, -11, -2, 14, -10, -9, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "322", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 2, 12, -12, 7, 9, 9, 11],\n [-13, 12, 7, -12, 9, 7, 0, -3],\n [13, 6, 9, 7, -5, 8, -5, -11],\n [4, -15, -2, 8, 6, 4, 3, -11],\n [4, 11, 11, 7, -10, 3, -4, 10],\n [13, 11, 12, -2, 1, 14, -9, 5],\n [-15, 1, -10, -12, -2, -8, 2, 4]]\nB =\n[[12, -3, -8, 15, 15, 12, 8, 0],\n [-11, -13, -3, -1, -12, -13, 11, -14],\n [14, -12, 9, -10, -12, 1, 14, -9],\n [2, 12, 6, -6, 1, 13, 7, -12],\n [11, 3, 10, -9, -3, -13, -8, -5],\n [0, 4, 3, 7, 7, -7, -6, 7],\n [-10, -13, 4, -8, -10, 9, -8, -2],\n [-8, -5, -6, 10, 7, -6, -5, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-934", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, -11, -2, 7, 10, 9, 12, 4],\n [-8, 1, -12, -12, 2, 11, 11, 3],\n [-13, -7, -9, -14, -7, 8, -10, -10],\n [12, 0, -14, 13, 0, -13, 6, 14],\n [0, -4, -13, -5, -5, 7, 14, 0],\n [-11, 4, -8, -5, -5, 2, 3, -6],\n [12, -12, 12, -6, -2, -10, 15, -11]]\nB =\n[[-1, -11, 7, 8, -10, 15, 14, 3],\n [4, 14, 1, -2, -5, -2, -11, -3],\n [15, -4, 10, 8, 3, -6, -3, -1],\n [4, -3, -12, 6, -7, 10, 3, 4],\n [6, 6, -9, -1, 1, -2, -2, -7],\n [0, -14, -2, -12, -13, -13, -5, -11],\n [0, 7, 13, 12, 7, 14, 14, 7],\n [3, -7, 6, -5, -4, 11, 10, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10497", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 2) of the product matrix AB given:\nA =\n[[-8, -2, 15, 14, 1, 4, -1, -1],\n [7, -4, -7, -4, 3, -4, -5, 12],\n [-10, -8, -5, -13, 0, -10, -7, -7],\n [-10, -11, -15, -13, 15, -13, -4, -12],\n [5, 0, -5, -8, 13, 11, -7, 12],\n [14, -2, 7, 13, 10, 6, -1, 3],\n [-7, 10, 1, -7, -13, 9, 0, -3],\n [10, 1, 8, 6, 14, 9, -12, 12]]\nB =\n[[5, 6, 12, -7, 6, -7, 2, -2],\n [4, -13, -12, -15, 2, -12, -6, -12],\n [5, 9, 1, -8, 3, -7, 0, 11],\n [8, 8, 9, -1, 4, 0, 12, 5],\n [-4, 7, 2, -9, 0, 12, 3, -10],\n [13, -10, -10, 10, -1, -14, -7, -8],\n [-9, 11, 14, 12, 12, 0, -1, -7],\n [4, -1, -14, 4, -2, 12, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-397", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[14, -13, -14, 2, -2, 8, 13],\n [-11, -4, -2, -10, -8, -9, -9],\n [-4, 13, -9, -4, 11, 0, 11],\n [-9, -8, -15, -3, 3, 15, -15],\n [8, 2, -9, 6, 11, 1, 12],\n [-1, 6, 9, 3, 12, 7, -12],\n [1, -9, 0, 1, 11, 4, 13]]\nB =\n[[-1, -7, 5, 7, -3, -9, 15, 12],\n [3, 13, -5, -8, 1, -12, 10, -12],\n [2, 6, 15, 1, -13, -7, 12, 10],\n [-10, -14, 12, -4, 15, -1, -7, 13],\n [-14, -4, 0, -9, 15, -15, 5, -9],\n [-13, 4, -11, -13, -1, -10, -1, -13],\n [8, 7, -15, -14, -12, 5, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3979", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[11, 14, -6, -5, -12, -1, 4],\n [14, 9, -12, 4, 4, 0, -14],\n [-3, -8, -3, 14, 4, 5, -8],\n [14, -12, -11, 5, -10, 7, 3],\n [14, -6, 11, -13, -3, -7, 1],\n [15, -6, -4, -3, 8, -6, 3],\n [5, 3, 10, 1, 10, 14, -11],\n [-8, -11, -1, -12, 9, -3, 1]]\nB =\n[[-11, -15, 15, 6, -1, -6, 9, -5],\n [14, 2, 13, -3, 4, 8, 14, 0],\n [3, 14, 7, -4, 7, -2, 15, -14],\n [12, -6, -12, -15, 8, 10, 10, 9],\n [1, -5, -9, 1, 12, 1, -7, -6],\n [10, -10, 1, 0, -9, 3, 10, -12],\n [14, 4, 8, 1, 8, -7, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-460", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-15, 15, -9, 6, -11, -11, -15, -10],\n [-3, -1, -12, 14, 14, 1, 12, 8],\n [8, 15, 12, -3, -5, -12, 13, -9],\n [3, 8, -9, -2, 5, 0, 5, -7],\n [6, 15, 6, -14, 11, 0, -11, -4],\n [4, 10, -1, -13, -7, 11, 12, -9],\n [15, -12, 9, -7, 12, -1, 7, 5]]\nB =\n[[13, 9, 14, 13, -9, 9, -5],\n [3, -5, 9, -15, 5, -3, -3],\n [-14, 1, 14, 3, 7, -1, 3],\n [-6, -6, 11, -7, 3, -5, -10],\n [15, -14, 8, -6, -1, -11, 2],\n [14, 14, -9, -13, 14, 5, 11],\n [9, 0, 1, 15, -14, 0, 5],\n [14, 4, -15, -2, 0, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "447", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -8, -7, -14, -3, -15, 6, 14],\n [-9, 2, 5, -11, -9, -4, 11, 1],\n [10, 8, -11, -4, 3, -3, 0, 13],\n [9, 11, 3, 7, -6, -4, -9, -2],\n [-6, 12, -8, -1, 10, 0, -8, -12],\n [14, 1, -12, 6, 10, -5, -3, -10],\n [6, -2, 12, -9, -4, 11, -15, -6],\n [-15, 0, -9, 12, 4, -10, 6, 9]]\nB =\n[[2, 4, -12, 7, 0, -15, 5],\n [14, 11, 4, -14, 0, 5, -7],\n [-1, 8, 0, -7, -9, -6, -9],\n [14, 14, -3, -14, -4, -3, -13],\n [-5, 10, -8, -5, 2, -9, -4],\n [-10, 12, -6, 4, 11, -1, 4],\n [-1, 3, 14, -10, 3, -1, 9],\n [4, 4, 2, -14, -9, -11, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8422", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -10, -15, 3, -4, -11, 11],\n [13, 11, -9, 4, 12, -8, 3],\n [-10, -1, -10, -7, -12, 0, 7],\n [-6, -15, -5, 1, 2, 4, 12],\n [6, 4, -1, -10, 0, -14, 9],\n [11, -13, 7, 1, -8, 4, 14],\n [11, 12, -1, -3, 5, 7, 3],\n [9, 9, 8, -15, 12, 13, -4]]\nB =\n[[2, 2, -13, 2, 1, -5, -11],\n [6, 13, -9, 10, 7, 2, 13],\n [-9, 2, -14, 12, -10, 6, -8],\n [5, 5, 10, 1, -12, 1, 10],\n [0, 5, -1, -1, -8, 1, 14],\n [3, -15, -3, -10, -6, -15, 10],\n [-4, 3, -1, 5, -11, -14, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1423", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 5) when matrix A is multiplied by matrix B?\nA =\n[[-2, 13, -7, 13, -15, -3, 1],\n [12, -14, 8, 6, -2, 4, 7],\n [-10, 9, -10, 2, 3, -7, -1],\n [15, -9, -10, 13, -11, 3, 4],\n [-15, 5, -9, 2, 11, 12, -8],\n [15, -4, -6, -10, 10, 0, 14],\n [3, 2, 8, -3, 4, -9, -9]]\nB =\n[[0, 14, 10, 9, -6, -1, -2, 8],\n [-4, 13, -1, -8, -9, 10, 5, -7],\n [-2, 12, 11, -9, 15, -4, -2, -5],\n [3, 12, -10, -13, -10, 13, 8, -7],\n [-14, -10, -2, 3, 15, 14, 14, 7],\n [11, -12, -2, 15, 15, 5, -6, -10],\n [-5, -3, 8, 2, 4, -2, 11, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "162", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, 4, -5, 5, -11, -8, -12],\n [-4, -10, 7, 8, 9, 10, -8],\n [14, -12, 4, -6, -5, -1, -11],\n [-13, -1, -14, -14, 9, -8, 6],\n [-2, 14, 15, 14, -7, -11, 14],\n [-4, -6, -15, 8, 3, 14, 9],\n [-5, 1, -13, -15, 1, 15, -10]]\nB =\n[[-3, 4, 10, -12, -11, -1, -2],\n [3, -1, -4, 2, -2, -6, -8],\n [11, 7, 15, 10, 13, -12, 2],\n [12, 9, -8, -12, -5, -11, 14],\n [-6, -10, 13, -12, 2, 5, 11],\n [1, -9, -7, -13, 6, -7, 11],\n [-12, 6, 14, 15, 3, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9937", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 4, -10, 11, -5, 8, -1],\n [6, -10, 4, 8, 14, -6, 8],\n [9, 6, 2, 0, -12, 4, -3],\n [8, -11, 4, 8, 13, 3, 2],\n [4, 11, 1, 0, -15, 5, 13],\n [11, -15, 14, 4, 8, -2, 8],\n [-14, -1, 13, -13, 14, -3, 3]]\nB =\n[[-15, -3, -1, 0, 14, -5, -13, -8],\n [-10, 15, -11, 10, 12, -1, -7, 14],\n [7, 6, -11, 5, -6, 9, 13, 10],\n [-10, 12, -5, -12, 4, -4, 4, 11],\n [-10, -15, 9, 14, 2, -14, -11, 0],\n [-4, -4, -5, 4, 3, 5, -9, 10],\n [-14, 13, 13, -10, -12, -14, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1744", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, -6, 0, -14, 8, 3, -9, -14],\n [-3, 7, 15, -12, 0, -6, 1, 5],\n [12, -2, -4, -3, 14, 4, -8, 1],\n [2, 5, -6, 10, 12, -3, -14, 11],\n [1, -10, -4, 13, -3, 12, 10, -12],\n [-1, 0, 5, 3, -1, 10, -10, 4],\n [13, -10, 13, -11, 11, -14, 4, -14]]\nB =\n[[-11, -13, -10, 15, -5, -11, 2, -2],\n [-6, 11, 8, 6, 9, -13, 0, 14],\n [0, -5, -12, -5, -8, 0, 7, -8],\n [-7, -2, -8, 8, 0, 6, 11, -14],\n [12, 7, 4, 3, 4, 4, 3, 9],\n [14, 3, 2, -3, 1, 11, -15, 5],\n [12, 12, -11, 12, 9, 4, 5, -3],\n [-10, 13, -6, 7, -7, 13, -10, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-185", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[8, 14, 2, 9, 11, 7, -9],\n [10, -6, -4, 5, 8, 10, -1],\n [1, -13, 9, -1, -15, -5, 8],\n [-10, 12, 15, 13, 0, 15, 10],\n [5, -4, 6, 11, 5, -1, 9],\n [2, -6, 6, -4, 4, 3, 12],\n [-11, 2, 3, 7, -4, -15, -14]]\nB =\n[[-13, 10, 13, 14, -4, -2, -9],\n [-12, -4, 8, -8, 15, -15, -11],\n [-15, -1, -3, 13, 7, -3, -12],\n [-1, -4, -8, 0, -4, 8, 9],\n [11, -10, 7, -1, -9, -11, 7],\n [-1, 9, 12, 14, -4, -5, -12],\n [-3, 2, -8, -9, 6, 7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "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, -13, 6, 10, 14, 0, 0, -9],\n [7, -3, -3, 5, 3, 2, 13, -9],\n [4, 2, 13, 8, 2, 6, -12, -7],\n [5, 0, -12, -8, -13, 14, 13, -7],\n [-8, 14, -4, -2, 12, 8, -6, 5],\n [1, -5, -6, -3, 9, -14, -15, 6],\n [-15, 0, -6, 10, 13, -6, 15, -9],\n [14, -9, 13, -15, 10, -3, -11, -13]]\nB =\n[[13, -3, 11, -4, 14, 2, 11, 15],\n [-11, -11, -14, -10, -9, -15, -13, 4],\n [-14, -6, -5, 5, -3, 0, 4, -5],\n [2, 15, -5, -15, 8, 2, 4, 12],\n [10, -11, -14, 10, 9, 2, 6, -9],\n [6, -5, -5, 15, 12, -3, -12, -15],\n [2, 15, -4, 10, 12, -6, 12, 14],\n [6, -8, 14, 15, -13, -9, 15, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12382", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[4, -5, -9, -9, 13, 12, 10, -7],\n [-13, -5, 1, -8, 4, -14, 5, 4],\n [-15, 0, 12, 7, -12, 8, -7, -8],\n [-15, -8, -11, -15, 9, 9, -9, -1],\n [-9, 11, -15, -7, -15, 13, 15, -4],\n [-9, 9, -7, -11, -4, 13, 6, -14],\n [2, 10, -7, 13, -15, -6, 12, 12]]\nB =\n[[-2, 5, -2, -9, -4, 10, 6],\n [6, -10, -3, -8, 7, 5, 10],\n [-14, -6, -10, 0, -6, -1, 5],\n [4, -6, -5, 5, 9, 12, 13],\n [-14, 6, 15, 11, 9, 12, -6],\n [13, 5, -4, -5, 6, -1, 10],\n [12, -12, -11, 8, 12, -15, -15],\n [-6, -12, -3, -2, 10, 3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "440", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 10, -8, -15, -11, 14, 5],\n [2, -3, -11, 8, 10, -9, -4],\n [-14, -3, -2, -10, 0, -6, 13],\n [11, -5, -15, -1, 0, -6, -6],\n [-13, -5, -5, 0, -10, 14, -7],\n [-15, 12, -10, 2, 9, -3, -14],\n [12, 3, 12, -14, 11, -12, -12],\n [-6, 1, 8, 0, 5, 12, -8]]\nB =\n[[13, -10, 14, -14, 7, 10, -1, 15],\n [15, 9, 7, -5, 5, 0, -12, -5],\n [-2, -8, -10, 13, 5, 7, 11, 3],\n [9, -12, 12, -12, 15, 8, -10, 14],\n [-5, -15, -14, -7, 0, -10, 7, 11],\n [-7, 3, -11, 5, -6, 14, -9, 13],\n [-14, 4, 11, 15, -12, 12, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13369", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, -14, -7, 12, -5, -12, -7],\n [-10, -15, 14, 11, -13, -9, -7],\n [-8, 12, 5, 12, -3, 8, 2],\n [3, 8, -7, 10, 8, 4, 13],\n [-10, 11, 5, -4, 15, -12, -7],\n [-6, -13, 1, 13, -9, 10, -8],\n [-5, -3, -13, 3, -2, 6, 0],\n [-1, -14, -10, 5, 14, -9, 15]]\nB =\n[[-7, -7, 1, 7, -13, -12, -14, -15],\n [-6, 14, -13, -6, -7, 1, -1, -13],\n [11, 5, -13, -12, -12, 1, -10, -5],\n [-4, 7, 12, -9, -3, -10, 7, 14],\n [-13, 5, -2, -2, 7, -6, -11, 14],\n [10, -14, -10, 7, -5, 2, 10, 8],\n [5, -5, 8, -1, -13, -14, -9, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4964", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -3, -8, 13, -7, 15, 14],\n [-8, -6, -14, -6, -5, 7, -5],\n [-11, -2, 7, -13, 4, 7, -14],\n [2, -15, -15, 12, 1, -10, -3],\n [5, 15, 10, 8, 5, -15, 12],\n [8, -10, -8, -3, -14, 10, -8],\n [6, -15, -3, -15, -6, 12, -11]]\nB =\n[[7, 4, 14, -3, 10, -11, -6, -13],\n [-14, -14, 14, -11, -12, -14, 5, 10],\n [-7, 8, -7, -7, 8, 9, -12, -8],\n [14, 2, -7, 13, 9, 11, -13, -10],\n [12, 7, 3, -11, 1, 11, 3, 12],\n [8, -13, -8, -7, 6, 7, 6, -8],\n [-2, 7, -6, 1, -13, -13, 15, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9268", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-12, 13, 1, -2, 11, 15, -14, -4],\n [-11, 11, 6, 9, -14, 14, -4, -7],\n [7, -7, 4, 7, -15, 8, -9, 7],\n [2, -6, -1, -7, -5, 8, -15, -5],\n [-15, 14, -11, 2, -15, -6, 12, -3],\n [11, -8, 12, -3, 4, -14, 14, 5],\n [-4, 11, 13, -3, 12, 6, -8, -1]]\nB =\n[[15, -9, -9, 1, 3, -13, -9, -4],\n [-2, -14, 10, -9, 0, -7, -15, -4],\n [14, -14, 11, 6, 2, -2, -4, 2],\n [-11, -9, -12, -3, 0, 6, 12, 0],\n [3, -12, 4, 15, 4, 12, -15, -3],\n [4, 4, 6, -7, -6, -10, 6, -9],\n [7, 0, 1, 8, -15, 15, -7, 14],\n [-2, -1, -12, 9, -8, 9, -1, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12891", "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, 9, -12, 3, -13, -8, -14, 12],\n [6, 9, 15, 9, -8, -8, 1, 0],\n [0, 0, 11, -9, 14, -1, 1, 9],\n [-13, -15, -8, -9, 2, 14, 7, -11],\n [-1, -9, -6, 0, 12, 7, -14, 2],\n [-1, 7, 3, 4, 15, -2, 7, 14],\n [-14, 13, 2, -7, 11, -15, 0, -4],\n [-4, 3, -6, 4, -11, 15, -13, -7]]\nB =\n[[5, 7, -1, -2, -5, -3, -9],\n [11, 9, -14, -13, 4, -8, -15],\n [9, 5, -12, -3, 8, -2, -7],\n [-13, -2, -12, 1, -1, -4, -2],\n [3, -6, -11, 15, 13, 8, 14],\n [1, 1, -13, 0, 9, -7, 1],\n [4, -4, 8, -14, 4, 0, 7],\n [7, 5, 7, -10, -14, -7, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10071", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, 6, 10, 5, 2, 13, -6],\n [-6, 7, -6, 13, 2, 0, 7],\n [14, -10, -4, 12, -12, 4, 0],\n [12, 6, 9, 10, 6, 6, -5],\n [-15, -11, 15, 1, -5, -2, -7],\n [-6, -12, -14, 9, -10, 14, 11],\n [13, 10, -13, -3, -4, 2, -10]]\nB =\n[[-6, -10, 14, 12, 12, 9, -11, 11],\n [-1, -1, -4, -7, -3, 0, 5, -14],\n [1, -7, 10, 7, 3, 15, 12, -10],\n [10, -12, 14, 9, -1, 2, 14, 11],\n [-4, 15, -4, 4, 1, -9, 14, 4],\n [-11, 15, -4, 1, -14, 12, -12, -14],\n [-2, -2, -3, 1, 10, 1, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1080", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-13, 5, 0, 3, -10, 7, 10],\n [-10, 2, -7, 2, -10, -7, 9],\n [2, 9, 0, 8, 14, 7, -3],\n [-5, -8, 10, 8, 1, -7, -10],\n [-15, -15, -3, -9, -6, 2, -10],\n [-3, -11, 5, 10, -1, -4, 6],\n [14, -5, -8, -11, -8, -11, -6]]\nB =\n[[-1, -10, 8, 2, 7, -13, -7],\n [-6, -9, 15, 3, 15, 8, 10],\n [-14, 10, 12, -8, -9, 12, -11],\n [-12, -5, 10, 12, 14, -6, -15],\n [13, -12, 6, 15, -10, 2, 9],\n [-3, -3, -15, -12, -12, 2, 8],\n [11, 2, 2, -1, 2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[13, -11, -5, 0, 4, -14, 1, -15],\n [2, 1, 9, 15, 2, 3, 9, -11],\n [14, -3, 8, 7, 15, 14, -10, -3],\n [2, 14, 13, -12, -7, 7, -13, 6],\n [8, 8, -8, -3, 8, 10, 15, 6],\n [-5, 15, -6, -5, -13, 9, -2, -2],\n [14, 3, 12, 12, 15, -12, 15, 10]]\nB =\n[[-15, -14, -10, 14, -3, -2, 12],\n [-15, 12, 9, -8, 2, -2, -14],\n [8, -4, 11, 8, -15, 14, 5],\n [-1, -5, 2, 1, -13, -1, -3],\n [-13, -3, 10, -7, -6, -15, 11],\n [-14, 9, -2, -11, 9, 6, -6],\n [10, 3, -8, -3, -7, 2, 9],\n [-12, -8, -11, 13, -10, 4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1118", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[12, -15, 15, 12, 3, 14, -12],\n [-15, 13, 3, -12, -2, -2, -7],\n [3, -5, 0, 3, -12, -7, 9],\n [1, -1, -8, 10, -3, -15, -14],\n [-6, 11, 5, 11, -3, 15, -5],\n [-2, 0, 12, 13, -10, -14, 10],\n [-11, 3, -9, 12, 12, 1, -11],\n [-4, 3, 11, 2, 12, -4, -13]]\nB =\n[[10, -12, -1, -1, -5, -14, 2],\n [-13, 2, -2, -10, -14, -15, -8],\n [-6, 15, 4, 2, 4, -5, 2],\n [11, 0, -11, -9, 6, -14, -5],\n [-3, 4, 8, 12, 0, 14, -2],\n [-9, -9, -4, -4, 4, -15, 7],\n [-10, -8, 11, -3, -11, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8202", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[11, -2, 8, -7, 1, -13, -4, -4],\n [-5, 6, 13, -12, -8, -6, -2, 14],\n [-15, 15, -4, -11, -2, -12, 12, 1],\n [10, 6, 15, 10, -3, 15, -13, -5],\n [15, -5, -11, -10, -12, -6, -6, -4],\n [6, 7, 2, 14, -1, 7, 7, 2],\n [-13, -13, -15, 1, -6, 11, -10, 9],\n [9, -5, -2, 1, 12, -9, 6, -12]]\nB =\n[[-5, 3, -7, 10, 5, -8, 4, -12],\n [0, -10, -10, 3, 15, -14, -5, 9],\n [2, -7, 12, 0, -5, -2, -8, 11],\n [-3, -6, 7, -4, 5, 13, -13, -14],\n [-5, 8, 2, 8, 5, 9, -12, -8],\n [13, -5, -1, 7, 12, 8, 5, -14],\n [7, 3, -1, 13, 10, 10, 10, 15],\n [12, 11, 10, -3, -14, -13, 14, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1173", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[4, 10, -3, 11, 7, 10, 0, 15],\n [-4, -15, -10, -3, 6, 8, -14, 2],\n [1, 3, 7, -1, -8, 7, -7, 15],\n [-8, -8, -5, 2, 1, 6, 7, -10],\n [7, 8, -14, -15, -6, -8, 0, 8],\n [-2, 8, 0, -2, 10, -9, 2, 4],\n [-7, 8, -12, 8, 10, 13, 0, 6]]\nB =\n[[-5, -7, 1, 6, -5, 4, -13],\n [5, 10, -5, -8, 15, 11, -6],\n [-10, 1, -10, -9, -3, -10, -13],\n [11, 9, -3, -6, 10, -12, -11],\n [5, 3, 12, 2, 8, -9, 5],\n [13, -15, 10, 1, 8, 4, 13],\n [4, 14, 9, 2, -11, 6, -10],\n [-6, 12, 14, 3, -6, -10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[-6, 5, -4, 8, -12, -3, 10],\n [-6, 0, 3, -10, 10, 14, -7],\n [-2, 8, -6, -8, -13, 1, 3],\n [14, -13, -2, 12, -10, 13, 3],\n [2, -4, -1, 9, -10, 5, -4],\n [3, -9, 7, 4, -6, 2, -14],\n [-3, -1, 12, 8, -12, -9, -13]]\nB =\n[[9, 0, 10, -7, 7, 7, 1, 10],\n [-8, 2, 8, 11, -3, -14, -15, 0],\n [0, 15, -5, 8, -12, 15, -5, 10],\n [15, -10, 10, 13, -5, 10, -15, -7],\n [11, -9, 5, 6, -13, 13, -7, -14],\n [12, -6, 1, 14, 15, -15, 10, 2],\n [-10, -10, -7, -6, -1, -12, -8, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "423", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-13, -12, -15, -7, -5, 15, 5, 7],\n [3, 5, 13, 10, 14, 4, -9, -11],\n [-14, 3, 8, -13, -1, -9, -11, 7],\n [-6, -7, 7, -2, 6, 12, -3, -15],\n [0, 4, -8, 1, -10, -14, 15, -3],\n [9, -8, 9, -7, 14, -3, 2, 2],\n [-7, -14, -12, 2, 1, -4, 0, -3],\n [-5, -2, -6, 7, 12, 11, 5, 3]]\nB =\n[[8, 5, 1, -7, -2, 14, -11],\n [-13, 6, -8, 2, 11, 14, -13],\n [7, -14, 11, -5, 12, -11, 9],\n [14, -9, 14, -2, 13, 3, -14],\n [10, -7, 9, 9, -6, 3, 1],\n [9, -9, 2, -10, 11, -7, -8],\n [11, 12, 6, 6, 8, -7, 8],\n [-15, 15, -14, 6, 8, 15, -12]]\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[[12, 4, 13, 2, -6, -15, -6],\n [-7, 7, 9, -3, -1, 2, 10],\n [-3, -11, 15, 15, -14, 10, -9],\n [-7, 3, -2, 1, 4, 4, -5],\n [6, -11, -4, 13, 5, -7, 13],\n [11, 1, -8, 8, 11, -8, 13],\n [-4, 14, 13, 3, -6, 8, -14],\n [8, 12, -8, 15, -2, 3, -12]]\nB =\n[[-7, -3, 15, -7, 10, -3, 9, 0],\n [10, 6, -15, -8, 13, -7, 15, 8],\n [15, -3, 1, 12, 6, 9, -7, -9],\n [7, 4, 7, -6, 5, 11, 10, -11],\n [1, -14, -7, -14, -6, 11, -4, -14],\n [-1, 9, -13, -14, -9, 12, -7, -5],\n [13, 6, 12, 0, -9, 13, -3, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3089", "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, -13, -1, -8, -9, -11, -10],\n [9, 3, 12, -13, 14, -5, -10],\n [11, 8, 5, -2, 1, -13, 13],\n [8, -12, -7, -3, -10, -6, 4],\n [4, 10, 5, -3, 7, -2, -4],\n [7, -3, -6, -9, -11, -4, 13],\n [9, -14, -8, 10, -8, 3, -11],\n [14, -8, -6, -3, -7, -9, 4]]\nB =\n[[4, 3, -5, -8, 6, 0, -6],\n [-10, -6, -6, 9, 11, 3, -12],\n [3, -13, 1, -2, -6, -10, 15],\n [15, 0, -7, 5, -4, -4, 12],\n [-2, 10, -14, -6, -12, 12, -10],\n [14, 7, 12, 13, -3, 7, -2],\n [-12, -6, -6, -11, 13, -12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8894", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[10, 6, 11, -2, -9, -14, -2],\n [-6, 12, 0, -13, 11, -8, 7],\n [12, 1, -12, 5, 14, 3, -1],\n [4, 10, -6, 14, -6, 7, 8],\n [-4, -7, -1, 13, 2, 4, -15],\n [-13, -8, -9, 15, -1, -8, -1],\n [11, 6, -11, -4, -4, 10, -7],\n [5, -7, -1, -1, 15, 13, 4]]\nB =\n[[-4, -11, -15, 6, 3, -5, 15, 10],\n [2, -10, 1, -2, -4, 9, -11, -9],\n [11, 10, 0, 9, -7, 13, 7, -1],\n [-12, 15, 4, 7, 8, -9, 11, -2],\n [14, 10, -12, -12, 8, 12, -2, 9],\n [-9, -1, -4, -2, -3, 14, 3, -4],\n [0, 10, 0, -15, -1, -11, -10, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "146", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[9, 5, 1, -5, 11, -12, 2],\n [4, -2, 7, -7, 12, -13, -13],\n [-5, 4, 7, 6, 14, -11, -12],\n [-4, 8, -4, -12, -13, 7, -14],\n [-12, 8, -12, 10, 12, -9, -14],\n [-5, -11, 12, -3, -12, -7, -9],\n [14, 9, 11, 13, -3, -6, -9]]\nB =\n[[2, 12, 2, -14, 5, -15, -3],\n [7, -14, -12, -7, -8, 10, 2],\n [14, 0, -12, -12, 2, -14, 5],\n [-5, 4, 15, 8, -12, 15, 15],\n [8, -2, 5, 1, 14, 14, 9],\n [-8, -15, 12, 3, 3, 15, 5],\n [-9, -15, -15, -6, -3, 6, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-11, -4, 12, 13, -13, 13, 3, -12],\n [-1, -3, -5, 10, -14, 13, -7, 13],\n [-4, -12, 10, 3, -6, -5, -9, -3],\n [-7, -4, 13, -14, 14, 6, 5, -15],\n [11, -9, -15, 10, 9, 0, -12, 14],\n [-8, 1, 5, 3, -12, 12, -12, -8],\n [-6, 10, 13, 0, 3, -15, -11, -14],\n [13, 11, 0, -3, 15, 14, -10, -12]]\nB =\n[[9, -9, -14, 7, -6, -2, -8],\n [-13, -13, 11, -14, 12, 15, 1],\n [3, -6, -4, 11, 7, -5, -7],\n [14, 9, -3, -10, -2, 15, 6],\n [-5, -11, 15, -14, -9, 1, -10],\n [-2, -12, -13, 15, -5, 13, -15],\n [-2, -10, 13, 7, 11, 1, 11],\n [1, 7, -5, 12, 6, -9, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2318", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 1) of the product of the following matrices:\nA =\n[[-3, -8, -8, -7, 13, 9, -9, 9],\n [6, -7, -5, -14, 11, 2, 14, 6],\n [-13, 2, 0, -8, 7, -8, -10, 9],\n [9, -14, 0, 10, 5, -7, 3, 5],\n [-1, 8, -14, -1, 6, -5, 4, -4],\n [15, -1, 0, 14, 12, -10, -13, -10],\n [7, 10, -13, 5, -3, -4, -8, 15]]\nB =\n[[-14, -9, 13, 1, -9, -15, -12, -1],\n [-12, -4, 0, 5, 2, -2, -2, 12],\n [-5, 12, 0, -1, 6, -10, 14, 8],\n [-3, 10, 12, 1, -12, -4, 2, 11],\n [-8, -4, -12, 14, -8, 13, -14, 13],\n [14, -12, -4, 9, 5, 6, -6, 15],\n [15, -1, 12, -7, -7, -9, 11, -14],\n [-9, -7, 2, 7, -4, -9, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-455", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 0, 10, -8, 14, 3, -10, -14],\n [14, -14, 13, -8, 11, -6, 5, 5],\n [-5, 4, 11, 10, 4, 8, -13, 11],\n [0, -13, -8, 3, -4, 2, -3, -5],\n [13, -3, 5, 11, -13, -10, 11, 7],\n [-13, 9, 10, -15, -2, 7, 4, -9],\n [9, -7, -15, -6, -3, -4, -12, -9]]\nB =\n[[-6, 6, 15, 9, 13, -9, -1, 3],\n [-9, 10, -2, 5, -2, 2, -6, -13],\n [-10, 13, 6, 7, 6, -7, -2, 5],\n [15, 5, 8, -8, -15, -13, 13, 6],\n [-10, -15, 2, -6, 7, 1, 10, 5],\n [-15, 6, 15, 7, -8, 13, -4, 3],\n [-2, 14, 3, 11, 1, 12, 0, 3],\n [-11, 6, 3, -12, -11, -11, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "933", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-15, 2, 12, -1, 5, 12, 3],\n [7, -2, 11, -10, 2, -8, -11],\n [6, -8, 13, -10, -6, -13, -3],\n [-9, 14, -12, -3, -10, 0, 6],\n [11, 5, 13, -15, 14, 8, -3],\n [14, 10, -14, 4, 13, 12, 3],\n [-10, -5, 1, -7, -11, -11, 0]]\nB =\n[[-12, 4, 13, 15, -3, 1, -7],\n [9, -3, 0, 4, -6, -6, 4],\n [12, 0, 7, 4, -15, -5, 15],\n [-3, 9, 2, -11, -12, 8, -10],\n [-1, 7, -14, -12, -2, -12, 12],\n [13, 2, 10, 4, 0, -7, -8],\n [-5, -2, 1, -3, -8, -2, -5]]\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 (6, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, -2, -1, 10, -15, 8, -4],\n [-11, 9, -2, 9, 6, 0, 3, 12],\n [0, -9, -13, 7, -8, 5, 5, -2],\n [4, -13, 12, 8, -5, 6, -2, 6],\n [-14, -12, 15, 5, 11, 10, -11, 3],\n [-6, 5, 5, -14, 5, -13, -1, 3],\n [5, 9, 14, -14, 9, -13, 13, -4]]\nB =\n[[7, 12, -2, 1, 0, 1, 8],\n [-7, -13, 6, 15, -2, -13, -10],\n [7, 5, 3, 8, -3, -11, -15],\n [-4, -1, 9, 3, -14, -13, -9],\n [12, -5, 12, -6, -8, -14, -2],\n [-3, -9, 11, 5, -7, -9, -15],\n [-15, -10, 9, -15, 0, -13, -3],\n [5, -12, 1, -6, -12, 4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 10, -3, -12, 0, 3, -9, -15],\n [0, -14, -15, -2, 4, -11, 11, -1],\n [-6, 5, -14, -5, 0, 3, -12, -6],\n [6, 6, -4, -14, -14, -7, -4, -14],\n [2, 0, 3, -1, 9, 14, 0, -10],\n [11, -1, 15, -4, 6, -4, -6, 5],\n [-1, 7, 11, 15, -12, 15, -6, 10],\n [3, 7, -2, -6, 1, 6, 13, 11]]\nB =\n[[11, -5, 2, -14, -5, -8, 3, 9],\n [0, -12, -2, 6, 1, -5, 15, 10],\n [10, -13, -12, 5, -3, 1, 14, 4],\n [5, 4, -6, 10, 7, 8, -4, -8],\n [-13, 13, 5, -6, 15, 8, -9, 14],\n [9, 13, -6, -9, 2, 4, 12, -2],\n [-4, -8, 9, -9, -11, -15, -1, -7],\n [-4, 6, 2, -5, -6, -6, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "558", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-15, 12, 4, 10, -5, 13, -14, 10],\n [-5, 9, -14, 11, -7, -15, 14, 7],\n [15, -10, 6, -14, -1, -15, 10, 8],\n [8, 2, -12, 13, -3, -12, -1, -14],\n [11, -7, -4, -2, 4, -12, -1, 15],\n [-12, -11, -6, -4, -4, -8, -12, -13],\n [11, -15, 2, 4, 9, 15, -2, 1]]\nB =\n[[-10, -10, -6, 3, -6, 9, 14, 10],\n [-13, -15, 2, 15, -1, 4, -12, 2],\n [-6, 6, 15, 6, 3, 1, -6, 9],\n [-12, 9, -11, -9, 3, 15, 3, -8],\n [-15, 8, -8, 3, 1, -7, 4, 7],\n [0, -7, 3, 0, 5, 10, 11, -3],\n [3, -11, 11, -14, -12, -4, 2, -13],\n [15, 5, 9, 3, 10, 6, -12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9777", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, -5, 13, 15, 15, 10, 10, -3],\n [5, 15, -5, -9, 11, -2, -12, -8],\n [-4, -3, 9, -7, -7, -14, -13, 5],\n [-4, 1, -12, 11, 14, -2, 5, -7],\n [-8, -15, 14, -3, 12, -13, 14, -2],\n [3, 11, -10, -12, 4, -15, 12, -6],\n [-3, -4, -5, -12, 1, -1, 5, 13],\n [-13, 13, -6, 5, -2, 3, 5, -12]]\nB =\n[[9, -2, -10, -4, 15, 14, 10, -14],\n [1, -15, 1, 9, -11, 0, -2, 4],\n [-6, 5, 9, -13, -13, 12, 2, 8],\n [7, 2, -12, -9, -15, 0, 1, -8],\n [-10, -14, 10, -6, 15, 1, 3, 12],\n [-12, -3, 5, 11, 10, 3, 15, 0],\n [15, -3, 14, -11, -4, -9, 11, -7],\n [-11, -12, -6, 0, -5, 13, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1082", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 9, -5, 14, -7, 1, 12, 6],\n [-5, 5, -10, 10, 0, 3, -2, -13],\n [-6, 5, 7, -12, 6, 5, -14, -3],\n [-5, -4, -15, 6, 5, -7, -4, -9],\n [1, 13, -6, -10, 11, -9, 3, -2],\n [9, 11, 14, 14, -5, -14, -15, 10],\n [-6, -4, -7, 7, 10, 13, -5, -15]]\nB =\n[[4, -6, 13, 3, 11, 7, 5],\n [9, -5, -13, 11, 0, 6, -6],\n [-14, 3, -12, 0, -10, -5, 1],\n [15, -1, 6, -12, 8, 9, -8],\n [8, 13, 13, 2, -2, 10, -14],\n [0, 6, -1, 5, -10, -7, -4],\n [-6, -9, -11, 10, 7, -8, 11],\n [-4, -15, -6, -5, 11, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9070", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-11, -3, 2, -6, 5, 9, 1],\n [3, -12, -7, 2, 0, -9, 9],\n [-4, 10, -12, 5, 12, -4, -4],\n [10, -12, -4, 7, -8, 8, 15],\n [14, 14, 15, -13, 0, -14, -10],\n [12, 1, -4, -7, 0, -9, -8],\n [-9, 5, -11, 7, -9, 2, 2]]\nB =\n[[0, -9, 5, -14, 15, 1, 9],\n [11, -8, -14, 2, 3, 4, -7],\n [-4, 6, 3, 14, 15, -8, 6],\n [-8, -6, 12, 2, -1, 8, -5],\n [5, 10, -2, -1, -2, -4, -12],\n [-13, -4, 9, 10, -9, -9, 6],\n [9, 3, -2, -15, -9, 9, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -6, 2, -3, -8, -7, 10, -1],\n [-8, 9, -15, -13, 3, 14, -7, 3],\n [-1, -2, 10, -15, -13, -14, 9, 14],\n [-15, 11, 2, -15, -7, -9, 14, -3],\n [1, -3, -3, -6, 12, -10, -11, -6],\n [-2, 15, -5, -11, -12, -13, -2, -3],\n [8, 7, -11, -4, 9, 12, 7, -6],\n [-14, 15, -9, -9, -12, -4, 12, 8]]\nB =\n[[-12, -9, 4, -3, -8, -2, 14],\n [-13, -14, -6, -10, 7, -9, 0],\n [-10, 0, 11, 8, -4, 6, -1],\n [6, -13, 12, 0, 2, -1, 7],\n [-10, 1, -14, -14, 1, 3, -11],\n [-12, 12, 2, -8, -7, 8, 7],\n [10, 2, 15, 15, 6, -5, 0],\n [0, -12, 5, -7, -3, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-426", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, 5, -7, 2, 15, 4],\n [-13, 7, 14, 2, 3, -7, 8],\n [2, 6, 0, -2, 3, 12, 13],\n [6, 14, -1, 5, 10, -12, -4],\n [-9, -5, 10, -9, 4, -13, -12],\n [-14, 4, -1, 4, -4, 5, 1],\n [2, -8, 8, -8, -11, 8, -7]]\nB =\n[[14, 4, 4, 7, -11, 11, -6],\n [-15, 8, -12, 8, 0, 2, 12],\n [-4, 4, -1, 2, -11, 10, 10],\n [-2, 8, 11, -9, -5, -1, 5],\n [-5, -9, 5, 7, 4, 4, 10],\n [-12, 11, 8, -15, 10, 5, 12],\n [10, -14, 10, -12, -11, 8, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-14, 2, 14, 8, 12, -2, -13, 5],\n [2, 6, -6, -10, -14, 15, 4, -5],\n [2, -2, 10, 4, -3, 13, 11, -9],\n [5, 10, 4, 15, -6, 10, 3, 13],\n [13, -3, 6, -14, 4, -4, -8, 2],\n [9, -14, 0, -8, 0, -8, 7, 14],\n [15, -3, 10, -10, -15, -14, -9, -3],\n [11, -12, -7, 3, 4, -13, 7, -14]]\nB =\n[[0, -6, 12, -4, 2, -14, -2, -4],\n [4, 8, 8, 8, -8, 7, 6, 12],\n [-9, -3, -1, -2, -11, -8, 2, -11],\n [7, -7, -6, 1, 11, 9, -13, -15],\n [-9, -1, 3, -8, -5, -14, 15, 4],\n [12, -14, -5, 4, 12, 1, 13, -6],\n [-11, -13, -7, 4, 6, 9, -14, 7],\n [3, 1, 9, 9, -4, 11, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11638", "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, -12, 12, 2, 0, 13, 5, 8],\n [-6, 10, 6, -4, 14, 12, -5, -11],\n [4, -5, 0, -1, -10, -3, 0, 11],\n [-13, 2, -15, 9, 1, 11, 4, -10],\n [-7, -12, -9, 7, 13, 14, 6, 9],\n [-5, 10, 7, -13, 0, -10, -9, -4],\n [-9, 13, 6, 3, 6, 0, 2, 15],\n [-6, 13, -15, -8, -13, 14, 0, 8]]\nB =\n[[-13, -14, -4, -8, 3, 15, 8],\n [2, 4, 9, -1, 1, 2, 15],\n [2, -7, 10, 15, -11, -5, 13],\n [-12, 10, -6, 15, -12, 7, -13],\n [9, 0, 5, -5, -7, -15, -6],\n [-4, 14, 8, -14, -1, 14, 8],\n [4, 0, -14, -3, 2, 13, 6],\n [3, -5, -2, 14, 10, -13, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10444", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[-11, -2, -9, -4, 5, 2, -5],\n [11, 8, -7, -5, 2, -14, 4],\n [-3, -1, -8, -11, -11, -9, -4],\n [4, -4, -7, -12, -8, 3, 6],\n [-15, 7, -5, 7, -3, 2, 5],\n [4, -6, -3, 9, -4, -3, -14],\n [-13, 13, 1, 10, 5, 3, -4],\n [0, 4, 15, 4, 6, -6, 7]]\nB =\n[[7, -1, 14, 15, 11, -8, 3],\n [-11, -4, -6, 6, -2, 12, 6],\n [-4, 8, -3, 5, 5, 1, -15],\n [6, -6, 10, -11, -5, -6, -10],\n [-1, -7, -8, 7, 7, -10, -10],\n [1, -4, -9, -11, 0, 7, -10],\n [-8, -13, -8, 13, -9, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-201", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 5) when matrix A is multiplied by matrix B?\nA =\n[[10, 4, -2, 9, 12, -10, 15],\n [-9, 14, -11, 3, 5, 12, -9],\n [-7, -4, 9, -1, -1, 12, 8],\n [5, 0, 7, 4, 10, -1, -11],\n [-4, -12, -13, 15, 13, 11, 13],\n [-15, -3, -11, -4, -14, -10, -11],\n [11, 2, 8, -11, 2, 0, 1],\n [-14, 1, -6, 10, -13, -2, 3]]\nB =\n[[-4, 10, -15, -9, 10, -9, -3, -7],\n [-11, -12, -11, 8, 8, 12, 4, -4],\n [-8, -3, -12, 4, -5, -1, 8, -2],\n [2, 4, -15, -15, -5, 13, 13, 13],\n [8, 4, 14, 15, -10, -11, -3, -6],\n [-10, -12, -12, -9, 0, -15, -7, 10],\n [3, 4, -1, -7, 5, 12, 4, 12]]\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 all entries of the result:\nA =\n[[6, -15, 10, -15, 0, -11, 5],\n [11, -7, -15, 3, 0, -13, -12],\n [-4, 13, -9, -1, 7, -1, 10],\n [-11, 14, 9, 7, -14, -4, 3],\n [11, 7, -11, 7, 9, 9, -13],\n [8, 13, -10, -3, 4, -1, -12],\n [4, -9, 6, 2, 5, 5, 6],\n [-9, -4, -5, 8, -4, 10, 14]]\nB =\n[[-1, -8, -5, 5, 2, -6, -8],\n [-10, -13, 4, -4, 1, -13, 4],\n [2, 14, -4, 6, 8, 0, 12],\n [6, -6, 3, -7, -2, 4, -2],\n [6, -12, -1, 4, 11, -14, 10],\n [2, -14, 2, -8, 15, -6, 4],\n [-12, -6, -6, 11, 14, -13, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1639", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-12, 7, -6, -9, 6, 7, -4, -9],\n [-3, -8, 11, -3, -15, 15, 0, 3],\n [12, 3, 5, 10, 14, -3, 13, -9],\n [-1, 10, -10, -12, 6, 7, 4, -5],\n [8, 5, 3, -14, 1, -1, 4, 2],\n [-4, -13, 1, 15, -2, 13, -10, -12],\n [5, 15, -8, 11, 4, 6, -13, -8],\n [-3, 3, 15, -1, 7, -9, 15, -13]]\nB =\n[[3, 10, -6, 12, 11, 0, -2],\n [-8, -5, 15, 3, -14, -11, -5],\n [-9, -8, 1, -4, 2, 13, -9],\n [-7, 3, -2, 8, 14, 10, 3],\n [4, 2, 9, 14, -1, 5, 5],\n [-12, -3, -11, 15, -4, 14, 1],\n [-6, 14, 10, -4, -10, 11, 4],\n [12, 4, -4, -3, 5, 14, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1245", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, -6, 3, -11, 10, -11, -8, 14],\n [1, -13, 5, 0, 11, 3, -10, -6],\n [0, -3, -13, 6, -8, 4, -8, -9],\n [11, -5, 13, 15, 4, -13, 5, 5],\n [14, -9, -5, 1, 9, 2, 9, -7],\n [-3, 13, 14, -1, 3, -1, -9, -13],\n [8, -8, -3, 0, -13, 5, 15, 7],\n [-15, -13, 0, -15, 2, -2, 14, -9]]\nB =\n[[7, -13, 15, 13, 6, 0, 13, -10],\n [2, 13, 9, -3, 8, -14, -4, -12],\n [-7, 4, 7, -11, -6, -10, -15, 4],\n [-11, -10, 6, 5, 3, -5, -1, -14],\n [-1, -9, 1, -4, -4, -11, 4, -9],\n [-14, 11, -3, 8, -7, 13, -1, 12],\n [10, -1, -15, 5, 4, 5, 9, 15],\n [12, -13, 14, -15, 11, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13996", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -3, 2, 1, -15, -1, 8],\n [-12, 12, -14, 10, 3, -8, 6],\n [0, -8, -6, 0, -11, 3, -10],\n [-6, 8, 14, -11, 5, 3, 3],\n [-3, 12, -1, -8, -5, 15, -15],\n [-12, 9, 6, 6, 14, 10, 11],\n [11, -3, -9, 11, -9, -10, 9]]\nB =\n[[-8, -4, 8, 2, 7, -1, 12, 0],\n [-15, -6, -1, 8, -3, 3, 11, -3],\n [-7, 15, 5, 0, 7, -2, 7, -7],\n [2, -12, -4, 8, -11, -5, -11, 3],\n [5, 13, -9, -12, -8, 14, 11, -10],\n [-10, 6, -12, -2, 15, -13, -6, 6],\n [-10, 2, 14, -6, -7, 0, 4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1388", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 13, 12, -5, 12, -4, 8, 3],\n [-6, -9, -9, 2, -13, 15, -4, -2],\n [4, -14, 14, -7, -6, 11, -10, 1],\n [-1, -15, 8, 11, 6, -3, -6, -4],\n [7, 6, 0, -14, -13, -8, 4, 13],\n [-1, 8, 3, 2, 7, -15, 11, 3],\n [-14, -11, 2, 0, -6, 5, 13, -13],\n [9, -6, 9, 8, -3, 5, -6, -5]]\nB =\n[[-9, -14, 3, 12, 11, 2, 10],\n [-5, 1, -13, 4, -4, 9, 12],\n [-14, 9, -15, -7, 6, 8, 3],\n [-8, 11, -7, -9, -12, 6, 0],\n [-10, 2, -14, -5, -11, 1, -11],\n [10, 15, -13, 3, -8, -5, -13],\n [-13, -15, 14, 8, -3, 15, 14],\n [-6, 10, -10, -5, -8, 3, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "585", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 7) of the product of the following matrices:\nA =\n[[-5, -10, 15, -4, 2, -13, -3, -12],\n [-7, 15, 0, -4, 4, -9, -4, -8],\n [5, -1, -14, 15, -5, 8, 5, -11],\n [7, -10, 3, 14, -2, -9, -4, 14],\n [1, -12, 4, 6, 6, -6, 8, 12],\n [-15, 13, 7, 14, -12, -3, -10, 10],\n [-1, -2, 9, -13, 8, 3, -10, -14]]\nB =\n[[-7, 14, -3, 2, -4, 5, 6],\n [-12, 12, 7, 13, -9, -4, 7],\n [-5, -9, 13, 10, 11, -6, -7],\n [-14, -11, -6, 9, 12, 13, -2],\n [11, 0, 11, -14, 3, 7, -7],\n [-2, -1, 3, 15, 10, -8, 11],\n [-1, -8, 12, -12, 11, 13, -10],\n [-5, -4, 8, 12, -7, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[5, 10, -13, 11, -3, -10, 12],\n [-2, 11, -15, 12, 11, -12, 6],\n [2, -5, -5, -8, -12, -14, -15],\n [8, -6, 1, -9, -9, -3, 6],\n [8, 10, -15, 12, -15, -3, -15],\n [-10, 7, 10, 9, -6, 5, -15],\n [9, -11, 6, 9, -14, 14, -13],\n [14, 7, -13, 15, 2, 7, -8]]\nB =\n[[-7, -14, 13, -14, 11, 0, -9],\n [14, 15, -12, -11, -15, 15, 6],\n [-6, -3, 8, 11, -1, -15, 2],\n [7, -2, 2, 9, 6, -4, -4],\n [-11, -9, 10, 8, -3, -7, -10],\n [5, -9, 2, -1, -8, 12, 4],\n [0, 1, -13, -3, -7, 4, -1]]\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 (5, 8) of the result:\nA =\n[[10, 10, 14, 11, 0, 0, 3, -12],\n [3, 3, -14, -10, -3, -1, -6, 6],\n [-6, -12, -2, -8, -10, -4, -8, -10],\n [-1, 13, 9, 3, -2, -13, 2, -6],\n [-2, -2, 6, -9, -9, 5, 6, 7],\n [-5, 2, -6, -1, 14, -4, 7, 1],\n [6, 8, 13, 1, -15, -10, 5, -1],\n [3, -2, -6, 13, -6, 7, -9, -9]]\nB =\n[[-2, -1, 6, 4, -7, 12, -1, -7],\n [7, -9, 8, -5, -11, 11, -7, -10],\n [-9, 12, 7, 9, 7, -2, 3, 6],\n [6, -5, 12, -9, -10, -12, -2, 6],\n [-13, 1, -1, -15, 5, -5, -3, 14],\n [8, -13, -3, 2, 8, -7, 9, -14],\n [12, -8, -14, 7, 8, -15, 8, 15],\n [-13, 13, 1, -9, -6, 3, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -1, 1, 8, 10, 6, 10],\n [1, 3, -7, 9, -10, 3, -8],\n [-10, 1, -10, -3, 5, 8, 13],\n [-14, -4, -9, -10, 1, 12, -8],\n [-10, 13, 15, 3, 5, 7, -7],\n [4, 12, 14, 0, 2, 3, -9],\n [-8, 5, 15, 15, 3, -15, 10],\n [-3, -15, -5, -14, 5, -13, -3]]\nB =\n[[-9, -14, -14, -13, -3, -4, -15],\n [2, -11, 3, 15, 11, -6, -10],\n [2, -1, -2, 8, 0, -12, 3],\n [5, 14, -8, 9, -15, 4, 6],\n [6, -3, -7, -15, -1, 13, -1],\n [-2, -11, 10, 1, -10, -7, 15],\n [4, 10, 10, 9, 3, 11, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8620", "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, 10, 1, -9, -8, -1, -10, -15],\n [-7, -9, 14, 6, 4, 3, -12, -15],\n [-7, -14, 0, -14, -13, -2, -3, 1],\n [-6, -13, -12, 9, -11, -5, -10, 13],\n [-15, 3, 14, -9, 7, -6, 13, -4],\n [-4, 15, 13, -15, -7, 1, 7, -4],\n [12, -14, -7, -4, 12, 9, 9, -12]]\nB =\n[[6, 13, -4, 2, -13, 6, -15, 7],\n [2, 8, 5, 7, -8, 3, 6, 12],\n [9, -12, 10, 7, 0, 15, 1, 12],\n [7, -7, 10, -8, 4, 3, -9, 13],\n [-4, -15, 8, 14, 12, 1, 7, -10],\n [10, 8, 6, -11, 9, 4, -9, 6],\n [10, 6, 11, -4, -11, -14, -12, 1],\n [9, 9, -8, 4, -11, 1, 4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9605", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[15, 5, 2, 2, 12, 2, 0],\n [-5, -8, 13, -4, 2, 6, 2],\n [13, -8, 0, 14, 1, -14, 14],\n [5, 6, -1, 9, 6, 8, 15],\n [12, -9, -15, -14, -12, 0, -4],\n [1, 8, -12, 0, -9, 7, -8],\n [9, -7, -2, 7, -7, -1, 5]]\nB =\n[[10, -12, -13, 6, -6, 11, 9],\n [-12, 14, 2, -5, 3, 3, 2],\n [-3, 9, -12, -13, 0, -2, -6],\n [-10, -8, 11, 8, 0, -6, 6],\n [5, 11, -9, 3, 12, 10, 2],\n [-3, -8, 11, 12, -2, -7, -4],\n [-10, 4, 6, 12, 7, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "149", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, -4, 6, 14, 10, 6, 10, -9],\n [-1, 0, 14, -12, -10, 0, -1, -14],\n [15, 8, -13, -1, 15, 9, -8, -4],\n [6, 10, -14, -1, -8, 11, 15, 6],\n [-5, 1, 6, 13, 5, 6, 13, -15],\n [4, 7, 13, -1, 5, 6, -14, 8],\n [-6, 4, -10, -13, 9, -3, 8, 14]]\nB =\n[[15, -1, -10, -7, -6, -7, 2],\n [-7, 8, 15, 2, -7, -11, -3],\n [-4, -7, 3, 4, -15, -5, -11],\n [15, -9, -3, 7, -10, -3, -10],\n [-1, -8, -5, -6, -7, -12, -2],\n [-12, 8, -1, 5, -6, -2, 9],\n [-10, 0, 9, -4, 12, -12, -15],\n [14, -12, 9, -3, -9, -1, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2032", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 14, -2, 2, -12, -15, 13],\n [-13, -3, 2, 13, -12, -12, -5],\n [-2, 9, -9, 13, -13, -9, -8],\n [-4, -9, 8, 0, 14, 9, 1],\n [10, 6, -12, 1, 2, 10, -12],\n [1, -1, 6, 1, -3, 9, 10],\n [-13, -4, 11, 1, 6, 6, -9],\n [-9, 10, -5, 0, -12, 0, -11]]\nB =\n[[3, 6, 13, -2, 15, -9, -7, 9],\n [12, -3, 0, 5, -12, -9, 14, -13],\n [4, -1, 9, 5, 10, -2, -9, 2],\n [9, -11, 5, 4, -8, 11, 4, 2],\n [5, 3, 4, -13, 7, 14, -10, 2],\n [11, -1, -2, 8, 5, 6, -8, -5],\n [-5, -4, 0, -9, 15, 11, -13, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-763", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, 15, -8, 4, -8, 15, -12, 15],\n [7, -3, 6, 10, 1, 13, 11, 8],\n [6, 2, -11, -4, -14, -6, -9, -1],\n [11, 10, 6, -9, -1, 0, 6, 10],\n [-15, -1, -13, 15, -6, 0, -14, 1],\n [-15, -12, -5, 1, -14, -15, 13, 12],\n [12, -10, -5, -12, 8, -5, -11, 14],\n [-6, -11, 11, 11, 8, 11, 10, 6]]\nB =\n[[6, -13, 13, -10, 10, -3, 0],\n [-9, 2, -13, -10, -6, 0, 9],\n [-3, 9, 8, 8, -7, 11, 15],\n [0, -5, -7, -6, -5, 13, 9],\n [5, 15, 6, -1, 5, -3, 1],\n [-12, 15, 14, -5, 13, -15, 12],\n [-15, -13, 7, -1, -15, 7, 10],\n [14, 10, 15, 13, 0, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2104", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, 13, 15, -10, -1, 12, -7],\n [11, -13, 3, 5, -3, -3, 7],\n [-13, 4, -2, -14, 9, -6, -7],\n [-3, -5, -14, 0, -11, -15, -8],\n [6, 0, -2, 10, 10, -14, 2],\n [10, 5, -9, 9, 9, -4, 15],\n [-1, 11, 6, -14, 6, 1, 11],\n [-5, 13, -14, 12, 3, -11, 10]]\nB =\n[[1, 0, 12, 10, -3, 14, -3],\n [-3, -11, -11, 4, 3, -9, -5],\n [7, -15, -9, -13, -3, -13, 15],\n [-10, 15, 6, 11, 13, -1, -12],\n [-11, -13, 3, 9, 5, 0, 1],\n [-7, 10, 6, -7, -2, 11, 7],\n [-5, 10, -6, 7, -11, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11459", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-12, -5, 11, -10, -14, 14, 10, -13],\n [2, 13, 10, 2, -9, 5, -3, -3],\n [-10, -13, 15, -6, 5, -11, -5, -12],\n [-6, -12, 12, -3, -8, -10, -5, -14],\n [2, 2, 6, -4, 1, 3, 1, -12],\n [13, 1, 0, -7, -5, -4, -5, -3],\n [6, 14, -8, -2, 2, -2, 0, -1],\n [6, 4, -9, -8, 14, -10, 13, -3]]\nB =\n[[1, 15, -8, -5, 1, -7, -14, 11],\n [-6, 6, 8, 5, -2, -14, -11, 1],\n [8, -8, 14, 2, 6, 11, 8, 10],\n [13, -8, -4, -2, 15, 14, 7, -13],\n [13, 14, 15, 12, -2, 11, -12, -15],\n [-7, -2, 10, -6, 2, -6, -9, -8],\n [-2, -12, 11, -5, 15, -6, 1, -11],\n [-6, -6, 6, -9, 1, 13, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11300", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-11, -11, 7, -12, 10, -9, 8],\n [-14, 14, -15, 13, 10, -6, -15],\n [-3, 1, -7, -12, -7, -9, 15],\n [7, 13, -14, 2, 12, 5, -1],\n [-6, 1, -9, 15, -5, -9, -5],\n [8, 7, 8, -1, 15, 3, 3],\n [8, 9, -6, 0, 4, -8, -15]]\nB =\n[[-14, 13, -6, -6, -6, -7, 2, 15],\n [-14, 8, -11, 5, -5, -10, -8, -8],\n [9, -6, -5, 3, 9, -2, -5, -13],\n [-15, 12, 11, 5, 7, -13, -7, -15],\n [6, 15, -4, -4, -10, 14, 13, -8],\n [15, 13, -13, 12, 5, -5, 10, -5],\n [15, -11, 8, -9, 3, 15, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1336", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 5, 11, 5, 14, -2, 11],\n [-15, -3, 8, 13, -10, -10, 15],\n [5, -11, 14, -13, -4, -1, -13],\n [0, 2, -7, -8, -5, -13, -11],\n [15, -6, 15, -11, -8, -10, 7],\n [5, 0, -4, 1, -8, -12, 5],\n [1, -13, 15, 2, 0, 12, -14]]\nB =\n[[-3, -15, 6, 15, 15, 8, -13],\n [-15, 14, 10, -14, 3, 6, 14],\n [-13, 9, 12, -15, 7, 10, 8],\n [-7, -8, -11, -15, -1, 1, 14],\n [-1, -8, 7, 5, 10, -13, -7],\n [4, -2, -10, 11, 4, 9, -12],\n [14, 8, 11, -4, 12, -13, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "333", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[15, 11, -13, 14, 11, 5, 1, -10],\n [-1, -5, 2, 12, -13, 11, 1, -5],\n [-10, -11, -6, -14, -1, -5, 8, 9],\n [-2, -2, -13, 12, 6, 6, 0, -2],\n [-6, 6, -8, -4, -11, 10, 10, -3],\n [8, -4, -13, 7, 1, 4, -11, 7],\n [14, -10, -3, -10, -3, -1, -14, -5],\n [0, 2, -14, -6, -3, 12, -8, -9]]\nB =\n[[0, 1, -7, 11, 11, -8, 13],\n [9, 4, -11, 11, -11, 11, 9],\n [15, 8, -3, 0, 10, 6, 15],\n [11, 10, -5, -1, 10, 1, -1],\n [7, 9, -4, -12, -12, 5, 0],\n [-1, -8, 11, 5, 4, -8, -5],\n [5, 8, 1, -13, -9, -4, -15],\n [-5, -11, -10, -2, 12, 13, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2707", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 9, 9, -13, -12, 15, 14],\n [-15, 13, -12, -2, 5, -9, 5],\n [8, -9, -15, 12, -14, 7, -13],\n [2, -5, -4, -2, -7, 12, -6],\n [-3, 8, 8, -13, 11, 10, -7],\n [8, 12, -14, 7, -8, 12, -9],\n [-7, -3, -9, 12, -9, -15, -14],\n [14, 5, 13, 13, 11, 14, 1]]\nB =\n[[12, -6, -1, 0, 7, 5, -3],\n [5, -8, -7, 10, -15, 10, -12],\n [15, 11, 2, 14, 9, 9, -15],\n [-13, -6, 8, -14, 2, -14, -3],\n [5, 14, -7, 7, 13, 7, 15],\n [-14, -14, -11, 12, -2, 7, 7],\n [9, -13, -2, -15, -7, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3103", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 14, -1, 14, 5, -8, -9, -7],\n [-14, 9, -6, -11, 0, 5, -15, -10],\n [-6, -6, 10, 10, 3, -3, 10, 3],\n [-13, -3, -12, 9, 13, -8, -4, 6],\n [8, 8, 1, 9, -15, 11, -14, -7],\n [7, 10, -15, 3, 14, 1, -11, -1],\n [4, 8, 9, 15, -4, -12, -1, -13],\n [-2, -12, 3, -10, 1, 2, -8, 3]]\nB =\n[[4, -4, 1, 15, 3, -15, -5, -6],\n [0, -11, 1, 12, -7, 7, 11, -8],\n [9, -6, -8, -13, 7, 7, 14, 7],\n [-4, 8, -12, 11, 6, 2, 7, -7],\n [5, -12, -14, -9, 2, -14, 9, -14],\n [-6, -13, 3, -14, 10, -13, -7, -5],\n [15, -5, 11, -13, -11, -4, -1, 7],\n [1, 0, 14, 1, -1, 10, -3, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10751", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, -15, 14, 14, -6, -12, -6, -4],\n [12, -13, -15, 3, -15, 3, -12, 11],\n [-3, 11, -2, -2, 8, -13, 3, 13],\n [9, -5, -7, -10, 10, -12, 10, -11],\n [13, -7, -15, 7, -1, -5, 7, 10],\n [-15, 14, 1, -1, -2, -7, 7, -12],\n [-7, 12, -11, -13, 2, -7, -12, -9],\n [-15, 0, 9, 12, 9, 10, -10, -10]]\nB =\n[[-2, 15, 6, -11, -5, -15, 4, -6],\n [-15, 5, 13, -12, -8, -15, -8, -2],\n [8, 1, -7, 13, 9, -10, -15, 7],\n [7, -7, -15, -2, 15, 8, 14, 12],\n [13, -5, -8, 7, -4, -10, 1, -5],\n [-6, 11, -8, -4, 5, -12, 5, 5],\n [14, -3, 10, -13, 4, -12, -8, -11],\n [6, 10, -14, 9, -8, 8, 10, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "651", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 5, -1, 3, -3, -5, 0],\n [2, 9, -1, -10, -8, -12, 5],\n [10, 0, 5, -5, 10, 4, 11],\n [-14, 14, 6, -12, -2, -5, -12],\n [10, -13, 8, 6, 9, -11, -10],\n [-7, -12, 10, -9, -3, -6, -4],\n [-6, -5, -5, 6, -10, -10, 14],\n [4, 10, -10, -4, 7, 13, -2]]\nB =\n[[2, 11, 9, 7, 3, -6, -6],\n [-9, 10, -6, -2, -11, 9, 6],\n [-5, 13, -9, 4, 2, 15, -5],\n [4, 9, -13, -9, 13, 14, -12],\n [3, 14, 14, 14, 5, 2, -5],\n [-2, -6, -2, -12, 7, -4, -4],\n [-14, 10, -10, -11, 3, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "686", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -9, 3, -8, -1, 7, -12],\n [-3, 15, 13, -11, 10, -5, 0],\n [4, 2, 12, -1, 9, -15, -8],\n [-12, -7, 3, -9, -1, -13, 15],\n [10, -4, 7, -14, 3, 8, -9],\n [-5, 3, -8, -3, -7, -14, 2],\n [-1, 7, -5, 8, -1, 5, 2]]\nB =\n[[-2, 10, 5, 3, -3, 9, 0],\n [-14, 9, -14, 1, 10, 6, 11],\n [6, 4, 13, 2, 13, -6, -4],\n [11, -13, 13, -10, 4, -11, 11],\n [9, 5, 10, 15, 11, -8, 2],\n [0, 12, -2, -10, -5, 11, -10],\n [-11, -1, -10, 14, 5, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "933", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -15, -13, 14, 7, 4, 8, -13],\n [-9, -2, 2, 14, 8, -1, -3, 3],\n [13, 6, -14, -9, -3, -12, -10, 2],\n [3, -1, -13, 4, 1, 0, -3, 6],\n [11, 6, 4, -8, 5, 10, -2, -12],\n [-9, -6, -1, 10, 0, -8, -14, 13],\n [1, -10, 0, -14, 11, 8, 13, 5]]\nB =\n[[2, -5, -4, -11, -14, 6, 8, 2],\n [6, -10, -15, -7, -1, 12, -8, 12],\n [-2, -12, -9, 4, -8, -6, 2, 2],\n [3, 14, -12, 11, -3, -10, 15, 5],\n [10, -3, 10, 7, 6, 14, 15, 15],\n [0, 4, 11, -6, -7, -9, 1, 8],\n [4, -9, 11, -14, 12, 3, -15, -14],\n [11, -11, 2, 13, -10, -10, 6, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3712", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[11, 0, 0, 14, 15, -13, 11],\n [-13, 10, 7, 13, 13, -12, -10],\n [12, 8, -13, 9, -7, 15, -13],\n [-10, 5, 4, 8, 10, -7, -1],\n [12, -7, -11, 5, 11, 0, -13],\n [-7, 1, 12, -13, -9, -9, 5],\n [-10, 4, -8, -12, 10, -1, -10]]\nB =\n[[0, -11, -4, -2, 10, -10, -13],\n [13, 3, -6, -9, -3, -15, -15],\n [1, 6, -12, -2, -10, 14, -2],\n [-1, -15, 4, 0, -12, -14, -15],\n [-3, 0, -8, 6, -12, -14, 12],\n [-3, -11, 9, 7, 4, 15, 5],\n [8, 11, -3, -11, 0, 12, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3485", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 6) of the product of the following matrices:\nA =\n[[0, 13, 10, 6, 8, -3, -5, 5],\n [-15, -12, -13, 2, 7, 0, -3, -3],\n [-9, 15, 8, -1, 10, -1, -11, 15],\n [1, 6, 6, -5, 8, -3, -6, -1],\n [-14, -5, 9, -5, 13, 6, -15, 9],\n [-8, 10, 1, -8, -3, 7, -11, 15],\n [13, -10, 4, 9, 9, 13, 15, 10],\n [-2, 1, 0, 12, -7, 3, 12, -14]]\nB =\n[[-12, 4, -7, -12, -11, -10, 4],\n [-15, -3, 2, -13, 4, -11, -3],\n [-6, 10, -13, -5, -15, 11, 11],\n [-1, 8, 8, 13, -12, -1, -9],\n [-1, -12, 14, -13, 7, -2, -10],\n [-15, -7, -4, 2, 13, -13, 5],\n [15, 3, -13, 8, -2, -12, -3],\n [-3, 10, -14, 5, -14, -6, -5]]\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[[12, 8, -1, -13, -2, 2, 3],\n [3, -15, 3, -13, 4, 13, -8],\n [9, 1, -15, -10, 1, 12, 5],\n [14, 12, -15, -3, 8, -4, -11],\n [6, 4, 15, -3, -8, -4, 9],\n [-7, 1, -2, -9, -12, 13, 13],\n [10, 11, 8, 15, -9, 1, 1]]\nB =\n[[-15, -14, 10, 2, -7, -11, -15, -9],\n [10, -14, -13, -12, -13, 3, 9, -4],\n [-1, -12, 8, -15, 0, 13, -10, 15],\n [1, -11, 7, -3, -4, -15, 9, -4],\n [11, 9, 6, 15, 14, -14, 2, -7],\n [0, 13, 14, 14, 4, -1, 6, 13],\n [-6, -14, 15, -12, 2, 15, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, -8, -11, -11, -8, -5, 15],\n [8, 13, 7, 5, -9, -3, 1],\n [3, 15, -13, -14, -10, 3, -1],\n [-12, 3, -9, 4, 5, -2, -9],\n [4, -2, 6, 9, 15, 6, -11],\n [15, -1, -4, 14, 13, 1, 8],\n [5, -11, 3, -6, -4, -14, 1],\n [9, -11, 10, 12, -1, 4, 7]]\nB =\n[[-3, 4, -5, 15, 2, -7, 0, 8],\n [12, -1, -12, 8, -4, -3, -7, -1],\n [2, 4, 11, 6, -9, 5, 10, -4],\n [-6, 13, -9, -2, 11, -1, -12, -8],\n [3, 13, 3, -11, 6, -13, -6, -1],\n [-14, 5, -6, 6, 0, -13, -9, 3],\n [-1, -4, 13, -14, 14, -3, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "462", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -9, 8, -13, -10, -15, 5],\n [-14, -15, 13, 7, 10, -12, -11],\n [-14, 0, -8, -1, -5, 13, -6],\n [14, -13, 7, -5, 1, -6, 1],\n [-2, 7, -15, 12, 9, -7, 8],\n [8, -1, -12, 4, 5, 9, -13],\n [4, 10, 5, -9, 5, 9, 6],\n [-13, 6, 6, -1, 12, -6, 0]]\nB =\n[[1, 7, 3, -15, -15, 5, -2],\n [10, 10, -14, -14, 12, 4, -6],\n [-1, 11, 12, 12, 15, -1, -9],\n [-8, -5, 0, 10, 7, 9, -9],\n [4, -7, 9, 3, 10, 14, 8],\n [-15, 2, -8, 13, -8, 6, -8],\n [14, -2, 8, -14, -13, -9, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10511", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[13, 15, -1, -5, -14, 6, 2, -2],\n [2, 15, 11, -14, -12, -2, -9, -1],\n [-10, -11, 4, 2, -5, -8, 13, -4],\n [2, 15, -1, 11, -8, 10, 14, -12],\n [12, 5, -1, -5, -15, -14, 11, -8],\n [0, -15, -13, 2, 10, 0, 5, 12],\n [4, 4, -3, 4, 11, -12, -12, 6]]\nB =\n[[-14, -3, -3, 15, 4, 14, -9],\n [-9, 1, -6, -4, 9, 7, 11],\n [6, 14, 0, -14, 6, 5, -7],\n [-4, 1, 0, -11, 3, 9, 12],\n [1, 6, -13, 1, 11, -1, 3],\n [-1, 2, 10, -4, 12, -4, 8],\n [-13, -5, 7, -6, 6, -1, 7],\n [-5, 7, 10, -15, 4, -12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[14, 10, 5, -8, 4, -3, 1],\n [-1, 5, -15, 12, -13, 15, 8],\n [10, 15, 5, 7, 14, 1, 6],\n [12, 14, 8, 6, -12, 11, -8],\n [-1, -8, 14, -2, -10, 8, 12],\n [6, -1, 4, 11, 12, 6, 15],\n [-7, 8, 15, 14, 7, -11, -3]]\nB =\n[[-9, 1, -8, -11, 7, -9, -8, -9],\n [6, -4, -10, 5, 5, -12, 7, 13],\n [12, 11, 14, -13, -11, 15, 3, -8],\n [15, -11, 15, 11, -3, -6, -10, -15],\n [14, -5, 4, -7, 15, 0, -1, -11],\n [-1, -15, -1, -12, 12, 0, 6, -9],\n [7, -8, 5, 6, 11, 11, -14, 14]]\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 sum of all entries of the result:\nA =\n[[-4, 10, 12, -14, -2, 3, 4],\n [-10, 6, 3, 1, -13, 4, 9],\n [-6, 8, -3, 4, 7, 13, 13],\n [9, 2, 3, 1, -8, 2, -9],\n [7, -5, -13, -14, 3, 12, 8],\n [12, 9, -5, -8, -5, -14, -4],\n [13, -7, -10, -4, 2, 9, -11],\n [15, 6, 1, 0, -4, 13, 14]]\nB =\n[[-14, 0, -15, 4, -14, -3, 0],\n [-15, 3, -12, 4, -13, -14, -4],\n [8, 10, -3, 11, 2, -11, 7],\n [9, -4, 3, -15, 15, -7, -15],\n [8, 2, 7, 12, -13, -10, 6],\n [-12, 8, -4, -4, -11, 7, 13],\n [5, -3, -4, -12, -10, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3913", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -5, 11, 6, -2, 14, 11, -13],\n [13, -8, -12, 11, 0, 2, -9, -5],\n [-8, 11, 4, -10, 8, 0, -11, 9],\n [-10, -10, 12, 13, -14, 15, -9, -7],\n [-1, 5, -2, 5, 12, -3, 11, -11],\n [1, -11, 10, 8, 15, -13, -7, -7],\n [6, -12, 15, 4, -5, 1, -2, -6]]\nB =\n[[-11, 5, 5, 12, 1, 0, -15],\n [-6, -4, 2, -15, 13, 15, 8],\n [12, -4, 4, -10, -8, -2, -11],\n [6, -12, 6, 0, -10, -13, -12],\n [6, -8, 13, 14, -2, -9, -12],\n [14, 3, -5, -1, 8, 0, -10],\n [-4, -8, 9, 9, -6, -5, -7],\n [10, 1, 12, -2, -13, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2216", "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, 12, 2, 1, 14, -11, 14, 4],\n [5, 11, 5, 8, -10, -13, 0, -1],\n [9, -8, -7, -12, -3, 8, 11, -13],\n [5, 14, -9, 0, 1, 14, 1, 3],\n [4, 15, 1, 8, -14, 11, -11, 0],\n [13, 14, 6, -5, 6, -10, -5, -15],\n [3, -13, -8, 6, 2, -3, 14, -15]]\nB =\n[[4, 1, -11, -4, -5, 8, 10],\n [2, -8, 13, 8, 6, 8, -3],\n [-14, 7, 0, -4, -8, -12, -2],\n [-7, -5, 0, -10, -4, 3, 0],\n [-3, -12, -4, -12, 1, -2, 13],\n [10, 1, -15, 4, -15, 14, 6],\n [14, -14, 1, 7, 6, -15, -4],\n [-3, -2, -6, -4, 9, 6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7657", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-9, 3, 14, -1, -9, -2, -7, -11],\n [-15, 0, -11, 8, -8, 3, 4, -4],\n [-8, -8, 7, -10, 4, 10, 13, -7],\n [-14, 2, -15, -5, -1, -4, -13, 3],\n [4, 3, -6, 0, -10, -7, -8, 6],\n [0, -8, 8, 10, 6, 2, -11, 4],\n [-4, -10, -14, -12, 0, 13, 8, -2],\n [1, 3, 15, -12, 2, -4, -14, -10]]\nB =\n[[-10, -13, -8, -4, -13, -14, 5],\n [13, 7, -15, 2, 2, -8, 10],\n [6, -2, 13, -3, -1, -1, -3],\n [-12, -12, -11, -13, -4, 14, 4],\n [-4, 4, -9, -9, -15, -4, -13],\n [-1, -7, 6, 6, 4, 10, -7],\n [15, -2, 12, -13, -8, 13, -10],\n [-4, -14, -13, -2, 1, -13, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5052", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-1, 14, 6, 10, 14, -9, 3, -2],\n [0, 11, -3, 7, 13, 4, 1, 1],\n [8, -6, -9, 4, 1, 6, 11, -4],\n [-5, -6, 7, 6, 12, 6, -8, 14],\n [-1, 6, 2, 7, -3, 10, 0, 14],\n [-3, -12, -5, 11, 3, -8, -6, -4],\n [12, 5, 4, -5, 4, 5, 12, -12]]\nB =\n[[3, 4, -6, -1, -3, -3, 5, 12],\n [2, -9, 14, -2, -11, -7, 14, 6],\n [11, 1, 9, -11, 15, 0, 15, -7],\n [1, 14, 2, -13, 12, -11, 14, 6],\n [5, 1, 4, 6, -12, -12, 5, 8],\n [5, -9, -8, 6, 6, 15, 15, 14],\n [-14, 13, 13, -6, -11, 1, 9, -9],\n [-14, -10, -6, -7, 12, -11, -13, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-161", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, 0, 11, 4, 3, -15, 10],\n [14, -5, 13, -1, -9, -8, 0],\n [2, 8, 12, 9, 7, -5, -15],\n [0, -12, 7, -10, -5, 14, 8],\n [-10, -6, -10, -6, 6, 7, -11],\n [12, 11, -7, -9, 1, 11, -4],\n [12, 14, 9, -5, -10, 11, 8]]\nB =\n[[9, -5, -5, -2, 0, -14, -14],\n [-11, -2, 5, 12, -6, -6, 2],\n [10, 4, -7, -12, 1, 5, -14],\n [-2, 6, -15, 7, -9, 15, -12],\n [-7, -13, -11, 5, 8, -6, -6],\n [-12, 1, 11, 5, 1, 3, -10],\n [-15, 10, -2, 14, -3, -13, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-637", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-14, 6, -9, 12, -4, -14, -5, 0],\n [11, -11, 10, 12, 10, 1, -13, -2],\n [0, 1, 12, 3, -12, 12, 12, 5],\n [4, 4, 9, 9, -7, -5, -11, -5],\n [-3, 5, -14, 6, -14, -6, -3, -11],\n [-5, 13, -1, 12, 12, -11, 4, -11],\n [-9, -6, 13, -14, 15, -15, 4, 7],\n [-15, -12, -1, -1, 14, -10, -10, -15]]\nB =\n[[-9, 14, -11, 6, 1, -9, -12, -13],\n [-4, 11, 13, -1, 4, -7, 5, -4],\n [-11, -8, -1, -9, 3, -3, 15, -15],\n [12, -5, -3, -14, 3, -5, -15, -15],\n [-8, -3, -8, -14, -8, 11, 13, -2],\n [-14, -3, 11, -11, -15, -7, 4, -6],\n [14, -5, 2, 1, -10, -5, 8, -12],\n [-15, -15, 6, 2, 15, -11, 15, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "786", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-14, -7, -14, -11, 4, 11, 1],\n [10, 9, 3, -6, -8, 4, -5],\n [-3, -3, -7, -11, 2, -8, 13],\n [4, -2, -14, 6, 0, -15, 8],\n [9, 7, 13, -3, 9, 2, 11],\n [-15, -9, -12, -6, -8, -13, 7],\n [-9, 11, 15, 10, 9, 0, 11],\n [4, 14, -6, -3, 14, -15, -9]]\nB =\n[[-6, -4, -2, 6, -5, 1, -7],\n [10, -8, -6, -12, 15, 15, -11],\n [8, 2, -10, -6, 2, 15, 12],\n [-5, 8, -11, 12, 10, -13, 2],\n [-12, -8, 1, -6, 15, 3, 13],\n [-15, -14, 10, -5, -1, 7, -15],\n [-7, -8, -15, -6, 1, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9767", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-14, 6, 1, -12, -9, 13, 13, 12],\n [-7, 10, -13, 4, 5, -11, 2, 13],\n [5, 10, 1, -9, -2, -1, 5, 6],\n [-2, -7, 0, 3, -15, -8, 2, -14],\n [10, 13, -12, 5, -15, 11, 3, -5],\n [8, -10, 3, -2, 12, 7, 11, 6],\n [5, 8, 8, 3, 8, 10, 9, -3],\n [-4, 13, -6, 3, -5, 8, 8, -4]]\nB =\n[[-9, -8, 1, -13, -10, -4, -1, 7],\n [-9, 11, -10, 15, 13, -4, 12, -4],\n [11, -12, 5, -7, 1, -14, -11, 5],\n [12, 7, 8, -6, -10, -10, 5, -11],\n [13, 11, -8, 5, 6, -13, 15, -2],\n [-11, -1, 14, -7, -1, 3, 0, -8],\n [-1, -5, 7, -12, 5, 8, -6, 7],\n [10, -6, -14, -8, -8, -7, -14, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10416", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -14, -12, -13, 7, -2, 5],\n [0, -1, -9, 2, 4, -10, 12],\n [5, 0, -5, -14, 12, 7, -14],\n [-2, -7, 7, -4, -13, 6, -11],\n [12, -7, 13, -13, 2, -14, -12],\n [-3, 1, -7, 3, -2, -3, -11],\n [2, 8, -1, 11, -5, 14, 3]]\nB =\n[[-11, -9, -14, 3, 8, 0, 10],\n [14, 8, -13, 13, -6, -4, 7],\n [14, 11, 13, -14, 9, 13, 13],\n [-8, 9, -7, 7, 4, -4, 12],\n [-11, 7, -3, -11, 12, 10, -1],\n [8, 5, -11, -11, -12, 11, 12],\n [11, 12, 7, 0, 2, -6, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2885", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 11, -13, -6, -3, 8, 7, -13],\n [-12, -3, -2, -12, -4, 0, -6, 7],\n [8, 4, 8, 1, 13, 9, -9, -12],\n [8, -4, -6, -14, -2, -8, -6, -10],\n [7, 7, -14, -2, -5, -14, -12, -10],\n [-12, 6, -11, -10, -7, 6, 6, 0],\n [-5, -5, 8, 15, 5, 5, -6, 13]]\nB =\n[[11, -15, 6, 1, 11, -8, 10, 0],\n [9, -10, -2, 9, -14, -7, -12, 15],\n [3, 1, -15, 8, -14, 1, -14, -13],\n [-12, -3, 11, 9, 7, -4, 5, -11],\n [-2, -10, -15, 0, -10, -3, -3, -5],\n [0, 6, -2, -5, -11, 10, 9, 10],\n [-6, 5, 9, 10, -1, -9, 15, -13],\n [-5, -7, -6, 7, -12, 14, 12, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10510", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 9, 4, 10, 2, 13, -2, -7],\n [10, 12, 14, 4, 0, 11, -14, 7],\n [-9, -11, 5, 8, 6, 1, -5, 14],\n [12, -12, 1, 5, -11, -12, 15, 9],\n [8, 14, -6, 14, -13, 5, -10, 5],\n [-8, -11, -8, -6, 15, 10, 14, 3],\n [5, -12, 13, 11, -10, -13, 12, 10],\n [-12, 11, -12, -11, 11, -1, 0, -10]]\nB =\n[[2, 10, -4, 8, 4, -9, 7],\n [-4, -2, -3, 10, -5, -5, -14],\n [-2, -1, 7, 12, -15, -4, -2],\n [2, 5, 8, 12, 7, -13, 13],\n [10, 15, 9, -4, 13, -11, -13],\n [-9, 0, 4, 1, 5, 11, -8],\n [-1, 12, 4, -1, 7, 15, -8],\n [9, -5, 15, 9, 5, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3113", "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, 2, -7, 0, -15, 14, 6],\n [-10, 14, 7, -14, -3, 6, -10],\n [-7, -2, 8, 5, -9, 7, -11],\n [-9, -13, 7, -3, 6, 15, -4],\n [-10, -14, -1, -1, 2, 7, 1],\n [9, -13, 6, -13, 12, -7, -6],\n [-4, 7, -15, -12, 14, 5, 7],\n [7, -11, 12, 1, 5, -11, -12]]\nB =\n[[13, 6, -1, 8, -6, -11, -2, 8],\n [15, 12, 5, -3, 3, -8, -4, 4],\n [14, 3, 3, -10, -8, -6, 5, 1],\n [-15, 3, -4, 12, 6, -14, 1, 15],\n [-9, -2, -2, -4, 0, 2, -8, -14],\n [-5, -15, -6, 2, 0, -14, 7, 1],\n [0, 3, -11, 12, 7, 14, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10739", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 0, 0, -9, 0, -7, 7, -10],\n [0, -7, 13, -12, 12, 10, 6, -10],\n [14, 10, -2, -13, 7, 1, -5, 8],\n [-8, -8, 9, 15, -12, -1, 0, 6],\n [15, -5, 12, -9, 2, -10, 8, 15],\n [-12, -11, 8, -13, -10, -2, -15, 4],\n [-2, -10, -13, 1, 6, -2, 3, 8]]\nB =\n[[-9, -5, -9, -3, 12, 8, 7, 5],\n [10, 8, -2, 8, -5, -8, 15, -4],\n [-1, -6, 6, -14, 8, -3, -6, 15],\n [1, 9, 9, 6, -6, 6, -10, 11],\n [4, -15, 1, -15, -11, 13, -1, 7],\n [-15, 1, -2, -3, 12, -5, -4, -10],\n [-5, -14, 2, -4, 13, 7, -1, -7],\n [-8, 2, 0, 14, 7, 5, 13, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-612", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -4, 14, 13, 4, -4, 14],\n [-6, -2, -12, -1, 4, -7, -9],\n [-9, 14, 4, -7, 8, -6, 4],\n [-3, -10, -12, 1, 5, 10, -2],\n [11, -13, -15, 2, -14, -8, 0],\n [-12, 3, 4, -6, 1, 1, 5],\n [-9, -7, -9, 11, 5, -13, 8],\n [-4, 7, -12, 1, 13, -13, -5]]\nB =\n[[-8, -14, 9, -2, -12, 15, 0, -2],\n [-9, -6, -4, 7, 12, -8, 7, -5],\n [4, -3, -4, -9, 5, 15, -4, -6],\n [-9, 3, 10, 11, -9, 7, 2, 8],\n [7, 9, -4, -12, 9, -15, -11, -6],\n [-9, 4, 13, 15, -9, 14, 12, 15],\n [9, -3, -2, -11, 5, -14, -2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-952", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 4, -14, -8, 4, 14, 13, -11],\n [14, -4, -9, 11, 5, -3, -1, -6],\n [-12, 15, 0, -9, -3, -12, 10, -4],\n [4, 15, -14, -11, -8, -12, 11, 13],\n [15, -14, 9, -10, -13, 13, -2, -6],\n [-5, -11, 6, 0, -7, 5, 0, -7],\n [1, -4, -1, -6, -12, 1, 2, 2],\n [-6, -5, 5, -15, -6, 14, -13, 11]]\nB =\n[[-10, 1, -4, -5, 1, -13, -7],\n [2, 15, 12, -10, -13, -10, -5],\n [-5, -9, -3, -3, -9, -2, -14],\n [-13, -12, -8, 5, -15, -7, 1],\n [2, -9, 11, -13, 6, 0, -8],\n [-11, 1, 10, 14, 12, 3, 11],\n [2, 6, 14, -11, -9, 2, 14],\n [-3, 6, -5, -11, 6, -1, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4631", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -9, -11, 15, 14, 13, -9, 1],\n [15, -7, -10, -7, 1, -14, 7, 4],\n [14, -3, 10, 14, 1, 5, 4, -10],\n [13, 7, 15, 11, 3, -10, -14, 12],\n [10, -3, 4, 14, -6, 13, -7, -3],\n [-9, 2, 6, -2, -12, -8, -4, -8],\n [0, -15, 8, -6, -9, 14, -2, 1]]\nB =\n[[3, 14, -11, 3, -13, -15, -8, -7],\n [-11, -15, 1, 9, -2, 1, -7, 15],\n [-13, -13, -3, 4, -11, -10, -2, -10],\n [10, 13, 15, 13, 9, 1, -7, -12],\n [7, -1, 6, 9, 2, -1, 11, 2],\n [-9, -1, 12, 9, -11, 7, -5, 8],\n [-2, -8, -12, -6, -9, -15, 4, -4],\n [-3, 0, -2, -3, -11, -2, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-2, -4, 7, 12, 6, 4, -1, 3],\n [-5, 14, 6, 10, -1, 14, 13, 12],\n [5, 14, -4, 3, 0, -12, 2, -7],\n [0, -9, 12, 14, 10, 3, 8, 8],\n [-5, 1, 14, 5, -11, -4, 3, -14],\n [-15, 13, -12, 12, -5, 10, 2, 5],\n [12, 11, 0, -6, -4, -14, -15, -6],\n [-6, 12, 10, -6, 9, -14, 10, 4]]\nB =\n[[-13, -15, 8, 2, -5, 8, -4],\n [-15, -10, 0, 4, -13, 1, 10],\n [0, -5, 0, -4, -15, -5, 7],\n [-10, 3, -4, 12, -14, -6, 3],\n [12, -1, -8, -5, 7, 0, -3],\n [14, 12, 15, -3, 7, -11, -4],\n [-6, 3, 1, -15, 6, -1, 0],\n [4, 7, -6, -6, 10, 1, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-262", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 7, 1, -14, -7, 9, 6, 11],\n [-12, -9, -11, 15, 3, -12, 2, 14],\n [6, -13, 7, -12, -2, 8, 11, -2],\n [1, -7, 3, 15, -13, -1, 5, 10],\n [-15, 14, 3, -12, -2, 2, -4, -10],\n [-6, -12, 0, -15, -13, -9, 14, -13],\n [13, 6, 11, -1, -10, 0, 1, -14],\n [-6, -5, 12, 11, -10, 2, -1, 0]]\nB =\n[[14, -3, 0, -14, 4, -4, 13],\n [-2, -8, -10, -2, 8, -1, 4],\n [11, -13, -9, 15, 0, 7, -14],\n [1, -5, 8, -13, 6, 7, -8],\n [6, 7, 5, 3, 15, 2, -9],\n [0, 8, -2, -8, -3, -13, -14],\n [-3, 9, 6, 10, -13, 5, -15],\n [-14, 9, -6, -5, 10, -13, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1471", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -8, -1, -11, -8, 2, 2, -4],\n [-12, -8, -14, 4, 8, -13, -8, -4],\n [-14, 14, 1, -2, -2, 14, -10, -8],\n [9, -6, 8, 2, -15, -9, -9, -3],\n [0, -4, 13, 3, -10, -9, 14, 9],\n [1, 13, 3, -11, -13, 8, 10, 6],\n [2, 1, 10, 5, -5, 9, 10, -7],\n [1, 3, -3, -10, 5, -12, 13, 2]]\nB =\n[[-4, 12, 12, -12, -11, 15, -4],\n [2, 10, 1, 7, 7, 8, -6],\n [-10, 1, -8, -14, -4, -13, 8],\n [4, 5, 9, 11, 7, 10, 12],\n [-9, -15, 1, 15, -8, -6, 1],\n [0, -6, -1, 0, 2, -12, 9],\n [-9, 13, 13, -4, 7, -4, 10],\n [7, 5, -15, 5, 8, 12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 15, -9, -1, -14, -15, -12],\n [-8, 14, 1, 13, 2, 7, -11],\n [15, -10, -4, 8, 12, 0, -7],\n [-1, -8, -4, -2, 1, -2, 11],\n [4, -11, -3, 9, -10, -2, -10],\n [14, -13, 0, -4, -2, -14, 2],\n [15, -9, -11, -4, 10, 1, -4],\n [5, 15, -5, -15, -7, -8, -2]]\nB =\n[[-12, 15, -5, 1, 11, -8, 5, -15],\n [15, 2, 15, -11, 13, 14, 9, 10],\n [-8, 11, 10, -8, 13, -7, 2, -9],\n [-6, 5, 0, -13, -6, 14, -8, 2],\n [-12, 13, -4, 5, -11, -12, 15, 3],\n [3, -11, -1, 15, -4, 10, -3, -10],\n [13, 1, 11, 4, -6, -2, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1470", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 13, 0, -14, -6, -11, 11, -7],\n [3, 3, -7, 0, 13, 3, 4, 12],\n [9, -12, -11, 2, -8, -3, -7, -6],\n [-12, 3, 15, -12, 13, -3, 7, 1],\n [11, -5, -14, 10, -11, 9, 15, -3],\n [6, -13, 3, 13, 7, 3, 0, 15],\n [0, 10, -13, 10, 12, 7, 9, -7],\n [3, 8, -15, -2, 12, 8, -5, 2]]\nB =\n[[4, -9, -10, -4, 9, 14, 8],\n [-14, -3, 4, -15, 7, -1, 4],\n [-8, 2, -1, -8, -14, -5, -8],\n [13, -3, -15, 13, 2, -11, -15],\n [-4, -11, 5, 0, 7, 2, -14],\n [-1, 12, 15, 6, 14, -5, 13],\n [-6, -13, -3, -3, 8, -13, -6],\n [-12, -2, 13, 7, 1, -15, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "651", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[-1, 12, 6, 5, -14, 2, -9],\n [6, 12, 14, -3, 8, -13, -13],\n [-3, 5, 10, -12, 0, 12, -8],\n [6, -8, 0, 15, 7, -14, -7],\n [11, -3, 6, 11, 11, 6, -4],\n [-14, -7, -15, -10, 14, 8, -14],\n [-13, 10, -1, 10, -9, -3, 0],\n [-3, 11, -4, 1, 5, -5, 6]]\nB =\n[[10, -9, -3, -6, -6, -3, 7, 3],\n [14, 7, 1, 11, 4, 15, -9, 7],\n [-12, 1, 15, 14, 15, 8, -12, 2],\n [4, -8, -8, 5, 0, -1, 2, 7],\n [3, -10, -7, 13, 0, 5, -7, 4],\n [9, 1, -12, -1, -5, -2, 1, 12],\n [-3, -7, 8, 0, -8, -2, -1, -9]]\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 (8, 2) of the result:\nA =\n[[9, 15, 11, -5, 13, -13, -9, 6],\n [-11, 15, -7, 4, 3, -3, 11, 3],\n [0, -14, -15, -13, 8, -4, -10, -14],\n [8, 0, 13, -11, -4, -12, -2, 1],\n [-4, -3, 1, 4, 12, -1, 13, -7],\n [10, -6, -10, 1, -4, 8, 12, -7],\n [-14, 0, 0, 6, 15, 7, 11, 13],\n [-15, 14, 11, 5, 11, -5, 5, -13]]\nB =\n[[-14, -2, -15, 15, -10, -9, -14, -14],\n [-1, 5, -11, -3, 3, 3, -1, -15],\n [-13, 9, 2, 1, 9, 5, -8, -5],\n [4, -8, 12, 5, -10, -10, -10, -14],\n [-6, -6, -7, 7, -13, -14, -12, -8],\n [-7, 10, -14, 0, 14, -10, -8, -13],\n [-5, 9, 4, -11, 14, -4, 7, 14],\n [11, -5, -11, 4, 4, 5, -13, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "153", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 5) when matrix A is multiplied by matrix B?\nA =\n[[12, 2, -4, 7, -12, 8, -9],\n [8, 4, -5, -14, 7, -4, -7],\n [-10, -9, -10, 2, -3, -7, 5],\n [12, 15, 3, -12, -12, -3, 12],\n [9, -5, 5, -14, -10, -4, 14],\n [7, -8, -11, 8, 8, 14, 4],\n [7, 12, 13, -7, 10, -12, -7]]\nB =\n[[-4, -12, 1, 4, -14, 6, -3, 15],\n [-1, -8, -10, -7, 6, -5, 7, -4],\n [5, 8, -14, -14, -5, -8, -10, 2],\n [6, 13, -5, 8, -10, -7, 6, -2],\n [3, 9, 10, 15, 5, -10, 4, 3],\n [-6, -2, -11, -4, 3, 13, -14, -1],\n [-10, 14, -8, -2, -13, -10, -5, 14]]\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[[-7, 15, 14, 1, 3, 13, -14],\n [12, -8, 9, -6, 6, -13, -6],\n [8, 10, 15, 7, 14, -14, 11],\n [-9, -15, 8, -4, -11, -7, -4],\n [-5, -4, -13, -4, 7, 8, -15],\n [14, -10, 14, -5, -14, -8, 6],\n [-5, 15, 11, -4, 3, 4, 7]]\nB =\n[[-7, -5, 10, 2, -7, -1, 6],\n [2, -8, -12, 11, -3, -1, -8],\n [0, -5, 7, 7, 11, -3, 14],\n [-9, 2, -8, -14, -13, -6, -9],\n [7, 12, -9, -12, 5, 7, -8],\n [3, 6, -4, 9, -6, -2, 11],\n [-4, 5, 4, 9, -12, 3, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7479", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-9, 5, -15, -8, -5, -15, 9],\n [-15, -12, 10, -12, -5, 14, 9],\n [-15, -6, 13, 9, -12, 7, 9],\n [11, -9, -14, 6, -3, 6, 3],\n [-12, -10, 11, 6, 1, 10, 8],\n [-7, -14, 4, 11, -10, 2, 11],\n [7, 6, 8, -1, 7, 0, 10],\n [-15, -6, -6, 5, -10, 14, 7]]\nB =\n[[-12, -2, 9, 1, -13, 10, -14, 14],\n [2, 1, -3, 3, -6, 5, 6, 8],\n [-12, 1, 12, 0, 9, 3, 8, -2],\n [4, 11, 15, -1, 3, -13, 4, 4],\n [0, 12, 15, -9, 2, -8, 11, -2],\n [2, -15, 8, 15, 4, -10, -3, -15],\n [3, -9, 7, 11, 8, 0, -2, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 4, 15, 6, 4, -1, 9, -2],\n [-15, 1, 0, -11, 5, 11, 8, 7],\n [11, -13, 8, 14, 4, 3, -14, 9],\n [-2, 12, 7, 5, 9, 3, -3, -3],\n [13, -10, 8, -7, 4, -15, 8, -6],\n [-13, -10, 0, 4, -10, -4, -13, 7],\n [2, 5, -13, -11, 3, 9, 8, 14]]\nB =\n[[2, -8, 14, 8, -6, 3, -6],\n [5, -14, -6, 6, 2, 15, -12],\n [15, -13, 1, 8, 8, 1, 12],\n [6, -4, 1, -3, -7, -15, -1],\n [3, -7, 1, -1, -14, -12, -9],\n [-8, -15, -15, -11, -8, 15, -15],\n [-13, 6, 13, 1, 14, -13, 12],\n [-15, -12, -7, -3, -11, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10004", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 7, -2, 6, 11, 9, -12],\n [-12, -7, -14, -6, 2, 9, -9],\n [5, -2, 5, 9, 13, -1, -6],\n [-11, 9, -8, 6, 5, 13, -11],\n [-11, -2, -15, 11, -11, 3, 6],\n [9, -4, -1, -13, -15, 8, -4],\n [-3, 14, -2, 9, -6, 4, 10],\n [-2, -2, -3, 5, -13, 14, 13]]\nB =\n[[8, 3, 4, -6, -4, 7, -14, -15],\n [-12, -8, 15, 1, 10, -2, -2, 3],\n [-12, 4, 0, 3, 3, -3, -9, 8],\n [-2, 13, -6, -2, 4, -5, -5, -1],\n [-8, 8, 6, 1, 7, 7, 5, -10],\n [-2, -7, -13, -4, -12, 9, -1, -3],\n [10, 14, 12, 2, -2, -3, -7, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2252", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 3, -8, -3, -7, 1, -11, 14],\n [-7, -5, -14, -3, -15, -8, -1, 6],\n [14, 14, -14, -13, 5, 1, 2, 11],\n [12, 1, 14, -2, -5, 7, 7, 10],\n [15, -2, -11, 10, -10, 13, 3, -5],\n [-14, -6, -3, 15, 9, -14, -2, 1],\n [-7, -8, -8, -9, 9, 11, 0, 3],\n [8, 1, -15, 11, -3, 15, 15, 0]]\nB =\n[[-10, -1, -4, 8, -8, 10, -15],\n [-5, -1, -15, 9, 0, 9, -9],\n [-15, 13, 10, -14, -8, 8, -5],\n [-3, -11, 2, 3, 5, -13, 10],\n [-15, 14, 6, 14, -11, 3, -7],\n [10, 8, -9, -4, -2, 13, 15],\n [0, -3, 11, 2, 14, -6, 5],\n [5, -10, 6, -13, 11, -12, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11728", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 1, -11, -4, 4, 15, 7, -9],\n [-12, 10, 14, 0, -1, -2, 13, -14],\n [-6, 4, 8, -14, -11, -3, 7, -6],\n [6, -3, -2, 9, 2, 4, 7, 12],\n [-8, -11, 5, 4, 9, -4, 0, 10],\n [4, 3, 9, -9, 9, -12, 3, -6],\n [-8, 0, -12, -6, 3, 0, 15, -4]]\nB =\n[[4, -14, 12, -5, 4, 7, 15, -3],\n [-13, 1, -6, -8, -10, -2, 3, 8],\n [6, -15, 9, -5, 9, 9, -2, -3],\n [-4, 6, -10, 13, -12, 8, -7, 12],\n [-9, -9, -3, -14, -14, 12, -1, 10],\n [0, 11, -14, 4, 9, -11, -14, 4],\n [-9, -11, -5, -8, 1, -2, 13, 14],\n [15, -11, -12, -13, -9, 10, -5, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-802", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 7) of the product matrix AB given:\nA =\n[[6, 8, 2, 6, 11, -15, 13],\n [0, -3, -10, -10, 5, 7, -2],\n [-11, 15, 14, -8, 2, -10, -11],\n [-6, 2, 11, -3, 7, 4, -10],\n [5, -12, -3, 2, -3, -3, -9],\n [-11, 13, -13, -10, -8, 11, 10],\n [10, -4, -14, -5, 10, 12, 4]]\nB =\n[[-13, 7, -6, -8, -8, -2, -12, 15],\n [-1, -6, 2, 6, -1, 3, 8, -13],\n [-14, -3, -3, 9, -7, 9, -13, -14],\n [-2, 0, -2, -12, -14, 0, -8, 10],\n [-15, 2, 6, -7, 10, -4, -11, 5],\n [-13, -8, 12, 6, 10, 12, 0, 2],\n [-4, -4, 5, -12, 11, -6, -7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 8) of the product of the following matrices:\nA =\n[[8, -15, -11, 9, -13, -5, -3, 6],\n [-5, 10, -10, 11, 6, -12, -9, -13],\n [6, -6, -11, 3, 2, 12, 15, 1],\n [8, -15, -11, 5, 1, 9, 5, -7],\n [-5, 6, -9, -9, -14, -2, 0, -11],\n [2, -12, -4, 3, 12, -3, 11, -10],\n [-5, -1, 5, 1, 15, -14, -3, 7]]\nB =\n[[9, -15, -12, 14, 15, -1, 0, -5],\n [-13, -4, -4, -5, 0, 13, 5, 5],\n [-3, -4, -6, 10, -5, 2, -11, 4],\n [-3, 1, -4, 1, -15, -8, 0, -1],\n [3, 9, 15, -6, -14, 9, 11, 9],\n [15, -12, -12, 4, -4, 1, 5, 13],\n [6, -12, -8, 0, 15, -1, 14, -2],\n [3, -5, 9, -3, 7, -8, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the product of the following matrices:\nA =\n[[-14, 15, 15, 4, -14, -8, 2, 8],\n [6, -9, -5, 15, 13, 6, 14, 12],\n [9, 4, -15, 9, 0, 0, 13, -6],\n [8, 1, 13, -6, -10, -2, 10, 12],\n [12, -1, -12, 15, 15, 11, -14, 3],\n [12, -3, -4, 9, 5, 7, 15, -3],\n [-1, -14, -8, -13, -15, 13, 8, -5]]\nB =\n[[11, -7, 8, 1, 12, -9, 7, -12],\n [13, 13, -3, 12, 8, -11, 13, -4],\n [4, 13, -11, -5, -14, -12, -6, 8],\n [-9, -4, -8, 14, 7, 7, 11, 7],\n [0, -14, -13, 1, -1, 2, -6, 6],\n [-14, 1, 15, 0, 8, 9, -9, 3],\n [0, -15, -12, -3, -6, 15, -5, 3],\n [-1, -5, -13, -14, -5, -6, -13, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-11, -1, -12, 1, -15, -15, -4, -6],\n [-7, -7, 9, 15, 10, 4, 4, 14],\n [-2, 10, 7, 13, 3, -6, -13, 4],\n [11, 6, 1, 11, 14, -13, -4, -1],\n [15, -11, 11, -1, 4, 8, 0, -7],\n [-8, -5, 11, -7, 0, -2, -1, 14],\n [-2, 8, -6, -3, -15, 7, 14, -7]]\nB =\n[[1, 10, 1, -6, -3, 2, -3, 5],\n [13, 12, 8, -3, 8, -6, 4, -9],\n [-9, -7, 0, -1, 9, -13, -3, 15],\n [-5, -8, 5, 15, 5, 8, 15, -10],\n [-6, 10, 1, 4, -7, 5, -2, 4],\n [11, -3, 10, -15, 9, 8, 3, -7],\n [1, -1, 4, -11, -12, -12, 9, -1],\n [-11, 1, 14, -9, -10, -1, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -6, -10, -6, 7, 4, 12],\n [-7, -3, -2, -15, -15, 3, -7],\n [-11, 1, 0, -4, -11, -10, 4],\n [7, -5, 3, 5, -10, 7, -6],\n [-1, 2, 5, 13, -9, 7, 12],\n [-13, 8, 0, -3, 1, -12, 3],\n [-12, 11, 9, 11, -4, 15, 8],\n [11, -12, 13, 8, 1, 12, 8]]\nB =\n[[10, 2, 6, -10, 3, 13, -11, -14],\n [-5, 8, 8, -3, -11, 7, -8, -5],\n [-12, 2, 14, -1, -11, 7, 15, -4],\n [-12, -12, 4, -7, -7, -2, 11, 10],\n [8, 11, -8, 7, -15, 8, -5, 11],\n [-12, 13, 1, 1, 3, -3, 3, 10],\n [1, 8, 4, -4, 4, -2, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8939", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -4, 8, 15, 1, 0, -4, -6],\n [10, -14, -13, 11, -11, 0, 5, -3],\n [10, 8, 2, -14, 8, -15, -7, 2],\n [12, -11, -13, -11, -4, -8, -8, 6],\n [9, -9, -14, -15, 8, -15, -8, 12],\n [9, 1, 7, -11, 13, -2, -8, 4],\n [15, 2, 7, 13, -9, 8, -2, 9],\n [-2, -10, -13, 5, -2, -2, -13, -6]]\nB =\n[[-7, 5, -9, 10, -9, -9, -4],\n [10, -12, 4, -3, -13, 4, -7],\n [5, 14, 6, 4, -3, -15, 13],\n [7, 13, 7, -10, 4, 10, 13],\n [8, 12, 14, -8, 1, 15, 9],\n [8, 2, 9, -12, 10, 15, 14],\n [-4, 6, 0, 14, 2, -6, -12],\n [-14, 12, 9, -1, -7, -1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3625", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -13, 1, -3, 8, -13, 12],\n [-12, 2, 8, -13, -2, 0, -4],\n [-5, -14, -15, -3, 14, 10, 2],\n [2, -3, -12, 11, -15, -1, 1],\n [-10, -11, -15, 6, 0, -2, 8],\n [13, -11, -13, -13, 13, 11, -4],\n [2, -7, 9, 7, 1, 1, 4],\n [12, 2, 13, -13, 2, -1, -15]]\nB =\n[[-13, -9, -6, -7, 10, -7, -8],\n [-10, -15, 0, 8, 8, 14, 12],\n [9, -6, -5, -4, 6, -13, -10],\n [-8, 7, -3, 8, 3, -8, 5],\n [7, -3, -12, -13, 6, 9, 4],\n [12, 9, -13, 6, -4, -11, 9],\n [-10, 2, 4, -2, -11, -5, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-713", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-7, 13, 1, -4, 9, 10, -15],\n [-15, -12, 13, 6, 14, 2, 1],\n [-4, 4, 8, 6, -4, -11, -15],\n [3, 14, -9, -1, -2, 10, -13],\n [-11, 15, -10, 9, -5, 3, 15],\n [6, 11, -14, 9, -4, 9, 7],\n [-2, 11, -7, 4, 0, 10, 1],\n [1, -14, -6, 14, -5, -13, 14]]\nB =\n[[-14, -12, -8, 3, 4, 2, -15, 14],\n [8, 7, 10, -14, -8, 13, -6, 3],\n [-9, 1, 12, 13, 15, 14, -13, 9],\n [-1, -12, 1, -5, 14, -10, 1, -6],\n [-15, 2, 15, -2, 3, 13, 2, 8],\n [6, 15, -15, 6, -15, -7, -2, -13],\n [-4, 1, 1, -14, 13, -10, -15, 7]]\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 absolute values of all entries of the result:\nA =\n[[11, -4, -12, 7, 0, 4, -5],\n [4, 14, 4, 10, 12, -6, -8],\n [-14, -8, 10, 11, -15, 13, 7],\n [-9, 6, -2, -12, 5, 1, -14],\n [10, 7, -14, -8, -9, 10, -8],\n [4, 1, 7, 1, 15, -9, 9],\n [-11, 14, -1, -14, -5, 14, 1]]\nB =\n[[8, -3, -12, 8, 2, 13, -2, 3],\n [-13, -12, 9, -7, 5, 7, -2, 13],\n [14, 9, 1, 13, -14, -2, 6, 0],\n [3, 0, -5, 12, 11, -2, -9, -11],\n [10, -8, 13, 1, 14, 9, -2, 11],\n [-6, 6, -4, -11, -8, 12, -4, -12],\n [12, -3, 9, 5, 1, 8, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11031", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 6) of the result:\nA =\n[[13, -11, -10, -7, -11, -14, -13, -5],\n [-6, -13, -7, -8, 0, 13, 13, 15],\n [6, 5, 10, -14, 9, -6, 8, -2],\n [-11, 6, 15, 9, -15, -3, -12, 5],\n [-7, 0, 12, 5, 5, 12, 12, 3],\n [8, -2, 7, 8, 4, -8, -6, 4],\n [-15, 15, 4, -11, 10, -1, -8, 15]]\nB =\n[[12, -6, -10, -1, -1, 11, -6],\n [5, 3, -12, 6, 15, -10, -1],\n [-10, 2, -5, -4, 14, -8, 8],\n [6, 14, -2, -12, 2, -10, -10],\n [10, 3, -14, -12, 8, -11, -1],\n [-13, 13, 0, 14, -3, -4, 5],\n [-7, -5, -8, 12, 10, -9, -12],\n [-14, 12, 9, 3, 6, 14, 13]]\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 (1, 1) when matrix A is multiplied by matrix B?\nA =\n[[7, -4, -13, 3, -13, 3, 3, -9],\n [13, -2, 5, -12, -10, -2, -8, 2],\n [12, -1, 3, 2, 14, -1, 7, -4],\n [2, 14, -11, 11, -1, 10, -7, -8],\n [-8, -13, -3, -3, -4, -1, -2, -15],\n [-14, 7, -12, -3, -6, 5, -3, -15],\n [-5, 2, -7, -10, 7, -3, -11, 9],\n [14, -6, -11, 6, -6, 9, -11, 4]]\nB =\n[[12, 5, -5, 13, -11, -11, 1, 5],\n [-11, -15, -3, -12, -8, 4, 7, -10],\n [-1, -1, 5, 0, -7, 13, 8, -11],\n [14, 10, 7, 0, 14, 11, 9, -9],\n [-13, -6, 11, 0, 5, -4, -7, 0],\n [-7, 8, 13, 6, 15, 7, -9, -5],\n [1, 8, 6, 7, 15, -6, -1, -6],\n [11, -14, 0, -9, 8, 12, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 5) of the product of the following matrices:\nA =\n[[1, 6, -3, 3, 5, 9, 7, -8],\n [6, -7, 3, 1, -6, -2, 14, 13],\n [12, 12, -4, 11, 4, 8, 6, -9],\n [14, 13, -7, 2, -9, 12, -12, 7],\n [-8, 12, 2, 13, -1, -9, -8, 12],\n [-15, -5, -6, -11, 14, 9, -14, 6],\n [-14, 3, 0, -5, -2, 6, -11, -12]]\nB =\n[[7, 14, 3, 13, -6, 7, 12],\n [-7, 2, 15, -11, 1, 7, 2],\n [11, 5, -15, -2, 11, -2, -2],\n [-15, -12, 7, -9, 8, -4, -3],\n [9, -1, 4, -14, 10, 12, 15],\n [-2, 14, -4, -3, -2, 13, 10],\n [-13, 9, 11, -3, -8, 0, -10],\n [-5, 13, -1, 3, 10, 8, 13]]\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 sum of all entries of the result:\nA =\n[[-14, -5, 4, 4, -7, 8, 7, -12],\n [7, 1, 11, 8, -8, 9, 9, 0],\n [-15, 15, -6, -9, -1, -15, 6, 0],\n [5, 11, -14, 13, -13, -1, 8, 2],\n [-1, 11, -12, -13, 12, -9, 8, 4],\n [6, 3, 7, -8, -9, -12, 14, -6],\n [12, 9, -6, -1, 8, 6, 2, -6]]\nB =\n[[7, -7, 9, 9, -7, 6, 0, 1],\n [0, 14, -10, -11, -9, -3, -8, -15],\n [14, -6, 4, 4, 13, -15, 11, 4],\n [7, 15, -2, -1, -10, 4, -14, 12],\n [13, -9, 8, 9, 9, 14, 4, 3],\n [-11, 6, 12, 13, -8, -13, 14, 15],\n [-3, -10, 5, 13, 7, -2, 9, -9],\n [-5, 6, -7, -6, 4, 14, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3172", "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, -10, 14, 15, 5, 10, -5],\n [-13, -10, 1, -9, -10, 5, -3],\n [-2, 3, -8, -3, 4, -7, 9],\n [-11, -5, -9, -10, -4, -4, -10],\n [15, -12, 10, -3, -4, -1, -8],\n [-3, -5, -5, 14, -5, 10, 3],\n [5, 1, -15, -3, 9, 4, -7]]\nB =\n[[7, 10, 8, -5, -7, 1, -9],\n [-8, 14, -14, -2, -6, -7, 12],\n [-15, -4, -2, 15, 3, 13, -5],\n [-7, 1, 4, 10, -10, -10, 14],\n [4, -6, -6, 15, 10, 10, 1],\n [5, -2, -11, -13, -5, 3, 4],\n [3, -2, -1, -13, -13, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5518", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-5, -1, 13, 1, 8, 10, -4, 1],\n [-7, -3, -8, 15, 6, -10, 11, 10],\n [7, 8, 13, -9, 15, 13, -15, -6],\n [-1, 13, -2, -12, 15, -12, 13, -7],\n [-1, -4, -7, -13, 11, -1, 9, 5],\n [-5, -10, -1, -9, 3, -2, -12, 5],\n [-15, 8, 11, 7, -3, -5, 12, 13],\n [2, 7, 12, -7, 5, 14, -5, -10]]\nB =\n[[0, -11, -15, 6, -2, 14, 7, 5],\n [3, 15, -10, 12, -4, 11, -9, -6],\n [-6, 12, 14, 9, -3, -9, 3, -15],\n [-1, -2, -3, -9, -4, -8, -1, 11],\n [1, 5, -4, 12, -3, -8, -6, -9],\n [15, -14, 13, 13, 0, 13, -12, -10],\n [-9, 14, 7, 3, 12, 8, 7, -12],\n [-6, 13, -12, 4, -11, -2, -5, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "369", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 6, -4, 8, 11, -15, 15],\n [6, -1, -10, 8, 13, 1, 5],\n [-1, 14, -2, 14, 3, 6, -7],\n [10, -13, 9, 12, 9, -1, 1],\n [-14, 11, -12, -2, -5, 11, -4],\n [7, 0, -4, -14, -9, 5, 10],\n [15, 7, 14, 12, 9, 9, -13],\n [-13, -3, -9, -11, 5, -11, 9]]\nB =\n[[15, 4, 6, -10, -3, -9, -14, 6],\n [13, -7, 3, -14, -3, -8, 0, -15],\n [-5, -8, 5, 9, 9, 4, -15, 5],\n [-9, 9, 10, 9, -7, 6, -14, 5],\n [3, 12, -10, 11, -11, -3, 14, -6],\n [11, -15, 10, 10, 12, 2, 11, 5],\n [-2, -4, -10, -2, 1, -9, -13, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11349", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 7, -6, -13, 0, -10, 15],\n [-12, 14, 4, -7, 13, -9, 0],\n [-10, -4, 9, 13, -13, -4, 4],\n [-2, -2, -7, -12, 7, 9, 4],\n [9, -1, -9, 4, 3, -10, 3],\n [-9, -15, -9, -13, 9, -10, 7],\n [9, -10, 10, -5, -14, 15, -10]]\nB =\n[[6, 2, 7, -2, -4, -7, -3, 10],\n [4, 11, 5, 6, -15, -8, 12, 13],\n [-7, 1, -3, -12, -10, -3, 10, 1],\n [3, 14, 7, 15, 8, 13, -8, 5],\n [1, 1, 8, 5, -1, 11, 9, -15],\n [-14, 4, -6, 11, 0, 7, -12, -8],\n [0, -9, -11, 7, -8, -13, -13, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2675", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[-12, 11, -12, -1, 14, -1, 13, -12],\n [-14, 7, 10, -13, 12, 15, -6, -15],\n [2, -11, -7, 4, -10, 3, -7, 2],\n [8, -1, -1, 11, -2, 14, -13, -8],\n [3, -5, 12, 12, -12, -1, 8, -6],\n [4, -5, 9, -7, 6, 1, -7, 9],\n [14, 13, 7, -7, 8, 9, -7, 7],\n [6, -14, -3, 7, -15, -10, -10, 0]]\nB =\n[[-4, -1, -9, -14, 14, 14, 13],\n [-4, 4, -14, 14, -12, -13, -14],\n [2, -13, -6, -4, -12, 7, 4],\n [11, -9, 4, 3, -8, -13, 11],\n [-1, -8, 2, 13, -2, 3, -12],\n [-13, 6, -7, -6, -8, 4, -14],\n [10, -15, 11, -12, 0, -11, 2],\n [-2, -3, 0, 13, -1, 3, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "221", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 3, 8, 14, -3, -5, 12, 2],\n [9, -5, 6, -15, -1, 8, -6, 6],\n [-12, -10, -14, 1, -4, 6, 8, 13],\n [-11, 8, 3, 13, -10, 1, 13, 3],\n [4, 5, -13, -8, -11, 7, -11, 14],\n [8, 1, 3, 3, 10, -6, -13, 6],\n [9, -3, 0, -4, 6, 5, 12, 1]]\nB =\n[[-14, 0, -5, -15, -4, -10, 3, 12],\n [13, -11, 6, 5, -13, 2, 2, -4],\n [2, -6, -12, 4, 12, 3, 8, 15],\n [-12, 8, -5, -13, 11, -1, 0, -4],\n [2, 14, 8, -10, -1, -14, 7, -4],\n [-6, 7, -12, -8, -1, 3, 0, -3],\n [9, -1, -2, -1, -4, -5, 5, -13],\n [9, -2, -14, 2, -13, -7, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1507", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-13, -11, -7, -6, -10, -10, -5],\n [1, 11, -14, -7, 8, 2, -11],\n [5, -10, -12, -7, -11, -12, 14],\n [-7, 2, 11, -5, 0, -14, 13],\n [0, 3, -6, -12, -4, 10, -7],\n [-3, -11, -14, -13, -8, -10, 13],\n [-11, -12, 4, 0, -8, -4, 6]]\nB =\n[[-11, -11, 6, 15, -3, -5, -5, 3],\n [-9, 1, -11, -10, 13, 14, 15, 2],\n [2, -7, 2, 3, 1, -7, -15, 4],\n [7, 2, 8, -3, -8, 12, -2, -13],\n [-12, -5, -9, 5, -11, -14, -10, 4],\n [-11, -1, -5, -11, 2, -8, -5, 1],\n [-2, -14, -9, 15, 15, 7, 2, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "206", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 2) of the product of the following matrices:\nA =\n[[14, -1, 13, 10, -15, 14, 1],\n [6, 10, 12, -9, 0, -14, -1],\n [6, 4, 13, 9, -5, 8, 8],\n [-14, -5, 5, 0, -14, 3, 0],\n [-8, 5, 4, -11, -8, 10, -2],\n [-2, 7, 15, 6, 2, 10, -11],\n [-6, -1, -3, 14, 15, -7, 9],\n [15, 15, -7, 3, 9, -7, -11]]\nB =\n[[13, -10, 7, -6, 10, -6, -10],\n [5, 13, -15, 4, -3, 14, -8],\n [8, 12, -3, -10, 13, 3, -4],\n [-1, -8, 7, -5, -7, 3, -5],\n [-10, -1, 1, -4, 8, -14, 5],\n [6, -12, 9, -13, -14, 3, -11],\n [1, 0, 0, 10, -4, -12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, 14, 3, -14, -11, -15, 10, -2],\n [7, -7, 1, -4, 8, 8, 7, 10],\n [4, 14, -4, -1, 0, 14, 7, 2],\n [6, -2, -4, 15, -5, -1, 5, 5],\n [11, -8, 1, -8, -12, 13, -6, -10],\n [-10, 1, -8, -3, -1, -12, 13, 12],\n [9, -1, 7, 15, -2, -5, 14, 4]]\nB =\n[[12, 1, 9, -6, -10, -10, -15, -11],\n [-12, 15, -5, 1, -9, 4, -13, -14],\n [-8, -11, 10, 9, -11, -6, -4, 1],\n [-2, 10, -11, -11, 8, -10, -1, 11],\n [-11, 13, -8, 15, -15, 5, -13, 5],\n [3, -1, -12, 11, 9, -14, 14, 10],\n [12, 1, -4, 4, -8, 13, -11, 9],\n [-6, 3, 13, -7, 0, -15, -1, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-883", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (8, 4) of the result:\nA =\n[[9, -2, 9, 10, 5, 0, -6, -4],\n [-3, 4, -7, 12, 10, -14, 15, 3],\n [-1, 15, 14, -1, 8, -15, 2, 5],\n [15, 15, -9, -6, 13, -7, 14, 3],\n [-5, -12, 10, -15, -4, -15, 1, 4],\n [-7, -8, -12, -8, 15, 7, 6, -6],\n [12, 2, -1, 3, 4, 7, 8, 14],\n [-5, 8, -12, -7, -8, 0, 11, -3]]\nB =\n[[-11, -3, 3, -14, -4, -7, -15],\n [7, 11, 13, -2, -9, 1, 14],\n [7, -2, 1, -14, -7, -1, 8],\n [0, -7, 12, 9, -12, -1, 5],\n [-6, -9, -10, -1, 9, -14, 15],\n [8, 14, 15, -1, 2, -2, 14],\n [2, -13, 4, 6, -2, -10, -2],\n [-14, 6, 0, 8, 0, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "209", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[15, 0, 0, -8, -10, 2, 7],\n [-2, 0, -8, 2, -2, 1, 6],\n [13, 6, -8, 14, 15, 0, 7],\n [8, -6, -6, 14, 5, 2, 15],\n [5, 2, -7, 5, -15, 9, 0],\n [-6, -1, -11, 11, 1, 15, -7],\n [9, 10, 10, 9, 15, -10, 10],\n [10, -14, 12, -3, 7, 2, 4]]\nB =\n[[-12, -6, 7, 6, 12, -5, 12, -3],\n [12, 10, 7, 6, 1, 15, 15, -5],\n [-12, -2, -13, 15, 7, 13, 7, -4],\n [12, 11, -12, 0, -9, 4, 9, 3],\n [10, 15, 2, 5, -7, -5, 3, 1],\n [9, 5, 2, -10, -13, -2, -7, -13],\n [-14, 3, -10, -13, 9, 9, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-124", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[15, -9, 15, 12, -14, -15, -11],\n [11, 11, 8, 14, -13, -9, -10],\n [11, 13, 14, -15, 12, 7, 3],\n [14, 4, -2, -6, -14, 15, -5],\n [0, 1, -11, 6, 11, 2, 0],\n [-6, -10, 6, 8, -8, -10, 7],\n [-12, -11, -10, -1, -10, 3, 9]]\nB =\n[[4, -8, -3, -12, 15, 6, 1],\n [-2, 2, -1, 6, 3, -5, -9],\n [-15, 14, -13, 3, 14, 12, -15],\n [15, -12, 8, -5, -9, -9, -2],\n [-1, -11, -2, -3, 4, 10, 6],\n [2, -15, -3, 7, 13, 4, -9],\n [-10, 11, -7, 12, -6, 6, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-438", "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, 14, -5, 10, -4, -4],\n [-3, 6, 7, -8, -12, 5, 4],\n [-15, -10, 7, -14, 6, -2, 11],\n [2, -6, 13, 5, -15, -13, 4],\n [-12, 2, -8, 6, -7, 6, 3],\n [12, -14, -7, -13, 6, 10, -14],\n [-9, 14, 1, 9, 1, -7, 11],\n [-15, -15, -8, 1, 15, -8, 3]]\nB =\n[[-12, 2, -3, 6, -9, 10, -13],\n [-2, -7, -13, -9, -1, -12, -11],\n [12, -7, -13, 0, 0, 3, 9],\n [-7, 13, 4, -15, 1, -4, -7],\n [6, -11, 13, 15, 12, -1, 10],\n [-3, 3, -13, -14, -3, -9, -7],\n [6, -6, -15, 6, 0, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10944", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 2) of the result:\nA =\n[[-8, 14, 10, -3, 0, -13, -3],\n [1, 5, -10, -6, -7, 2, 14],\n [1, 15, -9, -14, -5, 15, 2],\n [-13, -2, 4, -3, 7, 1, 13],\n [6, -5, -9, -13, -13, -14, 5],\n [0, 7, -5, 12, -2, -13, -9],\n [-8, -3, 3, -5, -15, 3, -3]]\nB =\n[[6, 1, -7, 3, 3, 12, 7, 7],\n [13, -10, -9, -11, -8, 10, -2, 2],\n [5, 11, 9, 4, 8, -13, 6, -8],\n [-2, 9, -2, 13, -9, -10, 11, -10],\n [-4, 15, 6, -1, 10, 9, 3, -12],\n [-13, -3, 9, 0, -3, 14, 5, 14],\n [-6, -3, -8, -4, -8, -7, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, -11, -13, 2, 3, 12, -6],\n [-7, 9, 8, -9, -15, 9, -6],\n [-14, -10, 10, 5, -10, 8, -8],\n [10, 2, -9, 2, -15, 12, 8],\n [9, -2, 7, 4, -9, 4, -9],\n [-12, 15, 14, 14, 9, -11, 7],\n [11, 8, 5, -15, 4, -13, -3]]\nB =\n[[-9, -10, 15, -10, -14, 0, -10, -8],\n [5, 9, -5, 2, 7, -10, -2, -1],\n [-5, 11, -1, -3, -10, -12, -2, -3],\n [-6, 9, 6, 13, -4, 8, -8, 4],\n [-11, -14, 4, -4, -10, 14, -1, 2],\n [2, -6, -9, -6, -11, 0, 13, 3],\n [15, -13, -9, 3, -4, -6, -11, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "877", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-14, -13, -2, -1, 4, -3, 1, 4],\n [-12, 3, 10, -1, -1, -7, -13, -14],\n [-9, -7, 6, 14, -11, 1, -13, -7],\n [-8, -7, 8, 1, 8, -8, 5, -2],\n [6, 0, 2, 1, 8, -9, 4, -1],\n [11, 12, -9, -14, 11, -14, -9, 3],\n [-10, 14, 12, -4, -1, -3, -9, -9],\n [-1, 10, -12, -13, -15, -9, -7, -15]]\nB =\n[[-11, -1, -12, -6, -14, 7, -9, 13],\n [8, 3, -10, -1, 4, -4, -5, -13],\n [4, 12, 1, -9, 7, 7, 2, 1],\n [0, 9, -14, -11, 14, 5, -3, 13],\n [-5, 8, -15, 11, 7, -13, 2, 5],\n [-12, 13, -7, -5, 1, -5, -13, 3],\n [4, 7, 5, -5, 10, -2, -10, 3],\n [5, 13, 15, -1, 12, -5, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9570", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[12, 3, -13, -4, -12, 8, -4, 8],\n [-15, 12, 0, 5, 14, -14, 10, 6],\n [-13, 15, 12, 0, 10, -6, 13, 13],\n [-7, -2, 9, -8, -14, -5, -14, 11],\n [-1, 2, -11, 12, 10, 9, -9, 7],\n [3, 3, 10, 0, 3, 1, -3, 12],\n [-8, 12, -5, 2, -5, 7, -7, -2],\n [-14, 13, 1, 5, 0, 10, -11, -15]]\nB =\n[[-7, -13, -2, 2, -4, 7, -2],\n [12, 0, -11, 4, 4, -1, -7],\n [9, 1, -4, -3, -6, -9, 11],\n [8, 5, -9, -8, 8, -1, 9],\n [5, 2, 6, -15, -6, 6, 3],\n [13, -13, -9, -12, -11, 15, -10],\n [12, -6, -4, -2, 6, -14, -13],\n [-15, -13, 8, -1, 0, 4, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9309", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 0, 14, -1, -9, 9, -11],\n [13, -11, 12, 5, 10, -7, 7],\n [-2, 3, 14, 2, -7, -13, 13],\n [-5, 8, -1, 12, -12, 5, 8],\n [-11, 10, 2, 6, 7, -4, -15],\n [10, 9, 6, 4, -14, -7, 6],\n [9, 2, -11, 6, -2, -5, 5]]\nB =\n[[6, -13, -7, -14, -2, 12, -14],\n [5, 11, -6, 3, 13, 13, -14],\n [0, -10, -4, 6, -9, -12, -8],\n [3, -6, -15, -11, -10, 11, 13],\n [3, 2, 3, 3, 7, -15, 11],\n [4, -5, -13, -6, 11, -9, 1],\n [8, 10, 0, -9, -3, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1923", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -8, -3, -5, 9, -15, 9, 1],\n [15, 3, -3, 7, -1, 13, 8, -4],\n [5, 1, -13, -9, -14, -14, 9, -10],\n [-12, 0, -1, -6, -2, -7, -1, -9],\n [-9, -8, 3, 2, 1, 2, 3, 5],\n [-8, -3, 11, -5, 13, 3, -9, 11],\n [11, -11, -11, 14, -8, -6, -11, 10]]\nB =\n[[-1, 7, 0, 13, 12, -6, 8, -8],\n [3, -12, -2, 13, -8, 5, -2, -4],\n [-15, 7, 3, 2, -4, -6, 5, -15],\n [-2, -7, 10, 14, -1, 5, 6, 7],\n [-2, -7, -5, -11, -4, 0, 4, 12],\n [-13, -11, 14, 10, 10, 13, 3, -11],\n [8, 2, 13, -12, 8, -1, 14, -11],\n [-8, 0, 6, -15, -11, 10, 15, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "189", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 7, 14, -6, -12, 2, 1, 5],\n [11, 10, -3, -8, -8, -4, 13, 10],\n [2, -10, -9, 10, 1, -11, 6, 7],\n [11, 9, 3, -8, 10, 3, 11, 9],\n [-8, 9, 5, 11, 9, 13, 3, -9],\n [-13, -10, -8, 2, -1, 8, 1, -12],\n [-9, 14, 1, 6, 10, -10, 14, -3],\n [-9, -7, 7, 3, 4, -3, -1, 1]]\nB =\n[[-11, 7, 3, -10, -4, -1, -1, -13],\n [-12, -11, -10, -10, 1, 12, -8, 3],\n [4, 8, 15, 5, 6, -3, 13, -1],\n [1, 8, 5, 1, 7, 15, -14, 12],\n [6, 14, -13, 6, -7, -10, -15, 6],\n [3, -12, -3, 4, 9, -8, 7, -11],\n [-6, 11, 4, 13, 3, -4, -15, -7],\n [15, 8, 0, 1, 2, -2, 1, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "385", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, 9, 5, -1, 3, -14, 12],\n [14, 8, 8, 15, 15, -2, 6],\n [-14, 11, -1, -15, 6, -15, -4],\n [6, -1, 10, 2, -1, -9, -4],\n [-6, -14, -14, -10, 4, -10, 12],\n [8, 11, -6, -13, 0, -11, -11],\n [-6, 9, 7, -3, 9, 8, -13]]\nB =\n[[2, 15, 3, -10, 11, 12, 10],\n [4, 11, -15, -6, -6, 13, 9],\n [6, -15, 3, -5, 11, -3, 1],\n [12, 9, 4, 2, -12, -1, -14],\n [-10, 6, 15, 11, 7, -7, -5],\n [9, 4, 0, 9, -8, 12, 1],\n [15, 7, 7, 15, 10, -12, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9275", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 11, -5, -5, 10, 10, 5, 5],\n [-1, -11, -10, 7, -11, -7, 14, 12],\n [-5, 9, 14, 7, 10, -13, 4, -12],\n [7, -1, 2, 11, -11, -5, -5, -12],\n [0, 10, -5, 9, -15, 15, 10, -3],\n [14, 3, -10, 11, 4, 3, -10, -3],\n [-5, 3, -9, -4, 0, -15, 9, -1]]\nB =\n[[-3, -6, 2, -12, 6, -10, 11, -8],\n [8, 4, 6, -7, 7, 13, -8, 8],\n [2, -9, 3, 7, 2, -15, -5, -7],\n [-6, -6, -15, 11, 1, 11, -4, -4],\n [3, 1, -9, 7, -5, 8, -14, 0],\n [7, -7, 14, 11, -6, 5, -6, 14],\n [-13, 9, 1, 12, -2, 3, 2, 2],\n [-2, -13, -6, 7, -3, 6, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1137", "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, 13, 11, -6, 14, 3, 0],\n [13, 5, 15, 9, -13, -4, -8],\n [9, 11, -1, -5, 7, -3, -10],\n [-3, -5, -10, -10, -11, -9, 7],\n [7, 3, -5, -10, 9, -7, 4],\n [9, 2, -8, 2, -11, -10, -14],\n [9, 6, 8, -12, 3, -12, 0]]\nB =\n[[-15, 0, -15, 8, 1, -11, 10],\n [0, 9, -13, -6, 2, 5, 12],\n [14, 2, 10, 1, -5, -7, -5],\n [10, 11, -7, 1, 4, -11, -4],\n [2, 11, 9, 9, 0, -7, -8],\n [-10, 1, -2, 10, 5, 8, 12],\n [-2, -12, -8, 6, 1, -15, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5666", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, 4, -13, -9, -5, 9, -1],\n [-9, 11, -11, 1, -11, -15, 6],\n [13, 8, -9, 1, -8, -4, 14],\n [14, 14, 9, 12, 10, 14, -14],\n [1, 6, 12, 4, -2, 7, -13],\n [3, -2, -8, -9, -11, -13, -15],\n [11, 3, -1, 9, -15, 15, -11],\n [4, -5, -2, 6, 2, 4, -7]]\nB =\n[[14, -1, -5, -11, -1, 8, -14, -4],\n [11, 9, 12, 7, -9, -14, -8, -7],\n [10, 11, 12, -11, -1, 3, 14, 3],\n [-3, -3, -10, 14, -15, -6, 11, 9],\n [-10, 9, -13, 10, -3, 3, -6, -3],\n [-9, -1, 7, -12, -5, 15, 14, -8],\n [11, 14, -14, -15, -15, 0, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[11, 6, -8, 3, -4, -10, 8],\n [9, 0, -8, -9, 4, -13, 7],\n [-15, 7, -10, -13, 14, 3, -14],\n [1, 0, 11, 5, 13, -9, 7],\n [-10, -5, -1, 10, 6, -5, -9],\n [-1, 0, -8, -11, 1, 7, -14],\n [11, 15, 5, -9, 7, 9, 5]]\nB =\n[[-10, 10, 14, -4, 0, -5, 6],\n [1, -6, 7, 0, 0, -1, 10],\n [-1, 7, 4, -12, 11, 6, -13],\n [-2, 14, 15, -6, -10, 11, -5],\n [-12, -6, 0, 8, 5, 13, -8],\n [-7, -12, 1, -6, 7, -3, 7],\n [5, 5, 1, 15, 3, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-270", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 12, -12, 14, 7, 9, -10],\n [-2, -7, -10, -6, 9, -10, 14],\n [-7, -3, 0, 14, 0, 3, -11],\n [-5, 5, -1, 13, 10, 14, -8],\n [-1, -5, 13, -3, 11, 7, -14],\n [11, -14, 7, 10, -4, 10, 4],\n [6, -7, 10, 11, 4, -1, -9]]\nB =\n[[9, -2, 1, 10, 11, -14, 13],\n [-7, -3, -11, -12, 7, 5, -15],\n [-7, 8, 0, 3, 10, -13, -13],\n [-9, 2, 9, 4, -9, 8, 0],\n [5, 8, -12, -3, -6, -14, 3],\n [-2, -10, 10, -3, 6, 12, 15],\n [-4, -4, 14, 7, -4, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1186", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[-12, -3, -8, 8, 11, 7, -13, -2],\n [3, 2, -5, -3, 7, 14, -10, 12],\n [7, 2, 4, -15, -14, -9, -11, 10],\n [3, -14, -13, 4, -6, -6, 5, -8],\n [-7, -14, 12, -13, 0, -12, 7, 14],\n [-10, -3, -10, -6, 7, 1, -8, -7],\n [-14, 1, 4, -5, 2, 6, -13, -7]]\nB =\n[[-8, 13, -9, 11, -9, 7, 5],\n [-8, 4, -11, -13, 3, -14, -2],\n [5, 12, -14, -6, 4, -6, 12],\n [1, -14, 11, -15, 2, -12, -15],\n [6, 1, -13, -14, 2, -12, 9],\n [-13, -4, 6, 0, 12, -5, -6],\n [3, -6, 5, 9, -13, 8, -10],\n [-2, 15, -4, -8, -14, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-345", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-15, -13, 4, -10, 11, 4, -3, -5],\n [-1, 2, 3, 3, -10, -1, 5, -2],\n [-11, 14, -5, 4, -3, -3, -12, -7],\n [7, 13, -3, 12, -8, 4, -5, 15],\n [3, -15, -7, 9, -14, -12, 13, -12],\n [12, -15, 12, 2, -2, -3, -8, -10],\n [1, 7, -5, -1, -9, 6, 13, 14],\n [11, -8, -5, 12, 5, -14, 4, -5]]\nB =\n[[-2, 8, -3, -8, -4, 5, 6],\n [-7, 10, 10, -6, -5, -5, 0],\n [2, 5, -7, -13, 6, -12, 4],\n [3, -6, -3, -15, -4, -5, 8],\n [-11, -14, 1, 1, 4, -1, -12],\n [6, -5, 7, -15, -6, 2, -1],\n [3, 9, -12, -10, -14, -3, 11],\n [-14, -3, -1, 13, 2, -5, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "771", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 4) when matrix A is multiplied by matrix B?\nA =\n[[13, 9, -2, 6, 0, -2, -7],\n [-10, -7, 13, -11, -5, -4, 1],\n [-10, 4, 9, -10, -1, 15, 1],\n [6, -13, 3, 7, -14, -7, -7],\n [-9, 9, 0, 11, -10, -7, 10],\n [-3, -14, -2, -11, -5, -1, -10],\n [12, -10, 0, 11, 4, 13, -12],\n [-11, -10, 12, -3, -2, 8, 12]]\nB =\n[[-3, -6, 1, 8, 2, 11, 15],\n [-9, -12, 15, 8, 6, 5, 0],\n [-6, 10, 14, 5, 4, 14, 3],\n [-13, 14, 3, 7, 8, -3, -8],\n [2, 14, 3, 2, 6, 11, 3],\n [6, -12, -3, -4, -1, 10, -1],\n [-6, 6, 13, 3, 5, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 3) of the result:\nA =\n[[9, 15, -7, 13, -9, -8, -7],\n [1, -1, 0, -9, -6, 3, -10],\n [9, -4, -1, -6, 11, 8, 2],\n [-12, 14, -5, -11, -3, -6, 6],\n [13, -9, -5, -12, -12, -11, 9],\n [-7, 14, -15, 13, 0, -11, -11],\n [-9, -8, 3, -15, 2, 6, -5],\n [14, 6, 11, 13, 0, 5, -5]]\nB =\n[[5, -7, 11, 15, -9, 6, -1, -5],\n [7, 3, 13, -9, 0, -13, 0, -8],\n [10, -6, -7, -13, -9, -8, -13, 0],\n [6, 13, -2, -9, -12, -10, -9, -4],\n [-9, 11, -15, 2, -5, -5, 1, 9],\n [-4, 7, 11, 7, 3, 5, 2, 5],\n [8, -3, -6, 3, -12, 8, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-15, 3, -14, -6, 14, 15, 2],\n [-12, 13, 13, 6, -6, 10, 5],\n [-12, 8, 11, 5, 2, 4, 7],\n [-12, -1, 6, 2, -7, 4, 13],\n [1, 14, -13, -3, 14, -9, -2],\n [14, 10, 9, -10, -2, -2, 13],\n [-2, 4, 2, -7, -4, -2, 8],\n [7, 0, -14, 0, 2, 8, -7]]\nB =\n[[9, -8, -15, -11, -9, -6, 6],\n [-5, -4, -15, 10, 15, -10, -12],\n [-13, -12, 8, 11, -10, 9, -11],\n [11, -7, -12, -2, -1, 12, -12],\n [6, -2, 13, -6, 11, -9, 14],\n [2, 4, -1, 13, -8, -7, -11],\n [-10, 10, -4, -9, -9, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10395", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 2, -6, -8, 9, -5, -8],\n [-8, -1, -14, 11, 4, 6, 8],\n [-3, 2, -4, -8, 1, 11, -10],\n [0, 8, 8, 12, 11, 7, 7],\n [-2, 11, -6, 11, 12, 9, -14],\n [-3, -15, 12, 2, 14, -2, -13],\n [-1, -7, 10, -3, 7, -11, -11],\n [6, -14, -15, 11, 1, 3, 1]]\nB =\n[[-7, -6, 13, -1, -3, 13, 15, 5],\n [9, 5, 1, 11, 12, 7, -9, -12],\n [-13, -15, -9, -11, 10, 1, 1, -1],\n [-13, -13, -14, -8, -3, 12, 8, -10],\n [-11, -3, 14, 6, -15, 2, -9, 1],\n [-8, 3, 0, -2, 4, 7, -6, 7],\n [-14, 5, 8, 0, 9, -3, -11, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9150", "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, -11, 6, 12, 6, -3, 12],\n [-15, -10, -5, -6, -15, 0, -3, 5],\n [11, 0, -1, -9, -2, 14, 8, -5],\n [11, -3, -11, 2, -13, -4, -9, 10],\n [4, -1, -15, 3, -6, -2, -1, -14],\n [9, 1, 9, 15, -6, -11, 12, -10],\n [-10, 12, -10, 9, -2, -3, -3, 9],\n [11, -6, 0, -9, -13, -1, 7, -11]]\nB =\n[[9, -8, 10, 12, 6, -11, 10, -14],\n [11, 12, 3, -5, -5, -13, -3, 4],\n [3, 7, 13, -1, -10, -3, 8, 2],\n [2, -15, 5, 7, 9, 5, 11, -5],\n [0, -15, 3, -8, 3, 7, 0, 10],\n [-13, -14, -4, 13, -6, 14, 6, -14],\n [10, 14, 5, -11, -11, -10, -13, -6],\n [-11, 8, 4, 14, -11, 15, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11099", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 8, 2, 10, -6, 7, -9],\n [-5, -2, -7, 1, -14, 14, 1],\n [1, 11, 4, 8, -6, 8, -4],\n [-4, 11, -1, -7, 2, 0, 13],\n [-9, 12, -2, -12, -13, -4, 0],\n [-12, -12, -13, -7, 8, -2, -4],\n [-6, -2, -4, -4, -14, 3, -3]]\nB =\n[[-6, 7, 5, -15, -15, 12, -8, -10],\n [4, -13, -3, 9, 9, -4, 4, 0],\n [-5, 8, -12, -8, -9, 0, 14, -4],\n [-10, 7, -10, -5, -4, 0, 6, 0],\n [14, 7, 0, -12, -4, -11, -7, 2],\n [-7, 0, 5, 10, -15, 11, 7, -11],\n [3, -13, -15, 7, -2, 2, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2329", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[4, 4, -3, 11, 5, 0, -7],\n [15, -9, -13, 4, 9, -15, 8],\n [-8, -2, -3, -9, -3, 6, -9],\n [10, 4, 4, -11, -12, -12, 9],\n [-10, -2, -13, -13, 10, 8, -13],\n [14, -12, 6, -7, 6, 0, 3],\n [0, -4, -10, 4, 5, 15, 14],\n [5, -13, 5, 12, 12, -11, -9]]\nB =\n[[9, -11, -7, -1, 5, 4, -10],\n [-8, 4, -11, 10, 1, -6, 12],\n [15, -15, 14, 0, 8, 7, 5],\n [9, -15, 15, -13, -10, 1, 14],\n [12, 6, -14, 10, 14, -11, -5],\n [-6, -1, 2, 1, -2, 12, 14],\n [14, 12, -3, 4, -14, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1193", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 6) of the product of the following matrices:\nA =\n[[11, -5, 3, -4, 9, -12, -6],\n [-4, -9, 7, -10, -8, 11, -5],\n [-10, 9, 5, 11, -13, 5, 4],\n [3, -15, 8, 15, -12, 12, 3],\n [12, 4, 1, 12, 6, 3, 8],\n [11, -2, 15, 14, 14, 13, -6],\n [5, -7, 9, 0, -1, 11, 0],\n [2, 5, 7, 7, -6, -13, -9]]\nB =\n[[-9, 4, -5, 7, 8, -13, 2],\n [9, 12, -4, 7, 1, 10, 10],\n [-7, -11, 2, 7, -7, -3, -13],\n [-12, 9, 15, 2, 4, 5, -1],\n [4, 7, -10, -7, -5, 13, 15],\n [13, -3, -12, 11, -1, 9, 1],\n [-4, -10, -9, 9, 1, -5, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[12, -3, -15, 2, 6, 3, -5, 15],\n [14, 6, 2, 13, -6, -10, 7, 6],\n [-14, -11, -6, -1, 13, -2, -10, -2],\n [8, 9, 5, -2, -4, 7, -12, 10],\n [-4, 5, 1, 13, 3, 0, 2, -10],\n [-7, 10, 3, -4, -5, 12, 0, -14],\n [2, 14, -10, 10, 6, -11, -7, -3],\n [-9, 7, 11, 15, -15, -6, 10, 2]]\nB =\n[[-4, -13, -11, -2, 11, -1, -4],\n [-12, 8, 0, -5, -12, -10, 9],\n [0, -14, -3, -8, -4, 5, 10],\n [-10, -13, -1, -8, 14, -14, 0],\n [-3, -15, -5, 12, -15, -8, -14],\n [-3, 13, 5, -14, 11, -12, 9],\n [-14, -3, -12, 13, 10, 5, 10],\n [-1, 13, 10, 5, -4, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[13, -6, 10, -14, -8, 11, -11, 6],\n [-8, 8, -3, 13, -3, 10, 15, 7],\n [-1, -1, 8, 10, -5, 7, -6, -10],\n [-11, -11, 15, -8, -15, -14, 1, 13],\n [10, -9, 13, 9, 7, -7, -12, -9],\n [12, -6, 0, -6, -9, 10, 10, -14],\n [-14, -8, -2, 2, -15, 1, 1, 6],\n [-11, 0, -9, -1, 3, 5, -14, 11]]\nB =\n[[0, 9, -7, 4, 2, -6, 8],\n [4, 5, -12, 14, -14, 14, -2],\n [6, -15, 12, -8, -5, -15, -11],\n [9, -3, 1, -6, 7, 14, -9],\n [-3, 5, -12, 9, 5, -3, -15],\n [9, -5, 12, 5, -7, -3, -5],\n [11, -8, 13, 12, 10, -9, 13],\n [11, 12, 6, 9, 15, 14, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-598", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[4, -1, -1, 5, -4, 1, 7, -10],\n [-3, 0, 11, 7, -15, -3, -9, -3],\n [-9, -8, 2, 1, 0, 12, 1, -8],\n [-9, 9, 2, 15, -12, 8, 6, -14],\n [0, 10, 2, 7, 9, -8, -2, 2],\n [3, 8, -12, 6, 12, -2, -14, 14],\n [1, -10, 15, -8, 13, 0, 15, 5]]\nB =\n[[-15, 10, 2, -13, 13, 13, 12],\n [2, 9, -6, -14, 3, 14, 14],\n [9, -5, 3, 8, 8, 11, 14],\n [-13, -6, 0, 14, 14, 12, 10],\n [-13, 8, 3, 4, 5, -9, 1],\n [-8, -13, -9, 11, -6, 11, 3],\n [9, -1, 10, -1, -11, -13, -13],\n [13, -12, -1, 0, -11, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 6, 5, -14, -2, -11, -9, -5],\n [-13, 14, -4, -2, 7, 13, -15, 13],\n [6, 0, -1, -15, 15, 7, 6, -3],\n [10, 11, -1, 15, 1, -7, -11, 11],\n [7, -4, 1, -5, -5, 8, -8, -1],\n [9, -14, 6, -6, 5, 15, 6, -2],\n [-11, 11, 15, 1, 2, 3, -9, 10],\n [9, 2, -4, -1, 13, -2, -6, 1]]\nB =\n[[15, -15, -12, -7, -12, 3, 10],\n [8, 9, -11, 2, -1, 4, 10],\n [-8, -14, 9, -3, 11, -3, 14],\n [12, -2, -1, 13, 5, -4, 15],\n [7, -11, -13, 2, -13, -2, -14],\n [2, -3, -14, -4, 11, -14, -8],\n [13, -11, 13, 9, -5, -3, 15],\n [12, 5, 1, 8, 0, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3430", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[11, 10, -1, 2, 13, -10, -12],\n [-12, 14, -3, -7, -6, -2, 12],\n [-8, -13, -7, 13, -15, -1, -1],\n [12, 14, -9, -1, -9, -3, -4],\n [2, -9, -9, -1, -7, -10, 10],\n [11, 10, -7, 3, 8, 4, 14],\n [0, 0, 11, -15, 7, -3, 3]]\nB =\n[[-12, 3, 6, -6, -3, -15, -3, -6],\n [-1, 13, -1, -9, 10, -2, -8, 3],\n [9, 2, -1, 10, 11, 10, -7, -4],\n [5, 6, -2, -14, -11, 6, -11, -2],\n [-12, 8, -14, 15, -15, -14, -3, 11],\n [4, 1, 9, -3, 1, -11, 8, 9],\n [9, -8, 6, 6, 13, -4, -7, 2]]\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 sum of absolute values of all entries of the result:\nA =\n[[0, 3, 6, -8, -9, 8, 5, -7],\n [6, -4, -2, -6, 0, 13, -14, -10],\n [-5, -12, -11, -11, 1, 10, -11, 10],\n [-5, -7, -1, 8, 8, -13, 0, -7],\n [9, 10, 15, 7, -10, -7, 11, 6],\n [3, 15, -10, -5, -14, 2, 12, -9],\n [8, 7, 5, -12, 8, 12, 9, -9],\n [1, -12, -3, 4, 10, 3, -12, 9]]\nB =\n[[-3, -15, 15, -14, -9, 14, 9, 7],\n [14, 1, 13, -9, 6, -3, 1, -15],\n [12, -14, -10, -4, -3, 4, 4, 6],\n [-7, 1, 14, 2, -8, -8, 11, -5],\n [6, 6, 12, -8, 2, 2, -3, -15],\n [-1, 6, 15, -10, 14, -10, -3, 11],\n [-14, 7, 3, 1, -15, -2, 0, -1],\n [-7, 3, -8, -1, -6, 7, 13, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9114", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 6) when matrix A is multiplied by matrix B?\nA =\n[[2, 4, -14, 5, -4, -6, -4, -9],\n [-14, 9, -15, -14, 7, 12, 5, 1],\n [4, -8, 5, -4, -14, -7, 1, 1],\n [-6, -3, -11, -2, -2, -1, 9, 6],\n [15, -11, 6, -10, -7, 13, 15, -7],\n [5, -12, -15, 6, 7, 7, -1, -2],\n [-15, -10, -8, -13, 1, 13, 7, 4]]\nB =\n[[12, -11, 2, -9, 14, 1, -1],\n [4, 8, 0, -3, 12, -9, -1],\n [7, 7, 12, 15, -11, 11, -4],\n [12, -6, 3, -6, 13, -9, 8],\n [7, 6, -1, -7, 13, 11, -10],\n [5, -5, -10, 10, 4, 13, -1],\n [-3, -10, 4, 5, -1, 13, -10],\n [0, -15, 14, -10, 0, 6, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 2) when matrix A is multiplied by matrix B?\nA =\n[[-9, 12, -6, 5, -8, 14, 5, 10],\n [-11, 2, -12, 4, 0, -6, 10, 0],\n [-8, 3, -15, 7, -7, -10, -3, -3],\n [2, -2, -14, 0, 1, 6, 0, -2],\n [-3, 0, 8, 15, -15, 12, 1, -15],\n [-6, -11, -9, -12, -15, -15, -6, 14],\n [-13, -11, -3, 5, 9, -7, 9, -8]]\nB =\n[[14, -5, 9, 8, 13, -2, -8, 8],\n [8, 5, -6, -13, -12, 9, 7, -4],\n [-7, -5, -5, 0, -3, 11, 14, -2],\n [-9, -4, 8, 12, 3, -8, -12, 6],\n [1, -14, 7, 6, -3, 10, 12, 5],\n [-9, 2, -6, -12, 5, -8, 6, 6],\n [5, 10, -3, 15, -2, 5, 1, -4],\n [14, -12, -7, -1, -1, 2, 11, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "339", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 8) of the product matrix AB given:\nA =\n[[-14, -7, -11, 9, -4, 13, 10],\n [-11, -4, 9, -1, -14, -5, 7],\n [8, 3, 1, 2, 15, 15, -6],\n [-11, 15, 14, 9, 5, 1, 12],\n [-15, -3, -14, 1, -1, -8, -14],\n [12, 11, -8, 11, -11, 1, -12],\n [-4, 2, -10, 15, -11, 12, 9],\n [12, 3, -11, -6, 7, 9, 3]]\nB =\n[[-12, -3, -3, 1, 2, 3, 14, 10],\n [7, 7, 1, 9, -13, -3, -3, -13],\n [-14, -1, -13, 6, 0, 13, -6, 4],\n [-14, -1, -8, -3, -15, 10, 15, 8],\n [-14, -7, 13, 4, 4, 7, 3, -4],\n [-4, -6, 3, 4, -6, 3, 10, 8],\n [-7, 13, 13, -11, 12, 13, 13, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 3, 6, 11, -12, 7, -2],\n [-10, -3, 12, 15, -9, -4, 12],\n [4, 12, 12, -2, -3, -5, -10],\n [10, -9, -6, 8, 10, -1, -7],\n [-13, -11, 12, -6, -1, -13, 5],\n [2, -13, -9, 14, 8, 5, 15],\n [-2, 0, 3, -12, -13, -13, -7]]\nB =\n[[-12, 6, 3, 8, 12, -5, -1, -12],\n [13, 15, -8, -14, 9, 2, -13, -13],\n [5, 3, 14, -4, 8, -2, 10, 7],\n [11, -3, 0, 1, 6, 2, -3, 13],\n [8, 10, -3, -8, -9, 15, -8, 1],\n [8, -15, -13, -12, 3, 12, -14, 13],\n [-5, 13, -5, 3, 9, 12, -14, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2657", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-11, 3, 13, -7, -9, 10, -4, 12],\n [3, 15, 2, 12, 2, 5, -7, -14],\n [-14, -1, 8, 0, 12, -2, 3, -1],\n [-13, -10, -10, 15, 6, 5, 4, 12],\n [-7, -5, -12, -2, -3, -1, 1, -8],\n [-5, 8, -5, 0, -13, 9, 7, -1],\n [-3, -9, -11, 12, -4, -13, 14, 10]]\nB =\n[[-4, -11, 3, 13, 3, -15, 4],\n [14, 9, -4, 6, 6, -10, 13],\n [5, 2, 5, 0, -5, -6, -13],\n [10, 11, 2, -4, -2, -12, -6],\n [9, -9, 0, 10, -7, 14, -13],\n [-14, 9, -10, -6, -12, -12, -6],\n [-6, -3, -10, -9, 12, 11, 10],\n [-11, -1, 14, -8, -6, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, 14, -15, -12, -8, 11, 8, -10],\n [5, -6, 10, 15, 2, -3, -11, -4],\n [5, 2, -8, -2, -1, 10, -11, -11],\n [15, 12, 1, -3, 1, -5, 15, -15],\n [8, -3, 10, 2, 8, 13, 12, -10],\n [-3, 5, 6, 4, 12, -5, 3, 11],\n [4, -7, -3, -1, 8, -5, 8, 0]]\nB =\n[[15, 1, -11, 6, 14, -2, -1],\n [-7, -2, -6, 10, 6, 15, -3],\n [1, -15, -2, -4, -9, -13, 7],\n [5, -15, 11, 14, 8, -3, 9],\n [6, -14, -7, 2, 6, 10, -12],\n [0, 14, -10, 4, 11, 13, -13],\n [15, 12, -5, 8, 13, -11, -15],\n [-8, 3, -12, -7, -13, 14, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[12, 0, -8, -10, -13, 0, -8],\n [-3, -11, -10, 11, -13, -8, -12],\n [9, 5, 1, 9, -8, 5, 3],\n [13, -2, -7, -4, -3, 7, 12],\n [11, -8, -13, 6, 12, -1, 4],\n [13, 3, -12, -14, -11, 8, 5],\n [-14, -9, 8, -5, -4, -12, -13],\n [15, -8, 10, 2, 7, 10, 8]]\nB =\n[[-11, 0, 7, -4, -7, 13, -8, -11],\n [4, 3, -1, 15, 6, 4, -5, 4],\n [-3, 7, 14, 15, 10, -3, 5, 1],\n [13, 5, 13, 0, 6, 1, 3, 6],\n [-2, 15, 15, 7, -9, 7, -7, -14],\n [3, 7, -10, 14, -15, 10, -9, 0],\n [-14, -12, 7, 4, 6, -2, 13, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11882", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, -11, -13, 6, 4, 9, -14],\n [-6, 5, 13, 9, -6, -9, -1],\n [-11, -8, 2, 4, 13, -10, 7],\n [-5, -8, 13, -12, 9, -9, -14],\n [-1, 14, -7, 7, 5, 3, 9],\n [7, 3, -11, 15, 3, -13, -4],\n [-9, 9, -11, -4, 11, -12, 4]]\nB =\n[[3, -3, -1, 8, -6, 12, -15, -13],\n [2, 0, -4, 0, -5, -5, 12, 7],\n [6, -2, 1, 3, -5, -12, -6, 11],\n [7, 3, -12, 14, -5, -9, 4, -7],\n [12, 15, 6, -14, 11, -15, -8, 11],\n [3, 7, 0, -2, -12, 3, 14, 9],\n [15, 6, 6, -10, -1, -3, 14, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-151", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, -12, -14, -13, -2, 14, -12],\n [0, -5, 13, -3, -15, -3, -1],\n [-9, 12, -11, 12, 11, 9, 14],\n [-10, 14, 8, -7, -10, 13, 7],\n [-10, 6, -14, 15, 5, -10, -6],\n [-11, 4, -4, -10, -10, -8, 8],\n [10, 1, 2, -5, -15, 10, -9]]\nB =\n[[-8, 15, -13, 3, 0, 7, -8],\n [14, 15, 13, -10, 8, -14, 7],\n [-4, 15, 14, 5, -10, -2, -9],\n [-7, -9, 15, -1, -4, 11, 1],\n [-1, -1, 5, 14, 11, -2, -5],\n [-5, 4, -3, -3, 14, -8, -9],\n [4, -3, -5, 3, -10, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[-11, -6, -15, 10, -4, 10, 8],\n [-9, -8, 14, 2, -9, -2, 4],\n [2, 9, 5, 7, -12, -6, -5],\n [-5, 4, 3, -15, 15, -14, -7],\n [1, -11, -14, -12, 11, -9, 5],\n [1, -13, 10, -7, -15, 10, 4],\n [5, 0, 10, -13, 3, 0, -15]]\nB =\n[[15, 6, 13, -4, 4, 8, -10],\n [-13, 12, -9, -13, -3, 0, -2],\n [-7, -8, -1, 3, -3, -2, -5],\n [2, -13, 13, -12, -13, 9, -3],\n [0, 12, -3, 11, -6, 2, -8],\n [-9, 1, 6, -10, -1, -7, 12],\n [-6, 11, -8, -9, 13, 7, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, 0, -1, -6, 13, 12, 5, -15],\n [15, 11, 15, 10, -10, -1, -14, -4],\n [-15, -1, -3, -15, -15, -12, 12, 14],\n [5, -2, 5, 11, 1, -3, -4, 11],\n [-10, 3, 4, 0, 5, 0, -4, 13],\n [4, 4, 10, -3, -15, 2, -14, -14],\n [10, -15, -6, 14, 8, -15, -2, -8]]\nB =\n[[-15, -2, -6, 3, 9, -8, -14],\n [15, 15, -12, 8, -4, 13, 15],\n [-7, 7, -15, -8, 14, 12, 1],\n [0, -1, -7, -8, 4, 10, -2],\n [-4, 11, -1, 15, -12, 14, -12],\n [6, 15, -14, -12, 4, 8, 2],\n [-1, -8, 12, -6, 11, -14, 9],\n [-7, 0, 6, 10, -4, -11, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "626", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -3, -8, 8, 3, 3, -11, 5],\n [2, 5, 1, 11, -9, -2, -1, 11],\n [7, 1, -13, 8, -3, -5, 9, -13],\n [14, -10, -10, 15, 6, 5, -10, -10],\n [10, -10, 13, 8, -2, -5, 0, 6],\n [12, 3, -9, -10, 14, -5, 9, -12],\n [-15, 6, -7, -3, -8, -14, 0, 3],\n [-8, -4, -5, -7, 8, 15, -6, -15]]\nB =\n[[3, 13, 11, 8, 1, 12, 7],\n [-12, -4, 7, 4, -8, 12, 6],\n [10, 10, 13, 0, 8, 12, -15],\n [-7, -5, -4, 15, 15, -7, -10],\n [13, -7, -10, -10, 13, 4, -13],\n [-13, 0, -14, -12, -7, -9, -13],\n [8, 14, -3, -2, 13, -7, -15],\n [-4, -15, -7, 9, -9, -13, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1210", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, 15, 9, -1, 8, 8, -15],\n [-10, 6, 15, -11, -5, 1, -13],\n [-4, 4, 14, -6, -9, -1, 5],\n [2, 3, 13, 14, -15, 14, 6],\n [-3, 13, 8, -12, 2, -4, -12],\n [10, -12, -11, 3, -7, -9, 9],\n [15, -9, -4, -6, 13, 4, 5]]\nB =\n[[-3, 7, 15, -10, 15, -7, 3, 8],\n [0, 11, 10, -5, -12, 9, -15, 5],\n [-4, -12, -11, -10, -2, 13, -15, -8],\n [-1, -4, 11, 3, 7, -9, -7, -5],\n [11, 7, 12, -8, -12, -6, 4, -6],\n [-8, -2, -12, 13, 4, 10, -13, 12],\n [-13, 11, -12, -4, 13, 14, 2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2292", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -5, 12, 2, -2, -5, -2],\n [6, 13, -13, -14, -7, -8, -11],\n [13, -7, -11, 5, -3, -5, -5],\n [4, -4, 3, -3, 10, -7, -12],\n [-9, 15, -11, -9, 12, -8, -2],\n [8, -6, -10, -11, -1, 0, 11],\n [-14, 12, -1, -8, 5, 8, 6],\n [8, -3, 1, -1, 9, -2, 9]]\nB =\n[[3, -3, 5, 12, -9, -8, 15],\n [-9, 3, 15, -1, -9, 1, 5],\n [9, 2, 3, 9, -13, 8, 6],\n [-9, 5, -6, 12, -9, 10, -5],\n [10, 13, -13, 15, 11, 5, 6],\n [-7, -12, -8, 14, 15, 14, 8],\n [10, 15, 15, 6, -4, 15, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7739", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-1, 12, -2, -11, 1, 4, -5],\n [6, -1, 9, -3, 14, -12, 6],\n [-3, 10, -3, -5, -11, 9, 10],\n [-2, 6, -13, 2, -13, -10, 10],\n [-8, 8, 12, 5, 1, -15, 12],\n [-9, 2, 13, -12, -6, -11, -8],\n [10, 9, -3, 1, 9, 5, -12]]\nB =\n[[-6, 5, 14, 9, -8, -6, -3],\n [-4, 5, -3, 11, 14, -6, 5],\n [-15, -7, -13, 1, 5, -6, 3],\n [-10, -9, -5, 0, -12, -12, 2],\n [2, -9, -5, -11, 5, 12, 2],\n [-9, -14, 13, 12, -11, -11, 3],\n [-14, 3, 11, -11, -4, -3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "853", "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, -9, -14, 14, 6, -2, 9],\n [10, -11, 4, 14, 9, 6, -4],\n [15, -12, 15, 1, 0, 9, -6],\n [-13, 6, -15, -10, -13, 3, 11],\n [-9, 11, -7, 6, -4, 14, -2],\n [-15, 9, -3, 5, -14, -13, -5],\n [-11, 12, -14, -2, 12, -3, -2]]\nB =\n[[12, -13, -8, -3, 6, -4, 2],\n [2, 1, -9, 6, -3, -3, -10],\n [5, 3, 8, 3, 5, 8, 14],\n [12, 0, -13, -2, 5, 11, -10],\n [1, 0, -14, 7, -7, -3, -2],\n [10, 4, 5, -4, 4, -5, 3],\n [-6, 2, 14, -13, 0, 15, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7812", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 8, 1, -11, 1, 5, -2],\n [-13, 15, 9, -1, -4, 1, 10],\n [1, 8, 3, 11, -9, 10, -11],\n [-14, 0, 14, -3, -5, -9, 7],\n [-13, -10, -11, -15, -15, 2, 7],\n [-13, 9, 3, -6, 4, -5, -8],\n [4, 7, -5, -11, 6, 8, -12]]\nB =\n[[-3, -10, 13, 10, -14, 9, 12, 9],\n [15, 12, 10, 10, -10, 6, -6, 7],\n [-12, 0, 7, 15, -6, -15, -3, -2],\n [7, -4, -3, -15, 11, -2, -8, 10],\n [6, -2, 14, -15, 11, 12, 1, 0],\n [-4, 13, 13, 4, 7, -11, 5, 8],\n [2, -12, 4, -5, -8, 6, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 9, 4, -6, -9, 3, 6, 13],\n [-15, -11, -10, -4, 12, -4, 5, -2],\n [-9, 12, 4, 5, 4, -2, 0, -7],\n [-14, 1, 15, -12, -2, -2, 12, -1],\n [15, 12, -4, -3, 6, -6, 0, 13],\n [13, 14, -1, -8, -12, -15, -2, -7],\n [3, -10, 0, 10, 14, 8, -5, 5],\n [11, 7, -5, -2, -5, 10, -2, 9]]\nB =\n[[-15, -5, 14, 8, 2, 1, -12, 6],\n [15, -2, -8, -1, 0, -15, -15, -6],\n [-14, 9, -4, -12, 7, 3, 11, -15],\n [-15, -7, 14, 4, -3, -5, 3, 5],\n [1, -13, 4, -3, 12, 6, 9, 3],\n [15, 4, 5, 15, 8, -7, 3, 3],\n [7, 9, -15, 1, -2, -4, -14, 6],\n [-13, 15, 12, 8, -11, -13, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1359", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 2) of the product matrix AB given:\nA =\n[[8, 2, -11, -13, 7, -14, -7, 2],\n [11, -14, 6, 3, -13, 15, 10, 2],\n [-2, -3, 0, 5, 12, -5, 5, 7],\n [8, 8, -4, 14, -13, -10, 15, 0],\n [-4, 5, 4, 10, -10, 4, -2, 8],\n [-7, 1, -4, -15, 4, 6, -8, 15],\n [15, 12, -4, 0, -15, -13, -4, -12]]\nB =\n[[-6, -14, 13, -7, -13, 15, 4, 15],\n [4, -15, -11, -11, -14, -1, -15, 5],\n [-11, -9, -5, 10, -6, -14, 14, 13],\n [12, -2, 8, 5, -11, 15, 0, 9],\n [15, -14, -6, 15, 11, 2, -11, 1],\n [-5, -11, 5, 8, -10, 11, 6, 0],\n [-11, 5, 8, 14, 0, 1, -7, 6],\n [9, -14, 3, 1, -11, -14, -5, -15]]\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[[-7, 11, 9, -10, -5, 11, -8, -3],\n [15, 11, 15, -4, -7, -1, -11, -1],\n [-14, -1, 15, 4, -13, -6, -9, -6],\n [10, -6, -8, -3, 5, -14, -4, -7],\n [14, -15, 5, -4, -4, -13, 8, -8],\n [-3, 12, 12, 1, 4, 12, 15, -6],\n [-1, 8, 9, -7, 2, 9, -8, 11]]\nB =\n[[-2, -5, -3, 0, -2, -7, -7, 3],\n [-11, -1, 13, -5, 3, -10, -6, 0],\n [13, -11, 2, 3, 7, -6, -6, -4],\n [5, -13, -12, 6, 8, -4, -9, -4],\n [-13, 2, 3, -11, -2, 7, 14, -8],\n [6, -1, 0, 13, 2, -5, -14, -6],\n [-5, -11, 11, 14, 5, 1, -15, 9],\n [-2, -1, -9, -8, 12, 0, -3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "194", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-13, -3, 3, -4, 3, 1, -5, 11],\n [-13, 13, -14, 8, 10, -2, 10, 6],\n [5, 1, -14, 2, 7, -1, -4, 0],\n [0, -9, -10, -2, -8, 4, 9, 8],\n [3, 3, 12, -4, -7, -7, 13, 11],\n [-11, 10, 14, -2, -15, -13, -5, 5],\n [-12, 4, -15, 15, -10, 12, -6, 11],\n [-12, 1, 10, 14, 6, 5, -11, -14]]\nB =\n[[-15, 0, -9, 5, -13, -2, 6, 3],\n [0, 6, -10, 14, 9, 8, -15, -9],\n [-5, 9, 2, -7, 6, -13, 8, 7],\n [12, -8, -8, 7, -15, 13, -6, -1],\n [-6, 10, -8, 5, 13, -14, 2, -14],\n [9, 14, 5, 3, 15, 6, -7, 11],\n [9, 9, 11, -6, 14, 11, -12, 5],\n [12, 14, -15, -5, 10, 6, -14, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-534", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[15, -12, -1, 4, 9, -3, -15],\n [6, -14, -10, -9, 3, -12, 2],\n [7, -7, 5, -5, -11, 9, 8],\n [-15, -14, 7, -13, 6, 1, 8],\n [-14, -15, -14, -8, -3, 10, -2],\n [5, -4, -7, 12, 3, 8, 4],\n [-9, 10, -6, 8, -13, 3, 1]]\nB =\n[[-8, 15, 2, -9, 15, 11, -9],\n [14, 7, 4, 7, 10, 0, -1],\n [-2, 0, 15, 11, 15, 8, -7],\n [7, 6, 5, 15, -6, -1, 10],\n [7, -6, -14, -11, 13, -8, -10],\n [-10, -15, 0, 2, -13, -9, -4],\n [-6, 6, 5, 9, -6, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9135", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, -5, 3, 11, -8, 12, 9, 2],\n [-12, -14, -3, 7, -2, 4, 14, 12],\n [6, 8, -1, 14, -3, -10, 4, -10],\n [-15, -1, -10, 11, -1, -1, -2, -6],\n [13, 11, -8, -12, 9, 6, -10, 4],\n [8, 5, 12, 1, 7, 8, 6, -9],\n [-4, 7, -12, -2, -12, 14, 0, 12],\n [15, -15, 2, 3, 5, 15, -6, 9]]\nB =\n[[-11, -3, -10, 14, 7, -12, 0, -8],\n [0, -5, 6, 11, -15, 6, 2, -12],\n [-5, 4, -6, 0, 13, -6, -11, 10],\n [12, 2, 6, -5, -13, -7, -1, 6],\n [3, 3, -11, -10, -12, -4, -11, -13],\n [-6, -3, -12, 8, -8, -15, 4, -14],\n [-12, 5, -15, 12, 5, -9, -11, 7],\n [-3, 9, -3, -8, 1, 14, 15, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2398", "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, -14, -10, 5, -15, 14, 2, -13],\n [10, 5, -9, 0, 6, -13, -10, -12],\n [0, -13, -12, -5, 8, 1, 3, 10],\n [15, 12, -8, 12, -2, 10, 0, 9],\n [3, 0, 9, -6, -1, 11, 10, -12],\n [12, -12, 13, -3, -4, -1, 13, 7],\n [-3, -10, 10, -2, 15, -13, -8, -4],\n [14, -2, -11, -14, -6, 14, -13, 7]]\nB =\n[[-6, -7, 1, 12, -10, 11, 14, -7],\n [7, -13, -9, -4, 2, -6, -14, 1],\n [15, -13, -15, -8, -3, -5, -8, 4],\n [15, -15, -14, 2, 2, -7, -9, -7],\n [-6, 10, -14, -11, 1, -14, 4, -6],\n [15, -15, -4, 8, -1, -10, -2, -2],\n [-1, -15, 9, 15, 1, -5, -1, 4],\n [0, 5, 13, 11, -7, 13, -4, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13777", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-14, -1, 12, -7, 12, 0, 14, 1],\n [4, 11, 7, -12, -8, -9, -10, -11],\n [-6, -13, 8, 4, 8, 1, 0, -5],\n [-3, 2, -2, -14, -4, 6, 5, 13],\n [10, -6, 13, -9, -14, 9, 2, 1],\n [0, 14, -14, -5, 3, 15, 15, 14],\n [6, -9, 11, 6, 1, -1, -7, -4],\n [-8, 12, -14, 1, 0, 7, 0, -13]]\nB =\n[[3, 0, 15, -5, 10, -7, -2],\n [-14, 14, -3, -11, 4, -2, -15],\n [-10, 6, -5, 1, 7, 6, -2],\n [-2, 4, -9, 3, 10, 11, 6],\n [-10, 15, -3, -6, 6, 15, 3],\n [15, -6, -11, -3, 1, 6, 7],\n [-11, 5, 13, 6, -9, 4, -9],\n [-1, -1, 5, 7, -15, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8670", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 6) of the product matrix AB given:\nA =\n[[-14, 2, -1, -9, -7, 7, 12, 6],\n [-13, 5, -6, -14, 9, 6, 9, 9],\n [-4, -9, 14, 15, 15, -11, -12, -15],\n [-1, -7, -10, -2, 15, -14, -4, 7],\n [12, -10, -3, -12, 6, 0, 13, -5],\n [-10, -11, -15, 3, -9, 2, -6, -6],\n [1, 8, -9, 6, 10, 5, 6, -15]]\nB =\n[[-4, 9, 15, 1, 0, 4, -1, 13],\n [3, 4, 1, 10, -12, -12, -13, -8],\n [7, -7, -14, 10, 3, 6, 2, 0],\n [13, 12, 12, 2, 10, 2, -4, -14],\n [13, 5, 12, 14, -15, 7, 0, 1],\n [-15, 5, 7, -13, 7, 9, 11, 4],\n [15, 0, 5, -2, 0, 8, -7, 5],\n [12, 5, -14, 9, -3, 6, -11, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 1, -10, 1, 10, -14, -9],\n [13, 1, 8, -8, 7, 7, -15],\n [13, 3, 9, -11, -11, 7, 11],\n [10, 8, 6, 5, -15, 10, -6],\n [-6, 13, 9, 6, -13, 12, -4],\n [10, 15, -4, -9, 0, 4, 13],\n [-13, 12, -9, 6, -2, 11, -12]]\nB =\n[[14, -6, 8, -14, 6, 0, -13],\n [-1, -8, 0, -5, 8, -5, -5],\n [-15, -14, 4, -15, 3, 4, -6],\n [3, 5, -5, -4, -6, -9, 8],\n [-8, -5, 2, 0, -15, 13, 14],\n [-10, 1, 6, -3, 7, 9, -6],\n [15, -6, -15, -9, 4, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10126", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 1) of the product of the following matrices:\nA =\n[[4, -14, -15, 7, -4, -9, 3],\n [-11, 10, -4, -2, 12, -9, -8],\n [-2, -4, -7, -6, -6, -15, 9],\n [6, -10, -2, 7, -7, 7, 7],\n [11, -4, 3, 10, 9, 4, 6],\n [13, 7, 12, 13, -4, 9, -3],\n [13, 10, 12, -13, 14, -5, -14]]\nB =\n[[2, 2, 9, 8, 9, -7, -15, 10],\n [10, 15, 0, 9, -15, 5, 4, 8],\n [-11, 12, 9, 1, -8, -10, -15, -3],\n [2, -12, -1, -2, 0, -11, 14, -15],\n [10, 7, 13, -12, 14, 14, 14, 1],\n [12, -10, 9, 9, 11, -12, -9, 10],\n [-15, -6, -3, -7, -2, -15, 14, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "258", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -6, -5, -9, 4, 9, 12],\n [6, -4, 6, -4, -2, -6, 0],\n [6, -12, 13, 7, -2, -14, -14],\n [13, -5, -5, -10, 9, -13, 7],\n [-7, 15, 12, 9, -13, -15, -14],\n [-1, -5, -8, 0, 7, 1, -13],\n [-8, -9, 5, -13, -9, -11, -15],\n [-11, -13, 2, 13, 3, -6, -12]]\nB =\n[[14, -3, 13, -15, -12, -7, 1],\n [-5, -9, 8, 9, -9, -3, 9],\n [10, 13, 14, 3, 1, 2, 14],\n [15, 10, -3, 1, 2, 9, 5],\n [4, -14, 3, -1, -7, 14, 13],\n [13, -2, 3, -8, -4, 1, -4],\n [-1, -11, -14, 4, 2, -13, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3150", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-14, -7, 8, -11, 11, 1, 5],\n [4, -1, 14, -3, -7, -14, 7],\n [-14, 13, 13, -5, 12, -13, 14],\n [-13, -6, 8, -14, -15, -10, -10],\n [-5, 0, 15, -15, -11, 9, 10],\n [11, -6, 5, 12, 7, -10, -5],\n [10, 0, 4, -3, -4, 2, 10],\n [-3, -11, 12, 12, 14, 14, 10]]\nB =\n[[-3, 9, -3, 3, 3, -3, 12],\n [-5, 0, 7, -2, -6, -14, -8],\n [15, 7, -8, 10, 6, 5, 11],\n [4, -2, 8, -2, 2, -1, 6],\n [14, 12, 0, -2, -6, 6, 5],\n [-14, -11, 15, -13, 7, -9, 8],\n [11, -4, 14, -6, -5, 14, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-469", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[1, -12, -10, -9, 11, -11, -10, 1],\n [-2, -5, -11, -14, 15, -2, 11, 0],\n [-14, 1, 10, 0, -7, 4, 4, -7],\n [-11, -12, -9, 13, 13, -11, 8, -13],\n [14, -8, 15, 0, 11, -10, 14, 13],\n [-7, 6, 4, 2, -5, 3, -9, -6],\n [-11, -9, 7, -10, 15, 2, 5, -1]]\nB =\n[[11, 15, -6, -10, 8, -15, 12, 12],\n [12, -6, 7, -1, -2, 0, -11, -2],\n [0, -2, -9, 15, 3, -12, 2, 12],\n [6, 5, -1, 1, 15, -15, 8, -1],\n [0, 8, 6, -5, -7, 1, 15, 10],\n [-1, -8, 2, -8, -13, 6, 7, 3],\n [-2, -14, 15, -15, 14, -11, 1, -15],\n [5, 0, -13, -6, 3, -5, 7, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-13, -14, -13, -1, 11, 4, -7, -1],\n [12, -14, 14, -10, -11, -10, -11, 6],\n [-4, -12, 8, 12, 9, 10, 7, 14],\n [-2, -2, -5, 12, -15, 5, 7, 15],\n [-11, -11, -4, -11, 5, -3, -5, 5],\n [-15, -4, -10, 11, -5, -4, 13, -10],\n [8, 14, -11, 2, 0, -3, -9, -2],\n [-15, 5, 12, 5, -4, -13, 2, -5]]\nB =\n[[4, -9, -6, 3, -3, -2, -1],\n [-10, -9, -3, 0, -1, 2, -13],\n [0, 9, -15, 8, -15, 3, -10],\n [-5, 8, -9, -13, 12, -10, -15],\n [-8, 9, 9, -2, -12, -12, 7],\n [7, 0, -5, 6, -9, 14, -15],\n [-7, 14, 13, -10, 8, 15, -3],\n [5, -4, 7, 3, 10, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2058", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -15, -7, 9, 6, 11, 9],\n [7, -8, 11, -14, 2, -12, -15],\n [8, 5, -4, 0, 14, 7, 15],\n [12, 2, -11, 0, -7, -7, -14],\n [-2, -5, -14, 0, 5, 3, -3],\n [1, 11, 13, 15, -15, 5, 3],\n [0, 9, -3, 12, 3, -13, -13]]\nB =\n[[14, -15, -13, 0, 5, -8, 7],\n [0, 12, -3, -3, -5, -12, -12],\n [-1, 12, -12, -8, 8, -14, -1],\n [7, 12, 11, -2, 12, 5, -14],\n [13, -13, -5, -9, 0, 6, 6],\n [12, -9, 6, -5, -14, -8, -9],\n [-10, 0, 5, -5, 6, 14, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -7, 1, -14, 11, -6, -6],\n [1, -8, 4, -10, -5, -11, 8],\n [-6, 7, -15, -8, -12, -9, 3],\n [-1, -14, 1, 10, 5, 15, 0],\n [11, -2, -13, 11, 3, -8, 1],\n [13, 2, -15, -9, -12, -13, 3],\n [-6, 11, -13, -14, -11, 1, -11],\n [10, -2, 0, 8, 7, 15, -2]]\nB =\n[[14, 11, 15, 3, -3, -4, 9],\n [11, 10, 0, 13, 7, 1, 6],\n [4, -10, -2, 0, 15, -13, 5],\n [3, -9, 15, -11, 4, 15, 10],\n [7, 7, -6, -7, 15, -13, 11],\n [11, -6, 0, 8, 7, -7, -14],\n [-10, -11, -13, -9, -1, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-180", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-12, 7, 13, -3, 7, -11, -1, -9],\n [-9, -6, -3, 8, 14, -5, -15, 4],\n [-5, -15, -13, -8, -3, 12, -9, -13],\n [4, -14, 2, -11, 13, 2, 0, 11],\n [-9, -15, -7, -1, 10, -15, 11, 1],\n [14, -7, 7, 14, -1, -6, 12, 4],\n [-13, 12, -11, -14, 6, -10, 0, -4],\n [1, -4, 10, 9, 1, 6, -9, 8]]\nB =\n[[0, 2, 11, -8, 11, 10, 14, 15],\n [2, -14, -7, 7, 8, 0, 1, -6],\n [6, -15, 5, 2, -1, -7, -13, 0],\n [10, 7, -1, -14, -6, -12, 10, 3],\n [1, -6, 6, 5, -10, 14, -15, -5],\n [0, 8, 4, -9, 8, -13, -2, -12],\n [-7, -1, -4, 9, 0, 7, 3, -2],\n [11, -12, 7, 13, -10, 6, -5, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11928", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -8, -7, 10, 7, 8, 10],\n [-14, 4, -13, -10, -14, 7, -8],\n [4, 8, -8, -13, 1, -5, -13],\n [10, 15, -4, -2, 15, 13, -15],\n [-4, 14, 2, 8, -12, 14, 13],\n [9, 7, -13, 14, 1, 15, -3],\n [1, 14, 1, 10, 3, -11, -8]]\nB =\n[[8, -14, 9, -7, -9, 0, -4],\n [10, 5, -11, 8, 15, 8, 5],\n [6, -10, 6, 5, 9, 14, 1],\n [-1, -6, -13, -9, 13, 9, -14],\n [-3, 11, 13, -2, -12, -8, -11],\n [-4, 11, 8, -4, -5, -14, 12],\n [8, 6, -11, -3, 2, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "141", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[14, -10, 3, 6, 1, 1, 2, 10],\n [-1, 7, 12, 14, 12, 4, -12, -12],\n [-11, -1, -14, -5, 7, -13, -5, -13],\n [-5, 13, 15, -14, 6, 4, 4, -1],\n [-8, 12, 15, -14, 7, 2, 6, 13],\n [5, -8, 6, -4, 7, -10, 8, -14],\n [-4, 7, 5, 14, -4, -3, 15, -7],\n [-1, -5, -7, 8, -8, 14, 4, 12]]\nB =\n[[8, 2, -5, -11, -12, 5, -11, 5],\n [-9, 1, 13, 2, 7, -15, 0, -7],\n [-4, 3, -5, -10, -12, 0, -13, -8],\n [0, 13, -14, -3, 3, 8, 0, 3],\n [-8, 7, -14, -15, 1, 2, -9, -7],\n [7, -13, 8, 8, 9, -5, 12, 0],\n [13, -7, -4, -2, 9, -12, 10, -12],\n [-5, -14, 15, 8, 2, -13, 9, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "718", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-15, -11, -9, 4, 15, -12, 11, -13],\n [-10, -4, 13, 0, -8, -5, -3, -2],\n [11, 2, 6, -8, -15, -12, 1, 14],\n [4, 14, 11, 9, 6, -10, -11, -2],\n [3, -2, -14, -7, 9, -9, 2, 4],\n [-5, -8, 10, 6, 5, 11, -6, 2],\n [1, 1, -15, 15, 11, 6, -12, -5],\n [-7, -7, -13, -10, -10, -6, -6, 1]]\nB =\n[[-1, 9, -12, 6, -6, 12, -8],\n [-15, 8, 6, 1, -4, -4, 9],\n [-3, 9, 10, -2, -8, -2, -9],\n [1, -5, -15, -8, -3, 10, 8],\n [1, 8, 8, -4, 15, 10, 0],\n [-6, 13, 0, 14, 12, -13, -15],\n [3, 8, 14, -8, 0, 12, -1],\n [-9, -14, -3, -11, -6, -8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -10, 2, -8, -7, 1, -12, 6],\n [14, 2, -10, -5, 7, 6, -6, 10],\n [-5, -8, 5, -13, -14, 2, -14, 10],\n [-4, 15, -11, 10, -12, 0, -2, -14],\n [5, -9, 5, -5, 8, -4, 6, 13],\n [9, 10, -11, 8, 0, 14, 6, -9],\n [12, -8, -12, -12, 11, -10, -14, -7]]\nB =\n[[12, -8, 2, 12, -4, 0, 14, -15],\n [10, 4, 14, 11, -12, -2, 2, -11],\n [12, -13, 3, -4, 10, 15, 12, 3],\n [4, -5, 5, 4, -7, 4, 11, 7],\n [10, 11, -11, -6, -7, 9, -3, 13],\n [13, -8, 6, -3, 12, 11, 6, 12],\n [15, 2, 7, -7, 15, -7, -14, 9],\n [-9, -11, 5, -10, -3, 8, 2, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 7, -13, -15, -10, 7, 0, 9],\n [1, 11, 0, 9, -6, -9, -8, -13],\n [-11, 15, 3, -9, 2, 6, 10, 2],\n [9, 15, -10, -11, -10, 13, 12, -10],\n [6, 15, 10, 6, 9, 7, -5, 1],\n [10, -7, 6, 0, -6, -1, -8, -2],\n [0, 3, -13, -3, 14, 12, -7, -4],\n [9, -11, 5, 3, -9, -9, 3, -8]]\nB =\n[[-10, -13, 6, -15, -10, 7, 4, 15],\n [4, 3, 5, 12, -3, 11, 1, 6],\n [2, 4, 14, -10, -5, 11, -10, 12],\n [10, -9, -15, 12, 6, 9, 8, -8],\n [11, -2, 6, 4, -15, -11, 13, -11],\n [-2, -9, 1, 13, -5, 6, 15, -9],\n [-15, -1, 3, -6, -7, -3, 8, -3],\n [14, 10, -10, -8, -4, -14, 13, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11895", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[13, -4, 7, 2, -13, 2, -5, -11],\n [-3, -6, 5, 6, -1, -10, 0, 15],\n [7, 14, -8, 4, 9, -13, -11, 15],\n [-1, -13, -1, -14, -4, 11, -11, -7],\n [6, -12, 7, 10, 5, 12, -9, 0],\n [-3, -14, -14, -7, -1, 15, -12, 1],\n [-7, -1, -15, 14, 15, 11, -14, -7],\n [-5, 3, 11, -15, 3, -7, 12, -14]]\nB =\n[[-11, 1, 10, -15, -2, -4, 7, 10],\n [-6, 3, -1, -15, -15, 13, -5, 15],\n [-5, -11, -13, -5, -12, -10, 2, -9],\n [5, 8, -12, -2, 12, -8, 4, -5],\n [14, -2, 5, -13, -5, -12, -7, -11],\n [-3, 4, -12, -9, -14, 4, 3, -9],\n [4, 8, 5, 9, -7, 3, 9, 4],\n [9, 12, 14, -14, 5, 0, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2222", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, 1, -5, 7, -12, 8, -8, 8],\n [2, -3, 5, -8, -6, 2, 2, 1],\n [0, -10, -2, 14, -11, -1, -3, 0],\n [0, 1, 11, 8, 8, -11, -5, -1],\n [-13, -8, -13, 13, -12, 11, -2, 7],\n [7, 4, 9, -10, 8, 7, -12, -4],\n [-14, 11, 13, 2, -2, -8, -8, -4]]\nB =\n[[-15, 13, -15, -12, 1, -6, -15],\n [10, -5, 15, 5, 1, -6, 12],\n [-10, 15, -12, 10, -3, 11, -5],\n [-11, -2, 9, -14, -13, 13, -13],\n [-5, -7, 3, -6, 5, -10, 6],\n [-10, -15, 6, -15, 6, 13, 10],\n [15, 6, 3, -13, -10, -14, -1],\n [-4, 5, -6, 3, 5, 14, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8240", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[-13, 2, 4, -11, 6, -3, 13, -2],\n [14, 14, -1, 2, 13, -2, 3, -13],\n [6, -15, 7, 13, 8, -9, 4, -9],\n [1, 13, -1, -3, 8, 14, 10, -1],\n [10, -13, 9, 1, 0, 6, -15, 8],\n [-2, -13, 4, 12, 6, -12, 14, 8],\n [-7, 5, -15, 8, -2, -3, -1, 2]]\nB =\n[[0, -10, 6, 0, -5, -9, 12, -7],\n [-15, -6, 13, 12, -8, -5, -11, 13],\n [-10, 8, 8, -4, -5, -9, -9, -4],\n [-4, -15, 8, 3, 5, -12, 10, 3],\n [10, 5, 3, 9, -5, 13, -7, -3],\n [6, 3, -11, -5, 8, 9, -13, -11],\n [-3, 14, 15, -2, -3, -14, -14, 2],\n [12, -10, 3, -6, 5, -8, -11, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 2, 13, -8, -14, 7, 14, 4],\n [-12, -1, 14, 8, 4, 8, -7, 8],\n [4, 5, -10, 15, -7, -3, -11, -2],\n [-2, 2, -9, -10, 11, -4, -2, 3],\n [0, 8, 3, -6, -5, -12, 9, 13],\n [4, -14, -7, -6, -8, 15, -12, -3],\n [11, -10, -10, 11, -14, -7, -10, -11]]\nB =\n[[-14, 13, -2, -6, 15, -1, 1],\n [-9, 4, -5, -3, 7, 5, 1],\n [-11, -4, -12, -15, -6, -14, -3],\n [15, -3, 9, 15, -4, -15, -6],\n [4, 8, -11, -6, -9, -1, 11],\n [2, 4, -12, -15, 12, -8, -5],\n [-13, 15, 12, 13, -4, -3, 4],\n [2, -4, -6, 5, 12, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8256", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 4) when matrix A is multiplied by matrix B?\nA =\n[[-13, 14, 8, -1, 1, 13, 0],\n [-14, -15, 6, 15, -12, 10, 1],\n [-9, 9, -11, 7, -12, 4, 4],\n [13, -11, -8, 4, 7, -7, -10],\n [-12, -11, -8, 4, -3, -12, -9],\n [6, -15, 15, -7, 13, -11, -6],\n [-5, 2, -11, 8, 6, 8, 5]]\nB =\n[[-12, 10, 3, 0, -14, -1, -7, 15],\n [1, 10, 14, 15, -14, 6, 13, -10],\n [12, -15, -8, -5, 4, 14, 7, 10],\n [15, -1, -7, -14, -9, 1, -13, -12],\n [-13, -8, -5, 12, 14, 0, 12, -2],\n [7, 3, 7, -14, -4, -5, 0, -5],\n [-13, 7, -6, 13, -11, 12, 15, -3]]\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[[9, 8, -10, 12, 4, -13, 6],\n [-7, 5, 12, -9, 7, 14, -9],\n [9, -14, -8, 2, 15, 11, -15],\n [12, -6, -10, 2, 14, -3, 5],\n [-15, 7, 13, -15, -4, 12, -8],\n [12, 5, -11, -13, 2, -10, -12],\n [-1, 13, 10, 12, -12, -10, 2]]\nB =\n[[2, 13, 10, 15, 15, -6, -3, 4],\n [6, 2, 14, -9, 11, -8, 9, -10],\n [-14, 6, -8, -6, 15, 1, 11, 6],\n [-4, -5, 1, 0, 6, -6, 4, -13],\n [3, -12, 3, -7, 4, 1, -12, 1],\n [10, 10, -13, 4, 14, -12, -7, -10],\n [3, -9, 11, 0, -1, 0, -2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1141", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[7, -14, -9, 8, 12, -9, -10, 4],\n [13, -7, 1, 5, -5, 0, 14, -15],\n [11, 10, 11, 0, 1, -10, 6, -5],\n [-9, 0, 10, 13, 9, 6, -14, 4],\n [-3, -3, -1, -1, -7, 2, -2, 7],\n [-2, -12, -2, -6, 14, -5, 6, -15],\n [11, 14, -2, -8, -10, -5, -2, -9]]\nB =\n[[13, 6, -9, 5, 3, 6, 15],\n [-6, 15, 9, 6, -7, 2, 11],\n [1, 14, -3, -12, 5, 10, -9],\n [-8, 0, -4, -15, -10, -15, -8],\n [-4, 0, -15, -12, 3, 2, -8],\n [-10, -3, 12, 15, 4, -13, -1],\n [-10, -10, -11, 3, 11, -6, -7],\n [-2, 6, -11, 11, -9, 1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -7, 6, 7, -9, -15, -14, -6],\n [3, -8, -7, -1, -5, 8, -4, 6],\n [2, -14, 14, 13, 12, -1, -6, -9],\n [-7, 6, 1, -2, 15, -7, 14, -9],\n [-1, -13, -14, -13, 15, -14, -3, 11],\n [10, -3, 15, -14, 4, 6, 3, -7],\n [-11, 5, 15, -9, 9, -3, -15, -7]]\nB =\n[[-14, -13, -4, -11, 10, -4, -12],\n [5, 13, 10, 5, -4, -11, -2],\n [-2, -6, 10, -6, -11, 11, 2],\n [11, 1, -6, -5, -1, 8, 3],\n [-4, 0, 7, 8, 11, -4, 6],\n [14, 6, 11, 3, 9, -13, -3],\n [5, 6, -1, 15, 13, 1, -5],\n [9, 7, 11, -4, 1, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2014", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-11, 13, -11, -9, -13, -13, 1, 14],\n [8, -14, -1, 3, 7, -6, 10, -5],\n [8, -7, -2, 8, -9, -6, -15, -15],\n [-2, 11, -8, -2, -9, 2, 9, 10],\n [7, 15, -7, 11, -1, -15, -5, 3],\n [-6, 2, 6, 10, -12, 2, 2, 6],\n [9, 6, 4, -4, 15, -7, 2, -10]]\nB =\n[[7, 13, 3, 4, 7, 9, -1],\n [-11, -5, -3, -14, -8, 9, 11],\n [-5, 2, 10, -6, -15, -12, 13],\n [1, 1, -11, 7, -13, -9, -11],\n [-6, 11, 8, -9, 1, 13, 1],\n [-9, -10, -7, -8, 13, -2, 6],\n [-10, -7, 12, 4, 9, -5, -5],\n [-8, -13, -5, -12, 7, -13, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-184", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 3) when matrix A is multiplied by matrix B?\nA =\n[[3, -8, 5, 12, 5, 8, 6, 5],\n [-15, 5, -8, 14, -7, -10, -5, 13],\n [15, 13, -6, -13, -8, 13, -11, -14],\n [0, -15, 11, 8, -14, 11, -13, -7],\n [1, 8, -4, -14, 8, 14, -14, 7],\n [3, 4, 12, 15, 11, 1, 12, 10],\n [1, -3, -4, -5, 10, 15, 12, -5],\n [8, -8, 2, -12, 2, 13, -1, 8]]\nB =\n[[-9, 7, 10, -1, 15, 3, 12, 11],\n [5, 14, 1, -6, -5, -2, -12, -12],\n [-15, -4, -9, -11, -15, 5, 8, 10],\n [-8, 13, 2, -3, 1, -14, -10, 13],\n [5, -12, -8, -1, -11, 4, 13, -5],\n [-8, 12, 1, -7, 2, 14, -2, 8],\n [-7, -6, 8, 9, 4, 11, -14, -13],\n [13, 8, -11, 11, -12, -13, 11, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 15, 10, -9, 11, 14, -4],\n [-8, 13, -11, 8, -3, -7, -12],\n [-14, -11, -14, 10, 2, -10, 10],\n [-5, -6, -15, -14, 5, -6, -11],\n [10, -4, 3, 5, 9, -14, 13],\n [-10, -1, -8, 0, 3, 14, 2],\n [11, 1, 13, -15, -5, -12, 12],\n [-10, -9, 13, -8, 8, -6, 14]]\nB =\n[[1, -4, -8, -4, 10, 1, -13],\n [-2, -4, -11, -3, -5, 0, 10],\n [-6, 14, 12, 8, -8, -10, 4],\n [4, 8, 11, -13, 8, 4, -6],\n [9, 12, 2, -6, -3, -2, -15],\n [4, -1, 9, -4, 0, -9, -2],\n [-7, -7, -6, 15, -7, 9, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "335", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 7, -8, 12, -14, 9, 2],\n [8, 2, 11, -4, 8, -13, -14],\n [-10, -10, 1, 0, 7, 12, -3],\n [-4, -5, -1, 12, 1, 4, 13],\n [6, 15, 8, 11, 11, -8, 10],\n [-9, -5, 5, 13, 6, -8, 3],\n [-10, 4, 13, 3, 3, -12, 6],\n [-1, 11, 1, 2, 13, 4, -4]]\nB =\n[[-6, -7, -8, 10, -8, -5, 7, 14],\n [-4, 6, 14, 14, 7, -10, -13, -1],\n [12, -10, 12, -9, -10, 11, -14, -10],\n [13, 13, -14, -15, -1, -6, -6, -6],\n [-11, -12, 9, -1, -7, 0, -7, 3],\n [-2, 10, -4, -4, -13, 13, 3, -5],\n [10, -11, -10, -10, 3, -2, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10971", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 1) of the product of the following matrices:\nA =\n[[2, 6, -3, 4, -7, 2, -12],\n [-5, 11, 2, 5, 15, -13, -12],\n [-7, -3, -1, -6, 11, 5, -7],\n [0, 0, -3, -11, -6, 15, 9],\n [8, -15, 13, -13, 5, 12, -13],\n [-6, 1, 14, 11, 2, -3, -14],\n [0, -12, 6, 2, -2, -10, -5],\n [15, 1, -8, -13, 8, -13, 1]]\nB =\n[[-12, 3, -8, 1, 9, 11, 14, 9],\n [6, -11, -5, 14, -4, 5, -1, -4],\n [6, -9, 8, -13, -6, 0, -15, 5],\n [-5, 1, -2, 2, -4, 0, -8, -13],\n [-5, 14, 10, -1, -12, 11, 0, 6],\n [8, 15, 1, -2, -14, 15, 11, 6],\n [-1, 8, 12, -8, -3, -13, -12, 10]]\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 (5, 3) when matrix A is multiplied by matrix B?\nA =\n[[-12, -12, 15, -14, -3, 6, -8],\n [-7, 13, -15, -15, -7, -5, 0],\n [13, -12, -1, 11, -9, -14, -6],\n [1, -5, 14, 7, 6, 3, -6],\n [-12, 13, -3, -15, -9, -7, -15],\n [2, 2, 0, 6, 0, -11, -2],\n [6, -15, -10, 11, -10, 7, -4],\n [2, 6, 15, -7, 0, -1, 9]]\nB =\n[[-14, -11, 13, 7, 5, -3, 3, -15],\n [13, 0, -9, 15, 15, -3, 8, 6],\n [15, 0, 12, -4, -9, 9, -2, 2],\n [5, 3, 12, -3, -14, 3, -12, -2],\n [-14, 2, 8, 14, 3, 3, -12, 11],\n [5, 3, 6, 10, -13, 15, -8, -12],\n [5, -13, -11, -5, 13, 7, 3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-438", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[1, -14, 4, 12, -7, -13, -6, 5],\n [-7, 4, -12, 6, -9, 14, -4, -5],\n [6, 13, 13, 13, 11, -1, 4, -2],\n [-9, -1, -2, 12, -5, -6, 3, -13],\n [-4, -3, -9, -4, 6, -14, -15, -10],\n [9, 3, 9, 15, -10, -3, -12, 10],\n [10, 10, -2, 14, 0, 12, 13, -14]]\nB =\n[[-7, -3, 5, -2, -2, -11, -14, -11],\n [-10, -14, -15, 0, 6, -7, 9, -2],\n [14, -7, 13, -11, -1, -6, -1, 1],\n [-13, -8, 9, -12, -5, 12, 3, -2],\n [2, 15, 5, -14, 11, -7, -6, 11],\n [9, -3, 3, -12, 12, 0, -4, 9],\n [0, 15, 1, 0, -9, -14, -7, 11],\n [-4, 15, -3, -2, -4, -13, 6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 7) when matrix A is multiplied by matrix B?\nA =\n[[0, 2, 9, -13, 6, -7, -1],\n [-8, -6, 5, 6, -13, 15, -11],\n [-10, -2, 3, 10, 2, 10, 9],\n [-9, -12, 13, -13, -3, -12, -7],\n [9, 12, -10, -5, 12, -7, 14],\n [-7, 6, 5, 11, 3, -15, -12],\n [-15, -3, 0, -4, -15, 14, -1],\n [6, 11, -11, 7, -15, 1, -8]]\nB =\n[[6, -8, 15, 14, 6, 6, 10, -1],\n [7, -4, 0, 2, -13, 12, 13, -12],\n [-1, -2, -15, 9, 9, 4, 1, 1],\n [6, 2, -15, 10, 11, 12, -14, 7],\n [0, -2, 4, 7, 7, 4, 13, 2],\n [-7, 15, -2, 14, -3, 10, -2, 10],\n [3, 1, 11, -8, -12, -7, 8, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -9, -1, 9, 2, 4, 13],\n [14, -11, 0, 5, -4, 1, 9],\n [-1, 9, 5, 10, 3, 8, -9],\n [5, -4, 1, -9, -5, -15, 1],\n [9, 6, -9, -14, 15, -5, 0],\n [-1, -8, -1, -9, -11, -8, -14],\n [-10, -12, -9, -10, 12, 6, -11],\n [11, -11, 2, -5, 7, 7, -8]]\nB =\n[[4, -5, 11, 11, 13, 9, 10],\n [3, 3, 13, -14, -6, -9, -4],\n [10, -14, -9, 3, 15, -15, -5],\n [-8, -8, -2, -3, -6, 1, 11],\n [-10, 4, 5, -2, 8, -8, -9],\n [-11, -10, -8, 5, -13, -7, 9],\n [-6, -15, -9, 4, -10, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3005", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 11, 5, -11, -4, -10, 15],\n [7, -1, 5, 5, 12, -12, 1],\n [-2, -9, 7, -3, 6, -6, 2],\n [-14, 6, -4, -3, 9, 5, -9],\n [2, 6, -5, 6, -6, 6, -10],\n [-2, 4, -11, 4, -10, -7, 13],\n [-11, -11, 3, -3, 11, 7, -11],\n [-2, -14, 9, -11, 7, 12, 7]]\nB =\n[[10, -4, 8, 4, -9, -13, -7, -1],\n [-1, -8, 12, 15, 10, 0, 9, -14],\n [4, -15, 8, 13, -12, -12, 7, 14],\n [-10, -13, -8, -14, 13, 1, 12, -4],\n [13, -4, -1, 2, -7, 15, 5, -11],\n [6, -13, 1, 13, 8, 7, -4, 15],\n [-2, -8, -7, -14, 5, -14, 13, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9514", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 4, -5, 4, -6, -8, -9],\n [-15, 7, 14, -6, 3, -11, 8],\n [6, -8, 5, 10, -7, 13, 15],\n [-3, -2, 11, -10, -5, 15, -7],\n [-3, -12, -14, 14, 8, 5, -14],\n [6, -3, 3, -15, 12, -10, 11],\n [-8, 1, -13, -10, 15, 10, 13]]\nB =\n[[3, -9, -1, -10, 9, 13, 6, 7],\n [2, -6, -12, -11, 2, 11, -6, -6],\n [-6, -9, 4, -2, 9, 14, -8, 10],\n [-7, 8, -11, 9, 5, -8, 4, 13],\n [-11, 11, 4, 2, -12, -5, 15, 5],\n [6, 4, -5, -2, 10, -3, 12, -12],\n [0, -10, 15, 7, -3, 7, 4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "348", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (8, 3) when matrix A is multiplied by matrix B?\nA =\n[[15, 3, 5, -6, -11, -2, -12, -10],\n [-11, 8, 13, 13, -14, -10, -14, -4],\n [6, -12, -3, 1, -10, -13, -3, 15],\n [7, -13, 10, 4, -7, 7, -12, -14],\n [-11, -8, -14, 9, -11, -10, -9, -3],\n [-7, -9, -12, -11, 12, -13, 1, 3],\n [-3, -15, -11, 7, -7, -12, -6, -2],\n [-6, -15, 7, 3, 1, 4, 14, 11]]\nB =\n[[9, -1, 6, -10, -9, -15, -11],\n [4, 4, -9, -14, 5, 7, -13],\n [14, -14, 0, 12, 1, 5, -4],\n [12, -11, -12, 8, 0, 2, 15],\n [-3, 12, 4, 5, -7, 0, -13],\n [13, 1, 14, 4, -6, 6, 7],\n [4, -12, 6, -15, 5, 0, -5],\n [3, -8, -11, 7, 8, -8, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[2, 13, -1, 2, -3, 15, -1, 10],\n [5, -3, -13, -4, -4, -6, -15, 8],\n [-10, 3, 8, -3, 11, -15, 3, 9],\n [-10, -15, 9, 7, 1, 1, 5, -5],\n [4, -4, 8, -3, 2, 6, 15, 8],\n [-15, -13, 1, -9, 1, 0, -4, 9],\n [-8, 15, -5, -13, 12, 13, -4, -12]]\nB =\n[[15, -7, 10, 6, 5, 13, 15],\n [5, 1, 0, -4, 14, -1, -1],\n [-15, -13, -14, 10, 14, 1, -4],\n [-11, 14, 14, -5, 3, 15, -1],\n [14, -9, -8, -6, -10, 12, 5],\n [-1, -6, 12, 5, 1, 12, 6],\n [-10, 3, 15, 4, 4, -10, -2],\n [8, 12, -3, -3, -7, -7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-382", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 15, 13, -8, -6, 4, -12, -13],\n [-3, 5, -8, 8, -7, -2, -15, -2],\n [-4, -12, 6, 5, -12, -3, 0, 15],\n [-5, -13, -14, 9, 15, 10, -13, 4],\n [15, 1, -15, 10, 9, -5, 0, 4],\n [-6, 4, -10, -14, 6, 13, -9, 1],\n [-8, -3, 6, 9, 13, -12, -5, -14]]\nB =\n[[9, -8, 2, -8, -5, 8, -11, -9],\n [7, -12, 6, -6, -10, -3, 0, 6],\n [9, 15, -14, 15, 10, 8, -1, -8],\n [1, 11, 13, -2, 14, 2, 13, -2],\n [-12, 5, 5, 15, 6, 7, -15, 7],\n [-10, -11, -1, 14, 0, 6, 11, -8],\n [13, 12, -10, -11, -10, 9, 12, -15],\n [-2, 3, 15, 3, 9, -1, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "533", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 6) of the result:\nA =\n[[9, 15, 10, -11, 10, 0, 11, -7],\n [9, -1, 6, -8, 9, 9, -8, 13],\n [-12, 15, 8, -14, 0, -13, -7, 10],\n [-12, -14, 3, 7, 9, -1, -9, -8],\n [-13, 7, -1, -15, 0, 12, 6, -13],\n [-14, 14, -1, -12, 11, -2, -7, 6],\n [12, -7, -2, -1, 8, -11, 8, -14],\n [8, 1, -5, -3, -4, -13, 7, 4]]\nB =\n[[-3, -1, -5, 0, -9, -15, 7, 14],\n [3, 2, -7, 2, -13, -13, -12, 0],\n [-5, 7, 7, -1, -7, 15, 10, -8],\n [6, -10, 5, 2, -10, -10, -4, -11],\n [-2, -10, 5, 11, 14, 12, 4, 3],\n [-2, -15, 11, 4, 13, 15, 9, 7],\n [-9, -9, -2, 4, 0, -4, 7, -5],\n [2, -4, 8, -6, 8, 9, -11, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "278", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, -14, -6, 10, 8, 10, 0],\n [9, -10, -10, 4, 13, 8, 7],\n [-4, -7, 1, -6, -8, 8, 15],\n [-7, -9, 9, -6, 8, 9, 9],\n [-15, 3, 15, 6, 12, -5, 15],\n [7, 4, -6, -14, -2, -4, -12],\n [6, -3, 4, 12, -6, -14, 9],\n [1, 15, 15, -6, 7, 0, -7]]\nB =\n[[3, -5, -10, 9, 9, 15, -12, 0],\n [-4, 8, 8, 11, 0, 7, 6, -13],\n [-4, -1, 4, 14, -4, -7, -6, 7],\n [11, -8, -3, 6, -1, 12, 1, 11],\n [-4, 0, 9, -5, 3, 13, -3, -13],\n [9, -12, 15, 8, -1, -2, 12, -5],\n [15, 12, -3, 4, 2, -3, 5, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-518", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -12, -4, -13, 0, -15, -12, -7],\n [7, -3, 6, 14, -6, -7, 4, -10],\n [15, 3, -13, -6, -6, 8, 5, 15],\n [8, 9, -14, -3, -9, 13, -3, 14],\n [-2, 12, 2, -2, 7, 11, -3, 3],\n [-8, -12, -7, -4, 4, -14, 13, -12],\n [5, 8, 3, -7, 15, -7, -5, -6],\n [-13, -8, 6, -5, -10, 2, -8, 7]]\nB =\n[[-14, 4, -11, 9, -6, 14, 2, -4],\n [12, 7, 5, -14, -6, -4, 3, -11],\n [-6, -15, -9, -15, 6, 12, 6, 1],\n [-4, 15, -9, -8, -13, -1, -4, 10],\n [1, -14, 1, 9, -12, -9, -1, 5],\n [9, 0, 9, -10, -11, 10, 0, -15],\n [-1, 4, -11, -3, -2, 9, -14, -14],\n [15, 3, 3, -4, 7, 14, 1, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14352", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, 1, -2, -7, 10, 9, 13, 3],\n [12, 3, -15, -11, 3, -14, 13, -2],\n [3, 8, -8, 1, -14, 15, 1, -8],\n [-2, 1, -10, 10, 13, -5, -8, -3],\n [-8, -9, 8, 8, 14, 10, 14, -13],\n [-14, -4, -12, -11, 0, -14, 15, 11],\n [8, 8, -3, 12, -12, 12, -11, 11]]\nB =\n[[-4, -1, -11, -11, 0, 9, -7, -1],\n [14, 11, -12, 1, 8, 11, -15, 0],\n [7, 12, 13, 4, 1, -12, 7, -3],\n [-8, 2, -3, -7, -11, 14, -5, 12],\n [-2, 8, 2, 2, 4, 0, -12, 3],\n [-11, -14, 1, 12, -12, -10, 14, 6],\n [2, -10, 4, 10, -1, -15, 1, 15],\n [-14, -12, 8, -13, 15, 11, 5, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11455", "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, -2, 4, 11, -8, 13, -8, -7],\n [2, 11, 10, -9, -6, 14, 14, -15],\n [13, -12, 4, -12, 7, 13, -2, -11],\n [-11, 3, 10, 5, -11, 8, 15, -5],\n [-14, -1, -2, -2, -8, 4, 9, -8],\n [-11, -11, 9, 13, -2, -11, 13, -7],\n [6, 11, -5, 1, 11, -4, -4, 8]]\nB =\n[[0, 14, -15, 2, -10, -11, 2, -3],\n [-10, -9, -13, -5, -8, -12, -6, -7],\n [7, -3, 3, 15, 14, -1, -11, 9],\n [15, -3, -4, -7, 8, -8, -7, 5],\n [-3, 11, 13, -7, 15, -10, 13, 14],\n [-10, -5, -6, -2, 12, -10, -9, -7],\n [15, -13, -4, 0, 15, -3, -10, -3],\n [10, -11, -12, -8, -13, 15, -14, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12447", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -9, -4, 13, -12, -6, 12],\n [-7, 13, -4, -5, 5, 14, 3],\n [-14, -10, 14, -10, -15, -9, -4],\n [5, 7, -4, 4, 5, 7, -10],\n [-2, 1, 1, 2, -3, -3, 11],\n [-5, -13, 1, 10, -14, 14, 12],\n [-14, -9, 11, 13, 12, 6, 9]]\nB =\n[[-6, -2, 5, 3, 1, 0, 1, 2],\n [15, 13, 11, -5, 3, -5, -6, 14],\n [-2, -2, -6, 5, 7, -12, -6, 11],\n [-10, 6, 13, -5, 2, -10, 5, -1],\n [11, -10, 4, -15, -7, -2, -13, 14],\n [15, -15, -2, -2, -12, -2, 7, -12],\n [-5, 4, -7, -5, -1, -10, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1771", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, -3, 2, 7, 7, -2, 8, 10],\n [-5, 9, 8, -14, 3, 12, -14, 1],\n [13, 7, -8, -11, 10, 13, -5, 14],\n [9, 4, -15, 4, 0, -11, 11, 12],\n [15, 0, 8, -11, 12, -6, -7, 6],\n [14, 8, 3, 13, -13, -7, 6, 4],\n [-8, -12, -5, -12, -4, 7, -9, 12],\n [-8, -6, 7, 13, 8, -3, 8, -2]]\nB =\n[[0, -9, 0, 1, 4, 3, -4, -7],\n [12, 10, -8, -7, -11, 5, -6, -11],\n [-2, 2, 13, -9, -8, -11, 8, -10],\n [4, 7, 8, -7, 5, -7, -8, 1],\n [8, -8, 13, 7, -15, 6, 2, -1],\n [6, 11, 0, -14, 15, -3, -14, -2],\n [-9, -5, -1, 10, 15, 1, 15, 5],\n [1, -1, 0, -7, 5, 5, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9336", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 7, -7, -10, -15, 15, -11, -11],\n [7, 15, 10, -15, -15, 13, 6, -10],\n [-7, 3, 12, -11, 5, 1, 15, 6],\n [4, -4, -10, 13, -3, 8, -8, 13],\n [-13, 9, -5, 13, 4, -15, 9, -2],\n [13, 5, 13, 8, -3, -1, 7, 5],\n [-8, -1, -3, -15, -5, 4, -1, 5],\n [-12, -10, 9, -4, -15, -6, 11, 2]]\nB =\n[[-15, -9, 14, -14, 9, -8, 10, -15],\n [3, -10, -5, 3, 9, 12, -6, 15],\n [0, 0, -6, 2, 6, 2, -13, -4],\n [-6, 12, 0, 9, -7, 14, 2, -3],\n [8, -2, 3, -2, -14, -5, 10, -8],\n [-13, -1, -3, -8, -3, 0, 6, -15],\n [14, -14, -3, 13, -2, -14, 0, -2],\n [-9, 6, -2, 2, 1, -11, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12653", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, 10, -6, -10, -2, -14, 13],\n [11, -7, 12, -3, 5, 7, 4],\n [-4, -14, -13, -3, 5, -15, 12],\n [4, 13, -12, 2, 9, -3, -10],\n [9, -10, -1, 2, 1, -2, -12],\n [13, -15, -8, -5, -3, 1, 5],\n [-2, 9, 1, 4, 8, 8, -15]]\nB =\n[[-8, 11, 12, 3, 14, -5, 7],\n [-6, 11, -15, -11, 0, 4, 4],\n [12, -11, 0, -13, 14, 7, -14],\n [1, 6, 12, -15, 0, 11, 7],\n [8, 14, 15, -14, 15, 4, -9],\n [-5, -10, -14, -2, -12, 3, 9],\n [6, 13, 12, -14, -14, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "646", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-13, 5, 12, -10, 5, 12, 1],\n [13, -15, -9, 14, 10, 14, -9],\n [-3, 10, 6, -7, 2, -15, -5],\n [6, 6, 9, -5, -6, 1, 11],\n [1, -4, 14, 12, -6, -4, -10],\n [5, 11, -10, -10, 13, 4, 10],\n [-8, -11, -10, 15, -14, 1, -8]]\nB =\n[[6, 13, -7, 5, -8, 7, -5],\n [-6, 1, 7, 4, -3, 6, -7],\n [-1, 15, -3, -3, -3, 9, 9],\n [5, -12, 6, -6, -1, 5, 12],\n [-6, 5, -8, 15, -6, 5, 1],\n [-11, -3, 5, 5, 12, 3, -4],\n [-4, 9, 5, 12, -14, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[14, 8, 6, 9, 7, -14, 14],\n [-15, -2, -3, -13, 11, 4, 9],\n [15, -11, -14, 10, 5, 13, 2],\n [-7, 6, 12, 12, -4, -11, 2],\n [7, 7, -14, -6, 6, -6, 10],\n [-13, 8, -2, -11, 8, 7, 14],\n [-3, 11, 8, 12, 1, -10, 13]]\nB =\n[[13, 11, -3, 13, -4, -13, 14, 0],\n [-11, -14, -5, -12, 6, -15, -3, 2],\n [0, -14, -7, 11, -4, -11, -11, 6],\n [-3, 0, 10, 3, -7, 0, 3, -12],\n [12, -1, -7, 0, 10, 8, -10, -8],\n [-15, -2, -12, -6, 11, 0, -12, -14],\n [-14, -3, -5, -6, 9, -10, -9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2076", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 1) of the product matrix AB given:\nA =\n[[11, -1, 4, 3, -13, 5, 11],\n [-2, 6, 14, -14, 7, 0, 7],\n [1, -1, 14, 13, -3, 13, 13],\n [-4, -9, 13, 4, 4, -13, -7],\n [-13, 0, 4, -13, -8, -8, 10],\n [8, -1, -11, -3, -1, -9, -4],\n [-13, 15, -8, -6, -14, -8, 6],\n [2, -4, 6, 11, 10, 2, 3]]\nB =\n[[11, -11, 0, 1, -7, -6, 3],\n [13, -4, -15, 6, 1, -13, -9],\n [4, -7, 7, -11, -7, 3, -5],\n [-2, -2, -8, 8, 4, -15, -12],\n [15, 0, 9, 10, -15, 3, 8],\n [-13, -14, 1, 9, -5, 10, -13],\n [-9, -6, -13, 13, -8, 9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-303", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 6) of the product of the following matrices:\nA =\n[[8, -11, 11, -6, -4, 2, -10],\n [-8, 2, -10, 7, 14, -7, 0],\n [-5, 9, 14, -14, 1, -3, -9],\n [6, -6, 10, -3, -6, 12, -12],\n [11, -5, -7, 0, 1, 7, -11],\n [-11, -10, 15, -14, 11, -2, -5],\n [3, -5, 9, 4, -10, -3, 13],\n [3, -13, 9, 0, -7, 13, -13]]\nB =\n[[3, -1, 6, -3, 1, 14, 5],\n [9, 9, -8, 6, -2, -7, -13],\n [13, -7, 8, -4, -1, 1, -7],\n [8, -8, -10, -7, -1, 8, 2],\n [6, 12, -5, 15, 8, -2, -3],\n [-3, 6, -3, 14, 11, 9, 0],\n [-4, 5, 8, 10, 2, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "325", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 5, 7, -15, -3, -6, -13],\n [-10, 0, 12, -15, 3, -8, -7],\n [7, 4, 7, -9, -5, 7, -8],\n [-5, -2, -2, -12, 4, -7, -8],\n [-1, 11, 4, -10, 9, 0, 0],\n [13, -2, 12, 14, -1, 6, 11],\n [5, -4, 7, 2, 8, -5, -9]]\nB =\n[[-10, -13, -7, -1, -14, -12, -14],\n [-10, -4, -9, -7, -10, 6, -11],\n [10, 11, 12, 10, -12, -6, 11],\n [4, -12, -11, 1, 2, -13, 7],\n [-3, 13, -15, 15, 3, 7, 6],\n [-14, -12, 0, 0, 1, 12, 5],\n [-4, -14, 14, 8, -6, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2470", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (8, 3) of the product of the following matrices:\nA =\n[[-4, 1, 14, 2, -12, -13, 9, 1],\n [7, -7, 9, 6, 14, -4, 13, -9],\n [0, -8, -13, 5, -3, 4, -7, -7],\n [-12, 12, -2, 2, -15, 3, -14, -11],\n [15, 6, -2, -7, 4, 4, -1, 4],\n [-15, 14, 3, -12, -2, -15, -11, -6],\n [-7, 1, -2, 12, -9, 2, -6, 12],\n [11, 9, -12, 15, -2, -13, 12, 13]]\nB =\n[[11, 7, 6, -5, -6, -8, -7, 12],\n [15, 7, -10, -2, 12, 8, -7, -2],\n [-8, -10, 8, 9, -10, 14, 6, -14],\n [9, 8, -11, 10, -13, 9, -5, 10],\n [14, 13, -9, 13, -7, -3, 14, 0],\n [7, -4, -8, -2, 10, -2, -11, 10],\n [-6, 14, 6, 12, 8, 14, -2, 7],\n [1, 10, -12, 13, 8, -1, -5, -7]]\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 value at position (8, 4) of the result:\nA =\n[[-1, 6, 11, 4, -14, 12, 9, -15],\n [5, 8, 4, 1, -12, -11, -11, 12],\n [-2, -15, 15, -14, 6, -6, 14, -11],\n [-7, -3, 7, 13, 5, 15, -3, 12],\n [12, -7, -2, 1, -13, 2, 15, -4],\n [7, -7, 0, 14, -3, 12, 2, -4],\n [6, -14, 3, -15, -10, 2, -13, 6],\n [-10, -12, 1, 7, 15, 2, 6, -9]]\nB =\n[[14, -14, -1, 6, 1, -10, -8, -8],\n [-9, -12, 4, -11, -8, -2, 4, 9],\n [-13, 9, 2, 6, -1, 5, -11, 15],\n [-1, 11, 15, -10, -6, 7, 4, -1],\n [4, 12, -7, -12, -8, 10, -3, 1],\n [-12, -14, 11, 10, -11, -14, 0, 7],\n [10, 7, -1, 9, 13, -12, 15, -1],\n [-11, -13, -2, -9, -1, -11, -7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 14, -9, -12, -9, -15, -1, -1],\n [2, -1, 14, -13, -11, 12, -11, 0],\n [7, 9, -6, 9, 6, 15, 7, 12],\n [-3, -1, -8, 4, -9, -2, -10, -8],\n [-1, 1, -11, -4, -3, -13, 9, 9],\n [3, 10, 14, 12, -1, 2, 5, 4],\n [15, -9, 12, -2, 8, 4, 3, 15],\n [9, 8, -5, 11, -9, -5, -8, 8]]\nB =\n[[-6, 8, -5, -15, 4, -6, -9, 6],\n [-13, 3, 12, -12, 14, 10, -10, 14],\n [-15, 10, -12, 9, -9, -5, -10, 11],\n [-11, -4, 13, -14, 2, 6, -7, -2],\n [-4, -7, -15, -9, -9, -6, -14, 14],\n [12, 10, -12, 13, -8, 6, 11, -2],\n [-3, 15, 0, -9, -6, -5, -5, 14],\n [-10, 9, 11, -4, -6, 15, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -10, -7, 10, 9, -13, -9, -13],\n [4, 14, 9, 10, -8, 6, 6, -8],\n [-3, -14, -2, -11, -3, 7, 12, -3],\n [3, 8, -13, -2, -12, 10, -6, -10],\n [-10, -14, -14, 3, -13, 4, -12, -12],\n [10, 10, -5, -13, 1, -7, -2, -14],\n [-2, -13, -14, 6, 6, 13, -15, -12]]\nB =\n[[-6, -1, 5, -4, -10, 5, 15],\n [-13, -13, 3, 6, 4, -12, 3],\n [-2, -12, -8, 3, 10, 3, 6],\n [-15, 10, 6, -1, -5, -7, -13],\n [2, 3, 0, 0, 12, -13, 2],\n [-3, 11, 4, -8, -9, 10, 9],\n [8, 13, 7, 6, 3, 10, 4],\n [8, -4, 2, -1, -4, -10, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1223", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[13, 1, 7, -12, -4, 1, 5, -11],\n [13, -10, -1, 12, -8, 15, 4, 0],\n [-3, 12, 7, 11, -1, 4, 14, -3],\n [-1, -14, 8, 5, 10, 4, 12, 14],\n [2, -9, 5, -7, -9, -7, 13, -4],\n [-6, 15, -6, -3, -11, 11, 6, -8],\n [-6, -10, -5, -12, -14, -10, -3, 13],\n [-4, -2, 14, 9, -8, -13, -11, 6]]\nB =\n[[-9, 2, -10, 2, -8, -9, -14, -12],\n [7, -7, 0, 3, -6, 10, -8, 13],\n [0, 9, 13, -8, 4, -12, 11, 7],\n [4, 15, 11, -3, 10, -6, 7, 9],\n [12, -7, 9, 10, -4, 10, -1, 6],\n [-15, -4, 8, 14, -2, 6, 7, -14],\n [-13, -10, 3, 5, -3, 4, 5, -8],\n [15, -12, 9, 3, 12, -9, -9, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2128", "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, 10, 1, -8, 10, 5, -1, 4],\n [3, -9, 8, 8, -3, -15, -9, -11],\n [2, -8, -1, 2, -10, 12, -11, 6],\n [-5, 10, -8, -7, -3, -13, -13, -9],\n [-13, -5, -2, 10, 12, 5, -6, 15],\n [4, 11, -7, 11, -4, -8, -4, -7],\n [6, 2, 8, 14, 1, -5, 5, -14],\n [13, 7, 5, 10, 3, -2, 7, 12]]\nB =\n[[-13, -10, -12, -4, 10, -14, 9],\n [-10, 15, -11, 13, -11, -8, -11],\n [8, -8, -15, 4, -7, -2, 15],\n [-14, -5, -12, -12, 1, 10, 10],\n [0, 14, -9, -4, 1, -11, -8],\n [4, -11, -5, 10, 12, 3, 5],\n [12, 3, -12, -5, 3, -11, -14],\n [9, 3, 10, 14, 1, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11122", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, -1, 0, 12, -4, -8, 9],\n [-10, 8, 2, -5, -10, 1, -6],\n [3, -1, 0, 7, 12, 13, 13],\n [1, 6, -9, 3, 11, -8, -8],\n [-11, -5, -14, 2, 5, -12, -4],\n [-12, -11, 1, 15, 7, 3, -6],\n [-2, -1, 10, -2, 0, -8, -7]]\nB =\n[[-8, -5, -4, -2, 2, 15, 7, -4],\n [-12, -3, 5, 11, 0, -6, 5, -5],\n [9, -4, 2, -14, 3, -11, 12, 4],\n [-6, 10, 0, -4, -7, -13, -15, -11],\n [-8, 1, -15, -3, -10, -1, -9, 14],\n [8, -8, -13, -1, -12, -7, -5, 5],\n [15, -2, 11, 14, -7, -4, -11, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1699", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -10, 3, 12, -11, -15, 9, -6],\n [-2, 10, 11, 7, 1, 14, 11, -5],\n [-12, 2, 3, -12, -4, -2, 2, 10],\n [-15, 11, 4, 9, 14, -5, 11, 9],\n [12, 9, 3, -15, -15, 14, -13, 10],\n [-2, -8, -1, -12, -5, -8, 14, -9],\n [14, 8, -14, -8, 9, 10, 11, 6],\n [14, 3, 7, -7, 0, -8, 15, 14]]\nB =\n[[-8, -5, -9, 5, -14, 5, -11],\n [2, -5, 10, 1, 5, -10, -3],\n [-9, -5, 2, -10, 15, -4, 8],\n [6, -13, 3, -5, 7, -14, -13],\n [7, 9, 1, -11, 13, -14, -4],\n [-11, 13, -3, 6, 8, -9, 5],\n [-5, -11, 14, 2, -10, -13, -10],\n [0, -13, 2, 8, -12, -11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2908", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-12, 13, -15, 11, 6, 11, -5],\n [-11, -6, -13, -1, 11, 11, -2],\n [-11, -8, 1, 4, 3, -12, -14],\n [-14, 15, -14, -13, 12, -7, -11],\n [4, 13, -1, -12, -13, -7, 11],\n [-6, 1, 14, 6, 4, -8, 7],\n [3, -11, 11, -5, -12, -12, 10],\n [-1, -8, 9, 11, -3, 14, 14]]\nB =\n[[4, -4, -14, -15, -2, 10, 4, 15],\n [-8, 0, -11, -14, -1, 11, -12, -12],\n [-6, 5, 2, -9, -11, -12, 8, -1],\n [2, 1, -10, 10, 10, 8, 7, 9],\n [-15, -13, -7, -11, -10, 14, 11, -3],\n [7, -13, 7, -13, 6, 8, 7, -11],\n [-4, 6, 4, 2, -9, 4, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[-4, -14, 0, 14, -14, 6, -8, -15],\n [-2, -6, 7, 6, 14, 15, 5, -3],\n [-6, -3, 12, -3, 8, -15, -11, 12],\n [0, -10, -12, -6, -5, 12, 10, -14],\n [13, 8, 5, 10, 6, -7, -2, -14],\n [-11, -4, -15, 3, 6, 8, -4, 5],\n [-4, 4, -11, 4, -14, -2, 1, 8]]\nB =\n[[14, -1, 13, 1, -14, 5, -8, -6],\n [-13, -5, 11, -7, -1, 14, 6, -5],\n [-13, 10, -9, 12, 7, -9, -12, 14],\n [-10, 3, -2, -12, 15, 3, 3, 1],\n [5, 12, 3, -4, 1, -1, -7, 11],\n [12, 4, 12, 9, 0, 2, 2, -12],\n [-12, 5, 11, -15, -11, -4, -2, -6],\n [2, 5, -6, 10, 0, -10, -13, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, -11, -10, 9, 9, 6, -4],\n [-15, 6, -6, -13, 5, -11, 10],\n [-1, -12, 3, 1, 7, 13, -8],\n [-11, 8, -12, 8, 3, 8, 6],\n [-7, -3, 5, 1, -8, 15, 11],\n [3, -5, 5, -2, 2, 7, -11],\n [12, 7, -4, 0, 0, -2, -9]]\nB =\n[[5, 5, -7, -13, -2, 8, -15, -2],\n [4, 12, 2, -13, 11, -10, -12, -15],\n [5, -13, 13, 12, 2, 4, 13, 4],\n [-13, 14, 14, 5, 5, 0, 8, 10],\n [-9, 11, -7, 7, -14, -13, 6, -15],\n [8, 7, -10, 5, 14, -1, 10, -11],\n [-3, -8, 8, 15, -3, 3, -7, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "262", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[13, 15, 10, -2, 8, -9, -3, -7],\n [-5, -7, -5, -2, -1, 1, -15, -13],\n [7, -13, -13, -12, 8, 14, 1, 4],\n [-12, -3, 8, -9, -12, 12, -8, -5],\n [3, 10, 14, -9, -7, 6, -12, -12],\n [-15, -10, -13, -13, -15, -9, -7, -13],\n [7, 9, -1, 14, -13, 9, -5, 2],\n [-13, 11, 4, 14, -9, 11, -7, 13]]\nB =\n[[1, 12, -7, -6, -3, -11, 15, -2],\n [-12, -2, 13, -5, 12, 6, -6, -11],\n [5, -4, 5, -1, 8, -3, 10, -8],\n [10, -12, -3, 14, -1, -7, 8, 12],\n [-10, 2, -7, 6, 8, -10, 5, -9],\n [-4, -12, 10, -5, -13, 11, 12, 15],\n [-9, -14, -6, -13, 1, -5, 12, -15],\n [-14, -3, -2, 1, 15, -14, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "898", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -7, 8, 9, -4, 14, 0],\n [-12, 14, 8, -5, 5, 4, 13],\n [-12, -14, -6, -7, 13, 9, 14],\n [1, -4, -12, -7, -2, -12, 14],\n [-14, 2, -3, -6, -2, -7, -5],\n [4, -15, -4, 13, 1, 1, -8],\n [1, 5, 9, 4, 11, 9, 5]]\nB =\n[[-3, 9, -3, -1, 2, 14, -3],\n [-8, -9, 7, 3, -6, -4, -14],\n [11, -2, -6, 1, -3, -15, 7],\n [9, -1, -15, -1, 10, 4, -1],\n [-2, -3, -14, 14, -8, -7, 3],\n [3, 7, -7, 7, 12, 14, 13],\n [-9, -2, -14, -4, -5, 1, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-794", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, 6, 12, -4, 14, 10, -1, 13],\n [-8, -8, 6, 2, -2, 9, -6, -12],\n [0, 0, 13, 5, 1, -7, -5, 11],\n [11, 10, -3, -15, -9, -5, 9, -13],\n [-14, -2, -6, 8, 4, 1, -8, -1],\n [6, -10, 4, 6, -14, 6, -1, 0],\n [-14, 6, -2, 9, 7, 12, 14, 15]]\nB =\n[[14, 12, 4, -15, -7, 1, 5, -2],\n [7, -6, -3, -3, 10, 6, 3, 11],\n [-8, 11, -9, 9, 1, -8, -12, -9],\n [7, 4, 8, 13, 12, 1, -11, 4],\n [-12, 15, 3, -15, 5, 8, -6, -10],\n [-4, 1, -11, 6, 15, -7, -7, -11],\n [3, 6, 11, 8, 12, -5, 12, -4],\n [-11, -8, 1, -8, -14, 7, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-974", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, -6, -9, -7, -4, -4, -11],\n [-5, 1, -1, -5, -1, 0, 3],\n [5, -4, -13, -8, 8, 15, -5],\n [-15, 8, 14, -12, 11, -10, -6],\n [-1, -8, -2, -14, 8, 7, 4],\n [12, 5, -10, 15, -13, -14, -2],\n [2, -1, -12, 0, 7, -4, 1]]\nB =\n[[-15, 15, 4, -7, -4, 14, 12],\n [-11, 1, -13, 11, -10, 13, 15],\n [-13, 11, 6, -10, 5, 10, -3],\n [5, 9, 3, -1, 11, 10, -9],\n [-3, 4, -14, 10, 3, 3, -13],\n [-13, 10, -10, -3, -2, -10, 11],\n [-7, 8, -6, 0, 7, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "297", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, -3, 2, 10, -14, -2, 1],\n [7, 7, -15, 6, -5, -2, -4],\n [7, -2, 1, -4, -10, 10, -7],\n [-4, 1, 0, -14, 2, 0, -6],\n [3, 14, -12, -9, 0, 3, 7],\n [-11, -11, 7, 7, -9, 9, 1],\n [-15, 15, -13, 0, 6, -14, 9],\n [-15, 14, 5, -9, -6, -13, 14]]\nB =\n[[2, 13, -13, 15, 12, -9, -1, -15],\n [8, 3, -11, 10, 11, 5, 6, -9],\n [-5, -15, 6, -14, -2, -6, -13, -2],\n [-11, 1, -9, -15, 8, -5, 12, -10],\n [0, 11, -2, 1, -1, -2, -9, -6],\n [3, -9, -1, 11, 8, 10, -2, -1],\n [3, 5, 10, 0, -14, 14, -14, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11073", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 3, -12, -13, -5, 8, 1, -11],\n [7, 13, -7, -15, 9, 11, -7, -12],\n [0, -1, -6, -11, 0, -10, 0, -12],\n [6, 5, -1, -13, 3, -7, -11, 0],\n [11, -13, -8, 8, -2, 14, 13, -13],\n [0, -9, -7, -13, -8, 12, -4, 1],\n [12, -2, 0, 3, 12, -12, -13, -3],\n [-7, -3, 13, -4, 10, 5, -1, -13]]\nB =\n[[-13, 11, -14, 10, -10, 9, 0, 7],\n [15, 2, -7, 14, -13, 7, 10, 7],\n [0, -12, -2, -12, 12, 2, 2, 2],\n [12, 11, 5, -13, 10, -9, -3, -9],\n [6, -3, 8, 11, -12, 0, 9, 12],\n [12, -1, -3, -6, -6, -11, -12, 3],\n [14, -1, -7, 0, 12, 15, -12, 9],\n [-5, 1, 5, -15, -7, -4, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "558", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 4) of the result:\nA =\n[[-6, -7, 5, 10, 14, 9, 4],\n [0, -3, -13, 2, -12, 3, 9],\n [-3, 12, 12, -3, -4, 8, 12],\n [-15, -14, -13, 6, 5, 11, 5],\n [6, -3, -4, 0, -2, 8, -2],\n [1, -11, -10, 11, -6, 11, 6],\n [-7, 10, -9, -12, 7, -9, -5]]\nB =\n[[11, -10, 0, 0, 8, 8, 13],\n [-3, 10, -4, 13, 6, 11, -14],\n [5, -3, -15, -6, 10, 14, 12],\n [13, -6, 14, 12, 13, 15, -5],\n [-7, -12, 1, 3, -6, -3, 15],\n [-14, -7, -9, 10, -6, -4, 15],\n [6, 4, -5, -12, -4, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 7) of the result:\nA =\n[[-8, 4, -2, -9, -13, 12, 12],\n [9, 12, 3, -2, 3, -6, -4],\n [13, 2, 3, 8, 2, -3, 1],\n [5, 8, -10, 14, 0, 2, 12],\n [-7, 14, -3, -12, -3, -13, -12],\n [3, 8, -15, -15, -7, 7, 9],\n [-13, -13, 14, 2, -14, -5, -7],\n [-14, 4, 11, -12, -7, -2, 3]]\nB =\n[[0, 10, -2, -1, 2, 12, -1],\n [3, 14, -7, 5, 5, 0, 7],\n [14, 1, -6, -11, -7, -2, 14],\n [6, 12, 8, -6, 8, -15, 8],\n [6, 4, -13, 0, -11, 15, -3],\n [-11, 7, 9, -5, 1, 14, 9],\n [-13, 6, -10, 0, 4, 14, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-11, 3, 4, 6, -5, 7, 2],\n [11, 15, -13, -4, 7, -3, 5],\n [4, 4, -7, 15, -7, 10, -9],\n [-15, -15, 3, -13, -9, -4, 14],\n [0, -3, 2, 8, 1, 11, 13],\n [15, 8, -7, -2, -11, -5, 4],\n [-10, -10, 8, -8, -15, -7, -6]]\nB =\n[[1, -13, 7, 5, 6, -3, -8, 4],\n [-2, 14, 4, -8, 3, -3, -10, -12],\n [-10, 4, -14, -6, 15, -5, -5, -13],\n [-5, -8, 13, 1, 11, 10, 6, 9],\n [-15, 0, 13, 4, -9, 6, 6, 9],\n [-8, -3, 13, -11, 11, 14, 12, 11],\n [2, -4, 0, -13, -4, 10, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9269", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[2, -8, 15, 8, 14, -3, 12],\n [-8, -6, -2, -1, 5, -1, 10],\n [-10, -2, -10, 7, -15, -6, 3],\n [-5, -13, 11, 7, 14, -10, -7],\n [9, -7, 13, -12, 15, -13, 15],\n [4, 3, 7, -5, 3, 15, 1],\n [-8, -10, -11, -8, 11, -8, -13]]\nB =\n[[3, 0, -6, 7, -13, -7, -8, -8],\n [9, -8, 4, -9, -2, 6, 1, -4],\n [-11, -14, 9, -1, -5, -1, 15, -3],\n [3, -4, 15, -1, -4, 7, 2, 7],\n [13, -12, -5, 6, -1, 9, 8, 9],\n [14, -11, -11, 4, 9, 14, -6, 8],\n [6, -6, 14, 14, 6, -10, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1452", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-10, 8, -9, 2, 10, -12, -2, -5],\n [-9, 2, 4, -14, 15, -14, 14, -9],\n [-5, 15, 2, 4, -9, 6, 4, 9],\n [-11, -14, -2, -9, -6, 12, 2, -8],\n [7, 0, -2, 12, -7, -10, -9, 10],\n [14, 14, -7, -9, -7, 8, 5, -9],\n [-4, 7, 1, 4, 5, -4, 6, 7],\n [-11, 2, -11, -11, -9, 13, -13, -15]]\nB =\n[[12, -10, 12, -9, 11, 10, 15, -8],\n [-2, 7, -1, -9, -9, -15, -7, 9],\n [-9, 9, 11, 4, -9, 2, -2, 6],\n [-1, 2, -6, -13, 11, 13, -5, -15],\n [7, 12, -14, 0, -13, 12, 1, -13],\n [-5, -12, 14, -9, 6, 0, 1, -5],\n [-12, 9, -13, 6, 11, 0, -14, -11],\n [9, 12, 2, -13, 12, -14, -14, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, 5, 14, -14, 0, -15, 13, 13],\n [3, 3, -7, 4, 14, 14, -7, 13],\n [-5, -15, 3, 1, -10, -15, 2, -7],\n [11, -15, -12, 6, 14, 2, 1, 4],\n [3, 7, 7, 12, -2, 10, 11, -9],\n [-7, 9, 4, -7, -1, -5, -9, -10],\n [11, -7, -12, 1, -10, 13, 1, 10],\n [9, -2, -11, 2, 12, -8, -6, -5]]\nB =\n[[6, 13, -13, 11, 15, -14, 10, 11],\n [-2, -12, 1, 1, 5, 10, -7, 12],\n [5, 6, 10, -7, -13, 12, 15, -12],\n [-14, -2, 4, -8, 2, -12, -8, -9],\n [9, -1, 14, -1, -14, -12, 9, 6],\n [9, -7, 7, 14, -9, 8, 2, 10],\n [-4, -2, -9, 15, -10, 7, 6, 11],\n [3, 5, 3, 6, -1, 3, -4, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "166", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-5, -3, -12, 9, -15, 8, 5],\n [-14, -2, 9, 2, -5, -5, 3],\n [1, 1, -14, -14, 14, -3, -10],\n [-1, -5, 8, 12, -12, 3, 13],\n [-2, 2, 1, -8, -3, 7, 13],\n [-1, -5, 0, 2, -4, 7, -4],\n [-10, 8, 15, -10, -12, 13, 14]]\nB =\n[[8, -15, 10, 1, -12, 1, -11],\n [11, 9, 14, -7, 9, -10, -4],\n [1, 10, 5, -6, -14, 12, -15],\n [-3, 5, 5, -15, -3, 15, 13],\n [7, -13, -5, 13, 6, 0, 2],\n [14, 9, -14, 2, 1, -15, 12],\n [-12, 7, 4, 5, -10, 5, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-729", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[14, 4, 14, -7, 5, 9, 14],\n [15, -12, 9, -11, -8, 1, -1],\n [4, -3, -1, 13, -12, 2, 3],\n [8, 12, -8, -2, -15, -14, 4],\n [11, 13, 6, -13, 0, 7, -13],\n [8, -10, -8, 7, -4, -11, -11],\n [-13, -12, 15, 8, -11, 13, 15],\n [9, -13, -6, 3, 8, -8, 12]]\nB =\n[[7, -10, 7, -9, -10, -3, -3],\n [9, 5, -11, -10, -6, 11, 13],\n [4, 10, -6, 9, 12, 0, 2],\n [11, 12, -13, 9, -15, 5, -13],\n [14, 3, -15, -8, 14, 3, -12],\n [0, -11, -11, 12, -14, 7, -10],\n [14, 11, -9, -1, -6, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "44", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 0, 15, 6, 7, -7, 8],\n [-8, 3, -15, 12, 1, 10, 2],\n [8, 10, -1, -10, 15, 6, 1],\n [2, 5, 3, -14, 14, 9, 10],\n [-9, 1, -1, 0, 11, 1, -13],\n [-6, 15, -10, 13, -14, -5, -8],\n [-2, -4, 4, 8, 12, -9, 2]]\nB =\n[[9, -11, -10, -3, 14, 15, -14, 3],\n [10, 12, -8, -5, 5, 0, 10, -15],\n [9, 15, 13, 11, 0, -4, 1, -7],\n [10, -10, -9, -3, 1, -6, -5, -2],\n [1, 15, 0, -11, 2, -5, -6, 12],\n [5, 5, 6, 9, -10, -6, -5, -15],\n [-11, -14, -5, -2, 8, -3, 7, -5]]\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 absolute values of all entries of the result:\nA =\n[[-10, -14, 3, 9, -7, 7, 2],\n [-2, -3, 12, -4, -4, -3, -9],\n [0, 1, -7, -2, 14, -7, -10],\n [10, 14, -15, 8, 6, 9, 9],\n [15, 7, 4, 11, -15, 3, 6],\n [-1, 1, 4, 8, 12, -8, 6],\n [14, 6, -13, 7, 15, -4, 8]]\nB =\n[[-1, 2, -3, 15, -11, 6, 1],\n [12, 5, -13, 3, -10, 11, 1],\n [-11, 5, -11, 3, 6, -5, -15],\n [14, 10, -3, 1, -5, 2, -12],\n [10, 15, 9, -6, 8, 11, 10],\n [-5, 2, -15, -12, -11, -14, 12],\n [10, 6, 8, -4, -5, 12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10571", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[0, -12, -9, 13, 5, 12, 8],\n [7, 5, -3, -2, -5, 15, -8],\n [-15, -8, 3, 1, -7, 11, -3],\n [6, -1, 11, -3, 11, -8, 11],\n [14, 10, -4, -5, 4, -3, 0],\n [-14, -10, 0, 2, 1, -1, -9],\n [-2, -9, -10, -4, -14, 5, -15],\n [2, 13, 12, -11, 5, -9, -1]]\nB =\n[[5, 11, -10, -14, 5, 8, 1],\n [11, -3, -3, -2, 10, 7, -8],\n [-1, -5, -3, 5, 4, -15, 9],\n [-14, 15, -5, -2, 14, -11, -9],\n [8, 15, 0, 14, -5, 10, -1],\n [-12, -6, -15, -9, -4, 13, 10],\n [-5, -5, 9, 1, 14, -15, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-114", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 7) when matrix A is multiplied by matrix B?\nA =\n[[-1, 15, 7, 9, 5, 4, 6, 9],\n [2, 5, -12, 13, 3, -11, -2, 7],\n [-3, 11, 3, 3, 0, 14, 6, 5],\n [3, -15, -6, 15, -14, -1, 3, -12],\n [15, 5, 10, 14, 14, 15, 9, -12],\n [-4, 9, 5, 13, 3, 7, 8, -7],\n [9, 6, 0, -1, -7, 3, 2, 5]]\nB =\n[[-9, 11, 0, -1, 7, 15, -5],\n [-10, -13, -2, -10, 15, 1, 3],\n [2, 15, 4, 0, 8, -13, 15],\n [-10, 10, 14, 1, 4, -11, 5],\n [0, 1, 15, 0, 9, 5, -7],\n [-9, -11, -7, 5, -6, 9, 5],\n [-15, -9, 5, -11, -10, -10, 7],\n [12, -1, -8, -15, -6, 11, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "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, 0, -15, 0, -2, -11, 0],\n [5, 10, 9, -5, 2, -9, 9],\n [-8, 1, 14, -2, 1, -4, 2],\n [-15, 8, -9, -10, -1, 2, -5],\n [9, 13, 1, -15, -14, -9, -6],\n [-2, -4, 1, -2, 3, -6, 8],\n [-4, -9, -8, 13, -3, 12, -10],\n [-8, 15, -11, -7, 10, -5, -3]]\nB =\n[[-15, -9, -10, -8, -14, 1, 1],\n [14, 2, 5, -9, -1, -3, 9],\n [4, 13, 9, -2, 11, -1, -13],\n [12, -10, -7, 11, 15, -2, 13],\n [0, 1, -4, -12, -11, -5, 6],\n [-5, -8, 12, 2, -10, -9, -10],\n [-2, 4, -10, -12, 9, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7383", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, -7, 11, 4, -13, -5, -11, -13],\n [1, 8, -7, -10, 2, 13, -10, -10],\n [6, -6, -5, -2, -4, 9, 4, 2],\n [8, 6, 15, -1, 15, -6, -15, -1],\n [6, -14, 4, -14, -12, 7, 8, -2],\n [3, -2, -3, -15, -6, 15, -2, 1],\n [10, 0, -1, -5, 7, 15, -4, -15]]\nB =\n[[-13, -5, 5, -5, -11, -1, 11],\n [15, 4, 8, 0, -13, -8, 0],\n [0, 6, -12, 10, 11, -1, 3],\n [10, -1, -3, 12, -6, -14, -10],\n [15, 1, 10, -8, 0, 13, 5],\n [-3, 7, 12, -4, 0, -9, 11],\n [-6, -10, -11, 2, 0, 15, -13],\n [15, -13, -11, -14, 11, -15, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10240", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -3, -13, -5, -13, 12, -6, 11],\n [6, 12, -7, 10, 13, -6, 11, 15],\n [-3, 14, 2, 5, 2, 6, 1, 1],\n [9, 10, -11, -7, -4, -4, 8, 9],\n [9, 8, 3, -9, 4, 8, 7, -4],\n [-7, -8, 14, 3, 5, -13, -5, -4],\n [9, 1, -9, 9, -13, -9, -9, 11],\n [-2, -14, 0, 5, -6, -2, 13, -9]]\nB =\n[[-14, 10, -6, -14, 11, -3, 6],\n [-14, -6, -2, 1, 3, -4, 1],\n [-10, -12, -14, 13, -1, 12, 7],\n [7, 8, 0, -4, 12, -9, -3],\n [-15, 3, -3, -15, -14, -15, -4],\n [9, 7, 9, 15, 8, -6, -14],\n [-15, -11, 7, -14, -12, 7, 13],\n [-2, -7, -10, 7, 8, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-672", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[8, 13, -7, 12, 14, -1, 14, -6],\n [-14, 13, 15, 15, 7, 2, -9, 11],\n [-7, 4, 12, 5, 5, 12, 2, 13],\n [-13, -3, -6, 1, -13, 5, -7, 1],\n [0, -10, 12, 2, 12, -10, 10, -10],\n [1, 5, -6, -14, -15, -5, 9, -10],\n [-15, 0, 10, -7, -4, -7, -3, -9],\n [9, -15, 15, 13, -13, 8, -13, 8]]\nB =\n[[3, -12, 13, 12, -4, 14, -12, 5],\n [-6, 10, 11, -12, 7, -5, -12, -5],\n [1, 5, 12, 8, 6, 4, 4, -3],\n [1, 10, -3, 1, 3, 4, -1, -12],\n [2, -5, -7, 0, 8, -13, 11, 2],\n [1, -6, 9, -11, 8, 13, -1, 4],\n [2, -11, 8, -1, -10, -8, 11, -13],\n [-11, 2, 12, -1, 11, -4, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "753", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 6) of the product matrix AB given:\nA =\n[[-15, 8, 5, -14, 3, -3, 4, 2],\n [-6, -3, -11, 7, -3, -7, -15, 10],\n [13, 6, -10, -15, 2, 11, 0, 15],\n [-8, -10, -3, 1, 10, -3, -6, 11],\n [-10, 10, 15, 7, 2, 11, 4, 7],\n [-3, 11, -1, -10, -5, -8, -2, -3],\n [6, -14, -15, -11, -5, -6, 14, -4]]\nB =\n[[-6, -7, -14, 7, 9, -12, -12, 10],\n [5, 13, 13, 14, -10, -4, -9, 9],\n [6, 14, 3, -14, 6, 14, 9, 3],\n [-12, -13, 7, -12, 12, -2, -10, -10],\n [-7, -11, -9, -3, -15, 8, -14, 4],\n [-6, 7, 12, -10, -12, -8, -2, 13],\n [0, -1, -3, -4, -9, -1, -10, 5],\n [5, -2, 11, -1, 7, -5, 6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "165", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -11, 7, 7, 11, -14, 12, 4],\n [-1, -6, -12, 13, 7, -8, -5, 1],\n [-9, -5, 6, -6, -15, 14, 14, -8],\n [-11, -3, -9, 8, 7, -5, 15, -4],\n [-2, -4, 10, 12, 13, -15, -10, 11],\n [15, -5, -5, -4, -15, 4, 4, 8],\n [-10, 13, 14, 7, -3, 14, 14, -4]]\nB =\n[[14, -6, 7, -9, -6, 2, -10],\n [8, -8, 4, 7, -7, 0, 8],\n [-14, 13, -5, 8, 3, -12, -13],\n [-1, -8, -12, -5, 1, -7, 9],\n [-15, -8, -14, 7, -3, -15, 6],\n [-6, -4, 11, -5, -6, -2, -2],\n [-8, -5, 6, -7, -1, 11, -15],\n [9, 3, 15, 2, -4, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1925", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-11, -3, 1, -15, -14, -9, -14, 9],\n [6, -12, 12, -3, -2, 4, -13, -7],\n [2, 9, 0, 3, 4, -7, 3, -10],\n [-4, -1, 5, -10, -11, 13, -2, 11],\n [3, 2, 10, -3, -7, 4, 10, 12],\n [6, 9, 5, -9, 12, 14, 5, 15],\n [-4, -7, -14, -13, -11, 2, 12, -2]]\nB =\n[[6, 10, 3, 5, -11, -6, 0],\n [8, 9, 4, 10, -15, 5, -12],\n [-11, -5, -2, 15, 9, 8, 11],\n [-5, 11, 8, -8, -15, 12, -9],\n [-3, 4, -10, -12, -4, -11, -11],\n [1, -10, -6, 0, 8, 13, 5],\n [-2, -6, 13, 12, 6, 5, 1],\n [-11, -14, -12, 2, -8, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9209", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 6) of the result:\nA =\n[[13, -9, -7, -12, -11, -1, -7],\n [9, 2, 12, 11, -2, -1, -15],\n [3, 10, -15, -10, -8, -12, 0],\n [-5, -12, -5, 15, -6, 1, -7],\n [-6, -8, 14, -2, -3, -13, -2],\n [-2, -13, 13, 0, -6, -12, 4],\n [2, -12, -14, -5, -1, -5, 7],\n [5, 7, -10, 2, 14, 12, 2]]\nB =\n[[-15, -3, -15, -3, 5, -11, 7, 1],\n [0, 5, 2, -6, 1, -9, -1, 3],\n [11, -7, 15, 5, 5, -11, 9, 13],\n [-6, -3, -15, 5, 10, -10, 9, -13],\n [1, -4, 11, -5, -8, 9, -4, -5],\n [6, -11, 12, -8, -4, 6, -10, -7],\n [9, 1, 12, -14, -15, 2, -13, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "265", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-2, -3, -14, 6, -12, -1, -11],\n [-6, -7, 2, -13, -2, -6, 1],\n [-1, 2, 1, 14, 9, -13, 0],\n [3, -3, 7, 1, 9, 7, 0],\n [15, -7, 8, 5, -4, -13, 11],\n [-7, 0, -11, 9, 3, 6, -3],\n [-14, 3, 2, -4, 2, -11, 10]]\nB =\n[[4, 11, 4, 13, -8, 14, 6],\n [0, 10, -14, -3, -15, -11, 15],\n [7, 5, -4, -12, -11, -5, -6],\n [-8, 5, -7, 10, -9, 11, 13],\n [-2, -5, 14, 2, 9, 2, 6],\n [14, -8, -14, 6, 5, 15, -9],\n [10, 13, -11, -2, -2, 15, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-172", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-13, -10, 7, 1, 8, -8, 13],\n [4, 14, 14, 8, -13, 13, -1],\n [-11, 3, -14, 5, -8, -7, -11],\n [-13, -4, -13, 8, 3, 0, 9],\n [10, 0, 15, -15, 15, 1, 5],\n [4, -13, 1, 7, 1, 0, -10],\n [10, 2, -2, 4, -8, 3, -7]]\nB =\n[[5, 6, 2, -15, 5, 1, -12],\n [0, 8, 14, -4, -3, -14, 6],\n [-4, -6, 13, 14, -1, -11, -15],\n [-8, 5, 9, 2, 15, -10, 7],\n [-15, -2, -6, -12, 2, 7, 3],\n [9, -8, -4, -6, -3, -9, 8],\n [1, 10, -4, -10, 7, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6514", "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, 9, 7, 12, 7, -3, -10],\n [3, -3, 6, -7, -5, -6, -13],\n [3, 11, -9, 7, -11, 8, 8],\n [11, 11, -1, -14, -5, -10, -11],\n [4, -9, -12, -11, 8, -11, 11],\n [13, 11, 9, -6, 2, -14, -1],\n [-7, -14, -13, 6, 4, 8, 8]]\nB =\n[[-14, 15, -14, 3, -2, 11, 2, 5],\n [-15, -9, -8, -4, -12, 7, 9, -9],\n [2, 2, 10, -6, -6, -10, 8, -4],\n [-6, 11, -3, 10, 14, 11, -4, 3],\n [-15, -15, -5, 2, 10, 6, -14, -10],\n [0, 11, -15, -7, 12, -1, 0, -2],\n [-9, -15, 0, -7, 13, 9, -5, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9360", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -5, -10, -14, 2, -4, -2, -8],\n [9, -12, 2, 15, 5, -3, 7, -2],\n [4, 12, 9, 12, -1, 4, 8, 3],\n [12, -2, -4, 6, -1, -10, 3, -14],\n [-10, 7, 7, 10, -5, -15, 12, 6],\n [-7, -3, -7, -1, 12, 2, -12, 6],\n [-12, -4, -7, 15, 2, 10, -10, 1]]\nB =\n[[9, 1, 13, -3, -4, -2, -8],\n [13, -1, -7, -15, 1, -6, 14],\n [7, 10, -11, 15, -5, -13, 9],\n [-14, 6, -12, 5, -14, -15, -7],\n [-13, -10, 15, -2, 9, 15, -15],\n [-4, 5, 0, 4, 15, 3, 2],\n [-2, -13, -2, 1, -3, -15, 13],\n [13, -8, 5, -14, 3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2874", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 2, -1, -6, 2, 4, 12, -12],\n [-9, -14, -7, 7, -12, -4, 7, 15],\n [-6, -5, -15, -3, -9, 13, -10, 15],\n [-7, 8, 2, 15, 11, -13, -3, -13],\n [-3, 14, 12, -10, 2, 11, -14, 4],\n [1, -15, 1, -11, 13, -7, -12, -2],\n [-8, 7, -3, -10, -2, -7, 10, 1]]\nB =\n[[-9, -7, -1, -6, -2, 0, 13],\n [14, -14, 15, 13, -12, 5, 15],\n [-1, -5, 5, -5, 13, 7, 10],\n [8, -3, 0, -7, 5, -14, -14],\n [-11, 15, -11, -11, -2, -10, 12],\n [0, 15, 0, -8, 11, -11, -3],\n [-13, -7, -12, 12, -8, 0, 9],\n [-5, 7, 3, -6, 11, 6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9774", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 7, 14, -8, -6, -11, -11, -3],\n [-14, -4, -5, -14, -1, 4, -9, -8],\n [-13, 1, 4, -10, 6, 9, -1, -3],\n [7, -3, -4, -2, -7, -6, 11, -11],\n [5, -11, 5, 14, 4, -10, -4, 1],\n [0, 2, 9, 6, -10, -6, 4, 5],\n [-7, -14, -13, -6, -8, -7, 15, 12],\n [5, 3, 15, -15, 12, -14, 4, -12]]\nB =\n[[0, 5, 9, 14, -4, -14, -1, 15],\n [2, 0, 5, -4, 2, -2, 10, 5],\n [-4, -11, 7, -12, 2, 8, 14, 1],\n [0, -6, 1, -4, -4, 11, 12, 7],\n [-12, -13, -15, -4, 13, -8, -8, -4],\n [-12, 0, -14, -12, 7, -12, 13, -5],\n [11, -13, -6, -4, 1, -7, 5, -14],\n [6, 2, -4, -10, 9, 2, -3, -1]]\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[[-15, 7, -8, 2, 4, 8, -4],\n [15, 14, 4, -4, 9, -15, -6],\n [13, 7, 3, 11, 12, 10, 11],\n [11, 3, -5, 7, 15, 6, -13],\n [14, -2, 2, 11, 11, -10, 10],\n [7, -7, 9, -7, 11, 10, 1],\n [-12, -12, 10, 8, 3, 0, 14]]\nB =\n[[1, -13, 6, -9, 9, -11, 5, -13],\n [-4, 3, -7, -13, -13, 0, 9, 4],\n [-3, -10, -15, -5, 2, 11, 14, -13],\n [2, 14, -5, 10, -1, -13, -4, 14],\n [5, -4, 1, -15, -5, 7, 9, -1],\n [-7, -9, -5, 11, 13, 2, 11, 7],\n [13, 12, 9, 15, -9, 2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-299", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-1, 7, 14, -12, 8, -13, 12],\n [-2, 5, -13, 7, 0, -1, 3],\n [-6, 5, 1, -12, 6, 2, 6],\n [-6, 7, 0, 8, -13, -4, 10],\n [11, 3, 5, -13, -7, -9, 0],\n [5, 5, -15, 9, 14, -1, -14],\n [0, -9, -2, 7, -14, 8, 14]]\nB =\n[[8, 9, 2, -15, 0, -7, 14],\n [-13, 10, -3, 13, -14, 10, 2],\n [-14, -8, -13, 1, 8, -14, -10],\n [-8, 10, 9, 1, 9, 8, -10],\n [-4, 5, 0, -10, -14, 11, -13],\n [15, -7, 3, 13, -6, 7, 11],\n [13, -3, 4, 12, 11, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9137", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[12, 13, 4, 10, -1, -3, -3],\n [14, 10, -10, 12, 2, -9, -13],\n [-15, -4, 7, -11, -5, -4, 7],\n [15, 0, -15, 5, 2, -15, 6],\n [12, -11, -12, -15, -1, -11, -9],\n [1, 4, -10, -3, 8, 7, -1],\n [-9, 15, 8, 13, 15, -9, -3]]\nB =\n[[-12, 11, 6, 12, 2, -8, 3],\n [0, 4, 2, 0, 0, 15, 9],\n [-14, -2, 13, 6, 3, 12, 0],\n [15, 6, -12, -3, -8, -13, 8],\n [-13, 14, -11, -5, -3, -14, -10],\n [-9, 8, 13, -12, -7, 2, 14],\n [-2, 8, -10, 4, -14, -12, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7009", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-13, 13, -12, -12, -1, -5, 7, 1],\n [-1, 9, 5, -13, 7, 7, 8, -6],\n [-12, -3, 9, -14, -10, 3, 8, -8],\n [-10, 4, -2, -8, -10, -4, -7, 14],\n [-9, 9, -3, 14, 0, -8, -2, 0],\n [4, 12, -10, 14, 7, -12, -12, 10],\n [-13, -6, -10, 11, 2, -3, -5, -12],\n [-8, -13, -4, -3, 8, 7, 14, 7]]\nB =\n[[-5, -7, -12, -5, -8, 2, 15, -13],\n [-12, 9, 1, 0, -9, -14, -11, -15],\n [6, -3, -4, 3, 13, 6, -8, -8],\n [-4, -12, -9, 12, 0, 6, 2, -10],\n [2, 13, -12, 5, -7, -3, 3, -4],\n [0, -11, -14, -13, -3, 5, -9, -3],\n [0, 6, -2, 14, 2, -3, -2, -7],\n [-8, 9, 9, -11, 11, 7, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1648", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 9, 9, 6, -13, 8, 1, -6],\n [-5, 4, -6, 2, 5, 12, 12, 7],\n [11, -15, -12, -13, 4, -10, 10, -10],\n [12, 1, 3, 1, 13, 1, 1, -13],\n [-2, -14, 14, 12, -12, 7, 11, 11],\n [14, 15, 2, -14, 13, 12, -4, -1],\n [-3, -5, -9, 12, -7, 11, -1, -13]]\nB =\n[[-6, -8, -10, 15, 13, -2, -10, 3],\n [10, -7, -7, 4, 0, -3, -3, 10],\n [-4, 6, 5, 4, -14, -12, -9, 3],\n [-13, -5, 3, 9, -2, 1, -11, 9],\n [-2, -9, -4, 12, 1, 4, 6, 5],\n [2, -15, -5, -12, -4, 10, -11, -1],\n [4, -13, 10, -1, -8, 12, 14, 6],\n [-5, 15, 14, -4, -13, -10, 15, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1467", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 7) when matrix A is multiplied by matrix B?\nA =\n[[-8, -9, 15, 13, 1, 0, 6, 1],\n [-3, -12, -6, 0, 3, -9, 2, -3],\n [12, -12, 15, 5, 2, 0, 9, 2],\n [0, 6, 12, 8, 12, 7, 14, 15],\n [6, 15, 8, 5, 10, -7, -14, -10],\n [12, 10, 12, 12, 11, 7, 9, 5],\n [-10, 9, 10, -10, -2, -5, 12, 1],\n [-12, -12, 3, 14, 8, 6, 7, 0]]\nB =\n[[9, -8, 3, 15, 4, -15, 14, -12],\n [-4, 9, 5, 3, -14, -10, 4, 6],\n [-13, -13, -15, -7, -9, -7, 11, -15],\n [-8, 2, -13, 1, -9, 12, -5, -11],\n [-3, -5, -13, -3, 4, 12, 12, 10],\n [-10, 6, -1, -14, 7, 12, 13, -14],\n [9, -2, -14, -11, 0, -8, -8, 13],\n [-5, -3, -1, -12, 7, -8, 0, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-129", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 8) of the product matrix AB given:\nA =\n[[8, 5, -6, -14, 2, 5, 0],\n [-12, 14, 4, 3, 9, -8, 4],\n [7, -8, -2, 0, -10, 2, -8],\n [3, 14, -12, -12, -9, -8, -7],\n [-15, 1, 12, 14, -9, 4, -6],\n [8, 5, -15, 2, 10, -2, 3],\n [2, 9, -3, -9, -14, -9, 12]]\nB =\n[[12, -6, 1, 14, 14, 5, -11, -7],\n [-12, 4, 6, -1, -2, 11, 2, 14],\n [-6, 0, 6, 7, 4, -6, -7, 0],\n [-11, 14, 3, 9, -15, 8, -15, 10],\n [8, -11, -9, 8, -1, -5, -4, 1],\n [1, 7, 1, -12, 15, 6, -14, -6],\n [-11, -6, -6, 11, -5, 15, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[-10, 5, -6, -8, -5, 4, 8],\n [11, 3, -9, 12, 5, -4, 5],\n [-10, 15, -4, -11, -3, 1, 15],\n [-7, 11, 4, 5, 1, 3, 3],\n [-8, 11, -8, 9, 14, 10, -1],\n [-9, -10, 14, 0, -8, -13, 15],\n [15, -6, 10, -6, 8, 3, 13],\n [-14, -7, -15, -6, 10, 2, 7]]\nB =\n[[-15, -4, -11, 12, 9, 9, -5],\n [4, 10, -2, -1, -14, 9, 11],\n [-12, 3, -3, 3, -3, 7, -4],\n [-14, -11, 2, 7, 7, 3, -13],\n [8, 7, -12, 2, -4, 13, -13],\n [11, -5, -2, 11, 15, -13, -11],\n [13, -9, 4, 1, 3, -13, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 4, -11, -13, 4, 1, -3],\n [-3, -12, 2, 10, 14, -10, -14],\n [-1, 9, -14, 4, 13, 4, 0],\n [12, -5, 1, 13, 11, 7, -15],\n [-3, -8, -13, -2, 8, 8, 10],\n [12, -2, 10, 5, 14, -2, 3],\n [-5, 11, -4, 11, 9, -15, -15],\n [-2, 2, 13, 10, 6, -14, -12]]\nB =\n[[6, 2, -12, 7, 1, 0, 0, -7],\n [10, -6, -9, -7, 7, 0, 11, 1],\n [7, 11, 9, 13, 8, 0, 0, 12],\n [4, 5, 3, -6, 10, 12, -14, -13],\n [-9, 8, -14, 9, -3, -12, -1, 2],\n [-9, 11, 2, -9, 8, 13, -7, 14],\n [12, -4, 11, -15, -14, 2, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-608", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 15, 14, -5, 9, 3, -8],\n [5, -11, 10, 13, 11, 12, 5],\n [8, -9, 11, 12, 7, -12, 14],\n [-1, 6, 13, -15, 6, -11, 13],\n [1, -3, 11, 1, 3, -12, 1],\n [-4, 14, 10, 7, 2, -5, -12],\n [-4, -7, 8, 2, 11, 11, -7],\n [-15, -10, 3, -15, -8, -10, -12]]\nB =\n[[-13, -3, 10, -14, -3, 5, -1, -8],\n [-4, -8, 3, -7, -6, 5, 7, 11],\n [9, -9, -6, -13, -14, 12, -9, -6],\n [-8, -4, 12, 4, 1, 6, -7, 4],\n [-13, 6, 6, -12, -9, 11, 2, 1],\n [11, 6, -13, -13, -3, 1, 13, 2],\n [3, 1, 8, 0, 0, 6, 9, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "540", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, -2, 12, -1, -12, 4, 5, -5],\n [2, 13, 1, 12, -7, 5, 8, -2],\n [12, -13, 4, 4, 6, -12, 0, 5],\n [-4, 14, 5, -8, -7, -5, 8, 12],\n [-11, -4, 12, 6, 4, -14, -5, -5],\n [5, -15, 1, 1, -12, -2, -11, 15],\n [-12, -10, 2, 5, -3, -10, -1, -11]]\nB =\n[[-10, 8, 2, 13, -9, 14, -10, 10],\n [-8, 9, 14, 8, 14, -11, -12, 3],\n [-6, -7, 7, -15, 3, 13, 15, -4],\n [3, -3, 6, -1, 13, -14, 4, -4],\n [2, 5, 13, 15, -12, 4, -4, 4],\n [-3, -12, -2, 5, 2, -10, -15, -6],\n [2, 3, -14, -1, -13, -8, 3, -5],\n [-2, 0, -6, 1, -1, 14, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "425", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -9, 4, -4, 5, 12, 12, 11],\n [14, 0, 0, -6, 6, 6, -9, -12],\n [8, -14, -7, -1, 6, -2, -4, 1],\n [15, 1, -3, -8, -6, 10, -3, -9],\n [-13, 8, -1, 8, 13, -9, 14, -11],\n [-8, 5, 1, -8, -9, -9, -14, -5],\n [-4, 12, -4, 3, 12, -13, -4, 12],\n [11, 10, -10, -10, 3, 11, 5, -7]]\nB =\n[[7, -7, 2, -6, -6, -15, 2],\n [6, -6, -9, -8, -5, 6, -10],\n [3, 15, -7, -5, -14, -5, 14],\n [-11, 3, 1, 2, 6, -2, -6],\n [1, -5, 15, -14, -6, 5, -15],\n [14, -2, 15, -5, -5, -6, 4],\n [5, -11, -11, -2, 10, 9, 9],\n [-11, -10, 8, 0, 12, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1128", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-10, 4, 0, 3, 4, -3, 3],\n [-3, -8, -10, 6, 1, -11, -8],\n [11, 13, 2, 14, 3, -4, 9],\n [-4, -3, -12, 11, -6, 0, 12],\n [-11, 12, -4, 15, 0, 11, 15],\n [7, 13, -1, 5, -14, 7, 0],\n [-5, 6, 11, -7, -14, 2, -3],\n [-3, -8, -6, 11, 1, 8, 5]]\nB =\n[[-15, 0, 10, -5, -15, -10, -4, 0],\n [10, -5, 2, -14, 1, 1, 4, 5],\n [-12, -10, 8, 11, -1, -5, 2, 1],\n [-14, -3, 10, 14, 11, -10, -5, 14],\n [4, -9, 14, 2, 1, -3, 5, -2],\n [-7, -3, -10, 6, -15, -15, -12, -2],\n [2, 0, -13, 11, -10, 10, 13, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "797", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-15, -5, 12, 13, 12, 11, -6, 2],\n [-12, -10, 13, 3, -7, -6, 4, 7],\n [11, -11, 6, 9, 0, 9, 6, -14],\n [-7, -5, -14, 2, -14, -2, 7, 11],\n [-12, -8, -8, -15, -15, -12, 2, 13],\n [3, -6, 2, -6, -7, 14, 6, -9],\n [-10, -15, 14, -11, 3, -1, 10, 8],\n [15, -2, 15, -9, -7, -4, 1, 2]]\nB =\n[[-14, 1, 8, 12, 4, -9, -6],\n [-1, -15, 8, -5, -8, 11, 10],\n [-4, -13, 9, -1, 5, -11, 12],\n [14, -11, 1, 14, 10, -14, -15],\n [2, 9, -7, 13, 14, -11, 4],\n [-3, -14, 6, -3, 9, 13, -8],\n [-6, 4, -10, -5, -2, 9, -6],\n [-6, 15, -5, -12, 9, 12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12520", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-13, -7, 13, 12, -11, -15, -5],\n [-8, 5, -11, -14, -7, -10, -5],\n [-6, -4, -13, -9, 2, 7, -4],\n [15, -5, -14, 11, 5, -6, -3],\n [10, -3, -1, 9, -3, -7, -10],\n [-13, 15, 12, 4, 4, -7, -12],\n [4, -11, 6, 8, -4, 1, -11],\n [9, 10, -12, -8, -7, 1, 8]]\nB =\n[[-8, -11, -6, 2, 12, 7, -2, 11],\n [11, -11, -1, 12, -11, 6, -4, -6],\n [-8, 11, -15, -13, 12, 0, 7, 14],\n [-5, -7, -6, -14, 4, -5, 4, -5],\n [-9, 5, 12, -5, -11, 7, -4, 15],\n [2, 8, 6, -11, -1, -4, -15, 14],\n [2, -10, -10, 13, -5, 9, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-534", "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, -15, 12, 7, 0, 12, -13, 8],\n [-10, -13, 3, 13, -8, 6, -14, 3],\n [12, -1, 6, -2, -2, 7, -12, 8],\n [3, 14, 6, -9, 0, -8, 11, -1],\n [4, -11, 6, -15, -4, -7, 3, 2],\n [11, -9, -5, -5, 14, 4, 4, 10],\n [-1, 9, 7, 9, 1, -13, 10, -5],\n [10, -3, 12, 14, -10, -2, -5, -3]]\nB =\n[[1, -2, 5, -2, -12, 14, -12, -2],\n [-2, 12, -9, 0, -2, -11, -9, 1],\n [11, 14, -1, 9, 8, -9, 15, -6],\n [2, -5, 6, -2, -12, -13, 13, 8],\n [-2, 4, -13, 11, 15, 5, 13, 9],\n [10, -13, 15, 9, 4, -4, -6, 4],\n [2, -4, 8, -12, 3, 13, 3, 1],\n [-8, 13, -5, -11, -11, -3, -12, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9166", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -4, -2, 5, 12, 5, -7],\n [11, -10, 13, 9, -8, 0, 3],\n [-14, -10, 14, 13, -14, 3, 3],\n [-3, 1, 5, -8, -7, 7, -11],\n [-8, -7, 0, 0, -4, 9, 9],\n [-5, 2, -3, -13, 2, -5, 14],\n [-5, -11, 14, 12, -13, 13, 9]]\nB =\n[[-14, -1, -11, 12, 15, -11, 5, 0],\n [1, 10, -9, 14, -14, 12, 14, -2],\n [2, 9, -4, 1, 9, -10, -11, 5],\n [5, 6, -9, 11, 9, 2, 4, -5],\n [-11, -10, -9, -13, 14, -13, 9, 9],\n [14, -14, 4, -12, -11, -14, 0, -4],\n [-1, 11, 11, -12, 11, 14, -13, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-475", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the product of the following matrices:\nA =\n[[-3, 11, -10, -12, -15, -13, 8, -4],\n [-13, 7, 2, -2, -11, 7, -15, -2],\n [11, -4, -15, 11, 8, -14, -4, -3],\n [11, 4, -1, 0, 3, -11, -14, -10],\n [-8, 5, -9, 5, -3, -10, -7, -4],\n [11, 14, -6, -5, -15, -6, 9, 0],\n [3, -6, -1, -2, -13, -12, -8, -15]]\nB =\n[[4, -1, -9, -4, -13, 7, 11],\n [-11, 13, 10, 11, 9, -8, -5],\n [3, 14, -4, 4, -9, 13, -2],\n [-14, 10, 11, 6, 9, -4, -7],\n [6, -4, -10, -10, 11, 10, 6],\n [3, 4, -10, 10, 1, 1, 13],\n [7, 1, 5, -6, -5, -8, 6],\n [-2, 15, 3, 14, 2, 14, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-273", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[14, 2, 4, 9, 9, 1, -11],\n [9, 14, 14, -12, -5, 0, -9],\n [11, 0, -10, 13, 4, -6, 14],\n [-5, -1, -4, 7, 0, 7, 2],\n [-9, 13, -2, -7, 6, 12, -10],\n [-5, -3, 6, 12, 13, 2, -4],\n [-10, 6, -7, 2, 9, 5, -1]]\nB =\n[[-7, -6, 10, -14, -2, 5, -5, -3],\n [-14, 5, -9, 12, -1, -9, -4, 11],\n [-9, -11, -1, -9, 6, 7, 5, 12],\n [-14, 9, -14, 3, -7, -14, 13, -2],\n [-1, 8, 13, -4, 13, 13, 3, -1],\n [-10, 9, -6, -6, -13, -7, 7, -11],\n [8, 6, -9, 3, 13, -6, -5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7822", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[11, 3, -9, 0, 10, 6, 10, -4],\n [8, 8, 6, 2, -2, 10, 13, 0],\n [10, -10, -15, -3, -10, -10, -10, -4],\n [-7, 4, 11, -9, 11, -13, 8, -1],\n [-14, 15, 2, 5, -15, 15, -15, 14],\n [-5, -13, 6, -6, -4, -10, 8, -9],\n [1, 1, -12, -15, -15, 15, 10, 1]]\nB =\n[[-5, -13, 13, -6, -14, 0, 0, 11],\n [10, -8, -9, -6, 13, 8, -12, 14],\n [-7, -11, -9, -12, -15, 11, -4, 0],\n [0, -8, 9, -3, -7, -6, 14, -8],\n [-15, -13, -11, -9, 12, 0, -8, -15],\n [5, -13, 7, -10, -4, -1, 1, 11],\n [2, 5, 5, 1, 11, -4, 0, -4],\n [-12, 12, 9, -7, -1, -11, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9986", "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, -15, 15, 0, 12, 2, 15, -3],\n [4, 0, 6, 0, -13, 2, 13, 7],\n [8, 9, -5, 12, 10, -3, 8, -14],\n [-13, 15, -15, -15, -1, 6, -13, -12],\n [10, -4, 8, 5, -4, -2, -5, -10],\n [9, -2, 11, 11, -14, -13, 5, 2],\n [-8, -14, 4, 0, -2, 3, 4, -12]]\nB =\n[[-10, 10, 12, -4, 10, -6, -7],\n [-13, -15, -2, -8, 7, 2, 5],\n [-4, -4, -6, -12, 9, 4, -11],\n [-8, 3, 6, -10, 0, 14, 7],\n [-7, -5, -13, 13, -2, -11, 5],\n [5, -10, -15, 15, -3, -7, 12],\n [-13, -10, 4, 7, -8, -12, 10],\n [-10, -4, -4, 10, 14, -9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9237", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 0, -9, 9, 8, -13, -3, 4],\n [15, -7, -5, -9, 7, -1, -15, -14],\n [15, -15, -1, -12, -12, -2, -11, 5],\n [12, -15, -1, -9, 0, 6, 8, -2],\n [-1, -1, 4, -15, 12, 3, 9, 10],\n [-9, 2, 15, -1, -3, 3, 2, 15],\n [-12, 2, -12, 11, 0, -2, 14, -2],\n [-9, -3, 8, -2, -6, -3, -10, 14]]\nB =\n[[-5, 9, -10, 11, -5, 15, 3],\n [1, 9, -13, -15, 0, -4, 11],\n [-2, 2, 12, -13, 8, -8, 2],\n [0, -1, 6, -14, 13, 0, 7],\n [13, 15, -6, 11, -5, 3, 8],\n [3, -6, 6, 1, 8, 7, -15],\n [14, 14, -9, 0, -5, 5, 2],\n [-15, 14, -14, 13, 6, -14, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11520", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, 13, 15, 12, 8, -8, 6],\n [5, 4, -2, 6, 13, 15, 5],\n [10, 15, 15, 4, 6, 9, 9],\n [-8, 10, 1, 9, -11, 11, -13],\n [8, 8, 9, 2, -6, -12, -6],\n [2, 13, -3, 6, 1, -2, 10],\n [3, 2, 7, -8, 2, 0, 9]]\nB =\n[[-5, 1, 2, 3, 2, -2, 1, -8],\n [-1, 1, 5, -5, 13, -10, 7, 3],\n [0, -4, -1, -5, 15, -9, 8, -6],\n [3, -11, 1, 9, 8, 3, -12, -15],\n [-2, 1, 15, -2, -10, 6, 9, 12],\n [-11, -13, 6, 8, 12, -1, -9, -5],\n [-6, -2, -13, -2, 1, -12, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-325", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, -6, -9, -1, 5, 5, 2],\n [-15, -12, -5, -6, -3, 8, 15],\n [3, 6, -6, 14, 2, -7, 14],\n [-7, 4, 12, 11, -4, 8, -2],\n [14, -14, -6, 2, -10, -14, 1],\n [10, 2, 2, 5, -2, 6, -5],\n [14, 15, 3, 0, -8, 2, 14],\n [10, -13, -12, 5, -11, 6, -12]]\nB =\n[[10, 11, -9, 13, 12, 8, 15],\n [4, 9, -10, 12, 8, 9, 1],\n [-2, -11, -1, 7, -6, -14, -4],\n [-5, -9, -9, 3, 9, -9, -2],\n [-4, 12, -6, 11, -11, 7, -9],\n [-10, 4, 8, 12, -14, 13, -3],\n [0, -8, -3, -2, -11, 7, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-193", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-2, 7, 9, 7, -3, 1, -7, -9],\n [2, 5, -5, 0, 10, 15, 2, -9],\n [9, -12, 3, 6, 8, 8, 8, 5],\n [13, -5, -3, 12, -10, 12, -3, -14],\n [6, -2, -3, -11, -13, 8, -12, -2],\n [2, -5, 3, -14, -14, -13, 13, 7],\n [10, 0, 14, -15, -6, -10, 11, 1],\n [3, -4, 4, 13, 0, 8, -14, -1]]\nB =\n[[7, 3, -15, -10, 2, 13, 3, 14],\n [6, -13, 12, -11, 14, -13, 12, -9],\n [-9, 12, -15, 6, -3, -3, -1, 3],\n [-9, 1, -6, 3, 12, 10, 2, 14],\n [-8, -8, 11, 14, -7, -3, 9, 11],\n [-3, -14, -9, -9, 4, 6, -15, -2],\n [-10, 15, -3, -15, 5, 4, 6, 11],\n [15, 11, 5, 5, -13, 10, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2035", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[7, -6, -1, 12, -8, -11, -7, -15],\n [13, 3, -8, -11, 2, 10, -7, 13],\n [-15, 3, 14, -2, -2, -12, -9, 4],\n [-5, -14, 2, -6, -15, 7, -2, 9],\n [12, -6, 2, -9, 14, 15, 8, 3],\n [-12, -2, -7, -12, -10, 8, 10, -14],\n [-15, 7, 1, -12, -11, 2, 10, -3],\n [4, 11, 11, 10, -5, 7, 4, 11]]\nB =\n[[-15, -4, -3, 10, -12, 11, -4, -10],\n [-3, -2, -4, 5, 13, 4, -14, 15],\n [10, 11, 6, -4, -10, 6, -12, 8],\n [-15, 10, -8, -8, 5, 9, -4, 9],\n [10, -12, 0, -2, -2, -14, 1, 8],\n [-8, 11, -9, -3, 13, 15, 15, -5],\n [3, 3, -6, 8, 12, -5, 0, -8],\n [-14, -2, 1, 1, -5, -15, 3, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "37", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 7) of the product matrix AB given:\nA =\n[[8, 8, 9, -12, 8, -9, 4, -15],\n [12, -5, -3, -13, 8, -8, -4, -14],\n [7, -15, 4, -2, 14, -1, 7, -12],\n [4, 14, 15, 11, -9, -15, -11, -2],\n [14, -10, 7, -9, -4, -9, 2, 6],\n [0, -7, -9, 7, 13, -2, -14, 14],\n [15, 13, -3, 14, -9, 9, 3, -14]]\nB =\n[[-10, -4, 13, -14, 1, 10, -4],\n [4, -7, 10, -2, -13, -13, 6],\n [13, 0, -10, 15, -8, -3, 10],\n [6, -8, -8, -9, -11, 4, -15],\n [-3, 6, -8, -5, 14, 4, -9],\n [3, 13, 14, 5, -9, 0, -4],\n [-5, 9, -7, -9, 4, 6, 13],\n [-2, -12, -13, -7, -11, 8, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "109", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[9, -15, 2, -3, -12, 2, -7, 13],\n [-9, -1, -3, -14, -5, 11, 15, -12],\n [13, 6, 2, 9, -13, -14, -4, -12],\n [-2, 0, 5, -12, -4, 14, 14, 3],\n [3, -4, 15, 14, -1, 13, -13, 3],\n [6, -1, 4, 13, 7, -9, -12, -15],\n [-7, -9, 6, -11, 9, 14, 13, -7]]\nB =\n[[10, 11, -10, 8, 7, -4, -3],\n [-15, -1, 0, -14, -7, -6, 4],\n [11, 0, -1, -13, -14, -8, 14],\n [0, 7, -7, -13, 1, -3, 0],\n [9, 14, -11, -11, -13, -3, -8],\n [-8, 1, -1, -12, 6, 9, 2],\n [-9, -6, -15, 10, -12, 10, -5],\n [-1, 15, -1, 12, 7, -13, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-157", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[15, 4, 8, -2, -13, -8, -6],\n [-7, 12, 8, -1, 8, -7, -12],\n [-4, 3, 8, -15, -2, 15, -6],\n [-15, -12, -6, -13, 10, 0, 2],\n [9, -4, 12, 12, 5, 3, -7],\n [8, 4, 10, -11, 11, 12, -11],\n [-8, -9, 3, 6, 6, 2, -1],\n [13, -15, -9, 3, -11, -8, -11]]\nB =\n[[11, -11, -11, -5, -9, -14, 14],\n [1, -5, 4, -11, -9, -15, -7],\n [-5, 12, -4, -6, 4, 6, -5],\n [-15, 9, 4, -11, -1, 8, 6],\n [15, -6, -4, -2, 3, -6, 8],\n [6, -4, 2, 5, 3, -12, 9],\n [3, 5, -2, -8, 13, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-704", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, -12, 9, 0, 15, -4, 2],\n [-4, 2, -12, 0, 2, 3, 0],\n [15, 5, -13, 1, 11, -13, -3],\n [-10, 3, -7, 3, -5, -13, -1],\n [0, -13, -11, -9, 5, -7, 6],\n [-15, 9, 14, 3, 8, -2, 12],\n [-1, -13, 8, -12, 1, 11, -2]]\nB =\n[[6, -9, -8, 0, 6, 0, -2, 1],\n [-11, -7, -13, 5, 6, -11, 4, 2],\n [5, -6, -15, 1, -8, 13, 4, 1],\n [2, -11, -9, 13, 12, -11, 11, -6],\n [15, -10, -9, -13, 11, -6, 5, 8],\n [13, 11, -10, -14, 9, -14, -10, 11],\n [2, -6, -9, 1, -12, -4, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "80", "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, 12, 14, 8, -12, 0],\n [-15, -6, 0, 5, 11, 7, 5, 11],\n [-11, 5, -13, 6, 11, -12, -6, -14],\n [4, 6, 13, -10, -2, 11, 9, 8],\n [-11, 10, 3, 4, 14, 5, -1, 1],\n [13, -4, 9, -3, 4, 8, 5, 0],\n [-1, -5, -11, 14, 12, 2, 8, 12]]\nB =\n[[-3, -5, -6, -1, -9, 14, -4, 2],\n [11, -10, -7, 0, -8, 10, -4, 3],\n [7, 0, -12, 11, 4, 0, -9, 11],\n [15, -3, 7, -4, 11, -15, 15, -5],\n [1, -10, -14, -13, -14, 2, 8, 8],\n [-3, 6, 3, 5, 14, -9, 5, 0],\n [7, 0, -6, -9, 4, 0, -6, 14],\n [-2, 10, 6, -7, -12, 10, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8872", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, -8, -12, -8, 11, -7, -4],\n [13, 12, 0, -8, -1, 1, -3],\n [-2, 12, -1, 12, -7, 5, 8],\n [13, -4, 6, 7, 3, 9, -7],\n [10, -3, 13, 2, -12, 4, -15],\n [4, -13, 11, -5, -14, -10, 15],\n [-13, -6, 9, -7, -2, 0, 11],\n [8, 8, 2, 11, 6, 14, -12]]\nB =\n[[10, 2, -14, -6, -4, -9, 11],\n [0, 1, -2, 8, 13, 5, 10],\n [8, 2, -15, 13, -14, -2, -10],\n [-1, -12, 13, 8, 12, 9, -7],\n [-1, -11, -10, -5, -3, -4, 11],\n [-9, 12, 4, -4, -6, -13, -14],\n [10, 4, 9, 14, 5, -15, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1351", "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, -10, -3, 14, 12, -6, -3],\n [6, 13, -11, -8, 5, -5, 10],\n [3, 3, 14, -12, -6, 8, -7],\n [-9, 2, -7, -10, -10, -3, 6],\n [1, -1, -7, -10, 7, 15, 1],\n [13, -11, -13, 9, 0, -14, 4],\n [-13, -7, 3, -2, -2, 14, 1],\n [-8, 1, 11, 1, -9, -7, -12]]\nB =\n[[-6, 13, -12, 5, -11, -14, -1],\n [12, 9, 10, 9, -7, 14, -7],\n [-15, 8, 8, -4, 13, -3, 4],\n [-3, -2, -6, 1, 1, 15, -2],\n [1, 3, 10, -13, -12, -5, 0],\n [13, -3, 2, -5, -5, -7, 10],\n [9, 10, 7, -14, -13, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8801", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 7) when matrix A is multiplied by matrix B?\nA =\n[[-8, 9, 0, -12, -7, -12, -3],\n [-14, 7, 9, 2, 8, 6, 9],\n [-11, 1, 5, -6, 7, 11, 14],\n [7, -12, 10, -10, 6, 11, 10],\n [-6, 1, -11, -9, -11, -8, -15],\n [9, -14, 0, -8, 5, 15, 10],\n [-1, 7, -5, 0, 11, -9, 1],\n [8, 13, -13, 15, 13, -1, 13]]\nB =\n[[-12, -13, -5, -14, -9, 10, -1],\n [-2, 5, -9, 1, -6, 2, -2],\n [-10, 13, 6, 3, -6, 1, 13],\n [3, 4, 1, -2, -9, 3, 8],\n [13, -9, -4, 14, -10, -8, -7],\n [2, -6, 9, 10, 5, 0, 1],\n [-15, -9, 6, 10, 14, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-4", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-15, 10, -6, -6, -6, -9, 13, 8],\n [-1, -6, 0, 0, 4, -15, 11, -5],\n [13, 3, 2, -13, -1, 12, -10, -6],\n [-13, -6, 13, 0, -12, -15, 6, 2],\n [-12, -11, 5, -12, 3, 4, 15, 3],\n [-13, 4, -3, 9, 9, 8, 4, 2],\n [12, 9, -10, 8, 4, 8, -10, -10]]\nB =\n[[15, 6, 13, 9, 1, 1, -11],\n [1, 10, -7, 4, -14, 3, -7],\n [15, 11, -8, 3, -3, 8, -12],\n [-10, -12, -5, 5, -6, 15, 0],\n [9, 14, 2, 9, 3, 5, 7],\n [13, 14, 14, -4, -2, 12, 2],\n [14, 4, -15, -3, 13, 11, -13],\n [-2, 6, 2, 8, 7, 3, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-849", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 0, 12, 12, -6, 4, 13, -12],\n [-5, 0, -11, 3, 15, -5, 2, -1],\n [-14, 8, -3, 7, -4, -2, 14, -15],\n [-4, -3, 9, -13, -13, -15, -5, -12],\n [10, 14, 15, 12, -5, -14, 12, 14],\n [3, -4, 11, -3, 1, 3, 14, -12],\n [15, -10, -13, -5, 6, -4, -4, 2],\n [15, 14, -2, -5, 8, 5, 1, 6]]\nB =\n[[0, -13, -12, 10, -8, 8, -5],\n [-3, 8, -4, -11, 0, 13, 14],\n [-15, -7, -2, 11, 9, -8, 11],\n [-13, 6, -9, -12, -1, -4, 10],\n [7, -7, 6, 2, 6, -3, -13],\n [-9, 3, 12, 13, -8, -5, 11],\n [-11, 0, 13, -13, 13, -15, 5],\n [-6, -6, 0, -5, 3, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-725", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -6, -12, 3, -1, -10, 6],\n [1, -3, 4, 1, -1, -9, 7],\n [6, -5, 2, 4, 12, 3, 11],\n [-8, 2, -6, 2, 1, -7, -13],\n [-1, 8, 7, -4, 1, 11, -10],\n [8, 6, -7, -6, 14, -13, -10],\n [10, -3, -2, -12, -6, 12, 3],\n [0, 8, -9, 7, -11, -4, -1]]\nB =\n[[14, -15, 6, -10, 3, -11, -7, -9],\n [8, -7, 6, 0, -11, -6, 5, 5],\n [-1, -1, -3, 4, 2, 7, -9, -8],\n [-8, -5, 8, -7, -10, 4, -14, -11],\n [6, 7, 6, -12, 4, -1, -9, -15],\n [3, 10, 14, 14, 2, -14, 7, 5],\n [-3, 12, -2, -13, 0, 9, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-836", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -13, -14, -13, -7, 13, -8],\n [3, 4, 5, 4, 12, -1, 11],\n [-4, -2, 2, 11, 9, -14, 5],\n [-5, 9, 8, -15, 3, 10, -2],\n [-7, -13, 11, -2, 4, -13, 7],\n [9, -12, 9, -14, -14, 9, -1],\n [7, 5, 5, -3, 9, 11, 4],\n [-5, -2, 1, 6, -1, -2, 3]]\nB =\n[[15, 14, -14, -12, 9, -8, -4],\n [15, -3, 13, 7, 2, 1, -3],\n [-4, -9, 12, 10, 0, -2, -11],\n [-5, 8, 5, 10, 5, 15, -8],\n [-7, 2, -8, -9, -8, -1, 15],\n [3, -12, -9, 5, 7, 6, -12],\n [-1, -14, -4, -10, -10, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3021", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 4) of the product matrix AB given:\nA =\n[[-15, -10, 2, 10, 5, 0, 7],\n [10, -15, 5, 9, 3, 13, 2],\n [10, -14, 3, 1, 2, 6, 8],\n [-12, 14, 15, 2, -11, 13, -4],\n [-1, -1, -13, 5, -13, -5, 4],\n [5, -2, -9, 2, -10, 6, -10],\n [7, -5, -13, 13, 5, -2, -4]]\nB =\n[[9, 14, -2, -1, 15, 9, 7],\n [-7, 3, -4, -9, 1, -2, 13],\n [-1, -2, 7, 3, 3, -2, 7],\n [-8, -3, -12, -4, -15, -11, 10],\n [-12, 0, 9, 3, 4, 10, 3],\n [-13, 0, -9, -11, 5, 14, 4],\n [10, 13, 8, -15, -5, 9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-59", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[9, 11, 5, 1, 12, -4, 2],\n [-14, 15, 6, -6, 9, 3, 14],\n [0, -8, -14, -11, 12, -12, 5],\n [-12, -15, -1, -3, 15, 1, -10],\n [8, 7, 4, -3, 5, 8, 14],\n [6, 8, 6, 13, 8, -4, -4],\n [4, -6, -14, -1, 3, 15, 5]]\nB =\n[[15, -12, 5, -2, -15, -15, 12, 2],\n [-1, -5, 15, 2, 13, 8, -6, -12],\n [-2, 6, 2, -15, 12, -9, -12, 15],\n [-12, 2, -7, -14, -11, -10, -13, 11],\n [14, 3, 6, 5, -11, 5, -7, 8],\n [4, -10, 15, -11, 11, -10, 15, -1],\n [-5, 8, 6, 6, 2, 7, 12, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-405", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[12, 13, 3, -4, -4, 13, 13],\n [-9, 0, -4, 14, 5, -12, -6],\n [12, 1, 12, 15, -1, -8, -2],\n [2, 10, -8, -2, 7, 0, 15],\n [3, 14, 11, -9, 1, -11, -3],\n [2, 2, 3, 7, 2, 4, 4],\n [1, 7, -12, 1, 3, -8, 4],\n [-15, -9, -8, -11, -7, 14, -9]]\nB =\n[[-12, 9, 6, 11, -8, -14, -11, -13],\n [-11, 8, 13, 6, -15, -9, -6, 0],\n [-15, 1, -12, 0, -7, -8, 10, 3],\n [6, 1, -6, 1, 6, 5, 0, 6],\n [-7, 12, -11, -14, -2, 1, 15, -3],\n [-3, 11, -3, 14, 2, 8, 15, -15],\n [6, 5, 15, 10, 11, 9, -12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10733", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 6) of the product of the following matrices:\nA =\n[[-11, -5, -14, 11, -14, 9, 13],\n [12, 0, -13, -10, 4, -12, -11],\n [5, -9, -9, 14, 12, 1, -10],\n [-12, -14, -10, -9, -14, 2, -6],\n [11, -9, -7, 3, 3, 8, -14],\n [9, 7, 8, 9, -4, 14, 3],\n [-10, 14, 8, -15, -1, 13, 6],\n [3, -2, 8, 9, -3, 14, 13]]\nB =\n[[-11, -14, -1, 0, -9, 15, 12],\n [6, -10, 12, 1, 15, -15, -10],\n [15, -10, -12, -8, 13, -7, 6],\n [-6, 8, 15, -8, -14, 4, 1],\n [-15, -2, 6, 7, -11, 8, -7],\n [4, 1, -10, -15, 2, 12, -5],\n [-12, 4, -10, -8, 3, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-334", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -14, 13, 12, -12, -12, -4, 2],\n [-4, 11, 3, 9, 10, 9, 12, -1],\n [-6, -9, -14, -3, 0, 5, -8, 15],\n [-15, 1, 11, -1, 11, 6, 7, -2],\n [-9, 14, 3, -6, 4, 9, -5, 15],\n [10, 13, 4, 5, 6, 7, -11, -9],\n [-4, -14, -9, 5, 10, -11, 11, 15]]\nB =\n[[6, -4, 9, -12, 5, 5, 14],\n [15, 3, -13, 12, 1, 14, -12],\n [-7, -14, 13, -6, 4, 9, -7],\n [-8, 2, -5, 3, 6, 2, 3],\n [1, 4, 11, 6, 1, 14, -1],\n [12, 0, 1, -8, 7, -9, 7],\n [5, 15, -12, 13, -9, -5, 14],\n [-13, 9, -14, -15, 15, 8, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9666", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[-10, -2, 13, 14, -12, 0, -6, 9],\n [-11, 13, -5, -15, 1, -2, -9, -2],\n [13, -15, -10, -9, -5, -6, 5, -13],\n [3, 12, -14, 11, -4, -4, -15, -2],\n [-5, -8, 13, -7, 2, 14, -3, 13],\n [-12, 0, -13, -12, -12, -8, -5, -13],\n [15, 3, 12, -10, 15, 11, -13, 5]]\nB =\n[[-12, 11, -12, -14, 0, 9, -11, -1],\n [-11, 7, -4, 3, -1, 12, -10, -15],\n [-11, 5, 9, 12, 5, 8, 3, 12],\n [-5, 15, 6, -2, -2, -14, 9, 6],\n [-11, -7, 1, 3, -1, 13, -14, -7],\n [-5, 6, 11, -10, -1, 5, 4, -12],\n [-1, 2, -9, 0, 6, -13, -4, -9],\n [-7, -6, 14, -15, -4, 11, 12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 6) of the product of the following matrices:\nA =\n[[8, 14, 2, -15, 9, 2, 7],\n [-9, 1, 15, -3, 14, -6, -2],\n [-15, 7, -10, -12, 3, -1, 5],\n [5, 11, 3, 14, 6, -4, -2],\n [-13, 13, -12, -13, 12, -4, 6],\n [14, -7, 3, 0, 14, -15, -2],\n [-3, 7, -4, -11, 4, -13, 7]]\nB =\n[[-14, -5, 4, -14, 0, 10, -8],\n [-13, 5, 11, -12, 15, 5, -12],\n [-8, -10, -2, -1, 13, 1, -11],\n [-15, -4, 3, -4, -5, 6, -7],\n [3, 12, 12, 12, 15, 13, -12],\n [-3, -6, -15, -6, 2, 13, -3],\n [-9, -8, 1, 9, 6, -15, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "125", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[15, 4, -12, 7, 1, -3, -6],\n [-7, -2, 1, 10, -13, -15, -15],\n [4, -14, 14, 0, -7, -2, -15],\n [-13, 2, -15, -5, 9, -11, -5],\n [-10, 8, -9, -3, 7, 0, 9],\n [-13, 10, -1, 15, -8, 6, 8],\n [4, 0, 1, 11, -3, -13, 10],\n [-13, -3, 1, 14, 13, -2, 14]]\nB =\n[[-11, 13, -4, 0, -10, -7, 0],\n [8, -12, -10, 3, -15, 9, -8],\n [-10, -13, 11, 5, -2, 14, 9],\n [7, -14, 0, 6, -3, 9, 0],\n [-5, -5, 0, -6, 1, -4, -11],\n [9, -4, -13, 3, 12, 12, -6],\n [0, 9, 3, 13, -5, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, -6, -1, -13, 8, -6, -4, 14],\n [-7, 3, -15, -3, 9, -9, 6, 12],\n [4, 5, -9, 9, -10, -4, -12, 12],\n [4, -6, 15, 3, -14, -12, -1, -10],\n [-15, 2, -8, -3, 3, 0, -15, -14],\n [3, 15, -2, -1, -14, -3, 4, 13],\n [4, -5, -6, -14, 13, 1, -13, 14]]\nB =\n[[-12, 15, 11, 15, 6, -11, 14],\n [-14, -12, -4, -10, 12, 4, 11],\n [11, 14, -1, -9, 13, -10, 6],\n [15, 10, 14, -2, 2, 11, 13],\n [-9, 9, -10, 8, -10, -10, 4],\n [6, -6, -12, -6, 6, -15, 7],\n [-2, 2, 6, -7, -6, 3, -12],\n [5, 8, -3, -6, -3, 6, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-491", "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, -13, 3, -7, -3, 6, -8, -12],\n [5, 12, 15, -7, -9, 14, 15, 5],\n [7, -5, 9, 14, -1, -3, -13, -13],\n [4, -5, 10, 7, 5, -11, 4, 8],\n [3, -4, 2, -12, 13, -8, -2, 14],\n [0, 4, -8, -11, -7, -14, -8, -9],\n [2, 5, 6, -7, -5, -4, -8, 15],\n [7, 11, 15, 1, 10, 3, -15, 10]]\nB =\n[[6, -13, 15, -2, 2, 13, 15, 10],\n [-14, -8, 15, 1, -7, -4, -9, -15],\n [5, 5, -2, -14, 1, -9, -1, 15],\n [12, -7, -8, -9, -12, -6, -9, -1],\n [14, 14, -3, -8, -7, -7, -11, 5],\n [-10, 14, 0, 0, 8, -2, 3, 3],\n [0, 11, -11, 11, -15, -11, -7, 5],\n [-9, -6, 9, 8, -1, 5, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11379", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[2, 5, -6, 8, 11, -15, 10],\n [-12, 1, 5, -3, -14, -1, -4],\n [-14, -9, -12, -2, 2, -5, -13],\n [-13, 2, 7, -15, -3, 9, -11],\n [-12, -13, 3, -3, 0, 3, -15],\n [2, 11, 14, 15, -9, -13, 6],\n [4, -6, 5, -8, -14, -6, 5]]\nB =\n[[2, -4, -2, 9, -14, 1, 4],\n [-4, -9, -1, -14, 11, 10, 9],\n [-4, 1, -15, 15, -8, -11, 12],\n [12, 9, -8, 6, 4, -2, -10],\n [2, -11, -6, -1, -13, -13, 14],\n [1, -2, 11, 8, -6, 3, 0],\n [1, 4, -3, -15, -15, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "717", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[12, 1, -4, -10, 15, -9, 1, 10],\n [0, -15, 15, 14, -5, -6, 15, 9],\n [9, -15, -5, 8, -13, 7, 0, -15],\n [-9, -5, 1, 3, 12, -2, 7, 0],\n [1, -2, -7, 5, -3, -14, 4, -8],\n [-12, 10, -11, -1, -14, 5, 7, -7],\n [-8, 14, 10, -5, 6, -3, 9, -9]]\nB =\n[[3, 11, -1, -4, -3, -15, 5],\n [9, -8, -1, 6, 13, -2, -8],\n [8, -13, -4, -1, 6, 0, -9],\n [2, -3, 11, 7, 10, -10, -14],\n [-14, 6, 3, -10, 9, -6, 12],\n [15, 1, 3, 0, 2, 11, 3],\n [-14, -13, -1, -1, -4, 4, -3],\n [7, -14, 2, -1, 2, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-601", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 0, 4, 12, 10, -13, 9, 1],\n [10, 2, -4, -9, -4, -13, -4, 9],\n [-1, 1, -4, -7, 6, -15, 9, 0],\n [9, 13, 10, -1, -5, -11, -9, -13],\n [-3, 8, -3, 3, -6, -9, 4, 5],\n [7, -1, 2, 4, -9, -13, 13, 4],\n [-6, -1, -4, 0, 8, 3, -4, 9]]\nB =\n[[5, -14, 14, -8, 10, 8, -3],\n [13, -15, 9, -14, -2, -12, -10],\n [-3, -7, 0, -15, -7, 8, 12],\n [-9, 2, 14, 0, -9, 2, -7],\n [12, 4, -14, -11, -7, -12, 0],\n [5, 8, -13, -10, 1, 14, 3],\n [-8, -6, -6, 0, -10, 10, 15],\n [14, 4, 12, -8, 13, -13, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7934", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -8, -4, 4, -4, -7, 11, 3],\n [9, 10, 6, -1, 15, -2, -11, 13],\n [2, 13, -4, 11, -10, 4, 5, 13],\n [-5, -1, 6, 7, -12, 11, 8, -2],\n [-11, 7, 6, 11, 11, 5, 7, -5],\n [4, -9, -3, 3, 8, 10, -12, 4],\n [-4, -2, -15, -8, 0, 5, 9, 3],\n [-11, -2, -4, -4, 14, 15, 4, -4]]\nB =\n[[-5, -1, -9, -6, 14, -11, -1],\n [-14, 6, -3, -2, 4, -10, 15],\n [-15, -1, -5, -3, 12, 1, -12],\n [7, -5, 15, 7, -15, -2, 5],\n [6, -11, 7, 6, 5, -11, 9],\n [-13, -7, -3, -5, 2, -6, 7],\n [-10, 8, -7, -3, 6, 2, -6],\n [-1, -4, 4, 14, -1, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7682", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 5, -6, -15, 9, 4, -9],\n [7, 7, -5, 5, 15, -12, -12],\n [13, 5, 6, -6, 7, -11, 13],\n [0, 12, -4, 9, 14, 9, -15],\n [-11, 2, -12, 11, -1, 7, 10],\n [-10, -9, 3, -2, -1, 5, 0],\n [6, -1, 11, -10, -10, 9, -10],\n [-4, -14, 9, -12, 7, -10, 15]]\nB =\n[[9, -6, 13, 3, 8, -11, -10],\n [-2, -1, 3, 3, -9, 6, 2],\n [10, 13, -4, -8, 12, 5, 7],\n [-13, -1, -6, 5, 12, 3, -4],\n [-13, 12, -2, 1, 11, -13, -9],\n [11, 9, 1, -1, 4, -6, -9],\n [6, 4, 11, -13, 6, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-459", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-11, -14, -7, 2, -3, 4, 8, -9],\n [-12, -8, 11, -10, 8, -12, -11, 4],\n [7, 4, 5, -7, -8, -14, -9, 12],\n [2, -6, -13, 1, -14, -13, -11, -3],\n [-3, -10, -2, 7, -11, 5, 11, 8],\n [-15, -7, -13, 11, -10, -12, -14, 14],\n [15, 14, 0, 13, -10, -2, -6, 8]]\nB =\n[[-12, 8, -9, 1, 15, -11, -2],\n [0, -8, 0, -10, 9, -5, 7],\n [-14, -15, 12, -7, 13, -11, -14],\n [11, -2, 13, 4, 15, 10, -3],\n [-4, 6, -7, 8, -10, -12, 14],\n [-6, -11, 11, 11, -12, 4, 8],\n [-12, -3, 0, -5, 3, 2, 10],\n [-15, 5, -12, 10, -7, -7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "334", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, 5, -10, 4, 13, -10, -8],\n [12, 5, 8, 8, 3, 6, -15],\n [-11, 7, 5, 3, -14, 12, 0],\n [-14, -7, 2, 0, -9, 15, -7],\n [-4, 3, 15, 7, -15, 12, -10],\n [11, -14, 10, 1, 5, -2, -3],\n [6, -5, 0, 2, 4, 14, -13]]\nB =\n[[-15, -2, 1, -13, -4, -14, -14],\n [-4, 10, 14, 5, -11, 12, 7],\n [0, -11, 14, -13, 10, -10, 3],\n [-4, -8, -10, -2, 7, 13, -13],\n [-5, -9, -7, 8, -5, -3, 2],\n [15, -6, 10, 13, -14, 14, -9],\n [14, -1, -6, -4, 4, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9552", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 11, 3, 6, -10, 8, 7, 3],\n [15, -15, -14, -1, -5, 10, 2, -15],\n [15, -12, 6, -12, 13, -12, 11, 9],\n [2, -15, -9, -2, 0, -1, -11, -3],\n [-11, 2, 13, 6, -11, -11, -10, -2],\n [-14, -1, 0, -11, 11, 0, -15, 13],\n [13, -8, -15, -9, 13, 15, -10, -8],\n [15, -11, 11, -1, 6, 4, 10, 10]]\nB =\n[[0, 1, -5, 7, -14, -15, 1],\n [-15, -14, 12, 1, 13, -12, -4],\n [13, -6, -6, -1, -5, -9, -6],\n [3, 9, 2, -14, -9, 13, 9],\n [-2, 6, -5, -15, 6, 4, -11],\n [-12, -2, -13, 2, 2, 10, 11],\n [-12, -13, 11, 12, 6, -6, 13],\n [0, -13, 3, 4, 14, -1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11926", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[15, -5, 15, -7, -3, -5, 5, -2],\n [15, -15, -7, -3, -14, 13, -12, 0],\n [-6, -10, -7, -14, 9, 9, -15, -4],\n [12, 11, 6, 12, 6, 9, 6, 13],\n [14, 0, -14, -3, -8, -15, -11, -6],\n [-13, -5, 6, 14, 12, -11, -4, -4],\n [-3, 13, 10, 13, 13, -2, -12, -13]]\nB =\n[[1, -8, 0, -5, -11, 0, 8, -7],\n [-3, -8, 6, 10, 8, -11, -7, -10],\n [-14, -9, 14, 1, 10, -4, 15, 15],\n [-15, 12, 14, -1, 15, 8, 15, 12],\n [5, -5, -6, 0, -7, 14, -4, 6],\n [-1, 13, 0, -15, -10, -3, -15, -3],\n [-11, -13, -4, 10, -6, -7, 1, -10],\n [-2, -13, 9, 2, 12, 11, -9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12520", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 15, 3, 0, 3, 3, 1, 13],\n [9, 9, -10, 9, 9, -15, 3, -1],\n [-13, 1, -10, -12, -8, 6, -12, 5],\n [12, -14, -6, -4, -15, -4, 7, -6],\n [-4, 3, 13, -13, 6, 3, 7, -9],\n [5, -15, -3, -7, 0, 15, 2, -1],\n [4, -1, -1, -6, 10, 2, -1, -4]]\nB =\n[[-15, -3, 15, 1, 1, -9, -5, -4],\n [-7, -1, -15, 10, 6, -5, -11, 14],\n [3, 2, 2, 15, 2, 7, 4, -9],\n [-2, 10, -15, 12, 10, 4, -7, 0],\n [7, 10, -10, -9, 2, -15, 10, 9],\n [0, 2, 2, 3, 12, -3, 3, -13],\n [4, 11, 1, -5, 13, 1, 14, -4],\n [-4, 4, 0, -15, 12, 4, -3, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-597", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -9, 6, -14, 2, 12, 1],\n [0, 4, 2, 5, 12, 12, 4],\n [0, -15, 5, -11, -1, -3, -11],\n [2, 4, 14, -11, 0, -5, -5],\n [6, 7, 10, 11, -13, 3, -6],\n [12, -14, 9, 1, -13, -13, -8],\n [0, -4, 15, 6, 3, -15, 3],\n [-12, 1, 3, -12, -1, -9, 4]]\nB =\n[[1, 9, 6, -7, -9, -12, 1, -1],\n [7, -7, 12, 0, -10, 12, 1, 9],\n [-9, 1, -2, -1, 4, 5, 2, 3],\n [2, -2, 4, 7, -11, 14, -9, -4],\n [1, 14, 3, 0, -14, -4, 13, 1],\n [5, -13, -8, -11, 5, 7, 8, 1],\n [5, 9, 11, 12, 9, -2, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1481", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 8) of the product of the following matrices:\nA =\n[[-12, 15, 15, -1, -14, 5, -12, 13],\n [1, 13, 7, -13, 6, 12, 5, 0],\n [-4, 4, -13, 9, -11, 0, 10, -9],\n [4, 0, 1, -14, -4, 10, -3, -11],\n [0, 14, 12, -8, 8, 12, -2, -8],\n [13, 9, 2, 4, -4, -5, 0, 10],\n [6, -1, -3, 6, 12, 12, 5, 15],\n [2, 8, -15, 13, -15, 12, -15, -7]]\nB =\n[[5, -2, 12, 2, 11, -15, 4, -5],\n [-14, 3, -14, 8, 14, 3, -14, -10],\n [7, -1, 9, -5, 10, 0, 4, 5],\n [14, 11, 6, -13, -13, 3, 5, -5],\n [-10, 9, -7, 12, -11, 14, 8, -9],\n [4, -15, -13, -5, 10, 5, -6, -3],\n [13, -13, -5, 4, -7, 9, -5, -7],\n [-3, -7, -2, 0, 12, 1, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, 12, -5, -4, 14, -5, 13, 2],\n [8, 9, -4, -8, 9, 5, -6, 12],\n [7, 11, -13, 4, -12, -3, 10, 4],\n [11, -8, -14, 12, -14, 5, -10, 15],\n [4, 12, -9, 10, -12, -8, 2, 14],\n [-6, 4, -5, -9, -11, 10, -5, 2],\n [0, 3, 4, -11, -9, -13, 9, -6],\n [3, -11, 13, -11, 7, 6, -5, 3]]\nB =\n[[-4, 15, 1, 6, 11, 6, 4],\n [-1, 2, -7, 6, 13, 1, 8],\n [10, 15, 7, 11, -5, -10, -4],\n [-5, 11, 1, -6, -3, -11, -12],\n [-9, -1, -14, 1, 7, 8, 5],\n [-8, 0, 15, 4, 8, 11, -13],\n [7, 6, 1, -11, -2, -2, -2],\n [-5, 12, 15, 4, -3, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2879", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -14, -4, -8, 0, -15, 0],\n [-10, 4, -10, -13, -7, 3, -13],\n [5, -9, -2, 14, 6, -2, 7],\n [9, -13, -11, -11, 3, 11, -6],\n [-7, 13, 0, -7, -10, -11, -12],\n [4, 5, 2, 0, 8, 12, -9],\n [-2, 14, 7, 1, -8, -5, 1],\n [-2, -7, -10, -8, 1, 6, -3]]\nB =\n[[-3, 1, 3, -14, 14, 2, -12],\n [-9, 12, 0, 3, -1, 7, 9],\n [-2, -3, 4, -9, -1, -15, -14],\n [8, -13, 5, 8, -11, 0, 12],\n [1, 13, 2, 10, 0, -5, -13],\n [-6, 2, 0, -7, 5, -15, -5],\n [-5, 11, 15, -3, 12, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-229", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[11, -7, 9, 12, -10, -12, 12, 12],\n [-7, 11, 9, -1, 2, 10, 6, 11],\n [-12, 3, 10, 0, -10, 11, -4, -1],\n [-1, -1, 0, 14, -2, -8, 9, 12],\n [9, 15, -14, -1, 13, -8, -5, 0],\n [-8, -11, 4, 9, -12, -4, -6, -12],\n [3, -6, 13, 12, 13, 3, 3, -5],\n [7, -3, 5, 9, -14, -2, 4, 2]]\nB =\n[[11, 0, 8, -12, -15, 10, -13, -4],\n [7, 12, -13, 5, 15, 2, 15, 8],\n [-12, 13, 1, -4, 4, 15, -8, 9],\n [1, -2, 6, 4, -5, -8, -15, 5],\n [1, 4, 12, 2, 13, -6, -7, -14],\n [4, 15, -13, -15, 12, -15, 2, -8],\n [2, 14, -15, 6, 1, -6, -7, 6],\n [-6, 6, -15, 0, -9, -13, 1, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12491", "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, -12, 3, -14, -14, -3, 11],\n [3, -15, 12, 15, 10, 7, -1, -14],\n [15, 12, 0, 6, 12, -2, -10, -5],\n [-2, 4, -12, 1, 0, 11, -10, -8],\n [13, -3, 10, -12, 0, 1, -12, 0],\n [-14, 4, 8, -3, -13, 12, 14, 13],\n [5, -6, 11, 2, 9, 14, -13, -15]]\nB =\n[[7, -5, -11, 15, 9, -13, -5],\n [-15, -1, -9, 8, 11, -14, -1],\n [2, 9, 13, -12, -15, 14, -7],\n [-7, 15, 6, -10, -2, -7, -14],\n [-7, -3, 4, 4, 13, 9, 7],\n [-4, -6, 12, 14, -11, 8, -4],\n [13, -15, 7, -12, -3, 2, -14],\n [-5, 12, 9, 6, 11, -12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10108", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, -7, -14, -12, -2, 1, -15, -13],\n [-15, 4, 14, 6, 13, 5, 9, -3],\n [-2, -4, -5, 2, -14, 12, -13, -12],\n [-7, -5, 6, 13, 9, 5, 9, -7],\n [1, -1, -7, -9, 11, -8, -13, -15],\n [-12, 1, -15, -12, -8, 12, 1, 10],\n [10, -4, 9, 6, 0, 13, -11, 9],\n [9, 9, -3, -3, -4, -13, 12, -4]]\nB =\n[[15, 8, 10, 14, 4, 4, 12],\n [7, 15, 8, 4, -5, -6, 13],\n [0, -10, 1, -3, 2, -4, -11],\n [4, 0, 14, -13, 0, -5, -2],\n [6, 10, 6, -3, -5, -2, -6],\n [8, 15, 2, -9, 7, 2, 13],\n [6, 5, -14, 9, -8, 7, -1],\n [14, -10, 5, -3, 9, -11, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1157", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, -13, 9, -1, 11, 14, 8, -7],\n [1, 1, -3, 2, 4, 10, -11, -3],\n [15, -9, -12, -3, 1, -8, 11, -13],\n [9, 15, 0, -14, 11, -15, 10, -8],\n [14, -13, 1, 11, 3, 8, 0, 11],\n [4, -6, 11, 7, 8, -1, -9, 0],\n [1, 4, -3, 13, -6, -7, -9, -4]]\nB =\n[[15, -15, 8, 0, -12, 14, -2, 14],\n [12, 7, 13, 6, 7, 10, 10, 1],\n [-4, -1, 6, -4, -13, -6, 4, 1],\n [-2, -3, 14, -3, 10, -8, -2, -14],\n [3, 7, -14, -4, 4, -4, 7, 12],\n [3, 0, -14, -8, -14, -6, 0, -9],\n [11, 3, 4, 6, 11, -13, 1, 12],\n [-8, -12, -15, 2, 6, 15, -15, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "663", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -9, -8, -8, 6, 8, 7, -15],\n [-13, -7, -8, -11, -15, -14, -6, -2],\n [-1, -6, -7, -4, -6, 8, -7, 2],\n [3, 3, 1, -14, -6, -11, -9, -10],\n [14, -14, -8, -12, 11, 2, 15, -12],\n [-8, 14, 15, 1, 11, 9, -2, -8],\n [-2, -8, 10, 9, -2, 7, -5, -7]]\nB =\n[[15, 1, 1, -4, 4, -14, 8, 1],\n [4, -5, 11, 14, -7, 2, -10, -12],\n [-2, 12, 4, 6, -6, 13, -12, -1],\n [-7, -4, 12, -8, 8, -11, 0, 6],\n [-1, 1, -15, 15, 9, -4, 4, 3],\n [-11, 14, -1, -7, 9, -13, -4, 7],\n [15, 3, -1, -13, 4, 2, 6, 0],\n [-1, -11, -6, -6, -3, 2, 12, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "869", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 15, -14, 14, 2, -12, 3],\n [9, 13, -11, 12, 1, -14, -1],\n [7, 8, -10, 13, 7, 2, -2],\n [-4, -10, 12, 6, 4, 11, 4],\n [2, -13, 10, -10, -12, 3, 14],\n [1, 12, 15, -5, -2, 11, -5],\n [13, 3, 1, -12, -4, -12, 11],\n [-4, 1, -1, -9, 5, -15, -11]]\nB =\n[[-4, -9, 6, 10, 15, -1, -11],\n [8, -7, -15, -10, 0, 15, -1],\n [-14, -3, 8, -11, 0, -15, 5],\n [-6, 0, -3, 5, -14, -12, 13],\n [6, -15, -5, -7, 7, -10, -15],\n [-8, -8, -12, -12, -15, 13, 15],\n [9, 14, -8, 13, 10, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "915", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 8) when matrix A is multiplied by matrix B?\nA =\n[[7, 4, 3, -5, 14, 12, 10, 4],\n [-6, 13, -10, -9, -14, 7, 10, 2],\n [11, 2, 1, -3, -1, -5, -9, 1],\n [3, 11, -8, 1, 0, 15, 12, 14],\n [-2, 6, 12, 2, -7, 2, 6, 4],\n [9, 0, 1, 1, 0, 10, 3, -5],\n [-10, 3, -9, -7, -4, 10, -14, -12]]\nB =\n[[-13, 6, 5, -4, -13, -7, -4, -8],\n [3, 10, -11, 5, -11, -8, -13, 3],\n [8, -7, 5, 15, 10, 8, -2, 5],\n [12, 4, -14, 11, 14, -1, 13, 14],\n [-12, -14, 7, 7, -7, 12, -12, -11],\n [-5, -12, -12, -1, -11, -13, 0, 14],\n [9, 14, 7, -15, -15, -15, -13, -7],\n [13, -3, 8, -3, 15, 9, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "31", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-3, 10, 9, 5, -8, -8, 14],\n [3, -11, 8, -6, 3, -13, 6],\n [-9, 7, -10, -9, 14, -9, 4],\n [-8, 8, -14, -1, -6, 5, -1],\n [-14, -13, 3, -11, 8, 3, -9],\n [5, -2, -4, 10, -6, -6, -12],\n [2, -10, 4, -12, -11, -2, -7]]\nB =\n[[-1, -15, 5, 5, -3, -14, -1],\n [-1, 0, -13, -3, 4, -15, 10],\n [-2, -13, 1, 1, -7, 4, 4],\n [-12, -5, -1, 9, -3, 11, 12],\n [8, 4, -4, -1, -10, 2, 6],\n [1, 5, 8, 1, -5, 2, -13],\n [7, 15, 12, 8, -12, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-687", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-15, 3, 14, 4, -11, -3, 0],\n [0, -5, -7, 2, -1, -3, -9],\n [-13, -4, 10, 2, -7, -13, 8],\n [-15, 5, 5, 6, -9, 3, -4],\n [14, -2, -3, -11, -4, -8, -10],\n [2, -9, 3, -1, -6, -7, 4],\n [0, 11, 4, -12, -6, -6, -8],\n [-15, -13, 8, -4, -9, 6, 7]]\nB =\n[[-15, 8, 4, 15, -15, -12, 2, -11],\n [-15, -15, -11, 2, -7, -6, 15, -9],\n [15, -1, -2, -12, -2, -9, -8, 8],\n [-8, 12, -11, 7, -5, 7, -14, -1],\n [3, 11, 2, -1, 3, 9, -9, -12],\n [-2, -8, 13, 7, -6, -3, -10, -12],\n [-11, -6, 8, -3, 3, -5, 12, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10735", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -11, 9, -11, -15, 5, -7, -9],\n [-7, 10, -6, 14, 5, -13, 2, -7],\n [-11, -5, 13, -15, -14, 2, 12, 4],\n [-2, 6, -8, 14, 13, 13, 3, -2],\n [10, -2, 10, 6, 4, -8, -7, 9],\n [-2, -4, -3, -10, 15, -2, 15, -1],\n [-14, 2, 14, -6, 9, 5, -9, 6]]\nB =\n[[9, -11, -8, 4, -3, -9, 9],\n [2, -7, -4, 8, 10, 1, -6],\n [-9, 12, 5, -11, 7, -1, 0],\n [11, 0, -6, -2, 4, 1, -10],\n [-15, -5, -15, 15, -4, 8, 4],\n [-1, -11, -6, 10, 1, -6, -9],\n [11, 2, -10, 15, -7, -14, 6],\n [12, -4, -11, -1, -3, 13, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "587", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-14, 15, -1, -2, -7, 0, -14, -15],\n [9, -7, 9, 8, 4, -2, 9, -14],\n [-15, 12, -6, 7, 6, 3, 2, 8],\n [15, 4, 6, 4, 13, -5, -7, -1],\n [12, 0, -3, 5, -10, 9, 15, -1],\n [-1, 6, 2, -5, -15, -2, 9, -14],\n [-14, 4, 10, -6, 0, -13, -2, 14],\n [7, -9, 3, 3, 9, 7, 3, -13]]\nB =\n[[-3, 3, 9, -2, -8, 13, 7, -8],\n [1, 9, 5, 13, -11, -11, 9, 5],\n [-14, 6, 7, -5, -1, 7, -9, -5],\n [14, -14, -10, -7, 1, 3, -4, -10],\n [0, 7, -14, 10, 8, -5, -1, 13],\n [-10, 12, 9, -7, -7, 9, 2, 10],\n [-3, 10, 13, 7, -11, 15, 9, 1],\n [10, 7, 10, 5, -5, -7, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-724", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, 8, -7, -7, -6, 4, -10, -12],\n [-15, -10, 8, -10, 13, -4, -13, -3],\n [8, -6, -7, 1, -5, 11, -10, -6],\n [8, 2, -2, 14, -12, -3, -15, 4],\n [-14, -13, 4, -13, -10, 13, -9, -5],\n [15, -9, 1, 5, 3, -4, -15, -15],\n [2, -6, 8, 4, 14, 10, -13, -2]]\nB =\n[[-8, 0, 2, -7, -12, 11, 9],\n [-15, 5, 10, 7, -2, -5, -12],\n [12, 12, 5, 0, 11, -7, 6],\n [13, -2, -10, -14, -15, 4, 10],\n [3, 11, 7, -9, 6, -1, -11],\n [-13, -1, -12, 13, -11, -12, -13],\n [-14, -11, 2, -14, -1, 2, 14],\n [2, -8, -4, 7, -7, 3, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1999", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 9, 13, 1, -15, 4, 10],\n [1, 9, -10, -11, 11, -11, -5],\n [-5, -5, -4, -4, -14, -13, 12],\n [-9, 4, -2, 6, 0, 8, 15],\n [-2, 1, -1, -5, -3, -10, 1],\n [-4, 12, 12, 8, -12, 5, -6],\n [2, 3, -9, 7, 14, -4, -5]]\nB =\n[[8, 13, -13, -14, -14, 15, 6, -14],\n [11, -1, -12, 9, 10, -13, 1, -14],\n [10, 13, -6, -9, -7, 9, 4, -1],\n [-8, 1, 11, -5, 0, 14, 6, 14],\n [8, 2, 8, -12, 2, 4, -8, -1],\n [-3, -12, 13, -2, -1, -1, 8, 7],\n [-11, 8, -1, 2, -13, 4, -6, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-963", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, -1, -15, -15, 0, 12, 11, 1],\n [-2, -1, -2, 5, 15, -14, -13, 8],\n [-4, 10, 8, 12, 10, 15, -14, -8],\n [11, -4, -7, 10, -2, 10, -10, 1],\n [-5, 11, 3, 5, -3, -13, -13, 9],\n [5, -2, 15, -8, -9, -12, -13, 3],\n [11, -14, -11, -4, -14, 2, -1, 0]]\nB =\n[[-4, -4, 12, -12, 6, 12, 6, -8],\n [-5, 6, 6, -12, -4, 5, 11, 7],\n [-6, 11, -7, 0, -12, 10, 1, 6],\n [2, 11, -9, 6, -7, -10, 14, 6],\n [4, 12, 9, -13, -1, -15, 11, 10],\n [8, 8, 15, 11, 1, -7, -14, -10],\n [15, 9, 0, -3, -10, 7, -1, 9],\n [-11, 1, -7, 10, 14, -3, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1435", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-8, 2, -11, -3, 8, 7, -9, 4],\n [-3, -14, 10, 3, -2, 14, -2, -7],\n [-12, 1, 10, 4, 13, 0, 15, 8],\n [14, -8, 10, -1, 10, 2, -6, -12],\n [-9, 8, 1, -8, -15, 6, 5, -6],\n [-1, 7, -10, -6, 14, -15, 15, -10],\n [-3, 14, -13, -4, -1, 15, 6, -9]]\nB =\n[[-10, -7, 0, -4, -7, -8, -11],\n [10, -13, -12, -5, -6, -8, -7],\n [-3, 8, 10, 3, 7, -5, 8],\n [-13, -15, 7, -2, 3, -15, 7],\n [11, -4, -2, -1, -9, -12, -2],\n [2, 0, 10, -2, 5, -5, 11],\n [9, -10, -1, -6, 14, -4, -7],\n [12, 1, 2, -5, -10, 3, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "945", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 7, 4, -3, 13, 10, 15, -7],\n [11, -4, 0, 13, 3, -14, 0, 11],\n [14, -11, 15, 12, 9, 1, -10, 8],\n [-9, -10, -13, 9, 5, -1, 12, 0],\n [1, -7, 10, -7, 1, 13, -9, 9],\n [-14, 10, -10, -6, 1, -2, -13, 11],\n [0, 0, -11, 0, 7, 11, -11, 8]]\nB =\n[[-11, -10, 2, -4, 5, -9, 1, -6],\n [-7, -7, 8, -5, 9, -2, -11, -9],\n [1, 7, -7, 3, 9, 5, -3, -7],\n [-3, -2, -8, -2, -3, 11, 7, -6],\n [6, -14, -4, 0, -9, -14, 0, 6],\n [-10, 0, 9, -3, -6, 11, 4, -7],\n [-14, 5, 0, -13, 6, -14, 13, -6],\n [9, 4, 7, -11, -8, -4, -12, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1555", "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, 11, -1, 5, -13, 8, 6, -1],\n [-12, -1, 9, -7, 2, 10, -3, 15],\n [-7, -12, 9, -3, -6, -8, -2, 0],\n [10, 14, 3, 14, 10, -9, -4, 15],\n [-3, -1, -1, 2, -14, -2, 4, 10],\n [-9, 4, -14, 12, -14, -11, -13, -13],\n [15, -15, 3, 15, 4, -4, 6, 11],\n [-10, 12, 5, 4, -10, -3, 13, 5]]\nB =\n[[-6, -15, 0, -2, 12, 2, -2, 9],\n [-6, 4, 6, -11, -14, 1, -15, -15],\n [-10, 10, -9, -9, 15, 9, 0, 3],\n [14, -7, -15, 2, 15, -9, 12, 2],\n [-6, 11, 4, -14, -5, 2, -5, -2],\n [-3, -15, 9, -6, -1, 3, 15, 13],\n [1, 15, -6, 6, -8, 7, -9, 2],\n [11, -12, -10, -14, -3, 5, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10613", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -14, -5, 7, -8, -12, -12],\n [-5, -2, -7, 4, 10, -2, 12],\n [-13, 11, -3, -2, 1, -13, -1],\n [5, 13, -14, 5, 9, -6, 11],\n [6, -1, 3, 5, -4, 1, 0],\n [-8, 9, -11, 9, 8, -1, -8],\n [2, 5, 12, -8, 3, 1, 14],\n [11, -12, -12, 10, 4, 4, -7]]\nB =\n[[11, -2, -15, -7, 7, -3, 14, 5],\n [2, 14, -6, 12, 10, 15, 10, -12],\n [11, -1, -12, 4, -5, -4, -3, -14],\n [-8, -12, -7, -14, 7, -11, -11, 7],\n [15, -12, 3, -7, -4, -13, -11, -14],\n [7, -3, 12, 11, -9, 12, 5, -8],\n [9, 13, 4, -5, -4, 2, 2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9826", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[15, 13, 0, 4, 6, -10, 2, 1],\n [2, 8, 5, -13, -7, 12, 12, -9],\n [8, 6, -9, 15, 3, -15, -15, -15],\n [-5, 11, 12, 7, 2, -3, 12, 6],\n [14, 14, -1, 1, -6, -8, 5, -7],\n [3, 2, -8, 11, -11, -2, -3, -15],\n [-5, -4, -10, 15, -4, -13, -8, 13]]\nB =\n[[6, -14, -10, -13, -9, 0, 15, 1],\n [-4, -1, -2, -15, 10, -4, 4, 7],\n [4, -2, 0, 9, -1, -8, 5, 15],\n [-15, -3, 14, -13, 8, -4, 15, -9],\n [-8, 1, 2, -6, -1, 7, 5, 5],\n [12, 13, -6, -7, -15, 5, 7, -11],\n [-1, -2, 10, -5, 7, 1, 5, -2],\n [14, -10, 6, -12, -3, 5, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9726", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 5, 15, -4, 7, -4, 8],\n [14, -12, -14, 4, -10, -10, 6],\n [-15, -5, 7, 7, 13, 5, 13],\n [-4, -12, 12, 0, 11, 3, 11],\n [-5, -5, -3, -3, -8, -5, 0],\n [-3, 8, -13, 11, -5, 5, -8],\n [-6, 10, 14, 6, 2, 1, -9]]\nB =\n[[2, -6, 10, 4, 11, 6, -3],\n [-9, 7, -9, 4, -5, -6, 10],\n [-4, -3, -4, -4, -10, -13, -8],\n [1, 14, 15, -3, -8, -11, 8],\n [12, -12, 0, 2, -12, -5, -8],\n [10, -15, 11, -3, 5, 11, 6],\n [-12, -12, -12, -3, 3, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1695", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 3) of the product matrix AB given:\nA =\n[[-2, -6, -11, -1, -10, 3, -2, 11],\n [-5, -13, 9, -14, -10, 8, -8, -15],\n [14, 12, -2, 0, 1, -8, 1, -3],\n [3, -7, -13, 2, -15, -3, -3, -4],\n [-15, -6, 3, 6, -9, -2, -10, -10],\n [-7, 4, 0, -11, -1, 14, -15, -12],\n [-6, -10, 7, 11, -14, -6, 6, 3],\n [7, -7, -5, -12, 8, -6, -10, -13]]\nB =\n[[-3, 3, -13, 4, 14, 2, -4, -4],\n [5, -4, 14, 8, 12, 13, -9, -7],\n [-4, 3, -12, 15, 8, -6, 11, 3],\n [1, 2, -6, 10, 8, -4, 7, 4],\n [-8, 3, -15, -12, -10, 6, -12, 0],\n [15, -8, -7, -1, 2, -13, 12, 8],\n [1, -15, -9, -6, -1, 7, -3, 7],\n [13, 13, 15, -11, 12, -9, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "85", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 6, -10, 3, -1, 14, 14, 0],\n [7, 15, 6, -4, 5, -13, -13, -10],\n [6, 5, 3, -4, 0, 2, -12, 4],\n [10, -3, -3, 15, -14, 14, 15, 12],\n [-7, 11, -5, -13, 1, -4, -11, -2],\n [10, 3, 6, 1, 14, 10, -12, -15],\n [14, 1, -6, -8, 10, -5, 4, -6],\n [3, -10, -5, 0, -6, 9, 6, -15]]\nB =\n[[-8, 1, 3, -7, 4, -8, -7],\n [15, 0, -2, 8, -10, -7, -5],\n [6, -1, -1, -11, -8, 4, -13],\n [4, 12, 9, -12, -9, 1, -4],\n [-10, 8, 7, 5, -12, 2, 0],\n [-15, 13, 1, -11, 9, 7, 2],\n [-10, 10, 7, -3, -8, 11, 9],\n [3, 12, 0, 2, -9, 8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-764", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, 12, 14, 5, 9, 15, -15],\n [-7, 13, -6, 5, 14, 2, 6],\n [-15, -3, -2, 7, -9, 15, 12],\n [13, 10, -8, -15, -14, -5, -15],\n [8, -4, -8, 12, -13, -6, -1],\n [-4, -14, 9, -11, 15, -7, 2],\n [-10, -5, -2, -15, 7, -12, -9]]\nB =\n[[-7, 1, 1, -5, 7, 10, 11],\n [-4, -1, -14, -8, 4, 7, 10],\n [-14, 8, -10, -15, 9, 11, 2],\n [-12, 9, -8, -8, -2, 4, -2],\n [-15, 10, 4, -13, -1, 11, 3],\n [-15, 9, -13, 4, -15, 3, 1],\n [-3, 4, 0, 10, -4, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-110", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[11, 8, 8, 1, -5, 6, -8],\n [-6, 0, 13, -6, 8, 9, -8],\n [-11, 1, -3, 9, -6, -6, 10],\n [10, 5, 7, -4, -4, -9, -5],\n [4, 8, 11, 10, 9, -4, -12],\n [2, -6, 4, -14, 12, -15, -2],\n [1, 11, -12, 14, 9, 14, 15]]\nB =\n[[-7, 15, -9, 5, 6, 1, -13, -15],\n [-6, -11, -12, 3, -10, -10, -7, 4],\n [-7, 13, -1, 4, -8, 8, -14, 14],\n [-6, -2, 12, 8, -14, 11, 8, 6],\n [-3, 3, 12, 11, 14, 13, 13, 14],\n [-9, -4, -10, -13, 14, -11, -12, -2],\n [13, -10, 1, 1, 8, -3, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10592", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, 13, 8, 14, -14, -2, 11, -11],\n [-8, -1, -7, 0, -3, 6, -1, -12],\n [9, 0, -4, 4, 6, -4, 15, -1],\n [-11, -15, 4, 10, -13, -8, -9, -3],\n [-6, 15, 1, -5, -8, 7, -1, -4],\n [2, -6, -4, 14, 14, -12, -1, 2],\n [9, -3, 8, 1, -15, 8, -11, 1],\n [11, 4, 2, 13, -7, -6, 6, 11]]\nB =\n[[9, 1, -15, 11, -12, 2, -1],\n [-1, -15, 6, 8, -15, -5, -5],\n [10, 10, -10, -15, 15, -2, 8],\n [-10, 14, 1, -7, 1, 9, -2],\n [3, -8, 8, 7, -4, -14, -13],\n [5, -3, -11, 2, -15, -11, 5],\n [-4, 3, 8, -10, -14, -14, 4],\n [15, -3, -2, -10, -4, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1041", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[8, -8, 15, -2, 2, 14, 11, -12],\n [-10, 14, 6, 15, 12, 10, -10, -1],\n [8, 8, 14, -3, -9, -3, 5, -10],\n [-10, -2, -13, 15, -5, -3, -13, -4],\n [7, 6, 5, 11, 6, 6, 4, 12],\n [11, -11, -3, 7, 11, -5, 1, 12],\n [13, -6, -4, -10, -11, 6, -15, 4],\n [8, 4, 14, -1, 0, 13, -6, 8]]\nB =\n[[11, -8, -14, 6, -9, 7, -15],\n [4, 14, 7, -10, 15, -3, -4],\n [3, 10, 10, 1, -11, 11, 8],\n [-1, -2, -13, -11, 15, 9, -2],\n [-8, -5, 9, -1, -3, -11, -3],\n [-13, -3, -5, -7, -12, 1, -1],\n [11, 15, 2, 0, 8, -14, -10],\n [-4, -11, 9, 8, 1, 3, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "91", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-4, -11, 12, 8, -9, -14, 14],\n [-4, 7, -11, 6, -8, -11, 0],\n [-7, -15, -11, -15, 1, -15, -1],\n [-11, -7, 2, -10, 5, -4, -2],\n [-9, -9, 3, -10, 15, -13, 0],\n [0, 2, -11, 4, 13, -12, 0],\n [-12, 8, -3, -2, 1, -13, 9]]\nB =\n[[-13, 1, -3, 5, 4, -6, 13, 8],\n [11, -4, 11, -7, 10, 5, -15, -12],\n [3, -10, -1, 2, -11, -8, -5, -11],\n [5, -8, -5, 5, 4, -6, -7, -14],\n [1, -12, 10, -4, 3, 9, 3, 3],\n [10, 13, -9, -3, 12, -14, 11, -8],\n [-10, 12, -5, 12, 14, -7, -8, 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[[8, 4, 11, -1, 5, 11, 10, -5],\n [-1, 7, 6, -11, 0, -14, 14, 15],\n [-1, -11, -1, 10, 7, -5, 13, -10],\n [-10, -11, 14, 14, 15, 9, -15, 4],\n [-9, 0, 1, 13, 12, 11, -1, 4],\n [6, -6, -8, 7, 12, -7, 15, 7],\n [3, -6, 4, -13, 9, 15, -5, -5]]\nB =\n[[-8, -6, 13, -7, -6, -6, 2, -11],\n [-11, -9, 4, 4, -8, 1, -10, 9],\n [-3, -3, -3, 0, 15, -14, -11, -6],\n [-6, 9, 15, -5, 12, 4, 15, 9],\n [8, -7, -3, -3, 13, -14, 10, -11],\n [15, 10, 9, -11, -4, 4, -8, -10],\n [2, -8, 12, 5, 7, 4, 9, -14],\n [12, -6, 9, 4, -10, -11, 0, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11371", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -12, -15, -2, -2, 8, 3],\n [-10, -4, 2, -7, 4, 7, 15],\n [9, -3, 11, 3, -3, 3, 3],\n [14, 15, 5, -6, -10, -13, 10],\n [0, -7, 1, 7, 11, -7, -11],\n [3, 13, -1, -6, -12, 8, -4],\n [-2, -1, 3, 15, -11, -4, -13]]\nB =\n[[-1, 14, -1, -4, -1, -10, 12, 1],\n [7, -1, -1, -5, 14, 6, -4, 6],\n [3, -15, 0, -5, 15, -15, 7, -12],\n [14, -10, -12, 8, 12, 9, -14, 1],\n [-15, 15, 14, -3, -4, 12, 7, 13],\n [14, -14, 3, -4, -12, 9, 10, 2],\n [14, 10, -14, 13, -15, 15, 8, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-614", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, -3, 8, -11, 3, -15, -14, -2],\n [-7, -8, 10, -5, -12, 13, -13, -11],\n [8, -2, -6, -10, -6, 15, -5, 4],\n [-8, -12, 5, 2, 10, 4, 15, 10],\n [-2, 10, -13, -4, -1, 12, 8, -8],\n [-2, 7, -10, 9, -2, -12, 4, -10],\n [0, 1, -14, 2, -3, 10, 4, 0],\n [5, -3, -2, 14, 2, -8, -11, 8]]\nB =\n[[-7, -1, 13, 11, -7, 4, -6, 2],\n [-2, 11, 2, 0, 12, -11, -6, 4],\n [-10, -7, 7, 0, 12, 14, -5, 4],\n [7, 2, -11, 12, 11, -7, -5, 14],\n [-7, -12, -8, -11, -13, 13, 6, -12],\n [13, 0, -3, -13, -12, 13, -15, 10],\n [-8, -7, 6, -11, -4, -7, -12, 14],\n [1, -4, -3, -5, 7, 1, 14, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[12, -7, -12, -4, -13, 4, 1],\n [6, -9, -9, 5, 14, 10, -4],\n [10, 5, 6, -6, 12, -8, -7],\n [-2, -10, 3, 6, -1, 4, 4],\n [11, 11, -9, 6, 8, 11, -8],\n [-13, -5, -12, -14, -15, -9, 8],\n [-4, 15, -8, -3, -10, -9, 8],\n [4, 8, -10, -4, -9, -6, 14]]\nB =\n[[-9, 8, 11, 14, -1, 5, -14],\n [-8, 1, 15, 0, 13, -3, 2],\n [5, -12, -4, -5, -14, 15, 4],\n [7, 5, 15, 0, -3, -12, -14],\n [2, -15, 10, 14, 6, -10, 4],\n [9, 13, 4, 3, 11, -6, -7],\n [1, 13, -1, -14, 1, -9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-104", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[13, 0, 1, 11, 11, -15, 6],\n [6, 11, 0, 12, 5, -12, 0],\n [8, -13, -15, 1, -11, -13, 3],\n [-5, -1, -14, 9, 11, 13, 6],\n [-9, 2, 11, -15, -8, 14, 0],\n [10, -1, -12, -3, 9, -4, -7],\n [-3, -5, -4, -12, 10, -13, -11],\n [-10, 10, -12, -15, 7, 15, -11]]\nB =\n[[-14, -2, -5, 14, -7, -8, 10, -9],\n [15, 13, -1, -7, -6, 2, 14, 13],\n [3, 9, 6, -14, 6, -2, 14, 5],\n [-6, -11, -11, -14, 14, 6, -3, -9],\n [9, 14, 5, 11, -1, 11, 5, 15],\n [-1, 9, -10, -9, -12, -12, -15, -5],\n [-11, -14, -11, -11, 4, 15, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13739", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 6) of the result:\nA =\n[[-6, -3, -7, -11, -10, 14, 1],\n [12, -11, 12, 9, 12, -5, -10],\n [-7, -4, 13, -12, 2, -1, 9],\n [-12, -2, 11, 14, 2, 1, -14],\n [5, 3, 13, 6, -2, -12, -14],\n [-3, -9, 12, 11, 6, -8, 13],\n [-6, 5, -13, -12, 5, 5, -10],\n [9, 4, -9, -9, 15, 6, 1]]\nB =\n[[9, -10, 3, 11, 2, 14, -4],\n [12, 3, -5, 1, -13, -1, -11],\n [-12, 10, -15, 5, -13, -6, 11],\n [14, -3, 14, -9, -2, 10, 14],\n [11, -3, 8, 5, 10, 8, 6],\n [6, -11, -5, 10, 6, -2, -15],\n [8, -11, 8, -13, 10, 6, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 4, 14, -4, 14, 10, -3, -10],\n [-13, 13, -5, -5, 12, 12, 5, -6],\n [-5, 0, 4, -6, -4, 3, -7, -12],\n [10, -1, 7, 5, -9, -11, 3, 6],\n [9, 15, -1, 12, -10, 4, -1, 1],\n [3, -13, 2, -6, -1, 2, 8, -1],\n [8, 3, 4, -11, -5, -7, -11, -5],\n [6, -9, 11, -14, 4, 6, 4, 5]]\nB =\n[[3, 2, 14, 0, -15, -13, 10],\n [-7, 1, -8, 5, 0, -4, -12],\n [-11, 11, -9, 14, 8, 2, 6],\n [14, 4, -2, -8, -3, 12, -12],\n [-4, -13, -11, -12, -1, 12, -11],\n [-7, -2, 11, 0, -13, -1, 14],\n [2, 2, -2, 9, -9, 10, 12],\n [4, -10, 10, 0, 6, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8152", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[4, -15, 2, 5, -2, -2, -8, 7],\n [9, 1, 2, -1, -6, 4, 0, -9],\n [13, 15, 13, 1, -11, 2, -2, 15],\n [2, 2, -1, 9, -5, 10, -11, 0],\n [15, -8, -3, 10, 6, 11, 1, 10],\n [-7, -1, -9, 11, 2, -2, -8, -14],\n [2, -12, 8, 7, -14, -6, -10, -5],\n [11, 4, -6, 13, 1, 8, -8, -10]]\nB =\n[[0, -6, 14, 7, 12, 13, 3, 9],\n [-12, 11, 15, -14, 4, -14, -4, -12],\n [0, -14, 0, 12, -1, -2, -5, -1],\n [8, -10, 14, 8, 11, 0, -15, 9],\n [12, -5, -2, -14, 8, 0, -12, -2],\n [0, -1, -14, -3, 1, 12, 4, -6],\n [-1, 1, -8, -14, 8, 10, -15, 7],\n [7, -11, -13, 6, -5, 0, 5, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1224", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, -7, -2, -6, 6, 0, -7],\n [-13, 12, 14, 13, -15, 12, 6],\n [4, -5, 10, 15, 4, 4, -15],\n [-11, -7, -13, -4, 2, 12, -14],\n [15, -6, -9, 14, 6, 15, 2],\n [0, -3, -15, -9, 14, 15, -5],\n [-10, 5, -11, -6, 13, -13, 11]]\nB =\n[[-1, -4, -11, -2, -4, 6, -5, 7],\n [7, -3, -6, -6, 8, 5, -2, 4],\n [0, -4, 7, 2, 8, -12, -6, -15],\n [2, -1, 1, 5, -15, 11, -2, -4],\n [9, 11, 15, -5, 4, 10, 3, 14],\n [9, -12, 1, 2, -12, 11, -15, -10],\n [-9, -15, -10, -13, 7, 0, 11, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2376", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-14, 15, -5, 15, 4, -5, -8, 3],\n [8, 7, 5, -1, 12, 4, -2, 10],\n [10, 2, 9, 4, -11, -14, -14, -14],\n [10, -14, -7, 13, -4, 5, 11, 6],\n [4, 2, -13, 14, 3, 15, 0, -5],\n [11, 10, 8, 8, -1, 6, -5, 13],\n [-6, 11, 8, 3, 7, -11, -2, -7]]\nB =\n[[9, 5, -10, -15, 12, 14, -4],\n [-2, -12, -1, 1, 4, -4, -15],\n [-3, 14, -6, -12, -10, -7, 2],\n [-14, -10, -5, 10, 12, -3, -10],\n [-4, 3, 2, 14, 3, 12, -4],\n [4, -3, 4, 7, -12, 10, 14],\n [6, -10, -3, 14, -6, -13, -7],\n [-1, 14, 10, 14, -11, 10, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9322", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 6) of the product of the following matrices:\nA =\n[[15, 9, 10, 6, 6, -7, 13, 10],\n [-1, -3, 5, -13, 3, -14, 2, -2],\n [6, 8, -3, 11, 8, -8, -6, 7],\n [-14, 15, -6, 11, -14, 13, 10, 7],\n [-12, 6, -7, 5, -6, -12, -13, -9],\n [7, 7, 0, -11, -3, -6, 8, 11],\n [-14, 0, 4, -15, -10, 6, 3, -15]]\nB =\n[[12, -11, -4, 14, 1, 3, -8, -6],\n [9, -13, -7, -9, 8, -10, -1, -3],\n [-2, -11, 10, 13, 8, 12, 14, 14],\n [15, 14, -14, -9, 14, -15, 0, -9],\n [-1, -10, 4, 3, -7, 6, 14, -10],\n [13, 1, -11, -1, 12, -9, -2, 4],\n [12, 14, 2, 15, 13, 9, 6, 9],\n [8, 15, 1, 2, -14, 13, 2, -2]]\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[[-12, -9, -9, -15, -8, 4, 8],\n [-6, -7, -9, -13, -4, -13, -11],\n [-9, 14, -4, 7, 9, 15, 1],\n [-2, -13, -15, 6, 12, 10, 7],\n [2, -2, 9, -3, -4, -11, -13],\n [-2, -9, -9, 1, -10, -1, 3],\n [-1, -9, -11, -1, 4, -3, 10]]\nB =\n[[-9, -3, -3, 15, -3, 7, -8],\n [-11, -12, 1, 4, -2, -5, -6],\n [-15, -9, -10, -9, 8, -1, -10],\n [2, -14, -7, -10, 6, 1, 8],\n [14, -5, 8, -12, -9, -1, 9],\n [14, 11, 13, 1, -4, -3, 5],\n [-3, -8, -9, 13, 10, -12, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3588", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[1, 0, 3, 15, -14, 5, -2],\n [0, 1, -12, -8, -7, 15, 0],\n [0, 1, -13, 6, 5, 12, 1],\n [2, 2, 7, -10, 13, 15, -10],\n [-15, 13, 0, 1, -12, 0, 10],\n [15, 6, 11, 6, 5, 4, -14],\n [7, -4, 0, -10, 0, -9, -2],\n [-13, -15, 1, 4, -12, -9, 13]]\nB =\n[[-9, -12, -9, -8, -7, 6, -1],\n [-12, 10, 2, 9, -4, 7, -10],\n [-12, -12, 2, -15, 5, -10, 10],\n [-7, 1, 5, -5, 13, 5, -7],\n [-5, 11, -12, -3, 13, 3, -13],\n [6, 15, 11, -15, 1, 1, -9],\n [-2, -11, 14, -2, -5, 15, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-16", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, 11, 14, 15, -13, -10, -9, 3],\n [-7, -14, 12, -4, -9, -6, 4, -1],\n [9, 7, 8, 11, 10, 3, -10, 4],\n [-3, 4, -4, 2, 0, -5, 10, 9],\n [-5, -15, -15, -9, 15, 10, -9, -12],\n [-2, 8, -11, 6, -4, -12, -13, 2],\n [8, 11, -11, 10, -10, -2, -10, 4],\n [9, 7, -4, 12, 10, -4, 13, -8]]\nB =\n[[7, 4, 9, -14, 14, -11, 14],\n [2, 8, 9, -13, 0, -11, -7],\n [-10, 3, 6, 9, 11, 11, 0],\n [10, -9, -12, 0, 4, 1, 3],\n [12, 9, 1, -3, -14, -14, 8],\n [6, 7, 11, -12, 0, 11, -12],\n [4, -4, 6, 12, 12, 13, 13],\n [4, -2, -15, 1, 8, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1839", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[9, -6, 8, -1, 1, 10, -5, 8],\n [9, 4, -9, 4, 13, 3, -5, -15],\n [2, 7, 6, -1, 15, -3, 8, 11],\n [0, 3, -10, 12, 6, 12, 0, 2],\n [-15, 2, -7, -3, 0, 6, 3, 15],\n [10, 7, -15, 14, 13, -8, -6, -9],\n [-13, -3, 4, -5, 7, 4, -11, -3]]\nB =\n[[-4, 0, 1, -2, 5, 10, 14],\n [-6, -3, 14, -4, -12, 3, -4],\n [9, -15, -6, 5, 10, 13, -14],\n [-11, 5, 10, 11, 1, -12, -9],\n [-1, -15, 12, 13, -2, 10, -1],\n [-14, 4, 10, -14, 0, -14, 0],\n [1, 2, 3, 0, -12, 1, -15],\n [7, 5, -3, -9, 10, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, -15, -8, -6, 15, -12, 9, -3],\n [2, -7, -8, 14, -10, 5, 3, 0],\n [-15, -1, -10, -6, -11, -8, -15, -3],\n [10, 0, 1, -9, -1, 8, -2, 10],\n [12, 1, 9, 7, -9, 8, -2, -8],\n [-3, -15, -12, 13, 13, -5, -7, 3],\n [6, -12, -15, 3, 3, 15, 13, 3],\n [-5, -10, 9, -9, 7, -15, 13, -1]]\nB =\n[[9, -12, -3, 8, -4, -15, -8, 9],\n [5, 7, -5, -6, -14, 1, 12, -3],\n [11, 6, -7, 0, 12, 1, 14, -6],\n [1, 4, -6, 6, -2, -1, -7, -14],\n [-2, 5, -9, 12, -12, -3, 6, 6],\n [-12, -12, -7, -5, -15, -3, 5, 11],\n [9, -7, 9, 2, -9, -2, 10, 8],\n [1, 2, -15, 13, -7, -6, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-966", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[5, -12, 8, 3, -8, -13, 6],\n [-12, 13, 14, 15, 15, -8, 7],\n [-4, -11, 13, 14, 15, 13, -13],\n [-11, 14, -12, 8, -5, 5, 10],\n [10, 0, 5, 2, 9, 15, -10],\n [11, 0, -15, 3, 4, 0, -6],\n [10, -2, 2, -3, 11, -3, 10]]\nB =\n[[-1, -12, 2, 15, -1, -10, 13, -6],\n [-1, 9, -15, -11, -7, 11, 7, -2],\n [-5, -10, 0, 7, 14, 13, -7, -13],\n [-8, 1, 10, 6, -7, 1, -11, 8],\n [15, 10, 15, -5, -10, 6, -2, -13],\n [8, 14, 1, 12, -12, -8, -10, -5],\n [9, -15, -1, 15, 0, -14, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "571", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-2, -15, -5, -12, -3, 9, 4],\n [9, -10, -11, 10, -12, -3, 10],\n [2, -3, -8, 3, -1, 13, -15],\n [-5, 0, -6, -9, 15, -8, 7],\n [4, 0, 8, -6, -12, 15, -4],\n [5, 0, 8, 13, 2, 0, -3],\n [0, 10, -1, -8, -1, 5, 5]]\nB =\n[[-9, 4, 3, 13, 6, -2, -10, -3],\n [10, -4, 6, -9, 4, -13, -13, -13],\n [-1, 0, -3, 0, -14, -10, 1, -10],\n [8, 6, 2, 7, -4, 3, 9, -4],\n [11, 8, 6, 1, -14, -2, 12, -3],\n [8, -10, 1, -7, 14, -8, -2, -14],\n [-6, 12, 5, -13, 14, 1, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-50", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[-4, 11, -9, -13, -10, -13, -12],\n [0, -1, -15, -14, -15, 10, 2],\n [-12, -10, -5, 14, -4, -8, 14],\n [-2, -6, 9, 15, 10, 7, -12],\n [-1, 14, 0, -2, -1, 7, 1],\n [11, -4, 14, 15, 14, -3, -2],\n [10, -5, -5, -10, -15, 8, 4]]\nB =\n[[-8, -8, 14, 14, 2, 6, -3],\n [10, -2, 14, -1, -12, 3, -3],\n [-7, 0, 12, 10, 12, -7, -14],\n [5, 15, 10, -6, -9, -7, -8],\n [10, 4, 3, -15, -15, 9, 4],\n [-8, -12, 12, 6, -12, -1, -14],\n [1, -8, 0, -10, -15, -11, 3]]\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[[2, -13, -14, 10, -14, -15, -13],\n [3, -12, -13, -8, -4, 13, -12],\n [-2, -6, 1, 14, 2, -9, -3],\n [6, 9, -3, 6, -14, -8, 9],\n [5, 6, 4, -5, -14, -4, -11],\n [5, 14, 0, 14, -15, -4, -11],\n [-15, -13, 11, 9, -12, -7, 6]]\nB =\n[[1, -4, 3, 13, -13, 14, 4],\n [15, -6, 4, -8, -13, -5, -1],\n [4, 12, -4, -13, -9, 6, -15],\n [-6, 1, -10, 3, 9, -4, 13],\n [12, -14, -4, 13, 3, -7, 12],\n [-10, 1, -14, -9, -10, -2, 1],\n [10, 2, -10, -4, -10, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8147", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -7, 2, -6, -6, 11, -2, -7],\n [-7, 10, 9, -7, -13, 10, -7, -3],\n [-6, 9, -13, 14, 13, 4, -12, -2],\n [-3, 4, -9, 5, -9, -10, 7, -8],\n [-10, 9, -12, 12, -11, 9, 9, 2],\n [-14, 9, 6, 8, -2, 8, 8, -2],\n [-11, -5, 11, 10, 4, -13, 0, 4]]\nB =\n[[-8, 4, -1, -2, -2, -8, 8],\n [14, -15, 0, 11, 11, 12, -4],\n [-2, -7, -2, -3, 3, 6, 14],\n [0, 3, 9, 1, 7, -11, 12],\n [-13, 12, 11, 7, -15, 6, -9],\n [9, 15, 9, -9, 5, 7, 11],\n [15, 1, 14, -9, -3, 12, 13],\n [-3, -6, 4, -14, -10, -9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3507", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the product of the following matrices:\nA =\n[[-3, 13, 7, -8, 5, -3, 10],\n [-5, -6, 13, 11, 8, -12, -6],\n [15, 1, 12, -8, 4, -11, 13],\n [4, -1, 7, -6, 3, 2, 10],\n [-4, -14, -9, -5, -1, -4, -6],\n [-3, 6, -14, 8, 14, -1, 6],\n [-8, -10, -12, -8, 4, 6, -11],\n [4, 7, -8, -2, 6, 1, 7]]\nB =\n[[4, -14, 3, 10, -12, -2, -9, 9],\n [0, -6, -5, 6, 10, -11, 9, -4],\n [8, 8, 8, -1, 8, 8, -6, 10],\n [7, -14, 2, -5, -11, -10, -3, 9],\n [1, 11, 0, 7, 7, 8, 13, -15],\n [12, -3, -6, -3, 4, 10, 5, 2],\n [2, 11, -12, -13, 0, 13, -9, 14]]\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[[-9, 15, -14, 0, -11, 5, 14, -8],\n [-8, -5, 13, 4, -6, -15, -10, 12],\n [-9, 1, 8, 0, -2, 9, 8, -13],\n [-7, -6, -13, -4, -12, -4, 6, 7],\n [-3, 8, -9, 3, 11, 11, 2, 11],\n [2, 14, 12, 13, -7, -9, -9, 5],\n [-3, -10, -9, -3, 9, 10, 4, -10]]\nB =\n[[1, 7, 4, 2, 4, -8, 2],\n [-1, -15, -15, -9, 0, 7, 4],\n [-2, 12, 5, 13, -4, -11, -9],\n [-4, 3, -11, -9, 12, 11, -9],\n [-3, 9, 4, 1, 14, -11, -2],\n [-5, 4, 3, 7, 9, -12, 6],\n [1, 1, -13, -2, 5, -10, 9],\n [15, 9, -6, 11, 1, 14, -14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1223", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[15, 11, -4, 8, 5, 0, 0, -13],\n [9, 2, -9, -6, -8, 12, 2, 1],\n [-13, -8, 4, 13, 15, -11, 9, 4],\n [-4, 9, -10, 12, 7, 8, -6, -6],\n [-15, -7, 2, -13, -15, -6, 11, -13],\n [14, 2, -9, -9, 6, -6, 12, 11],\n [-3, -12, -4, -13, 7, 0, -5, -13]]\nB =\n[[9, 10, -8, -9, -2, -14, -6, -13],\n [8, 12, -5, 3, -8, 4, -11, 14],\n [-7, -3, -5, 10, -14, -4, -13, -1],\n [12, 12, -15, 8, 12, -5, 9, -6],\n [9, -13, -2, 5, 0, -7, -2, 5],\n [-15, -15, -12, 7, 7, 7, 13, 6],\n [13, -15, 11, 3, 5, -4, 4, 11],\n [-12, -7, -9, 9, 13, -2, 7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10210", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[-13, -1, -5, -6, 4, -1, 9],\n [1, 3, 15, -5, 4, 15, 0],\n [-12, -9, -5, 4, 10, 8, 1],\n [3, 10, -6, -1, -10, -3, -13],\n [-8, -9, -11, 2, 11, 5, 0],\n [-7, -5, 5, 12, 3, -2, -9],\n [-4, 3, -8, 5, -11, -10, -5]]\nB =\n[[10, 13, 6, -13, -5, 7, 9],\n [-4, -15, -12, 4, 15, -15, -10],\n [-14, 11, -3, 0, -5, -2, -10],\n [0, 1, -6, 13, 5, 6, 10],\n [15, -3, 15, -3, -14, -15, 7],\n [-15, 14, -9, -3, 1, -7, -3],\n [0, -11, 6, 14, -9, -15, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "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, -4, -14, -15, -1, 1, 4, -13],\n [15, 14, 11, -10, 0, -6, -3, -8],\n [1, 12, -9, 8, -11, -8, 13, 11],\n [-15, -14, -12, -15, 13, 5, -6, -13],\n [-14, -9, -14, 9, -10, -8, -13, 5],\n [3, -7, -15, -8, -10, 7, -14, 7],\n [-2, -15, -9, -5, 0, 8, -14, 15],\n [10, 2, 3, -6, -12, 8, 12, -13]]\nB =\n[[-3, -10, 13, -6, 11, -8, -6, -14],\n [4, -1, -15, -5, 8, -15, 12, 9],\n [6, 0, -4, 14, 13, -4, 3, -3],\n [-8, -14, 11, 3, -2, 7, 11, -15],\n [9, 10, -7, 3, -2, -12, -14, -6],\n [11, 13, -1, 15, -15, 13, -5, 0],\n [-3, -8, 11, -7, -1, 9, 10, 13],\n [15, -11, 5, 15, 5, 6, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13971", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-14, 12, 6, -11, 4, 0, 0, 6],\n [13, -12, 10, 4, 6, -5, 13, 4],\n [13, 0, 9, 15, 13, 7, -4, 13],\n [-10, 0, 15, 3, -5, -4, -12, -3],\n [-14, 3, -5, -15, -7, -6, -13, -8],\n [0, -12, -5, -8, -9, 4, -1, 7],\n [12, -8, -6, 3, -11, 15, 11, 15]]\nB =\n[[-13, -9, -10, 1, -6, 5, 13],\n [13, 4, -1, -14, -15, -4, -3],\n [-4, -4, -9, -9, -10, -3, 5],\n [-7, 0, -14, 11, -5, 14, -13],\n [-7, -4, 13, -14, 3, -10, 10],\n [7, 2, -3, -2, -8, -7, -3],\n [14, 1, -10, 4, -6, -5, -6],\n [5, -10, -10, -1, -9, 9, -4]]\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[[4, -7, -15, 9, 12, 8, 0, 15],\n [2, 15, 7, -9, 2, -8, 6, -1],\n [-10, 12, 11, 15, 5, -4, 11, -1],\n [8, -1, 13, -6, -7, -2, 5, -2],\n [1, -5, -10, -4, 12, 1, 13, -11],\n [-10, -13, 12, -15, 2, -2, -4, -4],\n [-5, 12, 3, -13, -14, 6, -9, 5],\n [7, -4, 3, 15, 11, 5, -3, 3]]\nB =\n[[-12, 6, -4, 14, -12, -3, 4],\n [-9, -10, -4, -4, 0, -3, 1],\n [-8, -15, -4, 9, 4, -9, 5],\n [-4, 10, 3, -3, 8, 14, -6],\n [-14, 15, 11, 10, -13, -4, -11],\n [-11, -11, -9, -8, 8, 11, 3],\n [8, 0, -6, -3, -14, -12, -14],\n [5, -13, -6, 10, -5, -13, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1965", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[4, -10, 5, 10, -3, -11, -13, 4],\n [14, -4, 13, -13, 3, -1, -6, 9],\n [10, -10, 0, -1, 10, -14, 1, 0],\n [-13, 3, -12, 4, 13, 14, -11, -3],\n [4, 12, -14, 11, -4, 1, -6, 7],\n [-7, -7, 11, 1, -7, -2, 1, 1],\n [-14, 10, 11, -1, -5, 6, 9, -11]]\nB =\n[[-7, -7, -2, -8, -5, -4, -9],\n [-13, 10, -13, -2, -12, 9, 12],\n [-2, -2, -13, -3, -8, 8, -10],\n [-14, -10, 4, -2, 15, -9, 11],\n [1, -13, 14, -2, 8, -15, 13],\n [10, -4, -13, 3, -4, 8, -2],\n [-15, 10, -11, -9, 4, 15, 10],\n [3, 10, -10, 5, 2, -10, -5]]\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[[13, 13, 13, -13, -7, -13, 9],\n [-10, 8, -7, 15, -8, 11, 14],\n [-14, 3, 8, 0, -11, -6, 4],\n [6, -4, -4, 13, 15, -10, -2],\n [-9, 5, -15, -2, -1, -3, 15],\n [8, 14, -15, 4, 3, 3, -10],\n [8, -11, 6, 12, 6, 12, 1],\n [15, -1, -9, 1, -4, 14, 15]]\nB =\n[[-9, 13, -3, -8, -12, -8, 6],\n [0, 0, 6, -5, 11, -7, 6],\n [12, -5, -11, -6, 10, -10, 0],\n [-4, -8, 9, 10, 13, -3, -3],\n [0, 10, -5, 8, -8, 7, -3],\n [-15, 4, 4, 12, 3, -12, 12],\n [-14, 3, 3, -6, 1, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "499", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, -7, 2, -14, 2, -8, -14],\n [6, 0, -11, -6, -7, -14, 0],\n [0, 1, -14, 10, -11, 15, -8],\n [8, -14, -4, -3, 0, -11, -4],\n [-1, 14, 15, 13, -14, -4, 7],\n [-6, -8, 5, -5, -4, 1, 13],\n [-9, -1, 3, 13, -14, 14, -10],\n [-14, -2, 10, -8, 0, 3, 2]]\nB =\n[[8, 13, -3, -10, 13, -12, 5, -6],\n [-1, 7, -4, 12, 4, -4, 14, 11],\n [-9, -10, -11, 3, -2, -15, 8, -5],\n [14, 7, 15, 6, -12, 5, -2, 5],\n [2, -10, 11, -11, 1, 9, -9, 14],\n [-5, -2, 14, -14, 6, 14, 15, 1],\n [-14, 15, -1, -9, -13, 7, -10, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "683", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 14, -7, -6, 5, 14, 5, -8],\n [-9, -15, -6, 2, 0, -12, -7, 7],\n [2, -5, -4, -8, -15, -8, -11, -15],\n [-13, 11, -3, 13, 13, 0, 7, -4],\n [-9, -8, -5, -3, -5, -12, -10, 15],\n [12, 7, 8, 14, 3, 5, -8, -10],\n [1, 2, -13, 14, -4, -1, -9, -3],\n [14, -6, 3, -7, 9, 12, -4, 12]]\nB =\n[[-5, 8, 9, -8, -7, -12, 4],\n [15, -11, -9, -7, -12, 7, -4],\n [-4, -10, -3, -7, 9, -7, 5],\n [-13, -3, 15, -10, 2, 7, -2],\n [15, 13, 7, -14, 15, -10, 4],\n [-9, -8, -6, -3, 11, -15, -11],\n [9, 14, -14, -12, 8, -4, -11],\n [8, -1, -6, 10, 1, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "921", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 8) of the product of the following matrices:\nA =\n[[6, -14, 7, -13, -12, 14, 0],\n [0, 11, 6, -13, 1, 10, 1],\n [6, 4, -9, 9, 14, -8, 3],\n [-9, -15, 0, 2, 9, 10, -8],\n [15, -9, 11, -6, -14, -1, -2],\n [-14, -9, 7, 6, 10, -4, -11],\n [-10, 0, -4, -7, 4, -4, -6],\n [1, 9, 8, -5, 2, -12, -13]]\nB =\n[[3, -10, 7, -8, -9, -1, -4, -1],\n [-7, -14, 10, 4, -1, 2, -3, 0],\n [-1, -5, -13, 13, -6, 1, 14, -8],\n [-11, 5, -8, -1, 15, -5, -7, 9],\n [10, 9, -14, -9, 0, -9, -12, -11],\n [-2, 6, -9, -3, 2, -6, -14, 15],\n [-3, -14, 13, 14, -1, -11, 6, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 15, -10, 3, 12, -1, -12, -9],\n [7, 15, 6, 1, -6, 6, 14, 13],\n [1, -5, 5, 6, 0, -9, -8, 0],\n [0, 9, 6, 11, 7, 15, -12, 10],\n [-9, 10, 1, -13, 1, -5, -8, 3],\n [-9, 2, 12, 12, 5, -1, 3, 10],\n [-13, 14, 0, -1, -11, -2, 8, -14],\n [11, -12, 4, -3, 0, 15, 14, -4]]\nB =\n[[11, -11, 6, 9, 5, -4, 10],\n [-8, -11, -13, 6, -3, -12, 5],\n [-8, 11, 11, -12, -9, -13, -12],\n [8, -8, -3, -3, -7, 4, 10],\n [4, -11, -2, -11, -13, -15, -6],\n [-1, 1, -4, -2, 8, -12, 13],\n [-5, 10, -1, -2, 11, 2, 6],\n [-7, -1, 5, -13, 4, 15, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-3321", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-14, -1, -2, -9, 13, -12, -12, 8],\n [-6, 5, 3, -3, 15, 12, -10, -8],\n [-6, 1, -7, -2, 13, 4, -11, 10],\n [-13, -7, 13, -4, 6, 15, 15, -15],\n [9, -5, -11, 3, -12, -4, 0, 0],\n [5, -15, 10, -13, 7, 9, 6, 4],\n [-1, 4, 9, 1, 6, -12, -13, -5],\n [-15, -11, -12, 10, 4, -8, -5, -5]]\nB =\n[[2, 11, -6, 11, 14, 10, -3],\n [4, 0, 11, 1, 2, 10, 10],\n [-13, 12, -15, -14, 7, 10, 10],\n [-10, 2, 1, 10, -2, 9, 1],\n [10, 5, 9, 13, -7, 6, 15],\n [3, -14, -13, 0, 0, -15, 3],\n [2, 8, 15, -6, 7, 1, -15],\n [-11, -12, 15, 8, 8, 15, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1035", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, -9, -8, 3, -8, 10, -7],\n [3, 12, 2, -2, 2, -11, 12],\n [10, 12, -15, -10, -9, 12, 13],\n [-11, 11, -8, -10, -15, 9, -4],\n [-11, 13, -11, -1, 1, -11, 3],\n [-6, 13, -13, -5, 10, -8, 9],\n [-3, -10, -13, 8, 3, -9, -14]]\nB =\n[[6, 8, 3, -3, 9, -5, -7],\n [3, 3, 5, 9, -2, -4, 13],\n [-15, -15, 1, 15, -12, -3, 7],\n [12, -5, 2, -4, 3, 4, -15],\n [2, -14, 14, -5, -1, -1, -10],\n [-12, -4, 7, 12, -5, 12, -8],\n [-14, 0, -14, 5, -12, 12, 14]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-230", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, -14, 9, -7, 13, 10, -3, 12],\n [4, -14, 3, -8, 13, -5, -8, 0],\n [12, 14, 7, 13, 4, 1, 10, 9],\n [-1, -9, 13, -15, -2, 15, 0, 5],\n [-13, 2, 3, -10, 12, 7, 10, -7],\n [-3, 10, -4, -1, 11, -9, -4, 1],\n [-3, 7, 13, 1, 13, -8, 2, -14],\n [1, 9, -4, -3, -1, 14, -5, 8]]\nB =\n[[-7, -8, 4, 9, -1, 8, 1, 10],\n [-2, -11, 14, 0, 9, 13, 12, -8],\n [1, 6, -5, 6, 2, 11, -14, -15],\n [6, -7, -8, 5, 8, -14, -4, 11],\n [-10, 12, -14, 8, -4, 2, -11, -3],\n [12, 7, 7, -12, -8, 14, 7, -6],\n [5, -2, 4, 14, -14, -14, -12, 8],\n [-5, 6, -7, 2, 13, 7, 14, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1001", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-14, 14, 11, 9, 13, 8, 9, 14],\n [-9, -4, 0, -6, 15, 12, -5, -7],\n [-12, 0, 3, 4, -11, -4, -6, -2],\n [4, 4, -4, 7, -12, 4, 9, -7],\n [-2, 15, -11, -7, 11, -14, -4, 12],\n [-4, -3, 5, -5, 7, -8, 12, 5],\n [-4, -7, -4, -5, 3, 13, 12, -8],\n [11, 9, -9, 5, 9, 11, -2, 13]]\nB =\n[[8, 12, 8, 6, -14, 4, 15, -4],\n [-15, 12, 10, 5, 13, 14, -6, -15],\n [6, -6, -8, -3, -2, -6, -15, -10],\n [-4, 4, -1, -3, -1, 9, 12, 0],\n [8, -4, 4, -5, -4, 11, -14, 13],\n [13, 6, 14, -13, 1, 14, -2, 11],\n [-9, 4, -2, 15, -7, 15, 13, -6],\n [10, -5, 14, -5, 11, 3, 15, 13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12042", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, -3, -6, 0, 15, -6, 15],\n [-6, 12, -4, -15, 12, 2, 4],\n [12, 12, -5, -9, -2, -8, 14],\n [-12, -13, -6, -7, -1, 15, -8],\n [-3, 6, 9, 8, -9, -3, -10],\n [-6, 3, 12, -5, 13, 0, 6],\n [4, 5, 7, 13, -2, 7, 12]]\nB =\n[[-7, 0, -7, -10, -10, 13, 2, 8],\n [3, 1, -12, 5, 3, 14, 7, 11],\n [5, -5, 10, 5, 6, -5, -5, 6],\n [9, 3, -8, 11, 7, 0, 9, 5],\n [7, -8, -7, 8, -4, -4, -14, 11],\n [-10, -12, 13, -3, 14, -12, -7, -9],\n [-10, 2, -1, 0, -15, -6, 14, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1120", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[15, 9, -12, 2, -3, 8, 6, -15],\n [4, -6, 5, -15, -14, -7, -15, -1],\n [11, -1, 8, 12, 11, 9, -14, -4],\n [2, 7, -6, 14, -3, -7, 10, 9],\n [-13, 7, 6, -8, -2, 8, 8, 8],\n [11, 10, 0, -10, -7, 5, -12, 7],\n [3, 8, -1, 15, 8, -5, 5, -6]]\nB =\n[[-8, -13, 3, -12, 13, -3, -7],\n [5, 6, 4, 14, -3, -7, 4],\n [3, 0, 2, 3, 1, -4, -5],\n [8, 1, -10, 15, 11, -1, -14],\n [-2, 11, 11, -13, 9, -4, 13],\n [9, -10, 7, -11, -9, -10, 5],\n [3, -2, 2, 5, -2, -8, -2],\n [5, 3, 10, 15, -13, -1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-468", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[14, 0, 9, -1, -2, -1, 8, -9],\n [-11, -7, 0, 12, -14, 6, 7, -9],\n [-4, 11, 13, 0, -12, -14, 1, 1],\n [-13, 0, 7, 11, -11, -9, 12, -3],\n [-7, -8, -15, 14, -12, 5, -9, -5],\n [-8, -8, 4, 14, -5, -9, 12, -5],\n [2, 9, 6, -12, -10, 15, -9, -6]]\nB =\n[[-8, -12, -7, -10, 1, 3, -2],\n [-15, -10, 6, -9, -15, 1, 5],\n [5, 1, -9, -2, -9, 6, -3],\n [7, 12, 6, 10, 2, 5, -9],\n [-14, 5, 3, -2, 9, 10, -15],\n [0, -9, 10, 0, 4, -4, -11],\n [1, 5, 11, 8, -3, -2, 15],\n [6, 13, 0, -3, 2, 2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "347", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 12, 15, -15, 12, -14, -8, 15],\n [-3, -10, 3, 15, 3, 14, 11, 9],\n [-14, 15, -6, -11, 7, 6, 14, -15],\n [-3, -4, -6, -13, -1, 14, -11, 12],\n [3, 3, 5, 13, -3, -8, 10, -8],\n [14, 8, -10, -7, -2, -11, 0, -2],\n [-6, 7, 1, 15, 0, 4, 1, 0],\n [-6, 2, -10, 1, -7, 6, -8, 15]]\nB =\n[[10, 10, -8, -4, 2, -14, -13, 11],\n [8, -5, 8, 5, 14, -3, 2, -5],\n [-2, 4, -12, 7, -12, -6, 6, 11],\n [-14, 15, 15, 2, 12, -5, -11, 1],\n [-14, -13, 9, 9, -9, 13, 5, -14],\n [-14, -8, 0, -13, 7, 13, 6, 15],\n [13, -10, 3, 6, -3, -12, 1, 12],\n [8, -7, 14, -13, 11, -15, -15, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12288", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 10, -3, -11, 3, 10, 9],\n [-6, -7, -10, 5, 1, 6, 5],\n [9, 14, -9, 0, 3, -11, 6],\n [11, 2, -9, 9, 10, 9, -11],\n [-8, -7, 6, 12, 4, -12, -13],\n [-4, -7, -6, -5, 0, 13, 15],\n [-5, 6, -8, -2, -14, 15, -12],\n [-1, 2, -5, 11, 3, 2, -7]]\nB =\n[[9, 6, 12, 7, 14, -11, -6],\n [1, 4, -3, -12, 12, 14, -2],\n [-8, 5, -1, -13, 1, -1, -15],\n [-11, -8, -7, 10, 10, -14, -11],\n [14, -12, -4, 3, 11, 8, -14],\n [0, -14, 5, -6, 10, -6, 1],\n [-4, -9, -7, -2, 2, 15, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8510", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -15, -7, -3, 13, 0, 0, -14],\n [-7, 14, -3, -8, 7, -5, 1, 4],\n [15, -5, -5, 0, -9, 6, -15, 7],\n [14, -1, 2, 12, 13, -2, -3, 8],\n [-14, 4, 6, 8, 12, -5, 3, 12],\n [6, 14, -10, 1, 6, -15, 9, 4],\n [-11, -15, -3, -15, -4, -7, 6, 13]]\nB =\n[[10, 14, -3, -6, 0, -10, 5, 6],\n [14, -8, 7, -9, 9, 9, -3, 9],\n [1, -4, 11, -5, -10, -1, -11, 0],\n [8, -5, -6, 13, -8, 8, -11, -6],\n [11, -6, -15, -3, 4, 7, 2, 7],\n [-11, 0, -10, 6, 15, 5, -6, -9],\n [4, 13, 0, -15, 9, -9, 9, -4],\n [11, 9, 7, -1, -14, 11, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9952", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -3, 7, -7, -12, -7, 7],\n [8, -15, 9, 12, -8, -15, 14],\n [13, 0, 8, -1, -1, -11, 3],\n [8, -5, 11, 3, 8, 5, 8],\n [-13, 10, 6, 12, 6, -12, 5],\n [0, -4, 12, -9, -15, 8, -5],\n [-1, 3, 7, -1, -7, -3, 2],\n [13, 10, 10, 7, 1, -11, 11]]\nB =\n[[0, -9, 14, 5, -11, 6, 10],\n [10, -5, 0, 14, 14, 11, 6],\n [10, -3, -14, -4, -4, -6, 11],\n [10, -3, -4, 9, 3, 1, 11],\n [0, 1, 9, -10, 7, 2, -5],\n [14, -4, 1, -14, -3, 3, 3],\n [8, -12, -15, -14, 9, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1195", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -11, 0, -12, 4, -13, 2],\n [-8, 6, 9, -14, -4, -15, 8],\n [8, 5, 2, -6, 5, -8, 14],\n [14, -12, 14, 2, -13, -13, 9],\n [13, -4, 3, 1, 7, 1, 6],\n [10, -12, -9, 7, 15, -9, 14],\n [6, -9, -8, 3, 5, 14, 10]]\nB =\n[[11, -7, 8, 6, 13, -7, -2, 10],\n [13, 5, 2, 15, -7, 14, -11, -8],\n [8, -12, 4, -2, 1, 5, 15, 0],\n [-7, 12, -11, -11, 14, -10, -10, -8],\n [0, -2, -15, 0, -1, -11, -7, 15],\n [-13, 15, 11, -9, -9, 0, 12, 12],\n [10, -13, -1, -9, -13, 0, 15, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11370", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-8, 0, 8, -10, 0, -14, -15],\n [3, -2, 3, 7, -12, -14, -14],\n [-4, 7, 8, -5, 5, 2, 3],\n [1, 15, 10, -12, 7, 10, -4],\n [9, -13, 0, -12, 12, -10, -15],\n [-11, -6, 15, -2, -11, -6, 9],\n [-7, -3, 1, 3, 13, 4, 12]]\nB =\n[[-15, -7, 2, 15, -11, -2, 13, 3],\n [-1, -12, 15, -12, 11, 2, 11, 2],\n [-8, -14, 0, 15, -2, 10, 7, -15],\n [1, -6, 0, -13, 3, -5, 9, 14],\n [-1, 2, 4, 3, -9, 15, -10, -7],\n [-3, -8, 2, -13, -15, 8, 13, 2],\n [-12, 2, 0, 2, 15, -13, -2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9366", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[13, -11, -8, 10, 2, 14, 13, -11],\n [11, -4, 13, -12, -4, -3, -2, -2],\n [3, -6, 6, -7, 8, 2, 1, 8],\n [-11, -14, -6, -15, 11, -8, -8, -10],\n [5, -11, 6, 5, 2, -9, -12, 7],\n [-15, 6, -14, 3, -13, 10, -15, 14],\n [5, -3, -8, -4, 14, -8, 10, 12]]\nB =\n[[11, -9, 7, -8, 13, 8, -1, 14],\n [5, -9, -4, 2, -12, -10, -5, 14],\n [-6, 14, 3, 2, -4, 1, 4, -14],\n [14, 3, -4, 10, -5, -1, -5, -5],\n [6, -6, 3, -13, -12, -13, -1, -10],\n [-7, -8, -14, 3, -1, 15, -8, 3],\n [-11, -4, 11, -4, 12, -7, 2, 9],\n [-6, -11, -1, 9, 4, 8, 8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9804", "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, 1, 13, -10, -7, 12],\n [14, 1, 2, -2, 7, -10, 10],\n [-5, 3, 0, -14, -9, 10, 10],\n [5, -10, -1, 9, -3, -9, 4],\n [11, 9, -13, -1, 4, 10, -13],\n [10, 11, -1, 12, -13, 12, -1],\n [-15, 5, 4, -5, 9, 15, -12],\n [3, 6, 12, 12, -6, 11, 5]]\nB =\n[[-12, 0, -15, 11, -3, 3, -2],\n [-3, 13, -12, -6, 11, -8, -7],\n [-2, -8, 9, 10, -15, -5, 0],\n [-15, 14, 3, 13, 4, 2, 10],\n [-9, -7, 11, -10, 4, -10, -15],\n [-10, 0, -12, -13, 6, -7, 8],\n [8, 9, 6, -8, -9, -4, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10415", "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, 0, -2, 14, -5, 4],\n [3, 3, -3, -4, -6, -1, 13],\n [13, 12, -3, -3, 8, -1, 1],\n [15, 7, -5, -6, -12, 15, 1],\n [-2, 14, -14, 15, -9, 0, 10],\n [1, 6, -12, -13, 7, 9, -11],\n [-10, 7, 10, 13, 12, -10, -10],\n [3, -5, 3, -2, -1, 15, -11]]\nB =\n[[7, -4, -3, 6, 2, -13, -4, -11],\n [15, -3, 7, 13, -3, -10, 13, 0],\n [10, -13, -9, 5, -6, 14, 15, -12],\n [-4, -10, 2, -9, -14, 7, -8, 2],\n [8, 12, -3, 7, 15, -13, -3, -9],\n [-15, 2, 5, 0, -5, 13, 9, 1],\n [-11, -10, -2, -2, 3, -11, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 8) of the result:\nA =\n[[8, -4, 3, 5, 13, 12, 1],\n [5, 1, 9, -14, -10, 9, 3],\n [-10, -15, -2, 15, 7, -14, 5],\n [5, -4, 1, 11, 15, 7, -12],\n [-12, -9, 10, -3, 1, -2, 6],\n [1, 13, 0, 0, -10, 10, 15],\n [-14, 10, 11, 1, 8, 7, -14]]\nB =\n[[2, 5, 4, -4, -12, -7, -5, 1],\n [14, -3, 10, 9, 12, 3, -8, -11],\n [-6, -1, 3, 9, -7, 0, 0, -8],\n [-13, -13, -6, 15, -4, -1, -1, 11],\n [10, 3, -2, -5, -10, -4, 2, 9],\n [-14, 10, 8, 10, 0, -12, -12, 5],\n [14, 1, 4, 6, 12, -6, 2, 14]]\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[[11, 3, -5, -2, -12, 0, -13, 9],\n [6, -5, -11, 5, -14, -4, 14, -3],\n [9, -14, -11, 7, 3, 13, 8, -11],\n [10, 12, -13, 3, 15, 3, -5, -4],\n [3, 4, -6, 1, -4, -13, 10, 10],\n [5, 13, -8, -8, 9, 9, -3, 6],\n [-3, -6, -1, 7, 12, 0, -3, -5]]\nB =\n[[-4, -2, 4, -13, -1, -5, -13, 2],\n [-8, 7, -8, -3, -10, 13, -6, -1],\n [12, 10, -11, -15, -8, -14, -15, 9],\n [14, 11, 11, 8, 11, 0, 9, -11],\n [3, 14, -5, -8, -12, -2, 1, -7],\n [11, -12, 12, -14, -6, 3, 6, -7],\n [6, 12, 0, 12, 4, 1, 15, -14],\n [7, 3, -14, 0, 0, 12, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1137", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[4, -15, 15, -7, -1, -1, 9, -5],\n [-11, -8, 6, -9, 13, -10, 15, 15],\n [-9, 3, -2, -5, 3, 10, -2, 3],\n [10, -10, -15, -2, -4, 13, -4, 13],\n [-7, 13, -7, -2, 4, -14, -2, 7],\n [14, 13, -9, -1, 6, -8, 3, -14],\n [10, -15, 12, 3, 8, 12, -8, 15]]\nB =\n[[-9, 12, 2, 3, -3, 0, 7],\n [-5, 8, 9, 6, -6, 3, 9],\n [-11, -4, -12, 9, 10, 12, 0],\n [-14, 10, -12, 13, 0, 6, -5],\n [-10, 12, -5, -6, -1, 5, 10],\n [-9, 5, -1, 6, 14, 14, -15],\n [-8, 14, -11, 5, 14, 10, -10],\n [6, 8, -12, -1, -12, 15, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "247", "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, 0, 0, -8, 5, 11, 8, -10],\n [5, -3, -7, -7, 15, -5, -8, 12],\n [-3, 10, 3, 13, 15, 9, 6, 9],\n [-15, 1, -10, -4, -12, 5, 0, 5],\n [-13, 9, 15, 1, 6, 2, 2, 9],\n [10, 2, 9, 12, 12, -8, 7, -8],\n [-3, -4, 9, -1, -6, -7, -13, 15]]\nB =\n[[-6, 1, -1, 8, 13, 13, -6, 4],\n [5, -2, 11, 0, 6, -10, -9, 14],\n [-6, 3, 2, 12, -7, 14, -14, -7],\n [10, 15, -12, -5, 1, -13, 10, -1],\n [14, -14, 0, -12, 2, 12, -6, -10],\n [-5, -6, -15, 0, -11, -7, 15, 1],\n [-12, -14, 11, 15, -14, -11, -14, -3],\n [-11, -15, 5, 13, 14, -1, 15, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8604", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-2, -4, -14, 11, 4, -15, -13, -5],\n [1, 8, -11, 1, 2, 9, 7, -13],\n [-1, 0, -1, 1, 2, 7, -8, 5],\n [13, 12, -2, -12, -6, 4, 5, 15],\n [-9, 14, 13, 7, 4, -15, 5, -9],\n [-4, -12, -9, 8, -1, -14, -14, -11],\n [-13, 0, -12, -1, 1, -5, -12, 11],\n [-12, -12, 3, -14, 0, 4, -3, -8]]\nB =\n[[3, 6, -14, 1, 7, -4, -2, -4],\n [6, -3, -6, -12, -9, 6, -14, -1],\n [-12, 14, -7, 8, -10, 13, 1, -9],\n [0, 1, 14, -8, -13, 9, 13, 5],\n [6, 4, -10, 9, 7, 2, -5, -10],\n [11, 11, -3, 13, 12, -7, -8, -3],\n [11, 13, -2, -15, -11, -10, -7, 4],\n [-3, -15, 14, 6, 9, -10, -9, -6]]\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 trace (sum of diagonal elements) of the result:\nA =\n[[-12, 13, 2, 13, 0, 3, -5],\n [1, -14, -9, -7, 9, 15, 9],\n [11, 15, -2, 1, -1, -9, 14],\n [-9, -2, 15, -7, -7, 1, 10],\n [5, -14, -4, 6, 0, -14, -1],\n [-10, 7, 14, 6, 12, -5, 15],\n [13, 1, -12, 3, -11, 7, -4],\n [3, -15, 11, -5, 9, 6, -10]]\nB =\n[[-12, 11, 1, -4, 9, -6, 7, 12],\n [10, -2, -9, 11, 7, 7, 8, -5],\n [8, -13, -8, 4, 7, -11, 12, -12],\n [-3, -12, -10, -14, 13, -11, -1, -8],\n [-14, 5, 7, -11, 10, -7, 9, -8],\n [-2, 0, 9, -14, -13, -12, -1, -11],\n [-1, 10, 12, 2, -3, -5, -6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "685", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[14, 4, -11, 15, 6, -15, -3],\n [-2, 6, 0, -3, -1, -7, -13],\n [-14, -4, 8, 2, 8, 10, -12],\n [9, 4, -1, -15, -8, 1, -11],\n [-9, -13, -10, -3, 0, 11, 1],\n [-10, 14, -11, 2, -12, -4, 12],\n [0, -5, 12, 11, -5, 7, -10],\n [11, 10, 0, -10, -7, 2, -15]]\nB =\n[[2, 3, -7, -2, -4, -6, -7, -4],\n [-11, 7, 3, -6, -14, -10, 6, -11],\n [-15, 10, 2, 7, 10, 15, -1, -14],\n [5, -1, -5, 10, -3, 4, -1, -6],\n [1, -11, -15, 3, -4, 9, -9, -14],\n [5, -1, 4, -3, -9, -2, 15, 4],\n [0, 14, -7, 3, 6, -11, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9190", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[13, -2, -5, 14, -15, -6, -14],\n [-9, 1, -11, 8, -6, -11, -11],\n [-7, -5, -1, 11, -11, 15, 1],\n [3, -2, 5, 8, 10, -14, -2],\n [4, 12, -12, -13, -1, 6, 0],\n [-6, 2, 3, -14, -6, 13, 8],\n [-14, 0, -11, -12, 1, -3, 7]]\nB =\n[[6, 10, -4, 1, -7, 12, 4, -15],\n [8, -15, -14, -2, -11, 13, -15, -15],\n [-1, 6, 14, 11, -15, 5, 0, -6],\n [11, -11, -14, 14, -2, -5, 3, 3],\n [3, -13, -5, 4, 14, 10, 13, 0],\n [1, 13, 4, -12, -1, 8, -5, 0],\n [4, 5, -12, -11, 3, 0, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "95", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, 14, 0, -15, -13, -14, -6],\n [15, 11, -10, -8, -10, 4, 3],\n [0, -12, 0, 13, 8, -7, 8],\n [-7, -8, 13, -11, 5, 1, 8],\n [11, 0, 2, 6, -10, 12, -6],\n [4, 9, 0, 3, -8, 2, -11],\n [13, -3, 15, -1, 15, -10, -14],\n [7, -1, 11, -5, -11, -6, 13]]\nB =\n[[4, 4, 2, -4, 9, 1, 1],\n [-12, 3, 9, 13, 7, 11, 2],\n [4, 5, -6, 12, -2, 4, -3],\n [-2, -12, -12, 8, 7, -12, -5],\n [-15, -10, -11, 11, -11, 11, 15],\n [-4, -1, -10, -4, 8, 6, -2],\n [6, 7, -5, -8, 4, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2554", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[-10, 9, -3, -10, 4, 14, 6, -14],\n [-5, -8, 14, 11, 6, -12, -9, -1],\n [8, 3, -6, -13, -6, 3, -13, 2],\n [-11, 6, -15, -10, -9, -14, 1, 7],\n [6, 14, -13, 13, -14, 13, 2, -2],\n [0, -4, 2, -8, -15, 12, -13, 8],\n [6, -9, -14, 0, 14, -7, 7, -13],\n [9, 3, -2, 10, 8, -1, 7, 15]]\nB =\n[[13, 0, 3, -1, -2, -11, -9],\n [-13, 13, -14, 9, 0, -14, -13],\n [15, -4, -15, -1, 13, -15, -15],\n [-1, 10, -13, -2, 6, -6, -13],\n [4, 2, 7, -12, 11, 1, 4],\n [-12, -1, -5, -13, 8, -9, -6],\n [10, 3, 4, -8, -1, -3, 10],\n [-13, 5, 5, -1, 5, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "375", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 13, 5, -1, 11, 14, 11, -2],\n [-7, 13, 9, -1, -2, -1, 11, -2],\n [-6, -4, 4, -2, 9, 11, -1, -4],\n [13, -14, 3, 1, -1, 11, 7, -6],\n [14, -5, -2, -7, 13, -13, 8, -15],\n [-10, -10, -11, -12, -13, -3, 14, -12],\n [7, 14, -9, 3, -5, -6, 3, 3]]\nB =\n[[-11, -15, 10, -5, -3, 14, 15],\n [14, 7, 13, -8, 7, 0, 8],\n [-7, -12, 3, -9, -4, -7, -3],\n [-4, -7, -4, 8, 14, 0, -3],\n [-13, -10, -2, -14, 6, 5, 15],\n [4, -13, 0, -8, 10, -10, 9],\n [-13, -11, -12, -10, -14, 6, -13],\n [-8, -1, -6, -1, 10, 11, 15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-687", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, -4, -8, 7, -10, 9, 11, 9],\n [10, 0, 10, -1, 4, -1, -8, 3],\n [-2, 11, 5, 0, -4, -13, 10, 4],\n [-11, -3, -1, -8, -2, 10, -1, 8],\n [14, 3, -8, -6, -3, -12, -5, -14],\n [14, 3, 8, 12, 5, 2, 7, 5],\n [-10, -2, 2, -5, -9, -1, -15, 10],\n [-6, 5, -7, 7, 14, 0, 0, 9]]\nB =\n[[9, 1, 8, -4, -9, 11, -14, -13],\n [-10, 11, 11, 3, -8, -12, 13, -9],\n [-12, 2, -9, 8, -15, -11, -6, -2],\n [8, -15, -4, 3, -14, -2, -13, 3],\n [-13, -3, 1, -13, -2, -14, -3, -7],\n [-6, -8, 13, 13, 6, -9, 14, -15],\n [7, -8, 15, -8, -10, 7, 11, 2],\n [-12, 8, -5, 15, 4, 8, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "654", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[14, -4, -12, -7, -15, -10, -15],\n [12, 6, 4, 8, 13, -8, -3],\n [15, 9, 7, 13, 11, 13, 8],\n [13, 11, 3, 10, 4, -12, 6],\n [-9, 9, 14, 10, 6, 2, -6],\n [15, 10, 7, -1, -3, 10, 14],\n [9, 8, 4, 2, 8, 6, -4]]\nB =\n[[-1, -8, -5, 9, -13, 8, -2, 10],\n [-8, 5, -10, 5, 6, -15, 10, -6],\n [10, -14, -8, -2, -15, 9, -9, -15],\n [14, -11, 2, 14, 11, 12, 1, 1],\n [14, -3, 5, -12, 5, 6, 0, 1],\n [2, -14, 5, -4, 15, -6, -7, 7],\n [10, -12, -1, 5, 11, 7, 14, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 12, 10, -9, -5, 13, -14],\n [4, 10, 13, 4, 14, 11, 9],\n [8, 0, -10, -8, 7, 8, 13],\n [15, 7, 2, -5, 12, 6, -12],\n [-12, 15, -6, 6, 0, 8, 5],\n [14, -13, -4, 1, -11, -13, 0],\n [3, -12, -7, -12, 5, -6, 5]]\nB =\n[[15, 1, 0, -9, -1, 2, -10],\n [14, -1, -5, 4, 15, 14, -11],\n [0, -4, 5, -12, 14, -14, 12],\n [0, -8, 15, 15, 15, 1, -7],\n [-10, -12, 6, 11, 9, -3, -2],\n [-4, 12, 9, -13, 13, -1, -1],\n [-1, -1, -8, 1, 9, 7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7160", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, 15, 7, -10, 1, 13, -14, -5],\n [0, 3, 1, 5, 11, 5, -10, -2],\n [-3, 7, 10, 9, 13, -9, -3, -10],\n [13, 15, 9, -14, 6, -11, -4, -1],\n [-10, 15, 15, 10, -15, -5, 5, -4],\n [8, -13, 14, 3, -3, 13, -5, 7],\n [-9, -4, 2, 13, 0, -8, 15, 5],\n [9, -3, 1, 11, -12, 8, -7, -7]]\nB =\n[[-6, -5, -15, 1, -9, -5, -3, 12],\n [-10, 14, 7, -8, 11, 6, -6, -2],\n [10, -4, 10, 7, -5, -9, 7, -3],\n [14, -14, -13, 10, 9, -15, 13, 8],\n [7, -10, -15, 9, -14, -6, -4, -11],\n [-7, -4, -8, -6, 15, -2, 4, -1],\n [-8, -7, 12, 15, 11, -11, -15, -5],\n [6, -12, -10, 1, -12, -11, 6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "111", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[5, 2, -13, 5, -5, -1, -9, -12],\n [11, -10, 9, -6, -9, -13, -1, 11],\n [5, 9, 0, 5, -13, 8, 7, -4],\n [-11, -11, -15, 8, -10, -1, 5, -3],\n [-9, 2, 3, 9, 5, -10, -8, 14],\n [-13, 1, -2, 13, 4, -2, -14, 9],\n [-12, -7, 7, 15, 0, 7, -15, -14],\n [7, -4, 0, 5, 7, -1, 3, 8]]\nB =\n[[4, 8, -10, 9, 6, 4, 3, -1],\n [14, -12, 0, -5, -9, 8, -14, 9],\n [-9, 7, 13, -4, 10, -2, -1, 4],\n [-9, 2, -5, -6, -2, 14, -13, 2],\n [-4, 5, -15, 14, -3, -14, -1, 15],\n [-5, -10, -10, 12, 8, 9, 9, 7],\n [-4, 0, 0, -6, 1, 4, 7, -14],\n [12, 9, -3, 1, -7, -1, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 6, 14, 12, 7, 2, -6, 12],\n [2, -2, 3, 6, -15, 11, -12, 8],\n [8, -2, -11, 7, -11, 4, 6, -2],\n [-8, -4, 10, 1, -13, -12, -11, -15],\n [9, 8, -14, -11, 9, 13, 3, -11],\n [9, 6, -3, -11, -8, 14, 5, -7],\n [-1, 11, 13, -13, -15, 4, -9, -3]]\nB =\n[[-13, 13, -6, 8, 2, 0, -7, -1],\n [-2, 3, 11, 14, -10, -9, -11, 10],\n [-3, -11, -2, -15, 4, -15, -7, -7],\n [-1, -11, 5, 13, 5, 15, -9, 15],\n [6, -14, -5, -6, 3, -11, 7, -1],\n [-14, -5, -12, 1, 7, 15, 15, 11],\n [14, -14, 8, -6, 12, -5, -15, 2],\n [8, -11, 14, -11, 11, 7, 14, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10352", "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, 3, 8, -13, -1, 8, -2],\n [-15, -6, -3, 10, 7, -4, -15],\n [-14, 11, -5, -4, 12, -15, -6],\n [-13, -7, 1, 3, 2, -11, 12],\n [15, -9, -1, -10, 10, -11, 13],\n [3, -3, -9, 12, 9, -14, -10],\n [-1, 12, -11, 9, 8, 9, 7]]\nB =\n[[-11, -12, 14, -3, 8, 2, -15, -13],\n [-9, -15, 5, -2, -1, 0, -11, -13],\n [11, 1, -11, 8, 9, 12, 13, 6],\n [-15, 14, -3, 15, 5, 2, -15, 13],\n [3, 11, 10, 5, 9, 7, -10, -7],\n [-2, 14, 6, -5, -12, -9, 13, 2],\n [2, -10, 13, -11, -10, -14, -14, -15]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11725", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 14, 11, -6, -9, -14, 3, 11],\n [13, 6, 6, -6, 11, 9, -4, 11],\n [-4, 15, -1, 2, 15, 7, -15, -10],\n [-7, 8, -10, 13, -10, -10, 0, -1],\n [-8, 13, -14, -5, -7, 0, 10, 8],\n [-14, 14, -5, 8, 1, -10, -10, 9],\n [-7, 5, -15, -4, 14, -5, 1, -9],\n [11, 11, -12, -7, 3, -1, -10, 9]]\nB =\n[[-12, -11, 5, -3, -11, -14, -5, 2],\n [-1, 1, 14, 13, 1, 4, 3, 4],\n [0, -5, 12, 15, 12, 6, 11, 1],\n [-8, -8, 7, -4, -1, 11, 11, -12],\n [-8, 9, -1, -11, 6, -6, 8, 5],\n [12, 4, 8, 14, 15, 3, -1, -10],\n [-7, -10, 14, -7, -8, 0, 12, 9],\n [-6, 14, -7, -8, 9, -2, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "805", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, 4, 0, 1, 15, 7, -8, -4],\n [9, 1, 9, -1, -9, 7, 3, 1],\n [7, -3, 10, -8, 6, -2, 7, 9],\n [-8, -2, -11, -4, 11, 4, -5, -12],\n [4, -14, -6, -6, -9, 8, -4, 7],\n [0, 14, 15, 11, -6, -8, 11, 11],\n [9, -8, -11, -12, 5, -4, -5, -1],\n [-3, -15, -11, -10, -3, 9, 9, -6]]\nB =\n[[14, -4, -13, 13, 13, -5, 8],\n [8, 9, -1, 1, -11, -11, 7],\n [-5, -8, -5, 7, 15, 6, 4],\n [-1, -7, 2, -10, 10, -10, -5],\n [4, 13, -13, -5, 14, -13, 2],\n [-13, 4, -6, -12, 14, 10, 14],\n [15, 7, -12, 9, 8, -15, 10],\n [1, 13, -10, -12, 10, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1263", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -11, -8, 2, 8, -8, 2, -9],\n [-8, -9, 6, 3, -5, -5, -13, 8],\n [4, -3, 15, 10, 8, 15, 14, 13],\n [-6, -10, -13, 12, -6, -14, -15, -4],\n [-12, 8, 4, 8, 13, 8, -5, -15],\n [13, 0, -10, 11, -1, -6, 8, -8],\n [1, 8, -3, -7, 11, 14, -10, 13]]\nB =\n[[7, 6, 5, 1, -14, 10, 2],\n [11, 9, 0, -10, -13, -13, -2],\n [-6, -6, -14, -9, -2, 1, 1],\n [14, -6, -13, 1, -3, 11, 14],\n [0, -13, -1, 12, 9, -9, -3],\n [9, -9, -5, -2, 9, -5, 13],\n [3, -9, 6, -14, 6, -13, -14],\n [5, -11, 11, 2, 0, -13, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1646", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 5, 8, 10, 4, 4, -3, -10],\n [10, 0, -5, 14, -2, -1, 5, -11],\n [9, -10, 14, -1, 3, -5, 4, 9],\n [-10, -5, 14, -8, 11, 7, -4, 1],\n [-15, -6, -2, -9, 13, 2, -7, 14],\n [12, 0, -6, -4, -7, -2, 12, -14],\n [9, 9, -6, 6, 5, -6, -14, -10]]\nB =\n[[-5, -7, -13, 3, -5, -12, -1],\n [10, 11, -4, -12, -1, 1, 2],\n [6, -11, -6, 4, 10, -7, 2],\n [15, -4, -8, 15, 12, -5, -12],\n [-7, -12, 2, -2, -2, 6, 13],\n [12, 14, 9, 7, -15, 14, -7],\n [-10, 9, 2, -5, -9, 8, -8],\n [5, 7, 14, 7, -13, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-746", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-14, -1, -1, -11, 4, -8, 0],\n [-4, -2, 5, -3, -7, -9, 11],\n [1, -14, -8, 10, -3, -8, 2],\n [-3, 7, -8, 0, 4, -13, -1],\n [-6, 9, 2, 14, 3, 8, -14],\n [5, -6, 12, 0, -8, -9, -12],\n [10, -7, -14, 13, 0, 13, -9],\n [7, -1, 7, 7, -11, -15, 4]]\nB =\n[[-11, -3, 10, 4, -3, 7, 13, 2],\n [-14, 11, 2, -6, -13, 5, 14, -6],\n [-7, -13, 6, -10, -5, -10, -11, 14],\n [-2, -14, -15, -11, -8, -6, 5, 14],\n [3, -13, 2, -9, -3, -2, 2, 6],\n [-4, -8, 8, 2, -10, -4, -13, 9],\n [-13, 0, 1, 0, -3, 9, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, 13, -14, 10, -2, -6, 3],\n [7, 6, 8, 10, 13, -11, 0],\n [-11, -14, -10, 12, -4, 11, -3],\n [-3, 11, 5, 9, -2, 3, -1],\n [5, -13, -7, 9, 14, -6, 13],\n [-9, 15, -2, 1, 9, -2, 9],\n [-6, -11, 11, 2, 13, 1, 2]]\nB =\n[[-12, 4, -15, -3, 13, 8, -6],\n [12, -1, 8, 8, -11, 10, 2],\n [-12, -15, -6, 1, 12, 10, -13],\n [-12, -4, 11, 12, -5, -13, 12],\n [-5, -13, 8, -12, -13, 9, -4],\n [-4, 1, 8, 5, 14, -8, -6],\n [0, 3, -1, 6, -5, 14, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-459", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -9, 7, 2, 3, 0, 6],\n [-13, 9, 9, -10, -15, -15, -1],\n [15, 4, -5, -6, 8, -13, -12],\n [-4, 11, -10, 11, 9, 4, 3],\n [10, 10, 0, 9, 7, 9, 11],\n [-6, -10, 4, -11, -6, -4, 2],\n [-13, -11, 13, -13, -13, -7, -12]]\nB =\n[[14, 4, 1, 12, -9, 13, 10, -3],\n [9, 12, 8, -4, 2, 6, 10, 10],\n [-1, -11, 8, -15, -7, -7, -3, -5],\n [12, 7, 8, 13, -7, 13, 15, -11],\n [-2, 11, 14, 0, -14, 14, -1, 14],\n [1, -11, 8, -6, -1, 4, -12, -12],\n [8, 13, -9, 13, 11, -15, 10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1161", "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, -14, 3, -12, 10, 7, -15, -15],\n [-13, 2, -13, -13, 11, -3, -15, -3],\n [6, 8, -11, 1, -5, -6, 11, 7],\n [11, -1, -3, -6, -7, 12, -9, 9],\n [-6, -7, -3, 0, -14, -8, 12, 15],\n [7, 12, -9, -14, -15, -12, 7, -10],\n [10, -14, -9, -6, 11, -7, -14, 10]]\nB =\n[[-1, 11, -1, 5, 0, 11, -14, 1],\n [-5, 7, 2, 6, 7, -15, 11, -4],\n [9, -10, 2, 1, 1, -14, 12, 9],\n [2, -1, -15, 13, 4, -2, -3, 9],\n [-4, -8, -9, -8, 2, 5, 12, 15],\n [-1, 12, -9, -15, -10, 7, 0, 8],\n [5, -2, -8, -6, 11, 1, -1, -2],\n [4, 13, -5, -10, -12, 13, -11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11030", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[-4, -5, 2, -9, 9, 7, -15, 0],\n [2, -4, -5, -8, -15, 0, -14, 5],\n [14, 15, -10, 1, 1, -14, 3, -7],\n [-13, 8, 6, -6, -11, -7, 15, 8],\n [-2, -5, 3, 7, 0, -2, -2, -12],\n [-8, -9, -13, 7, 6, 6, -2, -5],\n [10, 3, -12, 13, -12, 15, 6, 13],\n [9, 5, -8, 5, -1, 15, 0, 6]]\nB =\n[[6, -12, -6, 10, -11, -12, -14, 2],\n [-8, -1, -12, -3, -2, -7, 12, -10],\n [-4, 12, -3, 5, 7, -10, 4, 10],\n [9, 6, 3, 4, 4, -8, -11, -8],\n [-3, 11, 8, 6, -3, -11, -2, 2],\n [-1, -15, -9, -6, 12, 10, 14, 11],\n [7, -14, 15, -3, -13, 11, -8, -4],\n [-12, 5, 15, 7, -8, -15, 7, -13]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-108", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -1, 5, 12, -4, -15, -5],\n [3, -11, 1, -14, -3, -13, -3],\n [-8, 15, 5, 5, -3, -13, 9],\n [-7, 12, 14, 12, -14, -8, -15],\n [5, -1, 7, -8, -8, 6, -9],\n [4, -3, 10, -9, -9, 9, -5],\n [15, -14, -5, 8, 9, 3, 8],\n [-15, 13, 10, 15, 5, 1, -15]]\nB =\n[[-3, -10, -11, 5, -14, -6, 14, 9],\n [12, 5, 3, 11, -9, 6, -1, -5],\n [-10, -11, -12, -10, -9, 15, -4, 14],\n [-2, 8, 15, -14, 4, 11, 7, -13],\n [-11, -6, 14, -9, -7, 6, 2, 9],\n [-10, -6, -4, -14, 13, -15, 15, 15],\n [12, -12, -1, -14, 12, 7, 11, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13793", "dataset": "MATH"}