{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 7, 2, -2, -5, 8],\n [-6, 6, 10, -2, -2, 11],\n [8, -9, -5, 11, -10, 9],\n [8, -11, 11, -1, -7, -11],\n [8, -12, -1, 9, -1, 12],\n [4, -3, 3, 2, 2, 6]]\nB =\n[[-1, 10, 7, 12, -10, -8, 6],\n [-6, 8, -4, -6, 5, -9, 12],\n [1, 5, -4, 8, -11, 7, 2],\n [-6, -1, -5, 2, -10, 1, 4],\n [-9, 5, -5, -9, -11, -7, 9],\n [-3, -9, 9, 5, -1, -11, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "327", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-9, 1, 3, 2, -5, 1],\n [10, 12, -5, 8, 3, 0],\n [5, 2, 8, 11, 12, 0],\n [-4, 2, 0, -12, 12, -6],\n [-4, 11, -12, -1, -5, 11],\n [-2, 6, 4, -5, -10, -10]]\nB =\n[[-12, -8, -3, -6, -4, -6],\n [-4, -5, -1, -11, -12, 3],\n [10, 10, 11, -8, -10, -1],\n [-5, 9, -10, -12, -10, -8],\n [2, 1, -10, -12, -8, 10],\n [1, -6, -4, 2, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4057", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[0, 6, -6, 4, 7, -9],\n [-8, 10, -6, 0, 2, -2],\n [-9, 0, -6, 6, 9, -11],\n [-3, 0, 12, 8, -7, -1],\n [-1, 7, -2, 10, 12, -6],\n [-12, -12, 12, 12, 7, 0]]\nB =\n[[-4, -10, -6, -7, -5, -4],\n [-8, -12, 6, -3, -1, 11],\n [2, 9, 11, -4, 7, 4],\n [4, 7, -1, -6, -11, -10],\n [4, -8, 4, 11, 4, 4],\n [-11, -11, 9, 10, -8, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-406", "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, 6, -11, 8, -1, -7, 10],\n [-9, 10, -2, 11, 4, -7, 11],\n [-8, 7, -11, -7, 9, -2, 3],\n [3, -12, -4, -7, 3, -10, 7],\n [-9, 6, -10, 6, 7, -6, 7],\n [-4, -12, -5, -6, 5, -5, -12]]\nB =\n[[-2, 12, 12, 5, 10, -3],\n [-10, -6, 3, 3, 12, 7],\n [4, -11, -12, 3, -1, -8],\n [-8, 10, -4, -4, -10, 6],\n [3, 3, -10, 7, 11, 9],\n [11, -12, 11, 7, -2, 4],\n [-5, -9, -7, -5, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4252", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[3, 12, -10, 12, 5, 1],\n [5, -11, 9, -10, 3, -4],\n [-9, -12, -9, -12, 1, 8],\n [3, 7, 11, -5, -6, -10],\n [4, -12, 3, -1, 6, 9],\n [10, 9, 1, -7, -7, 0]]\nB =\n[[6, 9, -5, -11, 8, -12, 2],\n [-12, -8, 3, 6, -9, -10, 4],\n [4, -1, 1, 8, -7, -10, -4],\n [-8, 11, 4, 1, 8, -10, -12],\n [7, 8, 10, -12, -10, 5, 12],\n [-3, 9, -10, -5, 1, 11, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-28", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 9, 10, -11, -3, -11],\n [4, -5, -12, -4, -2, 9],\n [3, -6, -3, 10, -10, 5],\n [12, 11, 0, -6, 12, -9],\n [0, 7, -12, -5, 1, 3],\n [1, -1, 6, 10, 2, -11],\n [-11, 10, 9, 6, 12, 9]]\nB =\n[[9, 4, 7, -3, -7, 2],\n [9, -2, -8, -12, -5, 8],\n [-1, -1, -8, -6, -9, -7],\n [0, 7, 2, -10, 10, -5],\n [7, 3, 0, 5, -3, 6],\n [4, 11, 6, 10, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4739", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -4, -1, 8, -12, -12, 2],\n [-11, 9, 3, 12, -5, 0, 8],\n [-12, 3, -6, -8, 9, 10, -10],\n [-1, 3, 6, -8, 9, 12, 1],\n [-8, 2, 4, 1, 7, -8, -1],\n [3, 3, 8, -6, -9, -12, -8],\n [10, -3, 9, -8, -9, -11, 7]]\nB =\n[[-3, 6, -12, 11, -8, 0, -9],\n [3, 11, 3, 10, -11, 4, 7],\n [11, -1, 5, -10, -12, -12, 6],\n [-2, -8, -1, -10, -12, -12, -5],\n [-3, -2, -1, 0, -1, 1, -11],\n [6, 5, -10, 10, 4, -5, -3],\n [-11, 6, -4, -6, -9, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "671", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 5) when matrix A is multiplied by matrix B?\nA =\n[[0, -2, 11, -9, 12, 8, 12],\n [-9, -3, -8, -4, 11, -10, 4],\n [-10, 3, -9, 5, 4, -6, 11],\n [10, -8, -1, 4, 10, 0, 10],\n [12, -10, -4, 4, 4, 7, 3],\n [12, 9, 0, 6, 4, -9, -1]]\nB =\n[[-4, 6, -1, -4, -6, 1],\n [7, 6, 2, 3, 8, -8],\n [-10, -1, 12, 7, 8, -9],\n [8, 10, 3, 12, -6, 0],\n [8, -3, -6, 1, -8, -10],\n [10, -2, -2, 5, 2, -1],\n [-4, -3, -1, 4, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, 0, -5, -3, -4, 5],\n [-11, -8, -8, -7, 6, -5],\n [3, 0, -12, 9, 7, 4],\n [-6, 12, 0, -9, -9, -7],\n [6, -1, 9, -6, -3, 6],\n [-6, -10, 0, 0, 5, 7]]\nB =\n[[-5, -4, -6, -12, -10, 0],\n [12, 4, 12, 11, -12, -7],\n [8, -7, -1, 0, 0, 2],\n [8, 3, 9, 8, -2, -8],\n [-9, -10, 6, 7, 12, 5],\n [2, -4, 4, 1, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "130", "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, 9, -10, 3, 10],\n [12, -2, -1, -3, 3, -5],\n [-7, -1, 11, 8, -5, -9],\n [-5, 5, -8, -4, -9, 9],\n [4, -4, -12, 8, 7, 0],\n [3, 0, 1, -10, -7, 5]]\nB =\n[[6, -8, 2, 12, -11, -3],\n [11, 5, 0, -8, 10, 11],\n [-12, 9, -12, 5, 2, 4],\n [-2, 8, 12, 9, 4, 0],\n [-12, -11, -4, -10, -12, 8],\n [3, 10, -7, 4, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3682", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[-7, -10, 8, 10, -8, 8, -8],\n [-3, -3, 6, 4, 8, 1, -4],\n [1, -12, 6, 0, 0, -9, -12],\n [4, -5, -11, -5, -6, -11, 9],\n [9, -10, 5, -1, -12, 9, -1],\n [-8, 12, 4, 3, 2, 10, 2],\n [-8, 8, 1, -11, -2, 6, -6]]\nB =\n[[-7, -11, -7, 5, -11, 5],\n [2, 6, -11, 7, 12, -7],\n [-12, 11, 2, 10, -3, 6],\n [4, -8, -9, -3, 11, 4],\n [-3, 4, 7, 11, -8, -11],\n [-7, 8, -11, 0, -2, -2],\n [3, -2, 6, 2, 12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-65", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[10, 3, -2, 9, 3, -5],\n [-9, -5, -9, 11, 12, -10],\n [-10, 5, 6, 6, 8, -8],\n [5, -3, 9, 8, -7, -12],\n [-8, -4, -1, 1, -11, 4],\n [1, 0, -4, 12, 2, 12]]\nB =\n[[9, 2, 11, -2, 3, 4],\n [-9, -12, -5, 4, -10, 7],\n [2, 2, 11, 9, 1, 10],\n [1, 11, -11, 0, 1, 11],\n [6, -6, -10, 2, 10, 1],\n [-2, 2, 0, 5, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-225", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 1) of the product of the following matrices:\nA =\n[[6, 2, 12, 10, -8, -3, -6],\n [12, 4, -6, 9, -1, 12, 4],\n [0, 7, 12, -9, -3, -10, -4],\n [0, 5, 2, -9, 2, 9, -11],\n [2, -5, -5, 4, -1, 6, -3],\n [-4, -8, -7, 7, -11, 11, 0],\n [-7, -8, 12, -12, 8, 9, 8]]\nB =\n[[-7, -7, 10, 3, -9, -2],\n [11, 10, -4, 10, -10, 6],\n [-5, -8, -9, 11, -7, -11],\n [7, -2, -9, 2, -7, 9],\n [4, 11, -7, 6, 12, -11],\n [2, -2, -5, 6, 0, -1],\n [-8, -7, 9, -9, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-197", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-12, 7, 4, -1, 2, -12, 1],\n [-7, -8, -2, -9, 0, -2, -10],\n [-12, -7, 5, 11, -3, -8, 10],\n [-3, -1, -11, 0, -5, -11, 7],\n [-12, -8, -4, 4, -4, -2, 2],\n [11, -7, 10, -10, 4, -8, -1]]\nB =\n[[5, 1, 8, 11, -2, -4, -11],\n [-1, -10, -10, -12, -5, 9, -5],\n [-2, -4, -8, 1, -10, 8, -8],\n [-8, 6, 1, -9, 12, 0, -3],\n [12, 5, -5, -5, -6, -5, 1],\n [6, -7, -12, 10, 2, -12, 12],\n [4, -12, 2, 10, -11, 1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -5, 6, -6, 6, -7, -7],\n [-10, -6, 6, -5, -3, 7, 2],\n [2, -12, 7, -6, -9, -7, 12],\n [-12, -8, 10, -12, -9, 9, -11],\n [-3, -8, -3, -12, 9, -7, 0],\n [2, -9, 0, 11, 7, 11, 2]]\nB =\n[[-5, -8, 2, -9, -1, 0, -11],\n [6, 6, -9, -9, -2, -8, 7],\n [-2, -3, -5, -7, -7, -5, 10],\n [2, 1, -2, -1, 0, -5, 5],\n [12, -12, 2, -5, -2, -1, -1],\n [-9, 3, -9, -8, 11, -8, -5],\n [-3, 4, -4, 9, 6, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4019", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 5) of the product matrix AB given:\nA =\n[[-4, 9, -2, 10, -12, 1],\n [-8, 8, 1, -9, 9, 10],\n [12, -12, 9, 10, 6, -5],\n [2, 8, 2, -4, 8, -4],\n [-3, 7, 12, 8, -4, -10],\n [7, 12, -2, -7, -11, -6],\n [5, -11, 4, -2, -1, 6]]\nB =\n[[9, 11, 12, -6, 7, -7],\n [8, 11, -12, 4, -2, 9],\n [5, 8, 4, -6, 4, 7],\n [-4, 4, 7, 9, 9, -5],\n [4, -6, -12, 0, 10, 6],\n [11, 6, 4, 0, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-174", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 5, -12, 1, 6, 2, 5],\n [-11, 9, 4, 5, -7, 6, -9],\n [-12, -5, 10, -6, -10, -3, -3],\n [6, 1, -11, -12, 10, 10, 5],\n [-6, -5, -12, 12, 10, -10, 11],\n [10, -5, 9, 12, 2, -8, -10],\n [6, -12, 2, -5, -11, -10, 11]]\nB =\n[[1, 11, 1, -2, 3, -9],\n [7, -8, 9, 8, 1, 10],\n [3, 5, -6, -3, -6, -12],\n [10, 8, 6, 3, 6, -9],\n [5, -11, -12, 2, -8, 7],\n [-2, -3, -11, -10, 10, 10],\n [-1, 7, -8, -8, -7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-103", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-11, 8, -1, -10, 7, 9],\n [-1, 11, 4, -3, 11, 1],\n [10, 4, 5, 6, 4, 1],\n [-4, -5, -11, 0, 12, -6],\n [-4, 9, 9, -2, 1, -9],\n [0, -11, 10, -8, -2, -7]]\nB =\n[[5, 8, -3, -9, -4, -7],\n [-11, 4, -8, 12, -7, -1],\n [10, 8, -3, 9, 8, 12],\n [-7, -5, -11, -1, 0, 12],\n [8, -6, -3, 0, 4, 8],\n [1, -11, 9, -2, -12, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-155", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, -9, 6, 8, -2, -5],\n [-2, -9, 4, -6, -5, -10],\n [9, -11, 10, 2, 11, 9],\n [9, -8, 11, -12, -9, 2],\n [7, 6, -10, 7, -2, 4],\n [0, -2, -11, -4, -11, 8],\n [-4, -4, -5, 4, -12, 12]]\nB =\n[[-2, -5, -3, 12, -6, -10, -10],\n [5, -8, -1, -1, 6, -7, -11],\n [-1, 6, -8, -1, 4, 4, -3],\n [12, 10, 4, 2, -1, 3, 11],\n [6, -5, 8, 4, 10, -8, 9],\n [3, -7, -5, 12, 5, 12, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4545", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 6) when matrix A is multiplied by matrix B?\nA =\n[[2, -4, 0, 2, -3, 3],\n [-6, 4, 10, 8, 9, -6],\n [1, 2, 8, -6, -4, 6],\n [3, -5, 5, 10, 5, 7],\n [-6, -10, 5, -3, -6, 4],\n [1, 11, -10, -1, 0, -11],\n [-10, -8, -2, -5, 10, 10]]\nB =\n[[-1, -6, 2, 11, 4, -9],\n [9, 12, 0, 5, -12, 3],\n [0, -3, -1, -11, 10, -10],\n [-3, -11, 10, 0, 0, 5],\n [-10, -6, 1, 7, 4, 8],\n [-1, 12, 3, 11, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, -3, 12, -6, 7, -8, -12],\n [4, -10, 0, 1, 11, 5, -9],\n [5, -8, 12, 3, -12, 8, 1],\n [2, -4, 2, 4, 12, 11, -9],\n [-1, -8, -8, -2, -7, -6, 11],\n [1, 11, -2, 0, -11, 12, -6]]\nB =\n[[7, -9, -5, 7, 9, 8, 6],\n [0, 1, -3, -2, -11, 12, -4],\n [4, -10, 11, -7, -8, -8, 9],\n [2, 10, 4, -4, -10, 7, 4],\n [-3, -10, 5, 5, 4, 11, -10],\n [-10, -7, 0, 11, 2, 12, -4],\n [-9, 1, -8, -11, -2, -4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1155", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -4, -10, 12, -11, -1, -3],\n [-4, 2, -5, 12, -8, -2, -11],\n [11, 2, -7, -5, -8, 3, 5],\n [-7, -8, 3, 0, -8, 0, 4],\n [5, -5, 0, 6, -10, 11, -5],\n [-11, -5, 0, 0, -12, -7, 11]]\nB =\n[[6, 3, -5, -12, 3, -4],\n [0, -2, 0, 12, 8, -3],\n [-9, -7, -6, -8, -2, 0],\n [12, 6, 10, -3, -3, -2],\n [8, -6, 5, -9, -11, 1],\n [0, -1, -6, -11, 0, 1],\n [4, -4, 4, -5, -11, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1597", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -10, 3, -7, 6, -6],\n [-3, -4, -11, 2, -8, 9],\n [-9, 7, -9, 5, -9, 4],\n [-1, 9, 4, -3, 9, -12],\n [9, 11, 5, 5, 1, 2],\n [-1, -9, -10, 7, -1, -6]]\nB =\n[[-2, -12, -7, 2, 2, 6, -2],\n [10, -11, 1, -11, -9, 4, -10],\n [0, -4, -6, 2, 10, -2, 7],\n [-11, 2, 1, 7, 9, -2, -10],\n [4, -1, 11, 8, 2, 3, -8],\n [7, -7, 6, 12, -8, -10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-131", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 2, -11, -10, 4, 12, 11],\n [-1, 5, 2, -1, 3, -5, 1],\n [12, 4, 8, -5, 2, 1, 5],\n [7, -6, -10, -1, 8, 11, -10],\n [7, 1, 2, 12, 1, -6, 4],\n [-1, 7, -9, -4, -7, 3, 12],\n [9, 9, 8, 8, -11, 11, -5]]\nB =\n[[-2, 0, 4, -5, 8, 5],\n [5, 1, 2, -7, -2, 0],\n [12, -12, -7, -4, -5, -2],\n [9, 6, 11, -4, 4, -1],\n [12, 1, 2, 3, 9, 9],\n [7, -12, -3, -5, 5, -12],\n [-11, -12, -12, -4, 0, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1065", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 7, 9, -6, -11, -7],\n [-6, 1, 5, 2, -11, -3],\n [10, -1, 4, -5, -2, -10],\n [-7, -4, -7, -4, -6, -4],\n [5, -1, -5, -5, 5, 7],\n [2, -6, -2, 7, 3, -9],\n [-7, 9, -10, -4, -3, 1]]\nB =\n[[-2, 5, 9, -1, 10, -1],\n [0, 12, 0, 6, 6, 10],\n [1, -9, 0, -5, 10, 8],\n [10, 6, -1, 5, -7, 5],\n [6, 9, -8, 11, -4, -10],\n [-3, 6, -10, 9, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, -1, 4, 8, 11, 7, -8],\n [-9, -1, 7, 11, 5, 4, 6],\n [-4, -9, 8, -11, -9, -11, 2],\n [-11, -9, -7, -6, -3, 6, 6],\n [9, -1, -10, 0, 5, -5, 8],\n [2, -12, -10, -5, -9, 3, 10]]\nB =\n[[-3, -1, 1, 1, -11, 10],\n [-8, -8, -7, 0, -4, 9],\n [2, 1, 11, -6, 12, 7],\n [-11, -6, -7, 4, 12, 12],\n [-11, -10, -8, -8, -12, -5],\n [-1, 11, -9, 0, 10, 2],\n [-2, -3, -10, 9, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-226", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -3, -1, -4, -12, -8],\n [7, -5, -2, -1, -12, 12],\n [9, 7, 12, -2, -8, 2],\n [-8, -1, -8, 4, 4, 11],\n [-1, 11, 2, 2, -7, -1],\n [7, 5, 1, -11, -4, -8],\n [7, -12, 10, -10, -7, -8]]\nB =\n[[8, -8, -12, 4, 6, 1, -1],\n [-3, 7, 8, 5, 11, -2, -11],\n [12, 5, 12, -6, 11, 2, -2],\n [5, 10, -1, -7, 7, 10, 0],\n [7, 3, 5, -3, 10, -5, 5],\n [8, -12, 10, -5, -7, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4382", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[9, 2, -11, -12, 10, 10, -2],\n [-3, 5, 5, 4, -5, 2, -5],\n [4, -1, -5, 12, 1, -9, -12],\n [-12, 6, 3, 1, 8, 3, -8],\n [-4, -11, 5, -7, -4, -12, -4],\n [12, 3, 0, -4, 8, 0, -4]]\nB =\n[[-2, -9, -11, -7, 1, -9, -7],\n [6, -7, -11, 5, 0, -4, 10],\n [6, 0, -2, -12, 11, 9, -6],\n [12, 8, 2, -12, -1, -6, 2],\n [8, 6, 12, -12, 4, 4, -10],\n [-1, -7, -2, -10, -5, 1, 1],\n [-3, -11, 1, -4, -10, 8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -11, -7, 8, 12, -1],\n [-8, -11, 3, -8, 2, -1],\n [-9, 2, -2, 3, 10, -7],\n [1, 5, -1, -2, 0, 8],\n [10, -2, 10, 3, 2, 8],\n [2, 12, -9, -2, 6, 2]]\nB =\n[[-9, 8, 0, 9, 6, -11],\n [1, -9, 3, 8, 7, 1],\n [2, -10, -5, 3, -3, -9],\n [5, -11, 4, 0, -9, 12],\n [-2, -6, -1, -3, -6, 0],\n [-6, 11, 4, -3, -3, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-374", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-9, 7, -9, 9, -6, 9],\n [-12, -1, 11, 0, -3, 2],\n [0, 10, 9, 9, 8, 9],\n [-4, -4, 2, -3, 11, 12],\n [-3, -5, 11, 3, 4, -8],\n [-9, 5, 11, 6, -9, -6]]\nB =\n[[-3, 12, 5, 6, -9, -3],\n [-12, 10, 5, -8, 2, 4],\n [-10, -1, -11, -12, 10, 8],\n [4, 9, 3, -8, 2, -10],\n [-6, -2, -3, -4, 1, 0],\n [12, 12, -11, -10, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-824", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -10, -3, 9, -6, -4],\n [4, -2, -6, 11, 1, 6],\n [-9, -7, -3, -6, 0, 1],\n [-9, -5, -8, -12, -9, -10],\n [-4, -5, -12, -7, -4, -6],\n [-9, 0, 4, -11, -8, -1]]\nB =\n[[8, -5, -7, -5, 5, -10],\n [9, -1, -10, 9, -7, -11],\n [10, -1, -11, -7, 4, -10],\n [-11, 10, 7, -5, 9, -1],\n [-9, -8, 0, 2, 12, 10],\n [3, -3, 12, 10, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "385", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 3, -1, -5, 7, -10],\n [3, 0, 10, 6, -5, 9],\n [-8, 7, -5, 11, -1, -12],\n [12, 8, 7, -7, 9, 5],\n [-5, -6, -12, 8, 3, -1],\n [-7, 7, -11, 1, -9, -12]]\nB =\n[[10, 5, 0, -11, -4, 8, -11],\n [12, -4, -12, -2, -10, 7, 10],\n [-9, 5, 10, -7, -10, 9, -2],\n [2, 9, -8, 7, -3, -1, 2],\n [4, -3, -7, 5, 0, -10, 11],\n [-3, 1, -7, -10, 3, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3995", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -4, 2, 8, -10, -11, -11],\n [-10, 5, 1, 7, 5, -3, 12],\n [-11, 12, 9, -12, -9, 1, -12],\n [1, 3, 9, 1, 7, -10, -10],\n [-4, -7, 12, 0, 8, -11, -5],\n [8, -11, -9, 12, 2, -9, 0]]\nB =\n[[-1, 0, 1, 7, 5, -7],\n [-2, -11, 10, 6, 6, -8],\n [6, -11, -3, 12, -11, -2],\n [5, 11, 2, -4, 10, 6],\n [-4, -10, 8, -4, 1, 6],\n [-6, 3, 3, -12, -9, -9],\n [-6, -5, 4, -8, -6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5318", "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, -9, -7, -6, 5, -8],\n [7, -10, -6, 9, 1, -6],\n [-8, 9, -8, 10, -11, 8],\n [9, -7, 2, 8, -3, 10],\n [11, -6, -8, -12, 0, 8],\n [5, 0, 8, 8, 5, -8]]\nB =\n[[0, -9, 4, -10, 4, -2],\n [8, 7, 10, 8, -9, -11],\n [7, 3, 5, -5, -10, -4],\n [7, -7, -3, 8, -3, 0],\n [4, -4, 4, 11, -4, -4],\n [-12, -11, 3, -12, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3713", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 8, -2, 10, -11, -5, 9],\n [-5, 4, 2, 4, 10, 11, 0],\n [6, -8, -1, -12, 10, -8, -5],\n [0, -5, 12, 10, -2, -12, 0],\n [6, 11, -10, 11, 4, -8, 7],\n [8, -5, 1, -9, -2, 7, 2],\n [6, -6, 6, 6, -2, -8, -8]]\nB =\n[[9, -5, -3, -7, 2, 3, 4],\n [-5, -5, 12, -4, -11, 2, 5],\n [-10, 4, -9, -9, 1, -4, -4],\n [12, 10, 5, -3, 8, -9, -1],\n [-5, -11, 9, 0, 8, 3, -11],\n [-2, -3, 2, 4, -5, 5, 10],\n [-4, 12, -5, 1, 12, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "94", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 7, 8, -1, 6, 1, 4],\n [11, 8, -10, 10, -6, 4, -1],\n [-4, 2, 5, 8, 0, 8, -5],\n [1, -5, 1, -6, 10, -1, -2],\n [9, 9, -2, 12, 9, 0, 5],\n [-11, 8, 2, 7, 5, 2, 6]]\nB =\n[[10, 11, -1, 0, 9, -2, -8],\n [-12, 11, -10, 9, 6, 10, -6],\n [-1, 2, 12, -8, 2, -5, -3],\n [3, -5, -12, -1, -8, -10, -12],\n [-9, -5, -10, -3, -11, -2, 12],\n [-3, 8, 1, -6, -11, -4, 3],\n [0, -4, 7, -9, 9, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1652", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 4, 1, 1, 12, -11],\n [8, 12, 7, -2, 3, 6],\n [10, -7, 11, 6, -8, -9],\n [2, -9, 7, -3, 11, 9],\n [-10, -8, -7, 8, 9, -5],\n [-6, 8, -3, -7, 1, -9]]\nB =\n[[12, 0, 7, 4, 10, -6, -9],\n [1, -10, 11, -8, 3, 10, 7],\n [-9, 11, 11, -11, 5, 6, 6],\n [4, 1, 6, 9, 11, 0, -1],\n [-7, 8, -9, 6, 3, 0, -9],\n [10, 4, 10, -12, 5, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-308", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -2, 12, 9, 0, -12, 4],\n [-7, -9, 7, 3, 2, 2, -7],\n [2, 1, -2, -6, -4, 3, -8],\n [12, 7, -3, 5, -10, 0, -2],\n [4, 9, 0, -7, 4, 0, 6],\n [8, 6, -3, -10, 1, 6, -8]]\nB =\n[[-8, 7, 4, 8, -3, -8, -9],\n [-7, -9, -6, -6, 5, -10, -12],\n [11, 12, -9, -7, -4, 9, 1],\n [-1, 12, 7, 11, 12, -9, 8],\n [11, -1, -3, 9, -6, -10, 10],\n [1, 11, -3, 3, 3, 9, -3],\n [12, 0, -7, -1, -4, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-782", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, -2, 7, 5, -2, 12],\n [8, -9, 5, -12, -6, -7],\n [2, 5, 11, -2, 7, 11],\n [2, 3, -6, 8, -3, -1],\n [11, 1, 12, -8, 8, 5],\n [-8, -10, 10, -8, 11, 4],\n [6, 6, 12, 8, -1, 12]]\nB =\n[[-4, -12, 5, 8, -9, -3],\n [12, -6, 9, 10, -12, 4],\n [11, -11, -2, -4, -6, 9],\n [4, 4, -11, -7, 1, -7],\n [-11, -12, -3, 8, -8, -11],\n [9, 3, 12, -11, -3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1145", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 3, 6, -6, 9, -1],\n [11, 2, -5, -7, -3, -10],\n [6, 4, -6, 8, 7, -9],\n [1, 7, 9, 2, 11, -5],\n [8, 2, 9, 7, 1, -4],\n [-5, 4, -11, 12, 11, -10]]\nB =\n[[-5, -1, -12, -3, 7, -10, -7],\n [-6, 7, 10, 12, 5, -2, 6],\n [-8, 6, -2, 11, -1, -3, -5],\n [11, -4, -9, -8, 8, -5, 10],\n [-4, 2, 2, 3, 1, -5, 5],\n [-3, 7, -7, -1, -11, -6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4080", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, 0, -10, 5, -2, -5, -7],\n [-12, -12, 10, -5, -8, 3, -2],\n [-8, -9, -7, 1, 9, 6, -4],\n [-1, -2, 1, 10, 3, -12, 0],\n [10, 8, 8, 0, -11, -9, -7],\n [10, -8, 12, -10, -12, -9, 12]]\nB =\n[[7, -11, -8, -10, -4, 7],\n [-7, 5, -7, 6, -1, 12],\n [-2, -11, 2, -1, -1, -4],\n [8, 11, -11, 9, -10, -1],\n [3, 8, 11, -12, 8, -10],\n [7, -11, -4, 6, 2, 5],\n [-2, 12, 10, 3, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-301", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -1, -2, 2, -10, -12, 7],\n [3, -11, -11, -10, -5, 11, 2],\n [-6, -7, -4, 7, -12, -5, 10],\n [10, -10, -9, 12, 2, -7, 2],\n [8, -10, 12, 8, 8, 1, 7],\n [1, -9, -1, 4, -6, -4, -10]]\nB =\n[[0, 2, 5, 6, -12, -7, 10],\n [-11, 11, 1, -7, 1, -9, 8],\n [-5, -10, 6, 1, 7, 4, 12],\n [-5, 11, 1, -7, 10, 9, 3],\n [12, 6, 1, 6, -10, -3, 6],\n [-4, 7, 0, -6, 1, -4, 10],\n [12, 6, 2, 7, 1, 11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4807", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -9, -5, 4, -4, -12, 11],\n [7, 12, 1, -2, 8, -10, -4],\n [1, -4, -9, -9, -5, -11, -4],\n [1, 9, -4, 11, 10, 3, 4],\n [3, -1, -10, -2, 1, 5, 8],\n [8, -8, 3, 7, -8, -10, -1],\n [-12, 8, -4, -4, -9, -10, 4]]\nB =\n[[-11, 11, -12, -5, 0, 10],\n [2, -5, -1, 9, -1, 1],\n [2, 2, -4, 6, 7, 9],\n [-5, 8, 6, -7, 7, 12],\n [6, -9, 10, -6, -9, 9],\n [-1, 0, -10, 9, -1, -11],\n [11, -11, 10, -4, -12, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-163", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 1) of the product matrix AB given:\nA =\n[[10, -7, -7, 9, 12, 5],\n [4, -1, -7, -5, 6, -3],\n [-12, 12, 0, 4, -10, -5],\n [1, -10, 3, 0, 7, 11],\n [4, 0, -7, 4, 1, 4],\n [-5, -2, 7, -12, -6, 8]]\nB =\n[[8, 4, -3, -2, 9, -4],\n [-4, 11, -8, 4, -4, 4],\n [11, 8, 6, -6, 10, -4],\n [-6, 0, -2, 1, 6, -2],\n [0, 1, 0, -12, -5, -1],\n [6, -1, -5, -5, 8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-1, 3, -12, 0, -6, -8],\n [-5, 12, 1, 10, 0, 2],\n [10, 4, 2, 7, 5, 5],\n [-11, -9, -12, -9, 5, -8],\n [6, 2, -5, 7, 4, -12],\n [-1, 6, 2, -4, -6, -11]]\nB =\n[[-4, -3, -11, 6, -2, 0],\n [-3, 1, 5, 6, 9, -4],\n [12, -6, -10, 7, -7, 8],\n [-11, -7, -10, 3, -5, -11],\n [4, -4, -1, -10, -2, -12],\n [10, 0, 2, -8, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-728", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, 10, 11, 12, -7, 8],\n [9, -2, 5, -9, -10, 0],\n [10, -4, 8, -7, -1, -11],\n [-10, -10, -1, 2, -4, 10],\n [-5, -2, 3, 12, 9, -9],\n [-12, 11, -6, -11, 11, -8]]\nB =\n[[-6, -9, -8, 11, -12, -12, 2],\n [7, 6, -3, 5, -10, -2, 2],\n [-2, 4, 4, -7, -8, -5, -11],\n [3, 7, 11, -1, -7, -12, -9],\n [4, 0, 5, -8, 11, 11, -10],\n [-2, 0, -9, 1, 9, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-579", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[6, 5, -7, 2, 8, -3],\n [-8, -8, -3, -8, -10, 10],\n [-7, -9, 5, -4, 4, 0],\n [2, 7, 4, 0, 3, 9],\n [-9, -8, -8, -4, 4, 0],\n [-11, 0, 9, 8, 10, 6]]\nB =\n[[-10, -3, -11, 0, 6, 4, 8],\n [1, -1, 8, -1, -2, -6, -9],\n [6, -12, 11, -10, 0, 2, -11],\n [-2, -9, 6, 4, -10, 5, -5],\n [9, 12, 11, 6, -8, -6, 8],\n [-5, -8, 4, -8, -9, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -11, -2, 9, 0, 2, -1],\n [9, 8, 9, -2, -6, -8, 4],\n [11, 7, -4, 1, -1, -7, 4],\n [6, 6, 3, -1, -1, 7, -7],\n [10, -9, -7, -2, -12, 11, 10],\n [2, -2, 12, 6, 5, 4, 6]]\nB =\n[[8, 1, 5, 6, 2, 2, -9],\n [-6, 0, -10, 3, -4, -5, 7],\n [0, 4, 4, 4, -12, -5, 6],\n [-7, -10, -8, 0, 2, 1, 10],\n [3, 5, 9, 9, -2, -10, 9],\n [-3, -3, 8, 3, -1, -11, -4],\n [11, -10, 11, 12, 2, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "492", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -5, 4, -5, -6, -6, -10],\n [-12, -9, 12, -8, -12, 2, -8],\n [0, -5, -5, -8, -4, -12, -9],\n [-10, -11, -5, 10, -4, -11, 1],\n [1, -9, -7, -2, -10, -5, -10],\n [1, 0, 0, -11, 0, 6, -7],\n [3, -11, -5, 4, 10, -11, -3]]\nB =\n[[3, -7, -11, -11, 0, 11],\n [2, -11, -6, -10, -5, 10],\n [1, 11, 10, 9, -6, 8],\n [-6, -12, 4, -4, 8, 0],\n [8, 6, 8, 6, 12, 12],\n [9, 4, 10, 10, -3, -3],\n [-9, -5, 9, 7, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1813", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[1, 5, 1, 7, 8, 11],\n [2, 9, -9, 0, 10, -5],\n [5, -1, 10, 1, -11, 5],\n [11, -11, -2, -4, -1, 4],\n [2, 12, 4, 5, 9, -7],\n [4, 10, 11, 5, -5, -4]]\nB =\n[[-7, -8, -1, 12, -2, 12],\n [-12, -2, 6, -4, -11, -1],\n [-9, -9, 5, 2, 6, 0],\n [6, 4, -7, 3, 11, -1],\n [6, -8, 4, 10, -12, 12],\n [11, 10, -3, 2, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -2, 0, -8, -12, 11, -1],\n [-2, 4, -9, 2, 12, -4, 8],\n [7, 6, 6, -1, -8, -3, 4],\n [-8, 9, 3, -6, -4, -10, 2],\n [3, 5, 1, -10, -1, -4, -6],\n [-4, 0, 5, -8, 0, -9, -11]]\nB =\n[[3, -4, -4, -7, -2, 9, 11],\n [9, -12, -9, 0, 10, 0, 0],\n [-11, -4, 11, -5, -6, -9, 5],\n [-10, -7, -1, -1, 8, -5, 9],\n [9, -12, -9, 8, -2, -10, 0],\n [12, 4, 9, 9, -3, 8, -1],\n [2, 8, -3, 1, 0, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-403", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, -11, 9, 4, -9, 1],\n [-3, -10, 12, -10, 2, -7],\n [4, -1, 9, 7, 11, -2],\n [12, -9, -7, -12, 7, 10],\n [3, 2, 4, -5, -1, 9],\n [8, -3, 2, -4, -11, -8],\n [-7, -6, 8, 12, -12, 10]]\nB =\n[[-6, 7, 12, -1, 3, 3, -2],\n [8, -9, 0, -6, -9, 2, 6],\n [-4, -2, -5, -12, 10, 12, 11],\n [-5, 0, 9, -9, -5, -10, -4],\n [-11, -11, 0, 2, 10, -1, -9],\n [-5, -4, 10, -8, 11, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1782", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 2, 9, -4, 4, -1],\n [-6, -3, 12, 12, -3, 0],\n [6, -2, 0, 8, -5, -5],\n [-9, 2, -2, -2, -12, 4],\n [2, 7, -7, 11, 9, 12],\n [2, -4, 1, 5, 4, 5],\n [-8, 7, 7, -4, -2, 11]]\nB =\n[[9, -12, 5, -7, -11, 2],\n [8, 1, -8, -7, -7, 9],\n [5, 1, -3, 1, 0, -10],\n [-7, -5, -1, 0, -2, -1],\n [-12, 4, 3, -2, 0, 5],\n [-2, -1, -7, -4, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-872", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-10, 3, 11, 12, -1, -2],\n [-8, 12, 5, 6, 10, 10],\n [-7, 9, 5, -7, -9, -1],\n [6, -11, 4, -2, -2, 8],\n [3, -11, -11, 10, -5, 0],\n [-3, -5, -9, 2, -12, -2],\n [-6, 4, 7, 11, 5, 9]]\nB =\n[[9, -1, -4, -8, -3, -9, -8],\n [-3, -2, 8, 11, -3, -5, -11],\n [10, -5, 3, 9, -8, 12, -10],\n [-1, 0, 0, -3, -9, -4, 9],\n [11, 10, -11, 6, -12, 12, -6],\n [4, -10, 7, 7, 8, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-130", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -6, 1, 4, 5, 0, 7],\n [7, 8, 5, -9, -12, 5, -12],\n [0, 7, 7, 10, -3, -2, -4],\n [-4, -8, -12, 4, 9, -11, 11],\n [0, -4, -9, -8, -2, 11, 6],\n [8, -10, -1, 6, 6, 0, -6],\n [2, 10, -6, -5, -8, 8, 1]]\nB =\n[[-9, 10, -3, 7, 2, 5],\n [7, 0, -5, -4, 3, 6],\n [3, -6, 1, 1, 12, -9],\n [2, -10, -8, -12, -10, 2],\n [11, -5, -9, -11, 11, 11],\n [-3, -9, -10, -11, 12, 4],\n [10, 8, 11, 7, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-8", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 2) when matrix A is multiplied by matrix B?\nA =\n[[-8, 8, -4, 12, 12, 9],\n [-7, -8, 12, -3, -5, -6],\n [-6, -7, 8, 7, -10, 6],\n [9, 2, -9, -1, -7, 6],\n [-9, 2, -4, -8, 0, 10],\n [5, -8, 12, 3, 6, 1],\n [12, 3, 2, 9, -9, -6]]\nB =\n[[3, 11, 9, 8, 9, 8],\n [-5, 4, 3, 10, -3, -3],\n [-11, -4, 4, -2, -3, 9],\n [12, 4, -9, 3, 7, 2],\n [12, 8, -8, -7, 4, -12],\n [12, 6, -9, 4, -4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, -5, 2, -6, -7, -12, 2],\n [10, -6, 12, 4, -11, -4, -4],\n [0, -7, -7, 7, 7, 8, -10],\n [4, 4, -1, 3, 2, 0, 10],\n [-12, 4, -10, 2, -9, -9, 5],\n [4, 6, -2, 7, -10, -5, 1]]\nB =\n[[-12, 1, -11, 10, -9, 11, 6],\n [-7, 12, -12, 4, -5, 6, 8],\n [-12, -8, 3, -7, -5, 0, 3],\n [-10, 6, -1, 3, -2, -3, 12],\n [7, -9, -1, 10, -11, 11, 9],\n [6, 12, -8, -5, -6, 1, 11],\n [10, -10, 5, 3, 10, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-333", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[5, 7, 3, -5, -12, 4],\n [-1, 8, -2, -8, -1, 4],\n [-7, -12, -8, 12, 1, -8],\n [9, 11, -12, 5, 3, -4],\n [6, 9, -8, -11, 2, -6],\n [-9, -12, 0, 7, 9, -6]]\nB =\n[[2, 10, 1, 10, 6, 9],\n [11, 7, 11, 5, -3, -4],\n [12, -5, -3, 4, -11, -7],\n [-8, -4, -8, 5, 7, -4],\n [4, 4, -1, -6, -10, -3],\n [-11, 12, -10, 3, -11, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "66", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 1) when matrix A is multiplied by matrix B?\nA =\n[[-3, -7, 9, -2, 10, -6],\n [2, -7, 7, -4, 9, 7],\n [-1, 6, 7, -10, 2, -11],\n [8, -11, 9, -10, -7, 2],\n [-3, -4, -12, 3, -7, -4],\n [-9, -11, -9, -12, 6, 12],\n [-3, 8, 2, 9, 6, 3]]\nB =\n[[8, 11, 9, -9, -11, 12],\n [0, -12, 4, 0, -9, -6],\n [4, -4, -9, 6, -12, -3],\n [-9, -4, 0, 1, -3, -7],\n [3, -7, 4, -3, 5, 9],\n [5, -10, 7, 8, 12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[2, -9, -4, 6, 11, 4],\n [-2, 12, -4, -3, 5, 7],\n [0, -5, -6, 4, 8, 10],\n [2, 7, 2, -12, 12, 1],\n [-8, -2, 3, -11, -5, -2],\n [5, -10, -12, -2, 3, 5]]\nB =\n[[3, 10, -3, 5, -7, 6],\n [-9, 0, 11, 1, -10, -3],\n [-7, -12, 10, 11, 1, -5],\n [6, 1, -3, 4, -4, -7],\n [-2, 12, -6, 4, -12, 9],\n [-8, -4, 5, 11, 8, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-95", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, -7, -5, -9, 5, -2],\n [-8, 2, 5, -11, 9, -2],\n [12, 0, -9, 9, -6, -2],\n [9, 11, -9, 2, -12, 10],\n [-10, 1, -7, 5, 12, -12],\n [-7, -7, 8, 3, -8, 4]]\nB =\n[[-3, 8, 5, -6, -10, 0],\n [2, 7, 6, -10, -9, -8],\n [-12, -9, -1, 11, -3, 10],\n [12, 8, 7, 11, 12, 0],\n [10, 1, 10, -8, -9, 1],\n [-3, 4, -3, -6, 3, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3990", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 8, -4, -7, 6, 0, -10],\n [-6, 9, -4, 9, -8, -3, 10],\n [4, -1, 10, 3, -10, 12, 9],\n [-4, 2, -8, 10, 0, 1, 7],\n [2, 3, 10, 0, 4, 10, -5],\n [8, -11, -8, -7, -1, 5, 9]]\nB =\n[[9, -12, 4, -2, -3, 6, 1],\n [-3, 2, 6, -9, -11, -4, -3],\n [-2, 1, -6, 10, 2, 9, 6],\n [9, 2, 11, -5, -2, -4, 2],\n [-12, -12, 6, -10, -3, -5, 2],\n [-3, -12, 5, -11, 6, 0, 9],\n [-12, -11, 3, 2, 0, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-236", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -6, 11, 4, -6, 0],\n [-8, 4, -10, -6, 4, -6],\n [8, -12, 4, 4, -2, 12],\n [-10, 2, 8, -2, 3, 12],\n [9, -4, 11, 11, -12, 12],\n [9, 3, -4, 6, -1, 6]]\nB =\n[[9, -4, -6, 1, 6, 6, -11],\n [-4, 0, 2, -10, -2, 8, 1],\n [12, -5, 5, 6, 3, -11, -5],\n [9, -7, -1, 2, 12, -5, -9],\n [2, 7, 12, 4, 0, 5, -11],\n [0, 0, 9, 2, 7, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "112", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 7) of the product of the following matrices:\nA =\n[[6, -10, 9, 1, -5, 10],\n [-9, 7, -2, -2, -2, -11],\n [4, -4, -11, 11, 2, 3],\n [12, -9, -5, -4, -8, 3],\n [0, -6, 7, 4, -10, -8],\n [6, -1, -6, -4, -7, 4]]\nB =\n[[3, 10, -10, 8, -9, -3, -8],\n [8, 9, -3, -1, -3, 0, -2],\n [9, 3, -5, -5, 12, -5, 0],\n [-11, -1, -3, -1, -2, 2, 3],\n [4, -11, 5, -1, 6, 10, 5],\n [4, -7, 12, 2, -10, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 0, 8, 1, 0, -9],\n [-6, 9, -3, -6, 8, 2],\n [2, -9, 10, 10, -7, 11],\n [7, -8, 7, -1, -12, -5],\n [-12, -8, 9, -7, 8, -10],\n [2, -8, 11, 1, 5, 3]]\nB =\n[[-7, 12, 11, 1, 11, -5],\n [-6, -5, 0, -7, 5, -11],\n [-5, -2, -12, 9, -7, 3],\n [7, -1, -2, -3, -10, 0],\n [-10, 2, 3, 0, 4, -10],\n [7, -2, 8, 6, 9, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4101", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 5) of the product matrix AB given:\nA =\n[[3, 8, -10, 9, -7, 1],\n [11, 5, 4, -9, 10, 2],\n [-2, -10, -10, 3, -8, 8],\n [-3, 6, 12, -9, 6, -2],\n [-11, -3, -2, 12, 7, 3],\n [6, 10, 11, -2, 1, -11],\n [10, -8, -8, 6, 8, -1]]\nB =\n[[5, -9, 9, 4, -3, 7, -7],\n [12, 1, -2, -2, 5, 10, 9],\n [5, 11, 10, -2, 8, -1, -8],\n [10, -4, 12, -4, 9, -3, 9],\n [6, -12, -6, -9, -12, 2, -5],\n [-1, 9, 9, 5, 2, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[1, 5, 7, 5, 3, -12],\n [10, -2, 2, -1, -5, 9],\n [7, -7, -10, 11, 0, 0],\n [-11, -8, 4, -7, -11, -9],\n [9, -2, -5, -1, -5, -2],\n [9, 7, -5, -5, 4, 7],\n [7, 10, 3, 1, -2, -6]]\nB =\n[[3, 0, 2, 11, 3, 8],\n [10, 11, -4, -10, 6, 7],\n [-8, -3, 4, 2, 10, 12],\n [-5, 2, 8, 1, 7, -6],\n [8, 10, -1, 4, 4, -3],\n [6, 1, -2, -11, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 7) when matrix A is multiplied by matrix B?\nA =\n[[-1, -11, 7, 5, -7, 11],\n [-3, 7, 2, -8, 7, -10],\n [-8, 12, -5, -5, -5, -1],\n [11, 10, -5, -2, 1, -5],\n [11, -3, -6, 4, -9, 0],\n [-9, -8, 9, -9, 5, -7]]\nB =\n[[11, 11, 10, 9, -11, 10, -2],\n [1, -8, -7, -3, -5, 1, 11],\n [-10, -1, 3, 10, 4, -12, 10],\n [-3, 12, 10, -3, 8, 11, -11],\n [-4, 9, 0, 12, 3, 5, 6],\n [-1, -5, 4, 2, -3, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, -6, 0, 4, -4, -5],\n [7, 8, 5, 0, 3, -4],\n [-1, -1, -7, 6, -6, 12],\n [-10, 3, 5, 3, 10, -6],\n [-9, 12, -5, 0, 0, 4],\n [4, -8, -7, 6, 0, 12],\n [1, 9, -9, -6, -5, 12]]\nB =\n[[0, -7, -7, 11, 8, -10, -10],\n [0, 9, -11, 3, 9, -7, -5],\n [10, -5, 12, -7, 1, -10, -3],\n [-10, -1, 4, -8, 7, 12, -4],\n [8, 7, -6, 9, -9, 0, 0],\n [-3, 5, 4, 7, 7, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, -9, -12, -12, 2, 0, 4],\n [11, -5, 5, 0, 10, 1, -5],\n [-5, 2, 0, -6, -8, 4, 12],\n [3, 10, -11, 9, 5, 4, -6],\n [0, 5, 1, 5, 0, -2, 8],\n [8, 3, 10, 4, -5, 6, 7]]\nB =\n[[2, -4, 7, -3, -1, 8],\n [10, 7, -12, 12, 7, -4],\n [9, 2, -12, -1, -10, -2],\n [-11, 3, -4, 2, -1, -12],\n [0, 1, 12, 12, -5, -5],\n [-1, -12, -2, -5, -3, 6],\n [-2, -6, -2, 4, -12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-73", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 7) of the result:\nA =\n[[8, -5, 10, 11, -7, 9],\n [5, -7, -8, 0, 6, 9],\n [-5, -4, 4, -10, 6, -2],\n [11, 4, 8, 6, -11, -5],\n [6, -6, 4, -7, 6, 11],\n [-7, -11, -7, 10, -8, 6],\n [7, -9, 9, 4, -2, -9]]\nB =\n[[0, 7, 4, -4, -9, 10, 1],\n [6, -10, 1, -5, 11, -12, -3],\n [5, 3, -5, -12, -1, -5, 11],\n [3, 5, -9, -7, -1, -4, 2],\n [3, 11, -1, 11, 10, 1, 0],\n [12, -11, -10, 11, 9, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[7, -5, -3, 6, -10, 11, -8],\n [-10, 3, 4, 2, -10, -1, -4],\n [8, -1, 2, -11, 10, 5, 7],\n [-1, 10, -9, 10, 3, 10, 3],\n [-12, 9, 12, -11, -10, 8, 12],\n [7, 4, 7, 9, 8, -12, 7],\n [-7, 2, 1, 7, 2, 1, 12]]\nB =\n[[8, 11, 12, -8, -7, 4, -2],\n [3, -1, 2, 10, -9, 5, 8],\n [-10, 9, -5, 10, -10, -5, 5],\n [-3, 12, 7, 4, -5, 10, -2],\n [-8, 0, 8, 10, -8, 11, 0],\n [-7, -8, -4, 3, -11, -12, -5],\n [6, -2, -1, -1, -6, 0, -5]]\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[[9, -4, -6, 8, 11, 2],\n [-11, 10, 7, 12, -1, -12],\n [10, 9, -5, -8, 2, -12],\n [-12, 12, -3, 9, -3, 8],\n [2, 4, 9, -7, -10, 0],\n [3, -5, 2, 4, 4, 9]]\nB =\n[[0, 4, -7, 4, 3, 1, 0],\n [-7, -10, 1, 1, 2, -5, 2],\n [9, 0, 4, 8, 11, -10, -7],\n [-8, 9, 4, 10, 12, -11, 2],\n [-8, 7, -7, -7, 5, 5, -9],\n [4, 12, 1, 1, 0, -6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4562", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[10, 2, 6, -2, 2, -1, -10],\n [4, -10, 6, 7, -9, -10, 3],\n [-1, -5, 11, 4, -6, -2, 5],\n [-12, -10, -9, 0, -7, 1, -8],\n [3, 2, 2, -9, -5, 3, 3],\n [-9, 0, 0, -11, -10, 9, -5],\n [11, 2, -2, -4, -6, 0, -11]]\nB =\n[[-5, -6, 11, -1, 6, -6],\n [-3, 12, 3, -10, -3, -7],\n [5, 5, -8, 8, -6, -11],\n [-2, 0, 10, -8, -7, 11],\n [1, -1, -9, 10, -7, -3],\n [5, 2, -5, -4, -8, -3],\n [7, -7, 3, 11, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-32", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -2, 4, -9, -9, 4, -4],\n [6, -8, 9, 11, -7, -10, 9],\n [-12, 7, 9, 3, 10, -2, 0],\n [-3, -10, -4, -1, 10, 1, -12],\n [5, 4, -4, -4, 10, -3, 6],\n [2, -8, 2, 7, 10, 12, -11],\n [0, 11, 3, 2, 12, -3, 1]]\nB =\n[[-3, 12, 1, 10, -4, 12, 1],\n [-10, 7, 3, -11, -3, -10, -2],\n [-2, 8, 8, 9, 0, -6, 10],\n [4, -11, -1, 12, -3, 5, 9],\n [-2, 3, 4, 6, 5, -10, 8],\n [3, -7, 12, -1, -2, 2, 2],\n [3, -3, -1, 0, -9, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4940", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[-11, 2, -5, -6, 2, 10],\n [1, -5, -1, 0, -2, 4],\n [4, 11, -9, 8, -5, -8],\n [3, -9, 9, 2, -1, -8],\n [10, 3, 1, -3, -6, 0],\n [7, -8, -10, 2, -9, 2],\n [1, 7, 6, 0, -3, 8]]\nB =\n[[-8, 10, 7, 7, 12, -7],\n [-9, -11, 9, 3, 5, -8],\n [9, -9, 0, 6, 10, -11],\n [0, -2, 9, -9, 9, 7],\n [7, 2, -9, -4, -6, 6],\n [6, -7, -7, 7, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-162", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, 7, -4, -9, 5, 5],\n [-8, 7, 10, -2, -8, 9],\n [-9, -1, -11, 0, -3, -4],\n [-3, -6, -9, 6, -3, -10],\n [12, 8, 6, 8, -11, 7],\n [-3, -11, -11, 11, 4, 3]]\nB =\n[[3, 1, -6, 8, -2, 11, -12],\n [-2, 10, 8, -9, -6, 2, 5],\n [-1, 4, -12, -2, -12, 2, 8],\n [-3, -6, -11, -3, 11, -9, -1],\n [6, -2, -5, 5, -2, -2, 0],\n [-10, -1, -10, -3, 4, 9, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-246", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[4, 3, -11, 9, 7, -7],\n [12, -3, -3, -5, -12, 0],\n [11, -4, 9, -3, 2, -8],\n [9, 3, 0, 9, 12, 7],\n [5, -2, -4, 3, -11, 12],\n [-11, -1, -5, -4, -1, -4]]\nB =\n[[-3, 12, -11, 3, 7, -6],\n [-11, -12, 6, -9, 11, 9],\n [-11, 12, 1, -11, 2, -1],\n [-8, 7, -6, 11, 8, -3],\n [1, 1, -8, 5, 11, 1],\n [-11, -1, 9, 11, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, -9, 9, 1, 3, -9, 11],\n [12, -12, 0, -9, 7, 5, -7],\n [-10, 10, 0, 3, -8, -9, 8],\n [-5, 6, 1, -6, 1, -7, -1],\n [3, 4, 0, 10, 1, -6, 1],\n [2, -1, 4, -4, 9, 2, -1]]\nB =\n[[-11, -8, 0, 7, 10, -5, 1],\n [2, -2, -12, 8, -10, 4, 6],\n [1, 9, 10, -5, 0, 7, -10],\n [-8, -4, -7, 12, 9, -11, 0],\n [-8, 12, -5, 10, -12, 7, -1],\n [10, -2, -6, 2, 9, 11, -2],\n [9, 3, -10, 7, 1, -10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-412", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, 2, -12, 4, -11, 7, -7],\n [-5, 3, 6, -12, -10, -10, -8],\n [-1, -1, 7, 0, 7, -4, -6],\n [-9, 6, 9, 6, -7, 0, -2],\n [0, 0, 12, 9, 7, 2, 8],\n [0, 9, -2, 6, -5, 7, -5],\n [-3, 3, 6, 10, -2, 0, -4]]\nB =\n[[7, 11, 6, 3, -6, 6],\n [-1, 2, 10, 1, -2, -3],\n [-2, -7, -11, -2, 6, -7],\n [1, 7, -7, 4, -3, -12],\n [-10, -5, -5, 7, 9, 2],\n [11, -6, -2, -6, -9, 12],\n [-1, -7, 1, -1, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-806", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, -8, 1, 8, 11, 3, 12],\n [0, 12, 9, 9, 12, 7, 9],\n [-9, -2, 4, -6, 1, -2, 9],\n [-4, 10, 0, 10, 5, -2, 2],\n [12, 12, 9, 6, -12, -9, 1],\n [1, -10, 4, -10, 3, 1, 7]]\nB =\n[[0, 2, 1, 11, 12, 6],\n [-7, -3, 2, 8, 9, 7],\n [-7, 10, 12, -3, -6, 9],\n [4, 5, 4, -4, -3, -3],\n [12, -6, 3, 5, -7, 7],\n [-12, -12, -1, 8, -11, -9],\n [4, -9, -2, 9, -9, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 5, -4, -10, -5, 11],\n [6, -9, 5, 7, -2, 1],\n [12, 5, 3, -10, 2, -9],\n [-8, 4, -6, 3, 1, 3],\n [-6, -4, -9, 9, -2, -11],\n [-1, -1, -9, 5, 8, -6]]\nB =\n[[-12, 10, 0, -7, -7, -1],\n [-5, 11, 9, 6, -8, 5],\n [-8, 12, -3, -12, -3, -8],\n [-1, 9, -6, -4, 9, 8],\n [-1, 10, -12, -2, 8, 2],\n [-11, 7, -6, 8, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3793", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -10, -6, -2, 5, -1, -7],\n [-8, -12, -1, -2, -9, 5, -9],\n [4, -11, 11, 9, -11, -1, -7],\n [-3, 12, 10, 12, 8, 10, 3],\n [1, -6, 6, 10, 4, -4, 0],\n [9, -8, 10, -8, -3, 8, -3],\n [-6, 2, -6, 2, -10, 6, -3]]\nB =\n[[2, -10, -7, -1, 2, -7, 0],\n [6, -10, -5, -5, 10, 7, 2],\n [-9, 6, 8, -10, 0, -5, 10],\n [3, 0, -10, 3, -4, 1, 0],\n [8, 12, -6, 2, -6, -7, -11],\n [-4, 9, 11, 4, -8, -1, -12],\n [-3, -2, 3, 1, -5, 11, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4305", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 7) when matrix A is multiplied by matrix B?\nA =\n[[12, 5, -1, 12, 4, 1, 3],\n [1, -4, -9, 12, 10, -2, -7],\n [2, -8, -2, 12, 5, 0, -2],\n [1, 5, 12, 6, 11, 2, -4],\n [-5, 7, -12, -9, 1, 12, -11],\n [3, -10, -5, -7, 3, 11, 3]]\nB =\n[[-6, 0, 0, -8, 12, 7, 9],\n [5, 2, 5, -11, -3, 10, 0],\n [5, 2, -1, 2, 0, 5, 2],\n [12, 10, -2, 6, -10, -6, 8],\n [1, 1, 9, 0, -1, 11, -4],\n [-12, 6, -2, 10, 9, 10, 11],\n [9, 6, 5, -1, 10, -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 sum of absolute values of all entries of the result:\nA =\n[[7, 4, -8, -10, -11, -10],\n [-5, 3, -7, 0, 10, 9],\n [9, 3, 3, -10, 0, 1],\n [-5, -1, 10, 10, 9, 8],\n [-5, 8, 12, -4, -12, -7],\n [10, 6, 10, -2, -2, 10],\n [0, -2, 5, 10, 2, -12]]\nB =\n[[8, 12, -6, 10, 0, -1, 5],\n [11, 6, 2, -5, 6, -3, -6],\n [5, 3, 7, -7, -4, 8, 0],\n [12, 8, -5, 3, 0, 0, 4],\n [10, 7, -8, 9, 8, 4, -4],\n [-11, 12, 5, -4, -7, -2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3964", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 5) of the result:\nA =\n[[-7, -7, 0, -2, 1, -11],\n [-5, -10, 10, 8, -10, -12],\n [11, 6, 5, 4, 7, 11],\n [0, -10, -12, -9, 12, 0],\n [4, -2, -11, 12, 3, -11],\n [6, 10, 6, 12, 3, 9],\n [6, -4, -12, -3, 6, -12]]\nB =\n[[-11, 3, -1, -5, 10, 5, -11],\n [12, 0, -7, 8, -7, -4, 3],\n [-2, -6, -3, -3, 12, 7, 5],\n [11, 7, -4, 2, -9, -5, -4],\n [0, -4, -9, 4, 3, 2, -10],\n [12, 7, -8, 10, -8, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 2, -11, 0, -9, -3],\n [0, -3, -4, -5, -10, 3],\n [1, -4, 8, -2, -10, -8],\n [-3, 0, -9, 11, 0, -1],\n [-8, -3, 11, -4, 7, -6],\n [-11, 9, 11, 10, -6, -5]]\nB =\n[[-6, 8, 10, 1, 6, -8],\n [10, 12, 5, 7, -1, 10],\n [4, 0, -11, 12, 0, -6],\n [-3, 10, -7, -10, -10, 5],\n [-2, 9, 7, -8, 6, 9],\n [6, 2, 3, 11, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3319", "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, 12, -1, 10, -10, 10],\n [1, 4, 6, -7, -9, -6],\n [6, 4, 12, 3, 2, 9],\n [-5, 6, -5, 5, 3, 7],\n [6, -3, 4, 0, 0, -6],\n [-3, -11, -9, 12, -7, 11]]\nB =\n[[5, 10, -7, 12, 10, 4, 1],\n [11, -2, 6, -11, -10, -2, -7],\n [1, 6, 3, 8, 9, 11, -6],\n [-5, 6, 7, 3, 9, -6, -4],\n [0, -12, -5, 11, 9, -9, -10],\n [-10, 9, 0, -5, -6, -12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4682", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, -6, -1, 10, -4, -2, -3],\n [8, -12, 5, -9, -8, -4, 4],\n [-10, 3, -8, 3, -10, 7, 2],\n [-10, 7, 1, 3, 4, 11, 7],\n [10, 5, 5, 9, 1, 5, 2],\n [2, -7, 2, 5, -9, 10, -5],\n [2, -10, 2, 0, -4, -11, 11]]\nB =\n[[-5, 7, 4, 0, -12, -11],\n [2, -1, 1, 12, -11, 5],\n [9, -6, 10, 12, -7, 1],\n [-5, 9, -11, 4, -8, 1],\n [12, 11, 7, 8, 8, 9],\n [-10, -8, 3, 5, 4, -2],\n [4, 3, 10, -11, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1859", "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, -11, -7, 4, -6, 12],\n [-8, -8, 7, 3, 6, -4],\n [-8, -5, -4, -8, -3, 12],\n [-11, -4, -2, -9, 9, 9],\n [9, -11, 10, -7, 1, -12],\n [5, -6, -12, -12, -12, 11],\n [-9, -9, 5, -2, -12, -3]]\nB =\n[[-4, 10, -9, -7, 3, -11, 10],\n [5, -3, 11, 11, 4, 0, 11],\n [5, 9, 0, 4, -8, -2, -6],\n [-3, 4, 2, 5, 10, 9, 6],\n [-11, -9, -10, -6, 11, 5, -3],\n [-6, -5, -7, 9, -12, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5435", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 7, 5, -2, 8, 1, -4],\n [2, -1, -3, 6, 11, 6, -7],\n [7, 11, -7, -5, -12, 9, 4],\n [4, 11, 2, -6, 6, 9, 12],\n [10, -10, 9, -2, 7, 6, -4],\n [-3, -11, -12, 3, 5, 10, 4],\n [-7, 1, 10, 12, 2, 1, 11]]\nB =\n[[9, -10, 11, 10, 6, 12, -1],\n [-11, -10, 5, -12, 7, 8, -7],\n [-8, -12, 6, -12, 8, 8, 3],\n [-1, 9, -5, 3, -12, -9, -3],\n [-2, 4, 12, 10, -6, -1, 8],\n [-6, -1, 2, -11, 1, 0, -9],\n [1, 1, 3, -6, 6, -11, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6632", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 4, -8, -1, -7, 9],\n [-4, 7, -12, 9, 2, 8],\n [-7, 6, 5, -7, 0, -12],\n [10, 10, 0, -6, 2, -1],\n [-12, 2, -9, 0, 10, 12],\n [-8, -11, 10, -12, 3, 10],\n [-7, 10, 3, 1, -10, 2]]\nB =\n[[-10, 10, -11, -12, -4, -4, 10],\n [-6, -10, 5, -2, -6, -4, -12],\n [1, 7, -7, -6, -3, -6, -11],\n [-9, 8, 4, -12, -3, 6, 2],\n [-3, 6, -1, 11, 3, -4, 2],\n [4, 1, 5, -11, -9, 5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5066", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, 2, 12, 10, 9, -12, -2],\n [-3, 12, -8, 3, -2, 8, -7],\n [-4, 0, 11, -5, 1, 11, -12],\n [4, 11, -8, 12, -11, 12, 11],\n [-4, -9, 4, 4, 8, 5, 3],\n [-5, -2, 8, 8, 5, 10, 11]]\nB =\n[[-3, 0, 4, 5, -3, 3, 7],\n [-8, 0, 5, 4, -4, 1, 4],\n [-9, 5, 7, 11, 11, 2, -2],\n [-1, -4, 0, 2, 2, -8, 10],\n [6, 7, 12, 1, 4, 5, 8],\n [-10, -11, -12, -3, 6, 4, -1],\n [-12, -1, 4, 11, -10, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4867", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -10, -5, 7, -9, 8],\n [9, -6, 1, 1, -9, 3],\n [11, 9, -12, 4, 12, -3],\n [9, 3, 3, -5, -6, -7],\n [3, 7, 3, -6, -4, 1],\n [-2, 1, -6, -12, 12, 0],\n [7, -10, 7, -9, -2, -11]]\nB =\n[[1, -1, 4, -1, -1, -12],\n [0, 1, 11, -11, -1, 8],\n [3, -9, -5, -11, -3, -4],\n [10, 2, 0, 10, 4, 3],\n [-11, 7, 7, 1, -10, 10],\n [-1, -5, -11, -9, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4661", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -11, -1, 1, -7, 0, -9],\n [9, 5, -1, 7, 9, 8, 6],\n [-5, -6, 3, 6, -7, 7, 8],\n [-2, -8, 3, -6, -8, -2, 2],\n [-10, -8, 10, 8, -8, -4, 2],\n [-10, -7, 4, 8, -5, 8, 12]]\nB =\n[[-2, -7, -5, -3, 11, -10],\n [10, 1, 10, 1, -3, -1],\n [-7, -1, 10, 1, -11, -4],\n [-3, 4, 4, -10, 6, -12],\n [-1, -6, -9, -3, 0, -11],\n [-3, 8, 9, 12, -9, 5],\n [-8, 6, -11, -1, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3055", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-11, -7, -5, 6, -2, 12, -1],\n [-4, -11, -5, -2, 8, -9, -3],\n [8, 7, 3, -5, -9, -3, -1],\n [1, 3, 9, 5, 8, 9, 8],\n [-1, 5, -6, 7, 11, 10, -6],\n [-4, -12, -7, -7, 9, -1, 9]]\nB =\n[[-1, -3, 10, -7, 4, 6, 5],\n [-7, 11, 6, -3, 11, -5, 8],\n [11, -7, 8, 12, -6, 11, -12],\n [5, 11, 12, 7, -1, 3, -3],\n [-3, 1, 12, 7, -3, -3, 12],\n [-2, 10, -11, 12, 7, -5, 10],\n [-6, -5, -12, 8, -11, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, -8, -11, 7, -10, 6, 5],\n [9, 5, 1, 11, -5, -1, 8],\n [-3, 10, 7, 4, -2, -11, -9],\n [-12, 2, 0, -5, 12, -9, -3],\n [6, 5, -8, 6, 10, 9, 3],\n [-12, -1, 11, -11, 8, 12, -5],\n [5, 12, 3, -8, 9, 0, 6]]\nB =\n[[-10, -5, -1, -11, -2, -1, 5],\n [0, -8, 9, -1, -11, -8, -6],\n [11, -1, 3, 10, -5, -4, 2],\n [-8, 0, -8, -2, -3, 7, 0],\n [-4, 8, 1, 5, 2, -3, 11],\n [-6, -5, -10, 2, 3, -9, 8],\n [-7, -12, -9, -2, -1, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6475", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 3, 0, 0, 4, -6, -5],\n [0, 10, 3, -9, -5, 3, 8],\n [-3, 12, -1, -1, -8, 3, -12],\n [-4, -1, -8, 9, 7, 9, 11],\n [-10, -8, -11, 1, -11, 0, -6],\n [-3, 0, 3, 1, -2, -3, -7]]\nB =\n[[-9, 8, -12, -6, 11, -4],\n [-5, -8, 6, -3, -2, 12],\n [2, -7, 2, -8, 6, 9],\n [6, -3, -1, 9, -9, 5],\n [3, -5, -9, 12, 10, -1],\n [-11, -9, -8, -10, -4, 8],\n [5, -2, -10, 12, 10, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-303", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 1, -9, -4, 0, 5],\n [2, -3, 3, -1, 7, -8],\n [-11, -3, -12, -6, 4, 3],\n [11, -10, 1, -3, 9, -6],\n [4, -7, 10, 9, -9, 4],\n [-4, -9, -6, 10, -11, 4]]\nB =\n[[11, -5, 10, 2, 2, -5],\n [3, 6, -2, -11, 10, 11],\n [4, 3, 12, 2, 0, 2],\n [-9, 3, -1, -9, -10, 9],\n [4, 9, 5, 12, 5, 10],\n [4, -1, 10, 8, 11, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-895", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, 10, 9, 8, 7, 2],\n [10, 3, -8, 8, 2, 4],\n [5, -8, 0, 6, 0, 5],\n [1, -9, -9, 7, 7, 6],\n [0, -1, -6, 12, -1, 8],\n [-9, -11, -11, -8, 10, -3]]\nB =\n[[-3, -4, 0, -6, -8, -3],\n [-3, -7, 6, 8, -5, -12],\n [4, -6, 1, 8, 8, 4],\n [-4, 4, -8, 12, 7, -5],\n [-7, -2, 6, -9, 5, -12],\n [0, 1, 11, -12, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-252", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -1, -3, -7, 12, -12],\n [-6, 8, 3, 11, 1, 10],\n [7, 7, -7, 9, 12, -8],\n [11, 8, 5, 2, -7, 12],\n [6, -12, -12, 0, -10, -3],\n [8, -10, -4, -5, -10, 12],\n [0, -7, 0, 10, 7, 7]]\nB =\n[[-1, 0, -11, 8, 11, 10],\n [3, 10, -7, 6, 8, 0],\n [4, 10, -4, 4, -11, 6],\n [6, 11, -6, 9, -3, -3],\n [7, -4, 4, 2, -11, -9],\n [6, 4, -8, -6, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5728", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -6, 4, -6, -9, -5],\n [0, -9, -7, 12, -8, -1],\n [-9, 11, -4, -9, 6, 11],\n [1, -8, 5, -3, 12, 6],\n [-1, 5, 4, 11, -2, -10],\n [10, 4, -12, 2, -4, 2],\n [11, -10, 9, 6, 0, -1]]\nB =\n[[7, -12, 8, 4, 0, -12],\n [-3, 2, -6, 9, 5, 3],\n [1, 5, -6, 4, 5, -1],\n [-5, 9, -11, -6, -9, 5],\n [-7, -4, -4, 1, -5, 6],\n [-10, 5, -8, 1, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-453", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 12, -1, -11, -2, 1],\n [9, 10, 3, 7, -7, 10],\n [-9, 2, 11, 12, -12, -6],\n [12, -1, -3, -8, -1, 5],\n [-3, -7, -1, -6, 5, -11],\n [-3, 2, -1, 4, -9, -6]]\nB =\n[[-4, 6, 10, -6, 10, -11, -7],\n [5, -7, 0, 6, -11, -1, 2],\n [1, -7, 5, -8, 5, -10, -10],\n [9, 9, -3, 6, -10, -1, 3],\n [4, -6, 0, 11, -11, -9, -3],\n [-6, 11, 4, 7, -7, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3387", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -4, 0, 6, 8, 11],\n [-7, -9, 11, -10, -10, -9],\n [12, -8, -5, 3, 9, -10],\n [11, -1, 12, -5, 0, -9],\n [1, 1, 0, -7, 4, -9],\n [-5, 4, -10, 4, -4, -11]]\nB =\n[[12, 0, 7, -11, 7, -2],\n [9, 2, -2, 10, -10, -10],\n [-1, 11, -8, 7, -6, -6],\n [0, -4, 12, 8, 0, -1],\n [0, 11, -3, -12, 12, -5],\n [9, 3, 0, -10, -10, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "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, -2, -6, 8, 11, -3],\n [-3, 7, -11, -10, -5, -2],\n [0, -6, 0, -11, -7, -4],\n [7, 12, -11, 5, 3, 12],\n [-1, -6, -6, 4, 0, -2],\n [-7, 10, 1, -7, -7, -11]]\nB =\n[[9, 7, 12, 2, 4, -5, -8],\n [4, 7, -12, 9, 5, 2, -8],\n [-6, 5, -7, 9, 8, -8, 6],\n [-3, 2, -3, 3, -1, 5, 10],\n [-12, 3, 9, -7, -10, -11, -11],\n [0, -4, 3, -8, 10, 8, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3460", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 7, 11, 0, -6, -3, 2],\n [8, -7, -8, 10, -11, 8, 2],\n [3, 6, -4, 9, 6, -6, -9],\n [-10, 11, 7, -2, -12, -7, -2],\n [-12, 8, -6, -7, 1, -11, -9],\n [-2, 2, 5, -12, -10, -10, -6]]\nB =\n[[-12, 12, -2, -7, 7, -10],\n [6, -11, 5, -1, -3, -8],\n [-4, -11, -11, -7, -3, 5],\n [-1, -9, 9, 8, 4, 2],\n [-7, 3, 4, -10, -3, -8],\n [1, 8, 0, -7, -1, -5],\n [-8, 2, 3, -12, 3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4649", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 7, 2, 0, 11, 3, 10],\n [-2, 8, -11, 9, -7, -7, 1],\n [12, -2, -5, -5, -12, 8, -6],\n [-7, 8, -5, 6, 9, 8, 11],\n [7, -5, 1, 5, 12, 3, -4],\n [2, -3, 9, 3, -9, 7, 0]]\nB =\n[[9, -8, 9, -6, 10, -4, -5],\n [3, -7, 3, -7, 1, 8, -12],\n [12, -4, 12, 11, 0, 6, 4],\n [-2, -5, 10, -8, -3, -6, -3],\n [-9, -4, 1, -11, 12, -4, 8],\n [-12, 10, -3, -3, 7, 12, 9],\n [-10, -7, -7, 8, -11, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4870", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, -1, 9, -8, 7, -6],\n [11, 3, 7, -12, -12, 4],\n [-12, 8, 7, 0, -4, 2],\n [-10, 1, 10, -2, 11, 9],\n [-1, 0, 0, -12, 11, -3],\n [-10, 11, -9, 3, -5, 3],\n [4, 6, 9, 2, 3, 2]]\nB =\n[[12, -11, -2, -12, 2, 6, -9],\n [-2, -8, -10, 0, -3, -2, 5],\n [-11, -6, -4, -3, 5, 10, -6],\n [-6, -10, -1, -6, 4, -12, -8],\n [3, 2, -11, -4, -6, -9, 7],\n [5, 8, -9, 0, -12, 11, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4811", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, 9, -9, 12, 10, 12, 3],\n [6, -12, -8, 6, 9, 11, -2],\n [0, 7, -8, 8, -9, -9, -9],\n [-9, 7, 8, 5, 5, 3, -4],\n [5, 9, -11, 8, -9, -1, -6],\n [2, -6, 9, 8, 4, 3, 6],\n [-4, 1, 4, -8, -11, 7, 3]]\nB =\n[[1, 1, -12, -10, -6, 2, 6],\n [7, -11, 6, -4, 6, -8, 5],\n [3, -9, -1, -6, 1, 10, -1],\n [-10, -8, 4, -3, -3, -2, 4],\n [-8, 0, -3, -4, 4, -12, -9],\n [-9, 5, -4, 12, 5, 1, 12],\n [2, -7, 11, -3, 2, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "147", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 12, 4, -1, -6, 3, -2],\n [1, -10, 6, 5, -3, -7, 0],\n [-3, 5, 7, 3, 12, 12, -7],\n [0, -9, 10, 1, -12, 7, -8],\n [-5, -1, -11, -1, -8, 9, -8],\n [0, -4, -3, -12, -10, 5, -1],\n [-10, 12, -4, -11, -10, 1, -9]]\nB =\n[[12, 6, 0, -6, -1, -10],\n [10, 10, -4, -11, 9, -4],\n [-1, -1, 2, -11, 5, 0],\n [1, -8, -3, -1, -3, 11],\n [-2, 12, -11, -8, -6, -7],\n [9, 10, -10, 0, -10, 12],\n [11, 8, -7, -2, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4691", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[-1, 4, -9, -11, -2, -6],\n [-11, 5, 8, -9, -5, 7],\n [1, -1, 9, 8, 5, -2],\n [-5, -11, 12, 2, -4, 6],\n [7, -5, 12, 6, -8, -2],\n [2, -5, 6, 10, -5, 6],\n [5, -3, -6, -4, -12, 6]]\nB =\n[[-8, 6, -12, 2, 3, 10, -6],\n [-1, -5, -8, -3, 8, -8, 4],\n [-8, 9, 2, 0, -12, -2, 10],\n [-12, -2, 5, 5, 8, 3, 0],\n [-6, -12, 3, -12, 4, -7, -11],\n [4, -7, 1, 5, -7, -3, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[5, -4, -5, -3, 4, 10, -7],\n [1, 9, 9, -7, -6, -1, -10],\n [1, 9, 6, 10, 3, -6, -5],\n [5, 12, 0, 8, -4, -3, 8],\n [10, -4, 2, 7, -11, 12, 0],\n [-11, 6, -11, -10, -7, -10, -3],\n [11, -7, 10, 3, 4, 6, -10]]\nB =\n[[5, -6, -4, 7, -1, -8, -10],\n [-2, 12, -9, -8, -12, 5, -1],\n [0, -4, -11, -8, 0, 3, 3],\n [11, -10, 9, -9, -2, 10, 1],\n [-10, 3, 9, 2, -3, -4, -2],\n [3, -3, 4, 6, -11, 11, 10],\n [-11, -7, 6, -5, -10, 1, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "152", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -12, 8, -10, 9, 5],\n [-4, -7, 10, 8, 12, -12],\n [8, -3, -7, 10, -1, -9],\n [0, 4, -5, 7, -10, -1],\n [-6, -1, -11, 11, 1, 9],\n [10, -8, -4, 8, -2, -8]]\nB =\n[[-10, 4, -11, 11, -12, -6],\n [1, -8, 6, -2, 10, 12],\n [-11, -5, -4, -10, -11, -6],\n [-8, 8, -8, 7, 0, 8],\n [7, -7, 7, 5, 12, -11],\n [12, -7, -4, 12, -10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "182", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-12, 6, -8, 0, 6, -1],\n [3, 12, 12, 6, -10, -1],\n [-8, -11, 9, -6, 0, 12],\n [2, 9, -10, 8, 7, -8],\n [11, -5, 9, -12, -5, 11],\n [5, 7, 3, 5, 7, -1],\n [0, 0, -3, -6, 12, 1]]\nB =\n[[11, 3, 2, -1, -4, -5, 5],\n [10, 5, 0, 5, 2, -9, 4],\n [-8, 9, 3, -4, -3, 11, 5],\n [4, 5, -6, -9, -8, 10, 3],\n [-10, 5, 10, 8, 1, 2, 4],\n [-12, 12, 8, 4, 10, 12, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5032", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 1, 7, 6, 8, -6],\n [11, 0, 5, 10, 1, -12],\n [-6, -5, 5, -4, -12, 9],\n [4, 6, -7, -10, 11, -8],\n [-11, 7, 12, -9, -3, -3],\n [11, 8, -2, 3, 4, 3]]\nB =\n[[-6, 3, -10, 3, -5, -1, -10],\n [4, 8, 5, -2, -9, 3, 4],\n [-4, -7, 11, 7, 12, -11, -4],\n [8, -7, -10, 7, -7, -6, -12],\n [10, -12, -8, -7, 0, -11, 2],\n [2, 0, 12, 1, 9, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-486", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, -3, 4, 1, -5, -9, 3],\n [11, 0, 9, 12, 7, 5, 1],\n [5, -8, -4, -10, -5, 7, 9],\n [-3, 9, 6, 8, -10, -2, -2],\n [4, 3, -6, -9, 10, 6, -1],\n [2, -2, -8, -8, 2, 5, -2]]\nB =\n[[-1, -11, 7, 2, 7, -9, 9],\n [5, -7, 10, 6, -2, 11, -11],\n [-5, -2, -8, 5, 10, 5, 1],\n [9, -3, -10, -4, -10, -2, -1],\n [-1, -10, 8, -6, 1, 11, -2],\n [-6, 12, 8, -3, -2, 2, 6],\n [3, 9, 8, 7, -1, 5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4045", "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, -8, -9, 1, -5, -4, 12],\n [6, -10, -8, 8, 5, -12, -5],\n [6, 4, 4, -2, -11, -7, 9],\n [1, -10, -1, -9, -1, 0, -11],\n [-11, 2, 10, 4, -6, 1, -1],\n [4, 1, -7, 6, 11, -7, 5],\n [11, -8, 11, 11, -7, -11, -5]]\nB =\n[[2, 2, -2, 9, 9, 11, -12],\n [5, -1, -1, 12, -2, -5, -6],\n [10, 8, -11, -2, 9, -3, -10],\n [7, -3, 5, 1, 5, 11, -5],\n [-3, 9, 0, 8, -5, -9, -9],\n [-8, -12, 4, -11, -5, -6, 2],\n [12, -8, -11, -6, -5, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5780", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 8, 5, -7, -9, -3, 5],\n [-1, 3, 12, -6, -7, -8, -10],\n [-1, 2, -3, 7, 6, 3, -2],\n [-5, -10, 10, -6, 10, -6, 1],\n [-11, -3, 6, -4, 3, 6, 5],\n [-4, 3, 0, -3, 12, 7, 1],\n [-1, 12, 6, -6, 10, 2, 3]]\nB =\n[[-5, -3, -9, 6, 6, 8],\n [2, 1, -12, 3, -3, 6],\n [9, -10, -8, -4, 5, -2],\n [3, -11, -1, 9, -7, -2],\n [-5, -1, -11, -4, 2, -11],\n [-12, -3, -11, -1, 10, -5],\n [-8, 9, -12, 2, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1069", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 0, 6, -12, -2, 7],\n [-12, -5, -8, 4, -5, 12],\n [-3, -11, -4, 11, 10, -10],\n [5, -6, 2, 8, 9, 7],\n [5, 12, -10, 10, 1, 11],\n [-11, 1, 9, -2, 3, -5],\n [-6, -2, -10, 4, 1, -7]]\nB =\n[[-5, 9, -8, -5, -11, 2],\n [-1, 4, -12, 2, 1, 7],\n [9, 3, -4, -12, 4, 0],\n [8, 8, -8, -3, -7, 11],\n [6, 12, 0, -12, 7, 12],\n [2, 1, -5, -3, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1032", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, -10, -2, -1, -3, 12, 4],\n [4, 12, -2, 9, -9, -6, 8],\n [1, -6, 11, -5, -12, 11, 9],\n [-9, -1, 11, -10, 0, 7, -7],\n [-2, 10, -9, 7, 3, -6, 9],\n [-2, 11, -12, -6, -1, -6, 10],\n [-6, -3, 3, -5, -4, -4, -11]]\nB =\n[[0, 0, 10, 10, -9, 12, 11],\n [-1, 4, -11, 0, 5, 2, -5],\n [2, -12, 7, -3, -1, -8, -4],\n [10, -5, 3, 1, 12, 0, 10],\n [8, 0, -8, 3, -2, 9, -8],\n [0, -2, 12, 6, -10, 2, -6],\n [-6, -7, -10, 0, -6, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1661", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[5, 9, -5, 4, 7, -12],\n [1, 4, -3, -1, 3, 1],\n [3, -5, 10, -3, 4, 5],\n [7, 3, 4, 3, 6, 11],\n [11, -5, -7, -7, 8, -4],\n [-9, -1, -1, 10, 4, 2],\n [-4, -6, -3, 3, -1, 12]]\nB =\n[[-6, 5, 2, -7, -1, -2, 7],\n [-10, -11, -7, 11, 9, 12, -8],\n [5, 3, -5, 12, 7, 9, -2],\n [-3, 11, 12, -1, 8, -7, 7],\n [-8, 10, -4, 3, 9, 1, 9],\n [-5, 7, 6, 1, -6, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-200", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, -2, 9, -5, -12, 9],\n [-1, -11, 5, -6, 4, 9],\n [10, 1, 11, -6, 9, 12],\n [-10, -7, 7, -11, 4, -1],\n [-1, 4, -3, -10, 7, 5],\n [0, -1, 4, -9, 10, -3]]\nB =\n[[-2, -7, -7, -4, 2, -11, -9],\n [-8, 4, -5, -5, 9, -1, 8],\n [-5, 6, -10, 5, 8, 6, 6],\n [2, -7, 3, -5, 3, 5, 7],\n [3, -2, -6, 4, 4, -1, 0],\n [-3, -6, 1, 10, -12, 4, -9]]\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[[8, -8, 7, 11, 10, 12],\n [-6, -3, 4, -6, -12, -6],\n [11, -2, -4, -1, -10, -9],\n [-9, 12, 0, 10, 6, -3],\n [-8, -6, 11, 3, -12, -1],\n [-11, -6, -2, 0, -11, -6],\n [2, 12, -2, -11, -6, -9]]\nB =\n[[-2, -11, 3, -6, 0, -8, 4],\n [8, -1, 6, -6, -7, -5, 0],\n [-8, -11, -4, -2, 11, -7, -6],\n [12, -6, 6, -7, -2, -2, -6],\n [-11, 6, -9, -7, 4, 12, -8],\n [-6, -4, 12, -12, -12, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "818", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -3, -2, -12, -12, 0, -8],\n [7, -12, 7, -10, 5, -4, 1],\n [4, 10, 1, -9, -8, 8, 4],\n [9, 12, -11, 10, 9, -8, -9],\n [-9, -7, 7, 8, 0, 9, -8],\n [10, 12, 10, -6, 7, -12, 1],\n [11, -9, 4, 8, 1, 3, 1]]\nB =\n[[3, 11, 7, -5, 11, -10, 12],\n [6, -12, -11, 2, 9, -3, 5],\n [9, 1, 4, 0, -12, -8, 0],\n [12, 1, 11, -10, 2, 6, 4],\n [-10, 3, 1, -1, -1, -2, 4],\n [-5, 4, 8, 12, 10, 7, -2],\n [12, 12, -11, -3, -3, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5951", "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, -2, 10, 10],\n [12, 0, -8, -7, -12, -7],\n [5, 9, -4, 11, 12, 2],\n [-5, 6, 11, 3, -7, -7],\n [9, -10, -3, -12, 1, -9],\n [-1, -7, -2, -1, -3, 5]]\nB =\n[[-6, -6, -2, -9, 7, -12, 0],\n [5, -4, 11, 11, -4, 10, -4],\n [-3, -11, -7, 2, -10, -2, -7],\n [-10, 11, -2, 2, 0, 7, -3],\n [-7, 2, 12, 5, 5, -6, 2],\n [5, 5, 7, -4, 11, -11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4724", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -11, -2, -6, -7, -3, -8],\n [-2, -12, -11, 11, -12, 6, -11],\n [8, 7, 10, 8, 11, -9, -1],\n [9, 7, 5, -12, -12, 11, 1],\n [-9, -8, -2, 11, 10, 0, 3],\n [11, 0, 11, 9, -11, 3, -7]]\nB =\n[[1, -12, 4, -2, 6, -10, -2],\n [-8, 4, 9, -6, -3, -2, -10],\n [7, -3, -3, 1, -1, 2, -3],\n [-3, 6, -12, 11, -3, -11, 4],\n [11, -6, -6, 7, -4, 9, -11],\n [1, 4, -12, -4, 7, 8, 6],\n [-9, -5, 0, -9, -4, -4, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "330", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -1, -3, -2, -6, -4],\n [-7, 6, 3, 2, -6, 3],\n [-8, 3, -12, 6, -8, -6],\n [6, 9, -8, 4, 9, -5],\n [-12, -11, 2, 7, 5, -2],\n [12, -3, 11, 11, -9, -8]]\nB =\n[[-9, 0, 12, 0, 5, 11, -11],\n [3, -12, 6, -4, -10, 12, -6],\n [-3, -12, -3, 8, -4, 2, 2],\n [-10, 12, -8, -4, 9, -4, 10],\n [-6, 11, 10, -1, 12, -4, -7],\n [10, -11, -4, 4, -12, 6, -7]]\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, -11, -4, 1, -9, -9, 8],\n [2, -5, -9, 3, 8, -9, 3],\n [9, -1, 3, 6, -5, -7, -3],\n [-8, 5, -3, -3, -6, 5, -12],\n [-6, 8, -12, 2, -9, 7, -3],\n [10, -4, -11, 1, 3, -12, -11]]\nB =\n[[-6, -3, 9, 7, -12, 0],\n [-12, -8, 3, 2, 4, 10],\n [3, 0, -2, 4, 4, -11],\n [0, 1, -2, -3, -10, 4],\n [2, -4, -3, -5, 8, 0],\n [5, -8, -7, 4, -2, 7],\n [3, -4, -11, -8, -12, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3628", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[-9, 9, 12, -10, -4, 9, 10],\n [-1, -3, -11, -2, -3, 9, -7],\n [5, -11, -11, -3, 3, -1, -12],\n [8, -5, 3, 5, 0, 2, 8],\n [-1, -5, -3, 1, -8, 5, 6],\n [2, -7, -2, 8, -2, 7, 7],\n [8, 5, 12, 5, -3, -11, -4]]\nB =\n[[1, 6, -3, 10, -9, -7, 1],\n [-9, 2, 3, -6, 4, 6, 6],\n [4, -7, -2, 3, 12, -5, -2],\n [-6, 11, 9, 12, 6, -3, -4],\n [-9, 10, 2, 0, 12, -11, -11],\n [3, -4, 0, -10, -4, 0, 8],\n [9, -11, -5, -4, 3, -11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 1) of the product of the following matrices:\nA =\n[[9, -5, -8, -4, -12, -4],\n [-3, 10, -9, -10, -3, 2],\n [-2, 1, -7, -1, 0, 4],\n [3, -10, -11, -2, -4, -10],\n [5, 7, 2, 1, -11, 4],\n [9, -5, -3, 5, 12, 6]]\nB =\n[[-5, -5, -10, -10, -1, 9],\n [4, -9, 4, 1, 6, -4],\n [8, -1, -8, -2, 7, -10],\n [8, 2, 1, -2, 7, -5],\n [-9, -1, -5, -7, 2, -1],\n [3, 3, 8, 7, 7, -9]]\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 trace (sum of diagonal elements) of the result:\nA =\n[[-2, 0, -4, -9, -1, -4],\n [0, 3, -7, -3, 0, -6],\n [6, 11, 6, 4, 0, 0],\n [8, -11, -3, 9, 0, -4],\n [-12, 1, 3, 7, 2, -12],\n [4, 11, 0, 2, 3, 3]]\nB =\n[[-11, 4, -2, -5, 7, -10],\n [-1, 7, 3, 1, 3, 8],\n [4, -2, 4, 6, 9, -12],\n [-1, 2, 5, 10, 1, -12],\n [0, 2, -6, 2, 7, -3],\n [1, -7, 1, 11, 12, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-1, -2, 12, 7, 9, 11, 12],\n [6, -11, 9, 7, -12, -5, 12],\n [1, -4, -11, 12, 10, -8, 10],\n [12, -5, 3, 9, 3, 0, 7],\n [2, -12, 9, -10, -7, 9, 1],\n [-9, 5, 2, -4, 5, -10, -3],\n [4, -6, 2, -12, 12, -2, 4]]\nB =\n[[-8, -6, 6, 12, 11, 2, -10],\n [2, -8, 10, -1, 7, -8, -10],\n [-4, -4, -6, -11, 10, 10, 8],\n [3, -4, 0, 6, 7, 4, -7],\n [-9, -12, 5, 6, -4, 0, -5],\n [10, 0, 2, -2, -1, 1, -9],\n [-12, 11, -9, 6, -4, -3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -4, 0, -1, -2, -1, 5],\n [-1, 3, -8, 7, 12, -1, 8],\n [12, -2, -4, 5, 12, -10, 7],\n [4, 1, -12, 4, 12, -5, -8],\n [-8, -4, -10, 6, 10, -4, 9],\n [5, 3, -12, -11, 1, 1, -12],\n [12, 3, 2, 2, -1, 3, 1]]\nB =\n[[11, 2, 10, 2, 6, -5],\n [-11, -11, -3, -10, 10, 4],\n [-5, 10, -9, 1, 8, -3],\n [-12, -9, -12, 4, 4, -6],\n [10, 7, 2, 0, -11, 6],\n [11, 0, 11, -2, 9, 2],\n [-3, -4, -4, 7, -12, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, -3, -8, 5, 2, -7, -6],\n [4, -7, -5, -1, 8, 1, -1],\n [10, -3, 9, 7, 2, -6, -4],\n [-3, -3, 3, -6, -8, 10, -10],\n [5, -2, 2, 8, 7, -8, 11],\n [-1, -9, 2, -4, -6, -3, 10]]\nB =\n[[0, -5, -1, 9, 11, 6],\n [-12, 3, 9, 4, 12, 5],\n [-2, 5, -6, 5, -5, -7],\n [-6, 10, 9, -3, -2, 12],\n [0, -4, -6, -4, 0, -10],\n [-10, -12, 8, 7, -11, 12],\n [-10, 2, 11, -7, 0, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, 7, 6, -12, 8, 9],\n [-11, 2, 1, 6, -2, 2],\n [-7, 7, -4, -8, 7, -11],\n [-7, 5, 10, 6, -4, 8],\n [11, -7, 1, 11, 0, -2],\n [-1, 6, 6, 8, 6, 11],\n [0, 1, 11, 5, -1, -9]]\nB =\n[[-3, 4, -9, -1, 0, -9],\n [-3, 12, -10, 2, -11, 12],\n [12, 4, -7, -5, -10, 12],\n [5, 9, -12, 3, -6, -10],\n [10, -9, -4, -8, 6, 2],\n [-5, -7, 5, 6, 11, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "592", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -3, -7, 1, 4, -4, 6],\n [-8, 10, -6, 6, 7, -6, 11],\n [-11, 12, 10, 3, 0, -5, -7],\n [-7, -4, -9, -2, -8, 12, 4],\n [7, -6, 2, 12, 2, 1, 0],\n [-2, 0, 9, 11, -4, -3, -9],\n [4, 1, 11, 5, -2, 3, -12]]\nB =\n[[-6, -3, -4, 12, -10, 9, 10],\n [1, 12, 2, -11, 11, 1, 3],\n [-6, -9, 5, 11, -8, -7, -6],\n [2, -12, 11, -9, 12, -12, -2],\n [5, 1, 9, -2, -3, 4, -9],\n [11, 2, 3, 8, 0, -4, -2],\n [-2, -7, -12, 9, -7, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-525", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[11, 9, -8, 2, 5, 7, 1],\n [2, -8, -9, -11, -6, -3, 3],\n [-3, 5, 4, 8, 0, -12, -12],\n [2, -12, -7, 12, 0, -12, -8],\n [-4, 12, 4, 3, -5, 4, 2],\n [11, -12, -1, -8, 11, -7, 12],\n [-12, 12, -12, -3, -3, -10, 4]]\nB =\n[[6, -2, 5, -11, -4, 11, 4],\n [1, -9, 4, 4, -1, 7, 5],\n [-10, -2, 12, 5, -9, 4, 5],\n [-8, 1, -3, 2, -12, 3, -2],\n [10, 7, -7, 11, 9, 3, -11],\n [-12, 11, 11, -4, 9, -1, 4],\n [12, 2, 6, 9, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5539", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[-4, 0, -10, 8, 1, 8],\n [-3, 3, -6, -9, 7, 10],\n [12, -2, 3, 7, -9, 9],\n [9, 10, 4, 0, -2, -10],\n [-4, -7, 9, 8, -2, 3],\n [6, -8, 1, 4, -10, -9]]\nB =\n[[3, 3, 8, 12, -9, 6, 4],\n [0, 9, 10, 11, -12, -1, -9],\n [-2, -8, -11, 4, -5, -7, 8],\n [-4, 0, -2, 3, 3, -11, -3],\n [-1, -5, -2, -3, 0, 12, 4],\n [-6, 11, -10, 7, 0, 6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-243", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-4, 6, 0, 9, -5, 9],\n [5, 10, -11, 5, 5, -2],\n [-12, 1, 3, -2, -12, -6],\n [3, 1, 2, 1, 8, -2],\n [3, 6, 4, -7, -2, 4],\n [-4, 5, 4, -1, 10, 9]]\nB =\n[[9, -8, -2, -9, -9, -10],\n [11, 10, 12, 4, -6, -9],\n [10, 0, -1, -12, 8, 6],\n [8, 7, 5, -2, 7, -10],\n [4, -1, -3, -5, 2, -8],\n [-9, 8, 7, 6, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, 4, -1, -10, -3, 2, -3],\n [11, 10, 5, -12, -10, 8, -1],\n [-12, -10, -10, -8, 6, 12, -12],\n [-9, -9, 4, 1, 5, -12, 9],\n [3, -10, 10, 8, -4, 10, -9],\n [8, -8, -2, 8, -4, -10, -7],\n [11, -2, -4, 2, 10, -10, -12]]\nB =\n[[7, 9, 6, 1, 4, 9, 1],\n [4, 12, 1, -1, 3, -12, 0],\n [-7, 4, -1, 10, 6, -7, -6],\n [-12, -12, -8, -7, 3, 12, 3],\n [1, -12, 0, 7, -3, 11, -3],\n [-4, 0, -10, 5, 7, -11, 4],\n [6, 10, 0, 0, -12, -11, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1293", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[11, -8, 11, -10, -6, 11],\n [9, 0, 10, 5, 11, 8],\n [-6, -12, -8, 4, -5, 2],\n [7, -9, -11, -8, -12, 12],\n [-8, -7, -11, -12, -9, -6],\n [9, -12, -12, -5, 7, 3],\n [8, 0, 10, 11, 10, 5]]\nB =\n[[7, -3, -1, -12, -3, -4, -10],\n [6, -4, -3, 6, 3, 11, 5],\n [1, -10, -11, -12, 5, 11, -4],\n [0, -11, -6, 3, 8, 6, 12],\n [2, 9, -2, -12, 8, -6, 7],\n [-5, -3, -8, -4, 12, 12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "117", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, 6, 1, 7, -3, -4],\n [-3, -7, 4, 12, -7, -9],\n [7, -10, 10, 6, 5, 11],\n [-9, -5, 4, -8, 0, 12],\n [-12, 0, -9, 9, 11, 1],\n [-10, -8, -6, -12, 10, -1]]\nB =\n[[-2, 11, -5, 12, -7, 9, -11],\n [6, 7, 7, 11, 1, -12, -3],\n [3, -9, -2, 3, 7, -12, 3],\n [6, 8, 9, -4, -4, -4, 4],\n [-1, 12, 0, -5, 3, 5, -12],\n [-12, -1, -7, -4, 10, -8, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4896", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 4, 5, -12, 6, 9, -5],\n [-10, 12, -8, 10, -5, 6, 5],\n [5, 8, -12, 2, 5, 12, -6],\n [3, 3, 2, -7, -4, -6, 1],\n [-2, 8, 3, 12, -7, 9, 3],\n [7, 3, -1, 4, -8, 12, 0],\n [-5, 11, -8, -1, -4, -10, -10]]\nB =\n[[-12, 12, 9, 5, 11, -1],\n [-4, -4, 5, 5, -6, -9],\n [0, 4, 11, -11, 1, -10],\n [-8, 1, -10, 10, -6, 5],\n [0, 10, 9, -3, 12, 0],\n [3, -4, -11, 10, -8, 9],\n [4, 10, 9, -9, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5450", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -11, 11, 5, 8, 9, -2],\n [0, -5, -12, 4, -1, -9, 8],\n [0, -4, -6, 10, 11, -8, -8],\n [4, -4, -7, 12, 6, 3, 8],\n [-11, -3, 3, -8, 2, 0, 0],\n [0, 2, 1, -5, -2, 5, 11],\n [-9, -3, -12, -8, 0, -12, 10]]\nB =\n[[-5, -10, -10, -6, -9, -10, 2],\n [-5, -10, -6, 5, -2, -2, 4],\n [-7, -5, -12, -3, 12, 6, -10],\n [-9, -2, 2, -12, -4, -2, 6],\n [0, 3, -9, -12, 7, 0, -12],\n [-8, -8, 1, 10, 1, -5, -9],\n [-6, 7, 6, 2, 9, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1157", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 8, 0, 1, 10, 1, 9],\n [-3, 3, -8, 10, -7, -11, 0],\n [0, 6, 5, 6, -12, -5, 9],\n [3, -11, -5, -7, 3, 10, -2],\n [4, 10, 6, -2, -5, 9, -9],\n [-2, -5, -4, -11, 3, -7, 8]]\nB =\n[[8, 6, -5, 1, 11, 3, -1],\n [-8, 11, 11, 6, 5, -4, -11],\n [12, 7, -1, -11, -3, -12, -9],\n [12, -1, -4, -9, -4, -7, -12],\n [-3, 1, 9, 12, 5, -7, 5],\n [7, 3, 2, 3, -5, 0, 10],\n [-2, 12, -6, 4, 5, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "485", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, 12, 0, 2, 10, 9, 9],\n [-12, 3, -8, -10, 10, -3, 6],\n [-8, -6, 1, -10, 0, 0, -3],\n [-11, -7, -5, -9, 12, -1, 2],\n [-5, -6, 1, 10, 6, 1, 9],\n [0, 8, -12, 6, -12, -9, -3],\n [-10, 7, -4, -10, -7, -7, 10]]\nB =\n[[12, -1, 10, -12, 3, 11, -8],\n [-4, -3, 0, 2, -1, -8, -8],\n [5, -1, -10, 12, -6, 4, 6],\n [5, -12, 12, 11, -8, -11, -12],\n [-6, -2, -2, 5, 4, -11, -6],\n [-6, -3, 9, 8, -10, -1, -10],\n [-2, -1, 12, -9, 12, 3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-349", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -9, 9, -7, 8, 2],\n [-12, -10, -8, 9, 4, 1],\n [-4, -10, 0, -10, -2, -11],\n [11, 2, 0, 6, 9, 3],\n [5, -6, 0, -9, -4, -3],\n [-4, -6, 2, -5, 6, -2],\n [-8, -11, -3, 3, 10, 0]]\nB =\n[[-5, -4, -2, -2, 10, 3, -3],\n [11, -1, 12, -7, -1, -3, 5],\n [5, -9, -4, -6, 5, -5, -2],\n [-6, -4, -5, -10, 4, -11, 2],\n [1, 5, 3, 7, 9, -9, 12],\n [7, -7, -7, -2, 4, 11, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3715", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[0, 9, -10, 3, 2, -2],\n [5, 2, -8, 3, 3, 4],\n [-4, 10, -10, 7, 0, 9],\n [-10, -6, -7, -4, -1, 2],\n [8, 7, -10, -3, -12, 6],\n [6, 10, 10, 0, -1, -12]]\nB =\n[[6, 11, 3, 12, 10, 10],\n [2, 3, -2, 11, -7, -2],\n [-10, 2, -12, -6, -12, 4],\n [-4, 10, 0, -2, 7, -7],\n [-12, -6, -1, 9, 7, 10],\n [6, 4, -9, -10, -12, 5]]\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[[8, 2, -5, -12, 7, 1, -9],\n [-8, 10, 0, 11, 2, -7, -12],\n [10, 6, 0, -7, 2, 3, 11],\n [10, 3, -3, 9, -4, -4, 4],\n [4, 4, 11, -1, 0, -1, 1],\n [-3, 10, 6, -11, -9, 6, -6]]\nB =\n[[2, 2, 11, -7, -10, -7],\n [3, -11, -6, -2, -6, -9],\n [11, 7, -6, -9, -1, -8],\n [10, 6, -8, 6, 8, -10],\n [-2, -6, 4, 12, -4, 8],\n [-4, -3, 0, 2, 9, -8],\n [-10, -5, 7, -3, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-79", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -5, -4, 9, 8, -1],\n [-2, -11, 5, -4, -11, -11],\n [-10, 3, 6, -9, 10, 12],\n [5, 7, 12, 5, -3, -2],\n [4, 11, 12, 10, 11, 7],\n [3, 7, 0, -11, 11, -11],\n [12, 1, -9, 4, 0, -9]]\nB =\n[[-10, -1, 9, 10, -5, -11],\n [-7, 9, -3, -1, 8, -3],\n [-3, 10, -10, 7, -3, -4],\n [7, 6, 1, -11, -8, 7],\n [-5, -6, -7, -2, -1, 5],\n [6, -3, 12, 12, 8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3785", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 5, 11, 2, -7, -3, -1],\n [-6, 4, -12, 5, 2, 6, -12],\n [-8, 2, -10, -12, -5, -1, 9],\n [12, 6, 12, 12, -1, 0, -12],\n [6, -7, -5, -9, -8, 12, 9],\n [-6, 10, -9, 7, -9, 2, 8],\n [-8, 11, -4, -11, -6, 4, 3]]\nB =\n[[4, 7, 10, -11, -2, -11, -12],\n [-11, 10, -4, 9, -11, 2, -3],\n [2, -3, 12, 10, 4, -4, 5],\n [-9, -4, 3, -9, 3, 6, -12],\n [10, -7, -3, 3, -9, 9, 9],\n [0, 3, 7, -7, -2, 11, -10],\n [7, -3, -12, 7, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6138", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[12, -5, -2, -9, -6, -3],\n [6, 12, -9, -11, 8, 5],\n [1, 3, 9, -2, -3, 4],\n [1, 9, -9, 6, -11, -6],\n [-4, 6, 3, 9, 12, 3],\n [5, 10, 8, 8, -2, -6],\n [-4, -9, 12, 0, 12, -9]]\nB =\n[[6, -11, -4, -1, -11, -7, -8],\n [-8, 7, 9, -8, -9, -4, 9],\n [-3, 3, -3, -3, 6, -3, -7],\n [4, -8, -7, 11, 2, 12, 6],\n [5, -9, -5, 3, 11, 6, 7],\n [-10, -3, -11, -9, -7, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "172", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 3) of the result:\nA =\n[[3, 8, 6, -11, 12, 4, -4],\n [4, 2, -6, 9, 10, 6, -10],\n [-12, -9, 5, -5, 6, 10, 10],\n [12, -7, -12, -5, -12, 6, -2],\n [8, 11, 12, 2, 10, 12, -2],\n [6, 8, -3, 11, -1, -12, 11]]\nB =\n[[-6, 4, -3, -7, 4, 5, -8],\n [5, 4, 9, 3, -5, 11, 0],\n [11, 3, -2, -7, -10, -12, 5],\n [-8, 0, -3, -8, 1, 4, -12],\n [12, -11, -6, -3, 7, -6, 11],\n [3, -8, -1, 4, 3, 7, 3],\n [6, 2, -1, 8, -3, 9, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, 0, -10, 2, -12, -10, 12],\n [-3, 2, 9, -7, 7, 2, 11],\n [8, -6, 12, 8, -8, -9, 9],\n [5, -10, 4, 5, 5, 11, 11],\n [-11, 0, 9, 2, -8, -10, -8],\n [-8, -8, -10, -10, 7, 10, 5],\n [7, -9, -12, 3, -5, 4, -5]]\nB =\n[[-6, 12, -5, 8, 11, -1, 3],\n [-1, 6, -3, -6, -1, 7, -8],\n [3, -4, -6, 7, 9, 1, -2],\n [-6, -3, -4, -9, 3, -3, 6],\n [11, 4, -4, 0, -12, -11, 0],\n [11, -4, -6, 3, 6, -6, -7],\n [5, 6, -2, -1, -3, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, -3, 7, 5, -9, 11, -8],\n [-8, -1, -10, -5, 9, -11, 5],\n [-4, 0, -6, -3, -4, 9, 2],\n [-8, -1, -12, -1, 9, -7, 6],\n [6, 3, 6, -10, 10, -3, 5],\n [0, 5, -10, 10, -10, 10, 12],\n [-1, 7, -6, 12, 11, -5, -4]]\nB =\n[[1, -8, 8, 6, 8, 3, 11],\n [-1, 8, -9, -5, -6, 2, -7],\n [-8, 1, 8, 0, -3, 5, -9],\n [-5, 11, -2, 4, 5, 8, 12],\n [-2, 3, -1, 0, 3, 10, 8],\n [-12, 3, 2, -7, -1, -5, -6],\n [-11, -1, 8, 1, 3, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3853", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-4, -3, 4, -1, -7, 6],\n [-2, -4, 8, -7, 12, 12],\n [11, 12, 3, 7, 3, -7],\n [-8, 8, -9, -11, -7, -4],\n [4, 1, -6, 9, 6, -12],\n [7, 12, 2, 5, -10, 5],\n [-11, -3, -2, 11, -10, -6]]\nB =\n[[-5, 6, 5, 0, 0, 11],\n [6, 10, -1, 4, 9, -1],\n [0, 12, -1, 6, 1, -6],\n [0, -7, 11, 6, 6, -9],\n [6, -4, 3, -9, -7, -5],\n [11, 3, -8, 8, 9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3947", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 0, 1, -6, 7, -7],\n [-6, -8, 8, 5, 10, -1],\n [-7, -12, -9, 6, -1, 2],\n [-10, 10, 7, -5, -2, 3],\n [-4, -10, -8, 7, 1, 2],\n [-7, -9, -5, 6, -8, 0],\n [3, -12, 0, 9, -2, 8]]\nB =\n[[-5, 12, -5, 11, 1, 0, -10],\n [-9, 7, 2, 2, 8, 0, -4],\n [12, -3, -1, 1, -12, 1, 1],\n [-5, 3, 1, -12, 3, 5, -6],\n [2, 11, 4, 6, 10, 0, -4],\n [11, 11, 2, 12, -10, 11, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3412", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -5, 10, 0, -5, 4],\n [9, 10, 1, 8, 8, -6],\n [2, 3, 6, -7, 10, -12],\n [-1, 5, 3, -1, 7, 0],\n [-5, 9, -12, 8, -6, 2],\n [9, 0, 0, -4, 11, 2],\n [-9, 0, -1, -8, -6, -5]]\nB =\n[[-8, -4, 1, -1, -9, 7, -5],\n [4, -5, 8, -12, 7, -11, -9],\n [11, 8, -12, -6, -12, -4, -10],\n [-1, 6, 2, 9, 3, -3, 9],\n [-7, 4, 8, 9, 11, 4, 8],\n [6, 5, -2, 11, -6, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-195", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -1, 3, 12, 8, 5],\n [-10, 7, 2, -8, 0, 6],\n [-1, 10, 8, -8, -7, -6],\n [-3, 3, -5, -4, -9, 8],\n [8, -5, 12, -6, 2, 8],\n [-10, 4, -2, -4, -8, 12],\n [-3, 2, 1, -9, 8, 7]]\nB =\n[[-11, -1, -12, 11, 7, -8, -7],\n [11, -2, -5, -6, -9, -7, 3],\n [7, 2, 1, 10, -1, -1, 3],\n [2, 0, -2, 4, 8, 2, 1],\n [-3, -1, 3, 2, -3, -9, 10],\n [-4, 8, 7, -4, 8, 12, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1787", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -2, -2, -6, 8, -3],\n [-9, -8, -8, -2, -4, 3],\n [-4, 9, -9, -11, 1, -10],\n [5, 8, -7, -2, 8, 5],\n [-1, -8, -4, 7, 5, 6],\n [-10, -4, -9, 4, 4, 10]]\nB =\n[[10, -11, -4, -4, -8, 2, 2],\n [-10, 6, -10, -7, -9, 11, 0],\n [0, -2, -8, -12, -4, 4, 9],\n [-12, -10, 2, 8, 10, -3, -5],\n [-1, 12, 9, 2, -4, 11, 12],\n [-3, 7, -4, 2, 10, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2068", "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, -11, 6, 1, -5, -7, -1],\n [2, 1, 8, -12, -2, 12, -10],\n [6, 5, 7, -11, 12, -6, -5],\n [6, 9, 2, -3, 9, -12, -7],\n [0, 1, -10, -2, -10, 6, -3],\n [2, -2, 2, 11, 0, -8, -9],\n [0, -4, 12, 4, -11, 11, -8]]\nB =\n[[3, -6, -12, -1, 8, -2, -1],\n [6, -1, -1, 1, -11, -11, 12],\n [-9, 7, 10, 3, -3, 0, -11],\n [-10, 6, -7, 6, 8, 7, 6],\n [-5, 1, -3, -10, -7, 2, 10],\n [10, 5, 1, 6, -3, 2, -9],\n [10, -11, -10, -6, 10, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6295", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 4, 6, -8, 10, 7, 0],\n [0, -2, -2, 3, 2, 4, 9],\n [5, 6, -9, 9, 9, 10, -8],\n [-6, -11, -12, -1, -3, -5, -12],\n [-1, -11, -3, 9, 4, -10, -6],\n [-1, -5, 7, -1, -10, 4, -4],\n [-3, 9, -7, 12, -12, 9, -1]]\nB =\n[[-8, 0, 2, 9, -2, -5, -8],\n [-11, -1, -11, 3, 8, -10, -3],\n [6, -5, -6, -12, -1, -8, 3],\n [12, -9, 4, 11, 8, -11, -1],\n [-12, -1, -1, -1, 6, 12, 4],\n [7, 11, 11, -2, 0, -5, -3],\n [-5, 7, -5, -4, -6, 1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5277", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, -2, -5, 0, 8, 2],\n [-10, 10, 1, 2, -11, 6],\n [-1, 12, 7, -9, -10, -8],\n [-10, 12, 2, 6, -11, -1],\n [-8, 9, 4, 1, 9, -3],\n [-10, -9, -7, 11, 12, 9]]\nB =\n[[3, -6, 2, 8, 12, 7, -2],\n [9, 8, -12, -8, 0, 8, 1],\n [-4, 4, 2, 8, -6, 9, 9],\n [-1, 10, -7, 8, 3, -8, -4],\n [1, -5, 1, -1, -3, 7, 7],\n [8, 0, 6, 2, -5, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-277", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, -10, 8, -10, -8, 3],\n [4, -7, 7, 7, 3, 11],\n [-11, 7, 2, 5, -12, 6],\n [-1, -5, -7, -1, -6, 5],\n [9, 1, -5, 11, 7, 9],\n [1, -8, -4, -5, -11, 3],\n [0, -6, 3, -6, 1, 1]]\nB =\n[[-1, -12, -12, -1, 7, 8],\n [2, -9, -6, 3, -10, -6],\n [11, 9, -7, 3, 11, -5],\n [10, 9, -7, -3, 3, -2],\n [0, -7, 11, -12, 8, 6],\n [-1, 11, -7, 5, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3871", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 1) when matrix A is multiplied by matrix B?\nA =\n[[10, 0, 8, -5, 8, 4],\n [-4, 7, 0, -11, -9, 12],\n [-11, -9, 5, -8, 6, -3],\n [5, 12, 8, -3, -8, 4],\n [9, 0, 10, 4, -4, 11],\n [-1, 1, 1, -5, 10, -8],\n [6, 1, -4, -6, -5, 1]]\nB =\n[[9, 1, -2, 1, 8, -5],\n [-10, 10, 5, -10, 0, -1],\n [2, 5, -8, -6, -2, -2],\n [2, -3, 2, 0, 1, 4],\n [0, -3, 12, -12, -12, 2],\n [3, -1, 11, -7, -7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[12, 2, -9, 11, -9, -11, 11],\n [-1, -6, 7, -4, -4, -5, 1],\n [-12, 10, 8, 10, -1, 12, -11],\n [0, -9, 7, 5, 6, 3, 1],\n [-5, -1, -4, -7, 5, -11, 10],\n [-5, 11, 1, -7, -3, -5, 4],\n [12, -1, 4, 0, 6, -1, 3]]\nB =\n[[12, -8, 12, 3, 12, -7, -2],\n [4, 10, 1, -7, 12, 10, -2],\n [-1, 0, -9, -6, -11, -7, -7],\n [5, 7, -5, -5, -5, -5, -12],\n [-11, -1, 2, -9, 12, -10, 1],\n [9, 10, -5, 0, 10, 6, 9],\n [-8, 0, 7, -12, 3, 10, 11]]\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[[-11, -6, -7, -8, -9, -11],\n [-3, 9, -8, 5, -3, 10],\n [9, 2, -4, -2, 8, 12],\n [12, 4, 8, -4, 10, 3],\n [-7, 9, -2, 10, 4, -9],\n [2, -12, 9, 7, -12, -4],\n [-1, -9, 9, 0, -6, -5]]\nB =\n[[0, -2, -4, 12, 11, 3],\n [-3, -2, -1, 1, 6, -1],\n [5, 8, 4, -10, -12, 6],\n [-9, 10, 3, -1, 8, 8],\n [0, 4, -5, 0, 7, -8],\n [5, 2, -1, 4, 12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-11, -7, 4, 3, 4, 12],\n [7, -4, -8, 10, -12, -7],\n [11, 1, 4, 12, 6, -12],\n [-12, 0, 1, -7, -7, -12],\n [1, -10, 10, -3, 6, 6],\n [6, 10, -9, 7, 6, -3],\n [12, -11, -9, 11, -7, -6]]\nB =\n[[3, -6, 5, 7, 9, 6, -4],\n [7, -3, 0, 5, 3, 9, 4],\n [9, 0, -1, -3, -12, -5, 8],\n [9, 5, -11, 3, -1, -4, -10],\n [9, 8, -9, -11, -5, -3, 3],\n [10, -2, 5, 9, 1, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-636", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 1) of the product matrix AB given:\nA =\n[[2, 4, 8, 5, -7, 10, 1],\n [10, -10, -6, 2, 8, 11, 3],\n [3, -5, -6, -7, -11, 9, 0],\n [-1, 2, -4, -11, 4, -8, -2],\n [9, 6, 11, -6, -11, 3, -1],\n [10, 2, -12, 12, 0, 10, -7],\n [0, 5, -10, -12, 2, 0, -8]]\nB =\n[[12, 0, 9, -8, 6, 8, 11],\n [5, 8, 9, -3, 11, -5, 2],\n [8, 12, 7, 12, 10, 9, -9],\n [-11, 11, -7, -10, -6, -3, 10],\n [-7, 3, -11, 11, 4, 0, -12],\n [-7, -8, 12, 0, 10, 5, -1],\n [-6, 2, -10, 3, -12, 3, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-126", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, 6, -5, 10, -1, 2],\n [-11, 4, -6, 0, -12, -7],\n [0, -2, -3, 3, 11, 10],\n [7, 4, 4, -9, -8, 10],\n [1, 7, -3, 1, -12, -2],\n [10, 5, 3, 5, -5, -3],\n [-3, -8, -3, 5, 8, 11]]\nB =\n[[-7, -10, -5, -4, -8, -11],\n [-11, -6, 4, -3, -1, -11],\n [-3, 7, -12, -9, 0, -1],\n [-2, -3, 2, -8, 12, 4],\n [-8, -11, -4, -7, 5, 1],\n [6, 1, -5, 4, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3457", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -2, -5, -12, 0, 8, -9],\n [-6, 1, -8, 11, -2, 4, -8],\n [7, -10, -8, 2, 6, 3, -5],\n [0, 3, -10, -12, -4, -4, 9],\n [4, 11, -11, -4, 11, 6, 0],\n [-8, -4, 0, -12, 12, 2, -9],\n [-9, 7, -3, 12, -7, 11, -1]]\nB =\n[[7, 3, -10, 1, -12, -3, 2],\n [-6, -9, 1, 11, 3, 1, -10],\n [4, 8, 1, 5, -10, 9, 6],\n [-10, -1, 9, -8, -3, -4, -12],\n [0, -10, 6, -2, 3, -7, 11],\n [-10, 6, -7, -5, 9, 0, -1],\n [-3, -10, -9, -12, 0, 11, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5988", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[9, -2, 6, -2, -1, -2, -7],\n [-1, -4, 12, -3, -10, -10, 7],\n [10, 3, -10, -3, 11, -2, -5],\n [-7, 7, -2, 8, -1, 3, 5],\n [0, 9, -10, 2, 9, 8, 1],\n [5, 1, -8, 8, 1, 12, -5]]\nB =\n[[10, 2, 2, 6, 7, -7, 6],\n [12, -5, -7, 7, 10, 2, -10],\n [-3, 2, 11, 3, 4, 6, -2],\n [3, -8, -8, 1, 5, -5, -8],\n [-6, 3, 10, 1, -8, 11, -4],\n [-9, -9, 3, 11, 4, 2, -9],\n [-7, 3, -9, -7, -8, 3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 7) of the product matrix AB given:\nA =\n[[3, -3, -4, -9, 1, -9, -1],\n [11, -3, -9, 5, 0, 0, 1],\n [5, -12, 8, 3, 2, 9, 12],\n [-8, -7, -7, -10, 3, -1, -9],\n [-12, -9, -12, 8, -5, 11, -8],\n [-11, -1, 9, 4, -6, -2, -9],\n [-8, -7, -2, -12, 12, -3, 7]]\nB =\n[[11, 8, -2, 11, 4, -5, 0],\n [7, 5, 9, 3, -11, -8, 5],\n [-10, 9, 4, 3, -7, 6, -6],\n [5, 1, -7, -5, 2, 2, 2],\n [3, -12, -2, 12, -8, -8, 8],\n [-7, -11, -7, 1, -2, -9, 11],\n [12, -4, 11, -10, 3, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-91", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 12, 8, 9, 3, 6],\n [3, -2, -5, 10, -12, 8],\n [-4, -1, 9, -5, 4, -3],\n [-6, 6, 12, -7, 8, 11],\n [11, 6, 5, 2, -11, 1],\n [8, -3, 3, -6, -5, -3],\n [2, -5, 0, -1, -5, 2]]\nB =\n[[-1, -2, 6, 1, 5, 0],\n [-9, 4, 6, -4, 10, -6],\n [-12, -6, -6, 7, -6, -5],\n [3, -10, 0, -3, 5, -6],\n [8, 8, -8, 10, 12, 11],\n [9, -6, 12, 9, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3795", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[11, 10, 3, 6, -3, -10, -10],\n [4, -3, 4, 9, 4, 8, -9],\n [8, 10, -7, -1, 12, 9, 12],\n [7, 4, 4, -3, -6, 3, 0],\n [-10, -11, 3, -7, -7, 0, -6],\n [-8, 11, -6, -11, 4, 0, 12]]\nB =\n[[8, 8, 3, 7, -11, -8],\n [5, -6, -2, 12, 12, -2],\n [9, 4, 3, 0, 9, -8],\n [7, 3, 9, 9, 3, 3],\n [1, -7, -11, 1, 3, 10],\n [7, 0, 2, -1, -4, 5],\n [8, 1, 7, 12, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "169", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-5, 9, 9, 3, 11, -3],\n [12, 8, 4, -12, 5, -3],\n [8, -9, -12, -9, -9, -9],\n [4, -4, 6, 0, -9, -8],\n [0, 10, 3, 9, -8, -5],\n [3, -12, 10, -7, -2, 3]]\nB =\n[[-8, 3, -6, 6, -12, -4],\n [5, 0, 2, -10, 11, -3],\n [-4, 0, 3, -10, 9, 10],\n [2, 4, 1, -6, 7, 3],\n [8, -5, -9, 7, 11, 2],\n [-8, 0, -7, -8, 4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 4) of the product of the following matrices:\nA =\n[[-7, -11, -2, -6, 9, 8],\n [-5, -8, 5, 9, 3, 1],\n [-1, 4, -8, 1, -7, 2],\n [-6, 1, 5, -12, -7, -10],\n [-8, -1, -2, 0, 3, 5],\n [4, 4, -2, 7, -3, 3]]\nB =\n[[-11, 4, 9, 7, -3, 0, -1],\n [2, -6, 9, 8, 0, -1, -1],\n [-11, -8, 12, 12, -11, 10, 7],\n [0, -10, -2, 3, -12, 6, -2],\n [-4, 1, -4, -6, 3, -10, 6],\n [-9, -6, 10, -1, 5, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "72", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 3) of the product matrix AB given:\nA =\n[[10, 9, -3, -1, -5, 6],\n [2, -12, -10, 5, 5, -11],\n [-8, -12, -3, 7, -3, -8],\n [5, 8, 2, 7, -5, 4],\n [-1, 8, -1, -12, -9, -5],\n [-12, 2, 5, -12, -2, 10]]\nB =\n[[-11, -12, -1, 3, 9, 9, -3],\n [5, 2, 4, -3, -10, 8, 3],\n [-7, -10, -4, -2, 8, 0, 5],\n [9, 11, 9, -9, 9, 11, -5],\n [0, -3, -11, -5, -7, 3, 5],\n [4, -7, 0, 10, 1, 8, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-20", "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, -2, 0, -1, -4, -9, -6],\n [11, 9, -11, -6, -4, -8, 2],\n [5, -9, 6, 7, -6, -5, 4],\n [0, 11, 8, 10, -2, -12, -11],\n [4, -8, -7, 12, 11, -6, 8],\n [2, 6, 3, 12, 0, -8, -10],\n [-10, 6, 1, 3, 9, 4, -9]]\nB =\n[[0, -5, 6, -8, -11, 2],\n [-11, -2, 0, 10, -3, -10],\n [-8, -10, -7, 0, -3, 6],\n [-5, 5, -10, 11, 11, 4],\n [-5, -3, -11, -1, 10, -7],\n [-11, 8, 10, 11, -10, 4],\n [-6, 8, -8, 10, -12, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4712", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 7) of the product matrix AB given:\nA =\n[[-1, 1, 3, -3, 2, 8],\n [11, 2, -3, 8, -6, -10],\n [-11, -7, 8, -4, -3, -9],\n [-10, -4, 11, 9, 4, 1],\n [-3, 0, -1, -12, 9, 6],\n [6, -7, 0, 6, 0, 9]]\nB =\n[[8, -9, 11, -11, 2, -1, -6],\n [7, 5, 10, 0, 4, -9, 12],\n [1, 7, 0, -10, 5, 1, 2],\n [-10, -12, 11, 4, -10, 1, -10],\n [0, 2, 5, 1, 8, -10, 6],\n [-5, -9, -9, 6, -2, -12, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "26", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -12, -6, 8, 7, 7, 11],\n [-2, 1, 9, 3, 1, -1, 4],\n [1, -3, 11, 1, 5, 9, -4],\n [4, -7, -5, 0, 5, -8, -7],\n [8, 6, -9, -6, -9, 12, -2],\n [-1, 1, 0, -3, 5, 3, -8]]\nB =\n[[-5, 1, -8, 11, -5, 12],\n [-7, 3, -9, -1, -2, -10],\n [-1, -8, -7, 6, 5, 3],\n [10, -2, -8, -4, -10, -5],\n [-7, -9, -1, -1, 12, 8],\n [3, -3, 9, 1, 0, -4],\n [-6, -1, -8, 5, -9, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2679", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, -1, -10, -9, -7, -1, 6],\n [-3, -12, 4, 3, -4, 12, 8],\n [-4, 10, -4, -1, 10, -4, 2],\n [-11, -2, -2, -5, 10, -7, 8],\n [7, -6, -10, -5, 5, 4, -2],\n [-11, 12, 8, 11, 6, -6, 5],\n [-5, 1, -6, 8, -9, 4, -8]]\nB =\n[[-1, -4, 7, 0, 12, 5, 7],\n [-4, -9, 8, -5, -12, 4, 12],\n [-4, 7, 0, -11, 0, -4, 7],\n [-7, -12, 12, -8, -10, -9, -12],\n [1, -4, 11, -9, 5, 1, 12],\n [-9, 12, -3, -10, 10, -6, -3],\n [0, -9, 5, -2, 12, -9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-645", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, 5, -5, -3, -8, 10],\n [-6, -1, 12, -10, -9, -3],\n [-9, 2, -3, 8, 9, 3],\n [2, 6, 7, 6, 5, -1],\n [12, 3, -12, 3, -11, 11],\n [2, -6, -12, -8, -3, 9],\n [8, -9, 1, 0, -12, 3]]\nB =\n[[10, -4, 9, 3, 6, 2, 1],\n [7, -3, 8, -1, -12, 8, 4],\n [-4, 10, 6, 12, 5, -6, -4],\n [9, 8, -1, -6, 1, 2, 2],\n [-7, 8, 1, -11, -5, 0, 10],\n [-7, -8, -8, 12, -12, -4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-377", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -6, -4, -8, 1, -8, -5],\n [-6, 0, 0, -5, -2, 5, 12],\n [6, -7, 9, -11, 0, 10, 12],\n [-2, -12, 11, -11, 4, -5, -11],\n [-7, 9, -8, 3, -5, 6, 3],\n [0, 7, -6, 3, 10, 3, -1],\n [1, 11, 5, 5, 3, 7, 3]]\nB =\n[[0, -4, -4, 0, -9, -4, 2],\n [1, 6, -1, 8, 12, -7, -10],\n [12, 9, 7, 3, 7, 11, 10],\n [4, 3, -7, -5, 6, 12, -11],\n [1, 9, -1, 4, 2, 5, 3],\n [0, 8, 4, -5, -12, 12, -10],\n [3, -11, 2, -12, -4, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "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, -12, -12, -6, 5, 10],\n [10, 2, 12, 0, 3, -6],\n [3, 0, 1, 4, -1, 11],\n [11, 7, 0, 11, 7, 2],\n [11, 8, -9, 9, -11, 5],\n [-11, 12, 2, 6, 2, 7]]\nB =\n[[-3, 11, 7, -2, -3, 10, -8],\n [-4, 7, 6, 0, 5, 4, -7],\n [-3, -11, 11, -7, 8, 0, 5],\n [-6, -11, 1, -8, 5, -2, -3],\n [-2, -11, 2, -6, -4, -8, -6],\n [7, -11, -10, -11, 8, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4404", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -9, 11, 7, -6, 9],\n [-6, 4, 6, 9, 3, -10],\n [2, 1, 2, 1, -6, 12],\n [-10, 4, -3, 2, -7, 4],\n [4, 1, 11, 12, 5, 12],\n [-8, -5, -6, 10, -9, 5]]\nB =\n[[-8, 3, 1, 6, 1, -4],\n [-7, 4, 6, -1, -9, 3],\n [12, -2, 9, -9, 4, -5],\n [1, -11, -2, -2, 11, 9],\n [11, -7, 8, 8, 1, -3],\n [-5, -6, -5, -5, 10, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4115", "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, -4, 0, 10, -1, 9, 12],\n [4, -11, 0, -12, 6, -2, -8],\n [-12, 7, 0, -5, -7, 4, -1],\n [-12, -10, 1, -5, -2, 1, -5],\n [-10, -6, 6, -9, 12, 3, 0],\n [7, 6, -8, 10, -8, 7, 11],\n [-9, -11, 0, 3, 9, -11, 6]]\nB =\n[[4, -8, 12, 5, 10, 8],\n [5, -5, 2, 0, 0, 3],\n [9, 7, 0, 7, -11, -10],\n [2, 10, 6, 0, -8, 9],\n [-7, 1, -9, 9, 6, 10],\n [-6, -9, -11, -6, -10, 2],\n [-12, -11, -3, 3, 12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4589", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, 2, 1, 9, 1, -7, 1],\n [4, 5, 7, 6, 4, 3, -5],\n [-6, 7, -1, -4, 1, 7, -12],\n [-3, 4, 4, 4, -9, 4, 5],\n [7, 10, -11, -5, 0, 10, 12],\n [9, 7, 9, 2, 7, 10, -4],\n [-10, -10, -11, -12, 1, 4, 0]]\nB =\n[[6, 10, 2, 12, 1, -11, -6],\n [4, 5, -7, 8, -5, -11, -12],\n [3, -6, 9, 11, -2, 2, 0],\n [11, -11, 1, 11, -7, -4, -6],\n [5, 11, -4, 10, -9, -4, -9],\n [-1, -9, 12, 11, 7, 1, 11],\n [11, -6, 0, 9, -5, 10, -8]]\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[[-1, 0, 7, 1, 5, 11, 12],\n [7, -9, 8, 5, -6, 2, 8],\n [-7, 3, 7, 11, -5, 8, 3],\n [9, 3, -10, 4, -4, 12, -10],\n [7, -6, 5, -1, 6, 3, 9],\n [11, 4, 7, 2, -12, -11, -5]]\nB =\n[[9, 12, -11, 6, -4, -4, 0],\n [-7, 2, 6, 8, 2, 5, -6],\n [-2, -5, -7, -5, -11, 6, 3],\n [-6, -3, -1, 4, -6, 9, -5],\n [-6, -9, -10, 6, 2, -9, 12],\n [-4, 0, 5, 8, 3, -12, -9],\n [5, -5, 7, 3, 8, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 8, 8, 6, 10, 6, 5],\n [6, -2, -10, -5, 7, 6, -3],\n [3, -8, 7, -4, -5, -2, 3],\n [-6, 2, 11, 8, 7, 10, 4],\n [-7, 2, -5, -6, -11, 0, 10],\n [-7, -8, 7, -12, 5, 2, 10]]\nB =\n[[-3, -10, -8, 11, 0, -5, 9],\n [8, -11, -4, 4, 5, 0, -12],\n [-1, 7, 7, 8, -8, -5, 2],\n [-10, -7, 0, -1, 6, 5, 11],\n [-12, 12, -6, -1, -3, -1, -2],\n [-9, 6, -7, 12, -4, 7, -3],\n [-8, 0, -4, -11, 5, 8, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-557", "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, -1, -3, -11, -4],\n [-11, 10, 11, 9, 1, -2],\n [10, -2, 4, -9, 0, -6],\n [3, -12, 0, -12, -2, -7],\n [7, -10, -1, -8, -4, -1],\n [-3, 6, -8, -8, -4, 7],\n [4, -3, 8, -12, 9, 3]]\nB =\n[[2, 10, 4, 7, 12, 0],\n [-12, 12, -5, -8, -7, 10],\n [7, 1, 9, 10, -2, -7],\n [-2, 0, -1, 9, -11, 8],\n [-10, 10, -9, 4, 9, -7],\n [-6, 2, -2, 11, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4817", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-11, 1, -4, 5, 6, -1],\n [0, -1, -1, 5, -4, 4],\n [8, 3, 4, 8, 11, -5],\n [-2, 11, -11, -5, -1, 8],\n [-12, 10, 0, 9, 8, 4],\n [1, 1, 3, 4, -7, -6]]\nB =\n[[-12, 12, 2, 7, 8, 5],\n [0, 11, -11, 6, 2, -1],\n [2, 12, 5, 1, -7, -1],\n [7, 10, -7, -4, 12, -9],\n [4, -11, 3, 11, 1, -5],\n [1, -11, 3, -9, -12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, 1, -5, 12, 12, -10],\n [-8, -7, 9, -5, -7, -7],\n [-9, -6, 11, 6, -6, -10],\n [-5, -12, -12, 1, -7, -3],\n [12, 1, -9, -7, 3, 8],\n [-12, -7, -4, 2, -1, -10]]\nB =\n[[-2, 2, -10, 1, -11, -9],\n [6, -1, -11, 4, -10, -3],\n [3, 9, -4, -2, 8, 2],\n [-10, 3, 8, 8, 8, -1],\n [10, -8, -6, -4, 8, 5],\n [8, -5, -1, 7, -11, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "47", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -4, 12, 11, -5, 11],\n [11, 11, -12, -7, -1, 12],\n [11, 6, 4, -11, -2, 5],\n [10, 9, -2, 5, -5, 2],\n [-4, 2, -6, 7, 0, 0],\n [-12, 7, -9, 11, -9, -9]]\nB =\n[[0, -11, 10, 2, -9, -7, -10],\n [-6, -7, -10, -9, -3, 8, -4],\n [-7, 7, -2, -6, 5, -9, -8],\n [-9, -9, 0, 3, 12, 1, -2],\n [-11, 9, 1, 11, 11, -6, -2],\n [-9, -6, 3, -7, -7, -11, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2147", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -6, 12, 11, 1, -4],\n [2, 12, 9, 5, -1, 10],\n [6, 0, -6, 12, -3, -3],\n [-11, 1, 0, 9, -7, -4],\n [0, -4, 0, -8, 1, -8],\n [-4, -5, -6, -5, 9, -10],\n [10, 11, 2, -5, -12, -6]]\nB =\n[[6, -11, 1, 5, 2, 1],\n [11, 12, 6, 6, 9, 4],\n [9, 6, 3, 7, 12, 6],\n [-12, 6, -6, 10, -2, -8],\n [4, -2, 11, -5, -3, -1],\n [-3, 0, 5, -3, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "321", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[4, 7, 3, -8, -10, 2, -11],\n [0, 9, -5, 10, 4, -9, 6],\n [9, 12, -4, 10, 2, -4, 11],\n [8, -4, 1, 10, 8, 3, 11],\n [10, 12, 4, 0, -4, 2, -6],\n [-12, -12, -8, 11, -4, -1, -7]]\nB =\n[[0, -5, 2, -7, -7, -9],\n [-2, 8, 5, -10, -10, -1],\n [8, 8, -7, 8, -7, -5],\n [2, 5, 7, 3, -7, 8],\n [4, -4, 6, 5, 12, 10],\n [-8, -7, -1, -2, 3, 7],\n [4, 7, -4, -12, -10, 8]]\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 sum of all entries of the result:\nA =\n[[10, -4, 9, 6, 0, 10],\n [1, 7, 6, 10, -6, -9],\n [-1, 10, 1, -11, -12, 5],\n [7, -5, -10, -7, 9, 0],\n [-4, -4, 7, -4, 2, 0],\n [9, 3, -11, 1, -7, -11]]\nB =\n[[-5, -9, 8, 11, 1, -2, 11],\n [1, -1, 3, -7, 7, -12, -1],\n [-6, -5, -4, -11, 4, 7, 0],\n [-8, -3, -1, 4, 8, -7, -10],\n [2, -6, -7, -9, 6, -8, -10],\n [12, -4, -7, 0, 9, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "723", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-11, -9, -5, 0, -3, 5, -4],\n [-12, 0, 5, 2, -11, -2, 1],\n [9, 2, 1, 3, 10, 2, 6],\n [-4, -8, -8, -2, 7, 12, 11],\n [-9, 7, 5, 12, -10, -9, 1],\n [-6, -5, 11, 3, 7, 2, -6],\n [4, 9, 9, 9, -1, 5, 11]]\nB =\n[[1, 2, 2, -8, 3, -8, -11],\n [7, 12, -4, 9, -4, -9, 2],\n [-2, -12, 5, -12, -5, 12, 3],\n [9, 5, 9, -4, -1, 6, 12],\n [5, -8, -11, -6, -3, 2, 12],\n [-6, -8, 2, 7, 7, 2, -3],\n [11, 1, -3, 4, 8, 1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1517", "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, 0, -4, -6, 3, -3],\n [11, 9, -4, 9, 10, -6],\n [3, -4, 11, 4, 7, -6],\n [-2, -5, -6, 6, 7, -1],\n [-6, -5, -6, -7, 12, -4],\n [0, -6, -5, 9, 4, 4]]\nB =\n[[3, 9, -11, -5, 4, 0, 5],\n [11, 9, -3, -11, -11, 1, 3],\n [-6, 8, 8, 11, -1, 10, 1],\n [12, -9, -9, 5, -10, -12, 4],\n [-6, 3, -8, 6, -6, 1, -11],\n [-10, 4, 3, -5, 5, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3660", "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, 5, 5, 12, 11, 1],\n [1, 1, 12, -9, -9, 2, 2],\n [5, 1, -12, -3, 7, -3, -3],\n [11, -11, -5, -12, -12, -9, -6],\n [-4, 3, -8, -11, 10, -2, 5],\n [12, 12, 6, 0, 11, -2, 7]]\nB =\n[[6, 4, -8, 0, 7, -12, -3],\n [-5, 11, -5, 6, -7, -1, -6],\n [3, -4, 8, 12, 9, -3, -3],\n [-3, 7, 3, -12, 4, 8, 1],\n [6, 8, 8, 4, 1, -5, 8],\n [8, -4, -5, 0, 4, 6, -6],\n [4, -12, -8, 12, -7, -11, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4328", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, 9, -8, -8, -1, -10, 3],\n [-7, 2, 2, 3, 7, 0, -1],\n [-3, 1, -11, -10, -4, -2, -2],\n [12, 9, -3, 1, -4, 7, 8],\n [-3, 9, -4, -8, -5, -2, -12],\n [8, -3, -12, 9, -6, 1, -8],\n [4, 9, 8, -7, 3, -2, -3]]\nB =\n[[2, -6, 10, -11, -1, 6],\n [-1, 3, -7, -10, -11, 7],\n [-8, -2, 12, -10, -10, 9],\n [-8, 9, 10, -2, -10, 0],\n [8, -5, 7, -3, -11, -9],\n [5, 6, -9, 7, -4, 3],\n [-7, 12, -9, -4, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-166", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[-7, 8, 6, 1, 8, 2],\n [-10, -8, 8, 5, 1, 3],\n [1, -4, 2, -6, 1, -7],\n [8, 2, 7, -5, -11, -5],\n [-12, 4, 6, -8, 9, 7],\n [3, -6, -6, 5, 5, -11]]\nB =\n[[2, 1, 5, -4, 1, -8],\n [-2, -5, -8, -2, -8, 4],\n [9, -9, 2, 6, 9, -11],\n [11, 4, -1, 12, 11, 4],\n [-3, 12, 5, 6, 5, 0],\n [1, 11, 3, 5, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "35", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, -6, -1, -11, -3, -8, 8],\n [-10, 6, 0, -1, -10, -7, 1],\n [-9, 0, 6, 5, -10, 7, -7],\n [3, 7, 11, -10, -1, 6, 6],\n [11, -9, -12, -11, 0, 0, -11],\n [6, 9, 11, 3, -1, -12, -4],\n [4, -3, 5, 6, -6, 12, 6]]\nB =\n[[11, 2, -4, -3, 10, 7, 7],\n [-9, -7, -9, -8, -4, -1, 10],\n [-5, 8, -8, -2, 10, -2, 0],\n [1, -5, 12, 5, 6, -1, -1],\n [5, -3, -6, 5, -1, 1, 2],\n [3, -11, 5, -1, 3, 0, 7],\n [4, 5, -10, 10, -3, -12, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4941", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 6, -9, 7, 10, -10],\n [-5, -5, -6, -11, 8, -7],\n [3, -3, -9, 0, -3, 8],\n [1, -4, -2, 10, 5, -2],\n [4, -11, -10, -2, 5, -10],\n [2, -2, -2, 12, 7, 12]]\nB =\n[[-2, 6, -12, -8, -3, -3, 1],\n [-11, -9, -11, 5, 0, 6, -8],\n [7, -11, -2, 5, -7, 10, -3],\n [9, 10, 4, 9, -2, 6, 4],\n [11, -9, 11, 1, 7, -9, 1],\n [-9, -7, -4, 8, -1, -5, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4688", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 12, 12, -8, -7, -8, 6],\n [-5, -4, 2, -9, 12, -4, -6],\n [-5, 2, 6, 2, -8, 6, -6],\n [-7, 6, 12, 4, -3, 6, -2],\n [2, -3, -2, 10, -10, -10, 5],\n [12, -2, 7, 9, 5, 12, 2],\n [-6, -3, 8, 10, 7, -3, 0]]\nB =\n[[2, 10, 5, 10, -9, 7, 4],\n [-10, 8, 8, -11, -9, -12, 2],\n [12, -12, -7, -6, 6, -1, -12],\n [-6, 6, 0, -1, -1, 9, 0],\n [1, 9, -1, 7, -1, -7, -3],\n [7, 11, -4, -11, -6, -4, 12],\n [-1, -8, -12, 9, 2, -5, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5312", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 3) when matrix A is multiplied by matrix B?\nA =\n[[5, 0, -12, -8, 5, 3, -3],\n [-9, -12, 10, -5, -8, -11, 11],\n [4, -6, 4, -7, 9, 2, -8],\n [2, 5, 5, 12, 8, 8, 10],\n [-7, -11, 4, 8, -9, -1, 6],\n [-11, -11, 1, 2, 7, -11, -9]]\nB =\n[[6, -4, -6, 0, -1, -10, 0],\n [2, 1, 11, -4, 0, 10, 9],\n [-9, 8, -5, -10, -11, 6, 10],\n [-5, 4, 0, -6, -4, -1, 1],\n [1, 2, -10, 2, 6, 11, 7],\n [1, -5, -8, 6, -9, 1, 3],\n [7, 11, -7, 10, 12, -7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "21", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -10, -2, -10, -3, 5, -12],\n [3, 3, -3, -12, -9, -10, -8],\n [-1, 12, -1, 0, 11, -1, 12],\n [3, 0, -8, 11, -9, 8, 2],\n [-1, 6, 8, 6, 8, -2, 8],\n [-7, -4, -12, -1, 1, -7, -12]]\nB =\n[[9, -11, 11, -2, -10, -3],\n [-7, -7, 7, 8, -11, 11],\n [-3, 10, -7, 10, 4, 1],\n [-8, 10, 4, -11, -4, -1],\n [6, 9, -6, -4, 8, 3],\n [7, -2, -1, 2, 5, 6],\n [3, 2, -8, -2, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-352", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[0, -9, 4, -9, 3, 10, 2],\n [1, -1, -10, -3, -5, -7, 9],\n [1, 4, 8, 6, 3, 2, 2],\n [-12, 11, 10, 10, -1, -3, 1],\n [-3, -3, 7, -2, 9, 3, -4],\n [2, 1, 6, -4, -9, 8, -6]]\nB =\n[[9, -5, 11, -5, 6, 2],\n [3, 9, 10, -4, -1, 3],\n [-9, -8, -5, -12, -7, 2],\n [-9, 8, -2, -8, 5, 11],\n [2, 5, 7, 0, -8, -12],\n [9, 5, 1, -8, -7, 11],\n [12, 3, 9, 8, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 6) of the product matrix AB given:\nA =\n[[5, -11, 10, 8, 10, 0],\n [4, 4, 3, 8, 5, -5],\n [-10, 4, 5, 10, -7, -5],\n [10, 0, -5, 6, -7, 10],\n [2, -3, 4, -12, -6, 0],\n [-10, 6, 2, -8, -2, 9],\n [5, -10, -7, -10, -8, -4]]\nB =\n[[6, 0, -7, -2, 8, 8, 1],\n [-7, -7, 4, -2, 2, -4, 8],\n [4, 11, -6, -6, 8, -12, 12],\n [12, -5, -8, 6, -5, 4, 6],\n [-1, 10, 2, -9, 10, -1, 0],\n [1, -8, 9, 3, -6, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "124", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[3, -1, -6, 3, 10, 10, 0],\n [10, -10, 2, -10, -6, 5, 1],\n [5, 6, 1, 7, -7, -5, -6],\n [7, 5, 5, 2, 7, 9, 6],\n [9, 8, 8, -11, -5, 8, -2],\n [5, 10, 0, -4, -4, 4, -6]]\nB =\n[[-4, 9, -12, -11, -9, 1, -9],\n [-11, -5, 5, 6, 1, 7, 12],\n [-3, 4, -5, 1, 8, 10, -5],\n [-8, 3, -5, -3, -5, -4, 5],\n [-10, 4, 7, 2, 8, 4, -5],\n [-11, 4, 5, -8, -4, -4, -11],\n [-11, 6, 10, -10, 4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-51", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -7, -10, -12, 3, -9, -12],\n [4, 5, -5, -11, 5, 3, -3],\n [-5, -1, 9, 3, -1, -2, 7],\n [6, -12, -10, -1, -4, 8, 9],\n [-8, -12, -3, 4, -9, 2, 6],\n [-5, 10, 2, -6, 2, -5, 10]]\nB =\n[[-3, 5, -9, 2, -2, 9],\n [-10, 2, -10, 2, -7, -12],\n [1, 3, -12, 8, 4, -5],\n [5, 3, -7, -3, -3, -8],\n [-1, 7, 4, 1, 1, -10],\n [-1, 7, 5, -1, -11, -11],\n [4, -3, 5, 9, 6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1418", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-12, 11, -9, 12, -9, -11],\n [6, 8, -1, -3, 0, 9],\n [10, 7, 10, 2, -10, 10],\n [7, 0, -5, 12, -6, 11],\n [-5, 5, -4, -7, -9, 2],\n [-8, -8, -6, -4, -6, -4],\n [7, -3, -9, -7, 11, 1]]\nB =\n[[-4, -12, 4, 0, 11, -6, -4],\n [-2, -10, -1, 8, -10, 2, 8],\n [-3, -12, 1, 7, -7, -11, 10],\n [-5, -12, -9, -9, -8, 7, -4],\n [10, 0, 5, 4, 12, -12, 9],\n [2, -11, 3, 7, 9, -8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-350", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, -8, -11, -6, -10, 4, 11],\n [11, -10, 0, -6, 12, 11, -10],\n [2, 5, -3, 10, -6, -4, -8],\n [7, -5, 1, -9, 7, 1, -1],\n [-11, 0, -12, 7, -6, 12, -4],\n [4, 8, 10, 0, 10, -3, 3]]\nB =\n[[-7, 3, -2, 7, -10, -4],\n [2, 0, -3, 7, 11, 0],\n [4, -6, -7, 0, 4, 2],\n [-9, 2, 1, 8, -2, 11],\n [-9, -10, -11, 7, -3, 0],\n [7, 8, 10, 12, 5, 8],\n [3, -2, -3, -4, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, 5, 1, 9, 8, -12, 4],\n [-2, 7, 2, -9, 2, 9, 9],\n [1, 9, -12, -4, -6, 10, -2],\n [10, -11, -11, -7, 10, 6, 7],\n [1, -10, -6, -6, -9, 10, -8],\n [4, -9, 10, 0, 3, 3, -11],\n [5, -12, 5, -5, -2, 11, 11]]\nB =\n[[2, 3, 4, 4, -1, -3, 7],\n [-7, -5, 0, -11, 6, 9, -3],\n [-9, -1, 5, -6, 7, 11, 11],\n [10, 12, -9, -6, -3, 2, -1],\n [-12, 7, 5, 12, 3, -8, 6],\n [-9, -7, 4, -6, 11, 10, -6],\n [-4, 0, 7, 1, 3, 10, -4]]\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 trace (sum of diagonal elements) of the result:\nA =\n[[2, -8, 5, 8, 7, -5, 2],\n [8, 12, -4, 6, 9, -7, -9],\n [-2, -3, -10, -12, -1, 10, 2],\n [2, 8, 1, -6, 4, 11, 6],\n [-6, -10, -10, 12, 5, 7, 9],\n [1, -10, -6, -6, -8, -10, 5]]\nB =\n[[2, 7, 1, -9, 11, -5],\n [8, 0, 9, -5, 2, 4],\n [-8, 7, -9, -2, 5, -3],\n [4, 2, -7, 10, 8, 3],\n [2, -5, -4, -2, -11, 0],\n [-9, -4, -8, 6, 9, -10],\n [8, -10, -7, -3, -8, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 9, 11, -6, 9, 5],\n [10, -5, -12, 12, -9, 11],\n [-6, 1, 0, -3, 10, 5],\n [-12, -9, 3, 3, 5, -5],\n [-3, 3, 10, 11, -2, -7],\n [-12, -1, 12, -7, 0, 4]]\nB =\n[[-12, -5, 9, -5, 11, -2, 1],\n [11, -3, 2, -6, -6, -3, -9],\n [12, 5, 12, -3, 6, 1, 0],\n [2, 3, -11, -9, 8, 5, 4],\n [-3, 8, -4, 2, -1, 8, -4],\n [1, 0, -7, 6, -9, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4539", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[6, -10, 1, 4, 0, -4],\n [-12, 12, 4, 3, 5, -11],\n [1, 9, 10, 4, -10, -11],\n [-5, 12, -11, -11, -4, 7],\n [8, 12, -7, -1, 12, -4],\n [-6, -1, 12, -8, 3, -8],\n [-1, 11, 7, -4, 10, -6]]\nB =\n[[6, 7, 10, -2, 8, -1, -10],\n [4, -6, 9, -3, 10, 2, -11],\n [0, -9, 5, 11, 10, -12, -11],\n [-11, -9, -10, 4, 1, -11, 3],\n [-2, 12, 0, -12, 12, 10, -11],\n [-11, 8, -8, -9, -1, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 7, 5, 8, 8, 8],\n [-3, -12, -7, -2, -11, -6],\n [7, 8, 8, 8, 5, 8],\n [6, -9, 0, 5, 7, 12],\n [11, 0, 6, 4, -12, -7],\n [6, 7, -12, -5, 4, 8]]\nB =\n[[9, 2, 5, -6, 3, -6],\n [4, -9, -1, 0, -9, 8],\n [-12, -12, -6, -4, -12, 3],\n [5, 9, 2, -7, -11, -4],\n [-9, 0, 10, 9, -2, 0],\n [-2, 6, -5, -6, 12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "245", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 4, 5, 2, 4, -2, -8],\n [3, 2, -3, 1, -11, 3, 6],\n [-5, 2, -3, -8, 7, 3, 8],\n [9, -1, 10, 0, -4, 4, 7],\n [-1, 12, -8, 11, -1, -12, 7],\n [3, -1, -4, 0, 4, 4, -9],\n [1, 6, -6, -10, -12, -1, 2]]\nB =\n[[-2, -3, -11, -9, 4, 4, -5],\n [10, 1, 11, -9, -7, 6, 11],\n [-9, -10, 7, -7, 10, -6, 1],\n [-1, 3, 7, -5, 10, -11, 0],\n [-5, 12, 8, 7, 3, -9, 3],\n [7, -7, -9, 3, 10, 10, 8],\n [0, -8, 2, -5, -6, 1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5531", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, -6, 10, 5, -3, 5, 1],\n [-3, -6, -6, -6, -8, -12, 1],\n [5, 0, 12, -5, -5, -3, 4],\n [-7, 2, 2, 12, 3, -5, 6],\n [7, 2, -10, -7, 12, -5, 3],\n [2, 0, 7, 2, 5, 0, 11],\n [-5, 1, -2, -7, 11, 12, -12]]\nB =\n[[12, -11, 0, -12, 11, 11],\n [-9, 11, 10, -11, 8, 7],\n [3, -10, 4, -8, -5, -1],\n [12, 10, -1, -12, -12, 2],\n [4, -11, 4, 7, -4, -1],\n [-9, 0, -9, -6, 1, -4],\n [10, -12, -12, 7, -9, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-430", "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, -3, -11, 8, 11, 2],\n [-10, 12, 10, -4, 4, 8],\n [0, -10, -9, -9, -2, -6],\n [-2, 11, -2, -3, -8, 0],\n [-1, -3, -6, 6, 6, 6],\n [-1, 7, 9, 2, -8, 11],\n [1, -1, 8, -2, -8, 3]]\nB =\n[[5, -1, -8, 3, -1, 10, -11],\n [-7, 10, 8, 12, -9, 0, -3],\n [4, 1, 11, 2, -5, 10, 11],\n [5, -10, 12, 4, 11, 11, -6],\n [0, 3, -8, -9, -3, 0, -3],\n [1, 9, -1, -12, 8, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5155", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -4, -5, 0, 1, -1],\n [-5, 8, 9, 5, 3, -2],\n [3, 1, -10, 8, -11, -10],\n [-9, 9, -8, -3, 7, -11],\n [-1, -8, -8, 10, -12, -9],\n [8, 11, -1, -1, 3, 11]]\nB =\n[[4, 8, -3, 4, 4, 5, -11],\n [12, -9, 6, -2, 4, -1, -11],\n [-7, -4, -8, 7, 8, -4, 10],\n [-5, 7, -5, 9, 8, 10, -7],\n [-10, -8, -4, -6, -9, -6, -8],\n [-2, 2, -11, 0, 9, 3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "719", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-5, -7, 11, -6, 5, 9, 12],\n [9, 7, -6, -10, -8, -12, 2],\n [-10, -5, 12, -4, 2, -3, -11],\n [7, -8, 6, 0, -2, -12, 9],\n [2, 5, 3, -4, -12, -2, -4],\n [10, -2, 0, -11, 1, -7, -5]]\nB =\n[[5, 3, 8, -1, -2, -7],\n [-10, 1, -11, -2, 9, -10],\n [5, -12, 11, -12, -1, 2],\n [-8, -7, 3, -1, -1, -10],\n [10, -11, -6, -11, 8, -6],\n [-2, -2, 1, -10, 1, -2],\n [-9, 4, 3, -10, 12, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "383", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 2, -5, 5, -10, -6, -3],\n [7, -4, 1, 10, 1, -2, -12],\n [-9, -7, 9, 9, -8, -10, -11],\n [-10, -4, 6, 6, 4, 5, -2],\n [-1, -10, 5, 11, -7, -6, -12],\n [-7, 5, 0, 9, 6, -6, 6],\n [-4, -10, 10, -1, 7, 11, 5]]\nB =\n[[-5, -4, 0, -5, 9, -3],\n [4, -6, 4, 10, 5, 11],\n [-11, -10, 6, -12, 8, 8],\n [-3, 8, 1, 0, -4, -7],\n [-7, 6, 8, -3, 10, -10],\n [5, 8, 6, -8, 12, -2],\n [-3, 4, -9, 8, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1799", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-12, 1, -5, -11, 6, 2],\n [-11, -9, -12, 6, 8, -3],\n [-12, 7, 9, 2, -9, -6],\n [-6, 9, 12, 5, 0, -3],\n [11, -5, -3, 1, 1, 7],\n [9, -2, -7, 8, -12, 6],\n [-6, 11, 5, -10, 7, -2]]\nB =\n[[-8, 6, 8, 11, 11, -11],\n [9, -9, 12, -3, -11, -5],\n [-12, -7, -2, -3, 0, -12],\n [-11, -10, -4, -8, -3, -3],\n [-1, 5, 8, 8, -12, -10],\n [-8, 12, 4, -5, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5509", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 4, -5, 8, -6, -6],\n [2, -6, 9, -5, -4, 2],\n [-11, -6, 2, 5, 9, 5],\n [-3, 9, 5, -12, -6, -10],\n [1, -1, 1, -9, 0, 3],\n [3, 9, -8, 7, 12, -7],\n [-7, 5, -7, -6, 11, 11]]\nB =\n[[3, -4, 0, -1, 6, 10, 10],\n [-12, -5, -9, 8, 9, 6, 8],\n [-8, 4, -10, 6, -12, 10, -12],\n [10, 7, -4, 10, -8, -6, 12],\n [-7, 4, 9, 4, 0, -1, -9],\n [-5, -8, -8, 0, -2, -5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-578", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-12, 0, -8, 8, -5, 4, 10],\n [10, 0, -4, -11, 6, 7, 4],\n [-6, -10, 6, 6, 11, -4, -3],\n [1, 5, 2, -12, 12, -7, 2],\n [12, -7, 5, -12, 11, -10, 4],\n [3, -5, 4, -5, 4, 12, -4]]\nB =\n[[-1, 12, 6, -9, 8, 9],\n [12, -2, -9, 1, 1, -7],\n [4, -11, -5, -9, -3, -6],\n [-9, 3, 1, 3, 12, -4],\n [-9, 11, -7, -12, -6, -12],\n [6, -5, 12, -10, -12, -12],\n [-6, 8, 0, -12, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-276", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[9, 1, -9, 10, 10, -1, 12],\n [-1, 4, 8, 2, -3, -10, 10],\n [7, 7, -1, -12, -12, -3, 5],\n [2, -11, 4, -5, 9, 9, -4],\n [8, 7, -2, -7, 11, 1, -12],\n [-6, 11, -4, -2, 11, 10, 3],\n [6, -11, 2, -10, -9, 7, 9]]\nB =\n[[-6, -1, -9, -3, -7, 12],\n [9, 1, -10, 4, -2, -3],\n [8, -3, -3, -10, 11, 2],\n [4, 5, 6, 6, -1, 11],\n [-8, 11, 3, 2, 2, -7],\n [-1, -11, 7, -4, -9, -8],\n [8, -5, 9, -3, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5147", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[1, -8, 3, 2, -8, -10],\n [10, -3, -8, 10, 2, 5],\n [12, -5, 8, -11, 9, -5],\n [10, -5, -9, 6, 10, 5],\n [8, 10, -12, 7, 2, 5],\n [9, -1, -12, -6, 6, -12],\n [11, -6, -11, -6, 6, 0]]\nB =\n[[12, 11, -8, 10, 6, -12, -12],\n [5, 11, -12, -8, -4, -1, -4],\n [5, 10, -2, -12, 6, 9, 12],\n [-3, -11, -6, 7, -11, 6, -7],\n [-3, -4, -5, -2, -4, 7, 7],\n [-4, -5, 2, -11, 11, -12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "178", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 0, -5, 8, -8, -10, 8],\n [-9, 4, 3, 3, 12, 7, -10],\n [-7, -12, 8, 3, 2, -6, -11],\n [-3, 12, 2, -7, -11, 11, 11],\n [4, -12, -12, -9, 7, 3, -5],\n [-12, 6, -2, 4, 12, -3, -1]]\nB =\n[[-4, -6, -1, 2, -5, 4, -8],\n [1, -11, 3, 4, -10, 10, -12],\n [5, 5, -9, 2, 6, 6, -3],\n [-8, 6, -2, -6, -8, 7, -1],\n [6, 2, -1, -9, -1, 5, 4],\n [6, 3, -2, -11, 3, -12, 4],\n [5, 12, 0, -8, 12, 11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 2) of the result:\nA =\n[[-12, -3, -8, -12, 10, -2, 11],\n [11, -6, 5, 8, 7, 8, -3],\n [12, 2, -9, 3, 2, 2, -1],\n [-5, -5, 5, -7, -8, -11, -1],\n [-9, 10, 0, 4, 3, -4, -12],\n [2, -1, -8, 10, 11, 5, 7],\n [-11, -9, 2, -7, 9, -1, 5]]\nB =\n[[7, -9, -12, 2, 5, 1],\n [-10, 2, -8, 11, 9, -10],\n [9, -6, -7, 9, -12, 6],\n [-6, -9, -1, 7, 10, 12],\n [5, -4, 6, 9, -9, -12],\n [-4, 2, 9, -5, 2, 2],\n [5, -6, 9, 5, 3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "64", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 7) of the product of the following matrices:\nA =\n[[-9, 7, 3, -10, 11, 10],\n [-11, -10, 12, -8, -11, 6],\n [11, 7, -11, -11, 9, 11],\n [10, 7, 5, 12, 7, 12],\n [8, 1, 2, -1, -2, -2],\n [-6, -1, 3, -8, -11, 9]]\nB =\n[[3, 10, 2, -2, -7, 0, 6],\n [-3, 11, 6, -8, 12, 8, -6],\n [-2, 1, 10, 8, 3, 5, 8],\n [10, 10, -9, -12, 9, 2, 1],\n [6, -8, -9, 0, 5, -1, 10],\n [8, 2, 10, -4, -9, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-160", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[0, -3, 3, 0, -9, 8],\n [0, 8, -5, 0, 2, 7],\n [7, 0, 10, -8, 9, 9],\n [-7, -8, 0, -8, 12, 0],\n [11, 7, 10, -5, -4, 8],\n [6, 7, 2, 9, -3, -2]]\nB =\n[[-8, -4, -2, 6, -11, -7],\n [10, 8, -12, -10, -10, 1],\n [7, 9, -8, 4, 2, -7],\n [1, 1, 12, 4, -5, -5],\n [6, -4, -2, 0, 0, 11],\n [6, 8, 6, -8, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[7, 9, -10, 6, -8, -5],\n [1, 11, -10, 11, 0, -2],\n [-5, 6, -3, 5, 5, 12],\n [-6, 3, -7, 3, 3, 10],\n [11, -12, 11, 6, -10, -7],\n [-9, -9, -9, -3, -4, -5]]\nB =\n[[6, 4, 4, -12, 7, 1, 9],\n [7, -2, -10, 11, -5, 9, 12],\n [-3, 4, -5, 9, -12, 7, 8],\n [-6, 11, -4, -1, 9, -4, 7],\n [11, -10, -9, -3, -9, 9, -4],\n [9, -12, -8, -4, -8, -7, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5049", "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, -3, -2, 0, 7, -9, -2],\n [-1, -8, -3, 12, 11, -6, 8],\n [-4, -4, -3, -3, -11, -9, -5],\n [1, 4, 0, 8, 11, 5, 5],\n [0, -5, -1, 12, 10, 11, 8],\n [-12, 7, 5, -10, -1, 6, 12],\n [0, -3, 2, 7, -11, 6, -10]]\nB =\n[[1, -6, -5, -2, 9, 7],\n [-7, -2, 4, -3, 11, 4],\n [8, -11, -7, 12, -8, -9],\n [-11, -1, -10, -7, 11, 1],\n [-5, 8, 8, 1, -10, 3],\n [2, -6, 2, 0, -7, 2],\n [4, -9, 9, 9, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3492", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[-1, 6, 9, -3, -7, 12, -4],\n [-11, -9, -4, 2, 0, 7, -5],\n [6, 6, 12, 3, -2, -3, -5],\n [-12, -3, 5, -10, -2, 5, -10],\n [-5, 1, -7, 2, 1, -6, -3],\n [2, -3, 9, 4, 6, 4, -1],\n [2, -1, 12, -4, -8, -9, -1]]\nB =\n[[3, -4, 12, -10, 8, -10, 5],\n [4, -3, -11, 11, -2, 11, -10],\n [10, 10, -11, -4, 6, -11, 6],\n [-11, 2, 11, 8, -10, -8, -2],\n [11, -6, -7, 1, -12, 4, 4],\n [1, -3, -5, -5, 1, -6, -7],\n [-9, -12, 2, 12, 2, -12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 10, -8, -8, -9, 4, 8],\n [7, 1, -5, -11, -5, -12, -9],\n [6, -8, -8, 8, 7, 11, 6],\n [-1, 7, -12, -6, 4, -11, -2],\n [-6, 4, -10, 9, -7, 9, -2],\n [5, 5, 9, -3, -8, 10, 10]]\nB =\n[[8, 11, 9, 2, 8, 7, 10],\n [-9, 8, 8, -12, 2, 4, 6],\n [1, 6, 5, -11, -7, 0, 4],\n [-7, 8, 9, -8, -6, -12, 0],\n [6, 9, -12, 0, -2, -6, 7],\n [-10, 12, -12, -5, 4, 0, 1],\n [-8, 11, 9, 10, 11, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5237", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 8, -5, 0, 5, 10, -9],\n [4, -8, -10, -9, 10, -8, 1],\n [2, 7, 4, -7, -3, 9, 10],\n [3, 4, 1, 7, -1, -4, 2],\n [-1, 1, 9, 5, 7, -7, -9],\n [10, -1, 0, 6, 9, 0, -1]]\nB =\n[[7, -10, -10, 1, 5, 6, -3],\n [4, 2, 6, -4, -9, 2, 6],\n [3, -5, 4, 8, -12, -6, 8],\n [5, -1, 3, -12, 2, -6, 4],\n [-10, -2, -7, -7, 2, -6, -2],\n [4, 10, 5, 9, 11, 8, 6],\n [-5, 11, 7, -5, 8, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-973", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 10, 1, -4, 12, -12, -12],\n [-1, -2, 8, -12, 7, -1, 4],\n [2, -11, 5, 3, -9, -5, -11],\n [1, 12, 2, -4, -11, 4, -3],\n [-4, -11, 11, 6, 4, -2, 4],\n [-3, 5, 10, -7, 3, 5, 7],\n [5, -12, -10, 2, 7, -3, 8]]\nB =\n[[-8, 2, 10, 1, 2, -3],\n [11, -4, -1, -6, -8, 12],\n [11, -3, 12, -5, 9, 7],\n [12, 3, -1, -4, -3, 3],\n [-3, -4, -10, 6, -2, -7],\n [-7, 2, 2, 0, 9, -8],\n [1, 8, -11, 10, -1, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4287", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, 6, 11, 7, 2, 7, 11],\n [4, 12, 1, 10, 5, 9, 11],\n [-8, 9, -1, -3, -5, -7, 12],\n [2, -1, 12, 12, -7, -1, 2],\n [-1, -4, 6, 8, -11, 0, 0],\n [-5, 0, -9, -7, -7, 8, -1],\n [-1, 4, -6, 2, 11, 4, -3]]\nB =\n[[10, 7, -7, -4, 2, 3],\n [8, -5, 3, -8, 5, 7],\n [1, -11, 10, 10, -10, 1],\n [-6, 2, 4, -12, -4, 9],\n [1, 3, 8, 0, -7, 9],\n [-12, 8, 12, -9, -10, 4],\n [-11, 6, 7, 10, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[12, 2, -7, 10, 7, -11, 12],\n [12, 2, 7, -1, -10, -3, 1],\n [9, 1, -10, -12, 7, -12, -11],\n [6, 11, -3, -9, -9, 0, -4],\n [-6, 3, 5, -10, 7, 7, -3],\n [11, 9, 3, -10, -2, 12, -3]]\nB =\n[[3, -5, -4, 2, 8, -10],\n [-9, 0, -1, 8, -4, 12],\n [1, 6, -6, 3, 9, 7],\n [-8, -3, 5, -2, -6, 1],\n [7, 5, -2, 9, -1, 5],\n [-11, 10, -12, 10, -3, 8],\n [-12, -7, -6, 4, -4, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "168", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -10, 3, -8, 7, 5, -12],\n [-9, 10, -2, 7, -4, -5, -5],\n [-8, -1, -12, 2, 12, 5, -7],\n [-3, 1, 8, -5, -10, 9, 9],\n [6, -1, -1, 2, -6, -9, 8],\n [-4, 9, 3, 0, -9, 11, -4]]\nB =\n[[8, 5, 2, 2, -7, -2, -5],\n [8, 4, 11, 12, 4, 11, 5],\n [-9, 2, -11, -11, -3, -10, -5],\n [7, -6, -1, 6, 2, 1, 3],\n [1, -10, 5, 9, -7, 4, 10],\n [1, 1, 7, 0, -10, 0, 11],\n [-11, -4, 0, -5, 3, 11, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "637", "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, -9, 5, -11, 7, 9, 8],\n [2, 4, -3, -12, -7, -10, 6],\n [-6, 0, 0, 4, -12, 1, -10],\n [1, 11, -12, 3, -3, 0, -9],\n [-4, 1, -9, -3, -5, 10, -10],\n [10, -6, -3, -10, -11, 2, -4],\n [2, 4, -6, 7, 5, 2, 5]]\nB =\n[[11, 10, -1, 10, 8, -5, -11],\n [-11, -8, -12, 9, -9, -7, 10],\n [0, 6, -2, 0, -5, -6, 0],\n [-12, -7, -6, 3, 2, 7, -11],\n [12, 10, 3, 4, 11, 2, -10],\n [-9, -1, -8, 4, -7, -3, 9],\n [5, -3, -7, 11, -7, 7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4732", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-9, 12, 3, 9, 11, -5, -6],\n [6, 4, 8, 0, 2, -11, -3],\n [0, 5, 10, -2, 0, 6, 11],\n [12, 11, 9, -8, -10, 6, 10],\n [0, -8, -1, 1, -7, 9, -4],\n [4, -5, 0, -8, 9, 9, 4]]\nB =\n[[-10, -7, 1, 2, 1, -2],\n [-2, -4, -7, 2, -1, -7],\n [-12, 12, 3, 7, 2, -11],\n [4, -10, -10, -8, 4, 10],\n [4, 7, -7, -12, -6, 2],\n [-6, 6, 7, 9, -2, 10],\n [1, 0, 7, 12, -4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[3, -1, -3, -7, 5, -11, 7],\n [-4, 6, -7, -11, 2, 4, 3],\n [8, -5, -3, -3, 5, -3, -4],\n [11, 6, -12, -9, 11, -10, -3],\n [-1, 5, 10, 7, -7, 8, -11],\n [-3, -11, -4, -3, -11, -5, 11],\n [4, 4, -9, 5, -1, 4, -4]]\nB =\n[[6, 1, 1, 4, -11, -5],\n [-8, -6, 9, 3, 3, 4],\n [9, -6, 7, -5, -5, 10],\n [-2, 2, 5, -7, 9, -1],\n [2, 10, -7, 5, 11, 7],\n [-4, -5, 1, 6, 6, -5],\n [-11, 12, -9, -7, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-165", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, -2, -3, -1, 1, 5, 11],\n [-4, 2, 11, -10, 10, -2, -3],\n [5, -9, 0, -7, 8, 0, 12],\n [7, -8, 7, 1, 0, 1, -5],\n [3, 0, 11, 2, 6, -12, 9],\n [-11, 5, 6, -5, -10, 10, 1],\n [-4, -5, 4, 10, 10, 11, 3]]\nB =\n[[-3, 8, -3, 12, 12, 11, -7],\n [9, 4, 3, 2, 9, 1, -9],\n [-9, -11, -2, -9, 8, 8, 3],\n [8, -9, -12, 11, 6, -11, -4],\n [10, 12, 0, 5, 3, 3, 12],\n [-3, -4, -2, 12, -9, -3, -10],\n [-7, -10, -4, -10, 5, -5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "387", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-5, 2, 0, -6, 6, -5, -3],\n [4, -12, 0, 0, 11, 3, -4],\n [-3, -7, -8, -11, -2, -4, -7],\n [-5, -4, -4, -5, -1, -5, -10],\n [0, 6, -11, 4, 3, -9, 5],\n [1, -11, 0, 8, 7, 4, 2],\n [12, 7, -8, -6, 5, 11, -2]]\nB =\n[[5, -8, 0, 5, -11, 7, -9],\n [0, 11, 3, -7, -5, 3, 0],\n [10, -9, -11, -4, 5, 4, -5],\n [2, -4, 4, 10, -11, -7, -8],\n [4, -11, 5, -3, -3, -7, -1],\n [4, 0, 7, 3, -3, 8, -11],\n [-11, 10, -6, -7, -12, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-689", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[-1, 6, -4, -3, 4, 5, -5],\n [-6, -4, -3, -1, 2, 2, -9],\n [-9, 10, -12, -1, 12, -11, 2],\n [4, -6, -7, -1, 6, -12, 8],\n [1, -9, -8, -12, -12, 8, -7],\n [-8, -11, 12, 8, -8, -4, 6],\n [8, 2, 0, -1, -8, -11, -9]]\nB =\n[[5, 8, -3, 0, -1, -11],\n [2, 1, 12, -3, 9, -5],\n [12, 2, 0, -5, 8, 8],\n [9, 1, -12, 0, -5, 5],\n [9, -4, 0, -10, 5, -3],\n [-8, 12, -7, -5, 11, -6],\n [8, 5, 1, 2, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-257", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -6, -6, -2, 0, 2, 5],\n [-6, -7, 10, -2, -5, 7, -12],\n [-5, -5, 6, -10, -8, -10, 2],\n [1, 8, 2, 11, 4, 5, -11],\n [-1, 3, -9, 12, -11, 1, -2],\n [0, 12, -6, -3, 11, -12, 8],\n [12, -9, 5, -7, -11, -10, 1]]\nB =\n[[-5, 3, 6, 5, -7, 1],\n [-10, 3, -12, -1, 1, 6],\n [9, 6, -4, -6, 1, -8],\n [5, -4, 8, -6, -4, -9],\n [12, 4, -1, -7, 5, -5],\n [8, 2, -10, -11, 11, 10],\n [-4, -5, -9, -11, 1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "79", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-11, 9, -6, -1, -7, 5],\n [-9, 6, 0, 7, 8, 10],\n [12, -11, -5, 6, -4, -9],\n [3, 6, -3, -7, 3, -3],\n [0, -4, -6, -9, 6, -9],\n [6, 6, -1, 0, 12, -9]]\nB =\n[[12, -3, 8, -6, -8, 4, 5],\n [-2, 2, 8, 9, -6, 5, 12],\n [-7, 5, 3, -11, 6, -12, 12],\n [-2, 7, -8, 3, 10, -12, 6],\n [1, -10, -11, 11, -8, 4, 5],\n [-12, 2, 9, -4, 10, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "317", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, 11, -3, 7, 12, 8],\n [1, 9, 8, -1, -2, 10],\n [-6, 4, 5, -6, 11, 7],\n [-7, -2, -1, 3, 6, 10],\n [6, -2, 3, 10, -1, -5],\n [-10, -11, -7, 3, 7, 11],\n [2, 1, -11, 7, 5, 1]]\nB =\n[[5, -11, -12, 7, -11, -4, -4],\n [3, -2, 10, -7, -1, -10, -1],\n [10, -12, -4, 7, 9, -7, -2],\n [-10, -9, -3, 6, -7, -12, -5],\n [-5, 12, -7, 4, 6, -12, 2],\n [0, 8, -10, -11, -10, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-341", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[11, 0, 6, 5, 8, -1],\n [-1, -12, 7, -5, 4, 8],\n [7, 9, -6, -4, 4, -3],\n [-9, 9, -6, -6, -5, 11],\n [11, -5, 3, -1, 2, -5],\n [9, -4, -10, 9, 8, 3]]\nB =\n[[2, 11, -9, 7, 3, -3, -2],\n [-8, -2, 0, 2, -7, 3, 2],\n [-2, 7, -11, -11, -1, 3, 6],\n [-11, 4, 1, 11, 3, -8, -3],\n [4, 0, 3, -4, 11, -9, 11],\n [3, 10, -2, -6, 4, 9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "912", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 6) of the product matrix AB given:\nA =\n[[-9, 1, -3, -3, -3, -1],\n [-11, 10, -4, -8, -5, 8],\n [1, -6, -6, -4, -10, 1],\n [4, 5, -1, 9, 1, 0],\n [1, -4, 6, -11, -2, 4],\n [-11, 6, -6, 5, 0, -8],\n [5, 10, 11, 11, 3, 2]]\nB =\n[[-5, 2, 12, -12, 4, 2, 1],\n [1, -3, -11, -7, 4, -8, -8],\n [2, 2, 7, -2, -8, -12, -2],\n [-2, -7, 10, -5, -11, 2, 10],\n [9, -4, 2, -5, 3, 1, 2],\n [7, 0, -4, -12, -7, -5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, 5, 4, 8, 3, 0],\n [9, -9, -9, 8, 1, -8],\n [3, 1, 1, 1, 12, 11],\n [12, 1, 6, -10, 4, 1],\n [-3, 0, 9, -9, -2, 2],\n [2, 11, -11, -2, -11, 10]]\nB =\n[[-8, 0, -12, -6, -6, -3, -7],\n [7, -1, 0, 11, -2, 5, -11],\n [3, -11, 6, -7, -12, -2, 5],\n [-3, 5, -12, 6, 3, -6, 2],\n [-12, 10, 8, -4, -11, 4, 12],\n [11, -3, -7, -8, -5, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4510", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 4) of the product matrix AB given:\nA =\n[[-1, -6, 0, 0, 4, -9, 5],\n [-3, -10, -1, -12, -2, 5, 0],\n [4, -5, 7, 6, 4, -11, -10],\n [-10, -7, -3, 11, 9, 5, 5],\n [1, 3, -6, -12, 4, 10, 12],\n [-8, -12, 8, 4, -3, -1, 12],\n [7, 12, -11, 10, 3, 2, 0]]\nB =\n[[5, 7, 9, 1, 5, -11, -11],\n [-10, -8, 12, 3, 9, 2, -1],\n [-4, 1, 8, 3, -2, -7, -3],\n [-5, 3, -10, -11, 3, 6, -4],\n [3, 9, -9, -3, 6, 0, 5],\n [2, -9, -4, -9, 3, 8, 2],\n [11, -11, 1, -10, 9, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-127", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[-12, 10, -4, 4, 1, 4],\n [-12, -3, 10, 3, 12, 6],\n [11, 12, -10, -1, -10, 2],\n [4, 5, -6, 6, -6, -8],\n [-5, 8, 3, 3, 6, 12],\n [2, -6, -8, 10, -2, -3]]\nB =\n[[12, 8, 10, -4, -12, 7],\n [-12, -5, -10, -11, -9, 6],\n [-2, -8, 11, -3, 11, 10],\n [-5, 0, -8, -1, 0, 9],\n [-5, 2, 0, -12, 9, -7],\n [-2, 0, 8, 7, -12, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-2, -5, 9, -10, 6, -1],\n [-7, 10, -5, -8, -3, 9],\n [3, -1, 4, -7, -4, -3],\n [7, 1, 1, 4, 12, 3],\n [-9, -11, 3, -12, -10, 10],\n [-2, 3, 5, 2, -4, -1],\n [5, -8, 11, -5, -10, -11]]\nB =\n[[12, 6, -5, -11, 6, -12],\n [9, 0, 10, 7, 4, -10],\n [-4, -8, -7, -9, 4, 8],\n [8, 8, 3, 3, 9, -2],\n [-11, 4, 2, 5, -3, -7],\n [8, 3, -8, -1, -7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-143", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 3, 12, -6, -11, -7],\n [-4, -6, -11, 6, -5, -2],\n [12, -9, 3, 12, 5, 0],\n [-8, -11, -2, -12, 0, -8],\n [5, 1, 0, -6, -5, 5],\n [-6, 7, 4, 3, -2, 6],\n [-12, 8, -5, -12, -4, 6]]\nB =\n[[8, -4, 8, 12, -3, 11, 10],\n [-2, -12, 7, 12, -5, 7, -1],\n [-12, -3, -9, 2, 6, -7, -8],\n [-8, 5, -10, 9, -11, -9, 5],\n [-4, 6, -3, 9, 2, -12, -2],\n [1, -3, 6, 11, 8, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-11, 10, 12, -6, 6, -6, 2],\n [-5, 1, -12, 0, -10, 8, -7],\n [6, 2, -9, 8, -10, -9, -8],\n [5, 12, -3, -5, -1, 9, -10],\n [5, 10, -5, -12, 1, 9, 10],\n [0, 12, -1, -10, 5, 8, 0],\n [2, -3, -12, -7, -4, -3, 2]]\nB =\n[[-4, 10, 1, -2, -6, 11],\n [-11, 1, -7, -8, -8, 6],\n [6, -7, -3, 10, 1, 4],\n [-10, -12, -3, -10, -8, 12],\n [6, -3, 12, 3, -12, -7],\n [-4, -8, 1, -3, -11, -8],\n [-12, 12, -3, 12, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4377", "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, -9, 0, -7, 7, 4],\n [10, -8, 2, -5, 12, -8, 11],\n [0, -12, -12, -6, 9, -8, 1],\n [2, 8, 12, 4, 11, 5, -6],\n [9, 5, 6, 7, -6, -5, 0],\n [5, 11, -2, -4, 10, -12, 9],\n [-5, 8, -1, -11, 2, 8, 11]]\nB =\n[[5, 4, 2, 7, 7, -4],\n [-10, 7, 6, 5, 7, -5],\n [-12, 11, 11, 2, 6, -3],\n [-1, -7, 0, -9, 0, 4],\n [-12, -8, 11, 4, 5, -6],\n [3, -5, -1, 1, 6, -2],\n [-1, 0, -5, -12, -4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4470", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 6) when matrix A is multiplied by matrix B?\nA =\n[[1, 0, 3, -11, -9, -1],\n [3, -3, -10, -9, -7, 10],\n [-8, 5, -10, -3, -2, 6],\n [1, 8, -2, 8, -9, 11],\n [9, -7, 4, 9, 6, 0],\n [9, -3, -2, -7, -11, -12],\n [-2, 3, -10, -8, 2, 2]]\nB =\n[[-9, 10, -9, -5, -6, 12],\n [4, 2, -8, 0, -9, 9],\n [4, 9, 4, 1, 1, 4],\n [-5, -11, 0, 9, 3, 3],\n [-7, 9, 11, -9, -10, -7],\n [-9, 5, -7, -8, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[-7, 3, 6, -2, 8, 2],\n [11, -4, 11, 6, 12, 6],\n [11, -4, 10, -9, -3, -4],\n [6, 2, 6, -11, -3, 6],\n [4, 7, 11, 8, -11, 6],\n [4, 5, 4, -11, 6, -12]]\nB =\n[[-2, 12, -3, -8, 3, 11],\n [-8, 11, 10, -1, -9, 10],\n [-7, 6, -4, -1, 2, 3],\n [0, 12, 8, 11, -6, 12],\n [10, 7, -9, -2, -5, -7],\n [12, -3, -6, -6, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, -6, -9, 0, 7, 4, -6],\n [4, -9, -2, -10, -2, -10, -1],\n [-12, -9, 1, -12, 1, 0, 0],\n [11, 2, 4, -1, 9, 10, 1],\n [-1, 5, -9, 1, 6, 0, 12],\n [10, 5, -2, -7, -4, -1, 6],\n [1, 2, -2, -7, 1, -10, 6]]\nB =\n[[7, 12, -2, 11, 4, 4],\n [10, -10, 1, -6, 12, 6],\n [-10, -11, 4, -4, 9, -7],\n [11, 8, -4, -8, -11, 9],\n [2, -4, 6, -3, -9, -3],\n [-5, 9, 0, -6, -6, -9],\n [2, -1, 3, -7, -4, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "530", "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, -9, 0, 6, -6],\n [-3, 12, -1, -10, 12, 11],\n [-1, 6, 2, -5, -1, 7],\n [-7, -3, -11, 11, 0, 12],\n [-6, -5, 10, 3, -2, -9],\n [4, 3, 6, 10, -2, -6],\n [0, 6, 4, 12, 9, 0]]\nB =\n[[-1, -6, -12, -12, 7, 10],\n [1, 2, -2, 11, -4, 4],\n [-9, 7, 6, -6, -12, -4],\n [0, 11, -11, -11, 11, 2],\n [4, 0, -6, -4, -1, -10],\n [10, 9, 2, -6, 10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4231", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 6, 3, -3, -12, -8],\n [-10, 4, 5, 8, 6, 9],\n [12, 9, 5, 3, -11, 2],\n [0, 0, 3, -5, -2, -5],\n [9, -3, 10, -12, -1, -4],\n [-8, -4, 3, 5, -5, 10],\n [-2, 7, 6, -9, 7, -3]]\nB =\n[[11, 0, 7, 1, 8, -11, -9],\n [-6, 6, 4, 3, 0, 11, 11],\n [9, 10, 5, 8, -1, 10, 12],\n [-12, 2, -10, -7, 1, 10, -7],\n [-12, 7, -7, -5, 2, 1, 3],\n [7, 10, 3, 6, 11, -12, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2933", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, -3, 7, 5, -11, -9, 2],\n [-9, 3, 2, 5, -6, 2, 9],\n [-2, 6, -5, 11, -12, -10, -8],\n [5, -1, -1, 8, 6, -4, -2],\n [4, 3, -9, -3, 9, 2, 12],\n [6, -10, 8, 10, -8, -2, 11]]\nB =\n[[-8, -6, -7, 0, -11, 6, -2],\n [7, -8, -4, -7, 4, 6, 10],\n [-5, -6, -8, 2, -3, 11, 3],\n [-4, -6, -2, -4, 4, -4, -10],\n [9, -5, 6, 7, 3, -6, -6],\n [7, 12, 0, -10, -1, 11, -5],\n [0, 7, 3, -6, -9, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1902", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 4, -11, -7, -1, -2],\n [8, -2, 5, -5, 12, -6],\n [1, 3, -1, -4, 7, 10],\n [8, 3, 8, 6, 3, -4],\n [0, -8, 9, 6, -3, -6],\n [-4, 12, 1, 2, 0, -3],\n [1, 8, 10, -1, 6, -7]]\nB =\n[[-1, 11, 0, -5, 3, -11],\n [9, -6, -1, -6, 6, 1],\n [-4, 5, -2, 3, 6, -2],\n [5, -2, 12, -9, 5, 6],\n [0, -9, -3, 9, -8, -10],\n [3, -5, 11, -6, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-555", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, 4, 8, -12, -7, 10],\n [2, -1, 8, 7, -11, -8],\n [-4, 7, 1, 5, 9, -5],\n [-11, -4, -6, 5, 3, 8],\n [-8, 10, 2, -8, -2, 9],\n [1, 12, 6, -10, 11, -3],\n [-7, -10, -11, 0, 5, -11]]\nB =\n[[2, -8, 2, 8, 4, -11, 5],\n [2, 7, 10, -10, -8, -2, -4],\n [-8, 12, -12, 12, 1, -8, -5],\n [8, 1, 3, -7, -5, -11, 6],\n [-4, -8, -8, 12, 6, -9, 3],\n [3, 3, -6, 5, 11, 8, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "126", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 12, 8, -5, -12, -6],\n [-6, -5, 6, 4, -2, 2],\n [-4, 4, -2, -7, -4, 5],\n [7, -11, -9, 5, -12, -2],\n [-10, -5, -8, 7, 8, 9],\n [9, -8, -2, -1, 9, -4]]\nB =\n[[8, 0, 9, 7, -10, 0, 9],\n [-2, -2, 8, 7, 8, -6, 4],\n [3, 1, -12, -2, 0, -12, -11],\n [-4, 0, -8, -4, 0, -8, 2],\n [-6, 1, 3, -7, -11, 3, 6],\n [-8, -9, 1, -7, -5, 11, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-343", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -12, -11, 0, -4, -1, -3],\n [-3, 5, -1, 9, 3, 10, -7],\n [11, 12, 11, 8, 11, -3, 2],\n [-4, 11, -11, 5, -1, -10, -6],\n [-4, -5, 12, -7, -12, 1, 3],\n [3, -9, -7, 2, 9, -5, -12],\n [0, 5, 5, 0, 9, 1, -2]]\nB =\n[[-6, 5, 8, 9, -9, 4],\n [6, 1, -3, 12, -7, 5],\n [12, -9, -2, 0, -5, -3],\n [10, -2, -10, 2, -5, 7],\n [5, 8, -12, 11, -5, -10],\n [-12, 7, 12, 3, -4, 4],\n [3, 10, -7, 10, -6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4570", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -5, -3, 1, -2, -11],\n [-1, 7, 7, 0, 2, -1],\n [0, -5, 3, -10, 0, -1],\n [6, -11, -12, -5, -4, 12],\n [-5, 8, 4, -4, -7, 2],\n [10, 11, 0, 8, 9, -1],\n [0, -6, 10, 5, 1, -2]]\nB =\n[[1, 4, 11, 8, -11, 6, 3],\n [9, -3, 9, -5, 8, -8, -6],\n [0, 3, -8, 3, 2, -4, 9],\n [10, -1, -5, 0, -8, 1, 3],\n [-2, 7, -1, 2, 11, -1, -4],\n [-12, -10, -1, 7, 0, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "341", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -3, 3, -12, 3, -9],\n [-7, 6, -11, 5, -3, -9],\n [-12, 2, -3, 5, 3, 0],\n [2, -11, 7, -9, -12, -6],\n [10, -2, -3, -12, -2, 11],\n [-3, 1, 1, -6, 10, -2]]\nB =\n[[9, -9, 11, -11, -6, 6, 1],\n [6, -6, -1, -10, 2, -8, -5],\n [1, -9, -6, -6, 5, 1, -5],\n [-1, -3, 1, -4, -7, -8, -12],\n [-12, 12, 7, 4, -2, -1, -10],\n [-7, -2, 0, -2, -5, -3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1693", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[11, 1, 3, 4, -2, -11, 11],\n [10, -8, 3, 3, -11, 3, 12],\n [-8, -5, 7, 1, 12, -3, 10],\n [-11, -10, 5, 8, -11, 8, -4],\n [-11, 12, -6, -6, 1, -8, -5],\n [10, 9, 5, -7, 1, 5, 4],\n [-4, 0, 3, 8, -3, -3, -9]]\nB =\n[[-1, -5, 2, 8, 10, 6],\n [2, -5, -5, 6, -4, 11],\n [4, -5, -1, 2, -9, -7],\n [3, 12, -8, 10, 0, 2],\n [4, 12, 9, 7, 9, -8],\n [6, -6, -10, 0, 1, 3],\n [0, -11, 1, 7, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3960", "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, -4, -3, -6, 1, 12],\n [1, 12, -11, 4, 7, -9],\n [0, 5, -10, 6, -8, -12],\n [-4, 11, -5, -10, -11, -12],\n [-1, 9, 0, -3, 4, -2],\n [-8, 12, -4, 0, 7, 10]]\nB =\n[[-2, 10, -9, 8, -2, -4],\n [-6, 3, 10, 10, 12, -8],\n [-7, 6, -12, 3, 5, 11],\n [0, -12, -3, -6, -8, 0],\n [9, 3, 11, 7, 9, 1],\n [-2, 6, 10, -11, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3941", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -1, -5, 3, 5, 6],\n [-9, 12, -1, 3, 8, 9],\n [4, -9, 7, 11, 11, 9],\n [11, -4, -8, 4, 4, -11],\n [-11, 8, 10, -6, -9, 0],\n [7, -2, -10, -11, 3, -10],\n [11, 2, 4, 3, 7, -6]]\nB =\n[[3, -8, -11, -12, 9, 0],\n [3, -8, -10, 2, 3, -2],\n [12, 6, 5, 8, -4, -5],\n [9, 6, 9, -8, 4, -8],\n [1, -6, -4, 4, -10, -5],\n [9, 0, 3, 8, -3, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-833", "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, -1, 3, 5, 4, -6, 6],\n [10, 10, -5, 4, 8, 12, -6],\n [-12, -5, 6, 7, 7, -3, -1],\n [11, -12, 11, 12, 12, 8, -9],\n [-9, -4, 2, 11, 2, -6, -1],\n [-10, 7, -4, 1, 0, 11, -1],\n [-12, 6, 3, -1, -3, -11, 5]]\nB =\n[[0, 11, -7, -1, 9, -9, -12],\n [-2, 10, -5, -11, -11, 3, -12],\n [-9, -7, 8, 7, 1, 7, 2],\n [-6, -6, 5, 10, -11, 7, 2],\n [-12, 8, 4, 7, 12, 0, -1],\n [11, 9, 2, 11, -8, -6, -5],\n [10, 1, -9, 8, 1, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7184", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 7) when matrix A is multiplied by matrix B?\nA =\n[[3, -2, 9, 12, 1, 1],\n [-11, 9, 0, -10, 5, 9],\n [-9, 8, 8, 6, 3, -9],\n [6, 10, 2, -12, 3, 2],\n [3, 9, 7, -12, 4, -8],\n [-8, -6, 0, -1, -9, 12]]\nB =\n[[-9, 10, 8, 8, -7, 11, 2],\n [8, 6, -7, -1, 1, 5, -1],\n [11, 11, 2, 6, -5, -4, -8],\n [-8, -7, 10, -10, -8, -12, -2],\n [8, 7, -12, -6, 2, 4, -5],\n [-11, 0, -1, -8, 0, -7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-81", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[2, 10, 9, 8, 9, -2],\n [-9, -12, 2, -1, -4, -2],\n [-8, 11, -6, -5, -12, 12],\n [-12, -10, -5, -2, -12, 1],\n [-12, -7, 8, -7, -10, -3],\n [-1, -3, 9, -11, 11, 9],\n [0, 3, 0, -9, -9, -2]]\nB =\n[[10, 1, -10, 6, 9, 12, -12],\n [-8, 4, -12, 6, 6, -9, 6],\n [-7, 2, -9, 11, -12, 11, 4],\n [-2, 4, 10, -12, -4, 1, 2],\n [11, -12, -11, 5, 5, -7, 7],\n [-5, -12, 2, -3, -9, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5409", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-8, -4, -8, -2, -10, -9, -3],\n [-6, -12, -7, -5, 4, 11, -6],\n [-12, -4, -2, 6, -11, 10, -2],\n [-10, 4, -3, -10, 9, -10, 8],\n [12, -6, -11, -12, -6, 7, -2],\n [10, -7, 10, -9, 6, 8, 6],\n [1, -10, -9, -5, 5, -9, -2]]\nB =\n[[3, -10, -6, -11, -12, -12, -7],\n [6, -6, 11, -8, 8, 5, 11],\n [0, -12, -3, -4, 4, -12, -12],\n [-6, -9, 10, 8, -1, 3, 1],\n [10, -3, 1, -6, -9, -11, 11],\n [5, 3, -4, -8, -4, 12, -5],\n [11, 7, 3, 7, 5, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-299", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, -7, -10, 5, 2, -5, 5],\n [11, 10, -10, -7, 9, 8, 11],\n [2, -1, -8, -6, 9, 2, -6],\n [0, 12, -10, 10, 0, -10, -11],\n [10, -9, 4, -7, -2, -7, 9],\n [-11, 4, -10, -1, 1, -11, 9],\n [9, -8, -3, -3, 8, -4, 8]]\nB =\n[[0, -3, -7, -2, -9, 1, 4],\n [7, -11, -3, -10, -6, -6, -12],\n [-5, 10, -12, -5, 1, 1, -11],\n [-5, 6, -3, -6, 0, 9, 8],\n [2, -2, 1, -2, -11, -11, -1],\n [2, 4, 1, 12, 3, -5, 11],\n [4, -8, -1, -7, 5, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1281", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[-4, 2, -3, 4, 6, -1, -4],\n [2, 1, -12, 4, -12, 10, 8],\n [9, 0, -5, 0, 3, -11, 0],\n [5, -10, 0, 6, 0, 6, -9],\n [6, 5, 12, -7, 6, 12, -9],\n [-9, 11, -6, -6, 10, 3, 3]]\nB =\n[[-8, 2, 10, -9, 11, 12],\n [0, 6, -6, -1, -4, 4],\n [-11, 3, -6, 5, -6, -12],\n [-10, 8, -2, 9, 2, 12],\n [12, -10, 11, 0, -9, 10],\n [9, -5, 9, -9, 5, -6],\n [-2, -9, 0, -4, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-80", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 6, -10, 12, 12, -1, -2],\n [7, -2, 4, 8, 1, 3, 11],\n [-3, -9, -3, 7, -1, -4, 2],\n [-4, -6, 11, -1, 7, 11, 1],\n [9, 3, 6, 10, -10, -2, 10],\n [8, 7, 6, -5, 7, -5, -10],\n [-3, 0, -4, -7, 2, 3, -8]]\nB =\n[[8, 0, 6, -11, -7, -12, 2],\n [2, 1, -6, -8, 7, 12, 3],\n [4, -2, 2, 7, 3, -10, -7],\n [8, 10, 0, -12, 8, 1, -11],\n [-11, 2, 5, -4, -10, -9, 2],\n [-8, 7, 7, -8, -3, 3, 12],\n [-1, 12, 1, 9, -2, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4739", "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, -10, 9, 2, -2, 9],\n [-11, 12, 11, -7, 4, 5, -9],\n [10, -4, -3, 8, -11, -2, -2],\n [-2, -12, 1, -12, 8, 10, 12],\n [-4, 11, -12, 8, 9, 9, -9],\n [-12, 6, -3, 2, 7, -9, 7]]\nB =\n[[1, -8, 2, 2, 12, 3, 3],\n [-9, 12, -4, -12, -8, -4, 7],\n [-8, -9, 3, -11, 3, 5, -11],\n [3, -12, 3, -10, 2, -2, -3],\n [4, -9, 4, -9, 6, 12, -12],\n [1, 11, -2, 12, -6, 4, -9],\n [-3, 4, -9, 6, 5, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4541", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -7, 12, -1, -4, 5, -11],\n [12, 4, 8, -12, 10, -4, -7],\n [-11, -7, -4, -10, 3, 12, 11],\n [2, -1, 10, -5, -7, -10, 10],\n [-9, -3, 1, 8, 11, 2, -6],\n [-6, -5, -3, 6, 6, -11, 2],\n [-12, -3, -7, 9, 0, -3, -1]]\nB =\n[[11, -7, -7, -12, -1, 10, 10],\n [-3, 12, 1, 2, 10, 11, -9],\n [12, -12, -5, -10, 1, 4, -11],\n [2, -7, -8, 1, 6, -4, -5],\n [-10, 5, -5, 3, 2, 8, 2],\n [3, 12, -12, -3, 6, -8, 5],\n [-10, -9, -9, -2, -4, -12, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-794", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, -4, -2, -7, 4, -1, 9],\n [-5, 3, -8, 8, -12, 4, 11],\n [8, -5, -3, 5, 2, 7, 0],\n [-3, -4, 0, -10, 9, 10, -10],\n [-12, -11, -2, 1, -3, -6, 10],\n [-12, -6, 2, -2, -7, 9, -6],\n [-6, -12, -3, 8, 2, -5, 11]]\nB =\n[[6, -10, 10, 2, -9, -7],\n [12, -3, 5, 3, 5, -7],\n [6, 4, 5, 0, -6, 7],\n [-1, -11, -1, -1, 11, -9],\n [-9, 5, 3, 1, 4, 4],\n [-10, -7, 10, 0, -4, 8],\n [-4, -5, 4, 3, 3, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-580", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, 3, 12, 1, 7, 1],\n [1, 1, -1, -7, 7, 0],\n [3, -4, -11, 9, -10, -3],\n [7, -11, 11, -3, -5, 4],\n [9, -12, -7, -6, 2, 5],\n [-4, -5, 12, -3, -9, 7],\n [-5, -12, -5, 10, -1, 10]]\nB =\n[[12, 2, 0, 3, 10, 5],\n [-12, 4, 3, 10, -8, 7],\n [8, -3, -7, -1, -3, 9],\n [4, -11, 6, 7, -7, 0],\n [-4, -1, 5, -5, 12, 5],\n [12, 10, 12, 9, -11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1116", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -4, 11, 5, -5, 6, -10],\n [-4, 0, -4, 12, 7, -1, 10],\n [0, -5, 2, 0, 8, 0, 4],\n [2, 12, 9, 6, -10, 1, -3],\n [4, -5, 5, -1, 4, 10, -2],\n [-4, 9, 11, 11, 12, 10, 12],\n [2, -4, -1, -2, 4, -7, -5]]\nB =\n[[-3, 12, 2, -9, 5, -2, -4],\n [-4, -5, -10, 8, 5, 1, -10],\n [4, -9, 8, 5, 2, 6, 9],\n [-7, 2, -6, -1, 3, -4, 7],\n [-8, -2, -11, 9, 3, -9, -8],\n [-6, -7, 11, 9, -3, 1, -5],\n [1, 1, 7, 10, -10, -12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "29", "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, -11, 3, -5, -7, 10],\n [0, -12, 6, 2, -12, -3, -12],\n [-1, -2, 4, -9, 10, -6, -1],\n [0, -8, -7, -11, 8, -6, 1],\n [12, 9, 1, -3, -9, -10, 12],\n [10, 1, -7, 10, 2, -5, -8],\n [-10, -10, 0, -11, 11, -12, -1]]\nB =\n[[-5, 6, -4, 1, 5, -3, -4],\n [-7, -12, -8, -3, 12, 0, 9],\n [10, -9, -12, 8, -11, 11, -9],\n [4, -3, 10, -1, -11, -10, 1],\n [12, 2, 0, -4, -11, 6, 3],\n [-2, -1, 12, -12, -11, 3, -11],\n [6, -3, 6, -3, 3, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5869", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the product of the following matrices:\nA =\n[[5, 11, -5, 11, 5, 0, 12],\n [-6, 8, 10, 11, 12, 5, -7],\n [-4, -7, 5, 4, -1, -10, -8],\n [-6, -3, -3, 6, 12, -9, -3],\n [5, -10, 8, -10, -8, 3, 7],\n [0, -2, 0, 6, -7, 11, 0]]\nB =\n[[-9, 12, 9, -8, 6, -8, 8],\n [1, -9, -1, -7, 6, -3, -12],\n [10, 10, 3, -9, -4, 5, 4],\n [2, 6, -6, 12, 5, -7, 6],\n [8, -1, 12, -10, -12, -8, -12],\n [-5, -6, 2, -2, 5, 1, -4],\n [-8, 10, -9, -1, -12, 11, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-96", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-12, -10, 9, -5, 11, 5],\n [12, 3, 7, 7, 3, -11],\n [4, -3, -6, -3, 6, 7],\n [-4, 9, 4, -4, -4, -8],\n [11, -6, -2, -5, 12, 1],\n [-11, -3, 8, 11, 3, 3]]\nB =\n[[6, -2, -7, -7, -6, 3],\n [0, -10, 11, 11, -4, 11],\n [-10, -7, 12, 4, -10, -11],\n [-1, 11, -7, -3, -2, 3],\n [3, 11, 5, 9, 10, 11],\n [-4, 8, 6, -11, 11, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4400", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 9, 5, -10, 11, -12, -7],\n [6, 9, 6, -2, -5, -8, 7],\n [-4, 2, 8, 1, -9, 11, 11],\n [-5, 7, 4, -11, 7, 3, -3],\n [-11, -2, -3, 6, 12, 12, 1],\n [-2, -4, -6, 2, 7, 4, -10]]\nB =\n[[2, 1, -5, -9, -3, -11, 1],\n [-5, 10, -3, 12, 5, 2, -8],\n [9, 0, 5, -11, 0, 1, -3],\n [-9, 2, -5, 2, 1, 8, -4],\n [7, -10, 2, 11, 4, 12, 3],\n [-9, -2, 12, -5, -10, 6, 1],\n [-4, -10, -9, 12, -9, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4080", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 10, 9, 4, -3, 11, 4],\n [3, 7, 9, -7, -6, 1, -2],\n [-1, 1, -8, -8, 7, 9, 10],\n [2, -12, 12, 11, 10, -4, -10],\n [-9, 3, -6, 9, 1, 3, 5],\n [3, 3, -11, -3, -6, 12, 2],\n [-4, -6, 11, 3, -10, 4, 10]]\nB =\n[[-5, -11, 12, 7, 12, -10],\n [-5, -11, 6, 4, -8, 7],\n [4, -3, -4, 9, -7, -2],\n [-11, 10, -1, -1, 3, 12],\n [9, 11, -1, 8, 5, 0],\n [2, 3, -9, -1, 4, -12],\n [9, 5, 9, 3, -12, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-480", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[6, 3, 1, 12, -11, 11, -7],\n [9, 10, -8, -1, -9, 9, 11],\n [-9, -8, -6, -7, 0, -9, 0],\n [-9, -3, 7, -12, 8, -5, -6],\n [-8, -10, 2, 4, 10, 0, 2],\n [6, 7, 1, 8, 0, -1, 11]]\nB =\n[[10, -4, -10, -2, -3, -12],\n [4, 0, 1, -12, -11, -11],\n [-6, -4, 11, -9, -11, 6],\n [-8, -4, 11, 0, -1, 6],\n [-4, -3, 6, -3, -1, 1],\n [-5, 3, 4, 7, -9, -7],\n [-1, 5, -6, -8, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4180", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[1, -7, 1, -1, 9, -1, -5],\n [-3, 3, 7, -5, -4, 0, 7],\n [4, 6, 4, -6, -12, 7, 1],\n [4, 0, -11, 1, -12, -8, -6],\n [6, 1, 11, 1, 2, -8, -8],\n [8, 11, -11, 5, 11, -4, -3],\n [5, -9, -5, 5, 7, 4, 3]]\nB =\n[[5, -6, -12, -12, 5, -9],\n [10, 7, 8, 7, -9, 12],\n [-7, -10, -7, 0, 10, -6],\n [11, -9, -12, -7, 11, -8],\n [0, 6, -9, 11, -7, 0],\n [-8, 0, 12, -3, -10, 10],\n [12, 0, -1, -9, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-40", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -4, -12, 5, -4, 8],\n [7, 12, -4, -11, 6, 3],\n [-10, 3, 8, 0, -10, -3],\n [9, 5, -7, -7, 5, -7],\n [-7, 9, 0, 1, 8, -6],\n [0, 2, -1, 8, -12, 12],\n [-10, 5, 9, -5, -11, -9]]\nB =\n[[5, 12, 0, 2, -11, -3],\n [-11, 8, -1, -8, -1, 10],\n [-12, -11, 3, 9, -11, 3],\n [7, 3, -7, 0, -1, 10],\n [-3, -8, -5, -7, -8, 7],\n [9, -7, 9, 4, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "302", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[-8, 10, 4, 4, 0, 9, -6],\n [9, 8, -7, 1, 3, -10, -4],\n [2, 8, 5, -3, -3, 10, -10],\n [-12, -10, 12, -8, -6, -10, -9],\n [4, -10, 10, -9, -11, 1, -8],\n [8, -11, 2, -2, 9, -3, 7]]\nB =\n[[-12, 6, 1, 12, 10, 9],\n [1, -12, 12, -4, 4, 1],\n [0, 0, -7, -6, -11, -5],\n [11, -7, 12, -10, 5, 5],\n [9, 10, -7, -2, -10, 3],\n [-8, 11, 9, -11, 2, 3],\n [-6, 3, 11, -9, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-11, 3, -9, -6, 5, -7],\n [5, -6, -11, 6, -4, -9],\n [1, -8, 12, -6, -5, 2],\n [6, -2, 7, 10, -9, 5],\n [1, -7, 12, 3, 5, -12],\n [-5, -12, -12, 6, 8, 12],\n [-3, 5, -1, 4, -12, -5]]\nB =\n[[-3, -3, 5, -4, 12, -11],\n [-10, -11, -7, 10, -1, 9],\n [6, 2, 6, -1, 5, 3],\n [-11, -2, -1, -8, 11, -7],\n [12, -2, 8, -3, -9, -4],\n [-1, -3, 1, -8, -12, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "356", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[3, -8, -8, 5, -7, 8, 5],\n [-3, 2, 11, 9, -2, 6, 12],\n [0, 7, -10, 3, -6, -1, 2],\n [-5, 10, 4, -12, 8, -5, 1],\n [-3, 6, -5, 6, -9, -3, 10],\n [-10, -9, 3, 11, -9, 12, 7],\n [7, 0, 8, 4, 10, 12, 3]]\nB =\n[[12, 4, -7, -10, 7, 11, -9],\n [-5, 7, -4, 9, -12, 0, -11],\n [10, -3, 10, 6, 4, 11, 0],\n [1, -2, -3, -6, -3, 11, -12],\n [1, -10, 0, -11, 4, 8, -10],\n [2, -5, -7, -4, 12, -2, 9],\n [-11, -4, 5, 6, 9, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5769", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -1, -9, 2, -2, 6, -8],\n [-7, 0, 10, -3, 11, 12, 1],\n [-9, 7, 10, -1, 2, -3, -2],\n [-4, -2, -11, 0, 9, -5, 8],\n [8, -5, -12, -7, 0, -4, -7],\n [2, 10, 3, -9, 4, -4, -1]]\nB =\n[[9, 6, 7, -1, 9, -7],\n [-1, -4, 7, -8, 8, -10],\n [-11, -5, -3, 2, -4, -3],\n [-2, -4, 1, -8, -4, -9],\n [-11, 6, -12, 8, -12, -1],\n [-2, -12, 1, -2, -6, -11],\n [2, -5, 9, 7, 12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3448", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -3, 6, -10, 7, 1],\n [-4, -4, 8, 12, -7, -5],\n [-2, -5, -1, -3, 10, -9],\n [3, 7, -7, -4, 10, -8],\n [8, 11, -7, 4, 4, 12],\n [11, 9, 0, 4, 1, -11],\n [6, -10, -11, -11, 9, -6]]\nB =\n[[-9, 4, -7, -6, 7, -7],\n [-4, 7, -9, -8, 6, -3],\n [5, 2, 12, -12, -8, -8],\n [-5, 9, 9, 9, 7, 2],\n [4, 6, 0, 9, 8, -3],\n [4, -8, 5, 4, -9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "185", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-6, 12, -8, -5, -5, -2],\n [-4, 6, 6, -4, 10, 7],\n [4, 3, -6, 9, -10, 8],\n [6, -5, -8, -7, -11, 11],\n [12, 6, 0, -7, -7, -11],\n [11, -8, -2, -2, 11, 1]]\nB =\n[[0, -5, 2, -1, -10, 8],\n [10, -8, -7, -11, -5, -8],\n [9, 4, -11, -2, -9, -2],\n [-4, -7, 11, -11, 2, -8],\n [-1, 0, 4, -9, -3, -12],\n [-2, 3, -2, -4, -11, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "45", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 5, 7, -6, 10, -4, -1],\n [-10, 10, 9, 3, -6, 10, -8],\n [12, 10, -6, 6, 4, 3, 8],\n [11, 8, 6, 12, 5, 6, -9],\n [-12, -9, -9, -4, -5, -11, 10],\n [-7, 10, -2, -9, 1, 8, 9]]\nB =\n[[-4, -11, 12, -12, -9, -1, -8],\n [-4, 9, -9, 3, -11, 3, 3],\n [8, 11, 11, 9, -2, -12, 2],\n [11, -9, 5, 4, -6, 5, 0],\n [7, 7, -3, -12, -11, 4, 9],\n [-10, 4, -1, 11, -1, 7, -3],\n [-6, -3, 5, 9, -7, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[-1, 4, 5, 1, -2, -11, 8],\n [-12, -2, -11, 3, 9, -10, 7],\n [-12, 8, 7, -5, 6, -12, -8],\n [-12, -2, 8, -4, -8, -11, 0],\n [5, 12, -1, 1, -8, 11, -3],\n [7, -11, -9, -1, -2, -9, -2]]\nB =\n[[-4, -3, -7, 2, -3, 9],\n [8, -7, -12, 8, 9, 11],\n [7, 8, -9, 10, 9, 1],\n [7, 9, 7, -5, -2, 2],\n [6, -5, 0, 5, 9, 11],\n [4, -7, 12, 2, 0, 5],\n [-2, 0, -12, 5, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "34", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 1) of the result:\nA =\n[[-12, -6, -9, -4, 2, -7],\n [12, 4, 7, 5, 9, -9],\n [-4, 1, -10, -12, -2, -12],\n [-1, 12, -4, -8, 2, 5],\n [-4, 0, 0, 11, 0, -3],\n [-3, 9, -6, 9, -8, 7]]\nB =\n[[-6, 7, -3, -3, 12, 8],\n [11, 0, 2, -7, 7, -1],\n [6, -2, -7, -12, -11, 10],\n [2, -9, -8, 2, -2, -3],\n [4, -11, 7, 11, -3, 7],\n [-10, 6, -8, -10, -5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 1, -6, -2, -5, -8],\n [-5, -1, 2, 6, 3, 1],\n [-6, -5, -6, 5, 11, -7],\n [6, -9, 10, -10, 4, 9],\n [6, 2, -7, -1, 6, -7],\n [-2, 7, 7, -3, 3, 5]]\nB =\n[[1, -9, -1, 7, 10, 8, -5],\n [-6, -4, 11, 12, 4, -3, -10],\n [8, 12, -5, 1, -6, 3, 5],\n [-2, -7, 7, 8, 1, 8, 0],\n [-9, 7, 7, -2, 5, -12, -1],\n [5, -6, -1, -12, 9, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 2) of the product matrix AB given:\nA =\n[[2, -10, -6, -7, 2, 2, -7],\n [-5, -5, 9, -12, 0, 10, 11],\n [8, 0, -2, -9, -6, -1, 0],\n [9, -1, 3, -7, 1, 6, 3],\n [-9, -8, -4, 11, -10, 9, -3],\n [4, 6, -3, -1, 10, -6, 5]]\nB =\n[[6, 2, -6, -1, 9, -6, -3],\n [12, 11, 9, 7, -3, 12, 10],\n [-8, 5, -4, 3, -6, 12, 12],\n [-3, -8, -6, -8, 2, 6, -3],\n [-5, 11, -4, -2, 9, -11, -10],\n [0, -2, -3, 2, -7, -12, 1],\n [5, 11, -2, -5, 9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-11, 3, -7, -12, 1, -3, -7],\n [-4, -6, 12, -11, -2, 1, -8],\n [-4, -6, 12, 1, 3, 9, 3],\n [-6, -3, 8, -7, 4, -12, -11],\n [1, -9, -4, 10, -7, 4, 8],\n [-2, -9, 8, -4, 3, -10, -9],\n [11, -10, 0, 6, 12, 8, -12]]\nB =\n[[10, 10, -7, 9, -10, -10],\n [3, -3, 12, 4, -6, 0],\n [-2, -3, -6, 11, -7, 11],\n [-12, 4, 12, -1, -9, -10],\n [-7, 3, 0, -4, -2, 7],\n [12, 8, 0, 10, 6, -10],\n [-1, 6, -5, 1, 9, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-378", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[12, 11, 4, -7, -9, -9, 6],\n [-1, 12, -11, 4, 2, -3, -10],\n [7, -9, 9, -12, -12, 5, -9],\n [10, 9, 2, 12, 10, 8, 9],\n [-3, 12, 4, 12, 9, -1, 7],\n [-1, 3, -8, 3, 4, 10, 2],\n [0, -5, 8, -11, -5, -3, -6]]\nB =\n[[-3, 12, -9, -2, -4, -9, -10],\n [-2, -10, 5, 6, 1, 11, -2],\n [11, -11, -11, -11, -3, 10, 2],\n [9, -1, -2, 4, 5, 1, 4],\n [2, -1, 3, 10, -7, -11, -11],\n [3, -11, -5, -6, -12, -9, -2],\n [7, -6, 5, -9, 4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5459", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 7) when matrix A is multiplied by matrix B?\nA =\n[[7, -2, 2, 1, 4, -11],\n [5, 3, -1, -3, 3, -10],\n [-5, 9, 9, 12, 11, -11],\n [9, -12, 1, 12, -9, -9],\n [-4, -10, -8, -12, 9, 6],\n [-12, -3, 9, -1, -3, -11],\n [3, -5, 1, 2, 3, -2]]\nB =\n[[-1, -11, -9, -10, -4, 5, 6],\n [-6, -9, -7, 6, -12, 3, -2],\n [9, -9, 5, 10, -8, 9, -7],\n [12, -11, -1, 9, -4, 7, -1],\n [0, 9, 10, 4, -8, 7, 0],\n [0, -3, 2, 2, 5, 5, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-7", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, -2, 0, -2, -9, 2],\n [9, 10, 12, -2, 5, 3],\n [-3, -1, 0, -4, 8, 0],\n [-7, -7, -2, 6, -2, -3],\n [10, 2, 0, 10, -5, -8],\n [-11, 3, 0, 6, -4, 2],\n [-7, -5, 11, 1, -8, 4]]\nB =\n[[9, -6, -4, 3, 5, 0, 5],\n [-3, -12, 8, 5, 6, -11, -9],\n [-2, -10, -4, -3, -11, -6, 2],\n [6, -3, 11, 7, 1, -9, 12],\n [-2, -10, 10, 4, -6, -2, 5],\n [1, 1, -7, -4, 9, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-312", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[-1, -9, 7, 3, 11, -3, -6],\n [-3, -6, 10, 5, -4, 9, 5],\n [4, -2, -12, 4, -9, -9, 1],\n [-4, 0, 3, -12, -10, 6, -5],\n [5, -7, 7, -7, -8, -1, -4],\n [-4, 4, 6, 4, 9, 3, -1]]\nB =\n[[-10, 1, 4, 9, 3, 8],\n [-1, 11, -11, -5, -1, 8],\n [3, -5, 3, -3, 7, 2],\n [-9, 2, -9, -2, -7, -9],\n [-4, -4, -10, 10, -8, 2],\n [-4, -11, -10, 8, -1, 3],\n [-8, -3, 2, 1, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 3, -5, -5, 4, 4],\n [-10, -12, 4, 11, 3, 4],\n [12, -11, 12, 1, -6, 12],\n [6, -12, 4, -3, -7, -6],\n [12, -7, -8, -11, 5, 11],\n [4, 11, 10, -6, 8, 6]]\nB =\n[[-6, 10, -6, 3, -1, 2, 2],\n [-2, -11, -10, 6, 7, 12, 2],\n [3, -12, 2, -1, -6, -6, -2],\n [7, -2, 4, -10, 3, -8, -11],\n [10, -6, -3, -8, 2, -1, -3],\n [9, 4, 7, 7, -2, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4556", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 7) of the product of the following matrices:\nA =\n[[-11, 4, 10, -7, 8, 0],\n [-5, -2, 2, 0, 5, 5],\n [12, 4, 9, 0, -10, 8],\n [11, -6, -1, -9, 11, -2],\n [1, 5, -6, -8, 3, -2],\n [9, -10, 3, -2, -3, 10]]\nB =\n[[10, -11, 3, 4, -3, 5, -1],\n [-5, -10, 7, 11, -10, -7, -11],\n [-10, 4, -4, -9, 9, 10, -11],\n [11, -4, 1, -2, -11, 8, -11],\n [-8, -6, 9, -9, 1, -11, 10],\n [-1, -3, 12, -12, 6, 10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[2, 1, -4, 8, 10, 2, -6],\n [-9, 8, 5, -5, -1, 2, 2],\n [4, -11, -1, -10, -6, -7, 1],\n [10, -8, -9, 2, -6, -10, 0],\n [-3, 10, -11, -1, 11, 9, -1],\n [6, 6, 8, -10, -7, -11, 11],\n [0, -4, 0, 10, 1, 6, -2]]\nB =\n[[1, 3, -3, 7, 3, -11, 12],\n [3, 1, 8, 5, -7, -6, 0],\n [-11, 2, 4, 0, -6, -12, -10],\n [7, 5, -6, 8, 4, -1, 3],\n [11, -3, 10, 3, 7, 5, 2],\n [10, -2, 5, -7, -12, 10, -6],\n [-1, 7, -9, -3, 8, -11, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 7, -2, 12, 1, -10, 12],\n [-12, -6, -9, -6, 3, -3, 2],\n [3, -7, -9, -9, 11, 10, -9],\n [9, 9, 4, 0, -11, 7, -7],\n [9, -12, -5, 5, 8, -9, -8],\n [-8, 2, -3, -5, -6, -1, 12],\n [-2, 0, 2, 4, 9, 9, 5]]\nB =\n[[-5, -7, -2, -4, -8, -6],\n [9, 2, 8, 9, -9, 6],\n [0, -12, -12, 9, 1, -4],\n [11, -1, 5, -4, -5, 1],\n [-4, 7, 12, -11, -12, 0],\n [12, -3, -5, -6, 11, -1],\n [4, 12, -1, 3, -3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "449", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, -2, 12, 1, 9, 7],\n [0, -11, 7, -6, -12, 12],\n [-10, 7, -1, -8, -1, -10],\n [7, -8, -12, 3, -4, -3],\n [-3, 0, 3, 7, 12, -9],\n [1, 4, -8, 0, 12, -10]]\nB =\n[[-8, 3, 6, 6, 4, 5, 5],\n [12, 10, -5, 5, -4, 6, -3],\n [-11, 4, 12, 11, 0, -2, 3],\n [7, -6, -10, 3, 6, 7, 3],\n [-11, 1, 7, -3, 6, 11, -2],\n [5, -2, -4, 6, 7, -3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3566", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 11, -5, -7, 7, -12],\n [7, 11, -7, -11, 6, -6],\n [-2, -2, -9, 7, 3, -8],\n [11, -6, 12, 3, 2, -8],\n [-12, 7, 9, 9, -4, 8],\n [-8, 9, -7, -10, -7, -5],\n [-7, 3, 3, 8, -10, 4]]\nB =\n[[8, -7, -7, 9, 6, 7],\n [2, 6, -11, -5, -6, -5],\n [0, 9, 2, -1, 2, 1],\n [-6, 4, -8, 7, -3, 6],\n [5, 12, 11, -3, -11, -7],\n [-10, 6, -8, -6, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4139", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-12, -2, 10, -6, -7, -7, 0],\n [3, 0, -11, 6, 6, 6, 5],\n [12, -7, -11, 6, -7, 7, 10],\n [9, 2, -7, -10, -2, -5, 12],\n [9, 5, 4, 6, 6, 11, 8],\n [4, -9, -6, -8, 3, -7, 1],\n [7, -11, 12, 5, 5, 0, 5]]\nB =\n[[4, 0, -1, -10, 9, -6, -12],\n [-8, 8, -12, -9, -12, 0, 1],\n [2, 4, -1, -6, 10, 6, 10],\n [-10, 5, -9, -10, -1, 10, -1],\n [4, -7, 2, -11, -5, 1, -8],\n [-10, -3, -6, -2, 2, -11, -8],\n [-2, -5, 0, -2, 4, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "229", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 3, 6, 0, 10, 9, 10],\n [-9, -2, 5, 5, -3, 4, 0],\n [12, 1, -6, -3, -10, -11, 6],\n [-6, -8, -10, 12, -11, 10, 9],\n [-7, 1, -6, 9, -11, -2, 8],\n [-10, -4, -5, -2, 5, -12, 2]]\nB =\n[[-9, -9, -3, -2, 5, 10, 2],\n [-10, -6, -6, 4, 9, 7, 11],\n [3, 3, -5, -10, 7, 2, -12],\n [-3, -11, -6, 1, 3, 2, -6],\n [0, 12, -3, -4, -4, -7, 11],\n [12, -1, 10, 7, 7, 9, 1],\n [7, -6, -5, -5, -5, -11, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1255", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 5, 5, 5, 3, 7, -8],\n [7, -8, 7, 10, -3, 4, 0],\n [4, 5, 0, 4, 2, -1, -3],\n [0, -2, -10, 9, -3, -2, -7],\n [-12, -7, -8, -6, 9, -1, -1],\n [-6, -11, -12, 10, 12, 5, -1],\n [-6, 6, 9, -10, -3, -2, -8]]\nB =\n[[-11, -5, 1, -5, 10, -7],\n [-12, 11, -12, -5, -2, 5],\n [11, -3, -1, 7, 10, 3],\n [-8, 3, 11, -1, -7, -8],\n [-12, 6, -3, 12, 1, 12],\n [8, -10, -7, -8, 4, 5],\n [-1, -8, -4, -1, 7, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "489", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 2) of the product of the following matrices:\nA =\n[[-10, -12, 9, 2, -3, 1, -6],\n [-9, -8, 7, 3, -10, 4, 0],\n [-7, -8, 3, -2, 4, -8, -7],\n [-3, 8, -12, 8, -3, 4, -10],\n [-11, 4, -9, -11, -8, -3, -12],\n [-12, -9, -6, 1, 1, 5, -11],\n [-12, 8, 9, 3, 9, 5, 3]]\nB =\n[[10, 9, 11, -7, 12, -3, -11],\n [-6, 8, 4, -10, 7, -1, -11],\n [-6, 4, 6, -1, -4, 1, -11],\n [8, -9, 6, 8, 3, 9, 4],\n [-11, 4, 6, -5, 11, 7, -7],\n [-1, 12, 10, 5, -11, 6, 11],\n [-3, 12, -10, 12, -1, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, -8, -2, -3, -10, 10],\n [-4, -1, -7, 6, 3, 8],\n [10, 11, 1, -9, 5, -3],\n [5, -1, 6, -5, -12, 1],\n [10, -7, 1, -11, -4, -1],\n [-8, -11, 6, -6, -6, -3],\n [4, 1, -2, 7, -7, -5]]\nB =\n[[6, 6, 11, 11, 11, 4],\n [11, 11, 5, -1, -4, 10],\n [11, 3, 5, 3, 3, -9],\n [10, 9, -6, -12, 11, 10],\n [7, -12, -5, 10, -5, -3],\n [-12, 8, 12, 8, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "36", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, 6, 12, 3, -4, 7, 3],\n [7, -5, -6, -2, 8, -7, 2],\n [6, 1, 2, -7, 11, -3, 1],\n [3, 0, -2, 12, -10, -5, -10],\n [-11, 8, 1, 7, 8, 9, 2],\n [-10, -12, 2, 7, 9, -11, 5],\n [-12, -4, -10, -11, -9, 3, 9]]\nB =\n[[-12, -4, 12, -5, -7, 7, 5],\n [3, -5, 10, -9, -10, 2, -7],\n [-12, 5, 10, -2, -10, 0, 4],\n [5, 1, 12, -6, -6, 1, 11],\n [2, -1, -1, -5, 3, -4, -11],\n [1, 11, 11, 3, -8, -8, 7],\n [8, 5, 5, -8, -2, 0, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-456", "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, 12, 5, 1, -1, 1, 5],\n [7, -11, -6, 2, -3, 2, 4],\n [-2, -11, 8, 5, 12, -9, -4],\n [4, 4, 4, 3, 7, 12, -5],\n [10, 2, -12, 6, 12, 2, -4],\n [-8, 3, 0, 3, 9, -2, 0],\n [-7, 7, 4, -8, 4, -12, -8]]\nB =\n[[-8, -6, 3, 5, -7, -11],\n [0, -3, 8, 7, -2, 8],\n [-11, -5, 11, 9, 6, 7],\n [4, 3, 12, -3, -8, 1],\n [11, 6, -9, 7, 3, 11],\n [2, -4, -10, 10, -4, 5],\n [-9, 6, 11, -9, -4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4481", "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, 7, 6, -10, -3, -1, 5],\n [1, -3, -3, 5, 11, -12, 2],\n [-5, -10, 5, -4, 3, 8, 2],\n [-8, 0, 9, 7, -6, 3, -6],\n [12, 9, 3, 0, 4, -4, -1],\n [0, -4, -8, -6, -12, -9, -9],\n [3, -8, 9, -9, -7, 10, -10]]\nB =\n[[12, -5, 4, 5, 5, 12, -1],\n [12, 12, -12, 10, -1, -2, 0],\n [-10, 12, -5, -10, 4, 12, 0],\n [-3, 4, -10, 0, 9, -7, 1],\n [-3, 7, 3, 5, 0, -3, -7],\n [-3, -8, -7, -6, -2, 3, 12],\n [-1, -1, 10, 7, -8, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5672", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, -8, 8, 10, 3, 5, 6],\n [-1, -11, -3, -1, 1, 5, 6],\n [-7, -8, 3, 1, 0, 8, -11],\n [-11, -1, -12, 6, 3, -6, 8],\n [-6, 3, 12, -7, 5, -12, -12],\n [12, 1, -7, -7, -9, -1, 5],\n [-3, -10, -10, -5, 9, 10, 12]]\nB =\n[[-12, 5, 2, 12, 8, 7],\n [4, 12, -2, 0, 12, 7],\n [12, -3, 0, 4, 8, -12],\n [7, 3, 3, 8, -10, -11],\n [-7, -2, -10, -12, -2, 0],\n [-8, 5, 2, 5, 2, 7],\n [7, 7, -6, 4, -5, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5140", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 12, -3, 1, -7, 7, 9],\n [-6, -7, 4, 8, 11, -5, -1],\n [12, -9, -3, -7, -6, 8, -5],\n [-10, -5, 2, 8, -12, 0, 9],\n [5, 2, -6, 2, 12, -10, 1],\n [7, -9, -9, -10, -8, 12, -2]]\nB =\n[[-5, -11, 3, 12, -3, 5, -6],\n [-8, -6, 8, -7, 11, -12, -2],\n [0, -1, -12, 8, 2, -12, -10],\n [2, -4, 1, 10, 9, 11, -5],\n [9, -9, 7, 7, -7, -12, 5],\n [-7, 1, -2, 4, -4, 9, -6],\n [1, 4, -5, 3, -1, -1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "487", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 1, -7, -6, 10, 8],\n [4, -4, 9, 0, -4, 3],\n [-9, -11, 0, 0, 6, -1],\n [-9, -3, 3, 11, 6, -5],\n [-7, -9, -6, 1, 0, 8],\n [-8, -4, -10, -3, 2, 7],\n [8, 4, 10, 11, -7, 12]]\nB =\n[[-10, 5, -8, 0, 12, -12, 4],\n [-10, 6, 8, 7, 9, -1, -5],\n [-5, 2, -2, 7, -12, 3, 1],\n [-6, -7, 8, -9, 9, -5, 9],\n [6, 12, -10, -9, 0, 8, -11],\n [-2, 3, -3, 2, -3, -11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -11, -3, 4, -5, 3],\n [1, -3, 0, -12, -3, 9],\n [-1, 4, 11, 1, -8, 6],\n [-8, 2, 0, 4, -12, 1],\n [-9, 12, -4, 4, -10, 0],\n [-1, 3, -9, 5, 10, -10]]\nB =\n[[4, -12, 6, 9, -9, 4],\n [-6, -11, -1, -8, 3, -5],\n [10, -5, 0, 1, -2, -7],\n [3, 10, 12, 9, 12, 2],\n [3, 0, -1, 5, 5, 1],\n [-11, 9, -11, -10, 11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-444", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -1, -9, -4, 11, 4, 11],\n [3, 4, 2, 7, 9, -6, -3],\n [-9, 11, 11, 1, 1, 1, 12],\n [1, 9, 7, 5, 2, 10, 6],\n [0, -1, 6, 6, 7, -11, 8],\n [-10, -3, -8, -1, -6, -4, -11],\n [12, -3, -7, -1, -7, -10, -3]]\nB =\n[[-4, 7, -8, -10, -8, -5],\n [-5, 1, 11, 9, 4, -2],\n [3, -7, -2, -3, 10, -4],\n [11, 11, 2, -6, 5, -12],\n [2, -11, 9, -11, -3, 7],\n [2, -3, 6, 9, 0, 11],\n [-2, 9, -11, 8, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4192", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, 9, 8, -12, -8, 8, 9],\n [-6, 0, 0, 7, 10, 8, -7],\n [7, -1, -5, -4, 5, -2, 7],\n [-2, 11, 11, 2, -4, -10, 4],\n [12, 4, -10, 6, -4, 4, 10],\n [5, 10, 2, -12, -3, -5, -3],\n [-11, 6, 1, -5, 6, -12, 3]]\nB =\n[[12, 11, 2, 7, 11, -8],\n [-10, 4, -3, -8, -2, -7],\n [-9, -6, 6, -6, 1, 4],\n [10, 4, 0, -12, -11, 5],\n [-9, 0, -12, -9, -11, -9],\n [3, -9, 12, -4, 4, 8],\n [10, 7, 8, -11, -10, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-321", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[2, -6, -9, -1, -12, 4, -9],\n [-9, 9, 10, 12, -4, 8, -3],\n [6, 6, 2, 9, 4, -6, -10],\n [-8, 3, 10, -6, 3, -4, -12],\n [-10, 12, -5, 5, 11, 11, 5],\n [11, 6, -6, 12, 7, -7, 12],\n [-2, -8, -1, -12, 6, -2, 2]]\nB =\n[[12, 3, -10, -2, -2, -3, -11],\n [7, -8, 10, 10, 12, -5, 0],\n [2, -11, -1, 11, -5, 8, 6],\n [12, 10, -12, -5, -3, 0, -8],\n [9, -4, -3, 1, 11, -2, 1],\n [-10, 8, 3, 7, 4, -8, -6],\n [4, 7, 9, -2, -1, 12, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "216", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-11, 6, -8, -2, 10, 6, -6],\n [8, 9, -7, -2, 1, -9, -5],\n [-4, -11, 12, -2, 7, 9, -6],\n [-9, 11, 1, 11, -12, 11, -1],\n [6, -8, -5, -2, 9, -9, 2],\n [7, -1, 7, 9, 10, 8, -3],\n [11, 3, 10, -5, 7, -5, -7]]\nB =\n[[-10, -5, 10, -3, -8, -2, -9],\n [4, -10, 5, -5, 11, -1, 8],\n [3, 1, 8, 3, -9, -12, -12],\n [9, 2, 7, 7, -10, 1, -4],\n [6, -5, -11, -9, -12, -2, -8],\n [-11, 0, 4, 4, 5, 8, -4],\n [-7, 7, -10, -5, -10, -12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-350", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 3) of the product of the following matrices:\nA =\n[[0, 8, -8, 3, 8, 11, 3],\n [11, -1, 0, -9, -4, 3, -12],\n [-8, 8, -8, 11, 12, 6, -4],\n [-5, 6, 5, 2, -9, 2, 0],\n [5, 7, -8, 5, -5, -12, 6],\n [10, 4, -11, 6, 3, 5, -11],\n [-7, -6, -7, -7, -4, -5, 11]]\nB =\n[[9, 8, -4, -1, 5, 10],\n [-7, 10, -9, 12, -6, 5],\n [7, -8, 5, -3, -5, -12],\n [2, -10, 2, 1, -12, 8],\n [-5, -6, -4, 5, -1, -5],\n [-5, -7, -10, -11, 1, -5],\n [-7, -9, -8, 8, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 7) when matrix A is multiplied by matrix B?\nA =\n[[0, -4, 11, 11, 3, -1, -11],\n [6, 3, 11, 0, -8, 10, 11],\n [-7, 8, 11, 4, 4, 4, -10],\n [0, -1, -7, 9, 8, 0, 1],\n [-6, -8, 1, 5, -9, -12, -6],\n [7, 0, -9, 0, -9, -10, -5],\n [7, -5, 12, 4, 2, -9, -7]]\nB =\n[[11, 9, -7, -3, -9, -4, 3],\n [-6, 1, -7, -12, 5, -1, 9],\n [2, -12, 2, 2, 3, 8, -12],\n [-10, -1, -6, -8, -12, -12, 2],\n [-5, -2, 1, 12, 10, 0, 6],\n [-1, 9, 6, -9, -9, -10, -7],\n [-8, -2, 12, -4, -10, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 7, 4, 8, -1, 12],\n [5, -9, -3, 5, -5, -4],\n [6, 0, 12, -7, 9, -6],\n [8, -7, -2, 4, 6, 12],\n [-1, 8, 8, 11, 0, 5],\n [-6, 12, 10, -8, 3, 9],\n [-9, 10, -12, -9, -10, -9]]\nB =\n[[-12, -1, 0, -11, -4, -6, 0],\n [9, -11, -12, 5, -6, 5, 6],\n [-5, 10, -1, -2, -4, -9, -6],\n [4, -2, -11, 10, 5, 9, -1],\n [-4, -2, -8, -6, -12, 11, 12],\n [-8, -7, 0, -2, -5, 7, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5375", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[2, -3, -5, -11, 8, 2, -7],\n [-8, 9, 9, -10, -2, -2, 3],\n [-10, -4, -10, 6, -2, 1, -11],\n [-6, -3, -3, 7, -12, -7, 8],\n [1, -11, -7, -12, -10, -9, 0],\n [-10, 2, 0, 9, -2, -9, 4]]\nB =\n[[-8, 8, 12, 11, -5, 8],\n [11, -3, -6, 4, -6, 11],\n [6, -4, 11, -11, 9, 7],\n [6, -7, -3, 0, 12, -11],\n [-3, -3, -8, 9, -9, 10],\n [-11, -6, 5, 4, -2, 8],\n [5, -5, -1, 11, -12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "281", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[12, 8, -1, -7, -10, -8, 1],\n [-1, 0, 0, 4, 11, 2, -7],\n [-1, -11, -9, 7, 12, 12, 8],\n [-1, -10, 4, -7, 11, 4, 4],\n [-2, 10, -6, -11, 6, -11, 9],\n [0, 11, 11, 3, 4, -2, -4],\n [11, -4, 1, 0, 12, -2, -1]]\nB =\n[[9, -10, -12, -5, 6, 0, -6],\n [0, -7, -10, -7, -10, 0, 0],\n [12, 0, -12, -5, -8, 7, 4],\n [-4, 0, 12, 0, -8, 1, -2],\n [12, 1, 12, -6, 11, 4, -9],\n [-3, -3, 2, 7, -1, -4, -10],\n [2, -1, 2, -12, 2, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "608", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -1, 7, 12, -7, 9, -10],\n [-3, 8, 9, -9, 0, 6, -8],\n [10, 9, 5, -12, 8, 8, 3],\n [3, 3, 9, 6, 3, -12, 7],\n [7, -3, -11, 1, -5, -7, -10],\n [3, 4, -1, 6, 11, 7, -10],\n [0, 3, -2, 7, 3, 7, -11]]\nB =\n[[-9, 12, -9, 4, -12, -12],\n [-8, 9, -1, -7, -7, 12],\n [4, 9, 0, -5, 11, -1],\n [2, 6, 8, 7, 4, -4],\n [8, 5, -11, -2, 10, 7],\n [4, 8, 5, 2, -6, 3],\n [12, -12, 5, 9, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "523", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[12, -11, -1, 3, -4, 7],\n [-2, 2, -10, 10, 8, 0],\n [8, 0, -11, -7, -7, -1],\n [-9, -8, 10, -5, -7, 8],\n [-10, 10, -5, 6, 8, -2],\n [5, -3, 7, -1, 7, -5]]\nB =\n[[6, 8, 3, 8, 5, -4],\n [-9, -4, 12, -11, -4, -4],\n [5, -2, 0, -7, -4, 3],\n [-9, -11, -6, 2, 12, -7],\n [-2, 7, 4, -9, 6, -6],\n [-2, 0, 8, -10, 1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "105", "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, -8, 0, 0, 11, 11, 1],\n [-1, 8, 0, 5, 0, -9, 10],\n [9, -3, 10, -8, 5, -5, 1],\n [-11, -5, 3, -6, -10, -9, -6],\n [-9, -4, 10, 4, 4, 7, 1],\n [1, 12, 0, -9, 0, 8, 4]]\nB =\n[[2, 5, -2, -9, 7, -2, -3],\n [9, 0, 9, -5, 0, -4, -12],\n [-12, 2, 9, -9, 7, -12, 12],\n [-1, -2, 6, 2, 8, -3, -12],\n [11, -10, 1, 2, -12, -3, 9],\n [-12, 2, -10, 8, 7, 10, 9],\n [-1, 6, 3, -5, 11, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3779", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, -12, -11, 11, -1, 4],\n [-11, 4, 8, -6, -7, -7],\n [9, -5, -8, 2, -6, -10],\n [12, -3, -10, 1, 9, -10],\n [-12, -12, 6, -9, -11, 12],\n [-2, 11, -1, 0, 3, 3]]\nB =\n[[6, 10, 7, 8, 7, -4],\n [3, -6, 0, -9, 0, -5],\n [-11, -6, -2, 4, 11, 1],\n [0, 2, 9, 8, 12, -4],\n [-10, 12, 0, 0, -4, 5],\n [-8, -2, -11, 4, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4589", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 6) of the result:\nA =\n[[8, -9, 9, 5, 11, 7],\n [-5, 6, -1, -2, 3, -8],\n [-10, -1, 2, 3, 0, -6],\n [2, -10, -1, -5, 12, -1],\n [5, -10, -1, 10, 8, 10],\n [-11, 1, 1, -9, 4, 2],\n [3, -8, 11, 4, 10, -6]]\nB =\n[[10, 2, 4, -1, -2, 6, -2],\n [-11, 2, -8, 5, 8, 8, 3],\n [-9, 10, -3, 9, -11, 2, -9],\n [3, -6, 12, 12, -1, -10, 4],\n [-4, -5, 10, -7, 2, -3, 10],\n [12, -7, 2, 1, 6, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-94", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-10, -9, 1, 1, -5, -3],\n [-4, 1, -5, -2, -3, 5],\n [-9, -9, -1, 5, -5, -10],\n [5, -6, -12, 9, 0, -10],\n [-10, 2, 8, 6, -9, 0],\n [0, 2, 6, 3, -6, -10]]\nB =\n[[7, -11, 5, 12, -2, -12],\n [3, 4, 3, -3, 4, -10],\n [5, 6, 1, 8, 12, -11],\n [-1, -2, 4, -7, 6, 0],\n [-6, 9, -2, -6, 0, 0],\n [8, -12, 6, 6, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-342", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -10, 8, 7, -9, -6],\n [-12, 10, 11, 6, -10, 7],\n [2, 0, 9, 1, -6, -12],\n [0, -9, -1, -6, -11, 4],\n [-12, 1, 9, 8, -12, -10],\n [-2, -6, 12, -4, 9, -10]]\nB =\n[[-12, 6, -11, 8, 11, -8, 4],\n [6, -8, 10, 8, 1, -3, 8],\n [-6, -5, -5, -6, 0, 1, 6],\n [-2, -11, 4, -7, -4, 6, -8],\n [-4, 12, -6, -9, 5, 5, 7],\n [4, -9, 9, 3, 9, 10, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5078", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[-4, -11, -11, -9, 7, 7],\n [4, 7, 8, 12, 6, -10],\n [-8, -3, -7, -10, 4, -3],\n [11, -1, -12, 5, 6, 9],\n [7, -9, 2, -4, -7, -1],\n [5, 10, 2, 6, -4, 9],\n [11, 0, 3, 0, -12, 5]]\nB =\n[[9, -10, 4, 9, -8, 12],\n [-7, 8, 4, 4, -12, -6],\n [9, 3, -8, 3, -9, -2],\n [1, 0, 11, -5, 8, 7],\n [2, 5, -6, 8, 6, 12],\n [-4, -2, -3, 1, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-12, -1, -10, -11, 3, -9, -11],\n [-1, 11, 4, 7, 8, -3, 7],\n [-5, 5, 12, 5, 5, -11, -1],\n [-3, -5, 6, -3, -2, 1, 2],\n [11, 10, -3, -9, -6, -2, 11],\n [9, 9, -10, -8, -11, -1, 8],\n [-8, -6, -9, -2, 9, -4, -9]]\nB =\n[[9, -4, -1, 3, -12, -5, -12],\n [7, 6, -9, 1, 10, 1, -4],\n [-4, 4, 2, -3, 4, -4, -9],\n [1, -10, 12, 8, -1, 9, -12],\n [-12, 0, 1, 3, -6, -3, 2],\n [-5, -2, 11, 1, 0, 10, 0],\n [-4, 4, 5, 6, 0, -1, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4256", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 7, -5, 11, -2, -6, -12],\n [-3, 2, -9, -12, -2, -8, 6],\n [6, -9, -11, -6, 0, 7, 8],\n [-1, -11, 9, -4, 3, -5, 11],\n [5, -9, 11, -2, 4, -5, 6],\n [-5, -7, 10, -11, 2, -12, -7],\n [6, -9, 0, 2, -4, -10, -11]]\nB =\n[[3, 5, 5, -7, 5, -2],\n [-6, 10, 10, 1, 5, -6],\n [-3, -5, 11, 1, 5, -8],\n [1, 9, 12, 9, 9, -3],\n [2, -7, -4, -3, 10, 4],\n [-12, 1, -9, -11, -10, -6],\n [10, 1, -1, 6, 5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "680", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-12, 12, -10, 12, 2, -9, 2],\n [-3, -7, 0, -6, 9, -12, 9],\n [-2, 1, -7, -8, 6, 6, 0],\n [-6, -5, 1, 6, 6, 10, -1],\n [10, -4, 1, -7, 2, 0, -6],\n [-2, -3, -12, -6, 5, 10, -10]]\nB =\n[[-4, -8, 10, 11, 0, 3, 3],\n [-1, 5, -2, 4, -6, 2, -7],\n [-7, 5, 6, 7, 6, -11, -10],\n [1, 9, 12, -9, 9, 4, -7],\n [6, -4, -9, -6, -9, -2, 9],\n [10, -11, -3, -7, -5, 2, 0],\n [9, -11, 7, -12, 2, -6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-778", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, -3, 2, -8, 11, -2, -5],\n [8, -5, -7, 2, 2, -8, 0],\n [1, -2, 7, 8, -1, 7, -12],\n [-10, -5, 10, -1, 2, 10, -10],\n [12, 9, -5, 11, 6, 7, -7],\n [5, -2, -1, 10, -11, -8, -9],\n [-4, 0, 0, 2, -11, 10, 0]]\nB =\n[[-6, 10, 4, -5, 5, 2],\n [2, -8, -11, 3, -8, 10],\n [-7, -1, -8, 7, -5, -2],\n [1, 11, 4, -3, -11, -10],\n [0, 4, -10, -3, -5, -9],\n [0, -6, -6, 3, -8, 4],\n [-3, -9, 10, 1, -8, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "676", "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, 11, 5, 11, -2, 3, 5],\n [3, 8, -9, -12, 1, -1, 11],\n [-3, 6, -9, 7, 8, -10, 12],\n [-9, 2, -2, 3, -9, -7, -5],\n [0, 10, 7, -9, -8, -3, -8],\n [-1, -12, 11, -3, -8, 6, 6],\n [7, -1, 10, 3, -8, 4, 1]]\nB =\n[[-1, 0, 8, 1, -8, 9],\n [10, -8, 5, 1, 5, 7],\n [-12, -6, 4, -10, -3, -6],\n [-1, 9, 2, 10, 8, 3],\n [-5, -7, -9, -2, 4, -11],\n [-7, -9, -10, -6, -6, 3],\n [-11, -5, 2, 3, -12, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4319", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 1) when matrix A is multiplied by matrix B?\nA =\n[[-6, 3, -3, -1, 4, 0],\n [-1, 2, 1, 6, 6, 1],\n [5, -8, 7, -7, 5, 1],\n [-9, 10, -12, 0, -2, -10],\n [4, 5, 12, -3, 3, 8],\n [0, 7, -1, -9, -5, -1]]\nB =\n[[6, 2, 3, -1, 7, 5, 9],\n [-1, 3, 12, 7, -2, 9, 7],\n [1, -11, 0, 1, -7, -1, -6],\n [-9, -6, 0, -2, -5, 6, -11],\n [8, 5, 8, -3, -7, 11, 9],\n [-9, 6, 1, 1, 5, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 3) of the result:\nA =\n[[5, -8, -4, -12, -9, -6],\n [-2, 1, -3, 6, -5, -10],\n [-5, 5, -8, 7, -2, -4],\n [6, -1, -8, 3, 12, 0],\n [-7, 3, 5, 4, -1, -12],\n [-6, 1, 5, 10, -12, 7],\n [-3, 2, -2, -9, 2, 8]]\nB =\n[[3, 2, 4, 10, -2, 5, 3],\n [2, -2, 0, 5, -5, -4, 9],\n [-2, 4, -12, -2, -6, -5, 6],\n [12, -9, -9, 6, 11, -4, 4],\n [5, -12, 1, -9, -3, 10, 1],\n [-6, -1, 9, 3, -8, -2, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -5, -6, -2, -2, 4, 9],\n [1, -11, 7, 8, -5, 9, -11],\n [8, 2, -8, -7, 4, -5, 6],\n [-8, 10, 6, 1, -3, 0, 9],\n [-8, -6, -3, -2, -10, 0, -11],\n [-9, -10, 2, -9, 10, 8, -9],\n [2, -7, 10, -8, -1, -6, -10]]\nB =\n[[-6, -1, 2, 6, -7, -5],\n [-7, -10, -8, -4, 11, 3],\n [9, 3, -4, 5, 0, -2],\n [12, -3, -3, -7, 3, 12],\n [-1, -9, -8, -11, 6, -12],\n [-9, -1, -11, -1, 3, -11],\n [4, -11, -9, -7, 10, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "649", "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, 7, -1, -8, 1, 3],\n [-2, -1, 6, 4, 11, -6, -4],\n [1, 7, -1, 2, -1, 8, 8],\n [10, 0, -4, 11, -6, -12, -3],\n [-7, 2, 2, -4, 0, 10, -12],\n [-4, -10, -4, 7, 12, 2, 11],\n [-6, -9, 12, 7, 4, 9, -9]]\nB =\n[[6, -8, 3, -10, -2, 12],\n [9, 2, 6, 8, 11, 1],\n [3, 11, -7, -8, 8, 4],\n [3, -11, -2, -9, -7, -6],\n [4, -5, -12, 12, 2, 7],\n [-1, 2, 10, 9, 2, -4],\n [3, -11, 2, 2, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4739", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 10, 4, -2, -3, 12, -12],\n [1, -8, -5, -12, -6, -11, -6],\n [-6, -4, 9, -9, 10, -6, 7],\n [5, 0, -2, -4, 1, -5, 8],\n [1, 8, 4, 12, 1, 11, -8],\n [-3, -7, -3, -2, 11, -7, -3]]\nB =\n[[1, 7, -10, -6, -11, -6, 4],\n [0, 8, -4, 0, 2, 0, 4],\n [-5, -4, -4, -5, 3, 7, -6],\n [4, -6, -7, -8, 4, -5, -12],\n [3, 4, -10, 0, -5, 3, 11],\n [-6, 8, 2, 11, -11, 11, -11],\n [-3, -8, -9, 2, 0, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "588", "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, 5, 2, 1, -4, -1],\n [-8, 10, -11, 10, 10, -6, 8],\n [-4, 5, -9, -11, 11, -12, 12],\n [-1, 0, 1, -8, -10, -9, 4],\n [6, -2, -5, -1, 5, 5, -4],\n [-8, 8, 4, 0, -7, 11, 9]]\nB =\n[[1, 2, 10, 1, -9, 5],\n [-12, -1, 9, -4, -3, 8],\n [5, 4, 6, -9, 3, -6],\n [-4, -5, 12, -6, -3, -5],\n [11, 4, -1, 1, -1, 12],\n [-11, -1, 1, -6, 0, 8],\n [-9, -12, 4, -10, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3437", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -3, -11, 9, -9, 1, -2],\n [1, 0, -9, -11, -11, -2, 9],\n [-8, -4, 7, 8, 4, -1, 5],\n [-10, -8, 8, 7, 1, 3, 6],\n [-4, 4, 9, -6, -3, -9, -3],\n [-10, 11, -4, 0, -12, 2, 2],\n [-2, -3, 12, -6, -12, -6, -8]]\nB =\n[[10, 3, 12, -5, 9, -11],\n [-5, 1, -9, 11, 2, -6],\n [7, -5, -2, -11, -4, -7],\n [10, -12, -10, -3, -8, -1],\n [10, -12, -4, 8, 0, 6],\n [-6, 3, -5, 6, -6, 10],\n [-9, -3, 12, -12, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1404", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, 6, 0, -4, -8, 10, -12],\n [-11, -2, -9, -4, -8, -8, 12],\n [-5, -11, -6, 4, -2, 2, 12],\n [-10, 0, 5, 7, 7, -10, -11],\n [-8, 7, -8, 0, -5, 3, 5],\n [12, 3, -12, -5, 8, -11, 11],\n [-8, 2, 1, -10, -6, -9, -2]]\nB =\n[[-1, 2, -7, 11, -12, 5],\n [1, 11, -6, -3, -4, -11],\n [-5, 9, -12, 7, -11, -6],\n [12, 3, 9, -9, 8, 4],\n [-9, -10, -4, 9, 2, 7],\n [-10, -1, 2, 7, -5, -1],\n [8, 0, 2, -2, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "752", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 4) of the result:\nA =\n[[11, -1, 7, 5, 3, -10],\n [-4, -6, 6, -8, 6, -3],\n [7, -1, -5, -10, 6, -2],\n [-5, 0, 10, 10, -3, 5],\n [-1, -6, -2, -3, -10, -6],\n [-9, -5, -5, -7, 0, -1]]\nB =\n[[-10, -7, 9, 6, -2, -9],\n [2, -11, 2, 4, -11, -6],\n [3, -8, 3, 12, 6, -11],\n [2, -9, -11, 10, -3, 9],\n [11, -8, 5, -9, -12, 5],\n [7, -7, 7, 7, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -4, -1, -3, 11, 11, 8],\n [6, -7, 1, 12, -5, 10, 1],\n [-2, 11, 3, 7, -7, 2, 2],\n [1, 8, -1, -11, -5, 6, 1],\n [-8, 11, -4, 0, -4, 1, -8],\n [-11, -6, 3, -2, -2, 10, -1]]\nB =\n[[0, -5, 11, 3, 8, -12],\n [0, -2, -9, -9, 2, -10],\n [11, 6, 8, -11, -7, 9],\n [11, -5, 4, -8, -11, -1],\n [-8, -3, -4, 7, -5, -12],\n [11, -7, 11, 9, -2, -10],\n [2, -2, 11, -8, 3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3565", "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, -7, -4, -6, -10, -2],\n [-1, 8, 12, -2, -11, -12],\n [11, 11, -11, 1, 0, 11],\n [-8, -11, 10, 10, 6, 4],\n [-2, 3, 7, 5, 7, -5],\n [-11, 4, -2, 1, 3, 2],\n [2, -10, -6, -1, 9, 9]]\nB =\n[[10, 11, -10, 6, -3, -5, 3],\n [3, -1, 10, -8, 7, -7, 12],\n [-7, -5, 4, -1, 9, 1, -11],\n [6, -7, 5, -9, 9, -8, -7],\n [2, -7, -5, -4, 8, 9, -7],\n [9, -11, 3, 7, -12, 3, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6109", "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, -6, 3, 4, 3, 3, -7],\n [5, 9, 9, -10, -5, -9, 10],\n [-9, 4, 9, -8, 12, 1, 2],\n [12, -1, 0, 11, 10, 5, 1],\n [11, 6, 9, -6, -7, -8, -9],\n [5, 12, 1, 3, 10, 10, 7],\n [1, -8, 9, -2, -1, 5, -9]]\nB =\n[[0, 7, 0, -9, 10, 10],\n [-6, 10, -11, 8, 5, 8],\n [-7, 3, -10, 9, 2, 8],\n [7, -3, -4, -2, 1, 11],\n [-1, -6, -2, 4, 12, -4],\n [9, 10, 0, 3, -10, -8],\n [10, 4, -12, 8, -4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5412", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 0, 2, 8, -5, -5],\n [-11, 10, -3, -8, 3, 12],\n [6, -12, 0, -9, -6, -12],\n [-11, 3, 1, -8, 12, 1],\n [4, -1, 7, -1, -10, 8],\n [8, -11, 8, 12, 8, 2]]\nB =\n[[-2, -3, 5, 10, 9, 10],\n [11, 8, -11, -6, -6, 11],\n [-6, 10, 1, 12, 11, -11],\n [-11, 10, 2, -2, -3, -10],\n [4, -4, 2, 1, 6, 4],\n [9, 7, 4, 3, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "438", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, -1, -12, -1, 12, -7],\n [3, 5, 6, 10, -10, -10],\n [-8, -10, 6, -8, 1, 8],\n [3, 12, -12, 4, -2, -4],\n [8, -9, -11, -4, 9, 12],\n [-8, -9, 10, -8, 11, 11],\n [5, 0, -8, 11, 6, 10]]\nB =\n[[-10, 9, 5, -7, -7, 11],\n [-8, -12, -5, 12, -12, 8],\n [-7, 7, 1, -2, -11, 8],\n [-9, 0, -6, -7, -10, -4],\n [1, 7, -2, -8, 1, 6],\n [-5, -6, -6, 11, 10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "156", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-10, 5, 0, -12, -8, -9, 3],\n [2, 5, 4, 1, 1, 6, -7],\n [0, 5, 2, 10, -6, 6, 4],\n [-4, -2, -8, -11, 2, 11, -1],\n [-3, -3, 7, -2, -3, -6, 1],\n [0, -8, 6, -3, -5, 5, -12]]\nB =\n[[-8, -2, 7, -2, 3, -3, 2],\n [-6, 2, 12, 3, -7, -2, 4],\n [2, 3, 11, -11, -9, 6, -7],\n [5, 8, -2, -4, -10, -11, 5],\n [2, 12, 9, 5, 6, 2, 4],\n [5, 5, -2, 5, 10, -10, 0],\n [1, -9, 5, -8, 1, 12, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-448", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[12, -6, -1, -5, 8, 8, -10],\n [9, -12, -10, -2, 5, -6, -4],\n [-9, 10, 11, -3, 5, 10, 3],\n [-1, 6, 11, 9, -10, -5, 6],\n [-4, 6, 4, 0, -11, -9, -2],\n [-11, -9, -9, 7, -12, 12, -2],\n [10, -11, 6, -5, 10, 7, -9]]\nB =\n[[12, 3, 2, -8, -8, 2, 10],\n [4, -10, 5, -2, -7, -1, 9],\n [4, 1, -7, -3, 3, 5, 7],\n [-7, 6, -10, -1, 3, -10, 3],\n [-9, 12, 7, 0, -9, -9, -6],\n [8, -1, -11, 3, -6, 6, -2],\n [-12, -4, -8, 4, -12, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4897", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[12, 0, 11, -2, 0, 0],\n [-7, 9, -7, 7, 8, -3],\n [6, -10, -6, -8, -5, -8],\n [-1, -9, 6, 5, -10, -6],\n [-5, 2, 8, 4, 6, -9],\n [3, 0, -1, -9, -1, 4],\n [-4, -1, 2, 7, -11, -4]]\nB =\n[[1, -9, -9, -7, 11, -8],\n [11, 4, 0, 7, 4, 6],\n [10, -12, 8, 4, 9, 12],\n [-10, 1, -1, 2, -7, 7],\n [9, -11, -9, 0, 0, 10],\n [9, 12, 10, 4, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-242", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 3, -5, -12, -3, -11],\n [6, 1, -10, 10, 11, -4],\n [10, -5, -2, 2, -7, -11],\n [-12, -10, 12, 10, 5, 1],\n [4, -11, 6, 9, -4, -5],\n [-3, -4, -5, -6, 9, 11]]\nB =\n[[-7, -11, -4, -4, 6, -4],\n [-11, 6, 3, 9, 1, 7],\n [11, -12, 0, 9, -11, 9],\n [1, -12, 2, 5, -4, 9],\n [-5, -6, -4, -4, -2, -9],\n [-6, 8, -6, -9, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-805", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[7, -10, -4, -8, 7, 3, -5],\n [8, 3, 6, 3, 5, 2, 11],\n [5, 1, 11, 3, -8, -5, 3],\n [8, -12, -2, -2, -11, 9, 6],\n [11, -8, -10, 10, -5, -9, 0],\n [12, 9, 1, -12, -8, 8, -6],\n [10, -7, 2, 2, -5, -11, 1]]\nB =\n[[3, 10, -3, 2, 10, -9, -1],\n [-3, -11, -9, 7, -7, 1, 10],\n [-10, 2, -12, 6, 12, -12, 0],\n [-5, 5, 9, -10, 10, 5, 7],\n [-4, -7, 7, -11, 12, -9, 12],\n [5, -6, -2, -8, -5, -2, 11],\n [7, 7, 2, 11, -10, -6, 11]]\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 value at position (2, 6) of the result:\nA =\n[[-5, -2, -3, 7, -4, 2, 7],\n [11, 9, -8, 2, -9, -8, 2],\n [4, 10, -5, 12, 6, -4, -3],\n [-8, -3, 9, -12, 12, 12, 9],\n [11, -9, 8, -8, 10, -6, 10],\n [-8, 7, -5, 4, -12, 9, 5],\n [-1, -10, 7, 1, 3, 5, -3]]\nB =\n[[10, 2, -3, -12, 6, -11],\n [0, 12, 3, -5, -10, 8],\n [6, 1, -2, -1, -2, -2],\n [9, 8, 5, -3, 3, -5],\n [-7, 6, 0, 2, 0, -12],\n [8, -11, 0, -11, 12, -2],\n [0, -3, 10, 9, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "57", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[1, -3, 5, -2, -6, 2, -10],\n [-11, 9, -5, -5, -2, 3, -11],\n [9, -8, -6, 7, 0, -11, -10],\n [-4, -3, 11, 0, 12, 8, 0],\n [-8, 10, -6, 4, 2, -8, 11],\n [-6, -11, 11, 5, -3, -12, 1]]\nB =\n[[6, 3, 6, -7, -1, -10],\n [-6, 11, -10, 12, 4, 2],\n [6, 6, 10, -2, 8, 7],\n [-11, -6, 6, -6, -3, -1],\n [10, 5, 10, -7, 7, 8],\n [-5, -8, -10, -11, 9, -7],\n [-6, -5, -9, -1, 11, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "487", "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, 9, 6, -4, -1],\n [8, 4, 10, -3, 6, -2],\n [7, 9, 11, 0, -9, 2],\n [-1, 12, 11, -3, 9, -6],\n [11, -11, 8, -6, -5, 8],\n [6, -7, 8, -5, 12, 12]]\nB =\n[[9, 7, -9, 12, 7, 11],\n [-4, -8, -7, 6, -1, -8],\n [-8, 5, -7, -4, -2, 10],\n [1, 11, -11, 1, 12, 6],\n [-3, -8, 10, -9, -6, 11],\n [0, -3, -3, -9, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3692", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -2, 6, 8, 11, -10],\n [2, 3, 1, -8, 4, 5],\n [6, -12, 12, -4, 8, 1],\n [7, 8, 7, 8, 10, -2],\n [11, -11, 7, 11, 10, 12],\n [-8, 9, 11, 2, -1, 1]]\nB =\n[[-2, 8, -4, 7, -5, -1, -10],\n [8, 2, -5, -6, 4, -1, 7],\n [5, 5, 2, 10, -10, 6, 2],\n [3, 9, 9, 4, -12, -2, -7],\n [10, -4, 7, 3, -7, -1, 6],\n [0, 0, -9, -4, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4574", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 6) when matrix A is multiplied by matrix B?\nA =\n[[-8, 10, 6, -11, 0, -2],\n [-11, -12, 8, -10, -1, -6],\n [-12, -4, 5, 11, 7, -7],\n [-4, 10, -5, 10, 5, 12],\n [2, -12, 1, 5, 6, 6],\n [-3, 7, 8, -7, 4, 1]]\nB =\n[[0, -5, 9, -3, -4, -8],\n [10, -9, -7, -7, 0, -9],\n [9, -5, -8, -11, -4, -2],\n [7, 7, -2, -6, 1, -7],\n [-9, -7, -10, 10, -7, -10],\n [-12, 8, 5, 10, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "314", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 4, 5, -7, -11, -1],\n [-1, -9, 3, 7, -3, 12],\n [-3, -6, 1, -6, -1, -2],\n [4, -2, 8, -10, 6, 9],\n [-9, -5, 1, 7, 11, 1],\n [3, 2, -1, 3, 7, 6],\n [-8, -1, -8, -3, 4, 2]]\nB =\n[[-5, -5, -5, -3, 7, 0, 3],\n [-4, 3, -3, -10, 10, 9, 12],\n [1, 0, -9, -9, -7, 11, 6],\n [-2, -5, 1, -5, 1, 10, -6],\n [8, 5, -1, 1, 2, 5, -1],\n [-3, -1, -5, -7, 11, 6, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-239", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 9, 3, 5, -1, 12, -8],\n [8, 0, -5, -7, -10, 12, 7],\n [-9, -1, 0, -11, 6, -9, 10],\n [0, 6, -5, -5, 3, -2, 5],\n [-9, 11, -12, -12, 1, -9, -2],\n [5, 3, 4, 11, -11, -9, -10],\n [2, -11, 11, 6, -4, -3, 8]]\nB =\n[[12, 6, -8, 1, -3, 3, -7],\n [12, -5, -11, 5, 8, 8, 8],\n [7, -5, -8, 4, 3, -8, 4],\n [-9, -12, 9, -7, -12, 11, -9],\n [-11, 0, 1, 4, -2, -10, -6],\n [-3, -2, -3, -5, -8, 10, -11],\n [2, 3, -9, 9, 3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1442", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 6) of the product matrix AB given:\nA =\n[[-1, 8, 3, 3, 9, -1, -11],\n [10, 11, 1, -2, -4, 9, -6],\n [-1, 4, -4, -7, -1, 7, -3],\n [-4, -1, -12, -11, 6, -12, 3],\n [3, 5, 5, 10, 0, 9, -1],\n [-4, -8, -4, 0, 3, -3, 3],\n [1, 12, -11, 12, 6, -2, 6]]\nB =\n[[-2, 1, 2, 12, -6, 2],\n [11, 10, 12, -5, -9, 5],\n [1, 8, 5, -9, -11, 8],\n [-7, -2, -12, 2, -1, 11],\n [5, -8, -2, 11, 8, 6],\n [9, -12, 4, -5, 10, 3],\n [-2, 6, 11, -2, 2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[1, -12, -3, -6, 5, -1, -11],\n [5, 8, -6, 7, -1, 7, 12],\n [1, -3, -4, 10, 2, 7, 11],\n [-3, 6, 6, -1, 10, -1, -4],\n [7, -9, -12, 3, -12, 0, -10],\n [-1, 10, -4, -9, -11, 9, 9],\n [-4, 7, 11, 0, 1, -10, 5]]\nB =\n[[-4, 2, 9, 11, -3, 12, 4],\n [0, -12, -2, -8, -4, -6, -6],\n [-11, 6, 7, 5, -3, 12, -8],\n [3, 10, 12, -8, 2, 9, 3],\n [-9, 1, 11, 4, 4, 8, 3],\n [-4, -11, -2, 2, -10, 11, 3],\n [8, 6, 9, -7, 1, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-415", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-7, 5, 9, 5, 6, -11],\n [4, -12, -4, 0, -9, -8],\n [10, 5, -3, 12, -9, 0],\n [0, 4, -5, -9, 10, -10],\n [-2, -1, -4, 2, 0, -8],\n [-8, 6, -2, -4, -10, 5],\n [0, 12, -1, -4, -3, 0]]\nB =\n[[7, 7, 0, 9, -4, 11, -3],\n [6, -7, -6, 2, 9, 6, 1],\n [3, 1, 12, 7, -11, -4, -10],\n [-7, -8, 1, 2, 5, 4, -4],\n [6, 10, 12, -4, 3, -7, -5],\n [12, -10, 9, -8, -6, 10, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-12, 9, 8, -9, 3, 1],\n [-12, -9, -3, -2, -6, -9],\n [-12, -12, 4, -3, -8, -6],\n [12, -5, -11, -4, -9, -1],\n [-2, -8, -1, 8, -9, 0],\n [9, -12, 5, -9, -9, -5],\n [12, 7, -7, -9, -9, -2]]\nB =\n[[-4, 1, -9, 0, -7, 0, 12],\n [-10, 10, -6, -12, -2, -11, -8],\n [11, 9, 1, 0, 3, 10, 2],\n [-10, -7, -4, -10, 0, 0, 9],\n [-6, -8, -5, -5, 9, -6, 6],\n [-6, 10, -9, -3, 0, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2588", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-3, -6, -8, -10, 9, 9],\n [9, -11, -2, -3, 10, 0],\n [-6, -3, -9, 9, 7, 3],\n [7, -7, -4, 0, -6, 5],\n [1, 9, -8, 9, 0, 11],\n [-5, 2, 6, -4, -7, 10],\n [12, 1, 10, -3, -4, 4]]\nB =\n[[0, 4, 6, 0, -4, -12, -12],\n [-8, -5, 5, -9, 9, -12, 2],\n [7, -9, 12, -4, 9, 11, 7],\n [-3, 11, 2, -10, -11, 9, -8],\n [11, -12, -2, -1, -10, 10, 3],\n [1, -1, 7, 3, 8, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, -6, 2, -4, -9, -5, -3],\n [2, 10, 5, 1, -8, -4, 0],\n [12, 6, -2, -1, -10, -11, 10],\n [9, 2, -8, -6, -9, -8, 12],\n [3, 2, 3, 12, -9, -7, 5],\n [-10, 12, 9, 11, -8, -11, 10]]\nB =\n[[3, -7, 2, 5, -7, 0],\n [11, 0, -12, 3, -9, 4],\n [5, 3, -12, -7, -2, -7],\n [4, -9, 1, 1, 7, -5],\n [9, -11, -8, -9, -3, 7],\n [11, 8, -10, 3, -3, 2],\n [-9, -12, 9, 2, -3, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4080", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[9, 5, 3, 8, -4, 11],\n [6, 4, -3, 6, -5, 6],\n [-8, -11, 2, 4, -3, 8],\n [8, 9, -11, -4, -11, 5],\n [-1, 2, 8, 12, 7, -7],\n [5, 0, -9, -1, -4, -11]]\nB =\n[[3, -12, -9, 2, 7, -12],\n [7, 2, -10, 0, 5, 0],\n [-3, 7, 11, -6, 12, -5],\n [-12, 5, -1, 5, 11, -1],\n [7, -4, -11, 1, -9, 2],\n [4, 6, -7, -4, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-49", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 5, 10, -9, 8, 11],\n [-11, 6, -8, -9, -8, 6],\n [0, 3, -1, -4, 11, 3],\n [1, 9, -12, 7, 10, 8],\n [-9, -4, 11, 6, 1, 9],\n [-1, -9, -6, 4, -12, 1]]\nB =\n[[2, -1, -1, -7, 0, 3],\n [1, -6, 12, 3, 10, -4],\n [1, 12, 11, -6, -1, -10],\n [1, 6, -2, -8, 10, 0],\n [-3, -6, 4, 3, -5, 4],\n [0, -2, 7, 5, -8, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3379", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, 1, -1, -9, -6, -2, 7],\n [-11, -9, -6, -12, 2, 7, 9],\n [11, -5, 12, -8, 1, 5, -10],\n [-11, 12, 9, 3, 1, 3, -2],\n [4, -10, 10, 10, -8, -10, 2],\n [10, -8, 9, -10, -7, 10, 1],\n [11, -11, 5, -7, 11, -8, 1]]\nB =\n[[4, -2, -12, -3, -4, 7],\n [-1, -12, 11, 5, -1, -11],\n [-12, -12, 12, -12, 9, -1],\n [-6, -9, 8, 7, -9, 2],\n [-12, -7, 1, 1, -3, -6],\n [10, 11, 10, 9, -1, 11],\n [6, -4, -10, -9, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-71", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, -7, -5, 6, -3, 9, -8],\n [-8, -8, -4, 10, -4, 2, -4],\n [1, -7, 9, 7, -5, -11, -8],\n [4, -3, 1, 5, -12, 9, -11],\n [-9, 0, 3, -8, 10, -3, 4],\n [-2, -8, 2, -9, -6, -3, 10]]\nB =\n[[11, -9, 7, -8, -8, -2],\n [6, -8, 8, -5, -6, -5],\n [0, -8, 5, 11, -4, -11],\n [3, 1, 4, -7, -10, 4],\n [0, -7, -5, 12, -7, 3],\n [-7, 4, 8, -10, 10, -1],\n [12, -7, 8, -6, -2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-279", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, -8, 2, 8, -9, -8, -6],\n [-10, -9, 12, 2, -11, 11, 12],\n [-8, -6, 9, 4, -5, -4, -3],\n [-2, -12, 2, -5, 6, -1, -7],\n [-3, 11, -8, 11, -6, -6, 10],\n [12, 9, 9, -4, 2, -7, 3]]\nB =\n[[-6, 2, 10, -11, -5, -1, -2],\n [-7, 7, 0, 10, 3, -5, 4],\n [0, -9, 7, -3, 12, 9, 7],\n [3, 4, -5, -2, 12, -8, 8],\n [3, 11, -5, 8, 3, -9, -7],\n [8, -5, -4, 0, 4, -4, 0],\n [-4, -7, -3, -8, -6, -2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4442", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[-4, 12, -3, -2, -10, -5, 4],\n [-6, -1, 3, 2, 8, 0, 5],\n [5, 11, -8, 1, -2, -10, 4],\n [10, -1, -10, 10, -11, -9, 5],\n [7, 8, 1, -5, -11, 6, -3],\n [-8, -2, -4, 3, -8, 2, 1],\n [-4, 7, -8, 2, -4, -9, 8]]\nB =\n[[8, -9, 7, 8, 9, -6, 2],\n [9, 4, 5, -6, 6, -3, 0],\n [-11, 9, 7, -2, -8, -7, -10],\n [-12, -10, -10, 9, -9, -6, 2],\n [-2, 5, -1, -9, 11, -2, -7],\n [6, 5, 2, -10, 4, -12, -11],\n [6, -4, -5, -1, 2, 12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 8, 3, -6, 7, 8, -1],\n [4, -2, -9, 6, -11, -11, 11],\n [4, 11, -4, 9, -12, -3, 10],\n [2, 8, 2, 12, 10, 8, -11],\n [1, -9, 5, -4, -11, -11, 5],\n [4, -4, -5, -11, -11, -8, -1]]\nB =\n[[3, 1, 7, -11, 11, -5, -9],\n [7, -4, 7, 12, 6, -11, 3],\n [-2, -5, -1, -10, 0, -11, 0],\n [-5, 2, 11, 8, -4, -2, 9],\n [8, -10, -6, 1, 2, -4, 7],\n [-2, -6, -1, 6, 5, 0, -2],\n [-12, -7, 8, -11, 0, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "407", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 6, 10, -12, 10, 12, -5],\n [10, 1, 11, 3, -9, 5, 1],\n [-4, 2, -10, -9, 10, 5, 1],\n [2, -5, -3, 11, -1, 8, -4],\n [-5, 4, -4, 0, 1, -8, -4],\n [12, 3, 6, 11, 10, -6, -1],\n [-11, 5, 5, 3, -2, -11, 1]]\nB =\n[[-9, -6, -11, 8, 1, -6],\n [-4, -5, -4, -6, 6, 4],\n [10, 0, -2, 9, 5, 4],\n [3, -3, -9, -9, 9, -2],\n [8, 12, -5, -4, 3, -3],\n [10, -4, -10, 12, -11, -4],\n [0, -7, -9, 1, -2, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "651", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-10, -8, 12, -6, -2, -1, -2],\n [6, 0, -9, 1, -1, -11, -5],\n [9, 6, 0, 8, 8, -12, -8],\n [9, -2, -2, 0, -11, 6, 3],\n [-8, 1, 6, -8, 8, 11, -4],\n [11, -1, 3, 6, 2, 4, 2]]\nB =\n[[-10, 4, 0, -4, 0, 3, 6],\n [1, -5, 9, 6, 12, 11, -10],\n [10, 8, 5, 3, 1, 3, 11],\n [4, 7, -2, 0, -2, -9, 1],\n [-8, -9, -12, 1, -6, -3, -11],\n [-3, -10, 8, -5, -3, -5, 1],\n [5, -4, 9, -4, -9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "98", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 8, 3, -8, 7, 10, 11],\n [2, 8, -4, -6, 0, 10, -5],\n [-1, -9, 3, -7, -8, -12, 1],\n [-4, 5, -7, 2, 3, -5, 6],\n [-8, 1, -6, -9, 8, -12, -9],\n [1, 10, 3, -6, -3, -3, -9]]\nB =\n[[-1, -7, 0, 8, -12, -5],\n [10, 3, -8, -6, -10, 11],\n [8, -11, -11, 7, 10, -3],\n [7, -4, 5, -7, 7, -7],\n [12, -3, 12, -4, -4, -10],\n [-1, -2, 1, 12, 6, -3],\n [6, -8, 9, -4, -12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3519", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[11, -9, -6, -7, 2, -7, -6],\n [7, 9, -10, 8, 0, -11, -10],\n [0, -4, 9, 6, 5, -8, -3],\n [1, 8, 4, -10, -6, -4, -8],\n [-9, -10, 0, -4, 10, -6, -5],\n [-3, -12, 7, 8, 8, -12, 6],\n [-11, -1, 10, 0, 1, -8, -10]]\nB =\n[[11, 4, -12, 1, -7, 4, -9],\n [-7, -12, -4, -9, -4, -4, 9],\n [0, 10, 4, 8, -10, -7, 7],\n [2, 1, 0, -4, 10, 2, 1],\n [-9, -2, 9, -11, 3, 6, 3],\n [-6, -2, -1, -9, 3, 3, -6],\n [12, 0, -8, -12, -8, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5299", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, -11, 11, 5, 2, 1],\n [12, 0, -11, 6, -5, 9],\n [4, 2, 7, 8, 1, -10],\n [4, -10, 0, 12, 5, -12],\n [-6, 10, -8, -11, 4, 8],\n [-3, -9, -4, 8, -2, -1],\n [-1, 5, -9, -4, -5, 6]]\nB =\n[[11, 0, -11, 6, 1, -8],\n [-3, 11, 4, 7, 3, 4],\n [-12, 8, 9, 2, 4, -2],\n [9, -8, -9, 8, 11, -4],\n [3, -1, 5, 9, -10, 2],\n [5, -1, 0, -12, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4534", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 8, 8, -8, -2, 12],\n [11, 11, 4, 4, -11, 11],\n [-12, -9, -4, -11, -10, -7],\n [0, 2, -2, -3, -10, 7],\n [-4, 12, -3, 8, 10, 12],\n [11, 10, -1, -5, 8, 8]]\nB =\n[[8, 4, 9, -8, 11, -5],\n [5, -2, 9, -3, 2, -7],\n [6, 4, 10, -3, -8, 3],\n [-1, 8, 11, -8, 8, -12],\n [-11, -8, 10, 6, 2, -12],\n [-2, 5, -10, -4, 11, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, 0, -4, -10, 3, 9],\n [-5, -6, 12, 10, 4, 12],\n [3, 8, 9, 5, 3, 2],\n [-11, 7, -9, -8, -6, 2],\n [4, -3, 7, -4, 3, 11],\n [-10, 9, -4, -5, 10, -6],\n [4, -8, -6, 0, 5, 9]]\nB =\n[[1, 5, -10, 4, 6, -6],\n [8, -9, 2, 11, -5, 3],\n [-12, 12, 3, 12, -11, -11],\n [-5, -1, -2, -7, 6, 5],\n [-8, 2, -5, -7, -1, 6],\n [-1, -1, -4, 11, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "226", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[4, 5, 3, -9, 5, -10],\n [3, 1, 11, -4, -7, -9],\n [-11, 10, -3, -2, -6, 12],\n [-8, -9, -7, -11, -11, 3],\n [12, 10, 10, 0, 8, -6],\n [12, -8, 12, 4, 0, 2]]\nB =\n[[-10, 10, -9, 2, 5, -10, -6],\n [-5, -2, 12, 9, -4, 7, -1],\n [-8, -12, 1, 12, 12, 12, -10],\n [2, -3, -3, 11, -10, -7, -8],\n [11, 6, 1, 4, -1, -4, 12],\n [-10, 5, -9, 1, 11, -7, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[4, 11, -8, -7, 8, -8],\n [6, 1, -9, -8, -2, -11],\n [9, -11, 7, -1, 3, 4],\n [-9, 1, -6, 2, 3, -5],\n [-11, 6, -12, 10, -9, 11],\n [8, 12, 9, -2, -3, 5],\n [-12, 4, 3, -1, 3, -4]]\nB =\n[[4, -10, 5, 2, 2, 3],\n [7, -12, -12, -9, 0, -9],\n [10, -5, 0, 11, -5, 1],\n [12, -12, -4, 11, -12, -6],\n [12, 7, 0, 2, -4, 3],\n [4, -4, -7, 7, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4159", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 2, -6, -3, -9, 11, -10],\n [5, -12, 0, 9, 5, -5, -2],\n [-3, -9, 12, -9, -9, -1, -5],\n [0, -5, 8, -10, -1, 5, 2],\n [12, 1, -4, -8, 2, -5, 10],\n [-10, -1, -8, -4, 7, -10, 10]]\nB =\n[[-5, 8, 0, -5, -8, 12, -6],\n [-8, -4, -8, -5, -1, -9, -4],\n [9, 9, 1, 6, 0, -10, -9],\n [-12, 9, -12, -2, 3, -9, -6],\n [-1, -7, 11, 7, -4, -5, 1],\n [2, 8, 9, -8, 2, -7, -12],\n [7, -4, -9, -11, -7, -11, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1420", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 7, 4, -4, 9, -4],\n [6, -8, 12, -7, 5, -12],\n [12, 4, 1, 2, -8, 4],\n [8, 8, 10, 10, -2, -3],\n [4, 12, -12, -8, 3, -6],\n [-1, -5, 5, -12, 7, -1]]\nB =\n[[-9, -1, 9, -12, -12, -10],\n [8, -1, 9, 8, 0, 0],\n [8, -4, 5, -12, -7, 12],\n [10, 11, -8, -9, -7, -10],\n [4, -2, -9, 12, 7, -12],\n [-9, 10, -10, -3, 9, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[-9, 6, -12, 3, 6, 7, 8],\n [9, 5, -11, -7, 8, -12, 6],\n [-8, -11, -12, 3, 12, 8, -11],\n [-9, -10, 10, 4, 2, -3, -1],\n [-1, 7, -6, -3, -8, 7, 7],\n [-2, -11, 11, 3, -1, 3, -9]]\nB =\n[[-11, 12, -3, 0, 10, 6, 2],\n [10, -12, 4, 7, -9, 7, -4],\n [-7, -10, 9, -11, 5, 10, 6],\n [-6, -10, 5, 7, 7, 6, -4],\n [3, -7, 8, -1, -7, 0, 11],\n [-8, 0, 7, -6, -1, 8, -9],\n [-8, 3, -9, -5, 3, -5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, -1, -10, 7, -11, 0, 8],\n [-2, 11, -1, 5, -4, -6, -7],\n [11, 1, 5, 1, -8, 7, 11],\n [0, -12, -1, 6, -3, 11, -8],\n [7, -7, -1, 8, -10, 1, 8],\n [-9, 4, 4, 1, 2, -6, -9],\n [4, -7, -2, -1, 2, -1, -2]]\nB =\n[[4, -5, -1, -4, -2, -10],\n [-6, 8, -10, 8, 3, -3],\n [10, -6, 12, 11, 7, 2],\n [8, 8, -3, -1, 5, 10],\n [10, -4, -4, -9, -8, -6],\n [-6, -2, -3, -2, 11, 11],\n [5, -1, 12, 3, -9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1037", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[4, 8, 10, -8, 0, -10],\n [10, 4, -2, -12, 5, 4],\n [-4, 7, -6, -8, 3, -6],\n [0, 0, 2, 10, 4, 4],\n [6, -3, -11, 1, 10, -10],\n [-6, 12, -2, 4, 2, 6]]\nB =\n[[-2, 2, 2, -7, 2, -4],\n [-8, 6, 11, -8, 9, 0],\n [5, 7, 4, 2, 1, 3],\n [-9, 4, 7, 1, 5, -7],\n [9, -5, -4, 11, -12, 0],\n [-10, -7, 4, -5, -7, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2491", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-12, -3, 5, 9, 1, 11, -8],\n [4, 1, 5, -9, 7, 10, -11],\n [-6, -6, -6, 0, 6, 9, -7],\n [7, 4, 12, 5, 12, 11, -12],\n [10, 0, 6, 3, -3, 0, -3],\n [1, -4, 8, -2, -10, -5, -1],\n [-10, -6, 1, -6, -6, 1, -1]]\nB =\n[[-12, -8, -2, -12, 10, 0],\n [11, 10, 4, -10, -3, 6],\n [-6, 7, -10, 9, -1, 9],\n [-3, 8, -1, 2, -7, 6],\n [-8, 12, 7, -11, 8, 6],\n [6, -9, 7, -8, -6, -9],\n [-2, 10, 12, -10, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-852", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 7) of the result:\nA =\n[[2, 12, 8, 5, 3, 3, -3],\n [-12, 10, -2, 4, 11, 2, 12],\n [-6, 12, -7, 2, 2, -6, -10],\n [1, -4, -10, -7, 7, -4, -12],\n [-4, -1, -9, 3, -8, 4, 4],\n [-7, 2, -12, 0, 3, -11, 6]]\nB =\n[[10, -11, 8, 12, -1, -1, -5],\n [-1, 11, -2, -11, -12, 12, -9],\n [-4, -6, 9, 12, -3, 7, 1],\n [-12, -8, 0, -7, 9, 4, 2],\n [-6, -5, 8, -11, 5, 8, 10],\n [-6, 7, 3, 6, -4, -1, 1],\n [-6, -11, 4, -2, 5, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-90", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 1, 2, 6, -3, -4],\n [-3, 7, 10, -9, 6, -3],\n [4, -1, 12, -12, -2, 0],\n [-12, -12, 8, 3, -6, 10],\n [-3, 3, -12, 9, -4, -7],\n [2, -9, 2, -3, 12, 3]]\nB =\n[[0, 6, 7, -9, 7, 9],\n [3, -2, 2, -2, 10, 12],\n [-2, -10, 11, 11, 4, -8],\n [0, -3, -8, -1, -5, 11],\n [-1, 3, -11, -10, 5, 4],\n [-11, 9, -1, 4, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3933", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-11, -5, 1, -7, -4, -12],\n [-8, -6, -4, 1, -4, -9],\n [7, 2, -9, -10, 11, 8],\n [10, 9, 1, -4, 6, -7],\n [-10, 5, 3, -10, -11, -11],\n [10, -3, 2, -10, -5, 5]]\nB =\n[[-2, -6, 6, 12, -6, 12, -11],\n [-7, -8, 1, 5, -9, -9, 11],\n [0, 10, 8, 12, -12, 7, -8],\n [11, -10, 8, 6, 0, -6, -3],\n [-10, 10, -11, -6, -4, 8, -1],\n [9, -3, 6, 0, -3, -8, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-364", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, -10, -5, -7, 6, 4],\n [-3, -12, 0, -3, -1, -11],\n [-3, 8, 10, -12, -12, 7],\n [2, 9, 12, -12, 8, -4],\n [11, -6, 3, 3, 0, -3],\n [5, -4, -1, 11, 0, -2],\n [2, -3, -3, -4, 12, 12]]\nB =\n[[-10, 10, 3, -1, 4, 12],\n [2, 12, -10, -8, 0, 11],\n [-7, -4, 6, -6, 0, 9],\n [-8, 3, -9, -8, 7, 6],\n [10, -7, -9, 12, -12, 4],\n [-4, 3, 10, -11, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "392", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[0, 7, 4, 12, 2, 9, -1],\n [-7, 7, 0, 5, 11, 2, 2],\n [-5, 6, 10, 1, -6, 1, -8],\n [2, 8, 2, 11, -9, -12, 4],\n [12, 7, -12, 3, 0, 5, -3],\n [10, 5, 4, -4, 1, 8, 0]]\nB =\n[[7, 7, 1, -2, 0, 4],\n [-10, -12, 8, -8, 12, 0],\n [11, -8, -8, 10, -1, -11],\n [10, 3, 4, -8, -1, 2],\n [-7, 0, -2, 4, -4, 12],\n [3, 4, 7, 11, 5, 0],\n [-2, 0, 11, 0, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-286", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 12, -4, 1, -12, -4, -9],\n [-1, 11, 1, -4, -10, -7, -10],\n [-12, 9, 8, -10, 1, 7, -11],\n [-1, -3, 0, 7, -9, 6, 9],\n [-12, 12, -2, 3, 6, 6, -1],\n [-10, 10, 11, 5, 4, -8, 3],\n [11, 1, 6, -7, -10, -7, -1]]\nB =\n[[7, -2, -6, -12, 3, 3],\n [4, 2, 8, -4, -8, 7],\n [-5, 8, -12, -6, -2, 7],\n [8, 0, 9, 0, -6, -2],\n [5, -12, -1, -10, -12, -9],\n [-7, -8, -2, 7, 10, 0],\n [-2, -7, 6, 12, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1188", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[0, -3, -12, 0, -7, 8],\n [11, 7, -1, 4, 5, 11],\n [-5, 1, -8, 9, -11, 12],\n [9, 12, -2, -10, 9, 3],\n [8, 3, -4, 0, -3, 4],\n [12, 8, 4, -3, -5, -6]]\nB =\n[[1, 9, 5, 8, 6, 5, 1],\n [-3, -12, -4, 5, 0, 4, 10],\n [12, 9, 3, 11, -2, 10, -4],\n [-6, 9, -12, -4, -3, 3, 8],\n [5, 1, -2, 11, -9, 6, 0],\n [-12, 8, 6, 2, 7, 2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "984", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, 10, -8, 11, 9, -3, 5],\n [-6, -12, -10, -12, 4, 2, -8],\n [9, 3, -1, 6, 1, -10, 6],\n [-12, 8, -12, -3, -10, 0, -7],\n [-2, -7, -10, 3, -4, -5, -10],\n [-8, 8, 1, -8, 6, -8, 8],\n [7, 7, -11, 12, -6, -12, 8]]\nB =\n[[5, -3, -7, -6, -1, 5, -2],\n [9, 6, 12, -9, 6, 0, 6],\n [-11, -4, -5, 8, 1, -4, 0],\n [5, -7, 10, 9, -10, -3, -3],\n [-3, -4, -1, 11, -5, 11, -4],\n [4, -5, 5, 7, 4, -7, -3],\n [-12, 8, 12, -12, -4, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1208", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[11, -7, -6, -4, -8, 3, -11],\n [-10, -10, 7, 10, -3, 9, -10],\n [2, 1, 10, -9, -3, -2, -2],\n [-5, 10, 10, -4, -5, -1, 4],\n [10, 2, 6, 7, -7, -8, -5],\n [5, 8, 8, 2, -10, 1, 2],\n [0, 8, 7, 8, -4, 10, 4]]\nB =\n[[6, 12, -9, 7, -3, 9],\n [-10, 6, -4, -8, 1, -6],\n [8, -7, 11, -5, -11, 12],\n [1, 9, -6, -10, 7, 9],\n [10, -7, 8, 1, -1, 5],\n [-1, -6, -8, -1, -4, -2],\n [-9, 1, -1, 5, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-70", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[-12, 0, 3, -8, 6, 12, -4],\n [10, -4, -1, 5, 11, -3, 4],\n [6, 11, -2, 3, -5, 11, 2],\n [-2, -6, -11, 6, -4, 5, 0],\n [10, -12, 6, 0, 1, 4, 9],\n [7, -12, -8, 7, 1, 5, 0]]\nB =\n[[10, -1, 2, 11, -9, -4],\n [-10, 9, -2, 2, 3, -6],\n [-6, 9, -4, 4, 0, -4],\n [-4, 7, -1, 8, 6, 10],\n [2, 5, -5, 12, -7, 12],\n [-7, -10, -10, -11, -8, 7],\n [-1, -7, 3, -8, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "113", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, -10, 4, -8, 9, 8, 8],\n [-7, 7, -9, 0, -5, -2, 11],\n [6, 10, -8, -8, -10, -11, -10],\n [2, -6, -10, 2, -2, 3, 0],\n [-11, 7, -1, 8, -6, -12, 1],\n [11, -3, -10, -2, 9, 7, 8]]\nB =\n[[2, -7, 5, 0, 2, -10],\n [2, 11, 11, -12, -3, 11],\n [5, -5, -1, -8, -12, -5],\n [-8, 4, 2, -9, 0, 4],\n [0, 12, -11, 11, -9, 12],\n [-11, -1, 6, 5, -3, -8],\n [-2, -12, -10, 4, 2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4355", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, 2, 3, -9, 6, 11, 12],\n [-5, -7, 3, -10, -5, -8, -8],\n [-1, 12, -12, -6, 11, -2, -3],\n [-10, -5, -12, -5, 10, 7, -2],\n [-6, 3, -6, 0, -3, 4, -10],\n [-6, -2, 0, -8, 12, 10, 6],\n [2, -12, -8, 0, -3, -8, 10]]\nB =\n[[-12, -3, 5, 9, -5, 7, -10],\n [6, 6, -11, 4, 3, 8, -3],\n [8, 3, -8, 7, -10, -10, -11],\n [8, -9, 9, 5, -11, 11, -7],\n [-10, 8, -10, -11, -10, 4, 1],\n [-6, 9, 8, -7, -5, 6, 6],\n [-1, -8, -8, 1, 4, 3, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-258", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[12, -5, -10, 8, -8, 10, 11],\n [12, -6, 5, 11, -5, -2, 1],\n [5, 0, -7, 0, -12, -2, -6],\n [-3, -11, 3, -8, 3, 10, 3],\n [2, -4, -12, -4, -2, -8, -7],\n [-5, 2, 3, 5, -1, 10, -9]]\nB =\n[[12, 9, 3, 10, -2, 9, 11],\n [9, -6, 11, 2, 4, 2, -3],\n [-9, 9, 4, -9, 9, 10, 9],\n [-2, -9, -1, 10, -3, 1, 5],\n [-7, -8, -11, 12, 0, 10, 1],\n [-10, 10, -2, 9, 10, -9, 0],\n [-5, -5, 10, 0, 10, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "257", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[0, 11, 4, -7, -11, 4],\n [-1, 10, -7, -8, -8, 12],\n [-4, 9, -10, 10, 7, -8],\n [-6, -1, -6, -3, -5, 4],\n [-8, 2, -4, 10, -2, 0],\n [5, 4, 11, -4, -3, -8]]\nB =\n[[-2, 9, 2, -11, 8, 7, 11],\n [11, 1, -8, 11, -7, 9, 2],\n [-9, -3, 6, -4, 8, -3, -9],\n [9, -9, -7, -5, 3, -5, 3],\n [-7, 4, -12, 6, 5, 4, 4],\n [-1, -1, -7, -6, -5, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3915", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 1) when matrix A is multiplied by matrix B?\nA =\n[[8, -5, -2, 7, 5, 3],\n [12, 0, -4, 6, -6, 4],\n [-5, -5, -10, 3, -1, 2],\n [8, -9, 10, -6, -2, 11],\n [-8, 0, -2, -8, -5, 8],\n [4, -2, 6, 5, -3, -8]]\nB =\n[[11, 12, 12, -12, 4, 4],\n [-12, 12, -12, 10, 9, -4],\n [12, -9, -4, 1, 2, 3],\n [3, 0, 1, 9, 8, -4],\n [10, -4, 8, -9, -3, -10],\n [8, -4, 6, 3, 3, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-122", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, -3, 8, 6, 9, 2],\n [2, -2, -5, 9, 3, -3],\n [-4, 2, 9, -8, 7, -11],\n [9, 3, 5, 3, -8, -12],\n [6, -3, 8, 0, 10, 11],\n [10, 10, -2, 2, -11, -7],\n [8, -2, 2, -4, -1, -9]]\nB =\n[[10, 11, 1, 9, -10, 8, 4],\n [0, -5, -1, -1, -1, -11, -3],\n [10, -4, -12, -9, 10, 1, 3],\n [12, 5, -11, -7, -10, 7, 6],\n [0, 4, 1, 9, -2, 3, -2],\n [5, -11, 10, 8, -5, 1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4675", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[0, -3, -5, -6, 0, 11],\n [6, 11, 2, 9, -11, 9],\n [-8, 6, -12, -6, 5, -12],\n [-12, -6, 4, 12, -7, 7],\n [-1, 7, 2, 0, -1, 8],\n [-11, 8, 5, -9, -3, -2]]\nB =\n[[8, -7, -7, -4, 7, 0],\n [-8, -7, -9, -7, 5, 0],\n [10, -10, -3, -9, 12, 2],\n [-1, 2, 8, 12, -3, -1],\n [9, -5, 8, 8, -10, -6],\n [5, -10, 2, -11, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3476", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[11, 7, -3, 11, 11, 11, 11],\n [-5, 3, 12, 3, -11, -4, -5],\n [-2, -12, 8, -2, 5, 8, 2],\n [11, -4, -4, -12, -6, -1, 11],\n [-3, 6, 3, -7, -2, 6, 12],\n [6, 5, 12, 2, 3, 1, -5]]\nB =\n[[-5, -11, -7, 0, 0, 8, -1],\n [-11, 8, 7, 12, -1, 4, -7],\n [-6, -7, 8, -9, 8, -4, -8],\n [-3, 2, -5, 10, -9, -8, -6],\n [-7, 0, 6, -3, 2, -10, 5],\n [1, -10, -2, -3, 4, 0, 12],\n [-11, 0, 6, -8, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-139", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, 0, 8, 3, 9, 8, -12],\n [9, -4, 3, 6, 2, 5, 9],\n [-1, 1, -10, -9, -7, 3, 0],\n [-1, 9, -1, -11, 0, -10, 0],\n [12, -11, 6, -4, 7, -12, 0],\n [-11, 2, 6, 12, 12, 3, -2]]\nB =\n[[2, -7, 1, -7, 6, -8, -2],\n [-9, -4, -4, 4, -5, 2, -4],\n [-8, -9, 7, 5, -4, 8, -10],\n [9, -4, -4, 8, 11, -9, 8],\n [-6, -6, 10, -5, 8, -12, -4],\n [12, 10, -1, -7, 0, -8, 8],\n [6, -12, 9, 11, 5, -5, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4972", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 6) of the product matrix AB given:\nA =\n[[-5, 2, 6, -3, 11, 3],\n [-2, -1, 3, 3, 7, -10],\n [-4, -5, -3, 0, 5, 0],\n [0, 2, 0, 3, -5, 6],\n [-3, -1, 1, -7, 8, 11],\n [-4, -6, -7, 9, -12, 8],\n [1, 11, -7, -1, 4, -8]]\nB =\n[[-2, -8, -1, -10, 11, -4, -7],\n [9, -11, -11, 9, -1, -5, -11],\n [-4, 3, 12, 2, 1, 7, -9],\n [-9, -2, 8, 11, 5, -8, -11],\n [2, -2, 11, 4, 3, 2, 10],\n [-10, 7, 2, 11, 6, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "24", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, -1, 4, 3, -4, -7, 6],\n [10, 0, 8, 11, -5, -1, -4],\n [9, -9, 0, -11, -10, -8, 11],\n [5, 8, 1, 12, -11, 2, -5],\n [3, -10, 11, 7, 7, 10, -8],\n [-9, 10, -1, 6, 2, 12, 0]]\nB =\n[[-8, -1, 6, -11, -6, 10],\n [-8, 7, -2, 5, 5, -6],\n [-3, 10, 7, 1, 7, 7],\n [-2, -11, 0, 0, -4, 4],\n [2, 11, 9, 10, 8, 9],\n [9, 3, 12, -3, 7, -1],\n [-8, 7, 4, -3, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-495", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -7, -1, 8, 6, -11, 0],\n [9, 7, -2, 2, 0, -10, 1],\n [-5, -4, 2, 10, 5, -5, -2],\n [-8, 2, 2, -6, 8, 5, -1],\n [-1, -9, -2, 8, -7, 8, -3],\n [2, -12, 4, -10, 12, -2, 5]]\nB =\n[[-3, 8, -4, -6, -2, -5, -11],\n [-8, -4, -12, 4, -3, -5, 5],\n [12, -3, -4, -9, -11, 6, -3],\n [4, -10, 8, 6, 6, 9, 6],\n [6, 2, 12, 5, 4, -3, 11],\n [1, 6, 10, 5, -2, -2, -1],\n [-5, 3, 12, 11, -5, 11, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3296", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, 5, 11, 8, 9, -9, 4],\n [0, -8, -10, -4, 7, 5, 7],\n [6, 6, 8, 3, -12, -8, 11],\n [2, -1, 12, -12, 1, 5, 5],\n [-7, -12, 4, 5, 2, -1, 0],\n [7, -11, -9, -10, 6, 12, -5],\n [-1, -1, -3, 12, -12, -8, 7]]\nB =\n[[-2, -4, 1, -10, -8, 11, 8],\n [-4, 5, -7, 8, 12, -6, 3],\n [-5, 10, -3, -8, -2, 8, 0],\n [7, -11, 1, -4, -3, -3, -3],\n [6, -2, -2, -10, 6, 11, 9],\n [-12, -1, 2, 1, -10, 7, 0],\n [5, 3, -7, -3, 4, 4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-221", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 4) when matrix A is multiplied by matrix B?\nA =\n[[-9, 2, -12, -6, 12, -3],\n [-6, -12, 4, -1, 4, 2],\n [11, 3, 10, 1, -10, 6],\n [-1, 6, 5, 1, 7, 10],\n [-4, -10, 10, -1, 7, 4],\n [-8, -5, 6, -9, 2, 6],\n [2, 1, 3, 11, -3, 11]]\nB =\n[[1, 7, -2, -11, 6, -10, -9],\n [-2, 0, 5, 5, 6, -1, -12],\n [11, -7, -10, 4, -10, -12, -10],\n [-9, -7, -6, 10, 12, -5, 0],\n [-9, -7, -2, -12, -5, 9, -11],\n [-5, 7, -4, -9, 4, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-8, -3, -1, 8, 7, -7, -12],\n [-10, -6, -2, 11, -1, -4, -12],\n [-9, -11, -11, 4, 8, -11, -9],\n [12, -2, 6, 11, 0, 9, 8],\n [5, 6, 11, 2, -1, 12, -2],\n [10, -12, 3, 0, -7, 10, -7],\n [-3, -11, 12, -10, -7, 3, -7]]\nB =\n[[11, 0, -9, 2, -7, -12],\n [-4, -1, 12, 10, -2, 0],\n [-12, 6, 8, -9, -8, 10],\n [12, 4, -8, 6, -10, -2],\n [-11, 9, 1, -7, 6, -12],\n [-6, -11, 11, 6, -12, -4],\n [8, 4, -3, -7, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, 2, 8, 9, 7, -7],\n [-10, -3, -1, -12, 9, 3],\n [4, -3, -1, 6, -5, 10],\n [-5, -3, -3, 5, -3, -6],\n [-9, -12, -2, 6, -8, -5],\n [-11, -11, 11, 1, -4, -3],\n [0, -12, 1, -11, -9, 6]]\nB =\n[[-12, -9, -2, 0, 5, -3],\n [-8, -12, 1, 3, 11, 5],\n [-10, -10, -9, -6, 0, -4],\n [-10, 4, 2, -3, 2, -12],\n [9, 8, -3, -6, -6, -10],\n [-6, -4, -5, -10, -8, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 6) of the result:\nA =\n[[0, -5, 5, -6, -3, -3],\n [10, -2, -1, 0, -5, 4],\n [11, 1, 4, 6, 3, -4],\n [7, -3, -4, -12, 11, -10],\n [-2, -6, 5, 0, 10, 10],\n [12, 5, 3, 11, 3, 8],\n [-3, -4, -5, 6, -10, 11]]\nB =\n[[-4, -11, 6, -5, 5, -5, -8],\n [-7, -3, 2, -9, -10, 11, -4],\n [3, 3, 2, 11, -4, 4, 8],\n [-1, 10, -5, 1, 5, -1, 1],\n [7, 10, -8, -12, 0, 1, -11],\n [3, -8, 9, -12, -1, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 3) of the product of the following matrices:\nA =\n[[9, 10, -3, -1, 6, 3, 4],\n [0, -6, -10, -8, -9, 2, 4],\n [-1, 10, 1, -9, 4, -2, -7],\n [-9, 0, 7, 2, 5, 4, 6],\n [-3, -8, -1, 12, 2, 10, -9],\n [-5, 7, 9, 4, -7, 3, -8],\n [1, -11, 4, -7, -2, -11, 12]]\nB =\n[[12, -12, -8, -5, -9, 6],\n [-8, -8, 11, 3, 9, 5],\n [-2, 4, -10, 5, -9, 6],\n [-4, -8, -9, 3, -3, -4],\n [3, 7, 9, 4, 5, 2],\n [7, -4, -7, -7, -2, 12],\n [7, -10, 10, -1, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "51", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[12, 9, 5, 9, 2, -5, 9],\n [-4, 2, 3, 7, -10, -8, -10],\n [-11, -11, -9, -10, -4, 10, 9],\n [-1, 11, -4, 6, -1, 3, 10],\n [12, -12, -3, 12, 10, -3, -9],\n [-2, 9, -2, -2, 9, -7, 2],\n [-11, 8, 10, 9, -10, -8, 11]]\nB =\n[[-2, 8, -1, -10, -4, -10],\n [-11, -7, 11, -7, 4, -5],\n [-12, 12, -5, 9, 2, 5],\n [0, 12, -5, 7, 5, 0],\n [1, 2, -7, -12, -6, -12],\n [2, -7, -8, -1, -10, 9],\n [7, 1, -7, -9, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6028", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 5) of the result:\nA =\n[[-8, 11, -7, -3, -4, -9, -4],\n [-5, -10, 9, 7, -12, 12, 7],\n [-8, -10, -9, 12, 10, 11, 6],\n [2, 6, 3, 10, -5, 1, -8],\n [-12, 6, -8, -10, 4, -6, 4],\n [0, 9, 9, 1, 10, -1, -2],\n [-12, -10, -1, -4, -11, 1, -8]]\nB =\n[[-10, -1, -1, 8, -6, -12],\n [-10, -2, 0, 9, 10, -3],\n [6, -9, 9, -8, -2, -4],\n [0, 4, 2, 0, 8, -2],\n [-12, -5, 10, -8, 9, 3],\n [-9, 12, 6, 5, 10, -11],\n [0, 3, 9, -5, 6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "148", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 4, -4, 8, 12, 8],\n [10, 4, 12, -12, -9, 10],\n [2, -1, 12, 4, -1, 3],\n [0, -2, 2, 3, -7, -2],\n [2, -8, -10, -11, -12, 2],\n [-11, 7, -7, -1, 8, 3]]\nB =\n[[1, -9, -5, -1, 10, 1, 7],\n [0, -8, -1, -3, 8, 6, 0],\n [-4, -2, -8, 0, -3, 5, 2],\n [7, -1, -9, -8, -5, -8, -12],\n [5, 6, 6, -3, 9, -4, -12],\n [9, 12, 7, -10, 0, -7, -7]]\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[[5, -8, 4, 12, 12, -10, -8],\n [-10, 10, 0, 2, 4, 2, -8],\n [9, 1, -2, 1, -6, -10, 10],\n [7, -3, -2, -7, -8, 7, 9],\n [0, -1, 6, 6, 8, -8, 12],\n [7, 8, -4, -9, 2, -10, 10],\n [-6, 11, 7, 7, 1, 1, -4]]\nB =\n[[10, -10, -4, 8, -9, 4, 12],\n [-7, 3, 5, 0, -6, -10, -7],\n [11, -10, -1, -8, 9, 4, -3],\n [-6, -9, -3, -6, 10, -2, 8],\n [-5, -5, -8, -8, -6, 9, -9],\n [-11, 11, 6, -11, 3, -1, 2],\n [-3, 10, -7, 11, 0, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-436", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-11, 1, 5, -7, 12, 6, 1],\n [0, -5, -8, 0, -7, 9, 6],\n [-2, 3, -8, -1, 4, -11, -3],\n [2, 6, 7, 12, 4, 6, 6],\n [0, 0, 3, 9, 8, -10, -9],\n [-6, -10, -4, -5, 5, 8, 1]]\nB =\n[[7, -8, -10, -3, -2, 4],\n [-5, -4, -5, 7, -11, -9],\n [3, -4, -4, 8, -8, -10],\n [1, 2, -7, 3, 10, -3],\n [1, -1, -4, 10, 6, -1],\n [0, 10, 0, 4, -11, 7],\n [10, -4, 8, -5, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "681", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[6, -10, 0, -7, -2, -9, -10],\n [-9, -10, 0, 2, -1, 2, -2],\n [-2, 0, -1, -7, 10, 7, 6],\n [6, -10, 3, -4, 1, -10, -10],\n [11, 7, -6, 6, 11, -10, 8],\n [-12, -1, 8, -7, -6, -11, 5],\n [12, 2, 2, -3, 4, 5, 5]]\nB =\n[[2, 10, -7, -4, -2, 2, 10],\n [-10, 6, -12, 11, 4, -2, 5],\n [-2, -6, -12, -1, -9, 12, -5],\n [2, -2, -5, -1, -10, 8, -9],\n [-1, -5, 10, 10, -3, 10, -12],\n [0, -6, 7, -10, 3, -1, -8],\n [5, -5, -1, 12, 8, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 1) of the result:\nA =\n[[-3, 10, 4, -3, -10, 12, -11],\n [1, -4, 4, -9, 9, 2, 0],\n [10, 6, -4, -9, 8, -5, 2],\n [1, -10, 11, 4, -5, 1, 0],\n [2, -2, 2, -1, 11, 9, 8],\n [-4, 9, 2, -12, -1, -7, -12]]\nB =\n[[9, 6, 9, 0, -7, 4],\n [0, -4, -5, 2, 5, -11],\n [8, -11, -2, -12, 5, 8],\n [-6, 8, 4, 3, -6, 9],\n [-6, -11, -8, 1, -5, -1],\n [-6, -7, 0, 9, -1, 4],\n [3, -12, -6, -10, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 7) of the product of the following matrices:\nA =\n[[-10, 9, -10, -5, 1, 10, -4],\n [-8, 2, 4, -3, -5, 5, -7],\n [4, 9, -9, 8, 2, -3, 10],\n [0, 9, -12, 12, 9, 9, -4],\n [-8, -2, 9, 9, 10, 12, 8],\n [8, -9, 7, 3, 11, 5, -5]]\nB =\n[[-11, 4, -3, 0, 2, -4, -5],\n [-7, -9, 5, 11, -10, -9, 8],\n [0, 7, -2, -5, 12, 1, 1],\n [3, 1, -12, -11, 7, -12, -2],\n [-7, 2, -1, -8, 10, -1, 9],\n [1, 1, 6, -8, -10, 12, 5],\n [-7, -4, -6, 8, 5, -11, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, -1, -11, 0, -5, 10, -6],\n [-10, 10, -5, 8, -12, 2, -12],\n [-1, -2, 3, -9, -11, 10, -10],\n [-9, 12, 5, -1, 11, -12, -10],\n [-9, -7, 4, -5, 5, 3, 8],\n [-7, 11, 6, 12, 8, -5, -9],\n [-4, -5, 8, 6, -12, 8, 8]]\nB =\n[[-9, -3, -5, -10, -1, -4, -10],\n [-9, -7, -4, -11, -11, 5, 8],\n [9, -10, -10, 5, -7, -12, 12],\n [2, -2, -3, -9, 1, -11, 0],\n [3, -1, 9, -8, 6, -10, 8],\n [7, 8, -11, 4, 8, -2, -12],\n [6, -5, -2, -5, 12, 4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "305", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 6) of the result:\nA =\n[[-7, -6, 8, 0, -6, -2, -3],\n [-5, -3, 9, -2, 7, 4, -2],\n [3, -8, -3, 7, -8, 7, -4],\n [-10, -10, -3, -6, -11, 12, -5],\n [-1, 9, -4, -2, 6, 7, 10],\n [4, 0, -12, -12, -5, 0, -7],\n [-10, 3, -3, -6, 9, 8, -10]]\nB =\n[[1, 3, -9, 0, -12, 12],\n [-8, 5, -1, -2, -4, -6],\n [1, 11, -10, 3, -6, -12],\n [-7, -7, -3, -1, 9, 6],\n [-7, 1, -10, -3, -4, 10],\n [7, 6, 9, 2, -4, 6],\n [-5, 9, -9, -8, 6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-219", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[5, 12, 6, -7, -8, -2, 11],\n [-8, -5, -8, -2, 0, -7, -8],\n [5, -3, 3, 9, 1, 10, 2],\n [-10, -10, -1, 10, 2, -2, -3],\n [7, 2, 5, 12, 1, 12, -7],\n [1, 3, -11, 6, -8, -2, -2]]\nB =\n[[8, 12, 6, 5, -5, 10],\n [-1, -4, -10, -7, 8, 8],\n [11, -12, 4, -10, 5, 5],\n [-11, -9, -12, -3, 12, -8],\n [-8, -4, 1, 8, 0, 0],\n [11, -12, 4, 7, -5, -10],\n [4, -1, 12, 12, 12, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "315", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[5, 1, -2, 3, -9, 5],\n [-6, -2, 3, 3, -10, 12],\n [10, 11, -4, -5, -6, 12],\n [4, -2, -9, -9, -8, -5],\n [-3, 4, -7, -4, -3, -5],\n [2, 5, 10, -8, 5, -12]]\nB =\n[[-11, -3, -7, 11, 6, 8, -2],\n [5, 3, -5, -9, -2, -3, 3],\n [-1, 9, -10, -2, 11, 3, 11],\n [-10, 12, -3, 8, 3, 12, -6],\n [2, 2, -3, -10, -7, 5, 9],\n [-8, 3, 0, -10, 2, 10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3803", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-7, 12, 9, -9, 2, 5, -4],\n [7, -9, 3, 5, -8, 0, -7],\n [9, 6, -1, 2, -4, -6, 1],\n [6, 7, 3, 10, 11, 9, -9],\n [-1, 5, -5, 4, 12, 11, -10],\n [-9, -3, 3, 7, -11, -1, 3]]\nB =\n[[-3, -8, -1, -10, -1, -12],\n [-11, -2, -1, -6, -12, 0],\n [0, -11, -3, 10, -12, -6],\n [0, 11, -11, 7, -6, 4],\n [9, -8, -2, 9, 11, -2],\n [-2, 4, 6, 12, -5, 7],\n [1, -3, 12, -6, -11, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "480", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-12, 0, 6, 1, 5, 7],\n [1, 2, 1, 11, -8, 3],\n [-8, 9, 0, 3, 2, -8],\n [8, 10, -7, 0, 3, -3],\n [-11, 0, 4, -12, -9, 5],\n [-7, -1, 12, 11, 7, 0],\n [-11, 4, 10, -3, 6, 9]]\nB =\n[[-8, 8, -1, 5, -4, -2],\n [-9, -3, -12, -11, -4, 10],\n [5, 3, 10, 1, -9, -11],\n [-1, 7, -8, -9, 2, -10],\n [9, 4, -5, -1, 8, -5],\n [7, 7, -8, 8, -7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4100", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -5, 9, 5, -9, -9],\n [-8, 2, -7, 8, 3, 1],\n [1, 3, 9, 11, -9, -2],\n [6, 12, 6, -5, -3, -8],\n [3, 12, -10, -3, 11, 0],\n [-6, -1, 10, 1, -3, -4],\n [-1, 11, -10, 0, -7, -7]]\nB =\n[[8, 6, 12, -6, -9, 9],\n [-8, -12, 5, 4, -4, -4],\n [8, 11, -3, 7, 4, 0],\n [-9, 10, 5, 5, 9, -4],\n [-10, -6, 2, -4, -4, -9],\n [5, 4, 9, 8, -7, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[12, -3, -3, -7, -7, 6],\n [-5, -4, -12, 3, -7, 10],\n [-5, 2, -1, -3, 3, 2],\n [-2, 11, -6, -5, -2, -4],\n [-6, 2, 2, 3, -10, 3],\n [2, 12, -12, 1, 11, 9]]\nB =\n[[-2, -10, -4, -7, 10, 3],\n [-2, 5, 4, 4, -10, 6],\n [11, 10, 2, -3, -5, 4],\n [-9, -5, -11, 10, -5, 12],\n [-6, -4, 5, 4, -12, -1],\n [-9, 4, -6, 11, -10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "61", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[6, -11, -7, -2, 10, 12, 8],\n [-9, -12, -2, 3, -7, -2, -5],\n [7, -12, 1, 8, 8, -11, -7],\n [-4, 1, 9, -5, -10, -3, 5],\n [7, -4, -4, 6, 0, -12, 4],\n [-9, -9, 3, 3, 2, -7, -8]]\nB =\n[[9, -3, -6, -6, -3, -3, 12],\n [2, -7, 11, -11, -5, 12, 7],\n [2, 8, 8, 5, -8, 12, -9],\n [-3, 6, 1, 10, 11, 0, -3],\n [9, -7, 0, 8, -2, 9, 12],\n [2, -11, 2, 6, 4, 7, 5],\n [-7, 2, 4, 11, 9, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 10, -8, 1, 11, -5, 12],\n [9, 4, -4, -10, 12, -6, -1],\n [-10, -4, 1, 10, 10, 10, 5],\n [-2, -9, -5, 5, 0, -9, -3],\n [-5, -1, 6, -1, 9, -11, 11],\n [-5, 0, -12, -10, -11, 10, 10]]\nB =\n[[7, -5, -10, 12, 8, 2, -11],\n [12, 4, 11, -7, -12, -9, 6],\n [-6, 10, 9, 1, 1, -3, 11],\n [-6, 3, -9, -6, 2, 4, -10],\n [3, -11, -6, 12, 3, 8, -4],\n [-1, 11, -12, 1, -2, 5, 9],\n [-8, 2, -6, 12, 1, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4936", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 2) when matrix A is multiplied by matrix B?\nA =\n[[-9, -10, -1, 5, 11, 2],\n [-2, 11, -2, -1, 6, 4],\n [-7, 8, -5, 2, 9, 7],\n [-3, 2, -1, -2, 5, 11],\n [-8, -1, 11, -8, 9, -3],\n [1, 3, -8, -2, 6, -5],\n [6, 7, 9, 5, 10, 8]]\nB =\n[[-1, 0, 8, 8, 5, 2],\n [2, -1, -4, 6, -1, 10],\n [-8, 8, 7, -3, 9, -6],\n [10, -2, -5, 8, -6, 3],\n [3, 1, 2, 7, -4, 3],\n [3, -8, -10, 8, 12, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 4, -8, -7, -11, 9],\n [1, 12, -9, -10, -4, 5],\n [-1, -4, 5, 0, 1, -3],\n [-10, -6, 5, 3, 4, 12],\n [-7, 12, -1, 6, -10, -10],\n [5, -2, -7, 6, -8, 0]]\nB =\n[[-8, -10, 6, 4, 9, -10, 2],\n [4, 0, 1, 3, 12, -2, 4],\n [-8, 8, 2, 5, 3, 1, 1],\n [0, -12, -7, 10, -2, -2, 12],\n [3, 11, -10, 12, 4, 9, 1],\n [-11, 12, -4, -5, -2, -6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-638", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-11, -9, 10, 1, 0, 9],\n [12, 0, 0, -8, -1, -7],\n [9, 1, -5, 11, 9, -5],\n [-6, 4, 8, -2, -3, 0],\n [-3, 8, 1, -4, -6, -6],\n [5, 3, -5, 3, 6, 2],\n [12, 2, -7, -4, 2, 12]]\nB =\n[[-6, -5, 5, 8, 3, 2, -10],\n [-12, 0, 9, -1, -4, -11, -4],\n [-5, 12, -8, 0, -11, -3, -7],\n [-6, -10, 1, 3, -7, 9, -5],\n [-12, 7, 2, 4, 11, 5, 11],\n [-10, 11, -7, 4, 10, 0, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4892", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 4, 8, 3, 4, -12],\n [3, -7, -5, -12, -11, 2],\n [-8, 11, 7, 2, 8, -3],\n [-8, -10, -7, 8, 2, 5],\n [1, -3, -9, -2, 7, -6],\n [2, 10, -4, 2, -1, 5],\n [-7, 5, 12, 5, 9, 11]]\nB =\n[[-7, 2, 6, -8, -9, 4],\n [8, -3, -1, -8, -6, -1],\n [10, -11, 7, 4, 0, -8],\n [-8, 7, -1, -1, -6, -7],\n [-3, 6, 3, -11, -9, -4],\n [-8, -12, -2, 6, 12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4342", "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, -12, -9, -4, 3, -6],\n [-8, 0, -2, 1, 9, 4],\n [10, -1, 8, 10, 8, 8],\n [6, -8, 11, -5, -11, 4],\n [-11, 10, -10, 11, 7, 11],\n [5, 2, -8, 9, 4, 1]]\nB =\n[[-12, 1, -4, -8, -9, -12, -10],\n [7, -2, 3, -2, 8, -3, -1],\n [-8, -3, 11, 0, 6, -6, 3],\n [-7, -3, -3, -2, 9, -3, 12],\n [1, 2, -6, 0, -2, -6, -2],\n [1, 4, 3, -12, -4, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3670", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, 2, 3, -2, 11, 12],\n [4, 6, 0, -7, 2, 3],\n [-9, -5, 12, -6, 4, 3],\n [-11, 4, 12, -9, 1, -5],\n [-8, -8, -8, -8, -10, -7],\n [-12, -5, 0, 7, -7, 5],\n [5, 3, -5, 4, -5, 2]]\nB =\n[[-3, -12, -4, 4, 7, 12, -12],\n [-4, 1, 11, -8, -7, -8, -9],\n [3, 3, -3, 1, 0, -9, 1],\n [11, 11, -4, -10, -3, 2, 11],\n [6, -11, -11, -4, -9, -8, -11],\n [12, -6, 6, -7, 10, 3, 1]]\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[[-1, -7, 9, 0, 2, 11, 1],\n [-5, 8, 7, -2, 8, -4, -1],\n [-7, 6, -10, -12, 2, 2, -8],\n [9, 11, -2, 12, 10, -12, 10],\n [-3, 12, 7, -2, -6, 12, 4],\n [-1, 12, -9, -1, 11, -10, 5],\n [-1, 11, 11, 6, 0, 3, -5]]\nB =\n[[-7, -3, 12, -3, -7, -5, 5],\n [4, -3, -11, -1, 7, -3, -4],\n [3, -6, -4, 12, 12, 11, -7],\n [-3, -6, 5, -2, -12, 8, 11],\n [6, 10, -8, 11, -7, 9, -6],\n [10, -9, 3, -3, 2, 0, -5],\n [9, 0, 11, -6, 4, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5640", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 12, -11, 8, 12, 12, 9],\n [10, 12, 1, 1, -5, -7, 9],\n [-6, -6, -11, 12, -9, 0, -3],\n [-4, 2, -1, -3, 6, 8, -8],\n [-6, 7, -2, 3, 0, -9, 3],\n [0, -12, 9, -9, 2, 8, 12],\n [3, -9, 4, -2, 12, -8, 0]]\nB =\n[[-1, 10, -10, -9, -3, -4],\n [-3, 0, -12, -1, -2, 8],\n [-5, 10, 1, 1, 7, 10],\n [4, 9, 12, 6, 7, 11],\n [8, 8, 4, -7, 1, 5],\n [4, -7, -8, 0, 3, 8],\n [-4, -1, -3, 0, 6, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "530", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[4, 3, 1, 3, 11, 2, -1],\n [-8, -2, -8, 11, 11, -2, -11],\n [6, 4, 6, -1, 7, 10, 12],\n [-8, -1, 3, -12, -11, -3, -11],\n [12, -3, 10, 5, -12, -8, -1],\n [4, 12, 6, 5, 0, 9, -10]]\nB =\n[[8, -3, 1, -5, -3, -11],\n [0, -8, -2, 11, -12, -3],\n [0, -9, 8, -3, -1, 1],\n [-10, -11, 6, -2, 8, -6],\n [5, 1, -6, 9, -6, 10],\n [-4, 10, -1, -7, 11, -6],\n [9, -9, 3, -6, -5, -5]]\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, 12, -10, -4, 6, 0, -6],\n [7, 8, 2, 6, -11, -1, -5],\n [10, 10, -5, 0, -12, 11, -3],\n [8, 11, -4, -11, 6, 9, 12],\n [1, -3, -3, -5, 1, 0, -7],\n [8, 0, -10, 7, 0, 10, 10]]\nB =\n[[6, 3, -9, -10, 2, 2, 5],\n [9, -6, 7, -8, -5, 12, 10],\n [-3, -12, -2, -10, 8, -10, 2],\n [4, 5, -5, 10, 0, -3, -10],\n [7, 1, 0, -10, 0, 7, 11],\n [12, 10, -4, 12, 3, 10, 10],\n [-5, -1, -1, 6, 11, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2877", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 5, -6, 0, 6, 3, -2],\n [-8, -11, -12, 3, -8, 12, 12],\n [-6, -4, -9, 6, 7, 2, -6],\n [11, 5, -8, 8, 12, 0, -10],\n [-7, -1, 8, 5, 5, -9, 7],\n [10, 1, 1, -12, -2, 9, -4],\n [5, -8, -3, 2, -3, 3, -9]]\nB =\n[[-9, -5, -7, 10, -2, 12],\n [0, 6, -2, -11, -10, 2],\n [11, 0, 12, -3, -8, 11],\n [-2, 10, 1, 12, 7, 2],\n [0, -10, -4, -5, 2, 10],\n [-12, -11, -4, 8, 4, -4],\n [-12, -5, -8, -2, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4871", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 1) of the product matrix AB given:\nA =\n[[5, 10, 5, -8, 12, -8],\n [6, 0, 9, -6, 1, -5],\n [-10, -9, -3, -9, 5, 10],\n [-1, 7, 7, 2, 0, -1],\n [-5, 9, 9, -4, 7, -4],\n [4, 12, -12, 10, -7, -6],\n [-4, -3, -9, 3, -1, -4]]\nB =\n[[-10, -4, 4, 1, -8, 8],\n [-12, -12, -10, -4, 10, -7],\n [-4, -9, 7, 6, -8, -8],\n [1, -3, 10, 3, 10, -7],\n [7, 10, 1, 5, -4, -6],\n [5, -3, -11, 0, -7, 10]]\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[[-4, 7, -5, -3, 3, 2, 0],\n [5, -7, 7, 11, -4, 5, -6],\n [10, 11, -8, -2, 0, -10, -12],\n [-9, 6, 5, -7, 10, -3, -6],\n [-1, -5, 0, 5, 1, -2, -3],\n [-7, 0, 9, -3, -1, -12, 5],\n [0, 12, 11, -9, -7, 5, -8]]\nB =\n[[5, -8, -6, 10, -4, -10],\n [-1, 7, 12, 1, -5, -1],\n [-6, 11, -4, -1, -9, -8],\n [-4, -6, 1, 7, 9, 4],\n [-12, 12, 2, 11, 2, -12],\n [2, -11, -9, 4, 3, 5],\n [8, 3, -5, -7, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4223", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-11, 6, 0, 9, 9, 8],\n [-7, -7, 0, -12, 9, 8],\n [11, -4, 9, -1, -1, -9],\n [6, 3, -1, -12, 10, 8],\n [-9, -4, -6, -3, 0, -5],\n [7, -3, -3, -5, 7, 2]]\nB =\n[[-12, 2, 11, 4, 0, -1, -10],\n [10, 6, 11, -8, -10, 8, -8],\n [11, -4, -7, 3, -3, 3, -10],\n [5, -2, 6, 12, 10, 2, -2],\n [12, 9, 11, -3, -4, -10, 10],\n [-4, 5, -1, 10, 8, 11, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3810", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -12, 0, -5, -7, -5],\n [6, 11, 11, -1, -12, -9],\n [10, 0, 4, 6, 6, 9],\n [-8, -2, -6, -10, -2, 4],\n [-2, 2, 6, -5, 3, 8],\n [2, -10, 11, -7, -10, -8]]\nB =\n[[-12, 9, 1, -1, 0, 1],\n [12, -1, 10, 0, 11, -7],\n [8, 2, 9, 10, 3, -4],\n [-5, -8, 2, -6, 11, 4],\n [3, 11, -2, -6, -2, -11],\n [-11, -7, -10, -12, 11, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "672", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 5) when matrix A is multiplied by matrix B?\nA =\n[[7, 3, 1, 4, 5, 12],\n [-9, -10, -5, -9, 10, 2],\n [0, 1, 1, -8, -8, 9],\n [0, -9, 5, -7, -8, -10],\n [7, -10, -10, 7, -11, 7],\n [5, -3, 11, 8, -6, 7],\n [9, 1, -3, 7, 3, -7]]\nB =\n[[4, -7, 9, 5, -3, -3, -4],\n [9, 2, -2, -6, 5, -11, -11],\n [0, -2, 12, 6, 7, -12, 4],\n [7, 5, -5, 0, -9, 6, -10],\n [-7, -7, 9, -7, 11, -5, 12],\n [4, -3, 11, -8, 6, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 9, 11, -3, -11, -4],\n [-8, 8, 4, -7, -2, -8],\n [-6, -6, -9, 8, -3, 11],\n [5, -12, 1, -7, -2, 1],\n [7, -10, 3, 3, -6, -5],\n [-9, -1, -1, -3, -1, -2]]\nB =\n[[-2, 2, -7, -2, -11, 11, 9],\n [-4, -2, 3, 0, 0, 9, 9],\n [5, 8, 12, -12, 7, -3, 6],\n [4, -12, -12, 4, 2, -11, -2],\n [8, -11, 7, -4, 6, -11, 3],\n [7, -4, 7, 8, -9, 11, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "180", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, 7, -11, 7, 5, 12],\n [11, -4, 7, -12, -10, 10],\n [4, -2, 11, 12, -5, 8],\n [-1, -2, 0, 2, 12, 7],\n [12, 4, -1, 6, 7, -2],\n [-3, 4, 9, 0, 3, 7]]\nB =\n[[7, 4, -8, -4, 9, 11],\n [-9, -4, 3, -6, 1, 1],\n [-6, 11, 3, 5, -7, -6],\n [6, -5, -12, 4, 6, 9],\n [-6, 5, -7, 8, -7, -12],\n [-3, 10, -5, -6, -4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, -2, -10, 5, -7, -2, -8],\n [7, -9, -5, -3, -10, 0, 4],\n [-8, -5, 6, 5, -12, -9, 5],\n [1, 11, -2, -4, 0, 4, 2],\n [-11, -7, -6, -11, 11, 0, -3],\n [3, -4, -5, 12, 2, 9, -6]]\nB =\n[[9, 10, 6, -9, -4, 6, -11],\n [-6, 9, 6, -7, 2, -6, -7],\n [-12, 1, -12, 12, -7, 5, 4],\n [-11, -5, 8, 10, 10, -11, 3],\n [-9, -11, 10, -8, 4, -11, 9],\n [1, 7, -6, 2, 5, 0, -1],\n [-11, -1, -7, 11, -12, 8, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "802", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, 3, 9, -6, 9, 1, 12],\n [6, 11, 6, 10, 0, 8, -1],\n [-12, -1, -9, 2, 12, 3, 2],\n [-5, 6, 2, 5, -2, -4, -12],\n [-4, 10, -1, -11, -2, 8, 1],\n [-11, 2, 8, 10, 8, 5, 1],\n [8, -1, -3, 1, 9, 2, -8]]\nB =\n[[-11, 9, -7, -1, -11, -9, -6],\n [3, -12, -12, 1, -2, -1, -2],\n [-7, 10, -1, 8, -1, -3, -5],\n [7, 6, -6, 1, -9, -12, -5],\n [-8, -5, -5, 8, 11, -6, 6],\n [-9, 10, 7, -7, -1, 5, -1],\n [5, -10, -3, -6, -10, 6, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-144", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, -3, -7, -12, -7, -5, 2],\n [-5, 9, -7, 6, 1, -11, -6],\n [-5, -3, 0, 9, 8, 7, -12],\n [-4, -3, 7, -11, 7, -2, -8],\n [5, -6, -10, 3, 2, -5, 7],\n [-8, -10, -8, -4, 3, 1, 5],\n [-6, 2, -5, -10, -2, 7, 5]]\nB =\n[[2, -3, 12, -10, 2, 12, 10],\n [-7, -2, -2, 6, 10, -10, 0],\n [9, -5, 8, -2, -2, 0, -10],\n [-7, 11, -3, 6, -1, 1, -2],\n [8, 12, -3, -10, 0, 5, 0],\n [11, 1, 1, -6, -1, 12, -9],\n [3, 6, -3, 3, -8, 3, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4539", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 0, 0, -10, 4, 6],\n [-8, -8, 2, -3, -1, 11],\n [-2, -12, 10, 8, -10, -9],\n [6, 11, 7, -10, 5, -10],\n [-6, 9, 8, 11, -12, 6],\n [5, -11, -1, 4, 8, 8],\n [-10, -1, 12, -1, -7, -3]]\nB =\n[[9, -7, 1, -11, -2, 2],\n [-5, 9, 0, 6, -3, -4],\n [5, -6, -10, -1, 2, 9],\n [8, 0, -7, -5, 1, -10],\n [3, 5, 11, 4, 5, -3],\n [4, 3, 8, 11, -11, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4024", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, -2, -6, 4, 12, 6, -7],\n [-3, 8, -9, 12, 12, -12, -6],\n [12, 8, 3, 4, 11, -8, 9],\n [10, -3, -6, 0, -6, 2, 4],\n [10, -10, -8, -3, -8, 11, -6],\n [-6, 9, 10, 1, 10, 2, -8]]\nB =\n[[-8, -9, 7, 8, -4, -1],\n [3, 9, -5, -4, -1, 7],\n [-6, 8, -9, 10, -10, -12],\n [-6, -4, -11, -6, -3, -11],\n [0, -10, 0, -3, -1, -10],\n [7, -7, -10, 12, -11, 10],\n [9, 1, 2, 5, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4179", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 5) of the product of the following matrices:\nA =\n[[-3, 7, 4, 4, 6, 11, -9],\n [-2, 4, 11, -3, 9, 4, -1],\n [-3, -3, -7, 4, 6, -11, -9],\n [5, 8, -9, -7, 1, -6, -1],\n [-11, 5, 11, 0, 0, 12, -8],\n [-6, -1, 12, 1, -12, 11, -3],\n [12, -4, -3, -6, 3, -1, -1]]\nB =\n[[6, 0, 8, 5, -10, -6, -12],\n [-10, 8, 1, -9, 6, 9, -7],\n [7, -4, -2, 9, 2, -4, -2],\n [-3, -11, 9, 1, -9, -11, -8],\n [1, 2, 6, -7, 2, 1, -5],\n [7, -1, -9, 8, -7, -2, 10],\n [9, -6, 12, -9, 2, -12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[10, 7, -5, -1, -6, 5, -12],\n [-4, -6, 1, -12, 0, 7, 2],\n [-8, -8, 1, 1, 1, -8, -2],\n [6, -8, -9, 2, 8, -6, -8],\n [2, 1, 11, 11, -10, -8, -1],\n [7, 1, -8, 11, -9, 8, 3],\n [-6, -10, 9, 12, -9, 7, 9]]\nB =\n[[-7, -10, -12, -10, 11, -5],\n [3, 9, -6, 5, -4, -10],\n [5, 3, 8, -12, 8, 7],\n [3, -1, -7, 8, -4, 8],\n [0, 11, -1, 0, 5, 6],\n [6, 6, -7, 3, -6, -6],\n [10, 6, 3, 4, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-881", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 3, 6, 2, -10, 2],\n [12, 3, 7, -8, 6, -3],\n [0, 2, -1, 4, 2, -9],\n [2, 4, -2, 10, 10, 2],\n [7, 8, -6, 0, 9, 0],\n [7, 7, -11, -3, 5, 7],\n [-8, 7, 6, -11, -9, 3]]\nB =\n[[8, 3, 4, 2, 0, -12],\n [9, -8, 7, -12, -1, 10],\n [2, -9, 6, 3, 10, 5],\n [4, -2, 7, 0, 11, 9],\n [-4, 4, 4, -8, 9, -5],\n [-10, -7, -10, -5, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-11, 12, -3, 2, 0, 11],\n [2, 9, 6, 5, 0, 7],\n [7, -12, 12, 3, -5, 10],\n [-7, -10, 7, 3, -11, 10],\n [-11, 2, -3, -12, 9, 7],\n [2, 11, -12, 12, 9, 3],\n [5, 11, -8, 8, -8, 10]]\nB =\n[[10, -3, 10, -1, -3, -11, 11],\n [-12, 3, 5, -6, -9, -3, -3],\n [12, -2, 12, -10, 1, 0, 6],\n [12, -3, 2, -5, 4, -7, -6],\n [1, -5, -1, 5, 1, -12, -9],\n [4, 5, 6, -9, -7, -5, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-351", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 7, -12, -8, 3, 8],\n [12, -7, 8, -3, -3, -8],\n [-5, -12, -8, -12, -6, 2],\n [10, 11, 1, 10, -4, -5],\n [-5, -10, 7, -9, 4, -7],\n [-11, -4, 1, -12, 4, -2],\n [-7, -12, 6, 3, 5, -2]]\nB =\n[[-4, 8, -7, -11, -5, 9, 3],\n [-5, -5, 1, -12, -6, -11, 2],\n [11, 5, -9, 5, 10, -8, 3],\n [0, -4, -8, -5, 5, -10, -7],\n [-2, 10, 1, 11, 6, -6, 11],\n [-3, 2, -7, 7, -7, 3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[6, 5, -8, 3, -6, 6],\n [-8, 7, -2, 10, 5, -6],\n [5, -10, -8, 10, 0, 3],\n [9, -1, -6, 9, 0, -12],\n [2, 8, -1, 4, 10, 7],\n [-8, 4, 11, 2, 7, 6],\n [-12, -9, -10, -5, -4, -1]]\nB =\n[[-8, -4, -12, 10, -2, -6, 9],\n [7, 12, 1, -10, -2, 4, 5],\n [6, 5, -7, 2, -6, -8, -8],\n [-6, 9, -1, -5, 12, 5, 5],\n [4, 10, -2, 2, 7, 12, -7],\n [-1, 10, -6, -5, -9, -10, -10]]\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 sum of absolute values of all entries of the result:\nA =\n[[-3, 11, 2, 0, 6, -5, 5],\n [-8, 8, -6, -8, 12, 6, 12],\n [4, 6, -9, 9, 11, -6, 11],\n [9, -7, 1, 9, 6, 7, -2],\n [9, -6, -10, 7, 9, 4, -2],\n [2, -6, 2, 4, -2, -1, 0],\n [-2, -2, 12, -4, -2, 12, -9]]\nB =\n[[-11, 10, -9, 1, -8, 4],\n [-1, -7, -1, 2, 10, 6],\n [-3, -11, -1, -1, -6, -12],\n [5, -10, 7, -8, 7, 2],\n [-3, 6, -12, -6, 9, 5],\n [-11, 6, 11, 11, -3, 2],\n [-3, -3, -1, -5, 10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4705", "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, -7, -5, -12, -10],\n [2, 4, 12, -6, 1, 11],\n [12, -10, 5, 9, -8, 7],\n [9, 2, -7, -10, 5, 12],\n [11, 7, 9, -10, -5, 6],\n [5, 2, 10, 1, 3, -10]]\nB =\n[[12, 2, 6, -5, -11, 12],\n [4, -1, 6, -2, 5, 0],\n [1, -1, 2, 10, 8, -5],\n [-11, -5, 10, -8, -11, -3],\n [10, -3, -9, -9, -5, -7],\n [12, 2, 5, 8, 9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3930", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, -6, 10, 7, 4, 6],\n [-11, -1, 6, -8, -1, 4],\n [-8, -11, -9, -7, -4, 9],\n [-3, -2, -11, 11, 8, 12],\n [-4, 7, 4, -4, 12, -5],\n [-8, -8, -7, 3, -12, -4]]\nB =\n[[8, -6, -2, 2, 11, -8, 6],\n [-7, 10, 1, 7, 12, 1, -2],\n [-9, -3, -11, 12, -9, 7, -3],\n [-12, 1, 5, -1, 6, 10, -1],\n [12, -8, -9, 0, 5, -1, 3],\n [10, -7, -6, 11, -4, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-771", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[8, -9, -2, 6, -6, 0],\n [0, 8, 10, 5, 12, 12],\n [-4, 0, 0, -8, -1, 12],\n [-12, 5, 8, 8, 9, 11],\n [4, -3, -4, 7, -5, 2],\n [0, 8, 4, -4, 11, 8],\n [-2, -9, 11, 12, -6, 7]]\nB =\n[[10, 9, -10, -3, -10, -12, 1],\n [0, -8, -5, -1, -7, 11, 10],\n [-11, 11, -9, -8, -2, 0, -5],\n [8, -8, -7, 2, 10, 12, 3],\n [-2, -6, -7, -1, -9, 1, -2],\n [-1, -11, -2, 0, -2, -4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -8, -1, -10, 3, 6],\n [4, -2, 8, 6, 5, -4],\n [0, -7, -10, 10, -1, -4],\n [-4, 2, -12, 5, 2, -5],\n [-2, 4, 1, 6, 10, 11],\n [-8, -11, 2, 6, 12, 3]]\nB =\n[[0, -6, 4, 6, 12, -6, -1],\n [0, 0, 1, 2, -11, -7, -4],\n [2, 7, 3, -11, -10, 10, 7],\n [10, 8, -5, -5, 8, -6, -2],\n [9, 0, -5, -4, 3, -8, 10],\n [1, -12, 11, 6, 4, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "738", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 4) of the product of the following matrices:\nA =\n[[0, -5, -10, -12, 6, 2, 8],\n [-5, -4, 0, -1, -4, 7, 11],\n [-2, -8, 6, 8, 5, -2, -2],\n [-7, -12, 9, 8, -4, -6, -7],\n [10, -3, -8, -12, 2, 12, -8],\n [7, -7, -8, 4, 5, -9, 11]]\nB =\n[[8, 10, -11, -5, -8, -9, 12],\n [9, 1, -9, -5, -10, 1, 5],\n [10, -1, 2, 7, 7, -4, -11],\n [-12, 2, 10, 2, -5, -10, -11],\n [-9, 5, -1, 5, 8, -3, 8],\n [-5, 12, 5, 4, 6, -7, 1],\n [-8, -5, -5, 5, -4, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "106", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, 1, 4, -11, 1, 9],\n [8, -1, 10, 12, 3, 9],\n [-7, 5, -6, -11, 0, 10],\n [-5, -1, -12, -4, -5, -4],\n [-8, 0, 1, -9, 4, -4],\n [7, 2, 7, -9, -11, 0]]\nB =\n[[-9, 5, 11, 3, 10, -3],\n [-11, 1, -11, 5, -12, 0],\n [-7, 9, 4, 4, 9, -2],\n [-7, 7, -10, 1, 12, -7],\n [4, -10, 4, 6, 5, -8],\n [2, -10, 10, -5, -6, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 10, -3, 6, 10, -12],\n [-11, -12, -4, 2, 5, 5],\n [9, -6, 1, 5, 7, 6],\n [-8, -4, 5, 0, -8, 11],\n [9, 7, 2, 11, 6, 7],\n [-2, -4, 8, 9, 3, -2],\n [-11, 12, -5, 10, 12, 8]]\nB =\n[[-8, -2, -2, -4, -2, -8],\n [-4, -12, -3, -5, 6, 3],\n [0, 11, -8, 5, -4, -9],\n [1, -6, -1, 11, -6, -2],\n [9, 2, -6, 7, 4, -8],\n [-5, -3, -7, 8, -11, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4358", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-3, -10, 0, 3, 2, -11],\n [-10, 7, 5, 7, 7, 2],\n [9, -8, 10, -2, 10, -10],\n [-4, -6, 10, -11, 2, -1],\n [3, 3, 3, 6, -10, 9],\n [7, -9, -12, 9, -5, 11]]\nB =\n[[2, 11, 8, 9, -8, 7],\n [-1, 7, 7, -9, 9, 2],\n [-7, -8, -2, 1, -2, -4],\n [11, -3, -7, -2, -4, -8],\n [-3, 7, 1, -7, -9, 11],\n [10, 8, -3, 9, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 2) of the product of the following matrices:\nA =\n[[-6, 5, 12, -6, 11, 8, 2],\n [6, 5, 2, 5, -10, -12, -12],\n [-6, -3, -1, -5, 9, 10, 4],\n [1, 4, 12, 8, 10, -7, 7],\n [4, 7, -5, 0, 3, -1, 4],\n [5, -5, 5, -2, 0, -1, 2],\n [12, -10, -10, -7, -10, -4, -2]]\nB =\n[[-5, -9, 9, 11, 7, 2, -8],\n [-6, -5, -6, -5, -9, -12, 9],\n [-8, -2, -9, -11, 4, 12, -1],\n [-11, -4, -7, -7, 5, 9, -10],\n [2, -6, 0, -3, -9, 3, -4],\n [8, -3, 6, 4, -12, 0, -9],\n [2, -3, 7, -4, -5, 7, -7]]\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 value at position (7, 6) of the result:\nA =\n[[10, -3, 11, 7, 4, -8],\n [1, 4, -2, -9, 10, 10],\n [4, 12, -11, 8, 9, -12],\n [5, -6, 9, -7, -7, 1],\n [10, -1, 1, 1, -1, -4],\n [-4, -11, 5, -8, 10, -1],\n [1, 0, -10, 2, 2, -10]]\nB =\n[[7, 6, 2, 6, -5, 10],\n [0, 10, -3, -11, -2, 12],\n [9, 6, -4, -4, -7, -3],\n [9, 11, -5, 2, -7, -6],\n [7, 4, -9, -5, 0, 11],\n [1, 5, 10, 4, 5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, -2, -3, 0, 7, 3],\n [1, -10, 5, -7, 7, -10],\n [6, -10, -1, -5, 12, 12],\n [-8, 4, -3, 8, 4, -4],\n [0, -3, -5, -6, -11, -11],\n [-9, -4, 12, 1, 11, -2],\n [8, -6, 12, 6, -9, -11]]\nB =\n[[12, 10, 9, 8, 10, 6],\n [8, 5, 8, -6, -2, -3],\n [-2, 10, -4, -10, 11, -8],\n [10, -12, -12, 7, -8, 6],\n [-7, -10, 8, 0, 4, -10],\n [10, -10, 8, 10, 0, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5705", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, 7, 3, 8, -1, 12],\n [-4, 3, -9, 12, 7, 5],\n [-12, -6, 7, -1, -5, -5],\n [11, 9, -4, 1, 7, -8],\n [7, 8, -11, 8, -3, 11],\n [-4, -6, 10, 9, 5, -1]]\nB =\n[[-2, -3, 0, -4, 3, 8, 9],\n [4, -8, -7, -3, -2, -11, -6],\n [1, -9, -8, 6, 8, 7, -3],\n [-7, -11, -10, 2, -3, 4, -6],\n [12, -11, -6, 2, -10, -8, 9],\n [-5, -9, 5, 6, -5, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4122", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -8, 4, -7, 0, -4, 11],\n [-1, -3, -12, -2, -7, -10, -7],\n [-4, 9, -5, 2, 9, -7, 10],\n [-2, -3, -2, -9, 0, -5, 7],\n [2, -6, -12, 12, -4, 10, -5],\n [-11, 1, -1, 10, 4, 6, -7]]\nB =\n[[8, -8, 12, -7, -10, 3],\n [5, 1, 12, 2, -9, -2],\n [-8, -4, -8, -6, 5, 5],\n [7, 11, -11, 10, 0, 0],\n [4, 12, 9, 4, -7, 1],\n [8, 1, -1, -8, -8, -9],\n [10, 12, 0, -9, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "913", "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, -11, 10, -9, 7, 4],\n [7, -7, 5, 7, -6, 0],\n [-4, -11, -5, 1, 9, 11],\n [5, -12, 10, -4, -4, -11],\n [3, -9, 0, 4, -2, 10],\n [-11, -9, -1, -11, -12, 10],\n [-7, 3, -11, 1, 7, -1]]\nB =\n[[6, -10, 6, -2, -9, 4, 4],\n [-6, -8, 6, 12, 8, 6, -4],\n [4, -4, 1, -8, 9, -11, 11],\n [2, 3, 6, -12, 10, -1, 6],\n [7, 2, -8, -12, -2, -4, -6],\n [-11, 4, 3, 3, 1, -11, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5198", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -5, 8, 12, 6, 3, 9],\n [-9, -5, -12, -9, -6, 12, -12],\n [11, 5, -9, 7, 1, -5, 5],\n [-6, -10, 12, 8, 1, -1, 2],\n [-5, -8, 4, 12, -3, -2, 10],\n [3, 3, -9, 10, -8, -3, 1]]\nB =\n[[-4, 5, 7, -7, -2, 8],\n [4, -4, 12, -10, 3, 7],\n [-9, 11, 9, 2, -11, 7],\n [4, 6, 7, 3, 11, 6],\n [8, 4, -9, 5, -9, 8],\n [-10, 9, 5, 8, 7, -8],\n [-4, 9, 10, 11, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1415", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, 8, 11, -11, 12, 5, 0],\n [8, 3, -7, 3, -9, 11, -3],\n [6, -2, -8, 5, -10, -5, -2],\n [8, 6, 8, 12, -10, -1, 2],\n [10, 11, 3, -8, 6, -7, -1],\n [6, -4, 5, -10, 10, 1, 11]]\nB =\n[[8, -8, -8, -9, 12, 9],\n [3, 0, -5, 11, 8, 3],\n [12, -11, -5, -10, 10, -4],\n [-2, 8, 11, 7, -12, -12],\n [9, -5, 3, -3, -11, 3],\n [-9, 6, -4, -10, -2, -5],\n [-6, -12, -5, 12, 11, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "436", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-2, -6, -4, 1, -8, 5, 11],\n [12, 10, 0, -8, -5, 2, 9],\n [-9, -12, -7, 11, 6, -1, -6],\n [0, -6, -4, -12, 8, 11, 0],\n [6, 8, -12, 12, 7, 8, 6],\n [5, 10, -8, -10, -11, 9, -3],\n [-7, 6, 12, 4, 6, 0, 4]]\nB =\n[[10, 5, -2, 7, 7, 0, 11],\n [-2, 7, 6, -3, -10, 8, -7],\n [-6, 8, 10, 7, -8, 9, -4],\n [9, -3, 1, -2, 4, -2, -6],\n [-2, 0, 6, -7, -11, 1, 3],\n [-6, -12, -11, -4, 12, 10, 5],\n [8, 7, 5, 5, -3, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5765", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-5, -11, 5, -2, -2, 6],\n [-2, -3, -5, 2, -5, 6],\n [-12, 10, 7, -10, 8, -1],\n [3, 9, 3, 4, 3, -4],\n [9, 6, -12, 12, 5, -7],\n [-7, -1, -10, -2, -7, 1]]\nB =\n[[5, 3, 11, 0, -12, -7, 1],\n [4, 12, 0, 0, -4, -7, -7],\n [12, -8, 12, 8, 1, 1, -9],\n [-11, -11, 4, -3, 1, 6, 4],\n [9, -2, -6, -4, 1, 10, -9],\n [1, 7, 11, 7, 4, 12, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-232", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 5) of the result:\nA =\n[[4, 12, 1, 0, 1, 3],\n [8, 2, 12, 6, 9, -2],\n [-1, -2, 10, -8, -5, -7],\n [3, -1, -7, 0, -6, -5],\n [-1, -11, 10, -4, 0, 4],\n [0, 3, -12, -6, 0, 1]]\nB =\n[[8, 4, 3, 2, 4, -11],\n [12, -1, -10, -4, -7, -7],\n [-6, -5, -10, 11, 2, 9],\n [-7, -2, -10, 3, -7, -2],\n [-5, 10, -3, -3, 10, -10],\n [1, 6, 8, 8, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 8, -1, 1, -8, -7, 0],\n [0, 11, -7, 1, -2, 0, -1],\n [3, -7, -4, 4, 7, 3, -1],\n [5, -4, -10, -3, -2, -11, -5],\n [7, -2, 5, 7, -6, 1, -6],\n [-12, -1, -12, -10, -11, -10, -9],\n [1, 10, 5, 10, -8, 2, 3]]\nB =\n[[-5, 11, 8, -5, 12, -6],\n [-7, -6, 10, 6, 9, 9],\n [12, -12, 0, -6, -12, -3],\n [0, -9, -6, -7, -7, 8],\n [-2, 10, -4, 9, -6, -4],\n [10, -7, 6, 1, -12, 3],\n [-4, 10, 2, 6, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "231", "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, -10, 6, 0, 1, -6, -11],\n [1, 10, 10, 4, 0, -11, -8],\n [-9, -10, 1, -2, -5, 10, -4],\n [3, -10, -3, -12, -4, 3, -4],\n [-1, -12, 3, -5, 1, 1, -3],\n [-12, -7, -4, 6, 9, 3, 6]]\nB =\n[[-2, 8, -2, 1, -6, -1],\n [7, 7, 10, -8, -12, -2],\n [2, -3, 2, 0, 2, -11],\n [9, 0, -1, 12, 10, -9],\n [-1, 2, 0, -11, 7, 3],\n [1, 8, -11, 4, 3, -9],\n [-2, 0, -7, 4, -12, -4]]\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[[8, 5, -2, 1, -11, 7],\n [-2, -11, -9, 0, -7, -6],\n [9, 7, -10, -9, 8, 7],\n [-10, -12, 6, 8, 0, 1],\n [9, 3, -9, 4, -3, -6],\n [0, 12, 0, 9, 1, -7],\n [3, -4, 7, 3, 8, 8]]\nB =\n[[-1, 3, -8, 11, -2, -12],\n [-3, -2, 2, -10, 11, 2],\n [-2, -4, -11, -1, 7, 3],\n [11, 3, 8, -12, 3, -7],\n [1, 12, 12, -2, -12, 7],\n [4, 10, 6, -11, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[12, 10, 9, -7, -4, -8],\n [-8, 5, 9, 1, -1, -1],\n [9, -7, -9, 2, 10, 2],\n [12, 4, -10, -3, 12, 8],\n [9, -5, -4, 11, -10, -12],\n [-2, 0, -1, 8, -6, -11]]\nB =\n[[-12, 7, -10, -9, 4, 5, 4],\n [6, -9, 4, 9, -11, -3, -1],\n [0, -2, 8, -5, 7, -8, 12],\n [-11, -1, -11, -7, 9, 6, -1],\n [12, 0, 4, -1, -10, 11, -5],\n [3, -9, 11, 0, -5, -12, -10]]\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 value at position (6, 1) of the result:\nA =\n[[-12, 2, 5, 7, -10, 2, 9],\n [-8, 8, -3, -6, 10, 12, -5],\n [-10, 5, 4, 3, 9, 0, -9],\n [-10, -2, -11, 5, -9, 4, -7],\n [-3, -2, -8, 12, 5, 12, 12],\n [-3, -4, 3, -3, -3, -9, 8]]\nB =\n[[11, 1, -5, -12, 3, 4],\n [-3, -7, -6, 5, -11, 8],\n [-4, -8, -5, 11, -8, 11],\n [2, -5, -8, -8, 7, 4],\n [-4, -11, -12, 9, 8, -2],\n [2, -12, -6, 10, 6, 11],\n [2, -7, 7, -3, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-29", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, 6, 4, 0, -11, 5, -2],\n [-8, -9, -11, 3, 12, -6, -5],\n [-5, -11, 2, -8, 6, -3, -4],\n [12, 9, 7, -5, -8, 6, 0],\n [1, -5, 3, 9, -8, -12, 6],\n [10, 6, 4, 11, 10, 8, -3],\n [-8, 9, -6, 3, -10, -1, 1]]\nB =\n[[7, -12, -6, 5, 10, 9, -9],\n [3, -2, 5, 10, 3, -6, 8],\n [12, -10, 12, -8, 5, 12, 4],\n [-12, 3, 2, 0, -6, -10, 11],\n [10, 0, 3, 10, -12, -12, 3],\n [-11, 5, 8, 12, 10, 5, -8],\n [-8, -5, -4, 11, 1, 0, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-35", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[-9, 5, 9, 7, 2, -6, 0],\n [-11, -4, -8, -12, 6, 7, 6],\n [9, 0, -7, -3, -2, 10, 12],\n [3, 12, 10, -12, 6, -8, -7],\n [-7, -8, -7, 12, 0, -12, -12],\n [12, 1, -5, -4, 10, -3, -7]]\nB =\n[[-4, 5, 2, -9, -11, -7, 4],\n [-6, 10, 10, 7, 2, 11, 8],\n [-11, 8, -1, -3, 12, 4, 5],\n [3, -3, -5, 8, 12, 9, 0],\n [3, -5, -1, 4, 3, -4, 12],\n [6, 4, 11, -5, -1, -4, -7],\n [12, -3, -4, -9, -2, 8, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "183", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 5, -9, -1, -4, 2],\n [10, -4, -7, -2, -6, 12],\n [1, 3, 2, 7, -4, 6],\n [-1, -2, -5, -10, 6, -10],\n [12, -10, -7, -2, 7, 1],\n [-11, -1, 3, -10, 8, 3],\n [-3, 7, -8, 0, -1, -12]]\nB =\n[[7, -2, 6, 2, 5, 3, -6],\n [-3, 12, 3, 4, -6, -2, 4],\n [-8, -12, -10, 3, 11, 2, -9],\n [-1, -12, 4, 11, 2, 11, 7],\n [7, -3, -2, 5, -11, -7, 3],\n [11, -6, 10, 6, -1, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "304", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -9, 4, 4, -9, 8],\n [-8, -12, 6, 9, 10, -2],\n [-12, -5, -9, 12, 9, 2],\n [4, 5, -10, 5, -6, 4],\n [12, 5, 7, -5, -2, -10],\n [12, -6, 2, -3, -1, -1]]\nB =\n[[6, 6, 2, 8, 8, -8],\n [0, 12, -4, 9, 10, -3],\n [-5, -4, -7, 11, 5, -3],\n [11, 2, 0, -2, -11, -5],\n [5, -10, 10, 12, -10, 8],\n [12, -6, 5, 8, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-556", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[5, -12, -9, -9, 4, 10, -11],\n [2, 0, -4, -6, -1, -1, 1],\n [10, 2, -12, -4, 3, -4, 3],\n [-11, -3, 12, 5, 0, -11, 0],\n [11, -10, 2, -10, 10, -3, -7],\n [10, 9, 1, -4, 5, -5, -7]]\nB =\n[[2, 1, 2, 7, -7, 9, -1],\n [-3, 6, -5, -8, -3, -2, 7],\n [1, 1, -11, 4, 2, 10, -10],\n [-10, -10, -10, 5, -7, 1, -10],\n [-12, -3, 0, -4, 9, 9, 12],\n [-11, -3, 12, -1, 6, -10, 6],\n [-12, 2, 10, 0, -6, -11, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4052", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -2, 10, 3, 1, 10],\n [2, 7, 6, -6, -4, -9],\n [-7, 10, -3, -10, 8, -12],\n [-7, -8, 10, 2, 12, -2],\n [7, 12, 0, -7, -8, -11],\n [4, 11, -1, -1, 9, 1]]\nB =\n[[-6, 9, 1, -6, -4, 1, 8],\n [4, 4, 12, 8, 0, 5, 6],\n [4, -7, -1, -7, -10, 2, -10],\n [10, 2, -12, 8, -10, -8, 1],\n [-9, 9, -4, 5, -3, -5, 0],\n [-11, 7, 12, 7, -6, -2, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "618", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 5) when matrix A is multiplied by matrix B?\nA =\n[[5, -5, -3, -11, -10, 10, -8],\n [3, -3, -2, 6, 3, -1, -11],\n [-2, 9, -12, 11, -8, 8, 1],\n [5, -6, -8, -5, 8, 2, 12],\n [-8, 0, 6, -11, -8, -8, -7],\n [3, -11, -8, 2, -12, 6, -10]]\nB =\n[[6, 2, -10, -5, 2, -12, -7],\n [9, 4, 3, 0, -12, -10, 11],\n [-7, 7, 8, -10, 2, 2, -2],\n [9, -7, -7, -4, 1, -2, 11],\n [-7, 5, 7, 2, 9, -4, -2],\n [-11, -7, 10, 1, 1, 11, 0],\n [12, -8, -4, 12, -2, -6, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-11", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[11, -1, -8, 11, -11, 1],\n [-6, -8, -9, -3, 3, -7],\n [8, -7, -4, -12, 3, 4],\n [0, -7, -11, -5, 10, 9],\n [-9, -4, 10, -6, 8, -12],\n [1, -11, -5, -2, -8, 5]]\nB =\n[[-1, 8, 11, 7, 6, -8],\n [-6, -11, 4, 0, -2, -8],\n [0, 10, 0, -5, -2, -5],\n [-3, 12, -2, -12, -6, -5],\n [-7, 1, 7, -6, -10, -11],\n [9, 5, 9, -10, 1, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "142", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 7) when matrix A is multiplied by matrix B?\nA =\n[[0, -5, -9, 2, -1, 1],\n [7, -6, 11, -1, -4, -3],\n [-5, 7, -11, 3, 8, 10],\n [5, 7, 9, 11, -3, -7],\n [-7, 9, 7, 0, 6, 4],\n [-11, 5, -6, 1, 9, 2],\n [-5, -4, 8, -2, -10, 7]]\nB =\n[[1, -5, -10, 5, 10, 1, 7],\n [-5, 4, -5, -8, -1, -11, 4],\n [0, 9, 1, -4, -4, -4, 7],\n [-7, -1, -3, 9, -8, 5, -6],\n [0, -12, -7, 8, 8, -5, -4],\n [-6, -3, -5, -11, 5, 2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 11, 1, 12, 12, 9],\n [11, 5, 11, -10, -12, 10],\n [-12, 1, -12, -12, -9, -1],\n [2, -9, -3, -2, -7, -3],\n [-1, -10, 2, 3, -3, 9],\n [10, -2, 3, 4, 1, 3],\n [1, -7, -3, 4, 10, -3]]\nB =\n[[8, -3, 1, 7, 4, -4, 2],\n [-6, -11, -9, 7, 11, 5, -2],\n [-8, -5, 9, 7, -8, -11, -8],\n [-10, -1, 6, -6, 6, -9, 10],\n [1, 6, 5, -6, 2, 8, -12],\n [-1, 11, 6, 10, -7, 0, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "399", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[0, 2, 3, -5, 0, 0, 7],\n [7, -1, 6, 4, -10, 2, 4],\n [-7, 11, 6, -1, -9, 8, 10],\n [-1, 9, -11, -6, 3, 11, -1],\n [3, 1, -12, 9, -4, -6, -8],\n [-3, -3, 12, 5, -6, 12, 5]]\nB =\n[[0, -2, -3, 9, -4, 2, 1],\n [-10, 11, 1, 8, 3, 10, -10],\n [-5, -11, 11, -11, 10, 5, -6],\n [4, -7, -3, -6, -9, -2, 3],\n [4, -7, 7, 6, 7, 9, 8],\n [5, 2, -11, 6, -7, -1, -12],\n [10, 11, 10, -2, 6, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-679", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 6, 8, -7, -5, 9, -4],\n [-3, -3, -3, -9, 5, -1, 12],\n [-2, 3, 6, -2, 10, -9, -1],\n [4, 11, 0, -9, -7, -6, -5],\n [-11, -4, -3, 6, -12, 3, 5],\n [-5, -3, 9, -2, 4, 12, -6],\n [-10, -6, -7, -10, -5, -12, -8]]\nB =\n[[11, 6, 0, -2, 9, -2],\n [-11, -4, -11, 8, 6, -1],\n [-4, -4, 10, -3, -8, -4],\n [10, 5, -3, 4, -3, 1],\n [-9, -3, 11, 9, 5, -8],\n [-4, -7, 3, 9, 10, 3],\n [-2, 8, 2, 6, -10, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1217", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[8, 7, -8, -4, -8, -9, 0],\n [7, 4, 7, -1, 7, 12, 7],\n [-6, -12, 3, -6, -11, -1, -2],\n [-5, -12, -10, -5, -5, -2, 8],\n [-8, -5, 8, -4, 4, -8, 6],\n [6, -11, 6, 10, 2, -5, 11]]\nB =\n[[-5, -12, 1, -2, -6, 5],\n [2, -3, -9, 8, -12, 1],\n [7, 7, 12, -4, 0, 4],\n [11, 7, -9, -8, 5, 4],\n [8, -6, -3, -4, 0, 5],\n [-1, -5, 10, 5, -8, -6],\n [2, -10, 5, -7, -7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 8, 4, -2, 11, -11, 12],\n [-4, 6, -7, 12, -6, -9, -10],\n [-11, -3, -3, 4, 3, -12, -1],\n [7, 7, 12, -3, -12, 3, -2],\n [-9, -10, 12, 0, 8, 2, 12],\n [-3, -7, -2, 12, -12, 7, -9]]\nB =\n[[-3, 9, 2, -12, 8, 2],\n [-10, -12, -7, 6, -9, -1],\n [12, -11, 4, -7, -1, 2],\n [4, -12, 1, 10, -11, -9],\n [7, -11, 9, 1, 5, -5],\n [7, -12, 3, -6, -7, 9],\n [6, -3, 10, -7, -3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4828", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[6, -10, 7, -10, 7, -7],\n [4, 5, -3, -7, 0, -7],\n [-1, 1, 4, 9, 12, -5],\n [-8, -9, -7, -2, -8, 9],\n [1, -3, -2, -10, 10, -5],\n [8, -8, 7, 8, -3, -5]]\nB =\n[[8, -4, 2, -12, 10, -8],\n [2, -9, 6, -3, 10, -11],\n [-8, 5, 10, -7, -3, 2],\n [10, -4, 0, 5, 12, -6],\n [-11, 3, -11, -9, -11, 4],\n [-7, -3, 1, 2, 8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3536", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -2, -12, 12, -5, 9],\n [-7, -1, 7, 3, 5, -1],\n [7, -11, -6, -4, 5, -4],\n [12, -5, -12, -8, 3, 1],\n [0, -2, 7, 10, 0, 2],\n [11, 3, 0, -5, 5, 6]]\nB =\n[[2, -3, 10, -9, -7, -5, 11],\n [-6, -1, 5, 5, 6, -9, -12],\n [-8, -6, -2, 8, 10, 8, -2],\n [-3, 11, -6, 3, -12, -12, -1],\n [3, -8, 1, 5, -4, -11, -1],\n [12, -3, -11, 2, -9, 6, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-218", "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, -4, 0, -3, 1, 12],\n [-10, -10, 7, 3, -4, 1, 9],\n [3, -4, 11, 10, -8, 0, 2],\n [12, -9, 1, 7, 11, 7, -6],\n [-9, 4, -4, -9, -10, 6, -4],\n [-5, -6, -6, -9, 6, -1, 7]]\nB =\n[[-7, -1, 7, -9, -11, 2, 10],\n [-7, 5, 8, 9, -8, -9, -2],\n [-2, -4, -10, -2, -11, -4, 11],\n [12, -3, -2, -10, 4, -2, 4],\n [6, -9, -11, 11, 1, 2, -10],\n [7, 9, 0, 9, 0, 5, 9],\n [7, 8, -6, 10, 3, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4750", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -7, -9, -10, -12, -10],\n [6, -4, 1, 6, 11, 11],\n [6, 0, 9, 3, -5, 11],\n [3, -4, -4, 11, 10, -10],\n [-6, 7, 5, 11, -11, -12],\n [-1, 3, -1, 8, -3, -4]]\nB =\n[[8, 5, -9, -5, 10, 8, -9],\n [3, 8, 10, 8, -5, -6, 10],\n [12, 11, 0, -5, 9, -6, 11],\n [-8, 5, 10, 6, -3, -2, -5],\n [-7, -2, 3, -9, -11, 0, -6],\n [4, 10, 0, -3, 0, -3, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "279", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-3, 3, -10, -9, -9, -9],\n [3, -4, -7, -3, 12, -9],\n [10, -1, -3, -1, 12, 6],\n [6, 9, 11, -12, -9, 0],\n [-5, 9, 1, 3, -11, -5],\n [0, -12, -1, 4, -6, 3],\n [1, -3, -10, -1, -5, 3]]\nB =\n[[12, 11, -12, 4, -7, -12],\n [11, 2, 0, -7, 8, 0],\n [9, -9, -12, 10, -3, 12],\n [-9, 0, -9, 3, -4, -9],\n [7, -5, -9, -4, -2, 11],\n [-8, -4, -5, -9, 7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-213", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[7, 0, 11, -8, 9, 7, 8],\n [-3, 3, -5, -1, 12, -10, -9],\n [4, 8, 7, 9, 9, 0, -7],\n [-10, 1, -6, -10, -7, 0, 1],\n [2, 3, -12, 2, 11, -6, -4],\n [2, 1, 6, 11, 5, -4, -12],\n [-1, -3, -6, 1, -12, 2, 9]]\nB =\n[[-12, 0, 7, 10, -11, -10, -9],\n [3, 9, -1, 12, -9, 9, -1],\n [-6, 7, 9, -10, -8, -1, -1],\n [7, 10, 9, -6, 9, -1, -11],\n [1, 10, 3, 11, -6, -9, 7],\n [-8, 1, -4, -8, -11, -8, -10],\n [-3, -5, -3, -11, 1, -9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "187", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, 7, 1, 3, -8, 3],\n [-9, -10, -12, -9, -4, -12],\n [3, 10, -10, 11, -7, 0],\n [4, 2, 8, -1, -5, 3],\n [-10, -9, -6, 2, -2, 3],\n [9, 1, 10, 0, -4, 12]]\nB =\n[[5, -10, 7, 9, -8, 9],\n [11, -11, 9, 12, 8, 4],\n [3, 11, 7, 11, 0, 7],\n [-2, -5, 12, 8, -8, -11],\n [12, -9, -10, -11, -10, 3],\n [7, -4, -7, 2, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "222", "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, -10, 10, 0, 9, 2],\n [-2, 3, 2, 11, -7, 1, -2],\n [7, -3, 3, -1, -6, -6, 11],\n [5, 2, -7, 6, -5, 7, 2],\n [-9, 5, 0, 9, 9, -12, -5],\n [6, 4, -3, -12, -12, 8, -8],\n [-12, 8, 10, 8, 12, 7, 0]]\nB =\n[[-4, 3, -5, 1, 4, -9, -6],\n [4, 11, 3, 1, 3, -11, 11],\n [2, -2, 0, -9, 11, -12, 2],\n [-1, 8, -4, -6, -10, 3, -9],\n [10, 1, 9, 0, 7, 6, -11],\n [-3, 12, 6, 2, -6, 2, 4],\n [11, 3, 4, 3, 5, 4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4915", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 3) of the result:\nA =\n[[-11, 4, 4, -11, 9, -11],\n [2, 3, -2, -11, -5, 8],\n [11, -1, 1, 1, 11, -1],\n [-11, 1, 10, 12, -1, 11],\n [-4, -5, 7, 3, -3, -6],\n [2, 12, -4, -9, 10, -7],\n [-1, 2, 6, 9, 11, -11]]\nB =\n[[6, 11, 7, 7, -11, 2, -1],\n [-12, 10, 1, -9, 9, 11, -2],\n [-6, 0, 1, -6, 9, -2, 7],\n [7, 12, -2, 8, -4, 12, -9],\n [-11, -11, 12, -4, 6, 2, 8],\n [8, 5, 3, -11, -1, -12, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, -6, 4, 2, 4, -4],\n [0, -11, 2, 7, -2, 6],\n [1, -9, -2, 3, 10, -11],\n [-11, -4, 9, 10, 8, 8],\n [-9, -5, 10, 5, 2, -11],\n [9, -2, 4, -6, -5, -3]]\nB =\n[[11, -10, 0, 10, 4, 0, 6],\n [9, -4, 8, 3, -8, -4, -4],\n [-7, 8, -3, 5, -2, 11, 11],\n [2, -6, 1, -5, 6, 2, 6],\n [5, 4, -10, -10, -6, -3, 12],\n [4, 2, -5, 4, -10, -9, -5]]\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[[0, -12, 5, -2, 8, -7],\n [3, 8, 6, 10, 4, 5],\n [-2, 1, -1, 12, 7, 11],\n [12, -6, 4, -8, 9, 1],\n [11, 0, 11, -1, 1, 12],\n [-4, -9, 9, 6, -12, 0],\n [-7, -12, 12, 9, 4, -10]]\nB =\n[[4, -11, 9, -6, -12, 8],\n [9, 2, -9, -7, 8, 0],\n [10, 0, 7, -12, -11, -7],\n [-2, 5, 0, 8, -1, 7],\n [-6, 7, -6, 11, -6, -11],\n [-2, -12, 8, 0, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-665", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 2) of the result:\nA =\n[[-6, -1, 4, -5, -10, -6],\n [6, 7, -5, 1, 1, -11],\n [-7, 3, -4, 12, 8, 2],\n [6, 2, 9, -1, -4, 3],\n [-7, 7, 2, 0, 8, 10],\n [-3, 1, -10, -1, 12, -12],\n [11, 8, 3, -3, -4, 5]]\nB =\n[[-12, -3, -6, -3, -1, -2, -4],\n [-8, -9, 7, 0, -5, 3, -12],\n [4, 2, 11, 2, 5, -7, -11],\n [-8, 6, -6, -4, -11, -6, 11],\n [1, 11, 10, 2, -1, 7, -9],\n [0, -4, -1, -3, -4, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-181", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 12, -1, 3, 2, -6, -5],\n [-6, -2, -9, 5, 6, -6, 0],\n [-4, 5, -6, 7, 3, 10, -8],\n [-6, -7, -11, -6, 8, -4, 0],\n [4, 4, 2, 5, 11, 2, -2],\n [12, -1, 10, 4, -1, -6, 11],\n [-6, 8, 10, -3, 3, -2, 3]]\nB =\n[[-11, 12, -11, 5, -8, 1],\n [-5, -7, -4, -7, 8, 4],\n [-5, -10, -1, 0, 5, 10],\n [-2, -11, 1, -12, 2, 5],\n [9, 5, 4, -12, 1, 7],\n [11, 9, 3, -9, 9, -7],\n [12, 3, 7, -7, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-64", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, 10, -2, -12, -5, 1],\n [-8, 0, 2, -4, -5, 6],\n [4, 6, 5, 5, -9, -11],\n [11, -8, 4, 9, -6, 3],\n [-12, -1, 6, -4, 3, -6],\n [2, -1, -9, -7, -7, 2]]\nB =\n[[-10, -11, -8, -5, 6, 8],\n [3, 6, 10, 3, -7, 9],\n [-12, 5, 9, -5, -8, -1],\n [5, -8, 12, 9, 0, 8],\n [9, -1, 3, 1, -2, -4],\n [10, -3, 3, 6, -3, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-365", "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, 8, -5, -2, -7, -9],\n [8, 10, 11, -8, 5, 9],\n [12, -10, -6, 11, 9, -1],\n [-10, 4, -10, -2, -7, -2],\n [-9, 4, 9, -12, -1, 11],\n [-10, 3, -10, 1, 4, 6]]\nB =\n[[-6, 11, -2, 3, 11, 6],\n [-8, -12, 12, 11, -3, 5],\n [-3, -12, 0, -9, 12, -1],\n [11, 3, 6, -1, -7, 3],\n [-1, 12, 11, -3, -8, 12],\n [12, 6, -1, -5, -9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3925", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, 10, -8, -2, 4, 11, 8],\n [-10, -11, 6, 12, -11, 1, -12],\n [3, 2, 5, -11, -2, 8, 4],\n [0, -1, 11, -11, 9, 8, 5],\n [-3, -1, 4, 9, 1, 9, 6],\n [0, 11, 12, -10, 12, -5, -8]]\nB =\n[[9, -1, -12, 8, 3, -1],\n [10, 4, -4, 0, 10, -9],\n [-9, 2, -3, 10, -7, -10],\n [12, 2, -7, -2, -11, -11],\n [-12, -2, -8, -7, -10, 7],\n [-8, 7, -4, 6, -8, 10],\n [-1, -1, 3, -6, 1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-478", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-4, 2, 10, -2, -9, -2, -4],\n [-7, 4, -4, 10, -7, -7, -9],\n [7, -2, -10, 11, 11, 5, 3],\n [8, 3, 12, -1, 1, -4, -6],\n [1, 7, 7, -3, -2, -6, 6],\n [6, 8, -2, -7, -5, -12, 10]]\nB =\n[[-5, -8, -3, -11, -9, 9],\n [12, -11, 2, 7, -3, 8],\n [11, 11, -11, -7, 9, 1],\n [-8, 11, -11, 1, 0, -11],\n [10, -4, -10, 2, 10, -10],\n [-1, -7, 6, 4, -7, 6],\n [4, 3, 8, -5, 11, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "67", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[6, -5, 7, 2, -5, -10],\n [3, -10, -12, -5, 11, -4],\n [9, -1, 5, 4, -5, 7],\n [-2, -6, 1, -3, 2, -1],\n [7, 4, -5, 1, 12, 2],\n [12, 12, -2, -1, 7, 3]]\nB =\n[[12, 7, 5, -3, 6, 5, -12],\n [9, -9, 10, -6, -12, 12, -5],\n [4, -5, -8, -12, 2, -9, -6],\n [1, -1, 8, -10, 7, 5, -5],\n [-11, -7, -6, -6, 0, -12, -5],\n [12, 10, 0, 11, 7, 11, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-305", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 0, 3, 11, 2, -2, -1],\n [9, 12, -10, 11, 12, -4, 1],\n [-6, -2, -3, -10, 6, -11, 4],\n [-11, 8, 3, 4, -3, -9, -2],\n [4, 11, -1, 8, -3, 3, -9],\n [-10, -4, -7, -1, -12, 1, 11],\n [-3, 5, 0, -4, 10, 6, -9]]\nB =\n[[-10, -7, -4, -3, -4, 4, -3],\n [-7, 3, 4, -2, 7, -6, -9],\n [12, -3, 8, 1, 12, 4, 1],\n [7, 10, 0, -11, -4, -10, -9],\n [-1, 2, 7, -5, 5, -8, -11],\n [9, -4, 12, 1, -12, 7, -9],\n [4, -3, -11, -7, 6, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-948", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[6, -4, -10, -7, -7, 4],\n [0, 0, -6, -4, 12, 12],\n [5, -12, 9, 9, 7, 0],\n [-5, 8, 10, -4, -12, -4],\n [7, 10, -2, 7, -9, 3],\n [1, 7, 9, 8, 5, 12],\n [9, 9, -4, -12, 10, -10]]\nB =\n[[7, -12, -10, 1, 1, 10, 9],\n [0, -12, 2, 12, 7, -6, 3],\n [7, 10, 8, -12, 2, 7, 2],\n [6, -7, -7, -12, 3, 5, 0],\n [-1, 5, -3, 1, 7, 12, -2],\n [5, 11, -1, 4, 11, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "97", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-12, -12, -7, 6, 11, -9, 9],\n [0, -1, 12, -5, 7, 11, -6],\n [8, -6, -6, 1, 5, 10, 6],\n [11, 11, 12, 7, 6, 12, 12],\n [5, -7, 3, -10, 8, -11, 2],\n [7, -2, 6, 5, 9, -2, -10],\n [-9, -7, -1, 8, -9, -1, -9]]\nB =\n[[-11, -1, 0, 3, -9, -5, -8],\n [1, 2, -2, -3, -3, 11, -7],\n [3, 8, -9, -4, -3, -8, -3],\n [3, -2, -7, -6, -1, 0, 4],\n [-4, -5, 3, 8, -10, -8, 8],\n [12, 10, 0, 5, 8, 3, 12],\n [1, -2, 5, -5, -1, 6, 7]]\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[[-11, -4, 9, -4, 1, 2, -2],\n [0, 11, 12, -8, -7, 10, -8],\n [-12, 12, 5, 10, 11, -5, 4],\n [10, 12, -2, -2, -10, -5, -5],\n [12, 11, 8, 8, -10, 9, -3],\n [6, 1, 5, 10, -10, 7, 1]]\nB =\n[[-2, -3, 11, 1, -12, 3, 12],\n [-7, 5, 3, 6, 3, -8, -1],\n [-7, 12, -11, 3, 8, 10, -2],\n [-1, -2, 10, 7, 6, -5, 5],\n [-8, -1, -3, 2, -8, 4, 10],\n [-9, -1, 5, -5, 7, 4, -5],\n [0, 10, -10, -10, -6, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4627", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, 9, 10, -11, -6, -11],\n [-6, 1, 2, 3, 11, -5],\n [3, 8, -6, -2, 11, -9],\n [5, 10, 0, 4, -1, 5],\n [-3, -6, -1, -1, 0, -12],\n [-6, 3, 3, 8, 3, 3]]\nB =\n[[1, -2, 6, -2, -11, -6, -4],\n [-4, 1, -3, 3, 11, 5, -12],\n [11, -11, 7, -9, -11, -9, 10],\n [-7, 9, -9, 5, -8, -2, 0],\n [-10, 6, 7, -2, -2, 8, -11],\n [9, 2, 9, -5, -11, -5, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3629", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 10, 2, 3, 0, 10],\n [4, 1, 1, -12, 11, -12],\n [-10, 9, 11, 2, -8, -8],\n [-9, 1, 7, -6, 9, 11],\n [2, -2, 1, -7, -3, -6],\n [-3, 1, -8, 9, -12, 6],\n [-5, 6, 4, 6, 3, -9]]\nB =\n[[-5, 12, -9, 0, -6, -12],\n [-4, -9, 1, -4, -10, 2],\n [-8, -12, -2, 6, -8, 9],\n [11, 4, 6, 4, -8, 11],\n [7, -4, 9, -7, 8, 0],\n [8, -2, 10, 11, 10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-954", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[4, -7, -10, 3, 0, -1, 12],\n [-2, 10, -11, 6, -5, 0, 1],\n [2, 4, 2, 8, -3, -12, -1],\n [-4, 10, -8, 9, 2, -10, 6],\n [-6, -6, -6, -11, -11, -1, -8],\n [-9, -6, 3, -10, 8, -11, 4],\n [-4, 7, -5, -1, -6, 1, 3]]\nB =\n[[-12, -3, -2, -6, 5, 6, 1],\n [4, 10, 6, 9, 0, 10, -10],\n [-11, 12, -4, -6, 1, -8, 7],\n [2, 7, -12, 7, -6, -8, 12],\n [-9, -2, 6, -7, 7, 5, -8],\n [7, 2, 8, 12, 7, -7, -9],\n [4, 2, 5, -7, 11, 12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-142", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[9, 6, -1, -4, -5, 2, -12],\n [-11, 12, -10, 6, -3, 12, 1],\n [6, -2, 8, -7, 6, 1, -5],\n [-11, 9, 5, 12, 9, 12, -9],\n [-10, -11, 11, -9, 5, -2, -4],\n [-5, 8, -5, -8, 0, -6, 8],\n [-8, 0, 7, 3, 1, -8, 10]]\nB =\n[[6, -9, 11, 9, 11, -2],\n [-11, 0, 3, -4, 3, -6],\n [3, 0, -8, 2, -6, 5],\n [7, 10, -11, -5, -3, -3],\n [-2, 8, 8, -5, 3, 3],\n [4, -7, 5, 4, -1, 2],\n [-6, 1, -9, 4, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-654", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-3, 2, -7, 3, -1, 6],\n [3, 1, -7, -4, 9, -12],\n [9, -5, -6, 1, -5, -2],\n [11, -4, 6, -6, -7, 5],\n [-8, 6, -2, -8, 12, 11],\n [12, -4, 11, -5, -2, 9]]\nB =\n[[-7, 2, -7, 9, -2, 2, -1],\n [-4, -3, 2, 4, 3, 9, -5],\n [4, -2, -2, -7, 12, 9, -11],\n [-12, 7, -7, 12, -8, 10, 9],\n [9, -4, -8, 5, 11, 6, 2],\n [2, -4, 1, -8, 4, 2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, 4, 11, 11, 12, -4],\n [0, 9, 0, -8, 1, -6],\n [12, -8, -1, -10, -4, -3],\n [-12, 1, -12, -3, -2, 7],\n [-11, 10, -11, 10, 11, -2],\n [-5, -10, -4, 3, 3, -3],\n [-7, 7, 11, 7, 7, -2]]\nB =\n[[-5, 7, -12, -7, -5, 1],\n [-10, -11, 9, -12, -2, 8],\n [-7, -5, -6, -7, 5, -1],\n [-5, 11, 8, 6, 11, -8],\n [6, -4, 12, -1, 2, 10],\n [0, 11, 0, 8, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "806", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-11, 6, -5, 1, -7, 12, -6],\n [1, -7, 3, -9, -6, 3, -9],\n [-6, 8, -11, 10, -5, -3, -11],\n [-7, -9, 8, -12, -7, -1, 1],\n [2, 11, 5, 4, -4, 2, 5],\n [11, 8, 5, -8, 3, -4, 9]]\nB =\n[[-10, -1, 11, 1, -12, -4],\n [-4, 7, 0, -5, -2, 1],\n [3, -2, 6, 9, -3, -5],\n [-2, 12, -5, 12, 7, -3],\n [4, 10, -2, -1, -3, 7],\n [4, -10, -6, -10, 4, 10],\n [-5, 8, 9, 6, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-607", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 0, 5, 10, -2, 10],\n [-1, -5, -1, -12, 5, -11],\n [-1, 6, 10, -6, -6, -12],\n [5, -5, 12, -3, 10, -12],\n [2, 2, -9, -3, -5, 1],\n [0, 8, 4, -6, -7, -4],\n [7, 7, -5, 1, 7, -10]]\nB =\n[[10, 0, 8, -4, 8, -4],\n [9, 9, -2, -7, 10, -1],\n [-9, -9, 12, 10, 9, 4],\n [-6, -7, 7, -5, -6, -5],\n [-4, -12, -10, 5, 6, -2],\n [3, 5, -7, 12, -11, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1480", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-8, 8, 1, -12, 9, 1],\n [8, 0, 9, 3, -9, -7],\n [-4, -12, 9, 4, 10, -9],\n [-7, 3, -6, -8, -4, 11],\n [6, -12, -5, 7, 10, -9],\n [10, 4, -12, -11, 8, 1],\n [9, -11, -12, 12, 0, 10]]\nB =\n[[-5, 9, -4, 11, 7, 8, -11],\n [4, -7, -10, 7, 4, -7, -5],\n [1, -3, 7, -3, 2, -5, -2],\n [3, -10, 2, 0, -2, 1, -6],\n [6, 2, -7, 7, 9, -6, 11],\n [1, 9, -9, -4, -6, 12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-10, -8, 4, 11, -12, -12, 3],\n [10, 1, -2, 1, -5, 6, -11],\n [10, -3, -8, 2, -12, -11, 6],\n [9, 4, 2, 11, 5, 8, -5],\n [8, 1, -5, 9, 10, -5, 6],\n [0, -8, -3, -6, -4, 1, -7],\n [-3, -12, -2, -5, -7, 4, -9]]\nB =\n[[-7, 2, -3, 4, -3, -8],\n [6, -6, 11, 6, -3, 6],\n [-2, -10, -2, -7, -7, 2],\n [-10, 9, 12, -2, -5, 10],\n [10, -5, 10, 3, -10, -5],\n [-5, 0, -12, -3, -8, -8],\n [4, 9, 1, -7, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4656", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[7, 9, 9, -12, -8, 5],\n [1, -6, 12, 2, -4, 2],\n [3, -4, -6, -6, 4, -2],\n [-7, 1, 2, 8, -5, 11],\n [-9, -12, -7, -12, 8, -8],\n [6, -8, 9, -8, 4, -1]]\nB =\n[[-6, 2, 6, 10, 8, 0],\n [-1, 6, 0, -7, -12, -7],\n [0, 0, 0, 7, -9, -8],\n [0, -4, 4, -10, 7, 5],\n [12, 2, 10, -12, -4, -7],\n [5, -12, 9, -6, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-363", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, -7, -5, -11, -4, 12],\n [-4, -6, -4, 4, -10, 3],\n [3, -11, -2, 3, 2, -12],\n [8, 4, -10, 9, 9, 6],\n [7, -6, 9, -2, 5, 12],\n [1, 3, -7, -11, 10, -2],\n [-2, -3, -9, 4, -3, -4]]\nB =\n[[0, -2, -3, 11, -8, -10, -9],\n [-10, -3, 11, 0, -8, 0, 11],\n [-12, 12, -2, -10, 4, 6, 0],\n [3, 5, 10, 7, 10, 6, -7],\n [10, -6, 2, -8, 3, -7, -10],\n [-1, -9, 9, -10, 3, 3, 10]]\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[[6, 2, -4, 7, -11, -7],\n [1, -4, -3, 5, 2, -9],\n [-8, 12, 10, 8, -7, 12],\n [2, 7, -11, 3, -8, 10],\n [-9, -12, -5, 8, -3, 2],\n [-11, 6, -1, -3, -1, 8],\n [7, 12, -4, -5, -11, 8]]\nB =\n[[11, 11, -6, -9, 6, -5, 11],\n [0, 8, -10, -8, 7, -5, -11],\n [11, -3, 9, 3, -9, 1, -10],\n [-3, 0, -8, 9, 4, 4, -2],\n [6, 5, 4, -2, 2, -5, -1],\n [4, 11, -8, -9, 11, 11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-528", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 3) of the product matrix AB given:\nA =\n[[-5, 3, 3, -10, -1, 11],\n [0, -12, -9, 8, -7, -8],\n [-8, 8, 12, -3, 6, 5],\n [-11, 3, 2, 11, -8, 8],\n [9, -4, 10, -8, -8, -4],\n [-4, -11, -6, -12, 7, -11]]\nB =\n[[12, -1, -7, 7, 6, 3],\n [-9, 5, -8, 12, 9, 5],\n [-7, 12, 1, 7, 4, 5],\n [8, -3, 10, 11, 6, 12],\n [5, -9, 7, 2, -7, -7],\n [-10, -4, -2, -8, 1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-115", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 2) of the product matrix AB given:\nA =\n[[9, 6, -5, 0, 6, -8, 2],\n [-9, -9, 5, 11, 6, 7, 9],\n [-4, 2, -1, -9, -10, -8, 12],\n [4, -8, -9, 8, -6, -6, -6],\n [4, 12, 2, -6, 2, 7, -9],\n [-11, 9, 0, -1, -3, 6, 2]]\nB =\n[[4, 8, -7, -8, 8, 0, 1],\n [11, 1, 2, 3, -3, -12, 11],\n [-2, -6, 4, 12, -9, -6, -10],\n [11, 7, 1, 5, 5, 11, 11],\n [-12, -7, -4, 12, -11, -5, 11],\n [7, -9, 8, -3, 10, -12, -2],\n [-4, 6, -2, -9, 10, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-85", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 6) of the product of the following matrices:\nA =\n[[4, 5, -8, 5, 4, -10, -2],\n [4, -5, 11, -5, 10, 10, -11],\n [12, -6, 8, 7, 11, 8, -7],\n [7, 5, -6, 5, -1, -6, -6],\n [-12, -3, -3, -1, -10, -10, 0],\n [0, -7, -10, 2, -4, 8, -7],\n [-7, -5, -2, 6, 3, -4, 10]]\nB =\n[[-2, 3, -7, 4, 3, 7],\n [8, 5, -12, 5, -5, 9],\n [-3, -11, -4, 11, -9, -2],\n [-3, 1, -6, 6, -7, 3],\n [6, 6, 0, -1, 12, 9],\n [2, -5, -9, 7, -5, 10],\n [8, 3, 3, -11, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "92", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, 12, -8, -8, -1, -6, -8],\n [-9, 4, -7, 1, -4, -9, -2],\n [7, 8, 3, 3, 3, -7, 2],\n [-10, -4, -12, -2, 9, -7, 11],\n [-8, 12, 12, 5, 8, -1, -6],\n [-11, -6, -4, 11, 12, 7, -5],\n [-4, -3, -1, -11, -3, -10, -12]]\nB =\n[[4, 9, -12, -8, 1, -7, -4],\n [9, 1, -9, -12, -7, -6, 8],\n [-7, 11, -12, -5, -1, -2, -11],\n [-11, 11, -11, -5, 8, 12, 12],\n [11, 12, -6, 3, 11, 9, -4],\n [3, -11, -10, -11, 9, 6, 4],\n [7, 8, -1, -2, 7, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "306", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-7, -3, 1, -12, 2, -7, 0],\n [11, 1, 0, 11, 3, -12, 1],\n [0, 10, -3, -3, -9, 1, -1],\n [9, -7, 2, -8, -3, -4, -3],\n [11, -1, 9, -9, -9, 0, 12],\n [1, -1, 0, 7, 0, 10, 9]]\nB =\n[[-11, 8, 6, -4, -3, 4],\n [-3, 7, 0, 7, 12, -12],\n [-11, 4, 0, 4, 0, 4],\n [6, 1, 7, -3, -11, 1],\n [4, -8, 9, 5, -10, 3],\n [6, 5, 7, -8, -5, -7],\n [2, 12, -10, -4, -2, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, 10, 1, 10, -4, -3],\n [2, 5, 8, 6, -6, 6],\n [-8, 8, 5, -12, -1, -7],\n [0, 4, -4, 8, -12, -1],\n [11, -12, -9, -6, 7, -8],\n [10, 7, -8, -6, 4, -1]]\nB =\n[[2, -10, 4, 1, 2, 2, 2],\n [6, -2, 5, 8, -3, 8, -4],\n [11, -10, -12, 8, -2, 3, -10],\n [8, -4, -2, 4, -12, -4, -10],\n [-3, -8, 12, -2, -8, -1, 1],\n [-1, 6, -4, -6, 3, -6, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "764", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[-5, 8, 5, 12, -10, -11],\n [-8, -5, 6, 9, -4, -11],\n [2, -5, -3, -6, 6, -12],\n [9, -11, -10, 1, 2, 8],\n [1, -5, 5, 9, 4, -6],\n [7, -12, -4, -4, -2, 6]]\nB =\n[[-7, -6, 2, 7, -7, -4, 2],\n [9, 10, -7, -6, 4, -7, -4],\n [-10, 1, -7, -9, 3, 10, 3],\n [10, -4, -9, -5, 11, -5, 11],\n [-7, -5, -7, 1, 1, 5, 0],\n [2, -10, -7, 10, 7, 4, 7]]\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 (2, 2) of the result:\nA =\n[[3, -7, -5, 0, 0, 7, 4],\n [8, 10, 9, -10, 0, -6, 7],\n [-8, -2, 10, 5, -9, 7, 9],\n [-6, -9, -3, -12, 4, -8, 4],\n [-10, -4, -10, -10, -4, -8, 11],\n [-3, 2, 12, -1, -7, -6, -6],\n [10, -9, 0, 2, 5, 5, -6]]\nB =\n[[-3, 3, 10, 10, -5, 6],\n [-2, 8, -7, 11, 11, -3],\n [6, 1, 7, -7, -9, 7],\n [2, -8, 3, -6, -11, 0],\n [-11, -4, 7, -8, -10, -11],\n [1, -5, 7, -1, 4, 3],\n [-7, -7, 5, -11, -5, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -11, 4, 11, 3, 5, 8],\n [-7, 4, 5, 1, -3, -9, 5],\n [-2, 9, 3, -9, 6, -7, 12],\n [-5, 5, 6, 5, 3, -6, 12],\n [4, -10, 9, 2, -9, 3, 1],\n [4, -4, -6, 1, 10, -1, 4],\n [-4, -1, -1, -5, -3, -1, -8]]\nB =\n[[7, -12, -4, 2, 11, -11],\n [-9, -9, 10, -10, 3, -5],\n [-6, -1, -1, -9, 2, 12],\n [-7, -10, -6, 9, 11, 8],\n [-7, -12, -5, -12, 3, -10],\n [-11, -7, -5, 11, -6, -6],\n [11, 8, 6, 5, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "888", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-2, -10, 10, -12, 10, 9, -3],\n [-11, 4, -4, 5, 7, -4, 12],\n [-2, 4, 1, 5, 5, -1, 5],\n [-5, -5, -5, 7, 2, -5, 1],\n [0, 10, -5, 4, 6, -7, 4],\n [-9, 12, -6, 4, 9, 9, 5],\n [-7, -3, 5, 11, -6, 1, 9]]\nB =\n[[1, -3, 9, 12, -4, -3, -11],\n [-10, 3, -3, 10, -2, -3, -1],\n [1, -4, 0, -7, -2, -12, 2],\n [-6, -2, 4, -8, -4, 3, -2],\n [12, 4, -7, 2, -10, -4, -1],\n [6, 5, 3, -5, 6, -8, -1],\n [-7, -1, 2, -3, 4, -6, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "123", "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, 12, -2, -11, 8, -11, 1],\n [5, 3, -2, -4, -6, -9, 3],\n [1, -2, -5, -2, 7, 4, 6],\n [-3, -1, -12, -11, 5, -6, 3],\n [0, -9, -3, -4, 5, -4, 9],\n [-3, -5, 10, -2, 0, 11, 0],\n [3, 0, 12, -1, 2, 3, -5]]\nB =\n[[-7, 11, -5, -11, 5, -2, 4],\n [-3, -11, 10, 6, 7, 7, 7],\n [-11, -7, 4, -1, -8, -11, -4],\n [-11, 9, 7, 1, 9, 2, -11],\n [5, -1, -6, 3, 6, -10, 2],\n [2, -6, -5, -6, -10, 6, 10],\n [6, 5, -6, 6, -8, 10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4189", "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, 11, 5, -9, -9, -5],\n [-2, -12, -4, -7, -9, -7],\n [0, 9, -4, 1, -1, -9],\n [-5, 4, 9, -8, -10, -9],\n [-5, 3, -2, -11, -5, -6],\n [-12, -11, 10, 0, -2, -10],\n [-11, 3, -12, -6, -10, 9]]\nB =\n[[3, 11, -7, 1, 10, -2],\n [9, 10, 8, 12, 6, 9],\n [12, -12, 8, 0, 7, -4],\n [-2, -12, 0, 7, -12, -10],\n [7, 4, -8, -7, 4, -3],\n [-2, 0, -3, 1, 0, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4651", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 1) of the result:\nA =\n[[7, 4, 5, -2, -3, 8, 5],\n [6, -4, -8, -12, -8, -10, -12],\n [6, -7, -3, -8, -1, -1, 4],\n [-11, 8, 12, 1, -1, 0, -8],\n [-8, 4, -8, 11, 12, 6, -9],\n [-6, 10, 4, -2, -7, 0, -1]]\nB =\n[[12, -8, 11, -3, -2, -4],\n [0, -10, 4, 5, -8, 3],\n [10, 3, -2, 9, -9, -4],\n [2, -1, 3, -9, -10, 8],\n [-9, -11, 6, -6, -11, -12],\n [5, -5, -5, -3, 5, 9],\n [-2, 10, -12, -6, -5, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, 11, 6, -5, 6, 9],\n [-9, 10, 11, -3, 9, -3],\n [-9, -5, -6, 2, -5, -3],\n [-6, 6, -10, -4, 3, 1],\n [-6, -1, -12, 3, -10, -12],\n [-7, -11, -6, -5, 0, 3],\n [9, 8, -3, -9, 12, 11]]\nB =\n[[8, 0, 4, -5, -5, 10, -6],\n [11, -12, 2, 2, 6, -9, -7],\n [-3, -1, 12, -9, -7, 12, 1],\n [0, 12, 9, 8, -10, 8, 2],\n [-10, -8, 0, 2, 4, -7, 10],\n [5, -10, -4, -5, 7, -2, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-125", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -5, 9, -12, -11, 7, -9],\n [-11, 12, -11, 0, 9, 8, 7],\n [-7, -9, 12, 2, 10, -10, -9],\n [4, -7, -11, 7, 0, 2, -8],\n [11, 6, -7, 4, 12, -12, -11],\n [-12, -5, -9, 5, 10, 11, -4]]\nB =\n[[2, 3, 8, -10, -12, 11, 0],\n [1, -7, -8, 10, -8, -9, 8],\n [-1, 1, 10, 1, -2, 9, -3],\n [-3, -4, -11, 1, -6, 4, 11],\n [7, -5, 11, 7, -9, -8, 0],\n [-6, -7, 4, -7, 6, 12, -10],\n [-4, 8, 2, -5, 12, 12, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1381", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -12, -5, 10, -9, 9, -3],\n [3, 5, -9, -5, -9, -3, 7],\n [-9, 3, -1, -3, 12, -2, -11],\n [3, 10, 6, -1, -9, 4, -1],\n [3, -10, -11, -6, -7, -12, 2],\n [-1, 0, -5, -4, -12, -8, -6]]\nB =\n[[5, 9, -5, 11, -3, -5],\n [-1, 3, -1, 9, 9, -10],\n [5, -8, 1, 12, 7, 8],\n [3, 9, -7, 3, 7, 1],\n [7, 11, -8, 1, -2, 8],\n [-4, 7, -6, -8, 2, 12],\n [0, -1, 11, 2, 11, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1755", "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, 11, 6, -3, 4, 3],\n [-8, -9, 11, 9, -3, 8],\n [12, -7, -2, -2, 3, 1],\n [6, 9, -9, -8, 9, 12],\n [6, 4, 5, -5, -9, 10],\n [5, -2, 1, 0, 11, 3],\n [-1, -4, -6, -3, 4, 5]]\nB =\n[[12, -6, -10, 2, 3, 8],\n [4, 0, -10, 7, 7, 10],\n [-8, -4, 10, 5, -2, -2],\n [3, -5, -11, 10, 8, -3],\n [-7, -9, 8, -8, 10, -2],\n [-1, 3, 7, 8, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3458", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 7, 2, -5, -8, -4, 8],\n [3, 11, -10, -1, -6, 4, 2],\n [2, -1, 8, -11, -5, 9, -8],\n [-10, -12, 3, -3, -3, -2, -1],\n [-5, -8, -4, -2, 2, 10, 4],\n [-2, 0, 4, 10, -6, -4, 5],\n [10, 5, -3, -1, 5, 8, -4]]\nB =\n[[-4, -3, -12, -2, 1, 10],\n [-3, 1, 6, -3, 4, -11],\n [9, 1, 5, -11, 7, 6],\n [11, -5, -7, 7, -6, 12],\n [0, -11, 9, -6, -12, -7],\n [3, -5, 0, 10, 5, 1],\n [5, -9, 2, -8, 8, 1]]\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[[3, 2, -2, -11, 10, 11, 5],\n [-9, 2, -1, -10, -9, 8, 3],\n [-7, -11, 9, -4, -1, -1, 11],\n [1, 4, -4, -1, -3, -2, -11],\n [3, -12, 9, -12, 9, -11, -1],\n [10, 10, 7, 5, -1, 10, -12],\n [-2, -11, -1, -11, 4, 12, -7]]\nB =\n[[3, 6, -7, -6, 6, 7],\n [4, -7, 2, 9, -4, -11],\n [-8, 8, 10, -8, -1, -3],\n [-9, -1, 2, -3, 5, 11],\n [-8, 0, -9, -4, 5, -10],\n [11, -2, -9, -4, -1, -3],\n [-3, -4, -3, -4, -12, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-397", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 6) of the product matrix AB given:\nA =\n[[3, 1, 0, -7, 1, -5, 10],\n [10, 5, 7, -12, -1, -2, 0],\n [10, -9, 12, -7, 9, 12, 0],\n [11, 9, 0, -7, 9, -9, 8],\n [-10, 12, 2, -2, -11, 10, 4],\n [10, -11, 8, -12, -8, 7, 4]]\nB =\n[[-12, -6, -10, 3, 3, -1],\n [-4, 12, 1, -1, 12, 3],\n [4, -1, -9, 4, -12, 12],\n [8, 4, -2, 6, 10, 5],\n [7, -11, -4, -4, -1, 0],\n [3, 0, 10, 1, -6, -11],\n [-1, 11, 4, 11, -8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-56", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, 5, -10, 0, 0, -3],\n [-11, 3, -9, 6, -8, -6],\n [-4, -8, -5, -11, 9, 11],\n [12, 7, 7, -6, -9, 8],\n [2, 5, -11, 1, -3, -8],\n [-1, -3, 5, -7, 9, -1]]\nB =\n[[11, -12, -6, -1, -6, -4],\n [7, 2, 10, -1, 0, 9],\n [-9, -3, 11, -10, 11, -8],\n [-9, 6, 2, 10, -6, 9],\n [-10, 12, 3, 2, 5, -10],\n [1, -12, -6, -11, -3, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-518", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, 3, -1, 5, -7, 4],\n [-5, 8, -4, 6, -11, -6],\n [-2, 10, 0, -3, 2, 8],\n [-6, -7, 12, -1, -10, 3],\n [7, -4, -3, 0, -5, -7],\n [-10, -1, -4, -4, -2, -7],\n [-11, -6, -4, 12, 6, 5]]\nB =\n[[-1, 8, -2, -3, 10, -10, -1],\n [-9, -3, -11, -1, -2, 1, 2],\n [1, -1, -11, 10, -11, -12, 7],\n [2, 9, -3, 7, -12, -12, 12],\n [-12, 10, -2, -1, 2, 1, 10],\n [-12, -12, -7, 11, 10, 9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-187", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[1, 10, -7, -5, 7, 12, 2],\n [4, 10, -4, 3, -12, 3, 6],\n [10, -4, 4, -7, 1, 5, 8],\n [1, 10, -6, -3, 3, -6, 7],\n [-7, -7, -6, 12, 9, 4, -5],\n [-11, 6, 8, 9, -6, -1, 7],\n [-10, 12, -9, 12, 12, -2, -1]]\nB =\n[[6, 6, -2, 0, 11, -12, -7],\n [9, 12, 3, -11, 1, 11, 10],\n [5, 4, 7, 5, 6, 2, -11],\n [12, -9, -12, -5, 7, 1, -2],\n [11, 11, 12, 1, 3, -3, -6],\n [3, -9, -1, -1, -11, -7, 7],\n [2, 2, 9, 3, 11, -10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[8, -1, 2, 6, -7, 6, 4],\n [-4, 8, 0, 2, 3, 0, -11],\n [-11, -2, 12, 3, 4, -10, 10],\n [-12, 5, 1, 9, -4, -4, -1],\n [11, -10, -11, -12, -4, 0, 8],\n [3, 6, -3, -8, 1, 2, -10]]\nB =\n[[-4, -12, -12, 6, -7, -2, 5],\n [1, 3, -12, 11, -3, 12, -3],\n [0, -12, -10, 1, 8, 3, 10],\n [7, -7, -12, 7, 11, -8, -5],\n [-1, -12, 0, -4, 7, 12, 11],\n [-5, 0, -11, 2, 1, 6, -4],\n [6, 1, -5, -8, -6, -9, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "154", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 7) when matrix A is multiplied by matrix B?\nA =\n[[-9, 8, -12, -5, -6, -2, 8],\n [3, 9, 4, 11, 12, -8, -6],\n [-3, 0, 7, 2, -7, -11, -9],\n [8, 1, 12, 12, 11, 2, 1],\n [-9, -7, -6, 0, 4, 4, -9],\n [6, 7, 0, -4, -11, 7, 10],\n [5, 11, 7, 12, 4, -6, 4]]\nB =\n[[-3, 12, 1, -1, -1, 4, 6],\n [10, 1, 4, 2, 8, -7, 6],\n [9, 7, -7, -7, -9, -12, 6],\n [-2, -6, -11, -9, -7, -8, 9],\n [8, -4, -2, 5, 7, 4, 0],\n [10, 4, 9, -3, 12, 5, 4],\n [-1, 2, 6, 9, 2, 0, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -5, 7, 3, 11, 10],\n [-2, 11, -8, -6, 3, 3],\n [7, 4, 6, 2, 12, 2],\n [7, 8, 2, -10, -1, -7],\n [7, -8, -2, 10, -1, -6],\n [-4, 5, 1, -9, -5, 3]]\nB =\n[[-9, 6, -7, 6, 2, -1],\n [-1, -11, -4, -10, -12, 1],\n [0, 12, -8, -6, 1, 3],\n [5, 1, -12, -7, 8, -3],\n [-7, -11, -6, 4, 11, 1],\n [10, -6, 9, 8, -4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-539", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[12, 8, 11, -2, -10, 10],\n [-9, -8, -9, 0, -4, 10],\n [1, 3, 9, -7, -3, 10],\n [8, 0, -10, -2, -10, -6],\n [-3, -12, -9, -5, 7, 4],\n [-8, 4, -4, -5, -6, -8],\n [-9, 10, -10, -5, -8, -8]]\nB =\n[[4, 2, -5, -6, 4, -1],\n [-9, 7, 12, 5, -9, -3],\n [-10, -8, -1, 10, -8, -8],\n [-9, 12, -7, -3, -7, 9],\n [9, -12, 3, -2, -7, 7],\n [5, -7, 4, -1, 4, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4347", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[9, 5, -3, 11, 7, -1],\n [-9, -3, -8, -9, 3, -8],\n [6, 11, -7, 11, 8, -6],\n [-3, -6, 9, 1, -3, 7],\n [9, 12, -2, 1, -1, -9],\n [0, 9, 9, -10, 0, 7],\n [6, 2, 6, 7, -9, -7]]\nB =\n[[2, -9, -7, -11, -9, 5, 2],\n [-1, -5, -1, -4, -6, 9, -5],\n [7, -3, -2, -11, -9, 8, 12],\n [8, 12, -4, -5, -8, 1, -11],\n [8, 4, -5, -11, 10, 2, -11],\n [-2, 1, 8, -3, -6, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-215", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, 8, 9, -11, -3, -12],\n [-12, 11, -10, -2, 6, -4],\n [0, 9, -9, 7, 10, -7],\n [-11, -4, 5, 11, -9, -12],\n [-12, 12, 7, 4, 6, -10],\n [10, 9, 11, 10, 4, -10]]\nB =\n[[12, -9, 0, 2, -1, -10, 8],\n [-5, -12, 5, 0, -6, 0, 4],\n [0, 0, -2, 1, 8, -3, -5],\n [-7, 6, 10, 6, -1, 8, -6],\n [5, 7, 5, 10, -10, -4, -7],\n [-12, -3, -5, 10, 4, -10, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1125", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-10, -6, 9, -2, 5, -8],\n [9, -11, 1, -12, -9, 1],\n [2, 7, 7, 4, -10, 10],\n [-9, 5, 11, -12, 12, -8],\n [5, 0, 1, 7, -10, 10],\n [-7, -2, -4, 7, 6, -6]]\nB =\n[[9, 8, -3, -6, -8, 12],\n [-9, 4, -8, 4, 4, 4],\n [-12, 11, -11, 12, 10, 6],\n [-4, 7, 10, 2, 6, -8],\n [0, -9, 0, -7, -1, -4],\n [2, 8, 2, 4, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[12, 11, -8, 8, 1, -11, -4],\n [1, 2, -9, 10, -7, 1, -8],\n [-2, 8, 1, -6, 1, 0, 5],\n [12, -11, -4, -2, 7, -2, -7],\n [-12, -8, 9, 12, 1, 12, 3],\n [-4, 6, 7, -5, -5, 3, 5]]\nB =\n[[-5, 10, -4, -8, -11, 8],\n [1, 5, 0, -1, 2, 8],\n [2, 12, 10, 10, -12, 12],\n [9, -6, 0, 5, -12, -2],\n [0, 7, -4, 12, 3, -2],\n [-10, 4, -11, -4, -4, 3],\n [-12, 12, 4, -3, 7, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-183", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 0, 8, -8, -9, 12],\n [-5, 12, 10, -6, -8, -3],\n [4, -7, -3, 3, 9, -3],\n [-9, -11, -12, -10, 0, 12],\n [-1, -12, 8, -3, -7, -4],\n [-12, -1, -8, -12, -11, 1],\n [-11, -8, -3, 7, -7, -8]]\nB =\n[[-11, -4, -3, -5, 12, -7],\n [-8, 8, 5, 7, 5, -11],\n [-1, -5, -9, 7, 10, -9],\n [-4, -4, -1, 1, -10, -7],\n [2, 10, 6, -9, -12, -4],\n [10, 3, 10, -4, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5289", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 9, 11, 8, 3, -5, -3],\n [1, 4, -10, -9, 3, 1, 12],\n [11, 1, 3, -5, 5, -6, -10],\n [-7, 7, 3, 9, -9, 6, -11],\n [-9, -11, -6, 2, 4, 1, -2],\n [4, -8, 10, 1, 4, 7, 8],\n [-11, -6, -9, -5, -12, -3, -12]]\nB =\n[[-12, -9, 4, -8, 1, -7, -6],\n [-5, 11, 5, -9, 10, 12, 12],\n [-10, 10, -9, 12, 10, 3, 0],\n [9, 12, 10, -2, 11, -2, -8],\n [7, -12, 1, 11, 9, 7, 6],\n [-8, 7, 10, -7, 6, -1, 1],\n [4, -6, 8, -12, 4, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "525", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, -5, 5, 7, 0, -5, 11],\n [3, -8, -10, 0, 2, -9, -10],\n [-11, -9, 12, -7, -9, 4, -6],\n [5, 9, -3, 4, 10, -9, 6],\n [-6, 0, -10, -5, -2, 3, 7],\n [6, 10, 10, -4, -3, 10, -7]]\nB =\n[[-10, 7, -5, -7, 12, -5],\n [1, -5, -2, -3, 10, -3],\n [-2, -12, 2, -8, 1, 10],\n [12, 7, -5, 4, -9, -9],\n [5, 6, -10, -4, -6, -11],\n [-4, 11, -7, -7, 3, -11],\n [3, -10, 9, 3, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "511", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 3) of the product matrix AB given:\nA =\n[[-2, -2, 10, 3, -8, 7],\n [-5, -2, -2, 5, 6, -3],\n [-9, -3, 1, -7, -8, 2],\n [-8, 10, 11, -7, 6, 7],\n [4, 1, -2, 1, -8, 0],\n [-1, 11, 6, -3, 0, 2]]\nB =\n[[7, 0, -9, 9, -4, 6, 7],\n [9, 9, -6, 2, 4, 1, 1],\n [-4, 3, -11, 1, -9, -10, -10],\n [-2, -8, 3, 10, 10, 10, 6],\n [-4, 9, -2, -1, -5, 1, 4],\n [7, 2, 2, 10, -1, -4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-128", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, -1, -2, -7, -5, -2, -10],\n [3, -7, -4, -4, -7, -8, -12],\n [-10, -10, -1, -9, 8, 3, -2],\n [-5, -4, 1, 10, 9, 2, 6],\n [-4, 4, -4, -10, 12, 3, 0],\n [4, 11, 9, 12, -9, 8, 9],\n [-4, 9, -4, 5, 1, 7, -10]]\nB =\n[[-9, -12, 5, -9, -3, -9],\n [8, 12, 4, -5, 6, -4],\n [3, 11, 11, 12, 2, 7],\n [3, 8, -1, 10, 5, -6],\n [3, 6, -7, -7, -7, 2],\n [-11, -4, -5, -6, 3, 2],\n [-4, 7, 2, -11, 7, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-276", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -10, -11, 5, 1, 11],\n [-8, -1, 1, -7, -5, -6],\n [-6, -1, -6, -1, 3, -6],\n [-5, -12, 0, 6, -12, 11],\n [5, -6, 9, 4, 2, 9],\n [12, 6, 10, -9, 4, -6],\n [3, 4, 7, 2, -4, 8]]\nB =\n[[10, 0, -6, 6, -2, -5, 4],\n [-9, -9, 5, 9, 4, -10, -4],\n [-7, -11, -1, 2, -4, -11, -1],\n [3, -6, -12, 8, -6, -10, 7],\n [-8, -10, 2, -7, 2, -10, 11],\n [10, -12, -11, -9, 8, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, -2, -9, 2, 7, 12],\n [-9, 7, 7, 3, -11, 0],\n [-5, 0, 7, 8, -5, -9],\n [-8, 8, -7, 10, 6, -3],\n [-10, 0, -4, 4, -3, -1],\n [0, 11, -3, 6, 8, 6],\n [4, -8, -5, -8, 2, -9]]\nB =\n[[12, 0, 4, -8, -12, 9],\n [2, -3, 12, -2, 5, 0],\n [7, 11, 3, 6, 10, -1],\n [10, 1, -11, -3, -9, -12],\n [11, 12, 4, -2, -6, 4],\n [4, -4, -3, -7, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3477", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-6, 6, -9, 7, 11, 4],\n [11, -4, -2, 10, -12, -6],\n [9, -8, -8, -12, -7, 0],\n [2, -9, 4, 11, 11, 0],\n [-2, -9, -6, 6, 11, -6],\n [1, 8, 3, 8, -4, 9],\n [9, -11, 3, -8, -1, 7]]\nB =\n[[2, -10, -4, -6, -9, 12, -4],\n [2, 10, 8, 12, -6, 12, -2],\n [6, -2, 12, -12, 8, 0, 0],\n [-11, 4, 6, 10, 2, 6, -3],\n [-3, -4, 6, -2, -7, -11, 11],\n [-3, 2, -8, 5, -6, -10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-310", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[12, 3, 4, -11, 3, 8],\n [7, -12, 1, 3, 10, -4],\n [4, -5, -4, -11, 0, -12],\n [9, -6, 5, 8, -8, -6],\n [-1, 4, 11, -8, -1, 6],\n [0, 3, 12, 6, 10, -3]]\nB =\n[[-1, -6, 1, -3, -5, 2],\n [3, -5, -9, 4, -9, 9],\n [-2, 0, -7, 9, 1, -6],\n [-1, -12, -3, -12, 3, -6],\n [7, -7, 9, 12, 5, 7],\n [-9, 10, 3, -12, 8, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "204", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-11, 3, 8, -4, 2, 11, 3],\n [-4, -6, -3, -6, 0, -11, -1],\n [0, -10, -2, -5, -2, 5, -6],\n [-1, -7, -3, 7, 2, 7, 2],\n [6, -7, 6, 2, 12, 7, 7],\n [5, -11, -6, -8, -10, -7, -7],\n [-12, 6, -1, -8, -6, 7, -5]]\nB =\n[[6, -7, 2, -7, -4, -9],\n [3, 10, -3, -12, -2, 4],\n [5, 7, 9, 7, 2, -7],\n [3, -11, 12, -10, 10, 4],\n [-5, 7, 2, 0, 8, 10],\n [6, 12, 12, 11, -12, -1],\n [5, 5, -10, 5, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "563", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 5) of the product of the following matrices:\nA =\n[[-8, 9, -6, 10, 5, -6, 5],\n [-11, -7, 9, -5, 8, 8, 4],\n [-9, 4, 3, 8, 2, 2, -5],\n [4, 6, -12, 0, -7, -3, -12],\n [-1, 6, 2, 8, -8, -11, 6],\n [1, -4, -12, 0, 4, -11, 11]]\nB =\n[[9, 1, 7, 10, -7, 12, -7],\n [5, 6, -4, 2, -6, -7, -8],\n [6, 7, -12, 8, -6, 5, -5],\n [-1, -3, -7, 3, 6, 5, 11],\n [0, 7, -6, -6, 3, 12, -3],\n [2, 1, 11, -1, 2, -5, -6],\n [8, -4, 1, -6, -1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "96", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, -7, -10, -7, 11, -4, -11],\n [-7, 1, 6, 10, -9, 1, 8],\n [-3, -7, -2, 0, 11, 5, 7],\n [1, 7, 9, 7, -2, 8, -8],\n [-5, -9, -1, -7, 10, 11, 12],\n [-5, -9, 7, -3, -2, 2, -8]]\nB =\n[[-10, 2, -11, -11, 12, -5, 9],\n [1, -4, -8, -1, -3, -12, 11],\n [6, 12, -2, 4, -10, -12, 4],\n [-7, 0, 7, -9, -8, 2, 1],\n [6, 2, -1, 5, 1, -3, -5],\n [10, -9, 5, 12, -5, -9, -2],\n [-8, -3, -7, -9, 5, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "725", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -4, -10, 9, -4, -9],\n [9, 6, -4, 10, 10, 7],\n [-7, -2, 11, 2, 9, -7],\n [7, 11, -3, 11, 12, 9],\n [5, 3, -9, 7, 0, 11],\n [-8, 7, 11, 6, 5, 7]]\nB =\n[[4, 3, -12, 8, -12, 7],\n [11, 1, 11, -11, 2, -10],\n [0, 6, -12, 0, 2, 3],\n [-2, -10, -5, -7, -8, 2],\n [-4, 10, 9, -8, 8, -3],\n [12, -7, -2, -9, 7, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-878", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, -7, -12, 12, 5, -11, -8],\n [3, -1, -1, -2, 7, 6, 8],\n [-6, -11, -7, -9, -11, 4, -5],\n [-8, -3, 3, -11, 11, 6, -6],\n [-11, 0, 10, -9, 3, -3, 4],\n [8, 1, -1, 0, 7, -5, 4]]\nB =\n[[5, 8, -3, 0, -11, 4],\n [-7, -1, 0, -9, 2, 3],\n [8, 6, 2, -7, 7, -7],\n [-8, -11, 7, -11, -8, -10],\n [-7, -2, -8, 5, 1, -3],\n [11, 9, 12, -10, 3, 3],\n [-2, -9, -2, -5, 3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-38", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, -4, 1, -5, 11, 3, 9],\n [-11, 10, 7, 6, 7, 7, 6],\n [12, 6, 5, 0, 4, -12, 8],\n [-8, 12, 7, 8, 0, -7, -3],\n [10, -4, -7, -12, 11, 5, 12],\n [10, -6, -3, -1, 8, 11, 2],\n [4, -10, 12, 2, -12, -2, 11]]\nB =\n[[-7, 3, 8, -1, 9, 8, 2],\n [12, 5, -3, 9, -1, 7, 6],\n [-8, 5, 6, 10, -1, -12, -11],\n [-10, -1, 1, -6, -9, -1, 11],\n [-5, -12, -8, -12, 2, 0, 10],\n [0, -9, 2, -1, -5, 3, -1],\n [11, 12, -7, 10, 2, -6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "42", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, 2, 12, -1, -2, -9, 0],\n [5, -5, -6, 9, 10, 3, -10],\n [9, 3, 3, -6, 10, 0, 0],\n [8, 6, 5, -6, 7, 5, 11],\n [5, 9, -9, -4, 8, 3, -9],\n [-5, -10, -4, -5, -1, 1, 11]]\nB =\n[[-3, 8, 4, -2, -3, 0, 12],\n [-11, -12, 9, -12, 3, -3, -3],\n [-6, -6, -12, 0, -8, -10, 0],\n [-1, 5, -8, -8, -11, -7, -6],\n [-12, -10, 7, -11, -3, -2, 8],\n [0, 3, 7, -2, 5, -2, -12],\n [11, 5, 7, -8, -11, 12, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4867", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, -6, 9, -2, -2, 0, -9],\n [-12, 5, -1, -3, 9, -5, -10],\n [-6, 12, 7, -2, -6, -6, -4],\n [-10, -2, 4, -5, 7, -11, 8],\n [7, -12, 3, 10, -9, 11, -4],\n [-5, -12, -5, -8, -12, 12, 12],\n [-6, 2, -6, -12, -4, -12, -1]]\nB =\n[[-6, 12, -4, -8, -1, 9, -11],\n [5, -4, -12, -3, 1, 8, 1],\n [-6, -1, 9, 9, -7, 0, -5],\n [10, 8, -11, -3, -7, 3, -3],\n [2, 8, 7, -3, -2, 8, 12],\n [-11, 9, 12, -3, 8, -1, -2],\n [9, 2, -9, -8, 11, -12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-794", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-3, -9, 0, 1, 6, -8, -2],\n [-5, -12, -8, 8, 5, 0, -8],\n [11, -6, -1, -11, 0, 1, -7],\n [3, -3, -2, -12, 2, 3, -3],\n [-3, -10, -2, -2, 3, -7, -4],\n [-12, -7, 5, 12, 0, -11, 6]]\nB =\n[[-11, -9, -9, -3, 4, 11],\n [3, 8, -5, -7, -11, 10],\n [2, 12, 10, -2, 8, 3],\n [-9, -2, 1, -5, -7, 8],\n [10, 6, 12, -9, -9, 11],\n [-7, -2, -12, -11, -4, 3],\n [-7, 10, -4, 6, -8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3825", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-3, -6, -11, 7, -9, -5],\n [-10, -11, -4, -2, -9, -4],\n [-7, -12, -10, -6, -4, -5],\n [8, 0, 11, 5, 6, 11],\n [-4, 11, 7, -7, 8, -1],\n [-9, -4, -3, -10, 4, -6]]\nB =\n[[-5, -2, 0, -10, 6, 1],\n [9, 3, 2, -11, -7, 8],\n [-6, -4, -4, 4, 10, -10],\n [-9, -11, -12, -3, -10, -3],\n [-4, 4, 2, -10, 8, -10],\n [-9, -9, 4, -7, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "32", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[10, -6, 0, -7, 10, -10, 8],\n [1, 1, 10, -3, -8, -11, -7],\n [10, -2, 5, 11, 8, -2, 11],\n [2, -10, -11, -6, -8, 8, 0],\n [-5, -4, -5, -3, -11, -3, -2],\n [10, -2, -8, 1, 10, -10, 7],\n [10, -11, 5, -12, -12, 4, -7]]\nB =\n[[0, 8, 11, 8, -12, 11],\n [-7, -5, 0, -11, -5, 9],\n [-12, 0, -12, -3, -8, 10],\n [7, 0, -8, -3, -10, -11],\n [-11, -8, -9, -11, 8, -4],\n [11, -4, -4, 11, 12, -9],\n [-5, 5, -4, 12, -10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2096", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[10, 6, -8, 4, 6, 11],\n [-10, -5, -4, 9, 10, 9],\n [-5, 1, 10, -3, 4, -10],\n [-10, -10, -9, 4, 1, -11],\n [-1, -8, 9, 12, -11, -1],\n [-4, 10, -4, 7, 10, -12]]\nB =\n[[11, -6, 10, 5, -3, 2],\n [-4, -2, 11, -12, -2, -12],\n [-8, 5, -12, -3, 0, -5],\n [0, 7, -11, 8, -1, 0],\n [9, -5, 2, -6, -6, 4],\n [6, -10, -6, -1, 1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "455", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, 3, -4, -12, -1, -11, 9],\n [5, 1, -1, 5, -8, -6, -9],\n [0, 3, 9, 3, 6, -9, 7],\n [7, -12, 0, 7, 7, 9, -4],\n [-3, -7, 9, -6, 10, 3, 4],\n [11, -12, -4, 1, 2, -9, 12],\n [-5, 12, 2, 9, 12, -9, 6]]\nB =\n[[-10, -5, -11, 9, 12, 12, -5],\n [-5, 4, 3, 3, 3, -6, 2],\n [4, 12, -10, -12, -5, -6, 5],\n [10, -8, 2, -6, -3, 3, 10],\n [-11, 5, 2, 10, 6, 7, 1],\n [10, -11, 5, -4, -12, 3, -1],\n [-1, 6, -3, 7, -8, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5341", "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, 10, 2, 1, -2, 0, -6],\n [12, -11, -10, 7, -5, -12, 12],\n [8, -9, 0, 11, 1, -4, -10],\n [1, -9, 4, 2, -1, 1, 6],\n [-3, -8, 11, 4, 4, -10, 3],\n [12, -4, 4, 7, -1, 11, -11],\n [7, 3, 10, 10, 8, 10, -7]]\nB =\n[[-11, -4, -8, 5, 9, 8],\n [5, -3, -3, 10, -3, 5],\n [3, 10, -7, -1, -9, 7],\n [3, 9, 12, 9, 9, -2],\n [-12, -8, 4, -2, 1, -4],\n [-3, -9, -11, 12, -7, -10],\n [0, -1, 5, -7, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4745", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[12, -8, 2, 2, -1, -4],\n [0, 3, 8, -11, 4, -4],\n [10, 6, -7, -9, 12, 2],\n [5, -1, -1, 7, 4, -6],\n [7, -8, -1, 4, -11, -9],\n [-11, 1, 1, 0, 4, 4],\n [9, 5, -10, 8, 3, 6]]\nB =\n[[-7, 10, -7, 5, -4, 5],\n [-7, -4, 12, 5, 12, 3],\n [11, 10, 0, -2, -5, 11],\n [4, -4, -7, -12, -12, 0],\n [-6, -3, 5, -7, 0, -8],\n [8, 2, -1, 9, -2, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, -5, -8, -3, 2, -7],\n [11, 5, 10, -10, -4, -3],\n [-6, 6, 11, -11, -5, -6],\n [-8, -9, -2, -3, -12, -9],\n [9, -7, 5, 12, 0, 0],\n [-12, -9, -9, 5, 11, 5],\n [5, 2, 5, 2, 4, -8]]\nB =\n[[-2, 3, 7, -11, 4, -12, 5],\n [4, 12, 5, 6, 12, -8, 0],\n [11, 10, -7, 0, 5, -9, -4],\n [10, -10, 9, 11, 11, -5, 0],\n [11, 9, -2, -3, -2, -10, 12],\n [1, 1, 6, -9, -12, -11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "199", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 6) when matrix A is multiplied by matrix B?\nA =\n[[0, 1, -12, 12, -5, 5, 1],\n [-11, 11, -1, 11, -12, 8, 2],\n [-2, 5, 4, -10, 2, 0, -10],\n [0, -4, -3, -12, -11, 12, 1],\n [-8, 12, 9, -3, 6, -5, 0],\n [-4, 5, 12, -9, -5, -8, -7],\n [7, -8, -12, 6, -9, -12, 6]]\nB =\n[[-9, 1, 1, -4, 6, -2, 3],\n [6, -9, -4, 12, 4, 2, -5],\n [0, -12, -11, -3, 8, 0, -2],\n [1, 3, -7, -11, -8, 6, -6],\n [4, -8, -1, 6, 5, -1, -10],\n [-9, 2, 2, -2, -11, 5, -10],\n [5, 1, -7, -11, -12, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-36", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, 5, 7, -2, 5, 3],\n [-8, -6, 9, -11, -2, 0],\n [7, 11, 3, 1, -6, -6],\n [-1, -1, 7, -12, 10, -7],\n [-5, 0, -8, 11, -3, 1],\n [11, -4, 4, -10, -1, -1]]\nB =\n[[-2, 9, -9, -5, -3, 1],\n [-12, -1, -8, 1, -9, 4],\n [9, 0, -10, -2, -2, -8],\n [-7, -9, -3, -3, -1, 9],\n [10, 5, 2, 10, 10, 5],\n [-10, -10, -12, 4, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "318", "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, 12, -2, 1, 4, -6],\n [9, -9, -2, 6, -4, 8],\n [-5, 7, -9, 3, -7, -7],\n [6, -11, -2, 12, 5, -4],\n [3, -2, 1, -5, 0, -3],\n [10, -1, 8, -10, -11, -2],\n [11, 5, 11, 8, 12, -9]]\nB =\n[[-5, -2, 2, 10, 11, 8],\n [-11, 10, 6, 2, 0, -11],\n [-10, 1, 7, 0, 10, 3],\n [-1, -12, -7, 0, 9, 11],\n [-11, 5, 4, 6, 10, 2],\n [-5, 10, -4, -5, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4798", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, 4, 9, 10, -7, 10, 11],\n [-11, -12, -3, -5, 3, 11, 1],\n [11, 3, 1, -6, 5, 7, -4],\n [11, -9, 11, 3, 9, -2, -4],\n [4, 9, -2, 7, -10, 8, -2],\n [-5, -3, -7, 4, -7, -6, 0],\n [-7, -10, 12, 0, -3, -9, -8]]\nB =\n[[8, 6, 5, 11, -6, 8, -12],\n [4, 11, 7, 7, 12, 5, -8],\n [9, -7, -3, 6, -3, -7, -3],\n [-3, 8, -1, 11, -9, 0, -3],\n [3, 6, -7, -4, 1, 11, -3],\n [-5, -10, 4, 6, -10, 1, -7],\n [6, 5, -1, 2, 12, -7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6006", "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, 6, -6, 10, 7, -3, 5],\n [-11, 0, 2, 11, -9, -6, -10],\n [12, 3, -4, 10, 10, 4, -5],\n [5, 11, 0, -11, -12, 3, 3],\n [-2, 11, -9, -2, -7, -2, -12],\n [-4, -6, 8, 9, -10, -4, -11]]\nB =\n[[-3, 4, -12, 5, -7, -7],\n [-4, -3, 2, -9, -5, -9],\n [-10, -9, -12, -4, -2, 8],\n [10, 6, 8, 7, -6, -8],\n [-11, 6, 11, -10, 2, -6],\n [-8, 10, -3, -4, 10, 1],\n [9, 0, -12, 3, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4198", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (1, 4) of the product of the following matrices:\nA =\n[[4, -7, -11, 0, 12, -5],\n [12, -4, 0, 5, 5, -4],\n [-11, -9, 5, 4, -1, 3],\n [0, -2, 1, -3, 10, 8],\n [6, 11, 8, 4, -4, 1],\n [-8, -10, 9, -5, 5, -10],\n [10, -11, -2, -8, 12, -6]]\nB =\n[[1, 6, -11, -4, 12, 12],\n [-3, 6, 4, 12, -6, 5],\n [-7, -4, -5, 9, 9, 11],\n [-4, 11, -12, -11, 9, 11],\n [-9, 7, 5, -3, -12, -3],\n [-4, 10, 12, 0, 2, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-235", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[0, -8, -11, -6, -4, 6],\n [1, 4, 7, 7, -2, 9],\n [-8, -1, 8, -4, 4, -5],\n [11, -5, -1, 6, -3, 11],\n [-11, 11, -5, 1, 6, -9],\n [-4, 0, -4, 0, 12, 3],\n [9, -12, -5, -4, 11, 0]]\nB =\n[[4, 9, 12, -4, -6, 10, 7],\n [10, -3, 8, -8, 4, -11, -4],\n [-11, -3, -1, -11, 2, 12, -10],\n [-11, -6, -4, -2, 9, 3, -6],\n [0, -10, -2, -10, 2, -5, -6],\n [-8, -7, 12, 6, -10, -2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-762", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, 8, 1, 4, -10, 11],\n [-9, -4, 0, -7, -3, 7],\n [7, 8, 0, 10, 1, -1],\n [10, 0, -3, -6, -8, -1],\n [12, -11, -5, -5, 6, -8],\n [-5, -3, 0, -4, -6, 7],\n [7, 6, -2, -5, 9, 3]]\nB =\n[[-3, -7, -3, -3, 12, 6, -9],\n [6, -10, 4, 1, -3, -7, 3],\n [-4, 8, -1, -1, 1, -11, -3],\n [-9, -7, 10, 0, 10, 1, -9],\n [-3, -3, -8, -9, -1, 9, 1],\n [-6, -11, 1, -3, 3, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4156", "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, -9, 8, 6, 2, 7],\n [-3, -3, 10, 11, -1, -4, 2],\n [5, 7, -12, -10, -5, -6, 2],\n [-5, 2, 9, -8, -1, -1, -4],\n [8, -4, 2, 2, 7, -1, -8],\n [-12, 9, 6, -2, 5, -7, 4],\n [1, -1, 12, -8, -6, 3, 12]]\nB =\n[[-4, 10, 2, -9, 7, 10, 11],\n [-6, 1, -9, -9, 11, 1, 12],\n [-6, 2, -1, 1, 0, 6, -1],\n [3, 3, -12, 2, -8, -7, 12],\n [8, 4, -2, -9, 5, 7, 1],\n [10, -4, -10, -10, -2, 7, 10],\n [9, -8, -9, -1, 11, -1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4449", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 10, -11, -9, 11, -9],\n [-6, -11, -2, -8, 0, -9],\n [-4, -6, 12, 0, -3, -6],\n [5, 5, -11, 8, -12, 0],\n [10, -11, -9, -4, -5, 5],\n [3, -9, -9, 5, -11, 8],\n [-2, 7, 11, -9, 11, 1]]\nB =\n[[8, 4, 12, -5, -12, 6],\n [6, 8, -6, -12, -12, -3],\n [0, 9, -8, -1, -10, 6],\n [-9, 2, 0, -2, -11, -4],\n [-1, -9, 6, -3, -2, -6],\n [0, -4, -1, -11, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3878", "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, -6, -12, 12, 3, -9, -5],\n [4, 8, 6, -9, -9, -5, -3],\n [3, 6, -12, -8, -11, 3, 0],\n [-7, -9, 12, -6, -11, 10, -3],\n [1, -5, -10, -10, -11, 4, 6],\n [-3, -1, 10, -2, -4, 12, 0]]\nB =\n[[-7, 1, 9, -2, -8, -11, -6],\n [4, -7, 1, -9, -10, -2, -12],\n [1, -7, 10, 4, 4, 10, -2],\n [9, -6, 0, -5, -5, -4, 12],\n [-6, 12, 9, -4, -2, -11, 5],\n [9, -10, 5, 3, -5, 10, -5],\n [-7, 12, 12, -11, 3, 8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5393", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 5) of the product matrix AB given:\nA =\n[[6, 8, 2, 11, -11, 2],\n [9, -2, 7, -1, 2, 3],\n [-7, -10, -7, 10, -10, 8],\n [0, -1, -5, -11, -6, 4],\n [-6, -12, -9, 2, -9, -1],\n [3, 8, 5, 1, 1, -2]]\nB =\n[[3, 2, 9, -7, 11, 0],\n [4, -9, -1, 5, -5, -1],\n [-9, -5, -11, -9, -1, 12],\n [8, 9, -3, 2, -4, -4],\n [-6, -11, -6, -4, 5, 10],\n [-1, -6, 6, 9, 11, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "68", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 6, -7, -11, -11, -5, -3],\n [8, 8, -2, 7, 7, 11, -10],\n [3, -10, -5, 6, -1, 5, 0],\n [-2, 0, 8, -10, -7, 10, -10],\n [12, -12, 1, 10, 7, -6, 12],\n [-4, -12, -3, 0, -1, -9, -6]]\nB =\n[[-3, 9, 12, -6, 2, 6],\n [-6, 1, 8, 1, 5, -3],\n [-10, -7, 9, 10, 9, -4],\n [1, 8, 8, 11, -5, -12],\n [-10, 9, -7, -12, 5, -3],\n [10, 4, 8, -12, 9, 10],\n [-5, -1, 6, 1, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "181", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 6, -8, 9, 6, -9],\n [-8, -8, 12, 11, -12, 5],\n [2, 8, 6, 10, 1, -7],\n [5, -5, -8, 9, -5, -7],\n [-3, -10, 0, -6, -9, 0],\n [-7, 3, 9, 8, -12, 11],\n [0, -11, 7, 6, -7, -2]]\nB =\n[[4, -4, -8, -8, 3, -9, 7],\n [0, 4, -4, 12, 0, 3, 7],\n [-3, -3, 7, 3, 10, 7, -12],\n [-2, 0, 12, 5, -8, -9, 11],\n [-7, 2, 10, -11, -9, 1, -9],\n [5, 7, 3, -4, -5, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 0, -5, 1, -2, -4, -5],\n [1, 2, -12, 11, -1, -8, 12],\n [1, 12, 9, 3, 6, 3, -6],\n [-10, 10, -5, 8, 8, 1, 7],\n [-10, 11, -2, 9, 1, 9, -11],\n [-9, 8, -8, 6, -3, 8, 8],\n [-11, 8, -10, 2, 6, 8, 12]]\nB =\n[[-11, 12, -10, -1, 10, 1],\n [4, 3, 4, 11, -4, -10],\n [9, 1, -10, -7, 10, 8],\n [6, 11, 0, -8, -12, -1],\n [2, 12, 6, -11, -10, -6],\n [-2, -3, -5, -11, 1, 0],\n [-6, 8, -4, -6, -12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1138", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 12, -12, 3, -10, 0],\n [8, -9, 4, -3, -9, 7],\n [-1, 0, -9, 3, 6, -6],\n [-12, 3, -11, -12, 1, 7],\n [-8, 2, -3, 8, -11, -2],\n [3, 6, -9, -3, 9, 9],\n [-1, -11, -11, -4, -1, -11]]\nB =\n[[5, 3, 6, 2, 12, 3],\n [-7, 2, -1, 9, -1, -3],\n [8, 2, 10, -9, -3, 6],\n [10, 1, -3, 4, 9, -2],\n [5, -11, -2, -5, 6, 12],\n [3, -9, 1, 9, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4368", "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, -9, 8, 0, 4, 7, 8],\n [7, -3, 10, 11, -1, -5, -10],\n [8, -3, 11, -6, 12, -3, -6],\n [5, 7, 1, -1, -5, 12, -6],\n [-8, -12, 2, -4, -1, 9, 5],\n [-2, -3, -3, 5, -12, 7, -2],\n [-11, -2, 12, -11, -4, -12, 10]]\nB =\n[[-7, 9, -11, 2, -12, 11, 11],\n [5, -9, 0, -9, 2, -11, -4],\n [-1, 1, 7, -9, 2, -9, -8],\n [-3, -1, -1, -5, -9, -10, -12],\n [5, 7, 12, 1, 4, -7, -7],\n [-3, 6, -3, 12, -10, -12, 5],\n [2, 7, -9, 5, -3, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4814", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 4, -3, 12, -9, 12],\n [-8, -6, 6, 6, -5, -12],\n [11, -5, 6, 4, -4, 7],\n [10, 3, -4, 6, 3, 8],\n [0, 6, -8, -11, -9, -1],\n [5, -10, 8, 12, 6, 9]]\nB =\n[[-9, -9, 3, -2, 0, 8, -2],\n [-6, 1, -9, -5, -1, 0, 12],\n [-4, -4, -11, -10, 8, -1, 4],\n [-9, 1, 8, -4, -5, -12, 0],\n [-10, 1, 6, -7, -9, 7, -12],\n [-3, 0, -1, -2, -9, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-674", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[8, -10, -3, 8, 1, 6],\n [8, -9, 12, 1, -7, -1],\n [-11, 4, -12, 4, 12, -8],\n [3, 1, 7, -3, 8, 12],\n [-10, -10, 5, 11, 10, 5],\n [-9, -6, -12, 3, 4, -5]]\nB =\n[[-7, -11, -3, 4, 6, -9],\n [0, 8, 6, 3, 0, -8],\n [-1, -6, -4, -8, -9, -3],\n [3, -2, -4, 11, -8, 12],\n [-2, -4, 4, 9, -2, 8],\n [-7, 3, 6, 1, -10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 10, -9, 9, 8, -11, 0],\n [-2, -1, -12, 9, 8, -4, -1],\n [-6, 4, -3, -7, -6, 6, 1],\n [12, -2, -11, -12, -3, -1, -4],\n [10, -2, -12, 7, -3, 6, 10],\n [8, 12, -2, -10, 3, 9, -3],\n [-11, 6, -9, 3, -7, -2, 4]]\nB =\n[[2, 9, -9, 11, 12, -5],\n [11, 5, 1, -11, 3, 9],\n [2, 8, -7, -4, -1, -3],\n [-6, -8, 10, -5, -1, -12],\n [-3, -2, 10, 7, -8, 0],\n [5, -3, 8, 12, 4, 6],\n [-9, -4, 5, 3, -6, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1281", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -9, 8, -1, -1, -9],\n [-1, 10, -5, 11, -10, 3],\n [-11, -7, 4, -1, -4, 3],\n [-6, -5, -6, 8, -8, 10],\n [-6, 5, 5, 3, -6, 8],\n [-11, 4, 12, -5, -11, 5],\n [6, 7, -4, -1, 9, 6]]\nB =\n[[-5, 9, -5, -3, 5, 2],\n [11, -2, 8, 1, 2, 1],\n [-1, -9, -10, -1, 12, -6],\n [-6, 9, 12, 6, 1, -12],\n [-6, 12, 9, -3, 5, 0],\n [-5, -4, 2, -5, 12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-894", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 6, -4, 6, 2, 1, -12],\n [-10, -11, 12, -12, 5, -12, -4],\n [-6, 0, 4, 0, 0, -3, -7],\n [-8, -3, 1, -2, -8, -9, -10],\n [1, 0, 11, 10, -8, -1, 12],\n [10, -3, -11, -6, -6, -9, -1],\n [11, -9, -6, 7, 0, -5, 1]]\nB =\n[[-10, -11, -3, -7, 10, -6, 3],\n [-7, 3, 11, -1, 9, 2, 9],\n [-10, 3, 5, 2, 10, -7, 4],\n [-11, -11, 4, 6, -8, -9, 5],\n [-5, -4, 11, 10, 5, 9, -2],\n [3, 3, -9, 8, -4, 0, 12],\n [7, -5, -2, 8, -4, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4787", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-10, 10, 5, 6, -4, 11, 5],\n [9, 3, 1, 6, 9, 2, 8],\n [-9, -1, -6, -2, -6, 7, -10],\n [-9, -11, 7, 2, 7, -1, 8],\n [4, 5, -5, 11, -5, -8, 11],\n [-4, 7, 7, 10, -8, -3, -12],\n [11, -9, 11, 3, 5, -1, 7]]\nB =\n[[2, 5, -8, 1, 11, -6, -2],\n [2, 8, -2, -6, 8, 10, 7],\n [7, -9, 11, -12, 8, -11, -9],\n [-8, 11, -11, -11, 5, 11, 1],\n [-10, 8, 5, 9, -3, -7, -11],\n [7, -2, 5, 1, 7, 0, -6],\n [8, 7, -3, 6, 0, 9, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "346", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -1, -5, 5, 12, -11],\n [3, -5, 3, -5, 10, 0],\n [-7, -12, -11, -6, 0, -9],\n [-4, 6, 7, -10, 10, -11],\n [3, -3, -1, 5, -11, 1],\n [-1, 7, 11, 11, 11, -5],\n [10, 9, -6, 0, 2, 1]]\nB =\n[[-8, -5, 5, -8, 10, -4],\n [-3, 4, 12, -10, -12, -6],\n [2, 6, -5, -2, -11, 7],\n [-11, -2, 7, 4, -3, -8],\n [-10, -4, 7, 9, 12, -11],\n [10, 6, 4, 12, 12, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1479", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -4, 10, -9, 5, 3],\n [8, 11, -3, 9, -1, -2],\n [-8, 7, -2, 3, 2, -7],\n [0, 3, -10, 5, -12, 12],\n [4, 7, -7, -4, -9, -6],\n [10, 9, 12, -2, 10, -10]]\nB =\n[[3, -7, -6, -1, -6, 9],\n [6, 9, 3, 5, -3, -12],\n [-5, -10, 3, 11, -10, -11],\n [-1, -5, 6, 11, 5, 7],\n [12, 2, 4, 5, 5, -4],\n [-8, -2, -9, -3, -9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "232", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 12, 3, 8, -2, -4, -12],\n [-3, -1, 11, -11, 2, 11, 7],\n [3, -11, 0, 5, 9, 6, -2],\n [1, -10, -4, -8, 1, -6, -1],\n [8, 5, -2, 11, -4, -2, 5],\n [-11, 7, 0, 2, -5, -8, -8]]\nB =\n[[-6, -1, 7, -1, -4, -9, -5],\n [6, 9, -12, 10, -2, 10, 0],\n [5, 8, 7, -3, 0, 12, -1],\n [0, -11, -10, 4, 8, 6, -1],\n [3, 7, 7, 9, -3, 10, 10],\n [2, -5, 6, -8, -1, -3, 9],\n [1, 9, -1, 11, 0, 8, 8]]\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[[4, -12, 9, -3, -8, -2],\n [-3, -7, 2, -4, -5, 10],\n [10, -7, -7, 4, -1, -6],\n [-8, 3, 10, -7, -5, -10],\n [-5, -6, 4, 6, 7, 1],\n [12, -7, -6, -8, 6, 8]]\nB =\n[[-6, -4, -1, 12, 2, 2],\n [11, 8, 3, 10, 7, 2],\n [-8, -1, -9, -10, -12, 0],\n [-8, -1, -11, -7, -8, 5],\n [11, -8, 5, 3, 4, -11],\n [4, -3, -10, 1, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1573", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[-12, -6, -6, 0, -4, -8, -9],\n [-8, 11, 11, 7, -1, -5, 0],\n [-9, 7, -2, 2, 11, 1, 5],\n [7, -12, -12, -2, 11, 7, -7],\n [-8, 0, -3, -7, -9, -9, -6],\n [3, -12, -4, 6, 7, 2, -4],\n [8, 7, 9, -12, -12, 3, -8]]\nB =\n[[8, -4, -12, 6, 3, -10],\n [-9, -1, -6, 2, 10, 2],\n [-8, 12, 10, -11, -1, 6],\n [10, -8, 10, 12, 12, -10],\n [11, -7, 0, 7, 2, -9],\n [7, -6, 9, 5, 8, 8],\n [9, -6, -1, -2, 11, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-182", "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, -5, -2, 8, 5, -3],\n [-5, -7, -10, 7, -1, 4],\n [-10, 7, 5, -1, 9, 11],\n [3, 9, -3, 6, -4, 1],\n [7, 1, 9, -9, 2, 7],\n [-11, 5, -11, 5, -5, -3]]\nB =\n[[7, -9, -3, -3, -10, 8, -9],\n [10, -3, -6, 9, 10, -1, -6],\n [0, -5, 0, -12, 3, 6, 6],\n [8, 0, -6, 2, -7, -9, 9],\n [10, 7, -2, 11, 8, 6, -11],\n [4, 2, 7, 5, -1, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3565", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[1, -7, -9, 8, -5, 7],\n [9, -10, -5, 0, 6, 2],\n [10, -6, -10, 6, -3, 3],\n [1, -5, -2, 6, -11, -8],\n [-2, -6, -5, 4, -1, 5],\n [-6, -4, 6, 1, 11, 6],\n [7, 5, 12, 2, 8, 8]]\nB =\n[[-9, 0, -8, -1, 4, -3, -1],\n [-7, 7, 7, -1, 0, 8, 4],\n [7, -3, 6, -8, -8, -5, 4],\n [-10, 8, 3, 6, -7, -3, 3],\n [0, -10, 9, -5, 7, -5, -6],\n [-2, 7, -10, 8, 8, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-844", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[4, 12, 5, 12, -4, 0],\n [2, 6, 2, -6, -10, 11],\n [-5, 0, 3, -10, 8, 10],\n [-12, -10, 3, -12, 5, 1],\n [-6, 10, -10, 9, 3, -7],\n [5, 12, 0, 11, -11, -1],\n [-9, -4, 7, 10, -8, -3]]\nB =\n[[-7, -12, 7, -8, -7, 9],\n [8, 6, -2, 2, -11, 2],\n [-6, 4, -1, -1, -8, 7],\n [-6, -11, 0, 11, -4, 2],\n [2, -12, 8, 7, 8, 12],\n [-10, -12, 6, 7, 0, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3572", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 4) when matrix A is multiplied by matrix B?\nA =\n[[0, 5, 4, -12, 2, 11, -9],\n [-11, 6, -5, 9, 3, -5, -3],\n [3, -8, 6, -7, -3, 11, -8],\n [8, 6, 6, 0, 2, -5, -2],\n [-12, -9, 12, 9, 9, 0, -6],\n [-6, -7, 12, -5, -1, 11, 5]]\nB =\n[[10, 2, 3, -12, -3, 2],\n [11, 0, 6, 0, -4, 8],\n [3, 10, 1, 10, -4, 5],\n [-9, -1, 11, -8, -2, -8],\n [6, 8, -6, -9, -5, -7],\n [-7, 9, -9, 1, -10, -3],\n [9, -7, 5, -3, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "237", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[7, -9, -2, -1, 11, 6],\n [-3, -6, -6, 5, -10, -1],\n [1, 7, -11, -4, -3, -7],\n [4, 2, -12, 11, 9, 0],\n [-3, -1, 10, 9, 3, -11],\n [-10, -5, 7, 2, 11, 6]]\nB =\n[[5, 10, -12, 6, -11, -8, 5],\n [3, -3, 8, -10, 12, -3, 12],\n [11, 0, 8, -3, -2, -6, -11],\n [6, 5, -2, 4, -10, 7, -1],\n [12, -11, 12, -12, -4, 9, 11],\n [6, -5, -4, -6, -9, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "431", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 5, -11, -2, -8, 4],\n [-8, -10, 6, -5, -2, -10],\n [-10, -12, 11, 0, -3, -7],\n [-2, -5, 6, -2, -7, -1],\n [5, -10, 0, -9, -4, 3],\n [-1, 7, -6, -1, -5, 8],\n [2, -11, -2, 11, 8, -8]]\nB =\n[[10, -7, 6, 1, -6, -1],\n [4, -9, 7, 9, 9, -3],\n [11, -12, 10, -9, 0, -7],\n [2, 1, 12, -10, 11, 6],\n [-7, -11, -4, 0, 5, -1],\n [8, 9, -9, 10, -6, -1]]\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 all entries of the result:\nA =\n[[10, -2, -6, -3, -4, -11, -8],\n [-3, 12, 1, 3, -11, 6, 10],\n [-4, 1, 2, 6, -5, 2, -5],\n [-9, -7, -2, -1, 11, -4, 5],\n [4, 8, -10, 0, -7, 1, -12],\n [-9, 9, 5, -2, -2, -5, -9]]\nB =\n[[-11, -12, 11, -3, 4, -6],\n [-6, 0, 9, 11, -12, -12],\n [0, -12, -7, 10, 12, -3],\n [8, -12, 12, -8, 9, 12],\n [-11, -10, 10, -10, 5, 10],\n [-5, -4, -11, -11, 3, -6],\n [-9, -8, -12, 9, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "959", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, 2, -12, 5, 10, 1, 5],\n [12, 9, -1, -1, -8, -6, 11],\n [0, -4, -7, 8, -6, 5, 2],\n [-5, 7, 3, 4, -10, 0, -4],\n [7, 2, 3, 3, 6, -9, 6],\n [6, -11, -7, 0, 2, -3, 9]]\nB =\n[[-3, -9, 1, -5, -7, -1],\n [-5, -7, 2, 12, 6, 1],\n [-10, 5, -3, 1, 1, 9],\n [-6, -6, 8, 9, 10, -2],\n [5, -3, 2, -1, 10, 4],\n [9, 11, 4, -12, -7, 8],\n [2, 6, 1, -3, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2670", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, -6, 1, 2, 9, 7, -4],\n [2, -4, 10, -6, 11, -2, -8],\n [-4, -7, -6, 10, 12, 10, 1],\n [6, 9, 9, -2, -6, -7, -9],\n [1, 9, -10, 4, 2, -12, 8],\n [-2, 0, 11, -10, 0, 5, 11],\n [-4, 12, -11, -5, -11, 10, 11]]\nB =\n[[-12, 11, -10, 4, -6, -3],\n [6, 11, -4, 5, 2, 4],\n [11, 9, 4, 6, -4, 12],\n [-7, 6, -5, -7, 4, -7],\n [0, 8, 11, -11, -1, -6],\n [-7, 4, -5, -7, 6, 8],\n [10, -4, 7, 3, 5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "964", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 6) of the result:\nA =\n[[-6, -5, 8, 6, -12, 0, -12],\n [-2, -11, 8, -10, 0, -6, -11],\n [-11, -10, 0, -1, -12, 5, -8],\n [6, -3, -7, 5, 2, 1, 11],\n [3, -9, 6, 8, -5, 12, -12],\n [7, 9, 9, 0, -4, -12, 2]]\nB =\n[[2, 1, -8, 4, -7, -4, 7],\n [12, 6, 10, 8, 4, -6, -5],\n [2, -7, -12, -4, -6, 9, 7],\n [6, -9, -12, -4, -11, 3, -11],\n [-10, 1, 0, 4, -3, -10, -9],\n [12, -8, -2, -7, -12, 6, -6],\n [10, -3, -1, -1, -12, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[10, -1, -11, -4, -1, 12],\n [12, -9, 9, -1, 5, -10],\n [9, -12, 10, 5, 11, 8],\n [10, -5, 6, 9, 12, -9],\n [10, 3, 4, 10, -4, -5],\n [7, 6, -6, -1, -12, 11]]\nB =\n[[4, 10, -7, 11, 9, -8],\n [12, 7, -6, 9, 9, -1],\n [-8, -11, -9, 4, 12, 12],\n [-5, 7, -8, 4, 7, -9],\n [8, 5, 5, 5, 3, -2],\n [-5, -1, 5, 9, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "174", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[3, 4, -11, 8, 9, 2, 12],\n [9, 11, -6, -12, -11, -9, 3],\n [-1, 4, 11, -9, 3, -6, 10],\n [-5, 12, -4, 1, 10, -4, 2],\n [8, -9, -10, 9, -3, 12, -9],\n [5, -2, 6, 6, 5, 0, 12],\n [-9, -10, 3, 1, -3, -7, -5]]\nB =\n[[11, 3, -3, 9, 8, -6, 6],\n [5, 0, -5, 1, -4, -1, -7],\n [7, 9, 10, -1, 11, 6, -1],\n [9, 9, -6, 2, 3, -9, -7],\n [3, 2, -11, 11, -10, 2, 12],\n [-5, -1, 9, -11, 2, -5, 9],\n [-2, 4, 9, 8, 9, -12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[10, 2, 8, 9, -11, 11],\n [-3, 7, -7, -10, 12, 0],\n [11, 2, -7, -4, -3, -4],\n [5, -4, 11, 5, -4, -8],\n [0, -1, -4, 6, 7, -12],\n [-2, -8, -6, 0, 10, -7],\n [0, -7, 2, -5, -2, -3]]\nB =\n[[-4, -9, 1, -9, 11, 2],\n [8, -3, 1, 12, -7, 3],\n [12, -1, -9, -12, -9, 12],\n [0, -6, 2, -7, 1, 5],\n [-9, -12, -10, 0, 5, -9],\n [-9, -2, 1, 12, -6, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4015", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, -5, -1, -6, 11, 3, 12],\n [4, 9, -9, 4, 5, -9, 4],\n [2, 9, 4, 0, 12, -10, -1],\n [4, 9, 9, -6, -6, -2, 3],\n [-9, 3, -8, 6, 9, 1, -6],\n [-4, 12, 0, 3, 8, -9, -6],\n [-10, 7, 2, 12, 8, 1, -6]]\nB =\n[[5, 12, -8, 8, 7, -5, 7],\n [5, 8, 6, 7, -10, 10, -7],\n [5, 2, 1, 11, 8, 9, -5],\n [-2, -2, -1, 3, -6, -10, -11],\n [-10, -5, 7, -5, -9, 10, 0],\n [9, 4, 11, 9, 5, -8, -1],\n [-11, -3, -6, 2, 9, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6225", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[3, 9, -12, 2, -10, -3],\n [3, -11, 4, -12, -9, -2],\n [4, -11, -12, -7, -2, -9],\n [11, -2, -8, -3, -8, 11],\n [9, 9, -10, -7, 0, 3],\n [-6, 5, -10, -7, -3, 3]]\nB =\n[[12, 0, 12, 11, 11, -4],\n [3, -2, -4, -3, -2, 12],\n [8, 9, 2, 8, 0, 4],\n [-9, -2, -12, -12, -10, 10],\n [2, -12, 10, 3, 4, -4],\n [-8, -7, 2, -4, -10, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "547", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 0, 0, 10, -10, 7, 1],\n [-11, 12, -3, -4, 0, -2, -11],\n [3, -8, -12, -5, 9, 3, 1],\n [-11, 5, 8, -6, 12, 12, -1],\n [2, 9, -11, 9, 4, -2, -11],\n [6, -8, 4, 3, 0, 0, 0]]\nB =\n[[-8, -8, 7, 6, -6, -2, 10],\n [-12, -6, -10, 0, -10, -7, 9],\n [2, -9, -8, -10, 6, 12, 8],\n [3, 4, -4, 9, -4, 1, 10],\n [-2, -3, 10, -8, 10, -9, -2],\n [-7, -11, -10, 5, 5, -6, 8],\n [0, 0, -7, -10, -3, 8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4900", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-2, -9, -3, -9, 0, -5, -7],\n [-2, -11, 5, 5, 9, -1, 4],\n [6, 4, -9, 4, 3, -4, -2],\n [-1, -2, 0, 9, -5, 1, 5],\n [1, 3, 2, 9, 7, -6, -5],\n [-7, 0, 4, -5, -2, 4, -4],\n [-11, -3, 9, 11, 8, 1, -11]]\nB =\n[[-8, 4, 11, -5, 5, 9],\n [11, -5, -1, 1, 10, -10],\n [1, -9, -12, -4, 1, -3],\n [5, -3, -6, -5, 1, -9],\n [-2, -3, 4, -8, -3, -3],\n [9, -6, 4, 7, -1, -8],\n [-8, 10, -9, -6, 11, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1070", "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, -12, 0, 4, -4],\n [-9, -4, -6, 10, -11, 5],\n [8, 2, -3, 4, -6, -2],\n [-6, -2, 11, 10, 11, 2],\n [6, 6, 11, 12, -3, 3],\n [7, -5, -12, -11, -3, -3],\n [-3, -4, 5, -11, 11, -8]]\nB =\n[[8, -2, -7, -5, -5, 12, -3],\n [-2, 6, 12, 1, -2, -10, -12],\n [8, 10, -10, -4, -12, 9, -1],\n [-1, -7, -5, -10, 8, -2, -2],\n [-8, 11, -6, 6, -6, -3, -5],\n [8, 8, 1, -12, 0, 11, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5570", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 8, -8, -10, -1, 2, -10],\n [3, 5, -4, -5, -2, -10, -8],\n [-3, -8, -5, -7, 10, 8, 3],\n [-1, 4, -5, -9, 8, 4, -10],\n [5, 3, -11, 0, -12, 9, 11],\n [-10, -12, -11, 6, 9, -10, 12]]\nB =\n[[-12, 10, 11, -4, -5, -8, -12],\n [2, 4, 2, -5, 10, 8, -10],\n [-4, 7, 1, -7, 7, 12, -9],\n [11, -1, -10, 11, -10, 8, 4],\n [-7, 2, -2, 5, -10, 4, -2],\n [-7, -8, -3, -11, 2, -2, 11],\n [12, 1, 1, -10, 9, 9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-597", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, -3, 9, -5, -1, -8],\n [0, 11, -1, -10, 10, 4],\n [7, -8, 10, -7, 0, -7],\n [0, 2, -11, -2, 3, 5],\n [-11, -3, 0, -5, -6, 3],\n [4, -4, -5, 12, 7, -8],\n [-8, 12, 11, 0, 3, 9]]\nB =\n[[-2, 2, 4, 2, 10, 12, -1],\n [-9, -9, 8, 3, 2, -5, 8],\n [7, -5, -2, 8, 11, 4, -10],\n [-6, -1, -12, -2, -8, -7, 1],\n [4, 10, 12, 12, -10, -9, -12],\n [-9, 1, 8, -6, 8, 11, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-169", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-12, -11, 10, -10, 5, -2, -1],\n [1, -4, -3, 0, 11, 11, -10],\n [-4, 11, -11, 10, -5, -6, -4],\n [0, -6, -6, -12, -11, 8, 4],\n [-3, 2, 3, 10, 8, 0, 8],\n [-5, -4, -12, -9, 5, 12, 12],\n [-12, -10, -3, 11, -11, 5, -11]]\nB =\n[[0, 8, -4, 10, 10, -11],\n [-11, -8, 1, 10, 10, 12],\n [-10, 1, -12, -4, 3, 4],\n [-5, 2, 8, -5, -6, -4],\n [-11, 12, -3, -8, 3, 8],\n [-12, -7, -3, -3, 6, 0],\n [6, -10, 0, -9, 12, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-885", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 9, 11, 11, 4, 12, -12],\n [-11, -4, 10, -12, 6, 4, -8],\n [2, 7, 11, 12, -1, -9, 2],\n [-10, 1, -9, 6, -7, 4, 5],\n [-5, 6, 7, -1, 4, 6, -12],\n [-2, -3, 3, -8, 4, -4, 10]]\nB =\n[[-5, 12, -3, -5, -10, 10, 10],\n [10, -1, 11, -9, 9, 5, 10],\n [-4, 8, -9, -11, -6, 5, -11],\n [12, -11, -3, -10, 6, -11, -10],\n [-4, -2, -2, -10, -8, -1, 2],\n [10, 4, 3, 4, 2, 0, -11],\n [4, -12, -3, -9, -3, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-407", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 1) of the product of the following matrices:\nA =\n[[-12, 6, -12, 6, -9, 0, 1],\n [1, 11, -10, 6, 12, -2, -4],\n [-7, -9, -8, -4, -12, 10, 2],\n [-2, 10, -12, 4, 2, 1, -4],\n [10, -9, -4, -8, -10, 5, -4],\n [-9, -6, -12, 3, 12, 12, -7],\n [-7, 1, 9, -8, -2, -12, 7]]\nB =\n[[-3, -12, 8, -9, -5, -12],\n [-5, 1, 11, 4, -4, 12],\n [-7, -12, 10, 10, -4, -12],\n [1, 11, -2, -5, 10, -1],\n [-7, 4, -2, -3, -5, -1],\n [8, -9, 8, 8, 0, -10],\n [7, -9, -5, -8, 9, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "296", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, -5, 11, -8, 3, 8, 2],\n [6, 0, -2, 3, 5, 12, 2],\n [-7, -5, -9, 8, 3, 8, -2],\n [7, -11, 9, -9, 1, -2, -9],\n [-10, 11, 9, 12, -8, -7, -4],\n [-9, -6, 0, -3, -1, -3, -2],\n [-2, 9, -7, -7, 7, -7, -1]]\nB =\n[[10, 1, 5, 12, 10, 6],\n [-3, -3, -6, -3, 1, -8],\n [12, 9, -2, -6, 7, 5],\n [-2, 7, 12, -10, -6, -9],\n [6, 8, 5, -2, 1, -3],\n [1, -9, 10, -1, -1, -11],\n [-7, -8, 6, 8, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "408", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-6, 6, -5, 2, 10, -9, 0],\n [-8, -2, 3, 7, 5, 2, 12],\n [-12, -5, -9, -4, 6, -6, 2],\n [-10, -1, 10, -11, 6, 11, -6],\n [-2, 6, -5, 0, -4, -11, 5],\n [2, 10, -2, 11, 2, 8, 5],\n [1, 8, 6, 0, 12, 3, -11]]\nB =\n[[12, -11, 4, 9, 9, 7],\n [5, -3, -1, -10, -7, 7],\n [-8, 12, 8, -5, 5, 3],\n [1, -7, -2, -7, -8, 2],\n [-7, 8, 3, 5, 8, -12],\n [-10, 10, 7, 11, -10, -6],\n [1, 5, 11, 2, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4523", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, -11, -6, 0, -9, -7],\n [5, 6, 2, -10, 7, 4],\n [3, 0, 9, 9, 7, -5],\n [8, 1, -9, -6, -3, 2],\n [3, -5, -11, 4, -7, 3],\n [-11, 11, 8, 5, -2, -1],\n [-8, -11, 9, 11, 5, 9]]\nB =\n[[-7, -12, -4, 2, -5, 1, -9],\n [-6, 7, -5, -3, 5, 5, 6],\n [-9, 0, -7, 8, 0, 10, 9],\n [3, 7, -3, -4, -6, 4, 11],\n [7, -6, -11, 6, -12, -11, -8],\n [5, -7, -7, 9, 3, 3, -10]]\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[[-10, 10, -9, -7, 11, -10, 12],\n [-4, -10, -7, 8, 7, 11, -4],\n [2, -4, -8, 8, 3, -10, -4],\n [4, -10, -6, -6, 8, -7, 7],\n [-5, -9, 2, -7, 3, -8, -1],\n [1, -7, -10, 6, -3, -6, 0],\n [-12, -12, 4, 9, -9, 1, -7]]\nB =\n[[1, 2, -12, 7, 3, -9],\n [-11, -12, 0, 3, -5, 9],\n [-9, -11, 0, -8, 12, 10],\n [7, 8, 11, 0, -8, 3],\n [-7, 3, 9, 11, 0, -2],\n [8, -12, -9, -10, 5, 10],\n [3, 0, 0, -6, 11, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1841", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 7) of the result:\nA =\n[[2, -8, 4, 9, 9, -2],\n [11, 0, -3, 2, -11, -2],\n [12, -2, 9, -12, 12, -5],\n [4, -5, 0, 10, -8, -7],\n [7, 12, 12, 1, 4, 3],\n [-4, 6, -11, -9, 7, -4],\n [-9, -8, -7, 7, -12, 0]]\nB =\n[[5, -10, 7, -8, 0, -3, -10],\n [-2, -12, 2, 11, 11, -9, 2],\n [-6, 2, -9, -10, 10, 1, -7],\n [-12, -4, -1, 5, -10, 8, 6],\n [-10, 11, 1, -9, 0, 0, -11],\n [8, -11, -3, -2, 11, 2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-341", "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, 5, 6, 6, -12, 6, -10],\n [7, -5, 12, 4, -12, -7, 4],\n [8, -12, 0, 11, -1, -8, 9],\n [7, 0, -5, -1, 12, -4, 4],\n [1, -6, -9, 11, -6, 4, 4],\n [-12, -11, 5, -4, -8, -12, -6]]\nB =\n[[-11, -10, -9, -10, 6, 12, -1],\n [2, -9, 11, -12, 3, -7, 4],\n [-8, 10, 0, -1, -12, 12, -1],\n [12, 9, -11, 5, -4, 3, 7],\n [2, 9, -3, -11, -9, 5, 6],\n [5, 1, -5, -8, -8, -5, -2],\n [11, 10, 8, -6, 0, 4, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4515", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, -11, -7, 6, 2, -9],\n [6, -6, 7, 8, 1, -6],\n [7, 1, 9, 12, 9, -8],\n [2, -1, 4, 11, 8, -8],\n [6, -3, -1, -11, 4, 12],\n [-8, 2, 7, 10, 0, 7],\n [-2, 5, -4, 3, 11, 2]]\nB =\n[[-9, 11, -1, 0, -4, 2],\n [5, 7, 9, -6, 8, -1],\n [-3, -6, 1, 2, -9, -5],\n [6, 6, -8, 9, -10, -3],\n [2, -11, 8, -3, 9, 3],\n [-10, -6, 6, 2, -1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 1) of the result:\nA =\n[[0, 7, 6, -6, 11, -10, -7],\n [-12, 8, -11, -12, 10, -9, -8],\n [-11, 3, -5, 2, -2, -3, -10],\n [10, -2, 4, -3, 4, 1, 10],\n [-12, 12, -4, 11, 11, 2, -9],\n [7, 8, 12, -10, 7, 8, -6],\n [8, 12, 9, -10, 9, 9, 2]]\nB =\n[[-3, 3, 4, 10, 6, -12, -12],\n [8, 1, -11, -11, 7, -3, 2],\n [2, -6, -5, -2, 3, 10, 12],\n [-6, 7, -4, 12, 6, 11, -12],\n [5, -5, -5, 9, -5, 1, 11],\n [-11, -10, -6, -10, 2, -2, -11],\n [9, 5, 1, 5, -11, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "20", "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, -8, 7, 5, -2],\n [-5, -1, 5, 2, -5, -9, 8],\n [2, -2, -12, -11, -5, 3, -12],\n [-10, 5, 3, 8, 7, 7, 0],\n [7, -9, -9, 9, -11, 0, 0],\n [7, -6, -6, 4, -3, -1, 12]]\nB =\n[[10, 9, 3, -11, 9, 8],\n [-4, -1, 4, 3, -8, 6],\n [12, 4, 9, -10, 4, 2],\n [6, 2, 5, -1, -1, 11],\n [-10, -2, 10, -3, 9, 2],\n [10, -2, 10, -12, 7, -9],\n [8, 8, -5, 7, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3532", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 8, -12, -10, 11, 8],\n [10, 4, 9, 11, 9, -9],\n [-5, 2, -5, 1, -7, 11],\n [9, 2, 7, 9, -4, 11],\n [10, -8, 0, -6, 4, -5],\n [-8, 10, -6, -5, -6, 9],\n [-1, -7, 8, 8, -9, 10]]\nB =\n[[-10, -8, 6, -5, -8, 0],\n [-3, -7, -12, -2, 7, -4],\n [3, 2, -8, 2, -12, 2],\n [-9, 3, 9, -6, 10, -5],\n [8, 9, -11, -1, -11, 1],\n [6, 7, -7, 9, 6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "234", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 4) of the result:\nA =\n[[-10, 7, 12, -3, 11, 0, 7],\n [10, 12, 5, 6, 4, -5, 5],\n [-6, 10, -2, -10, -11, 6, 11],\n [12, -2, -5, -2, -11, -1, -4],\n [-7, -1, 5, 12, -8, 9, 4],\n [3, -1, -11, 3, -12, 7, -11]]\nB =\n[[0, 3, -12, 6, -9, 7],\n [-10, -11, -1, 11, 0, 5],\n [-8, 10, 12, -1, 6, -12],\n [-4, -12, 11, 5, 10, -10],\n [-7, 9, -9, 11, -1, -1],\n [-8, 10, 8, 0, -1, -9],\n [-7, 6, -7, -7, -2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "62", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[1, -10, -5, -9, 3, 5, -6],\n [-2, -5, 7, -7, 11, 3, -8],\n [12, -7, -7, -11, -6, -4, 2],\n [8, 1, 8, 0, -8, 4, -8],\n [11, -10, -4, -4, 9, -9, 7],\n [-2, 4, 1, -3, -8, 8, 8]]\nB =\n[[4, 3, -12, -3, -1, 5, -12],\n [11, -1, 7, -7, -5, 1, -8],\n [9, -9, 9, 3, -7, -10, -9],\n [9, -5, 1, -6, -9, 6, -2],\n [2, 11, 3, -7, -1, -5, 12],\n [12, -3, -2, -4, 4, 1, -10],\n [-4, 7, 5, 4, -8, 7, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 11, -7, -10, 3, 2],\n [12, -5, -4, -9, 0, 11],\n [-10, 8, -6, 3, 4, 4],\n [6, 7, 4, 11, -11, -8],\n [3, 9, -2, 9, -7, -2],\n [-12, 6, -10, -5, 9, 5]]\nB =\n[[0, -12, 7, 4, -8, -1, -2],\n [11, 5, -5, 11, 9, 11, 0],\n [-11, 10, 3, -1, -5, -9, 1],\n [-4, -2, 3, -7, -1, 6, 3],\n [0, -9, -1, -9, 4, 1, 4],\n [-12, 7, -12, 9, -11, 4, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4262", "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, -12, -1, 0, 1, -3],\n [-1, 12, 9, 5, -6, 6],\n [2, -6, 1, -4, -8, -12],\n [3, -8, 11, -5, 6, 7],\n [-1, -5, -5, 10, -7, 7],\n [-4, -11, 5, -12, -2, 2]]\nB =\n[[-1, -10, 6, 7, 6, -3],\n [3, -7, -4, -5, 9, 3],\n [-5, 11, 9, 5, -8, 7],\n [-1, -7, -11, -9, 3, 11],\n [1, 4, 6, -9, 5, -1],\n [-11, -7, -7, -10, -5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3955", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 3) when matrix A is multiplied by matrix B?\nA =\n[[-10, -11, 8, 10, -12, 5, 5],\n [-5, 9, 1, 0, 2, 2, 0],\n [-9, -9, -8, -10, -1, 7, -1],\n [7, -6, -6, -12, -1, -10, 2],\n [-4, 9, 9, 7, -4, 1, -10],\n [-5, -7, -1, -11, -10, 1, 4],\n [-10, -9, 2, 9, -6, 6, 1]]\nB =\n[[3, 0, 10, 7, 4, 4],\n [11, -3, -6, 7, 4, 9],\n [-1, -2, -3, 10, 9, 9],\n [-5, 2, 9, 5, 10, 0],\n [3, 0, -9, -2, 6, -5],\n [-3, -1, 8, 7, -2, 7],\n [8, -9, 6, 7, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-43", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 0, 8, 5, -6, 1],\n [-8, -4, 9, 4, 12, -8],\n [3, -4, 4, 5, -10, -8],\n [9, 8, 4, 7, 9, -9],\n [-9, 8, 11, 8, -6, -5],\n [9, 9, -11, -3, -8, 4],\n [12, -6, -11, -7, -3, -4]]\nB =\n[[-8, -10, -2, -3, 3, 7],\n [6, -12, -2, 2, -6, -5],\n [3, 5, 11, 12, 10, -2],\n [-12, 3, -9, 10, -7, -2],\n [11, -7, -3, -7, -3, 9],\n [10, -8, -4, -6, 4, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4571", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, -2, -7, 11, 12, -2],\n [-2, 1, 3, -11, -11, -8],\n [1, 8, -3, -3, 5, 7],\n [-4, -9, 4, 8, -11, 1],\n [9, -12, 10, -6, -9, -4],\n [-10, -8, 8, 11, -3, -3],\n [-9, 4, 8, 4, 6, -7]]\nB =\n[[-12, 1, 0, -10, 10, -11],\n [9, -6, -1, -11, -2, 3],\n [-8, 4, -10, 1, 3, 4],\n [6, -9, 8, 7, 7, 12],\n [12, -4, -2, -8, -2, 0],\n [8, -11, 9, -11, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "678", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[-8, -2, 2, -8, 7, -8],\n [-6, -3, -11, -12, 7, 10],\n [-12, -9, 2, 2, -7, -7],\n [-12, -6, -8, 9, 4, -6],\n [-9, -10, -1, 2, 7, -4],\n [8, -1, -8, -5, 2, -6],\n [6, 0, -12, -2, 0, -11]]\nB =\n[[6, -2, -12, -12, -5, 0],\n [-5, -11, -5, 1, -11, 0],\n [-8, -12, -4, 7, -3, -2],\n [5, 4, -7, -2, 11, -9],\n [-12, -12, 9, 5, -8, 3],\n [-11, -4, -11, -8, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "134", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[12, 6, -3, -5, 7, -2, 0],\n [0, -4, -8, 5, -5, 7, 1],\n [-11, 9, 3, -12, 11, 12, 10],\n [0, 12, 5, -12, -6, -9, -3],\n [-5, -10, 10, -6, 12, 3, 7],\n [-3, 0, -12, -6, -3, -1, 1],\n [9, -2, 4, -4, -5, -3, -9]]\nB =\n[[-8, 11, 5, -7, -3, 5, -2],\n [11, -8, -10, 5, -9, -5, 4],\n [-3, 6, -12, -11, -2, 2, 10],\n [-12, -4, -5, -12, -3, 4, 5],\n [3, -11, 9, 4, -9, -6, -4],\n [-10, 7, 8, -8, 5, 8, 4],\n [-6, 1, 2, 8, 9, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4817", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, 6, -12, -5, 5, -11],\n [-9, 8, -12, 6, -2, 11],\n [-7, 6, 1, 10, 9, 8],\n [11, 11, 6, 11, 12, 0],\n [-1, -3, 6, -2, 11, 11],\n [-1, -6, -5, 4, -10, -7]]\nB =\n[[-1, 2, 10, -6, -7, -1, -1],\n [-9, 8, -4, 4, -11, -8, 8],\n [10, 11, -3, -7, -7, 8, -8],\n [-5, 8, 9, -10, 1, -8, 2],\n [-4, 2, 6, 3, -5, 2, -2],\n [10, -9, 8, 11, -3, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-46", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-11, -5, -5, -4, -11, 1],\n [7, -11, -9, -10, 10, 1],\n [8, 3, 2, -6, 5, 7],\n [-7, 8, 3, -2, -11, 10],\n [-11, 1, -4, 10, -1, -10],\n [9, -8, -4, -10, 5, -11]]\nB =\n[[-9, 0, 4, -4, 6, 1, 0],\n [-8, 5, 11, 2, -2, 6, -8],\n [-6, -11, 6, 11, 3, 11, -10],\n [-3, -1, 10, -11, 12, -5, 12],\n [-4, 10, 7, -1, -8, 10, 0],\n [-8, 2, 11, 8, -8, -8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-456", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 5) of the result:\nA =\n[[10, 3, 5, -3, 7, -10],\n [-3, 0, 11, 10, -10, -9],\n [0, 1, -9, -1, 3, -3],\n [10, 11, 7, 11, 4, 12],\n [-6, -9, 11, -1, -3, -11],\n [1, -5, -3, -7, 10, 10],\n [-11, 1, -2, -11, -9, -7]]\nB =\n[[-9, 9, -8, -7, -4, 9],\n [9, 3, -2, -2, 11, 8],\n [8, -3, -12, 9, 4, -5],\n [3, 12, -7, 1, 12, -11],\n [-4, -9, 6, 4, -12, 11],\n [-11, 4, -11, -10, -9, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "377", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[12, 10, -1, 8, -8, 1, -7],\n [-12, 3, -7, 0, 0, -2, 3],\n [9, 1, -2, -8, 12, -3, 8],\n [12, 2, -6, -10, -2, -4, -3],\n [10, -9, 12, 9, 12, 7, 5],\n [1, -4, 7, 3, -11, 10, -6],\n [-8, 8, 11, 9, 4, -2, -9]]\nB =\n[[4, 8, -8, -9, 12, 11],\n [-3, -10, 8, -7, 8, -5],\n [-8, -5, -3, 6, 8, -9],\n [-7, -10, -9, -9, -8, 2],\n [3, -7, 5, -1, 11, 7],\n [-6, 10, -1, 1, 0, -2],\n [-2, -11, 1, 2, 10, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-24", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 1, 5, 8, 11, 10, -10],\n [12, -1, -8, -10, -6, 3, 7],\n [4, 8, -5, 2, 7, 2, 10],\n [-5, 12, -2, 12, 8, 9, 10],\n [-3, 5, -4, 3, -12, 9, -7],\n [10, -11, 0, 9, -7, -4, 1]]\nB =\n[[11, 8, -6, 10, -8, -6],\n [-10, 10, 0, 9, -1, -7],\n [-11, 2, 2, 5, 10, 4],\n [12, -10, 9, -10, -4, -3],\n [-1, 10, -12, -9, 8, 10],\n [10, -8, 4, 8, -8, -9],\n [9, 2, 11, -3, -8, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4268", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, 8, 0, 6, -5, -1, 7],\n [6, 6, -7, -5, -3, 8, 4],\n [-12, 6, -1, 9, -11, 4, -6],\n [1, 1, -1, 3, 5, -5, -11],\n [-2, -12, -3, 5, 3, -11, 10],\n [4, 3, 6, -8, 10, -7, 11],\n [4, 3, 3, -6, 3, -4, 10]]\nB =\n[[-7, 3, -4, -9, 9, -7],\n [1, -10, 10, 4, -2, 11],\n [-5, -5, 12, -9, 2, 3],\n [9, -2, -6, 5, -7, 11],\n [-9, -8, 11, -10, -7, 1],\n [-12, 7, 1, -7, -10, 4],\n [9, 1, 6, 11, -6, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "779", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 5) of the product of the following matrices:\nA =\n[[-6, 0, 11, 10, 8, 11, 1],\n [11, -2, -5, -1, 2, -3, 9],\n [-11, 11, 0, -3, 4, 12, 12],\n [9, -3, 9, -7, 7, -12, 4],\n [-12, -8, 2, 10, -12, 4, 1],\n [0, -2, -1, -7, -2, -11, 5]]\nB =\n[[-1, 10, 2, -4, -5, 5],\n [3, 10, 8, -3, -1, 7],\n [-1, -3, 1, -9, 2, 7],\n [-4, -6, -6, 7, -4, 11],\n [-3, 7, 0, -7, -9, 4],\n [8, 1, -10, -12, 5, -11],\n [-5, 3, -9, 6, 7, -3]]\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[[4, 4, 8, -6, -4, -6, 8],\n [-10, 11, -1, 10, -9, 4, -10],\n [-2, -5, -11, 12, 1, -9, 3],\n [1, -6, -3, -1, 10, -5, 10],\n [-2, 7, 0, -1, -6, 8, -1],\n [-3, -6, 6, -6, 10, 5, 11]]\nB =\n[[10, 12, -1, -9, 12, -12, -8],\n [-3, -6, 7, -6, 12, 0, 1],\n [-8, 8, -11, 1, 8, -5, 7],\n [-11, -5, 7, -8, -1, -6, 8],\n [0, 2, -3, -9, 3, -6, 0],\n [-9, -1, 7, -11, -8, -5, -9],\n [-11, 12, -7, -10, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-489", "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, 9, 3, -4, 8, 3],\n [-4, 4, -1, 2, -3, -9],\n [4, 5, 5, -3, -2, 8],\n [-12, -3, -10, -7, 4, -1],\n [-2, 4, -10, -4, 5, -7],\n [-10, -7, -2, -2, -6, 0]]\nB =\n[[0, -6, 1, -11, -10, -9],\n [-5, 8, -12, -4, 4, 5],\n [-6, -10, 9, 3, -5, -8],\n [4, 6, 5, 9, -8, -6],\n [5, 0, 9, -2, -8, 9],\n [2, 8, -6, -8, -6, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2645", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-4, -7, -4, 4, -11, 10, 7],\n [0, 4, 8, 7, -7, 10, 6],\n [-7, -11, 0, 7, -3, -4, 0],\n [-6, 5, 9, 1, -9, -5, -1],\n [-5, 3, -12, 11, -3, -6, 1],\n [4, 6, -8, 6, -10, -12, -5],\n [-4, -8, -12, 4, 12, 1, 4]]\nB =\n[[-4, -10, -10, 0, 7, -8, -7],\n [1, -7, 12, 4, -4, -9, 10],\n [2, 9, 12, 5, 2, 5, -6],\n [2, 12, -8, 10, -2, 11, 1],\n [-5, -9, -3, -6, -12, 7, -1],\n [0, 3, 1, 0, -8, 1, 0],\n [1, -1, 10, 9, 7, 2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "175", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-2, 9, 2, 8, -1, 6],\n [3, -9, 5, -4, 3, -6],\n [6, 11, 11, -2, 4, 8],\n [-8, -1, 6, -11, -12, -9],\n [-2, 5, 8, 3, -3, -1],\n [-11, -12, -3, -3, -3, 12],\n [-11, 7, -10, -12, 11, 5]]\nB =\n[[-2, 11, -1, -12, -7, 3, 7],\n [-10, 4, 3, -2, 3, -1, -12],\n [-2, 10, -7, 6, -1, -11, -3],\n [6, 2, -5, -2, 10, 3, 0],\n [0, 10, -8, -1, -3, 6, 4],\n [-12, 9, 2, 3, 7, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4703", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 4, 9, 10, 4, -11],\n [-4, 12, 9, -9, -6, -8],\n [6, -9, 5, 9, -10, 10],\n [-9, 1, 11, 1, 4, -4],\n [6, -10, 2, 8, -12, 6],\n [-9, 1, 5, -1, -7, -3]]\nB =\n[[-9, 3, -12, -10, -6, -10, 9],\n [2, -7, 3, 4, -11, -3, -2],\n [-7, 5, 2, 3, 0, 3, -11],\n [7, -1, 1, -5, -7, 1, 11],\n [2, 7, -10, -6, 3, 10, -11],\n [4, -2, 11, -10, 9, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "355", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 2) of the product of the following matrices:\nA =\n[[9, 10, 8, 6, 5, -6, 3],\n [11, 1, -5, 0, -10, -11, 0],\n [12, 9, -10, 8, -12, -11, 12],\n [-3, -2, -10, 11, -5, 2, -8],\n [-5, 5, 5, -1, -9, -5, -11],\n [7, 11, -10, -5, -1, -11, 4],\n [1, 1, -7, -5, 12, -3, 11]]\nB =\n[[5, -12, -6, -6, 0, 3],\n [-1, 6, -7, -6, 12, 4],\n [6, -8, -10, 11, 9, 5],\n [4, 8, -2, 12, -4, 4],\n [6, 0, -7, 8, -9, 5],\n [-1, -9, -8, -1, 5, 4],\n [10, 10, 11, -3, -7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-23", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-5, -11, -1, -10, 11, 7],\n [8, 12, 10, -6, -12, 4],\n [-5, -3, 4, 3, -3, 2],\n [3, 5, -9, 12, -6, -1],\n [10, -1, 10, 8, -12, 8],\n [11, -1, 10, -6, 2, -11]]\nB =\n[[-12, -9, -5, 4, 5, 10, -8],\n [-7, -1, 11, 3, -4, 2, -5],\n [-1, 1, 4, 1, 7, -8, 0],\n [12, -7, 1, -7, -10, 3, -1],\n [1, -11, 5, -6, -8, -1, 4],\n [-1, 8, -2, -12, -4, -5, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3893", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[-9, -2, 4, -5, 8, -12],\n [5, -8, 12, -5, -5, -4],\n [5, -6, -3, 8, 3, -10],\n [-3, -5, 5, -9, -1, 8],\n [-8, -9, 6, 6, -8, 2],\n [-1, 0, -7, 4, 7, -3],\n [1, 2, -3, -7, 3, -11]]\nB =\n[[-3, -8, -4, 6, 6, -4],\n [3, 6, 7, 12, -9, -8],\n [5, -5, 0, -4, -3, -9],\n [6, -9, 0, 10, 4, -2],\n [-11, -8, 12, 0, 9, -10],\n [6, 10, 6, 3, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[10, 12, -4, 6, 11, -12, 1],\n [11, -2, 5, 7, -6, -7, -1],\n [12, 11, -11, 0, 7, -12, 10],\n [2, 7, -5, 5, 2, -5, -11],\n [-2, -5, 0, -12, 5, -8, -12],\n [-1, -8, 8, 3, 10, 5, -11]]\nB =\n[[2, 9, -2, -3, -10, 0],\n [0, 11, -10, -3, -9, 1],\n [10, 4, -12, 12, 2, 9],\n [8, -11, 5, -6, 9, 0],\n [11, -10, -10, 0, 8, -9],\n [3, -5, 9, -5, 3, 10],\n [-11, -4, 0, 9, 9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1331", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-11, -4, -12, -7, 11, -11],\n [-10, 2, -6, 0, 3, 0],\n [-1, 4, 8, -2, 9, -6],\n [0, -3, -3, 0, 10, 6],\n [10, 4, 7, -6, 10, -9],\n [4, 11, -9, 5, 7, -5],\n [-5, 8, 3, 2, 5, 10]]\nB =\n[[6, -7, -4, 3, 8, -4],\n [7, 12, 4, -9, 2, -2],\n [1, 4, 0, -4, 11, 3],\n [-5, 1, 2, -6, 12, -2],\n [-10, -6, 9, -8, -4, 7],\n [6, 0, 6, 3, -11, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-454", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 6) when matrix A is multiplied by matrix B?\nA =\n[[-10, 11, -1, -7, -11, 11],\n [3, -8, -1, -9, 1, 4],\n [-1, 0, 4, 7, 2, -4],\n [-3, -7, 4, -1, 11, -4],\n [-11, 3, 3, 9, 10, -12],\n [8, -2, 8, -10, -11, 1],\n [-12, -7, -6, -11, -11, 2]]\nB =\n[[8, -8, 0, 6, 6, 2, -12],\n [-10, 12, 5, 4, 12, 8, -5],\n [-2, 7, -5, 8, -7, -7, -7],\n [-11, -3, -3, -4, 10, -10, -11],\n [-9, -5, -4, -11, 3, -7, -5],\n [-10, -2, 12, 7, -8, -1, 10]]\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 absolute values of all entries of the result:\nA =\n[[-2, -8, 7, 7, 8, -10, -4],\n [5, -1, 10, -9, 11, -6, 11],\n [7, -2, -11, 10, -1, -4, -7],\n [-6, -7, 5, 0, -4, 8, 6],\n [-9, -9, 0, 12, -2, 8, -11],\n [-7, -1, 10, -5, -8, 11, 11]]\nB =\n[[7, 10, -4, -9, -4, -1, -9],\n [4, 7, -11, 9, 0, 2, -5],\n [-7, -4, 9, -2, 10, -1, 8],\n [11, -11, -11, -2, -5, -7, 5],\n [9, -2, 11, -7, -4, 9, 1],\n [6, 12, 8, -7, 7, 6, -3],\n [1, -8, -1, 6, -11, 2, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4192", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-5, 1, -10, -7, -2, -4],\n [4, 6, -11, -5, 12, -3],\n [9, -10, -3, 11, 10, -11],\n [-6, -12, 11, -1, -8, -4],\n [-1, -2, -1, -10, -1, 10],\n [11, -12, -7, -2, -11, -5],\n [9, -2, -1, 6, 7, 10]]\nB =\n[[-4, -2, 5, -4, 2, 9, 5],\n [-5, -9, 0, 2, -5, 3, -2],\n [10, 10, 0, -6, 5, -5, -11],\n [-10, -3, -6, 10, -6, -9, 8],\n [10, -5, 6, 9, -1, 12, -3],\n [1, -1, 8, 7, 12, -9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "817", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 8, -12, -5, -2, -12],\n [12, -12, -9, -9, -2, 12],\n [-12, -3, 12, -9, 10, 12],\n [-6, -11, 9, 0, 9, 6],\n [-9, -7, 9, 4, 11, -4],\n [-11, 7, -7, 5, 10, 9]]\nB =\n[[11, 2, 10, 3, -12, -3],\n [-3, 8, -7, 10, -9, 1],\n [12, 4, -10, -11, 5, 4],\n [0, 6, -3, 8, 9, 11],\n [-9, 4, 3, 12, 6, 11],\n [1, 7, 2, 6, -10, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, 3, -6, 5, -5, 1],\n [5, -12, 11, 7, -7, 0],\n [-12, 6, -6, 10, 11, 3],\n [1, -11, -6, 7, 9, 7],\n [2, 12, 1, -12, 4, 3],\n [-8, 8, 11, 10, -10, 11],\n [7, 6, -11, 12, 1, 10]]\nB =\n[[8, 12, 6, 0, 0, -7],\n [11, -4, 7, -12, 11, -3],\n [-10, -7, 3, 7, -7, -1],\n [-10, 10, 5, 8, -10, -8],\n [6, 12, 11, 5, -5, 11],\n [-3, 6, -3, 8, -11, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5587", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (1, 1) of the result:\nA =\n[[9, 5, -9, -10, 4, 11],\n [11, 4, 9, -1, 4, 0],\n [-4, -12, 2, 6, -4, 4],\n [2, -11, -9, -6, -5, -12],\n [-12, -8, -5, -12, -10, 9],\n [4, -10, -12, -9, -4, 0]]\nB =\n[[-8, 1, 6, 10, 1, 9, 12],\n [-9, -9, -4, -11, -3, 5, 12],\n [-6, 8, 1, 8, 12, 2, -3],\n [-8, 12, -5, 9, 8, -8, -8],\n [1, -12, -8, 6, 9, 12, -1],\n [2, -10, -12, 11, -1, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "43", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[12, -3, 7, 1, 1, 0],\n [8, -10, 11, 6, 7, -3],\n [-1, 10, -11, -12, -9, -5],\n [4, 1, 1, 6, -9, 7],\n [3, 6, 6, 0, -6, 11],\n [1, -3, 1, 7, -2, -2]]\nB =\n[[2, -5, 11, 9, 4, 10, 10],\n [8, -7, 1, -4, -10, -1, -9],\n [12, 2, 0, 5, 1, 0, -4],\n [-8, 6, -5, 0, -4, 4, -8],\n [-4, -2, -11, 0, -12, -5, 2],\n [9, -11, -10, 8, 4, 5, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1853", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -2, 10, 10, 1, -8, -7],\n [6, -2, -11, -3, 0, 12, -11],\n [1, 4, -4, -5, -5, -6, 12],\n [3, 6, 11, 4, -12, 0, 3],\n [-7, 2, -1, 11, -5, -12, -2],\n [2, -12, 12, 3, 12, -6, -12],\n [-11, -5, 11, -2, 0, -8, 5]]\nB =\n[[6, 8, -10, -12, 9, -8, 6],\n [-4, 11, -6, -1, 1, 3, 0],\n [5, -3, 8, 8, -7, 9, -10],\n [-9, -12, -2, 4, -8, -1, 7],\n [10, -6, -9, 3, 2, 1, -11],\n [-3, 7, 11, -11, -8, 0, 10],\n [-3, 9, 0, 1, 12, 5, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6511", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[10, -5, -8, 8, 7, 12, -1],\n [3, 7, 6, 12, -6, 12, -9],\n [6, -3, -5, 3, -9, -3, 6],\n [3, -1, 7, -11, -2, 7, 10],\n [0, -10, 4, -3, -5, -7, 1],\n [6, 11, 9, -12, 12, -2, 12],\n [12, 1, 0, -1, 9, -7, -9]]\nB =\n[[11, -4, -6, -6, 0, -11],\n [-11, 2, 3, -11, 7, 12],\n [-8, -11, 7, -6, -8, -2],\n [-5, 4, 1, -8, -9, -10],\n [-6, -2, -12, 9, 11, 5],\n [9, -12, 3, 0, -7, -7],\n [8, 10, 1, -8, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5162", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, -3, 5, 0, 10],\n [7, -7, 8, -9, 0, 5],\n [0, 0, -6, -8, -10, -7],\n [-5, -1, -11, -2, 7, -10],\n [10, -3, -5, -5, 1, -9],\n [2, -3, 5, 9, 2, 6]]\nB =\n[[11, -10, -11, 0, 0, 12],\n [-4, 12, -10, -11, 1, 3],\n [1, -9, -11, 3, -5, -12],\n [5, 9, -4, -1, -8, 8],\n [-10, -5, 9, 3, 5, -1],\n [-1, 8, -9, -3, -4, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "608", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, -12, -8, 12, -10, -2, 0],\n [9, -2, -7, 9, -9, -6, -10],\n [9, -3, -8, 6, 5, 4, 11],\n [-12, -8, 8, 4, 12, 8, -4],\n [-2, 9, -6, -6, -11, 1, 3],\n [-8, 5, -9, -1, 6, 0, -7]]\nB =\n[[-2, 2, 8, 4, -11, 0, 10],\n [12, -12, -9, 2, 3, -2, -10],\n [-1, -1, -2, 3, 8, 8, 0],\n [-1, -3, -2, 5, -8, 7, 0],\n [4, -1, 4, -12, -5, 3, 2],\n [6, 12, -3, -11, 12, 12, -9],\n [-9, 7, -1, 4, 8, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-178", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 3, 2, 1, 6, -2, 12],\n [0, 10, -5, 10, -4, -11, 7],\n [-11, -5, 5, 11, 9, -6, -2],\n [9, 12, 7, -12, 12, 3, 3],\n [-3, 11, 4, -3, -7, 1, 2],\n [-9, -11, 6, 0, -1, 12, 8],\n [10, 0, 2, -11, -5, -10, -12]]\nB =\n[[11, -2, -4, 11, 4, -6, 10],\n [-9, 0, 11, -8, -1, 7, -8],\n [-2, -11, -9, -3, 11, -6, -1],\n [-5, 10, 10, 10, 3, -11, -10],\n [4, 2, 5, -3, 9, -11, 4],\n [3, 11, 12, -6, 6, 3, -12],\n [-9, 0, -3, -2, 6, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1110", "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, -11, -2, -3, -10, -8],\n [2, -9, 4, -12, -12, -1],\n [-3, -4, -4, 12, 7, 7],\n [1, 10, 6, -3, -10, 7],\n [9, 4, -10, -1, 2, -8],\n [2, 7, 11, 3, -4, -5]]\nB =\n[[-2, -4, 3, 1, 2, 1],\n [11, -3, 0, -12, 10, -4],\n [4, 4, -3, 0, 5, 0],\n [8, 11, 0, 11, -3, 7],\n [-6, -6, -4, 3, 2, 12],\n [-10, 0, -2, -5, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3200", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, -7, -3, 4, 7, -4, 8],\n [1, 7, 0, -12, 12, 11, 6],\n [-4, 4, 2, 7, -8, -9, -9],\n [12, 2, -8, 4, -6, -7, 2],\n [12, 7, 1, -3, -7, -3, 10],\n [7, -4, 0, 1, -12, -12, 6]]\nB =\n[[-4, -8, 4, 3, -1, -8, -7],\n [7, 10, -2, 6, 8, -7, 10],\n [-3, 2, 5, 8, -6, 10, -10],\n [11, 3, 0, 4, -9, 6, -9],\n [12, -1, 11, -9, 11, 4, 11],\n [5, 9, -7, 6, -8, -11, -2],\n [11, 11, 0, -8, 10, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-536", "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, 5, 2, -8, 10, -1],\n [-9, -9, 7, -4, -4, 1],\n [11, -5, 10, -12, 11, -2],\n [-9, 4, 4, 6, 0, 6],\n [4, 11, 7, -1, 7, 1],\n [9, -4, 12, -1, 11, 4]]\nB =\n[[3, -1, -3, -11, -10, -8],\n [3, 8, 0, 11, 5, -11],\n [11, -12, -4, 5, -8, -10],\n [-8, -1, -5, -5, 9, 12],\n [-6, -11, -12, 11, -12, -5],\n [12, 4, 10, -8, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4897", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, 5, 10, -6, 11, 1],\n [12, 1, -7, -10, 8, 1],\n [1, -10, -3, -4, 8, -6],\n [-6, -6, -1, -9, 7, 0],\n [-10, 7, -4, 8, 9, 7],\n [0, -12, 10, 10, -7, 7],\n [11, -5, 4, 12, 11, 5]]\nB =\n[[12, -9, -1, 9, 3, 5, -3],\n [-9, -11, 12, 2, -4, 2, -8],\n [6, -10, 4, 0, 11, -10, -9],\n [5, 11, -10, 1, 3, -1, -2],\n [-11, -12, 0, 5, 5, 0, -9],\n [-12, 2, 4, -7, -8, -12, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-888", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[3, 1, 11, -8, -10, -10],\n [-1, 5, -4, 12, 10, 4],\n [4, 7, 5, -10, 5, 2],\n [-12, -10, -6, -3, -4, -4],\n [-5, -7, -12, 3, 11, 11],\n [12, -3, -2, -1, 9, -10]]\nB =\n[[-7, -5, 10, 0, 11, 6],\n [-5, 8, 10, 0, -9, -10],\n [9, 12, 7, 12, -10, 9],\n [-1, -8, 12, -7, 5, 7],\n [1, -8, -2, -4, 4, -1],\n [12, -12, -12, -9, 9, 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[[4, -1, 7, 11, 9, -1],\n [-8, -12, 6, -6, 2, 1],\n [-10, -8, -7, 12, -2, 6],\n [9, -11, 12, -1, 12, 10],\n [1, -4, 7, 3, 4, 4],\n [-11, -3, -2, -10, -11, -9]]\nB =\n[[-5, 6, 7, 5, -12, 11],\n [10, -11, -5, -3, 6, -6],\n [4, -10, 12, 2, -9, 4],\n [-2, -7, 4, -3, -12, 5],\n [1, 6, 5, 11, 9, -12],\n [9, -12, -4, 1, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "198", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 2) of the product matrix AB given:\nA =\n[[4, 4, -11, -7, -12, 10, -1],\n [-9, 10, 3, 7, -2, 7, 7],\n [-3, -5, -11, -5, -12, 10, -6],\n [9, 1, -9, 8, 4, -11, 10],\n [-11, -5, -6, -5, 7, 4, 10],\n [4, -6, 12, -8, 2, -11, -2]]\nB =\n[[4, 11, 0, -9, 11, 5],\n [1, 6, -10, -9, 12, -4],\n [8, 10, 1, 12, 4, -11],\n [1, 9, 3, 6, 3, -2],\n [1, -6, -8, -5, 4, 12],\n [1, -3, 9, -1, -8, -5],\n [-1, -9, 0, 12, 8, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-54", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[11, 12, 8, -8, -7, -4, -8],\n [-11, -10, -2, -3, -10, -4, -5],\n [3, 9, 8, -11, 12, -3, 11],\n [1, -8, 9, 12, -12, 0, -9],\n [8, -4, 3, 8, 8, 6, 11],\n [1, 10, 11, 7, -5, -3, 7],\n [-12, 7, -8, 2, -5, -3, -7]]\nB =\n[[2, 2, -3, 8, 6, -9],\n [9, -7, 2, -7, 5, -2],\n [-1, -5, 11, 9, 1, -9],\n [5, -7, -7, 6, -11, -9],\n [11, -8, 2, -10, 3, 0],\n [-1, 8, -4, -2, -5, -6],\n [-9, -11, 12, 6, 9, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "167", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 4) when matrix A is multiplied by matrix B?\nA =\n[[-1, -10, 6, -10, 6, 6],\n [-6, 1, 8, -9, -7, 1],\n [-5, 5, 2, 6, 5, 2],\n [10, -1, 5, -8, 2, -4],\n [-5, -5, -10, 0, 0, -1],\n [2, 1, -12, -11, 10, -9],\n [0, -3, 8, 0, -12, -2]]\nB =\n[[5, -4, -7, 10, 0, -8],\n [12, -3, -8, 9, -3, 12],\n [-8, 7, 8, -2, -8, -8],\n [4, 8, -8, -12, 0, -9],\n [-5, 7, 10, -7, 2, 2],\n [8, 3, -4, 11, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "119", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 2) of the result:\nA =\n[[3, 12, -6, -10, -3, 3],\n [8, -1, -4, 3, -4, 11],\n [9, 10, -6, -2, 4, 11],\n [9, 10, -3, 2, -3, -11],\n [3, -6, 11, 8, 2, 4],\n [9, 0, 6, 8, 12, 10],\n [-5, 9, -4, 6, 4, -3]]\nB =\n[[1, -1, 7, 11, 9, -6, -4],\n [5, -6, -9, 10, -5, 5, 2],\n [-6, -5, -12, -2, -3, -8, 12],\n [-11, 9, -11, 6, 3, -2, 1],\n [9, -8, -9, 10, 6, -3, 10],\n [-4, 5, -8, 4, 10, 5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-67", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 1, 1, 1, -12, -9],\n [10, -6, 11, -1, 0, 12],\n [2, 7, -11, 1, -1, 0],\n [1, -10, 12, 0, -5, 3],\n [-7, -2, 2, 6, 11, -11],\n [-2, 7, 7, -4, 11, 10],\n [-9, 10, 4, 11, -5, 12]]\nB =\n[[12, 3, -12, -3, -6, 2],\n [-12, 9, 3, 8, -11, -10],\n [2, 11, 5, 2, -9, -10],\n [-6, 11, 7, 9, 6, 10],\n [-5, -6, -9, -3, 12, -3],\n [2, 11, 9, 5, -3, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4767", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-4, 12, 12, -4, 9, 3],\n [4, 3, -7, -8, -6, 0],\n [-5, -12, -3, 7, 7, -12],\n [7, 10, 1, 2, -7, 7],\n [-11, -6, 11, 12, 12, 7],\n [6, -8, 9, -5, -10, 0],\n [-7, 8, 10, 1, 12, -6]]\nB =\n[[-2, 9, -4, -3, 7, 4, -5],\n [9, -7, 8, -2, -10, -7, 4],\n [-6, -7, 8, 0, 1, 6, -5],\n [0, 7, -4, 12, -8, -2, -6],\n [-7, -1, -1, -7, -9, 0, -1],\n [2, -5, 0, -2, -2, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4382", "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, 4, -12, 0, 12, 7, -4],\n [10, 11, -2, -4, 4, -6, -5],\n [-11, 1, -3, -4, -12, -1, 1],\n [6, -2, -4, 4, 7, -7, -7],\n [7, -3, -3, 4, 8, 1, -8],\n [-10, -2, 6, 7, 6, 1, 2],\n [-10, -10, 10, -4, -2, 2, 4]]\nB =\n[[11, -1, 4, -4, 0, -5, 9],\n [-7, 10, 11, -6, -12, -3, 2],\n [1, -9, -9, -4, 2, -1, -4],\n [-10, 2, 12, 8, -2, -7, 2],\n [-6, 6, 1, -9, 8, -12, 11],\n [10, 0, -2, 5, 10, -4, 8],\n [-2, -7, 3, -8, -12, 9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5616", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[10, 8, 6, -7, -1, -6],\n [-3, -3, 12, 0, -6, 6],\n [-12, 2, 1, 0, -6, -1],\n [-5, 2, 4, 8, -1, 0],\n [-5, -3, -6, -11, 3, -9],\n [-7, -6, 10, 6, 11, 10]]\nB =\n[[-9, -3, -9, 7, -8, 1, -2],\n [-11, -4, 9, -1, 11, -12, 9],\n [2, -7, 11, 4, 8, 2, 1],\n [6, 9, -4, -10, 12, 12, 2],\n [4, -11, -9, 1, -2, -1, 10],\n [3, -1, -11, -6, 8, 10, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "965", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[12, -10, -10, 0, -6, -8],\n [8, -8, 12, 7, 9, -7],\n [0, -6, -11, 9, -4, 6],\n [-11, 0, -5, 3, -12, -2],\n [-5, 8, 12, 12, 7, -12],\n [8, -6, 12, 12, -4, 9],\n [-11, 8, 6, -7, -8, 0]]\nB =\n[[-3, -12, 5, 8, 1, -1],\n [-7, 1, 4, -6, -10, 4],\n [10, 10, -3, -10, 3, -7],\n [-9, 7, -4, -6, 3, -7],\n [-1, 12, -10, -1, 7, 1],\n [1, -4, -9, 10, 12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-716", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 5) of the product matrix AB given:\nA =\n[[12, 2, -6, 7, 6, -7],\n [6, -6, -12, -6, -10, 12],\n [-7, 10, 12, -7, -2, -11],\n [-7, 9, 5, 10, 1, -1],\n [-4, 0, 7, 8, 9, -12],\n [-5, -4, 4, 0, -9, -7],\n [0, 4, 6, 10, 11, -5]]\nB =\n[[8, 4, 4, 11, 8, 2],\n [12, -12, -11, 7, -3, 3],\n [10, -9, -5, 3, -6, -8],\n [10, -5, -10, -10, 5, -9],\n [-9, 2, 2, -9, -11, 10],\n [-10, -3, -12, 5, -8, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-37", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[7, -7, 6, -4, 5, 11, 2],\n [2, 1, -10, -5, 6, -2, -9],\n [2, 11, -3, 7, -2, 12, -4],\n [9, 4, -4, 12, 10, -4, 11],\n [12, -4, 10, 9, -11, 0, 10],\n [-12, -7, -7, 3, -1, 2, -6]]\nB =\n[[-11, -1, 7, -11, -9, -10, -11],\n [5, -10, -3, -1, -9, 10, 7],\n [-6, 7, 6, -5, -10, 2, -5],\n [5, 1, 6, -9, -10, 9, -4],\n [-3, -5, 7, -11, -12, -9, 3],\n [-8, 5, 1, 0, 3, 2, 6],\n [-9, 6, 11, 0, -2, 5, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-821", "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, -12, 2, 11, -3, 9],\n [-9, -7, -11, 4, -1, 9, 11],\n [-8, 11, 6, -7, 4, 6, 7],\n [8, -10, -5, -8, 10, -8, 11],\n [4, 6, 6, -3, -10, 9, 12],\n [0, 3, -1, 9, 8, 4, -11]]\nB =\n[[3, -2, -12, -1, -7, 6],\n [-8, 9, 8, -10, 5, 5],\n [-1, 5, -3, -9, 7, 6],\n [11, -9, 11, -2, -10, 2],\n [3, -1, 5, 11, -7, 2],\n [-11, 10, -1, -3, 10, -9],\n [-5, 2, 6, 3, 0, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5053", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, 1, 2, -1, -2, 8],\n [-10, 12, 1, -11, 5, -10],\n [-4, -2, -10, -8, -4, -3],\n [-7, -7, -2, 4, -11, -4],\n [11, 5, -8, 8, -7, -9],\n [-4, -8, -9, -4, 5, -2]]\nB =\n[[3, -11, 3, 6, -3, -9],\n [-1, -4, 0, -8, -11, -10],\n [-5, -7, -8, -9, 7, 3],\n [-5, -1, 9, -8, -8, 9],\n [0, -2, -2, 6, -6, 4],\n [-8, -7, 5, 5, -4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[6, 4, -4, -12, 7, 10],\n [5, 11, 0, -5, 1, -10],\n [-9, -2, -6, 8, -8, -11],\n [-7, 7, -8, 2, -2, -8],\n [5, -5, -2, 4, 1, -11],\n [-6, 10, 5, -12, 2, -12]]\nB =\n[[4, 9, -6, 3, -11, 2],\n [9, 7, 12, -2, 11, 11],\n [-11, -2, 8, 3, -11, 6],\n [3, -5, 8, 7, -8, -5],\n [1, 1, 10, 9, 5, -8],\n [-3, 2, 0, -4, 12, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2991", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[6, 12, -4, -8, -7, 10],\n [-3, -3, -7, 8, -12, 7],\n [0, -5, 11, 0, -7, 6],\n [-1, 2, -5, 10, -2, -4],\n [6, -2, -7, 2, 4, -1],\n [11, -11, 8, 9, -9, 12]]\nB =\n[[-10, -11, 6, -8, 4, 3, 3],\n [-1, -9, 4, 12, 6, -11, -8],\n [-12, 1, 10, -4, 4, -1, 11],\n [11, 10, 7, -1, 2, 3, 10],\n [5, 9, 1, -1, -2, 2, 8],\n [8, -5, 4, -5, -9, -3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-588", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-7, 4, -5, 0, 2, -9, 12],\n [2, 10, 1, -2, 7, 4, 12],\n [-3, -7, -7, -12, -8, -9, -2],\n [4, -6, 7, -10, -11, -5, -8],\n [12, -8, -3, -1, 4, 1, -8],\n [-8, 11, -7, 2, -8, -5, -12],\n [8, -10, 8, 6, 2, -9, 12]]\nB =\n[[-11, 4, -1, 7, -5, -8],\n [12, -3, 6, -4, 3, -12],\n [2, -11, 12, 1, 12, 8],\n [3, -3, -1, 0, 7, -4],\n [-11, 6, 2, 2, 11, -12],\n [5, 8, -6, -3, -4, 6],\n [-2, -9, -12, -1, -12, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-662", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[7, -4, -5, -9, -5, 10, 9],\n [-3, 5, 2, 6, 7, 10, 11],\n [-2, 11, -9, -4, -5, 3, 0],\n [-8, 0, 6, -11, -1, -4, -12],\n [10, 1, -6, 4, 10, 1, 4],\n [-11, -4, 2, 11, 3, -4, 12],\n [-9, 2, 8, -3, -6, -7, 2]]\nB =\n[[12, -11, 11, 2, 5, 1, 5],\n [-10, 7, 9, 1, -7, 1, -11],\n [9, 3, 11, 3, 8, 4, 3],\n [3, -5, -7, 5, 10, 1, 3],\n [-5, 5, 1, 4, 9, 9, -5],\n [3, 10, 11, -3, -3, 8, 5],\n [8, 5, -4, 8, -12, 12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4843", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (6, 3) of the product of the following matrices:\nA =\n[[-3, 2, -8, 4, -4, 12, 12],\n [-7, -11, 0, 10, 5, 7, -9],\n [-3, 10, 9, -2, 0, 10, 9],\n [4, -2, -9, 1, -10, 10, 10],\n [-1, -9, 3, -6, 7, 12, 6],\n [5, 8, -4, -2, 6, 4, 12]]\nB =\n[[8, 5, -7, -10, 1, -4],\n [-10, -11, 6, -7, -10, 12],\n [12, -4, 5, -6, -11, -12],\n [-8, 11, -10, -6, -7, -12],\n [10, 6, 7, 1, -3, -11],\n [-2, 3, 4, -8, 9, 5],\n [3, -3, -7, 9, 11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-13", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, 10, -9, -8, -7, 2, -7],\n [6, 12, 7, -5, 0, -9, 9],\n [4, 1, 5, 2, 9, 6, -2],\n [-6, -12, -10, 6, -12, -9, 11],\n [-2, -6, -6, 1, 2, -8, 1],\n [0, 7, 9, 5, -12, 0, 10],\n [7, -6, -7, -4, -3, 9, -10]]\nB =\n[[-6, 12, -2, -1, -1, 0, 9],\n [10, -5, -9, 8, 7, -12, -7],\n [10, -11, 9, 1, 5, -3, 8],\n [-12, -10, 7, -9, 5, -5, 9],\n [-4, 9, 6, -11, -4, -10, 9],\n [-11, -6, 4, 12, 4, -4, -12],\n [-12, -5, 4, -5, 6, -9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-150", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 7) when matrix A is multiplied by matrix B?\nA =\n[[0, 9, -6, -10, 1, -4],\n [-10, -6, 2, -9, -8, -4],\n [-10, 3, 3, 6, 12, -4],\n [7, -12, 4, -1, -4, 9],\n [-8, 2, 0, 6, -10, -11],\n [0, -6, -4, 9, -3, -12],\n [9, 3, -2, 11, -5, 0]]\nB =\n[[3, -10, 0, 4, 8, -7, -3],\n [-4, 5, 4, -6, -11, -2, 5],\n [-10, 1, 7, 0, 10, 4, 9],\n [-2, -6, -10, -10, -11, 8, 3],\n [10, -2, 1, -10, -6, -5, 0],\n [6, -2, -12, 6, 0, 9, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 6, 6, 10, 10, -7, -6],\n [-8, -5, 1, 5, 8, 12, 7],\n [11, -10, 9, -5, 1, 12, 1],\n [-6, -7, -7, -1, 9, 2, 12],\n [6, -9, -10, 0, 12, 3, 0],\n [8, -3, 0, -5, -1, -5, -4],\n [-3, -6, -10, -8, -10, 5, 6]]\nB =\n[[-3, -4, 12, 11, -6, -12],\n [12, -3, -11, -7, 8, -7],\n [11, -5, 5, -6, 5, -12],\n [11, 12, 1, 10, 7, -6],\n [7, -6, -9, 12, -8, 10],\n [11, 8, -12, 7, -10, 0],\n [-6, -7, -7, -11, 3, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-152", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 2) of the product of the following matrices:\nA =\n[[-5, 8, 12, -2, 5, 10],\n [-7, 1, 2, -2, 2, 0],\n [-7, -9, 1, 0, -3, 12],\n [9, -1, 11, -5, 7, -8],\n [-11, 7, -1, -7, 2, 5],\n [5, -3, -6, -3, -8, 3]]\nB =\n[[6, -10, -6, 6, -1, -3],\n [-8, -11, -10, 1, 2, 7],\n [0, 4, 7, -9, 6, 2],\n [2, -4, -10, -11, -6, -4],\n [9, -8, 4, -10, -4, -5],\n [-4, 11, 4, 11, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[1, 9, 3, 5, 4, 11, -6],\n [7, 2, -6, -11, -11, -6, 6],\n [-7, -1, 2, 0, -6, -6, 2],\n [-9, -10, -12, -6, -4, -12, -8],\n [2, -9, -3, -11, 10, -6, 11],\n [6, -7, 2, 7, -1, -2, -10]]\nB =\n[[7, 4, -6, 10, 10, 5],\n [4, 3, 12, -11, -8, 8],\n [0, -2, 11, -12, 10, -10],\n [5, 8, -9, -4, -2, 4],\n [-2, -10, 6, 7, 10, 8],\n [-2, 1, -7, 6, 8, 2],\n [-2, 5, -9, 6, -10, -1]]\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[[-9, 11, -1, 11, -12, 3],\n [8, -11, 9, -10, 3, -3],\n [-4, 1, 12, -5, -11, -2],\n [-11, 2, 5, -8, 12, -6],\n [10, 6, 6, 3, 6, 4],\n [0, -5, -2, 5, -2, 10],\n [-4, 1, -11, 4, 8, 3]]\nB =\n[[-8, -12, -4, -10, 1, 5, -1],\n [10, 1, 3, -8, 7, 7, 2],\n [-4, 12, 4, -1, 0, -3, -6],\n [11, 8, -6, -5, 11, 2, 12],\n [8, 5, 9, -12, -3, 9, 6],\n [-10, -6, -9, -8, -7, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4898", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[1, 9, -11, -10, -12, -10],\n [11, 2, 3, 7, -11, 7],\n [3, 2, -6, 12, -8, -8],\n [8, -4, 10, 1, 6, 5],\n [-4, -10, -2, 11, 2, -9],\n [8, 11, -8, 5, 9, 10]]\nB =\n[[-1, -12, 12, 9, 7, -11, -4],\n [9, 12, 5, -8, 9, 1, -2],\n [8, 9, -10, -4, -11, 1, -11],\n [8, -3, 6, -11, 3, -7, -1],\n [9, -6, -9, -5, 6, -3, -12],\n [-8, -7, 6, 5, 6, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-12, 7, -2, -10, -3, -6],\n [4, 11, 3, -6, 0, -1],\n [-1, -5, -5, 0, -2, 12],\n [-12, 12, 4, 6, 0, 10],\n [2, 11, -1, 8, 4, -10],\n [-6, -11, -11, 12, -7, -9]]\nB =\n[[3, 2, -3, 1, -4, 2],\n [-6, -6, -5, 6, 5, 4],\n [5, 6, 8, -5, 0, -2],\n [6, -6, -8, -8, -5, -3],\n [-8, 2, 10, 3, -3, 11],\n [-5, 6, -9, 1, -5, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-416", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (2, 5) of the product matrix AB given:\nA =\n[[1, -1, -12, 10, 6, 5],\n [-1, -3, 8, -12, 1, -4],\n [2, 8, 9, 10, 1, -4],\n [-2, -8, -1, 3, 7, -10],\n [-8, 6, -8, 11, 5, -9],\n [11, 2, -8, -5, 3, 9]]\nB =\n[[-12, -8, 5, 3, 10, -3],\n [-9, 5, 4, 8, 0, -5],\n [-5, -1, 5, -7, -6, 4],\n [-8, 9, 10, 12, 6, -5],\n [6, 12, -5, 12, 8, 12],\n [6, -6, -10, -7, -5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-102", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[2, 11, 4, -9, -6, 4, 9],\n [-7, 0, -6, -4, 10, 6, 7],\n [0, 2, 4, -8, 10, 6, -7],\n [-1, 2, 2, -10, -9, -8, -7],\n [-7, 4, -5, 6, 7, 11, 8],\n [9, 0, 2, 4, 11, 8, 4]]\nB =\n[[10, -11, 9, -10, 9, -4],\n [-7, -12, 9, 6, -9, 0],\n [7, 12, -5, 10, -8, -3],\n [7, 6, -1, -12, -4, 11],\n [3, 4, 5, 1, 4, -12],\n [12, 8, 2, 6, -11, 11],\n [11, 1, 9, -11, 2, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "50", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -12, -1, 9, 2, 5, 2],\n [-6, -1, -3, -11, -11, -7, 7],\n [-7, 11, -3, -10, 3, -8, -8],\n [-3, 12, 10, 0, 12, 11, -10],\n [5, 6, -7, 7, -12, -3, -3],\n [12, 9, -12, 6, -2, 0, 4],\n [12, 7, 5, -9, 2, -11, -7]]\nB =\n[[9, 10, -4, -2, 12, 7],\n [3, 12, -5, 4, 10, 10],\n [-9, -6, -2, -2, -2, 8],\n [8, 2, -8, -7, 10, -8],\n [-4, -2, 12, 10, -10, 7],\n [-9, 10, 2, 5, -8, -2],\n [-2, -9, 3, -2, 12, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2057", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 6, -7, 7, 6, -7],\n [0, -2, 6, -6, -1, 3],\n [-12, 12, 2, 0, -3, 5],\n [-9, 9, -7, -5, 11, 7],\n [9, -4, 10, -5, 11, 5],\n [-6, 6, 10, 5, -12, -2]]\nB =\n[[-4, -3, -3, -12, 4, -1, -1],\n [6, 4, -6, 10, -2, 11, -11],\n [3, 10, -4, -3, 8, -3, -10],\n [12, 4, 1, 6, 5, 5, 1],\n [-10, -3, 10, 0, 9, -1, -4],\n [-3, 6, 3, 8, 12, -10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "739", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 12, 2, -2, 10, 0],\n [-7, 0, -2, -7, -7, -8],\n [-6, 10, 10, 6, -2, -7],\n [12, -4, 7, 12, 5, -5],\n [5, -8, -7, -11, 12, 9],\n [11, -9, 6, -9, 3, -12],\n [3, -12, 11, 4, -8, 3]]\nB =\n[[12, -10, -3, 5, 8, 5],\n [4, -2, -4, -2, -4, 4],\n [7, -8, -1, 5, 12, 12],\n [3, -4, -5, -7, 4, 1],\n [8, 11, 1, -9, -5, 9],\n [4, -12, -10, 4, 7, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4127", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-6, -2, 12, 2, -6, -8],\n [4, -8, -12, 9, 11, -6],\n [4, -5, -1, 12, -11, 4],\n [9, 7, 1, 10, -10, 6],\n [1, -5, -6, -8, -10, -12],\n [6, 2, 12, -12, -8, 7]]\nB =\n[[-2, 1, 9, 5, 7, -4],\n [2, -2, -8, 2, 11, -11],\n [-1, 12, 10, -6, -11, -5],\n [-4, -8, 2, 6, 6, 0],\n [0, -7, -12, -3, 12, -7],\n [12, -10, 0, 6, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-84", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-6, 2, 10, -9, -2, -5],\n [-11, -12, -12, 3, 5, -2],\n [9, -5, 6, -1, -7, 11],\n [12, 3, -5, -6, 7, -10],\n [10, -12, 10, -7, -10, 6],\n [-11, 4, 3, 8, -6, 10]]\nB =\n[[-7, -2, 2, 9, -2, -6],\n [2, 3, -5, -8, 4, 10],\n [-11, 8, -6, 10, 12, 8],\n [-7, -1, 3, -2, 9, 4],\n [-3, 10, 3, 3, 2, 2],\n [10, 7, -9, 9, -10, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3373", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, -7, -2, -9, -3, 3],\n [11, 8, -5, -4, -9, 4],\n [-3, 10, 0, 10, 8, 8],\n [4, 6, 4, 10, 8, -9],\n [10, 12, -7, 1, -4, -7],\n [-3, 12, -7, -4, 0, 3]]\nB =\n[[3, 6, -8, -2, 8, 2, -5],\n [2, -2, 0, 10, -11, -11, 10],\n [-1, 7, 9, -4, 7, 2, -6],\n [12, 1, 4, -11, -4, 0, -8],\n [-9, 10, 8, -12, -4, 11, 3],\n [6, -10, -10, -6, 5, 12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-272", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 11, 3, 8, 11, -9, 0],\n [-3, -11, 6, 1, -7, 0, 9],\n [-1, -1, 10, -1, -2, 1, -9],\n [0, -5, 11, 10, -10, 1, 6],\n [5, -2, 0, 10, -7, 10, 5],\n [7, -12, -11, -6, -8, 6, -11],\n [-10, 7, -3, -3, 8, -5, -4]]\nB =\n[[-11, -10, 3, -9, 10, -7, 0],\n [-7, -3, 10, 4, -5, -4, -11],\n [4, 7, -2, 5, 9, -10, -4],\n [-5, -6, -6, 10, 8, -5, 7],\n [-8, -10, 6, -11, 1, 8, -11],\n [-3, 7, -3, 4, -11, -12, 5],\n [-9, -12, 9, 4, -10, -11, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1020", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 7) of the result:\nA =\n[[-9, 12, -10, -1, 9, 3, -2],\n [-3, 6, -3, 8, 12, -10, 11],\n [-7, 1, -1, -5, -11, -4, 1],\n [-12, -10, 7, -7, 7, 0, -2],\n [2, 5, 6, 6, -7, 2, 8],\n [1, -8, -2, 7, 0, 0, -9]]\nB =\n[[-4, 10, 0, -5, 7, -2, 6],\n [-12, -4, 12, -11, -9, -9, -12],\n [5, 1, 0, -5, -7, 4, 10],\n [-2, 2, -6, 9, -5, -2, 8],\n [-11, 7, -2, 1, 11, 0, -5],\n [-1, 8, 9, -4, -3, -2, -2],\n [3, 5, 8, -4, -10, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "19", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[7, 6, -3, 0, -12, -1],\n [-2, 11, -8, -11, 4, 4],\n [7, 2, -9, 9, -2, 10],\n [-12, -3, 5, 2, 6, 12],\n [-9, -7, -11, 0, -11, 0],\n [2, 5, -2, -8, 12, 1],\n [9, 3, 1, -4, -7, -4]]\nB =\n[[-8, -2, -1, 4, -7, 7, 12],\n [-7, 2, 4, 9, -10, 6, 10],\n [-11, -4, -4, -6, 12, 3, -7],\n [-4, 0, -11, 1, -8, -2, 2],\n [-7, -7, 3, 7, -9, -8, -7],\n [0, 1, 11, 0, -3, 4, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4461", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 1) of the result:\nA =\n[[5, -6, -9, 11, 9, 8, 3],\n [-3, 8, 7, 6, -10, 6, 10],\n [11, 0, -5, 5, 6, 5, 9],\n [6, 9, -9, 0, -1, 2, 2],\n [-3, 9, 6, 8, -5, 6, 12],\n [-4, -6, -5, -4, 4, 2, 3]]\nB =\n[[-6, -3, 6, -7, 12, -1, 2],\n [-3, 11, 5, -9, -2, -8, 0],\n [-3, 9, -6, -2, -9, -9, -8],\n [12, -4, -12, 3, -8, -8, -6],\n [-5, 6, -12, 5, 9, -2, 9],\n [3, 8, -2, 8, -4, -6, 9],\n [2, -2, 10, 6, -6, 3, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "133", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -5, -3, -4, -10, -6],\n [-5, -10, 3, 9, 1, -6],\n [-9, -7, -6, -1, -6, -12],\n [5, -2, -2, 4, 12, -1],\n [10, 10, 6, 8, 5, 8],\n [11, 0, -3, 6, -9, 11]]\nB =\n[[2, 5, -12, 6, -11, -3, 5],\n [-9, 9, -3, 8, -9, 11, 8],\n [5, 7, 10, -9, 2, 9, 5],\n [-4, 7, 4, -10, 0, -6, 1],\n [12, -7, 1, 1, 1, 7, 5],\n [-4, -1, 1, 11, 10, 3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-845", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 5, 11, -4, 12, -5, -12],\n [-8, -6, -3, 9, -2, -1, -12],\n [-7, -9, -10, -9, 11, -7, 12],\n [-8, -4, -9, 1, 2, -9, 9],\n [1, -3, -6, 5, 7, 2, -5],\n [-4, -8, -7, -1, -6, -6, 2],\n [6, 0, 5, -3, -5, 12, -2]]\nB =\n[[-5, -5, 2, -11, 7, 9],\n [11, 0, 5, -1, -5, 4],\n [-7, 3, 11, 11, 10, 10],\n [1, -3, 12, -11, 0, -12],\n [5, 1, -10, 2, -4, 0],\n [10, -8, -8, 9, -11, -12],\n [4, 6, 4, -4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-901", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[0, 8, 12, 8, 4, 10, -6],\n [-9, -10, -12, -6, -8, 4, 4],\n [2, -10, -10, -11, -5, 0, 11],\n [-7, -8, 0, 9, -12, 5, -6],\n [4, -5, 6, 3, 1, 7, 10],\n [-3, 10, -11, 8, 11, 3, 12],\n [0, -8, 5, 7, -2, -8, 9]]\nB =\n[[9, 0, -12, -7, -2, -3, -12],\n [3, 0, 8, 3, 2, -6, 1],\n [11, -2, 0, -8, 5, -10, -1],\n [-6, 7, 2, -12, 6, -3, 1],\n [2, -11, 12, 4, 12, -3, -8],\n [-7, -7, -7, 12, 1, 0, 0],\n [12, -3, 3, -6, -10, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-89", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 12, -5, 9, -8, -11, 6],\n [-2, -2, -10, 0, 7, 6, 10],\n [2, -7, 0, 11, 5, 5, -12],\n [8, 10, 12, 8, -2, 3, -12],\n [6, -5, 6, 10, 3, -10, -11],\n [-1, -3, 9, -11, 8, -8, -8]]\nB =\n[[-7, -10, -3, -8, 11, 7, -8],\n [2, 4, 4, 11, 5, -3, 10],\n [-6, -2, 1, -4, 4, -11, 4],\n [4, 7, 11, -3, 11, -1, -1],\n [2, -4, 5, 3, -6, 1, -9],\n [-10, -1, 3, -9, -9, -10, -4],\n [11, 1, -1, -3, 1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "970", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (7, 6) of the product matrix AB given:\nA =\n[[-11, 6, 0, -3, 10, 8, -12],\n [-12, -5, -7, 7, -10, 0, 12],\n [12, -1, 7, 3, -2, 11, -9],\n [-5, -6, 3, -1, -7, 10, -7],\n [-2, -1, 3, 9, 3, 10, 3],\n [-9, -1, -8, -4, 5, -4, 3],\n [8, -12, 10, -8, 6, -10, -12]]\nB =\n[[10, 1, 5, -5, 1, 7, 7],\n [0, 8, 3, -4, -6, -10, 7],\n [12, -12, 11, -5, 1, 0, -6],\n [0, 9, -6, 7, 7, -8, -9],\n [-9, 12, -7, 1, -10, -10, 11],\n [-10, -9, 9, -4, 9, 3, 6],\n [3, -1, -7, 7, 8, 8, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "54", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, -8, -6, 12, -8, -4],\n [2, 8, 7, -7, -5, 7],\n [-8, 4, -3, -12, 3, 11],\n [10, 8, 12, -12, -10, -7],\n [4, 9, -11, -8, -2, -3],\n [2, 5, 4, 1, 0, 7]]\nB =\n[[-11, 12, -1, -2, 6, -1],\n [12, -9, -3, -1, -6, 10],\n [-7, -5, -2, -7, 12, 8],\n [-10, 8, 7, 6, -12, 11],\n [-9, 6, 7, 4, 9, 6],\n [11, 1, -3, 8, -4, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4338", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[3, 2, 3, 5, 8, 10],\n [10, -3, -10, -6, -6, 7],\n [-2, 10, 11, -10, 5, 12],\n [-1, 10, 4, -4, -8, 5],\n [10, -4, 0, -10, -9, 12],\n [5, 7, 8, 2, 7, 10]]\nB =\n[[-7, -4, -2, 0, -9, 2, 12],\n [4, -1, -7, -6, 12, 4, -2],\n [-1, 0, -12, 5, 9, 6, -2],\n [9, 5, -3, -7, 10, 9, -11],\n [-8, -3, 2, 1, -7, 1, 11],\n [12, 8, 1, -1, 10, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-55", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 4, 6, 3, 5, -7, -4],\n [6, -1, -2, 3, -11, 5, -7],\n [9, -8, -4, 0, -6, 10, -12],\n [-3, 5, -1, -10, -8, 1, 2],\n [-1, -9, 11, 3, -2, -9, -7],\n [12, 3, -11, 0, -5, -1, 8]]\nB =\n[[-7, -10, 2, -5, -11, 3],\n [0, -12, -2, -12, -5, -11],\n [0, 8, -11, -9, 12, -11],\n [0, -9, 8, 2, 8, -1],\n [-1, -8, -3, -11, -5, -8],\n [9, -5, 11, 0, 0, 10],\n [2, 2, 11, -2, 10, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-66", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-7, -8, -8, -5, -12, -11, 4],\n [-6, 12, 10, -4, -9, -6, -3],\n [3, -3, -6, -11, -11, -5, 1],\n [5, -12, 4, 4, 9, -8, 3],\n [-6, 2, 6, 8, -11, 3, 12],\n [-4, 7, 5, -3, 11, 7, 8],\n [-9, -11, 1, 9, -12, -5, -2]]\nB =\n[[-12, -8, 12, 0, 4, -3],\n [10, -6, 0, 8, -9, 12],\n [8, 0, -12, 12, -2, 8],\n [-4, 0, -2, -5, -6, 9],\n [12, 7, 2, 2, 8, -1],\n [4, 10, -7, 0, 3, 10],\n [-12, 0, -6, 0, -6, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-2060", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[5, 4, 3, 4, -5, -6, 12],\n [5, -9, 11, 9, -11, 3, 5],\n [10, 12, -5, 1, 5, 6, 11],\n [-9, 9, 1, -11, 4, -7, -5],\n [3, 8, -12, 5, -10, 5, 12],\n [-3, -11, 6, 12, -2, 6, 11]]\nB =\n[[11, -10, -3, 3, -10, 11],\n [6, 7, 8, -6, 4, -5],\n [-10, -6, -3, 6, 12, 2],\n [2, -8, -10, -10, -9, 2],\n [3, -8, 8, -5, -3, 9],\n [8, -11, 1, -8, -6, -2],\n [-10, -1, 1, 10, -12, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-792", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[3, 2, -12, 10, 9, 0, 2],\n [4, -4, -8, 10, -1, 4, -2],\n [-2, 11, -5, 2, 12, -11, 9],\n [-3, 8, 9, 1, -8, 4, 5],\n [6, -6, 12, 5, -1, 2, 1],\n [-3, 4, -12, -9, -4, -9, 6],\n [11, 12, -8, 5, 2, 7, -5]]\nB =\n[[-11, 12, 0, 0, 1, 2],\n [8, -1, 10, -8, -10, 5],\n [-10, 1, -11, 5, 0, -11],\n [-1, -11, -5, -8, 12, -2],\n [0, 8, 4, 11, 3, 6],\n [2, 5, -7, -9, -9, 0],\n [-4, -3, 1, -5, -10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "378", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 1) of the product of the following matrices:\nA =\n[[-12, 2, 2, -6, 2, -6],\n [0, -1, 5, -6, -6, 2],\n [-4, -7, -4, 6, 11, 7],\n [3, 3, -12, 10, 0, 6],\n [-9, 6, 9, -3, 0, -12],\n [0, -3, 2, 2, -6, 1],\n [-5, 6, 12, 5, 2, -4]]\nB =\n[[-1, 8, 9, 1, -11, -8],\n [9, -8, 1, -9, 11, -11],\n [-12, -11, 0, 7, 4, 12],\n [0, 4, -8, 11, 12, 12],\n [-5, 9, 9, -1, -4, 5],\n [3, 6, 9, -5, -6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[8, -4, 9, -1, 1, -3],\n [3, -11, -7, -2, -9, -8],\n [-8, 4, -8, -2, -4, 2],\n [11, 11, -10, 3, -4, 12],\n [10, -7, -4, 9, 6, -7],\n [-2, -11, 5, -6, 11, 10]]\nB =\n[[8, -9, 11, 12, -6, 4, -9],\n [0, 7, 6, -9, 12, 0, -12],\n [-11, -6, 12, 10, 4, -6, 9],\n [0, 4, -12, -11, -7, -1, 0],\n [7, 7, 9, -4, 4, 5, -5],\n [-5, -2, 9, 9, -5, 5, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "82", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, -12, 2, 9, -7, -7],\n [0, -11, 10, 6, 4, -12],\n [1, 3, 2, -4, 6, -5],\n [2, -3, 10, -11, 5, 7],\n [-11, 8, -1, -3, -1, -6],\n [-11, 12, -12, -11, 10, 8]]\nB =\n[[4, 7, -5, 8, -1, -11, -4],\n [4, 4, -3, 0, -8, 1, 1],\n [2, 12, 9, -8, 9, -7, -4],\n [-4, 8, -9, -12, 9, 10, 10],\n [2, 1, -12, -7, -5, -10, 4],\n [10, 7, -8, 5, -6, 4, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4403", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[7, 11, 3, 0, -6, 2, 10],\n [10, -8, -1, -3, 6, -3, -6],\n [11, 10, 9, 2, -4, -7, 8],\n [-2, -7, 7, 2, 0, -7, 7],\n [8, 2, -7, 3, -12, -7, 3],\n [9, -12, -6, -3, 8, -5, 8],\n [-8, 5, -9, 7, 3, -3, 3]]\nB =\n[[-5, 6, -12, 10, -4, -7],\n [0, 0, 5, 1, -11, 3],\n [4, 9, 3, 1, 0, 3],\n [11, -12, 4, -12, -3, -8],\n [-6, -9, -12, -12, -3, -10],\n [-8, 0, 8, 12, -4, 12],\n [-5, -2, 12, 11, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-606", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 2) of the product of the following matrices:\nA =\n[[11, 11, 8, -3, -10, -9, 12],\n [10, -1, -4, -2, -2, 3, 0],\n [1, -6, -1, 11, 6, -5, -9],\n [9, 4, -11, 10, 9, 0, 8],\n [-6, 5, -3, -9, 8, -5, 9],\n [9, 8, 0, 1, 8, 4, -1]]\nB =\n[[-9, -4, 2, 2, 5, -7, -11],\n [-4, -8, 12, -1, -8, -1, 12],\n [2, -11, -2, 10, 11, 6, 4],\n [5, -3, -8, 12, 8, 4, -12],\n [0, -11, 4, 2, -5, -11, -5],\n [-8, 4, -9, -1, 5, -7, -8],\n [12, 6, -8, -3, 10, 12, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-118", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 4) of the result:\nA =\n[[-9, 0, 0, 4, 5, 6, 10],\n [10, 4, 12, -10, 0, 0, -10],\n [-11, 2, -10, 9, 3, -3, 7],\n [-11, 2, -5, 0, -12, 11, -11],\n [-4, 7, 7, 10, 6, -1, -1],\n [-3, 6, 7, -3, 6, 11, -4],\n [-8, -10, 10, 6, 9, -9, 10]]\nB =\n[[1, -7, 0, -6, -1, 7],\n [1, 0, -2, -7, -6, -3],\n [11, 2, -4, -10, -8, -3],\n [2, -10, 8, 5, -10, -6],\n [11, 8, 1, 3, 6, -9],\n [-10, -10, -4, -9, 9, 6],\n [11, -2, 2, -9, -5, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-168", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, 5, -10, -10, 8, 6, -1],\n [11, 1, 10, 0, 3, 4, 9],\n [5, 0, 11, 0, -5, -6, -5],\n [4, 11, -12, -10, -9, 6, -11],\n [-2, -2, 6, 12, -11, -8, 6],\n [-4, -6, -1, 6, 5, 5, 8]]\nB =\n[[-4, -11, -11, 2, 11, 3, 1],\n [6, 2, -10, -7, -7, 9, 8],\n [7, -4, -2, -9, 1, 0, 2],\n [4, -5, -2, 11, -2, 3, -10],\n [12, 10, 2, 0, -6, -8, -1],\n [-10, -1, -8, 6, 6, -12, 7],\n [12, -1, 9, 9, -7, 8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-198", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[8, 3, -2, -3, -10, 5, -1],\n [1, -9, -3, 12, -6, 3, -4],\n [-10, -11, 12, -7, -3, -9, -9],\n [-3, -3, 0, -7, -6, -8, 2],\n [-5, -3, -1, 4, 3, -12, -9],\n [-5, 11, -7, 8, -3, 5, 0],\n [-8, -1, 8, 5, -5, 1, 2]]\nB =\n[[-8, -8, 4, 0, 4, -2, -12],\n [11, 0, 5, 11, -7, 0, 8],\n [9, 7, -2, 6, 7, -4, 0],\n [2, 11, -2, 11, 3, 4, -8],\n [9, 1, 2, -4, 1, -3, 9],\n [0, 4, -12, 1, -1, -6, -10],\n [10, 8, -12, 11, 0, 12, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4167", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-11, -4, 5, 9, -9, 3, -7],\n [7, -10, -2, 11, -8, -12, -5],\n [6, -9, -4, -10, -8, 3, -5],\n [-7, -10, 3, -5, 0, -8, -7],\n [-10, -5, -9, 12, 8, 4, 12],\n [-5, 8, 6, 1, -4, -1, 0],\n [10, -5, -10, 9, 2, 7, 6]]\nB =\n[[-9, -11, -8, 11, 8, -11, -6],\n [11, -2, -1, -9, -10, -5, 5],\n [10, 11, -8, 3, 10, -1, -4],\n [-5, -8, 7, 6, 2, 9, 7],\n [-2, 7, 0, 10, 0, 8, 4],\n [8, 3, 9, 4, 6, 9, 1],\n [10, -6, 10, -4, -11, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "137", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, -12, -6, 3, -11, -9, 10],\n [7, 9, 1, -2, -4, -8, -10],\n [9, 7, 12, -11, -3, 8, 12],\n [-3, -6, 2, -8, -5, 5, 7],\n [-7, 10, -2, -5, -9, 12, -6],\n [-11, 2, -4, 10, 8, 6, 12]]\nB =\n[[10, 6, -8, 6, -10, -1],\n [-6, 12, -8, -1, -9, 7],\n [6, 0, 2, 11, -3, -12],\n [-10, 5, 3, -1, 3, -2],\n [-2, 10, 9, 1, 4, 6],\n [-2, -9, -3, 10, 6, -9],\n [-2, -6, 7, -4, 9, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5383", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 5) of the result:\nA =\n[[-12, -5, 6, 10, 3, 1, -9],\n [6, 12, 9, 9, -7, 2, 0],\n [6, 9, -9, -11, -10, 1, -9],\n [3, -2, 0, -12, 0, 2, -6],\n [-8, 12, -7, 11, -4, -7, 10],\n [-7, 9, -11, 8, -7, -3, -8]]\nB =\n[[7, -1, -7, -7, -5, 11, 4],\n [5, -2, -12, -6, -5, -10, 6],\n [3, 10, -5, -7, 11, -11, 10],\n [-1, 8, -7, 1, -6, -4, -6],\n [2, -1, 4, 2, 2, 8, 1],\n [-2, -2, 7, 0, 0, -5, -6],\n [7, 0, -2, 6, -7, -5, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-241", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-8, -3, -12, -1, 11, -6],\n [-5, 5, -6, 1, 7, 5],\n [12, 8, 10, -9, -3, -2],\n [-2, 7, 6, -12, -11, -4],\n [4, -8, -11, -9, -6, 8],\n [4, -10, -4, -12, 7, 8],\n [3, -10, 6, 3, -12, 9]]\nB =\n[[-1, 7, 11, -7, -10, -6, -10],\n [0, 3, 1, -4, -5, 2, 6],\n [0, 1, -2, 5, -10, -9, -10],\n [12, 0, 3, 0, -3, 5, -5],\n [-6, 4, 9, -7, 2, -4, -3],\n [-5, -6, 10, -8, 5, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-301", "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, 8, -12, -7, 2, -11],\n [-1, -12, 2, 0, -12, -12],\n [-9, 8, 1, 8, 4, 0],\n [-1, -7, 6, 7, 3, 8],\n [3, -1, 7, 7, 0, -12],\n [5, -11, -11, -12, -3, 11],\n [-12, 1, -5, -12, 1, -3]]\nB =\n[[6, 12, -5, -11, -9, 11],\n [-1, -4, 10, -12, -5, 4],\n [3, 2, -4, -5, 7, 1],\n [-1, 2, -9, -9, 9, -11],\n [-9, 7, 11, 5, 2, -5],\n [-3, -11, 12, -4, 3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4730", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-1, -8, -6, 2, 0, -5],\n [11, 6, 6, -8, 8, 5],\n [8, 4, -6, 1, 2, 10],\n [4, -10, 11, 0, -2, 12],\n [-10, -7, -7, 9, 8, -7],\n [-7, -7, 11, 1, -2, 3],\n [9, 6, -6, -7, -2, 12]]\nB =\n[[-9, -12, 9, -4, 0, -5, -11],\n [3, 6, -5, -1, -2, -4, 11],\n [-3, -12, 6, 11, 4, 10, -9],\n [-1, 10, 7, -5, 9, 3, 11],\n [-12, -4, -2, -1, -4, -7, -4],\n [-7, -7, 7, -10, -10, 3, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-69", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-9, -4, -6, -10, 11, 0],\n [1, -4, -12, -1, -12, -4],\n [12, -6, -10, -9, -6, 12],\n [2, 11, 11, -12, -7, 9],\n [-8, -2, 4, -10, -1, 7],\n [-3, -6, 2, 8, 5, 6],\n [-12, 9, 0, 11, -9, 5]]\nB =\n[[-1, -9, -9, -8, 6, -4],\n [-6, 12, -6, -1, -3, 7],\n [8, 0, 10, -7, -4, 6],\n [11, 3, -2, -9, 12, -12],\n [8, -1, -9, -8, -7, 1],\n [-12, -5, 2, -1, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "511", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, -4, -2, 10, -5, -9],\n [-3, 7, -3, -5, 1, -9],\n [7, -10, -10, -9, -1, 5],\n [6, -2, 5, 1, -2, 1],\n [9, -10, -11, -4, -5, -8],\n [-4, -8, 8, 0, -2, -2]]\nB =\n[[7, -1, 6, 0, -4, -9],\n [-6, -8, -6, -5, 1, 11],\n [-3, -7, -8, 2, 3, -11],\n [2, -5, 8, 11, 9, 11],\n [0, 4, 2, 12, 1, 12],\n [6, 0, 8, -6, -5, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-132", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 2, -6, 4, 8, 12],\n [5, 6, 12, -10, 11, 9],\n [-6, 8, -3, -6, -2, -10],\n [8, 9, -4, -9, -5, 11],\n [9, -1, -5, 2, 1, -8],\n [4, 7, -2, 9, 2, 12]]\nB =\n[[0, -9, 9, 0, 0, -2],\n [-8, 12, 1, 9, -10, 5],\n [-10, -7, -5, 11, 8, 4],\n [-12, -6, 5, -9, -3, -8],\n [-5, 12, 0, 4, 12, 8],\n [-9, -3, 8, 12, -5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1014", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[0, -1, 8, 0, -3, 8],\n [-12, -4, -10, 4, 8, -3],\n [6, -7, -6, -2, 3, -9],\n [-9, 5, 5, -6, -2, -8],\n [8, 5, -6, -11, -8, -8],\n [6, -11, 6, -8, -1, 0]]\nB =\n[[9, 7, -6, -11, 9, 1, 12],\n [-8, 7, 12, 9, -1, -9, 4],\n [3, 12, -3, -10, 9, -12, -7],\n [-10, 6, -6, -4, 9, -1, 1],\n [-12, 12, 0, 8, -11, -10, -2],\n [-8, -11, 1, 0, 1, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[0, 9, -1, 5, 5, 4, -6],\n [9, 0, 0, -7, 8, 6, 11],\n [6, 8, 11, 3, -10, 1, 8],\n [-7, 4, 3, -11, 10, -4, 0],\n [1, 7, 8, -1, 7, -2, 6],\n [-3, 5, -10, 3, 5, 1, 11],\n [4, -8, 4, 8, 1, -10, 12]]\nB =\n[[2, -1, 4, 4, 11, 6],\n [-6, -8, -11, 3, 0, -2],\n [-6, 10, -10, -7, -8, -12],\n [-12, 5, 10, -10, 12, 6],\n [-3, 7, -2, -5, 7, 10],\n [-2, -8, 9, 11, -9, 0],\n [-7, -11, 12, 12, -7, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-3, 10, -9, 3, 10, -3, -12],\n [0, 1, 10, -1, 0, -12, 1],\n [-5, 9, 1, -12, 4, 3, -1],\n [7, 10, -8, 8, 11, 5, -9],\n [7, -2, -5, 9, -4, 12, 7],\n [-3, -6, 6, 9, -12, -8, -7]]\nB =\n[[-1, -1, 8, 1, -6, 7, 8],\n [7, 1, 3, -4, -11, 4, -9],\n [1, 1, 2, -1, 0, 9, -3],\n [3, 2, -5, -9, -12, 1, -4],\n [6, -7, 3, 11, -2, 8, 10],\n [-2, 1, -2, 1, 12, -12, -2],\n [11, 5, 4, -9, 9, 1, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-642", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 3, -12, -12, -3, -11],\n [12, -1, -9, 10, 6, -12],\n [-12, -4, 7, 0, -2, 6],\n [8, 4, -10, 7, 0, 9],\n [12, 6, 7, 8, 11, -4],\n [6, 6, 10, 12, -12, 4],\n [1, -1, -11, 9, -10, 11]]\nB =\n[[-8, -10, 1, 11, 11, 5, -8],\n [-10, 10, -11, -4, 5, -11, 9],\n [6, -10, 5, 1, 0, 3, 8],\n [-2, 8, 10, 11, 11, -1, -10],\n [-7, 3, -1, 8, 7, -7, 7],\n [1, 11, -4, 4, -1, -12, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "504", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[9, -5, -1, 3, -12, -10],\n [-1, -9, -3, -11, -4, -10],\n [7, 7, -12, -8, -8, -11],\n [2, -12, 8, -8, -6, -2],\n [-3, -11, 1, 11, 8, -8],\n [3, 12, -11, -3, 5, -8],\n [4, -2, -8, 8, 11, -7]]\nB =\n[[9, 3, -8, 8, 11, 3],\n [4, -4, 9, 12, -11, 6],\n [4, -8, -11, -2, -12, -4],\n [12, -7, -2, -5, 0, -1],\n [-4, 2, -8, 2, -11, 2],\n [7, -10, -3, -6, -3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2218", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 5) when matrix A is multiplied by matrix B?\nA =\n[[-5, 0, 8, -11, -1, -4, -12],\n [8, -1, -1, -10, 11, -5, 0],\n [4, 7, -3, 2, 11, 12, -4],\n [5, 12, -5, 1, -2, 0, 3],\n [1, -4, -4, 6, -8, 2, -2],\n [6, -7, -3, 3, -8, 5, 6]]\nB =\n[[10, -3, -3, -1, 8, -10, -9],\n [9, 11, -1, -6, -1, -10, 5],\n [6, -8, 1, 10, -5, 9, 2],\n [3, 5, -2, -11, -3, -2, -8],\n [8, 4, -12, 12, 1, 2, -6],\n [-5, 3, 0, -8, -10, 0, 6],\n [-1, 6, 4, -2, -10, -11, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "161", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 2) of the product matrix AB given:\nA =\n[[1, 9, 8, 4, -11, 5, 10],\n [2, -1, 3, 3, -6, -7, 1],\n [-5, 7, 12, 11, 6, 6, -1],\n [-4, -4, -8, 1, -12, -10, -2],\n [8, -9, 7, -12, -7, -3, -9],\n [4, 9, 8, -8, -11, -12, 3]]\nB =\n[[-6, 8, -10, 1, 9, 6, 3],\n [9, -7, 12, 11, -12, -6, -2],\n [12, 5, -4, 9, -10, 11, 10],\n [-5, -5, 10, -12, -3, 2, -3],\n [-5, 8, -11, 5, -11, 12, 8],\n [6, 9, -4, 12, 12, -3, -9],\n [8, -12, -2, 9, -11, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 7) of the product matrix AB given:\nA =\n[[2, 7, 12, 0, -12, 9],\n [-11, -7, -6, 6, -9, 5],\n [10, -4, 8, -2, -8, 12],\n [11, -12, -11, 10, -10, 9],\n [4, 11, -11, -12, -11, -5],\n [0, 1, 8, -1, -4, 6],\n [11, 7, -6, -3, 11, -10]]\nB =\n[[6, 4, -5, 5, -6, -6, 10],\n [7, 10, 3, 2, 1, 3, 11],\n [-4, 10, 9, 8, -3, 2, 10],\n [-3, -11, -8, -5, -7, -7, -12],\n [3, 5, -10, -6, -1, -3, 9],\n [8, 12, -3, 10, -4, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "160", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-5, 12, 5, -9, -11, 0, 10],\n [1, 7, 9, 11, 2, 0, -7],\n [7, -7, -12, 2, -7, 2, 2],\n [1, -3, -5, -9, 12, 9, -7],\n [7, 11, 8, 4, 10, 11, 9],\n [-6, -1, 10, -9, 1, -9, 3],\n [-12, 5, 6, 8, -3, 12, -8]]\nB =\n[[0, -7, 10, -9, 3, -5],\n [3, -2, 9, -12, 9, 5],\n [-9, -2, 7, -3, 3, -3],\n [-8, 5, 9, -2, -10, -4],\n [2, 9, 6, 6, -8, -7],\n [-9, -1, -8, -10, -3, 0],\n [-9, 11, -5, -12, 7, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-564", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-9, 8, -12, 8, -6, -8, 10],\n [0, 12, 0, -5, 4, -3, -3],\n [-11, -7, 8, -12, 5, -10, 8],\n [-6, 3, 9, -10, -7, -9, 3],\n [-10, -9, -2, 11, 4, 6, -5],\n [1, 3, 12, 6, 3, 12, -3]]\nB =\n[[2, -9, -9, 0, -1, 2],\n [10, 0, -7, 1, -10, -5],\n [-1, 1, -8, -11, -3, -10],\n [10, -3, -4, 4, -7, -4],\n [10, -10, -6, -1, 5, -3],\n [-11, 4, -10, -12, -5, 0],\n [-2, -5, 7, -12, -11, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3434", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[5, -4, -6, -4, -3, -11],\n [-8, 4, -11, 7, -3, -12],\n [-1, 11, 2, -7, 1, 1],\n [2, -12, 12, 4, -2, 2],\n [7, 3, 8, -4, -1, -11],\n [2, -4, 3, 4, 7, 10]]\nB =\n[[-9, -5, -6, -7, -8, -3],\n [-10, 11, 7, 11, 4, 3],\n [-2, 0, 5, 1, -11, -1],\n [9, 8, -3, -6, -11, 12],\n [5, 4, 3, -11, -2, 6],\n [9, -6, 9, 4, 2, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3547", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-1, -5, -11, 4, 3, 10, 3],\n [-10, 6, 3, -2, -4, 1, -11],\n [0, -8, 7, 1, -12, -7, 9],\n [-2, 4, 10, 9, 1, 1, 7],\n [-6, 6, 9, -7, 0, -3, 9],\n [6, -3, -8, 0, 4, 9, 10]]\nB =\n[[-8, 8, 9, -6, 7, -6, 2],\n [2, 8, 10, -12, -1, -11, 5],\n [2, -6, -4, 10, 9, -10, 8],\n [-3, -11, 12, 9, 12, 12, -1],\n [-6, -8, -9, -12, 2, -4, -7],\n [1, -11, -1, 10, -7, 0, -9],\n [9, 3, -2, -7, -8, -12, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "30", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-6, 5, -3, -3, 4, 11, -6],\n [9, 8, 9, -12, -1, 12, 4],\n [3, 7, 2, 6, 7, 4, -9],\n [-9, -10, -5, 10, -4, -11, 6],\n [9, 5, 3, 5, 5, -1, -11],\n [8, -12, 10, 3, 4, -12, 8],\n [10, -10, 10, 12, 7, 3, 8]]\nB =\n[[1, 3, 11, -4, 8, 8, -11],\n [12, 0, 9, -8, 8, 7, 4],\n [-7, 4, -11, -6, 4, 11, -5],\n [10, 10, -12, 6, 12, -8, -8],\n [10, 11, 9, 8, -12, -3, -3],\n [12, 9, -10, -1, -1, -6, 3],\n [7, -10, -6, 9, 1, -9, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "586", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[11, -11, 9, 3, -10, 2],\n [-5, 3, -2, 11, -2, -2],\n [-12, -11, 7, -12, 6, 7],\n [-3, 6, 8, -2, -1, -3],\n [-6, 11, -5, -2, 5, 3],\n [-12, -7, 4, 9, 0, 10]]\nB =\n[[12, -3, -3, -12, -6, 7],\n [-4, -2, 7, -11, -12, 10],\n [-1, -6, 6, -8, -1, 1],\n [-6, -5, 1, -1, -4, -3],\n [-3, -12, 12, 9, -7, 1],\n [10, -4, 10, 10, -1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-41", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 3) when matrix A is multiplied by matrix B?\nA =\n[[12, 7, 9, 10, -1, 12],\n [0, -10, -2, -11, 5, 5],\n [12, 11, 12, -4, -12, 3],\n [12, -12, 8, 7, 11, -8],\n [12, 4, -5, -7, -12, 0],\n [5, -9, 2, 1, 3, -8],\n [-12, 10, -9, 4, -7, 12]]\nB =\n[[12, -9, -6, -12, -3, 0, -4],\n [1, -12, -4, -7, -3, -2, -6],\n [7, 12, 9, -1, 9, -1, 1],\n [-3, 3, 9, -9, 10, 1, -11],\n [-11, -2, -2, -7, 12, -10, 10],\n [-4, 12, -10, -12, -11, 2, -2]]\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 absolute values of all entries of the result:\nA =\n[[-5, 3, 10, 4, -10, -5, -6],\n [8, -10, -6, -8, -12, -8, -10],\n [5, 6, -3, -9, 0, -12, -9],\n [-4, 4, -2, -6, 11, 12, -6],\n [0, 12, 6, 4, 5, 0, 4],\n [5, 12, 8, 7, -11, 6, 2],\n [-4, 1, 6, -5, -1, 4, -1]]\nB =\n[[2, -8, -11, 7, 5, -10],\n [-8, -11, -4, 11, -8, 4],\n [8, 7, 2, 0, -4, -11],\n [10, -11, -2, -10, -10, -3],\n [11, -11, -12, -7, -7, -2],\n [3, -12, -8, 12, -3, 8],\n [10, -7, -2, 3, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5035", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (3, 3) of the product matrix AB given:\nA =\n[[-1, 5, 0, -8, 0, 12],\n [0, 6, 6, 0, -2, 3],\n [10, 1, -3, -11, -5, 10],\n [-5, 9, 8, 7, 1, 11],\n [1, 5, 2, 9, 3, 1],\n [-3, 9, 8, -11, -8, -10],\n [10, -6, 11, -1, -3, -2]]\nB =\n[[12, 4, -9, -7, -6, -8],\n [-7, 4, 1, -2, -8, -11],\n [1, 3, -11, 4, 3, -4],\n [7, 7, -4, -8, -9, -6],\n [-8, 11, -10, -5, 3, -7],\n [-4, 9, 7, 5, -2, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "108", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[-6, -3, -8, -6, 10, -7],\n [5, 8, 2, -3, -7, 11],\n [-12, -3, 10, 2, 1, 3],\n [-8, 1, 3, 1, -6, 6],\n [-9, 5, 9, 8, 2, 4],\n [-12, 11, 2, 3, 11, 9],\n [-2, -4, 4, 2, -5, 5]]\nB =\n[[-5, -10, 9, 10, 6, 1, -11],\n [-12, -8, 4, -12, 8, 3, -10],\n [-3, 6, -2, 10, -10, -11, -10],\n [2, 7, -4, 2, -11, -7, -8],\n [-7, -8, 9, -1, -9, 11, 12],\n [10, 1, 1, -2, -12, 8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-8, -8, -1, -8, 8, 0, -2],\n [8, -12, -1, -7, -2, -1, -7],\n [11, -8, 5, 3, 0, -6, 1],\n [-12, 8, 8, -1, -10, 5, -2],\n [7, -6, -3, 6, 0, 1, 2],\n [-7, -6, 0, 3, 2, 5, -10]]\nB =\n[[3, 12, -12, 11, -12, 6, -7],\n [-2, 11, -6, -10, -7, -12, -5],\n [12, 12, 1, -9, -9, 10, 10],\n [3, -2, 9, -6, -12, -4, -7],\n [11, 0, 8, -1, 10, 6, 4],\n [10, 8, -12, -4, 12, 9, 12],\n [10, -5, -11, 5, -9, -12, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4523", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -1, 3, 10, 5, -8],\n [3, -4, -4, -11, 1, -2],\n [-11, 3, 8, 6, 0, 4],\n [-12, 8, 6, 3, 12, 0],\n [6, -10, -10, -12, -10, 3],\n [8, -5, 10, 3, 0, 0]]\nB =\n[[-2, -9, -9, 2, -9, -5, 11],\n [-11, 2, 10, 1, 8, -11, -10],\n [-2, -6, 3, 9, 9, -6, 9],\n [-2, -11, -5, -6, -7, 3, 8],\n [-2, 9, -10, 5, -4, 4, -11],\n [-3, -3, 4, -5, 7, -7, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "240", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 11, -3, 10, -12, -5, -9],\n [-6, 6, 2, -11, 4, 8, 3],\n [1, -10, 6, -5, 4, 5, -12],\n [-6, -9, -10, 6, -3, -10, -11],\n [-8, 4, -8, 1, 3, 11, 10],\n [1, 6, 0, -1, 12, 3, 10],\n [4, 9, 7, -7, 1, 3, -10]]\nB =\n[[8, 6, -6, -8, 7, 10, 10],\n [-3, -4, -10, -3, 3, 11, 10],\n [-4, -11, -7, -8, -10, -6, 2],\n [8, -7, -9, 10, 0, 10, -8],\n [2, -6, -6, -3, 0, 11, -2],\n [-12, 7, -2, -12, -10, -5, 0],\n [-6, -10, 7, -11, 5, -8, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5702", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, -6, -12, -4, 2, -12, 4],\n [-4, 10, 2, -3, 7, -10, -8],\n [-11, 9, -7, 3, -1, 4, -1],\n [12, 4, 9, -6, 11, 3, 5],\n [-5, 5, -11, -4, 10, 11, 3],\n [4, -3, 9, -12, 8, 5, 2],\n [-4, -10, 3, 10, 2, -11, -3]]\nB =\n[[-9, 6, 4, -3, 9, 8, -7],\n [-12, -2, 3, 11, 7, -6, 11],\n [-10, 1, -9, -4, 2, -1, 12],\n [3, 10, 6, 1, -9, 10, -7],\n [9, -2, -9, -5, -4, 10, 11],\n [-11, 7, -10, -7, -11, 10, -5],\n [7, 11, -5, -10, 4, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5577", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, 1, -12, -1, 5, 11],\n [-9, 12, 10, -10, 4, 0],\n [4, 4, 6, -8, -5, 11],\n [-11, 12, -4, -6, 3, -1],\n [8, -8, 11, 11, 8, 9],\n [-7, 9, 8, 12, 4, 2]]\nB =\n[[-3, -10, -6, 12, -11, 0],\n [1, -9, -5, -8, -1, 11],\n [-1, -2, -11, 11, 9, -8],\n [0, 5, 10, 4, -7, 6],\n [9, 4, 4, 5, 2, 10],\n [7, -9, -9, -8, 2, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-415", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[-2, 10, -10, -2, -10, -2],\n [-11, 9, 7, 7, 2, -5],\n [-11, 10, 5, 9, 8, -5],\n [9, -1, 10, -7, 11, -11],\n [-1, 10, 8, -1, 0, -4],\n [2, -2, -4, 11, -5, 7]]\nB =\n[[11, 5, -2, -8, -9, 8],\n [-8, 8, -6, 4, 5, 10],\n [-12, 3, -4, -1, 6, -2],\n [-7, -9, 3, -10, -5, 3],\n [-11, 0, 6, 11, 3, 6],\n [-5, 10, -11, -12, 4, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3405", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-6, -4, 10, -10, 11, 11],\n [12, -2, 3, -4, -1, 1],\n [12, -9, -9, -2, -11, 11],\n [5, -10, 12, -11, -12, -8],\n [-6, 7, -9, -10, -7, -1],\n [3, -5, -2, 0, 1, 5]]\nB =\n[[9, -5, -12, -9, 4, 7, 12],\n [9, -7, -8, 1, 6, 1, -11],\n [-4, 12, -6, 5, 7, -2, -5],\n [9, 8, -3, 5, 4, 4, -12],\n [9, -9, -2, -4, -4, -10, -7],\n [-7, -3, -3, 4, 2, 12, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "244", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[9, -3, -5, -12, 11, 9],\n [4, -1, -1, 12, 0, 12],\n [1, -5, 1, -6, 4, -2],\n [-12, -5, 0, 11, 4, 11],\n [11, -1, 3, -3, 3, -10],\n [-12, 6, 11, -5, 3, 2],\n [-6, -11, 0, -8, -3, -5]]\nB =\n[[0, 6, -7, 5, -5, -4],\n [4, -9, 9, 5, -7, -2],\n [10, 9, -3, -2, -5, 8],\n [-10, -11, 5, -11, -1, -8],\n [-9, 3, 1, -11, 8, -6],\n [8, -2, 11, -1, 9, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "164", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-8, 11, 3, 9, -6, -5, -9],\n [-9, -7, -11, -4, -5, 5, -1],\n [3, -12, 7, -9, 1, 5, -8],\n [-10, 6, -1, 6, 7, -2, 8],\n [7, -4, 7, 10, -8, -3, -4],\n [12, 0, -5, 9, 0, 9, 5],\n [10, -4, -4, -11, 12, -6, -8]]\nB =\n[[8, -7, 0, 11, 5, -10],\n [-3, 10, -10, -12, -7, 10],\n [3, 12, 4, 3, 12, -3],\n [-6, -5, -10, -8, 6, -6],\n [5, 9, 5, 12, -7, -8],\n [-7, -7, 9, 9, 12, 10],\n [-2, 4, -4, 9, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-284", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[2, -5, 1, 3, 6, -10],\n [0, -4, -1, 12, -8, 8],\n [6, -6, -6, 6, -5, -7],\n [-10, 9, -12, -7, 10, 7],\n [7, 6, 8, 0, 4, 9],\n [5, 7, -7, -2, -7, -6],\n [-12, 9, 12, 11, -5, 1]]\nB =\n[[9, 7, -12, -8, -8, 1],\n [-6, 4, -2, 9, -6, -12],\n [2, 6, -3, -4, 0, 11],\n [0, -7, -5, -1, -11, 3],\n [-1, 10, 5, -10, 5, -2],\n [-8, 0, -3, 8, 9, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-748", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-7, 3, 10, -5, 7, 12, -10],\n [-8, 2, -10, 2, -11, -1, -8],\n [-4, 9, -9, 10, 8, -6, 3],\n [0, -11, -11, -4, 2, -9, 4],\n [-4, 2, -12, -11, -4, -2, 6],\n [-12, 6, -4, -11, -8, 4, -12]]\nB =\n[[1, -1, 10, -3, 6, 2, -12],\n [-12, -2, -2, -8, -10, -2, -9],\n [-7, 5, -6, 8, 11, -9, 1],\n [-5, 7, -2, 1, 8, -10, -2],\n [-9, -4, -8, 0, 7, -9, -6],\n [-11, 7, 6, -6, 7, 11, 8],\n [12, -4, 6, 12, 7, 12, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5901", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[8, 3, -7, 6, 5, 4, -2],\n [10, -9, 11, -5, 11, 5, 0],\n [8, -5, -3, 5, 5, 4, 3],\n [-7, 1, -8, 2, 0, 3, 3],\n [4, 11, 11, -8, -2, 2, -10],\n [-5, -10, -9, 1, 10, 10, 7],\n [12, -7, 11, 10, -9, -1, -11]]\nB =\n[[5, 1, -5, -5, -1, -12],\n [-12, -9, 4, -3, -12, -2],\n [8, 4, -3, -7, -9, 0],\n [-2, -8, 1, 12, -11, -10],\n [-10, -2, -4, 6, -3, 8],\n [-7, 9, -7, -12, 9, -12],\n [9, 9, 6, -10, -7, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-806", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[2, -1, 8, -3, 6, 8, 0],\n [-10, 5, 7, -8, 9, 0, 1],\n [2, 5, 1, 6, -10, 9, -12],\n [10, 11, -6, 7, -6, 4, 2],\n [0, 11, 2, -10, 12, 4, 3],\n [9, -12, 11, 1, -10, 7, 9],\n [-9, 11, -4, 8, -12, 11, 1]]\nB =\n[[0, 2, 5, 3, -7, 9, 3],\n [-2, -6, -4, -12, -3, -5, -2],\n [-8, -7, 11, 11, -1, -2, -6],\n [-6, -1, -1, -12, 11, 6, 8],\n [-9, 6, 8, 6, 12, -2, -4],\n [0, 9, 6, -8, -2, 11, 12],\n [-10, -8, 0, 1, 0, -11, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5846", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 3) of the product of the following matrices:\nA =\n[[5, -7, 6, -3, 8, -5, -8],\n [-11, -7, 5, -5, -11, 10, 7],\n [-9, 2, 11, 7, 11, -4, 11],\n [7, 8, -7, -4, 0, -8, 1],\n [1, 5, -6, -7, -1, 1, 6],\n [3, 11, 6, -3, -2, -9, 12]]\nB =\n[[7, -11, -4, -3, -5, -9, 0],\n [-7, -7, -11, -4, -7, -8, -11],\n [1, -3, 2, 4, -6, 7, -2],\n [0, 10, 8, 4, -8, -1, -9],\n [-12, -3, -11, 0, 0, 12, -1],\n [-12, -3, 7, 11, -8, -3, -6],\n [2, 5, 7, -9, -12, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-211", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, -1, 0, 7, 5, -1],\n [-3, 8, 8, 2, -10, 11],\n [2, 4, 3, -11, -12, 9],\n [-9, 4, -6, 12, -8, 10],\n [-9, 7, 7, -8, -5, 7],\n [10, -4, -7, -9, -8, -5],\n [7, 0, -9, -6, 9, -12]]\nB =\n[[-4, -8, -3, -2, 5, -8],\n [11, 9, 11, 8, -9, 6],\n [3, -11, 2, -4, 4, -11],\n [9, -7, -12, -5, -2, 7],\n [10, 2, -4, -11, -6, 4],\n [-10, -9, -10, -5, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "604", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, 10, 6, 10, -11, -1, -2],\n [3, -2, -10, 10, -3, -8, 0],\n [12, 11, -7, 7, -10, 9, -4],\n [8, -6, 10, -6, 12, -11, -5],\n [5, -12, -3, -7, 5, 0, 8],\n [-12, 10, -12, -1, -5, 8, -8],\n [-10, 5, -7, -9, 2, -9, -7]]\nB =\n[[5, 5, -3, 0, 7, 9],\n [5, -6, -5, 12, -7, -11],\n [9, -5, -3, 4, 9, -1],\n [-2, 4, 3, 9, -3, 7],\n [-10, 6, -9, 6, -4, 7],\n [4, -9, 4, -10, 7, -9],\n [-4, -7, 6, -6, 3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4924", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (5, 2) of the result:\nA =\n[[3, 1, -9, 10, -11, -6],\n [11, -6, -7, 7, -4, 4],\n [8, -2, 3, -12, 3, 4],\n [-7, 9, -2, -6, 3, 12],\n [9, -11, 7, 0, 0, 2],\n [2, -4, 5, 1, 10, 1],\n [-9, 1, -3, -2, 9, -12]]\nB =\n[[1, -5, -7, -2, 1, -6, 9],\n [-6, 8, 6, 9, -3, 12, 9],\n [-4, 5, 4, 0, -9, 8, -6],\n [-5, 3, -1, -12, -7, -12, -5],\n [-1, 3, -12, -9, 6, 5, -5],\n [-7, 0, 7, -10, 2, -7, -7]]\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[[-8, 6, -3, -4, 1, 9],\n [-8, -6, 4, 10, 4, -4],\n [9, 10, -6, -12, -11, -3],\n [6, -5, -4, 2, -2, 11],\n [-1, 9, 5, -11, 2, -3],\n [-6, -4, 9, 4, 1, -4],\n [-6, 2, -10, -11, -10, -11]]\nB =\n[[0, 0, -11, 7, 9, 6, -4],\n [-8, 8, -6, 12, 0, -12, -4],\n [-11, -10, -1, -8, -1, -9, 8],\n [8, -1, -8, 1, 1, -3, -3],\n [-8, 5, 4, -3, -2, 2, 11],\n [6, -1, 3, 10, 11, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4462", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 6, 12, -10, 0, 8],\n [9, 2, 4, -2, 12, 10],\n [-1, 4, 9, 10, -8, -8],\n [-6, -10, -10, 4, 11, -11],\n [2, 6, 10, -3, -2, 11],\n [-4, 1, 11, -6, -3, -12]]\nB =\n[[-12, 1, -5, 1, -6, 5, 12],\n [10, -4, 2, -12, -2, 6, -3],\n [5, 9, -9, 5, 5, 9, 12],\n [9, 7, -1, -4, 5, -7, 10],\n [6, 7, 10, 12, 2, -8, -2],\n [0, -11, -5, 12, -2, 5, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4756", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-12, -9, 4, 4, -8, 10],\n [-10, -6, -8, -3, 11, -6],\n [4, 4, -6, -7, -4, -5],\n [1, 9, -7, -4, 7, 12],\n [-2, -2, -5, -10, -2, -9],\n [10, -10, 0, 6, -5, 8],\n [8, 11, 9, 8, -12, 8]]\nB =\n[[-5, -4, -7, -2, -3, -10, -5],\n [-8, -11, 3, -12, 11, -11, -10],\n [-4, 4, 11, -1, -11, 11, -11],\n [10, 6, 7, 4, 4, 0, -1],\n [-2, -2, 11, -5, 5, -9, 5],\n [2, 11, -6, 10, 2, 6, 8]]\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 trace (sum of diagonal elements) of the result:\nA =\n[[4, -3, -2, 1, -9, -9, -12],\n [-1, -6, -8, -12, 8, 11, -5],\n [5, 0, 4, -11, -7, 8, -9],\n [-5, 2, -8, 7, -2, -5, 4],\n [-4, 5, 1, 11, -4, -3, 11],\n [12, 7, -11, -10, 11, -8, -9],\n [-10, 6, -3, -6, -1, -5, -8]]\nB =\n[[11, 0, -4, -9, -11, -8, -11],\n [5, -7, -2, -3, -12, -11, 8],\n [-3, -8, -1, 6, 8, 12, -11],\n [-7, 2, -5, 3, 6, 5, 4],\n [-12, -2, -9, -7, -6, -5, 11],\n [-3, 4, -1, -5, -1, 4, -10],\n [1, -1, -8, 0, -2, 3, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "299", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[11, -5, -7, 7, 7, 11],\n [-10, 11, 7, -3, 12, 5],\n [-3, 0, 1, -12, 7, 2],\n [12, -1, 3, -6, 1, -4],\n [-4, -3, -4, 12, 3, 10],\n [-5, -11, 12, 5, 11, 5]]\nB =\n[[-1, 11, -10, -11, -7, -7, 4],\n [3, 10, 0, -1, -2, 2, 4],\n [7, 9, 11, -5, -6, -2, 8],\n [9, -5, 6, -7, 7, 6, 6],\n [-9, 9, 2, 4, 5, 7, -1],\n [-3, -4, -5, -5, -2, 10, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "572", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[9, 10, -7, -10, 2, -7, -6],\n [-7, -11, -7, -11, -12, 2, -3],\n [-3, -3, -8, -9, 12, 2, -4],\n [3, -4, 6, 1, -1, -1, -10],\n [6, -2, -8, -7, -7, 6, 1],\n [3, -1, 5, 9, 0, 7, -4],\n [5, -9, -2, 5, 8, -10, -9]]\nB =\n[[-4, 0, 2, -3, 8, -4, 3],\n [3, 0, -8, -3, 12, 11, -12],\n [-10, 8, -10, -3, 4, 5, 0],\n [-11, 3, -9, 9, 5, 1, -7],\n [-2, 4, -5, -10, 11, -10, 4],\n [-9, 6, -5, 4, 12, 12, 9],\n [-8, -2, -1, 8, 2, -1, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "197", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-6, 11, -10, -3, 3, -12],\n [8, -2, 4, 1, 5, -1],\n [3, -5, -10, -2, 2, -9],\n [3, 9, 11, 4, 1, -11],\n [9, 2, 11, -5, 0, -10],\n [-9, -9, -9, -11, 0, 9]]\nB =\n[[-5, -4, -12, -12, -4, -2],\n [3, -9, 2, -6, -11, -3],\n [4, -2, 10, 9, 6, -3],\n [-9, 0, -12, -6, -4, -12],\n [5, 5, 3, 9, 3, -8],\n [1, 9, -12, -7, -7, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "551", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-1, 5, 9, -4, 3, 2, 12],\n [-11, -8, 10, 8, 0, 6, -12],\n [3, -6, 0, 11, 9, 3, -1],\n [-6, 12, 1, 5, 8, 6, 0],\n [-11, 6, -9, 1, -11, 5, 11],\n [6, 6, -9, 8, 6, 9, -10]]\nB =\n[[-5, -9, 8, -10, -8, -2, 10],\n [6, 6, 4, -11, 7, -4, -10],\n [-3, 8, -4, 7, -9, 9, -6],\n [-1, -2, 9, 2, 7, 1, -6],\n [2, 1, -2, -3, 6, -10, -1],\n [0, -6, -1, 9, -11, -12, -7],\n [12, 6, 12, -7, 0, -9, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-389", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[3, -11, -4, 0, 8, 1],\n [1, -8, -11, -8, -7, -11],\n [-12, 3, 9, -4, 12, 1],\n [-4, -8, 2, -3, 2, 4],\n [-10, -5, 12, -9, -2, 6],\n [1, 5, 8, -11, -4, -3]]\nB =\n[[12, 0, 6, -9, 3, -1],\n [12, 3, 4, 3, -6, -11],\n [-4, -1, 0, 1, -1, -10],\n [9, 8, 3, 5, 12, -10],\n [9, -4, 2, -5, -3, 8],\n [9, -10, -8, -7, 1, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-217", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, 12, -6, -9, -10, 0],\n [-9, -4, 12, -7, -2, -4],\n [-4, 9, 8, 6, -12, -9],\n [-12, 0, 3, -1, -12, 2],\n [9, -8, 10, -12, 4, -5],\n [9, -5, 9, 9, 2, 10],\n [-1, 3, 5, -10, -9, 2]]\nB =\n[[1, -12, 12, 12, 7, 4, 4],\n [9, 5, -12, -11, 10, 3, 1],\n [7, 10, 10, 7, 5, -4, 1],\n [0, 1, 6, 4, -5, -9, -4],\n [11, -2, -6, 2, 12, 5, 7],\n [-8, 3, 8, -1, 4, 12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4720", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, 8, 6, 11, -6, 8, -1],\n [4, -6, -2, -12, 4, 12, 9],\n [-6, -11, -2, 3, 2, -5, 2],\n [-6, -8, -5, -11, -7, -9, -6],\n [-7, 9, -8, -8, 5, -2, 10],\n [10, -5, 7, -2, 12, 6, 6],\n [-11, -3, -6, -1, -11, -6, 6]]\nB =\n[[-12, -2, -5, -5, 1, 0, -3],\n [4, -7, 7, 8, 1, 11, -5],\n [-6, -8, -7, -5, 8, -10, -4],\n [12, -3, -12, -6, 7, -7, 0],\n [-6, -5, 8, -8, -1, -7, 10],\n [2, 8, 8, -9, 4, 1, -6],\n [10, 0, 9, -3, 5, -11, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "835", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 1) of the product matrix AB given:\nA =\n[[-1, 0, 12, 8, -6, 5],\n [9, -2, 9, -3, 9, -7],\n [1, 7, -8, 7, -7, -4],\n [-8, -8, 6, 0, 10, -8],\n [1, -11, 12, -8, 10, 10],\n [-1, 11, 7, -6, -10, -4]]\nB =\n[[2, 2, -5, 3, 12, -11],\n [7, -12, 11, -9, -9, 10],\n [-7, -10, -5, -11, 4, -1],\n [-1, 2, 5, -4, 8, -8],\n [9, -10, 4, 11, 10, -1],\n [1, -5, -4, -11, 8, -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 absolute values of all entries of the result:\nA =\n[[11, 3, 7, -2, 7, -3],\n [-5, -6, -12, 10, -3, 6],\n [-8, 11, 9, -5, 8, -4],\n [0, 1, -7, -2, -4, 0],\n [-9, -11, 11, 8, -11, 9],\n [0, 6, -12, -7, -5, 4]]\nB =\n[[-10, -7, 6, -6, 2, -7, 12],\n [9, 10, 5, -3, -9, -8, 5],\n [-3, -3, -3, -6, 7, 1, 12],\n [-5, -4, 11, -8, 12, 8, -5],\n [7, -8, 7, 5, -9, -2, 8],\n [9, 7, -2, 1, 0, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4324", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 10, 0, 10, 7, -8],\n [6, 8, -3, -8, 1, -9],\n [-7, -8, 11, -11, -7, -11],\n [-1, 9, -9, 0, 4, -7],\n [-10, 0, 10, -10, 7, -4],\n [10, -9, -11, -8, -5, -11]]\nB =\n[[12, -8, -7, -6, 0, -4, -6],\n [-9, -8, -10, 4, 6, 0, -12],\n [-8, 10, -4, -9, -3, 1, -3],\n [-12, 10, 6, 4, 7, 12, 2],\n [9, -7, -6, -12, -8, 7, 7],\n [-6, -11, 8, 10, -10, -11, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4222", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, 8, -1, -8, -9, 11],\n [3, 5, 0, 7, 8, -4],\n [3, -10, 4, 7, -3, 9],\n [10, 7, -9, 9, -12, 8],\n [3, -2, 6, -5, -8, 10],\n [11, -5, 5, 2, 5, 0]]\nB =\n[[2, 8, 0, -10, -1, -1, -3],\n [-12, 11, -7, 6, 11, 0, -12],\n [6, 12, -7, -12, 12, 10, 4],\n [4, 8, -2, 7, -1, 11, 0],\n [5, 9, 11, -12, -10, 4, -6],\n [4, 3, -1, 12, -5, -2, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "285", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[-1, -9, -4, 9, 8, 8, 4],\n [3, -1, 2, 2, -12, -10, -11],\n [4, -1, -8, -2, 6, 2, -6],\n [-5, -3, -7, 8, 2, -3, 8],\n [4, 9, -7, 6, 7, 7, -7],\n [1, 11, 0, 0, -4, -4, 8],\n [11, -5, -3, 7, -9, -10, 0]]\nB =\n[[8, -5, 11, -4, 1, -12, 1],\n [-1, -9, 9, 8, -9, 0, 3],\n [-2, -10, -11, 12, -10, 7, 4],\n [-12, 12, -2, 3, 7, -3, 7],\n [-7, -11, 9, -6, 4, -5, 0],\n [9, 12, -9, -2, -11, 12, -5],\n [5, -5, -2, 11, -8, -6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-22", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 3) of the result:\nA =\n[[-9, 9, -3, -7, 0, 3, 9],\n [12, -11, 11, 2, -5, 4, 1],\n [5, 1, -9, 8, 8, 9, 10],\n [-12, 10, -7, -8, 2, 3, 9],\n [-5, -7, -8, -7, 12, -12, 1],\n [6, 6, 12, 2, 6, -7, 12]]\nB =\n[[-8, 3, -4, 12, 2, 9, -5],\n [12, 12, -5, -9, 11, -11, 3],\n [-10, -4, -9, -11, 6, 10, 12],\n [2, -6, -5, -10, 10, 2, -12],\n [3, 9, -10, -11, 2, -9, 1],\n [-4, 9, -4, 1, 2, 11, -8],\n [11, -11, 11, 4, -2, 0, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-57", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-10, 10, 7, 0, 2, -2],\n [3, -6, -12, 10, 6, 5],\n [-4, 5, -10, -10, -9, 3],\n [-2, 10, 10, 2, -4, -5],\n [9, -7, 8, 5, -7, -7],\n [-1, -8, 1, -7, 8, 7]]\nB =\n[[6, 1, -12, 7, 12, 10],\n [-6, -6, 1, 7, 3, -1],\n [10, -2, 5, -1, 11, -3],\n [11, 12, -8, 11, -11, -3],\n [11, 3, 12, -7, -7, 7],\n [11, 10, -1, -4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3735", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 11, -4, -6, 12, -3],\n [11, 12, 12, -12, 6, 9],\n [-2, 10, 7, -3, -11, 1],\n [-1, -9, 9, 0, 7, -3],\n [-11, 12, 4, -3, 10, 3],\n [-4, 6, -2, -7, 12, 12]]\nB =\n[[-9, 3, -1, 11, 11, 3, 10],\n [9, -10, -1, 2, 7, -1, -4],\n [-3, 10, -5, 0, 9, 2, 4],\n [-1, 3, 12, -2, 6, 0, -10],\n [12, -9, 11, 2, 1, -2, 0],\n [7, 5, 0, 8, 6, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "786", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-10, 3, -12, -9, -4, 10],\n [0, 9, -3, -4, 7, -7],\n [6, -10, -3, -3, 11, 8],\n [11, 12, -11, 0, -6, 0],\n [1, 5, 1, 10, 0, 6],\n [-5, -9, -4, -1, 7, -11]]\nB =\n[[-9, 8, 11, 6, -4, -4],\n [-2, -3, -10, -5, 9, -2],\n [-7, 5, -5, 10, -11, 7],\n [-8, 12, -3, 5, -1, 10],\n [8, -11, -3, -1, 6, -8],\n [-3, -12, -6, -12, 9, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4112", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, -1, -6, -5, -10, 2],\n [-1, 4, -11, 4, 12, -9],\n [-6, 2, 8, 12, 3, 12],\n [-7, -8, 3, -12, 2, 7],\n [-8, 0, 1, 12, -11, -11],\n [6, 6, -1, 10, 4, -11],\n [-2, 4, 1, -4, 12, 6]]\nB =\n[[6, -12, -8, 6, -11, 1],\n [6, 11, -5, 4, -11, 4],\n [-5, 1, 4, -7, -2, -5],\n [0, -5, -6, 11, 11, -10],\n [-11, -1, -9, -8, 3, -11],\n [11, 11, 0, -9, -8, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-58", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[2, -8, -8, 3, 12, -4, 2],\n [-9, 4, 11, -12, 3, 10, 7],\n [4, -9, 10, 0, -5, 5, 0],\n [-4, -8, -2, 1, 11, 5, 5],\n [7, 3, -9, 6, -8, -11, 4],\n [-9, -7, 9, 5, -7, 7, 2]]\nB =\n[[-12, 4, -11, -9, 11, -10],\n [8, -10, 11, 1, 7, -5],\n [-5, -4, 5, -6, -3, -12],\n [-9, 7, -9, 10, 1, -8],\n [-8, 6, 8, -8, 11, -2],\n [-11, 2, 1, 1, -5, 7],\n [12, -5, -8, -8, 12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-294", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, -4, 9, -2, 4, -1],\n [-1, 11, 3, -12, 5, -7],\n [-8, 5, 0, -7, -6, -10],\n [-2, -5, -9, -3, -4, 10],\n [0, 6, 2, -8, 12, 0],\n [-1, -4, 11, -5, -4, 8]]\nB =\n[[0, -4, -7, -7, -2, -3],\n [1, -7, -6, -4, -10, -1],\n [3, 0, -7, 0, -8, -9],\n [-5, -10, -11, 7, 6, -6],\n [-1, -9, -3, -4, -1, -2],\n [8, 6, -11, -7, -7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2768", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-6, -1, 8, 10, -1, 7, 8],\n [10, -7, 1, 4, 4, 5, 0],\n [0, -2, -10, 4, -11, -11, -6],\n [9, 12, -3, 1, 8, 6, 4],\n [3, 4, 5, -2, 6, -2, -3],\n [1, 1, -3, 8, 10, -9, -3],\n [-7, 9, -2, 5, -7, 8, 2]]\nB =\n[[-7, 7, -12, -4, 1, -10, -12],\n [1, 1, -9, 1, 10, -9, -2],\n [7, -4, -2, 2, -7, 12, -1],\n [0, 5, 10, 10, 1, 11, -2],\n [12, 11, -11, 6, -11, 4, 10],\n [-5, -8, -2, 12, 7, -12, 7],\n [3, -8, 3, 11, -8, -3, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "680", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 4) of the product matrix AB given:\nA =\n[[9, 11, 6, -10, -4, 9, 7],\n [-5, -9, -2, -9, -1, 10, -6],\n [-5, -3, 10, 11, 0, 11, 1],\n [3, -6, 3, 4, 7, 6, -1],\n [-4, -5, -4, -8, 8, -3, -8],\n [1, 5, -6, -5, -8, 11, -7],\n [7, 10, 11, -4, 8, -4, -5]]\nB =\n[[4, 11, -5, 10, -12, 9],\n [5, 2, 9, 3, -11, 0],\n [-11, 1, -6, -2, 2, 4],\n [8, 4, 2, 3, -4, 8],\n [8, 7, 6, 11, 10, -4],\n [-7, -12, -8, -8, 10, -12],\n [-12, 9, -7, -4, 6, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-63", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 4, 9, 7, -1, -7, 0],\n [11, -5, -10, 12, -2, 7, -12],\n [12, 1, 8, 11, 0, 2, 10],\n [8, -5, 2, 0, -12, -2, 7],\n [2, 8, -9, -7, 12, -1, -12],\n [-3, 5, -12, -6, -11, 12, -5],\n [-12, 6, -7, -2, 6, 12, -3]]\nB =\n[[3, 3, -3, 5, 9, 5],\n [-10, -1, -3, 3, 12, -4],\n [5, 0, 11, 1, 6, 1],\n [-11, -2, -5, -10, 2, 0],\n [-5, 0, 3, 9, -12, -11],\n [0, 1, -11, 3, 1, -6],\n [9, 1, 5, 4, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-599", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[5, 3, -3, -7, 1, -11, -4],\n [0, 8, 10, 7, -1, -11, -10],\n [0, 8, -12, 7, -9, 5, 12],\n [0, -7, 12, -7, 2, 5, 4],\n [1, -9, -12, -5, -2, 0, 4],\n [8, 1, 12, 4, 7, 11, 11],\n [-12, -5, 6, -2, 10, -3, -12]]\nB =\n[[-8, 3, 7, 7, -8, 3, -10],\n [10, -11, 4, 9, -12, 3, 10],\n [11, -11, 7, -6, -2, -7, -11],\n [1, -9, 6, 12, 9, -11, -11],\n [0, 0, -10, 8, -7, 8, 4],\n [-12, -6, -6, 0, 9, -4, 5],\n [-12, -2, 9, 9, 12, -2, -3]]\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, 3) of the product matrix AB given:\nA =\n[[4, 4, -1, -3, -1, -7, 8],\n [-7, -7, 7, -5, -8, -7, -11],\n [4, -5, 9, -4, 8, -5, 10],\n [-2, -3, 4, 10, 7, 0, 9],\n [-4, 2, 0, 0, 0, 12, 12],\n [8, -9, 9, -3, 2, 8, -3]]\nB =\n[[8, -5, -3, 8, 4, -8, 0],\n [8, 8, 6, -1, -1, 12, 8],\n [-11, 8, -4, 11, 9, 12, 10],\n [-11, -12, 1, 0, -10, 7, 12],\n [-8, -11, 8, 5, -4, 9, -1],\n [-8, 5, 10, 10, -11, -3, 9],\n [-3, -10, 11, 1, -8, 11, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "276", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[0, 11, 4, -7, 0, -1, -10],\n [3, -8, -11, -2, -9, 9, -12],\n [0, 5, 3, -11, -4, -1, -8],\n [-8, 9, 0, 3, 6, -4, 3],\n [6, -9, 2, -4, 3, 11, -7],\n [-5, -12, 1, -9, -3, 3, -9]]\nB =\n[[-11, -11, 0, -2, -3, 12],\n [-7, -6, 2, 7, 6, -10],\n [8, 1, 9, -11, 10, 3],\n [10, 4, 2, 0, -1, -6],\n [7, 7, -10, -4, -10, 3],\n [7, -10, -5, -5, 11, 2],\n [-8, 0, 2, -6, -1, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "840", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -3, -11, -5, 9, 5, -1],\n [9, 5, 6, -8, 3, 4, -4],\n [-3, 6, -1, -12, 9, 4, -10],\n [-6, 7, -4, 10, -8, -4, 6],\n [-2, 1, 1, -5, 11, 7, -12],\n [-9, 3, 12, -12, 6, 11, -10]]\nB =\n[[-11, 4, 12, -2, -10, -6],\n [-3, -10, -5, 12, 11, -8],\n [-3, -1, 5, -7, -5, 5],\n [-7, 10, -4, 3, -2, 12],\n [-11, 4, 0, -6, 9, -3],\n [0, -3, -9, -2, -4, 3],\n [4, 10, -8, -8, -7, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3472", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[1, -2, 6, -2, 12, 7],\n [-7, 0, 6, -10, 12, 3],\n [-4, -10, 6, 2, 9, 0],\n [4, 8, 12, 12, -5, 9],\n [1, -4, -10, -4, 11, -1],\n [2, 4, -4, 11, -5, -7],\n [-4, 2, 11, 5, 9, -2]]\nB =\n[[11, 1, 0, 0, 9, 0, 12],\n [3, -1, 8, 11, 5, -1, -8],\n [4, 8, 10, -12, 0, -3, -10],\n [-7, 3, -12, 6, -5, -4, 10],\n [7, 10, -6, -2, 10, -5, -2],\n [1, 1, -9, 7, -4, -5, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[7, -7, 12, 3, 3, 1],\n [2, 9, 8, -1, 10, 5],\n [11, -2, -6, -7, -10, -4],\n [2, -11, -9, -11, -7, -1],\n [-6, -4, -7, 9, -8, -9],\n [-3, 7, -9, -8, 4, 5]]\nB =\n[[-10, 10, 0, -12, 6, 10],\n [9, -11, -9, 3, 3, 4],\n [8, -1, -11, 11, -3, -7],\n [-1, -1, 4, 5, -9, -10],\n [12, 4, 10, -4, 12, 9],\n [-1, -6, 3, -5, -10, 8]]\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[[0, 7, -4, -4, -9, 1],\n [5, -12, 6, -11, -8, 9],\n [1, -4, 7, 7, 2, 7],\n [-12, 6, -9, 1, -12, -8],\n [-3, -4, 4, 1, -6, 5],\n [-3, 12, -9, 1, -10, 10]]\nB =\n[[9, -2, -3, -5, -4, 10],\n [-7, 1, 11, -4, 1, -5],\n [-7, 11, 12, -7, 9, -11],\n [12, 11, -8, -10, 12, -2],\n [-6, -4, 0, 3, 10, -1],\n [-5, 1, 1, -8, -3, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-391", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[11, 1, 10, 4, -9, 11],\n [2, -2, -4, 2, 9, 7],\n [-11, 12, -12, 8, 11, 7],\n [4, -9, -8, -8, 1, -12],\n [-11, 9, -3, -8, -4, 0],\n [10, 8, 0, -4, 1, 4]]\nB =\n[[-10, 5, -1, 10, -4, 3],\n [0, 5, -1, 9, -11, 6],\n [-12, -7, 5, -10, 9, -7],\n [-9, 4, 10, 5, 9, -6],\n [-11, 2, 9, 4, -7, -5],\n [-5, -6, -9, 7, -8, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3667", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[1, 7, 12, -10, 12, 5],\n [9, 2, 8, -8, 2, -7],\n [-3, 10, 7, 2, 7, -4],\n [-9, -5, 0, 4, -9, -11],\n [-8, -11, 3, 10, 10, 2],\n [12, -9, 2, -8, -10, 1],\n [-6, 2, -8, -4, 0, -6]]\nB =\n[[-9, -6, -12, 2, 2, 5, 2],\n [-10, -8, -8, 3, 10, 12, -3],\n [12, 9, 10, 0, 2, -5, 7],\n [-6, 1, -7, -5, 2, 4, -8],\n [-1, 0, -10, 12, 12, 6, 2],\n [5, 8, 7, -6, 1, 11, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-306", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[6, 12, 11, -2, -6, -2],\n [-5, 11, -3, 11, -2, -12],\n [7, -3, -6, 9, -10, 6],\n [-9, -7, -12, -9, 12, -6],\n [-2, -7, -8, -1, -11, 5],\n [9, -4, 1, -1, -4, -12]]\nB =\n[[-6, -6, -3, -11, -9, -5, 9],\n [1, 0, 3, -6, -3, -2, -2],\n [-7, 12, -1, -3, -4, 9, -7],\n [-4, 12, -10, -6, -10, 7, 12],\n [-5, 9, 9, -5, 0, -11, 1],\n [-8, 0, 10, 0, 6, 11, -10]]\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 (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[1, -9, -3, -7, -7, -11, -11],\n [6, -10, 7, -9, -9, -2, -10],\n [4, -4, 1, -11, 1, -10, -11],\n [9, 9, -12, -9, -3, 2, 8],\n [-1, -7, 8, -10, -10, 6, 9],\n [7, -9, 6, 1, -9, -5, 6]]\nB =\n[[6, 9, -12, 9, 2, -2, -4],\n [-10, 5, 6, 3, 3, -10, 5],\n [0, 7, -5, -6, 12, 11, 10],\n [9, 6, 7, 11, -1, 5, 2],\n [-1, -7, 4, 10, -9, -1, 4],\n [8, -8, -7, 2, -5, 7, 3],\n [0, 10, 2, 7, 0, 2, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "110", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[11, 8, 7, 5, -6, 8],\n [-4, -6, -4, -1, -3, -3],\n [0, -8, 9, -5, -3, -7],\n [-2, -9, -11, -7, 0, -1],\n [1, 12, -5, -10, -8, 9],\n [-6, 5, -7, 5, -5, -6]]\nB =\n[[-11, -9, 10, -4, 3, 6, -3],\n [-5, 3, 12, -5, 7, -9, 10],\n [7, 0, -3, 10, 12, -4, 12],\n [-1, 2, 9, -12, -1, 11, 1],\n [9, 10, -11, -10, -7, 6, 8],\n [0, 7, 8, -5, -9, 12, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-590", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -6, -12, 6, 4, -5],\n [8, 2, 7, 6, -6, 11],\n [11, 0, -12, -6, -8, 5],\n [-5, 2, 5, -7, -8, 9],\n [-2, -5, -4, 0, -10, -10],\n [-6, -10, -2, 1, 8, -3]]\nB =\n[[7, -4, -1, -5, -1, -4],\n [9, 5, 11, 4, -2, 8],\n [-11, 10, 8, 6, 1, 10],\n [-10, -7, -9, -1, -11, 12],\n [-7, -8, -8, -5, -8, 11],\n [-5, -12, 7, -4, 1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3987", "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, -9, 4, 3, -6],\n [-1, 4, -8, -5, 7, -8],\n [-2, 6, 8, 6, -9, -2],\n [6, -8, -11, 12, 6, 4],\n [8, 7, 5, 2, 3, -1],\n [-5, 12, -7, 11, 5, -2]]\nB =\n[[-7, 4, -3, 6, 2, 3],\n [10, 4, 9, -6, 6, -5],\n [-5, -8, -2, -11, 5, 8],\n [-9, -1, -9, -8, 4, 10],\n [6, -3, 1, 2, 1, 3],\n [-5, -4, -5, -2, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2830", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, 10, -1, -9, 0, 8, 3],\n [-3, 8, -2, 12, -1, 5, -11],\n [6, -8, 7, -3, 3, -1, -4],\n [-10, -12, -8, -5, 4, -12, 0],\n [-7, 2, -6, 11, -5, -10, 2],\n [-9, -4, -2, 8, 1, -4, -1],\n [-8, 8, 12, -7, 6, -8, -12]]\nB =\n[[12, -3, 1, 10, 4, -2, -9],\n [5, 6, -9, -1, 1, 5, -12],\n [7, 12, -2, 12, 12, 6, -12],\n [-12, -10, 1, -5, 2, -9, -2],\n [-5, -6, 11, -11, -5, 12, 9],\n [6, 10, -4, 3, -5, -5, -2],\n [-6, 8, -11, 8, -8, 5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-491", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[4, 8, -7, 0, -6, -2, 5],\n [-7, -1, 11, 9, -10, 6, -2],\n [10, -11, -10, 10, 12, 4, -8],\n [-11, -1, -8, 0, 9, 11, -6],\n [8, -2, -8, 5, -7, -10, -7],\n [3, -10, 5, 11, -9, -8, -4]]\nB =\n[[-9, -12, 9, -2, -8, -3, -10],\n [2, 1, -8, -5, 4, 7, 6],\n [-9, -11, -11, -11, -10, -4, -8],\n [7, 2, -9, -10, -4, -3, 4],\n [9, 7, -5, 10, 6, -8, -2],\n [-9, -9, 2, -5, 12, 0, 7],\n [-1, -11, -12, 1, 7, -5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "476", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (4, 7) of the product matrix AB given:\nA =\n[[-8, -11, 2, -9, -9, -3, 8],\n [5, -6, -8, -9, 11, 2, 5],\n [4, -7, 11, 10, 12, -12, -10],\n [-4, -8, -7, 0, 10, -10, 10],\n [-10, 9, 11, 10, -8, -1, 9],\n [7, 5, -6, 7, 9, -1, -11],\n [3, -11, 9, -5, -12, 1, -3]]\nB =\n[[10, 9, 8, 0, -3, 0, 0],\n [11, -12, -8, 3, -7, -9, -3],\n [-2, -11, 11, 8, 9, -4, 1],\n [-11, -8, -1, -12, 6, 9, 11],\n [-1, 8, -1, 7, -8, 7, -11],\n [1, 4, 11, 2, 4, -11, 8],\n [-5, -3, -10, -2, -4, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-83", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[-2, -10, -6, 10, -6, -9],\n [-7, 6, 1, -9, 6, 6],\n [4, 8, 6, -1, 4, 2],\n [-4, 7, 12, 3, 5, 5],\n [-9, -9, 8, -12, -8, -1],\n [1, -3, 5, 8, -3, 3],\n [-7, -10, 7, 2, -8, -7]]\nB =\n[[12, 12, 9, -1, -12, 9],\n [-3, -10, 8, -8, 2, -9],\n [6, 4, 10, -5, -8, 11],\n [-9, 11, 6, 11, 9, -4],\n [0, 8, 4, -5, 6, -2],\n [8, 1, 5, 10, -8, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3724", "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, 3, 3, 1, -6, 8, 8],\n [-4, -10, 1, 11, -12, 1, 7],\n [5, -10, -7, -9, -12, 8, -10],\n [5, 7, 7, -10, 8, 8, 3],\n [11, -6, -4, 10, -11, -10, 9],\n [-12, 11, 10, -7, 8, 2, -8],\n [0, -5, 11, 0, 6, -4, -10]]\nB =\n[[1, 11, -6, 0, -4, -2, -4],\n [-2, 1, 2, 4, -12, -10, 10],\n [-10, -10, -9, 11, 4, 7, -9],\n [0, 11, -6, -9, -5, -2, 6],\n [-6, -4, 9, -9, -9, -12, -7],\n [-10, -10, -12, -6, -4, -10, 10],\n [12, 2, -10, 12, -2, 5, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6625", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[7, -6, -4, 4, -4, -3, 0],\n [-8, 1, -9, 1, -2, 9, -3],\n [-8, 8, -1, 8, 2, 11, 0],\n [-5, -9, 0, 2, -4, 11, -7],\n [5, -4, 9, 11, -7, 8, -6],\n [-1, -9, -2, -10, -6, -11, -3]]\nB =\n[[-10, 4, -2, -12, -11, 0],\n [1, 4, -11, 4, 6, 12],\n [-4, 11, 12, -1, 3, -9],\n [11, -2, 8, 7, -9, -11],\n [-3, -4, 12, 4, -1, -9],\n [-4, 1, -9, -11, 5, 0],\n [-3, 1, -4, -2, 7, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-323", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, 4, 4, -5, 4, 8, 12],\n [7, 12, 8, 0, 12, 0, 2],\n [5, 0, -5, -6, 10, 6, -3],\n [-1, -11, 1, -3, 4, 0, -12],\n [10, 12, 2, -12, 2, 7, 2],\n [1, 0, -11, -5, -4, 6, 6]]\nB =\n[[10, -4, 10, -6, 1, -11],\n [-1, -2, 4, -11, 9, -1],\n [2, -5, -5, 9, 5, 1],\n [12, -3, -9, 3, 3, 8],\n [4, -4, -2, 0, -12, -6],\n [-2, 12, -10, -11, 1, -3],\n [11, 7, 4, -5, 2, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "241", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, 7, 9, -11, 9, 2, 3],\n [-11, 9, 1, 12, 10, 7, -12],\n [-4, 4, 8, 1, 10, -3, 0],\n [0, 9, 6, -5, -6, 12, 4],\n [-5, -9, -6, 10, 7, 11, 4],\n [-8, 7, -9, 6, -12, 8, 11]]\nB =\n[[-3, -7, -1, 4, -8, 9],\n [-4, -4, -8, 6, 9, 11],\n [-2, -1, -8, -5, 4, -5],\n [-11, 10, 5, 6, 8, -3],\n [-6, -4, -1, -1, -8, -2],\n [4, 2, -2, 2, 3, 6],\n [8, -1, -10, -5, 11, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "691", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 11, -9, -7, -3, 2, -5],\n [1, -11, 11, 10, 7, 8, -7],\n [-10, -11, 1, 5, 2, -9, 3],\n [10, -1, 4, -12, 7, -4, -1],\n [-8, 4, -10, -7, -10, 9, -7],\n [8, 0, 8, 12, 6, 2, -6],\n [0, 7, -11, 6, 6, -10, -10]]\nB =\n[[-7, 0, 1, -7, -4, 11],\n [-3, 3, 10, 2, -1, 0],\n [5, -11, 1, 4, 10, 10],\n [-12, 9, -2, 1, -1, 10],\n [1, 4, -1, -7, -4, -1],\n [4, 3, -11, 5, 3, -3],\n [6, -9, -6, 3, 6, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-476", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 3) of the result:\nA =\n[[-8, -8, 10, 10, -6, 12],\n [4, -12, -10, 3, 9, -11],\n [12, -12, 8, -6, -3, -10],\n [5, -10, -6, 2, -12, 11],\n [6, -8, 8, 9, -6, -2],\n [-12, 9, -11, 1, -3, -10],\n [1, -8, 4, -6, -12, 11]]\nB =\n[[-2, -7, 3, 1, 4, 2],\n [1, -6, -3, 6, -6, 2],\n [11, 1, 2, 6, 8, 3],\n [-11, -11, -12, 3, 6, -9],\n [-10, -2, 11, 4, -8, 10],\n [-4, -12, 12, -4, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "107", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (7, 4) of the product of the following matrices:\nA =\n[[2, -3, -8, 3, -7, 3],\n [-9, 9, 8, 2, -10, 6],\n [-4, -8, 3, -10, -5, 11],\n [1, -10, 3, -6, -4, -10],\n [-5, -1, 4, 1, 3, 6],\n [-9, -10, 0, -4, 0, -1],\n [8, 2, -10, -10, -11, -7]]\nB =\n[[12, 3, 10, 5, -4, -10],\n [10, 10, 3, -9, 1, -9],\n [5, 5, 5, 8, -10, -6],\n [0, -6, 9, 0, 11, -9],\n [3, 12, 2, 0, -3, -3],\n [-8, -9, 6, 2, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-72", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-9, 12, -2, 4, 8, -12],\n [-4, -1, 10, -1, -3, -4],\n [8, 12, 7, 3, 0, -10],\n [5, -9, 6, 12, 0, 0],\n [-1, 11, -12, -11, -10, 9],\n [8, 8, 9, 0, -1, 3],\n [1, 11, 1, 4, -8, -7]]\nB =\n[[-3, 9, -4, -6, -9, 10, -6],\n [-2, -7, 3, 3, 11, 11, 0],\n [-1, 9, -11, 8, 0, -12, -3],\n [-3, -2, -4, -9, 4, 6, -3],\n [0, -11, -4, -6, -3, -1, 9],\n [7, -2, -9, -1, -1, 10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "698", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (4, 4) of the result:\nA =\n[[7, 1, -6, -10, 12, 6],\n [1, 6, -3, -1, 5, 6],\n [11, 5, 0, 4, 8, 11],\n [-7, 3, 5, -4, 0, -9],\n [0, -10, -9, 6, 11, -12],\n [-12, -4, 10, 12, -10, -10]]\nB =\n[[5, -11, -2, -4, -11, 7, -9],\n [-4, 1, 6, 3, 1, 2, 5],\n [2, 6, -4, 8, 8, 3, 10],\n [4, -3, -8, -4, 1, 9, 11],\n [-3, 11, -12, 11, 9, 7, -10],\n [3, -8, 0, -8, 10, 12, -2]]\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[[4, 12, -10, 9, -7, 3],\n [7, -11, -8, 6, 7, 9],\n [-2, 10, 5, -10, -1, 10],\n [0, 8, 7, 7, -4, -4],\n [-6, -12, -12, 6, -10, -6],\n [-1, 3, 0, 5, 11, 4]]\nB =\n[[11, -4, 1, -8, -2, 7, -7],\n [-7, 11, -5, -12, -4, -3, 4],\n [-10, 10, 8, 9, 0, -5, 7],\n [1, 7, -5, 6, 0, -7, -9],\n [-7, 7, -11, -3, -2, -2, -10],\n [-2, -5, 4, 9, 12, -12, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-411", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 6) of the product of the following matrices:\nA =\n[[7, -6, 9, 9, 12, -5, 0],\n [-8, 5, -1, 3, -10, -1, 6],\n [7, 5, -5, 11, 0, -5, -3],\n [1, 2, 8, 2, -7, 1, -7],\n [10, -12, -3, 6, -2, -10, 10],\n [-7, -4, 12, -4, -9, -10, 7]]\nB =\n[[6, 10, -2, 6, 4, -5],\n [-7, -8, -5, -5, -10, 6],\n [3, -3, 10, -10, -4, -5],\n [-5, 12, -5, 7, -6, 1],\n [9, 4, -1, -8, -11, 12],\n [2, -2, 2, 0, 6, -1],\n [2, -1, 10, 5, 10, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-205", "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, 2, 12, 11, 12],\n [-8, -8, 7, 12, -3, 11],\n [9, -3, 9, -7, -7, 10],\n [-7, 11, -6, 5, -9, 1],\n [-2, -6, 5, 7, -11, -11],\n [-6, -2, 5, 7, -6, 9]]\nB =\n[[7, 12, -8, -11, 1, -6, -3],\n [5, -5, 10, 3, 1, -4, -7],\n [-6, -4, -6, -4, 11, 8, -6],\n [-1, 10, 4, 7, 8, -1, 9],\n [10, -8, 5, -8, -8, -6, -10],\n [-12, -7, -6, -5, 1, 10, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5024", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-6, -6, -12, -4, 12, -6, 12],\n [7, -6, 5, 1, 9, 2, 5],\n [-3, -10, -2, -12, 10, -11, 3],\n [-10, 4, -10, -2, -9, -6, 9],\n [3, 4, -2, -9, 12, -10, 9],\n [3, -11, -8, 12, 5, -10, -11]]\nB =\n[[-11, 9, 9, 8, -11, 3, -12],\n [6, 6, -4, 7, -4, -2, -12],\n [6, 4, -7, -12, 5, -4, -12],\n [-9, 9, 5, 4, 7, 6, 10],\n [10, 1, -6, -4, 12, 7, -4],\n [2, -2, -6, -7, -4, -9, 4],\n [-7, 4, 12, 1, -8, 5, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4493", "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, -2, 9, -10, -11, 1, -9],\n [4, 4, 8, -4, 8, 9, -4],\n [-10, -9, -11, 1, 7, -5, 5],\n [-9, -5, -6, 12, 2, 2, -11],\n [-9, 12, 9, 12, -4, 10, -6],\n [11, 5, -1, 1, -6, -7, 10]]\nB =\n[[9, 6, 8, 6, 9, 2],\n [6, -1, -11, -2, 0, -9],\n [12, -12, 11, 8, -11, 1],\n [12, 5, -2, -2, 6, 4],\n [4, -11, -11, 0, -7, 2],\n [-2, 11, -9, 6, 1, 5],\n [4, -5, 0, 10, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3550", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[3, 5, -1, 10, -1, -7, 11],\n [-7, -9, 11, -12, 4, -9, 4],\n [-8, 12, -4, 12, -7, -1, 4],\n [8, -3, -11, -12, 0, 8, 8],\n [-12, 0, 10, -10, -2, 9, 3],\n [5, 12, -11, 5, 4, -12, -9],\n [10, 7, 8, -7, 8, -8, 7]]\nB =\n[[-4, 8, 12, -9, 12, -8],\n [-5, 4, 2, 7, 0, 2],\n [-9, 5, 6, 11, -5, 1],\n [-12, -11, 7, 9, -10, 3],\n [10, -10, 11, -7, -5, 10],\n [-1, -8, -8, -10, -9, 11],\n [-8, 12, -10, -3, 6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5619", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, 10, -7, 10, -6, -7],\n [0, 0, 12, 8, -8, -7],\n [-3, 7, -3, 12, 3, 5],\n [-10, 12, -12, 8, -10, 6],\n [-12, -5, 6, -9, 3, -8],\n [-8, -11, 10, -7, -6, 2]]\nB =\n[[-3, -3, 6, 11, 3, 9, 10],\n [-4, 11, -5, 6, -12, 4, 5],\n [11, 2, -7, 9, 4, 5, 8],\n [6, -11, 12, -6, 4, 2, 3],\n [4, -10, -3, -7, -11, -2, -5],\n [1, -1, 7, 11, -6, 5, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, -7, 0, -11, 6, -5],\n [-2, 8, 3, -12, 12, 3],\n [-1, 4, -4, -7, -6, 0],\n [4, -3, -2, 1, 4, 3],\n [-8, 5, -2, -3, 8, 8],\n [9, 12, -7, -3, -2, -12],\n [-8, -11, -2, 1, 11, 0]]\nB =\n[[10, -2, -7, -11, 6, 12],\n [-4, 10, 5, 1, 0, -1],\n [-1, 0, -6, 3, 4, -4],\n [1, -4, -7, -12, 11, 9],\n [12, 12, 10, 7, -12, 6],\n [9, 2, 4, 7, 11, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1171", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 9, -10, 10, -1, 11, 2],\n [5, 0, -8, 9, 4, 8, -10],\n [6, -7, 4, -8, 8, -8, 6],\n [9, -2, -12, 0, 4, -2, 5],\n [-9, 12, -3, 11, -2, 5, -12],\n [-9, -8, -11, 9, 11, -1, -2],\n [8, 3, -9, -6, 8, 11, 10]]\nB =\n[[8, 0, 1, -2, -5, -12, -5],\n [6, 4, -4, 0, 9, 2, 0],\n [-5, -1, -2, 7, 0, 3, -11],\n [-7, 3, 5, 4, 2, -6, 1],\n [-6, -7, -1, -11, 8, -12, 5],\n [-8, 8, -6, 2, 8, -7, -11],\n [8, 11, 4, 0, 0, 1, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-813", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 3) when matrix A is multiplied by matrix B?\nA =\n[[-5, 2, -2, 0, 8, 7, -12],\n [12, -11, -2, 1, -8, -6, 11],\n [3, -2, 2, -9, -3, -12, -6],\n [-1, -2, -2, 12, 4, -12, 2],\n [10, 12, 8, 7, 9, 12, 5],\n [8, -9, 6, -8, 1, 10, 0],\n [6, 6, 3, 9, 8, 6, -12]]\nB =\n[[-3, -11, 2, 6, -9, 8, 12],\n [-9, -1, 12, 8, 6, 10, 11],\n [-4, 12, 9, 3, 2, -4, 6],\n [5, 8, -6, 3, 2, 10, -2],\n [-7, -10, 1, -7, 4, 6, 5],\n [7, 3, 11, -10, -7, 4, 7],\n [-8, 8, 3, 4, 3, 12, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-173", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 4) of the product of the following matrices:\nA =\n[[-4, -6, -8, -4, 8, -3, 12],\n [8, -12, -6, 8, -8, -7, -7],\n [10, 2, -5, -12, -3, -10, 9],\n [3, -12, 3, 1, -8, 3, 8],\n [12, -2, 5, -6, 12, -5, 4],\n [1, 4, -1, 5, -12, 11, -6]]\nB =\n[[-7, 2, 5, -2, 12, 4],\n [-12, -11, -6, -3, 1, -1],\n [4, 1, 6, -3, 11, -1],\n [-6, -5, 0, -7, -5, -8],\n [-4, -2, 0, -12, -6, -7],\n [-5, -11, 4, 4, 5, 8],\n [-6, 2, 0, 12, 7, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[1, 2, -10, -7, -4, 1],\n [3, 4, -1, -9, -8, -2],\n [9, -2, -5, 5, -7, -6],\n [-7, 1, 7, -7, -9, 12],\n [0, 4, -1, -4, 7, -10],\n [-2, -8, -10, 4, 11, -4],\n [-7, 5, -7, -7, 9, -3]]\nB =\n[[-2, 1, -1, 12, 7, 5],\n [11, 9, 2, -3, -12, 2],\n [9, -11, 7, -11, -9, 10],\n [11, 1, 6, 1, 0, -12],\n [-3, 1, 4, 3, 2, -2],\n [10, -1, -12, -10, -2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "27", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-2, -8, 2, 7, 11, 3],\n [-10, -5, 3, 3, 9, -9],\n [2, 6, 2, 0, -3, -11],\n [-7, 4, -5, 3, 8, 0],\n [10, -1, 3, -6, -3, -7],\n [-8, 5, 3, -10, -10, -8]]\nB =\n[[-11, -12, -9, -3, 0, -10],\n [-2, -10, -3, 9, -4, -3],\n [0, 5, 8, 5, 9, 4],\n [4, 12, -8, -4, -1, -1],\n [11, 12, 12, 11, 6, -6],\n [7, 11, 10, -1, -4, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "880", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 1) when matrix A is multiplied by matrix B?\nA =\n[[6, 8, -10, -2, -1, 12, 4],\n [-6, 12, -10, -6, -6, 1, -11],\n [3, 8, -3, 1, -6, -11, -3],\n [-11, 0, 9, -11, -3, 1, 4],\n [6, -1, 4, -7, -9, -11, 2],\n [10, 10, 11, 3, -1, -6, 0]]\nB =\n[[-12, 6, 0, -12, -11, -12],\n [-1, 12, 10, 12, 11, -3],\n [-11, -12, -8, 10, -11, -9],\n [10, 1, -4, -7, 10, 11],\n [-1, -1, 11, -4, 2, -3],\n [-11, 10, 5, -6, -4, 7],\n [8, 8, 5, -10, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (2, 6) of the product of the following matrices:\nA =\n[[4, -10, 8, -4, 4, 3, -7],\n [5, -7, -7, 4, 8, -3, -11],\n [-12, -2, 12, -7, -12, 3, -4],\n [-1, -4, 0, -6, 12, -12, -10],\n [11, -10, 11, 6, -9, -1, -9],\n [8, -3, -9, 10, -2, -9, -2],\n [4, 8, 11, 9, 7, 7, 0]]\nB =\n[[4, 0, 4, 6, 7, 2],\n [-9, 5, -2, -4, 3, 11],\n [-10, 5, 4, -3, 12, -8],\n [11, 2, 7, 5, -8, 11],\n [2, -7, -5, -10, -8, 5],\n [2, -1, 6, -6, -12, 11],\n [8, -11, 6, 0, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-15", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-3, 0, -8, 10, 0, -4, -12],\n [9, -7, -12, 5, 3, -5, -7],\n [0, 4, 0, -3, -7, 10, 5],\n [7, 10, 0, 2, -7, -2, -5],\n [1, 0, 9, -11, -12, -8, -2],\n [-3, -1, -3, -4, -11, 10, 12]]\nB =\n[[-9, -9, 8, -7, -1, -6, 12],\n [9, 6, -11, 9, 12, 6, -9],\n [-10, 10, -9, 1, -7, -7, -4],\n [-8, -6, 0, -12, 11, -11, 7],\n [-3, 10, -7, -9, -5, 1, 3],\n [2, 0, -1, -6, 2, -7, 8],\n [8, 1, 2, 10, -2, 9, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "550", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[10, -8, 10, 10, -11, 7],\n [2, -3, -9, 10, -5, -2],\n [4, -6, -2, 9, -3, -12],\n [-5, -8, 0, -6, 11, 10],\n [-2, -1, 1, -1, -12, -7],\n [-2, -2, -1, -12, 7, 7],\n [11, -7, 10, 0, -1, -3]]\nB =\n[[10, -6, -3, 5, -7, 11, -5],\n [7, 10, -4, 3, 11, -11, -2],\n [11, 6, -9, -10, 2, -5, -9],\n [-2, 4, -4, 12, -12, -5, -11],\n [10, 0, -12, 9, -3, -1, -2],\n [-3, 1, 1, -5, -2, 9, -4]]\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[[2, -12, 12, 6, 5, -1],\n [-5, -8, 0, 4, -12, -11],\n [-6, -11, 12, 9, -9, 0],\n [1, 7, -10, -4, 5, 12],\n [3, 6, 7, -4, 6, -7],\n [-1, 2, 8, -7, -8, 1],\n [6, 5, 0, -4, 7, 9]]\nB =\n[[12, 8, -6, 8, -1, -4, -11],\n [-10, -8, 5, 1, 9, 6, 8],\n [-8, -3, 3, 11, 12, 7, -12],\n [8, -9, -8, -2, 1, 12, 11],\n [-2, 11, -5, -12, -6, 0, 7],\n [-7, -9, -1, -8, -8, 4, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "103", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (6, 7) when matrix A is multiplied by matrix B?\nA =\n[[-3, 3, 11, 8, 1, -3],\n [9, 8, 4, -8, -11, -9],\n [5, -5, 1, 0, -6, -4],\n [-9, -8, 2, -4, 12, 5],\n [1, 2, -12, 6, -12, -7],\n [-5, -9, 3, -2, -9, -2]]\nB =\n[[-3, 4, -4, -3, -5, 1, 0],\n [-10, 1, 1, -10, 3, -3, -9],\n [7, 5, -9, -11, -2, 2, -2],\n [10, 8, 10, -7, 5, 5, -12],\n [0, -12, 0, 8, -8, 10, 4],\n [3, 8, 5, -3, 4, -6, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "59", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, -4, 8, 8, -8, 12],\n [-3, 0, -12, 8, -7, 12],\n [-10, 4, -1, -2, -5, 12],\n [-1, -2, 9, -8, -5, -1],\n [9, -7, -4, 12, 4, -11],\n [-12, 5, -10, 1, 0, -11]]\nB =\n[[9, -9, 2, -8, -3, -4, 5],\n [-10, 1, -3, 4, 2, 5, 4],\n [12, -10, 3, 6, 0, 10, 4],\n [12, 10, 3, -4, 11, 8, -1],\n [-10, -4, 3, -8, 12, 6, 9],\n [0, -11, 6, 5, -1, 5, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4481", "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, 7, -5, 9, 3, -11],\n [0, -12, -8, 10, 8, -1],\n [-9, -8, -2, -3, -5, 8],\n [-4, -6, 1, -2, 5, 12],\n [5, 9, -5, -11, 9, 8],\n [-6, -8, 1, 1, -10, -7],\n [10, 4, 11, -5, 7, 11]]\nB =\n[[-10, 2, -8, 6, -11, 8, -5],\n [-4, -8, -10, -1, -10, 11, 6],\n [3, 12, 3, -12, 4, 8, 7],\n [-10, 4, 10, 4, 3, -7, 5],\n [1, 7, -5, 6, -4, 8, 9],\n [5, -12, 8, 4, -9, 3, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6290", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 0, -11, 9, -1, -3],\n [2, -8, -12, -5, 8, 12],\n [5, -7, 10, -12, 1, -3],\n [-9, 5, 10, 6, 12, -5],\n [-1, -3, 0, -6, 11, 4],\n [-1, -7, 10, -6, 0, 1]]\nB =\n[[12, 10, 10, 0, -7, 6, 0],\n [9, -4, -2, -3, -10, 6, -6],\n [10, -8, 11, 11, 2, -11, -2],\n [-7, -8, 7, -6, -9, -8, 11],\n [-8, 12, -3, 5, -11, 2, -4],\n [-11, -10, 9, 7, 11, 11, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "235", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, 6, 1, 5, 8, -12, -6],\n [-5, -1, -9, 10, 12, -6, 5],\n [5, -3, -3, -7, 11, -1, -3],\n [0, -1, 6, -12, -12, -2, 5],\n [9, -11, -7, 3, -12, -4, 2],\n [3, 1, -6, -12, 3, -4, 12]]\nB =\n[[-2, -3, -2, -7, -11, 5, -1],\n [1, -5, 12, -9, 5, 8, 0],\n [10, 1, 7, 12, 2, 7, 11],\n [6, 1, -1, 9, 2, -7, 6],\n [-11, -7, 10, 10, -2, -12, 9],\n [-4, 0, -4, 2, 5, -9, 9],\n [-9, -1, -4, 5, -7, 4, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4682", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 6) when matrix A is multiplied by matrix B?\nA =\n[[4, 0, -1, 1, -5, 2],\n [-4, -12, 4, -3, 10, -8],\n [-2, -10, 12, -11, 9, -9],\n [8, -11, -12, -4, -10, -7],\n [1, 12, -12, -1, 8, 3],\n [7, 6, 5, 1, -10, 1]]\nB =\n[[4, 0, -12, -5, 8, -11, 6],\n [2, 1, 1, 5, 2, -3, 5],\n [7, -9, -6, -11, -4, 10, -9],\n [-1, 10, -3, -2, -12, 0, -6],\n [-7, -4, 11, 5, -10, 0, -10],\n [0, -7, 5, -11, 7, 4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "136", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 1) when matrix A is multiplied by matrix B?\nA =\n[[4, -8, -4, -9, 1, -5, 10],\n [0, -7, 1, -4, 4, -6, -4],\n [2, -3, 1, 3, -11, -9, 8],\n [2, -2, 8, -2, 10, 11, 0],\n [3, -4, 8, -11, -11, -8, -8],\n [-8, 1, -7, 3, 3, -5, -8]]\nB =\n[[0, -10, -4, -9, -5, 3],\n [12, -2, 10, 6, -3, 9],\n [-6, -1, 10, -5, -3, -8],\n [-8, 0, -11, -1, -2, -11],\n [2, 7, -6, -5, -10, 4],\n [7, -7, 9, 12, 2, 0],\n [10, 0, -1, 1, -4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "41", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-8, 8, -8, 8, 7, -7],\n [-1, 4, 3, 5, 12, 9],\n [-7, -3, 7, 8, -4, -11],\n [-10, -3, -5, -4, 8, 6],\n [-12, -11, 7, -9, 3, 8],\n [12, -1, -11, 2, 5, 3]]\nB =\n[[8, -1, 5, 1, 8, -1, -8],\n [10, -9, 5, 11, 4, 3, -3],\n [4, -1, -1, 10, -9, -10, -12],\n [-1, -5, -5, -1, -9, 3, -11],\n [-9, 10, -9, -2, -10, -3, -1],\n [4, -4, 8, -11, 9, 5, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3907", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-7, 12, 5, 0, 2, -12, 10],\n [-5, 5, 7, 11, -1, 7, -1],\n [12, -12, -3, 10, 6, 6, -2],\n [10, 9, -10, 1, 5, -7, 10],\n [-4, 12, -4, 4, -9, -9, 11],\n [6, 3, 4, -10, 9, -6, 12]]\nB =\n[[-8, 8, -10, -1, 6, -4],\n [-10, -10, 3, 12, 7, 0],\n [-7, -12, -2, 5, -10, 5],\n [-2, 2, -10, -1, 8, -1],\n [4, -12, -2, 10, 12, 2],\n [-4, -6, -2, 5, 10, 12],\n [-6, 5, 2, 3, 2, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3712", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 5) of the product of the following matrices:\nA =\n[[-9, 11, -10, 1, 8, -10, 10],\n [3, 2, 6, -3, 8, 4, -9],\n [9, 5, 9, -3, 10, 3, 11],\n [-10, -1, 6, 8, -10, -4, -6],\n [3, 8, 8, -12, 12, 2, -11],\n [3, -6, 1, 10, -11, 11, 11]]\nB =\n[[12, 5, -12, 3, -4, -10, 0],\n [-11, 5, -11, -5, -10, 4, 11],\n [-11, -7, -5, 12, 4, 12, 11],\n [-7, -1, 8, 3, -7, -11, -10],\n [-4, 6, -3, 10, 0, 7, 0],\n [12, 7, 2, 0, 0, -7, 5],\n [-6, -10, -12, -1, 10, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-42", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-1, 10, 3, -12, 8, 5],\n [-12, 9, -8, -9, -12, 2],\n [-8, -6, 4, 7, -7, 0],\n [11, 10, 2, -6, 11, -6],\n [0, -9, 9, 5, -5, 6],\n [3, 7, 5, 3, 3, 12]]\nB =\n[[-11, 1, 9, 6, 3, 9],\n [-9, 0, -5, -10, 11, -10],\n [-8, -2, 0, -11, -7, -6],\n [11, -9, -4, 5, 1, 11],\n [-7, 7, -11, -9, 2, -10],\n [-9, -9, 2, -2, 10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-648", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[2, 12, 8, -10, 10, 10, 11],\n [-3, -9, 0, 12, -11, -7, 6],\n [11, -5, -7, 7, 1, -5, -7],\n [-1, -4, -6, 12, 0, 3, -5],\n [1, 3, 7, -7, 10, -9, -9],\n [-10, -3, -7, 5, 0, -2, -9]]\nB =\n[[-5, -10, -1, 0, 11, 10],\n [10, -2, -4, -9, -2, -5],\n [5, -10, -9, 12, 4, 3],\n [-6, -11, -8, -12, 9, 0],\n [-1, 6, 9, -5, -5, -1],\n [-9, -6, 3, 9, 5, -7],\n [5, -9, 8, -4, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-447", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (2, 6) of the result:\nA =\n[[-1, 3, -8, -11, -10, 0],\n [8, -6, 0, 3, 9, 1],\n [5, 0, 1, -4, -5, 12],\n [12, -8, 10, -6, 3, -3],\n [12, 12, 9, -10, 11, 4],\n [-3, -2, 7, -3, 5, 8]]\nB =\n[[10, -12, -9, -10, 7, -7],\n [-7, 4, 6, 4, 4, 4],\n [-10, 1, -11, -9, 10, 5],\n [-11, -1, 2, 0, -2, -6],\n [-4, 2, -10, -3, -5, -7],\n [1, -7, 6, -4, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-154", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[3, 0, 0, -1, 9, 8, 7],\n [-11, -9, -6, 6, -10, -2, 6],\n [12, 1, 4, -8, 12, 1, -6],\n [-1, 4, 7, 9, 8, 5, -12],\n [-2, -9, -1, -8, 2, 7, -10],\n [2, -5, 9, -2, -1, -10, -7],\n [-5, -6, 4, 3, 9, 4, 0]]\nB =\n[[-9, -3, 3, 6, -6, 5, 0],\n [-9, 8, 5, 3, 12, 5, 3],\n [9, 11, 10, 9, 11, 8, -4],\n [-11, -7, 10, 12, 8, -7, 12],\n [-7, 1, -2, 4, -9, -9, 6],\n [11, 9, 10, 3, 12, -5, 6],\n [7, -12, -9, -1, 12, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-185", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-11, -7, 7, 9, -10, -10],\n [-12, -4, -6, -4, -12, -5],\n [5, -10, 4, -6, -2, -8],\n [0, -2, -10, 0, 7, -7],\n [9, 2, -11, 10, -11, 12],\n [1, -11, -8, 3, -5, -5]]\nB =\n[[-2, 0, 2, -9, 10, -5],\n [3, 3, 11, 8, -3, -11],\n [5, 8, 3, -9, 7, 6],\n [12, -5, 7, 10, -5, 1],\n [3, -7, 5, -5, 6, -9],\n [-9, -6, -5, -4, -12, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "88", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 7, -3, 11, 8, -12, 5],\n [1, 6, 5, 12, 0, -6, -11],\n [-6, -3, 4, 8, -8, -4, -9],\n [7, 9, 2, 1, 5, -3, 3],\n [9, 10, 7, -3, -4, 3, -8],\n [6, 12, -12, 11, -12, 11, -8]]\nB =\n[[-6, 11, 2, -2, -1, 4],\n [4, 10, 4, -9, 9, -11],\n [-3, -8, -3, -3, -2, -3],\n [-2, -7, 8, -3, -5, -2],\n [7, 11, 6, -6, 8, -1],\n [8, -7, -1, -8, 0, 4],\n [-4, 7, 8, 4, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-367", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-5, -5, 12, 2, -6, -7, 3],\n [-5, -10, -3, -3, 11, 6, -11],\n [-4, -12, -3, 5, 10, -12, -1],\n [-8, 12, 12, -2, 7, 1, 2],\n [-11, 12, -9, 6, 0, 6, 0],\n [10, -1, -11, -8, 5, 10, 10]]\nB =\n[[6, -10, 11, 10, -9, 5],\n [-1, -10, -2, 1, -10, -8],\n [-6, 7, 4, 6, -10, -12],\n [-5, 7, -8, -10, 7, 4],\n [0, 0, -9, 5, -7, -11],\n [2, 12, -11, 7, 7, 3],\n [-2, 4, 10, -12, 0, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3868", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-10, 1, 11, 11, 1, 8, 1],\n [6, -2, -1, 12, -12, -12, 1],\n [5, 9, -11, -9, 9, 5, -9],\n [10, 4, 3, 3, -4, -3, -6],\n [-4, 10, 3, 4, 10, 12, 11],\n [3, 3, 7, 8, 6, -3, -11],\n [-10, -6, 11, -11, 12, 0, -9]]\nB =\n[[2, 5, -6, 5, -6, 11],\n [-4, -1, -12, -11, 5, 1],\n [10, -7, -2, 12, 6, -5],\n [8, -8, 8, 11, -6, 10],\n [-9, 2, 9, -12, 9, -8],\n [4, 0, 4, 6, -9, 4],\n [-1, 10, 5, -2, -9, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5403", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-4, 11, 5, -4, -12, -7],\n [6, -12, -5, -7, -9, -10],\n [0, -11, 0, 8, 2, -5],\n [-1, -5, 6, -4, -3, 8],\n [10, 12, -6, -3, -10, -11],\n [-6, -3, -5, -1, 7, 4],\n [9, -4, 7, -10, 9, 9]]\nB =\n[[-9, -6, 5, 4, 9, -10],\n [-10, 0, 4, 5, 6, 4],\n [11, 3, 3, 9, 12, -12],\n [1, 2, -9, 7, 8, -2],\n [5, 4, -4, 8, 11, 1],\n [-10, 7, 7, 9, -9, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-785", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 2) of the product of the following matrices:\nA =\n[[8, -1, 8, -5, -4, -2, 11],\n [-8, -1, 9, 7, -11, -2, -2],\n [8, -12, 4, 4, -9, 1, -8],\n [-9, -7, 5, 8, 0, -7, 2],\n [-8, -7, 11, 5, -6, -7, -5],\n [12, 11, -8, -9, 6, -3, -4]]\nB =\n[[10, -12, 6, -1, 6, 0],\n [9, 2, -11, 7, -1, 5],\n [8, -9, 7, -1, 7, 0],\n [-9, 1, 8, 5, -7, -12],\n [-3, 5, 6, -11, 2, -10],\n [-5, 6, -2, 1, 3, -3],\n [4, 2, -2, -5, -5, -6]]\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, -1, 8, 3, 3, -3],\n [9, 9, -6, -9, 11, -11],\n [-4, 2, 9, 1, -1, 4],\n [4, 0, -5, -3, 0, -6],\n [-10, 11, 2, 11, -6, -8],\n [-5, 8, 4, -5, -6, -6]]\nB =\n[[-11, -2, -1, -1, 6, -10],\n [-1, -7, -7, 6, 8, -4],\n [10, -4, 5, -3, -3, -12],\n [5, 9, -3, -6, -5, -2],\n [9, -7, 6, -4, -2, -11],\n [-2, -8, 6, 4, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2391", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[1, -3, 4, -2, -11, -3, 8],\n [-12, 1, -2, -2, -3, 7, 8],\n [-8, -8, 1, 12, 12, -8, -7],\n [11, 3, 10, 2, -7, 7, 3],\n [6, 7, 0, 6, 0, -5, -7],\n [9, 4, -8, -5, 5, 6, -1],\n [12, -1, 0, -9, -3, 3, -8]]\nB =\n[[-1, 3, 10, 2, 8, -11],\n [10, 3, -2, 9, -4, -11],\n [5, 0, 0, -5, -3, 4],\n [11, 8, -12, 3, -2, -12],\n [-7, -1, 3, -2, 5, -11],\n [4, 4, 7, 8, -9, -7],\n [11, 2, -2, 5, 4, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3637", "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, -2, 7, -6, 5, 4],\n [0, 8, 1, -4, 0, -7, 9],\n [-12, -12, -9, 1, 5, 3, -10],\n [-7, -12, -2, -3, 5, -9, -7],\n [6, -4, -3, 7, 10, -8, 9],\n [12, 3, 12, 9, -11, -4, -2]]\nB =\n[[-11, 5, -11, 1, 10, -9, -5],\n [-5, -12, -12, -9, 5, 6, -3],\n [5, -3, -4, 9, -6, -7, -12],\n [-8, 6, 2, 11, 1, -6, -4],\n [-1, 4, 5, -11, 4, 11, 7],\n [-6, -3, 2, -12, 11, -2, -5],\n [-1, -10, 12, 2, 8, -8, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5704", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[4, -11, -12, 5, 12, -4, -8],\n [7, 0, -11, 9, 0, 12, -5],\n [-3, 7, -7, -2, 1, 12, -3],\n [-3, -2, -9, 12, 11, -10, -4],\n [-8, -12, -2, -5, 8, -8, -11],\n [-4, -7, -2, -3, -1, -10, -6]]\nB =\n[[5, 10, -1, -2, -11, 8, -3],\n [0, 0, 2, 12, 0, -4, -7],\n [-10, 7, 7, -4, -9, 7, -8],\n [9, 11, -1, 4, -8, 12, -9],\n [-5, -4, 4, 11, -5, -8, -3],\n [5, 10, 1, -8, 2, -8, 9],\n [-1, -3, -5, -12, -10, 3, 10]]\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[[-2, -4, -3, -11, 7, -2],\n [7, -2, -6, 8, -2, -8],\n [10, -1, 5, 11, 9, -8],\n [2, -1, -12, 5, -7, -7],\n [-2, 12, -2, 3, -7, -12],\n [10, 3, -10, 11, -7, -10],\n [6, -5, 9, -11, 6, 2]]\nB =\n[[9, 1, 1, 10, -9, 11, 6],\n [9, -6, 3, -5, 2, 7, -8],\n [9, -12, -1, -4, 6, 5, -6],\n [-2, -2, 7, 7, 2, 12, 10],\n [12, 4, -10, -2, 0, -7, 1],\n [-2, 0, 4, 1, 8, 1, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1371", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 7) when matrix A is multiplied by matrix B?\nA =\n[[-9, 1, 1, -6, 3, 1, -8],\n [-6, 4, 2, 12, 11, -6, -3],\n [5, -2, 9, 1, -9, -10, 11],\n [1, 7, -10, 8, 12, -10, 12],\n [7, -1, -3, 7, 5, -1, 11],\n [-9, 6, 6, 4, -5, -2, -8],\n [-8, 0, -9, 0, 3, -1, 1]]\nB =\n[[8, 8, -4, -7, 12, -5, 3],\n [6, -11, -7, -11, 6, 6, 0],\n [4, 8, -5, -4, 10, -8, -5],\n [-4, 3, 3, -1, 12, 12, -2],\n [5, 0, -10, 5, -2, -2, -8],\n [-10, 12, -11, 2, -8, -8, 8],\n [3, 4, -6, -11, 1, 5, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 1) of the product of the following matrices:\nA =\n[[-1, 4, 12, -7, -8, 8],\n [8, 9, -6, 12, 5, 7],\n [-2, -8, -7, -6, -10, -10],\n [12, 12, -11, 7, -9, -8],\n [-11, 3, -1, 2, -9, -10],\n [1, 0, -7, -9, -12, -10],\n [11, -1, -10, 10, 5, 1]]\nB =\n[[-8, 10, -12, 1, -1, -12, 11],\n [-11, -1, 0, 7, 2, 3, 6],\n [-8, -11, -7, -5, 8, -6, 8],\n [0, -7, -4, -1, -3, -2, -12],\n [-3, 12, 3, 6, -3, 2, 1],\n [-10, -9, -5, -12, 7, 2, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "190", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-1, -10, 10, -8, 12, -5, -2],\n [6, -1, 7, -6, 1, -11, 9],\n [12, -1, -4, 9, -1, -7, -7],\n [9, 6, 7, -7, 4, 4, 10],\n [4, 8, -3, -2, -5, 9, 1],\n [6, 5, 2, 5, 7, 12, 12],\n [4, -8, 12, -9, -2, 3, -6]]\nB =\n[[3, -7, 7, -3, -2, 2],\n [-1, 10, 3, 10, 5, -6],\n [1, -4, 9, -7, -2, 0],\n [9, 5, -1, -7, 9, -4],\n [5, 12, 8, 2, -4, -3],\n [-11, 1, 8, -2, 0, -11],\n [8, -6, 2, -6, -1, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-220", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 1) of the product of the following matrices:\nA =\n[[-8, 2, -6, 9, 10, 8, -11],\n [12, -11, 6, -4, -11, 1, 2],\n [11, -1, 6, 2, -7, 12, -3],\n [-3, -10, -4, 10, -8, 11, 9],\n [-6, 6, -3, -2, -7, 6, -6],\n [3, 9, -1, 11, 11, 9, 5]]\nB =\n[[1, 3, -7, -12, 0, -7, -7],\n [-7, -1, -4, 7, -6, -10, 11],\n [2, -11, 5, 8, -12, -12, -2],\n [-10, 9, -3, -1, -7, 11, -6],\n [4, 4, -9, -12, -12, 4, -2],\n [-10, -3, -11, 3, 3, -5, -6],\n [-3, 11, -9, -4, -8, -6, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-210", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, -1, 3, 3, -5, 12],\n [0, -4, -3, -5, -12, -10],\n [-8, -6, 3, -5, -12, 8],\n [-10, 10, -7, -1, 2, 4],\n [5, 8, 8, 4, -1, 3],\n [-1, -9, 12, -4, 2, -8],\n [10, -2, 5, -12, 3, 5]]\nB =\n[[0, 7, 3, 9, 3, -10, 5],\n [10, 11, 12, -2, 0, 11, -11],\n [-10, -12, -12, 2, 9, -10, -9],\n [-1, 11, 8, -1, 1, -2, -7],\n [12, 1, -11, -10, 8, 5, -5],\n [-11, 7, 3, 1, 6, 7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1402", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-7, -1, -3, -4, -10, -12],\n [1, -5, 10, 5, 8, -1],\n [-1, -3, -9, 12, 7, -8],\n [-5, 6, 9, -7, 3, 10],\n [-4, -2, -10, 1, -8, 8],\n [8, -7, -12, 0, -4, -10],\n [-7, 7, 10, -5, -9, -7]]\nB =\n[[-1, -1, -6, 3, -6, 12],\n [11, -10, 0, 7, -4, -2],\n [-6, 10, 2, -12, -11, -12],\n [2, -9, -9, 1, -8, 8],\n [-12, 2, -6, 3, 9, 11],\n [1, 2, 2, 7, -12, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-121", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[12, -6, 5, 2, 0, 6, 5],\n [-9, 5, -9, 3, 1, 1, -6],\n [0, 11, 1, -3, 0, -7, -2],\n [12, -7, -2, 6, 4, 12, -10],\n [-12, 3, -1, 1, 5, -10, 11],\n [-5, 5, 3, 2, 9, -11, 3],\n [10, -3, -2, 6, 11, 6, -3]]\nB =\n[[9, 4, 11, 10, -12, -6],\n [3, -2, 8, 5, -12, -11],\n [9, -11, -7, 11, -5, 9],\n [8, 7, 1, 9, 8, 7],\n [9, 12, 12, -5, 4, 12],\n [-8, -10, 11, 11, 12, 5],\n [-3, -9, -3, 5, 0, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5147", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[4, 1, 6, 5, 10, -5, 5],\n [3, 12, -2, 4, 5, 6, 5],\n [1, 4, -5, 2, 4, 8, -2],\n [-7, 10, 6, 3, -1, 2, -2],\n [-6, 11, -3, 6, -8, 4, 12],\n [11, 6, -9, -12, 1, 4, 1],\n [-7, 9, 12, -8, -10, 9, 11]]\nB =\n[[2, -6, -2, -3, 1, -10],\n [1, 4, -9, -7, 7, -8],\n [-3, -6, 2, 8, 8, 5],\n [-12, -9, -2, -3, 0, 11],\n [6, 9, -3, 5, -4, -4],\n [7, -1, 11, 1, -11, -3],\n [5, -7, -11, 4, 5, 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 trace (sum of diagonal elements) of the result:\nA =\n[[8, 1, 9, -2, 6, 3],\n [-5, 5, -10, -9, 8, -8],\n [9, -9, -6, 11, 7, 12],\n [-7, 11, 12, 4, 1, -8],\n [2, 10, -3, -11, -1, -2],\n [-6, -6, 6, 12, -6, 1]]\nB =\n[[-1, -3, -8, 10, -6, -7],\n [7, 11, -11, 0, 3, -5],\n [0, 1, -8, 10, -10, 1],\n [10, 12, 10, 0, 4, -4],\n [-6, 5, 8, -2, 3, 5],\n [-6, 12, -9, 6, 9, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-52", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of absolute values of all entries when matrix A is multiplied by matrix B?\nA =\n[[11, 11, 8, -2, 0, -7, 0],\n [-11, 9, 1, 0, -8, -10, 11],\n [-9, 1, 5, -2, 6, -11, -11],\n [-10, 10, 3, -12, -3, -7, 4],\n [6, -1, 7, 3, 11, -11, 2],\n [10, 6, -12, -7, 5, 6, 9],\n [-10, -8, -10, -6, -6, -12, 9]]\nB =\n[[0, 0, 2, 6, -6, 4, -3],\n [6, 5, -5, -5, -4, 0, 12],\n [0, -11, -6, -6, 7, 9, -12],\n [1, -7, 0, -12, 8, 7, 9],\n [8, 8, -10, 2, 5, 10, -3],\n [2, -5, -8, -4, -12, 6, -5],\n [-8, 5, -4, -12, 6, 1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4615", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the trace (sum of diagonal elements) of the result:\nA =\n[[-9, -6, 7, -2, -11, 5],\n [-3, -12, 10, 1, 12, -3],\n [5, -6, 11, 6, -9, 1],\n [-4, -9, -7, 11, -11, -12],\n [10, 4, -9, -8, 5, 0],\n [7, -2, 10, 7, -12, -1]]\nB =\n[[0, -9, -1, -7, 0, 1],\n [-1, 8, 7, -11, 9, -1],\n [-7, 9, -9, 11, -12, -5],\n [-5, 8, 12, -1, 12, -9],\n [3, 1, 1, -11, 4, 11],\n [-5, -6, 0, -2, 6, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-105", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-3, 11, -2, 3, -5, -11],\n [1, 4, 4, -2, -12, 6],\n [-12, 11, 11, 12, -9, 11],\n [-6, 7, -12, -2, 0, -10],\n [11, -5, -1, -11, 10, -12],\n [7, 1, 2, 10, -9, 7],\n [-6, -12, -8, 1, -7, 10]]\nB =\n[[-6, -1, -6, 5, 9, 3, -4],\n [-6, 10, 1, -11, 0, -6, 12],\n [6, -11, -7, -1, -11, 4, -1],\n [7, -4, 1, -10, -10, 9, 3],\n [-7, -5, 0, 9, -5, -5, -6],\n [-8, 7, -12, 0, 9, -5, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5233", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[7, -6, 6, 8, -6, 3, -1],\n [-2, 12, -4, -6, 7, 9, 1],\n [-9, -10, -4, -8, 11, -10, 12],\n [-12, 5, 0, -9, 5, -4, -6],\n [2, 0, -11, -2, -9, 9, 5],\n [12, -10, -11, -1, -9, 1, 3]]\nB =\n[[8, -9, -1, 6, 6, -1],\n [2, -10, 6, 9, 2, 7],\n [10, -6, -9, -12, -4, -6],\n [9, -8, 12, -4, -7, 11],\n [10, -1, 0, -12, 2, 3],\n [-11, -4, -3, 7, 3, 2],\n [-10, -11, -5, 3, 10, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-164", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-10, 4, 0, 3, 12, -8, -8],\n [-10, 0, -5, -5, 4, 2, -9],\n [9, 12, 5, -6, -3, -12, -9],\n [-2, 2, 2, 10, -10, 6, 7],\n [11, 1, -10, -5, -3, -4, 11],\n [2, 11, -4, -9, -1, 6, 11],\n [-12, 1, -3, -12, -9, -3, -10]]\nB =\n[[3, 5, 12, -1, 8, 6, -4],\n [11, 7, -8, -8, -5, -6, 6],\n [9, 9, 5, 2, -12, -6, 6],\n [-8, -5, -8, -8, -8, -2, -6],\n [-11, 4, -2, 7, -8, -6, -12],\n [-4, -2, -1, -3, 7, 9, -2],\n [-12, 12, 7, -8, 2, 11, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "525", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[-3, -1, 1, 6, -3, 11, 9],\n [-1, 5, 8, 6, -9, 12, 6],\n [8, 1, -5, 12, 10, -9, 12],\n [3, -1, 5, -1, 5, -9, 3],\n [5, 6, 3, 8, -10, 4, -10],\n [0, -7, 6, -4, 6, -2, -10]]\nB =\n[[2, 3, -10, -8, -6, 8],\n [-4, 9, -12, 12, 6, 11],\n [1, 2, -10, 11, -9, 4],\n [1, 9, -6, -5, 3, 9],\n [3, 1, 4, -8, -4, -10],\n [8, 9, -8, 7, 5, 8],\n [-3, -12, 4, -5, 7, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "380", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[5, -8, -6, -8, -3, -7],\n [-6, -10, -3, 8, 11, -7],\n [-11, 12, -11, -7, 5, -3],\n [-6, 4, -9, -1, -5, -4],\n [-3, 6, -4, 11, -9, 3],\n [-12, -3, 3, 8, 10, 8]]\nB =\n[[-8, 8, -10, 9, -9, -3, -11],\n [7, 9, -7, 1, 12, 11, -8],\n [6, 7, 8, 2, 4, -1, 12],\n [0, 7, 11, 8, 3, 2, -2],\n [-8, 5, 11, 0, -2, -3, 2],\n [-6, -1, 5, -7, -4, 3, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "191", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-1, 6, 10, 3, -9, 7, 3],\n [-6, 0, 10, -1, -12, -2, 4],\n [-7, -11, -10, -11, 5, 11, 11],\n [0, 9, 6, 8, -6, 8, 3],\n [10, 3, -3, -6, 7, 3, -3],\n [1, 9, -4, -9, -1, 4, -5]]\nB =\n[[-9, -5, -4, -1, 3, -5, 2],\n [4, 0, 1, 2, -4, 8, 11],\n [-1, 9, 10, 6, 12, -4, 0],\n [5, -9, 7, -12, 7, -10, -2],\n [-11, -7, -10, -3, 12, -4, 1],\n [3, 11, 11, 5, 9, -9, 5],\n [-11, -3, -1, -6, 3, 4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2189", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[11, 8, 11, 5, -12, -11, 1],\n [-7, 2, -9, 11, 12, -4, 2],\n [-8, -7, -2, 0, -1, -6, 7],\n [-1, -3, -10, -11, 7, 12, 8],\n [-12, 8, -7, 0, -3, 0, 9],\n [-8, -5, 8, -2, 6, 6, -9]]\nB =\n[[-3, 11, -4, -6, 5, -4],\n [-7, -7, 0, 9, 4, 2],\n [-4, -7, 10, 4, -8, -10],\n [12, 3, -11, 7, -10, -4],\n [6, 1, 1, 4, -5, 4],\n [4, -6, -4, -9, -3, -9],\n [8, -8, -11, 2, 12, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-437", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-4, -4, -12, 11, 11, -1, 0],\n [7, 0, 1, -3, 4, 4, 1],\n [4, 6, -10, -9, -2, 3, 0],\n [5, -2, -2, -4, 12, 10, -11],\n [-10, 1, 3, -5, 12, 3, -9],\n [-4, -9, 0, -11, 10, 12, 5]]\nB =\n[[11, 9, 12, -8, 4, 8, -3],\n [10, 10, -9, -7, 9, -3, 4],\n [-8, -6, -8, -5, -12, 12, -11],\n [3, -5, 8, 2, 10, -2, 3],\n [-6, 4, 11, -10, 2, -9, -10],\n [-2, -11, -6, 2, 1, 8, -6],\n [4, -3, 5, 1, -7, 9, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1307", "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, 4, 6, 7, 4, 1, -6],\n [6, 11, -6, -1, -7, -5, -4],\n [5, -3, 12, 8, 3, 4, -12],\n [-6, 9, -4, -1, -12, -3, -3],\n [-3, -6, 11, 2, -3, 3, 3],\n [7, -12, -2, 6, 5, -10, 2],\n [-7, -3, -10, -3, 3, -9, -12]]\nB =\n[[9, 5, -9, -8, 8, -9, 6],\n [7, 6, -10, 7, 0, 12, 12],\n [11, 7, 5, 12, -7, 11, 7],\n [11, -7, -7, 9, 12, 4, 4],\n [-8, 4, -4, 7, -11, 6, -4],\n [-5, 6, 0, 11, -9, -7, -9],\n [-2, 8, -3, 3, 12, 5, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4931", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[6, 8, 10, -1, 1, 5],\n [7, -12, 0, -10, 1, 9],\n [5, 11, 10, 6, -12, 2],\n [3, -3, 7, -9, -2, 3],\n [-8, 6, -2, 5, 2, -11],\n [11, 0, 10, -1, 1, -12],\n [-1, 0, 12, -10, -10, -12]]\nB =\n[[-2, -9, -2, -11, 6, -1, 0],\n [4, 6, -9, -7, -10, -2, 9],\n [-1, -1, 5, 1, -2, 11, 8],\n [4, 9, 3, -10, -9, -5, 11],\n [-2, 0, 11, -1, -8, 3, -12],\n [-4, 1, 12, -5, -10, 9, -6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5693", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-9, 2, -1, 10, -4, 9, 5],\n [9, 0, -10, -6, 6, -5, -2],\n [-8, 3, -10, -12, 8, -3, -3],\n [3, -2, 6, 7, 0, 2, -3],\n [-9, 6, 2, -7, 9, 4, 0],\n [7, 4, 2, -6, 10, 9, -2]]\nB =\n[[5, 7, 6, -5, 5, -3, 5],\n [4, -4, -10, 2, 11, 10, -1],\n [4, -7, 11, 9, -4, -3, -10],\n [-7, 0, 1, -9, -3, 6, 3],\n [11, -6, 10, -8, -1, 2, -12],\n [9, -7, 6, -8, -4, -6, 11],\n [-4, 9, 3, -8, -3, 8, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3473", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[2, 2, 0, 7, 5, 10],\n [-6, -5, -5, -2, 11, -4],\n [-7, 7, -11, -8, 9, 10],\n [9, -9, 7, 2, -6, -12],\n [6, 5, -11, 10, 8, 0],\n [1, -10, 3, 12, 1, 2]]\nB =\n[[12, -10, -11, -10, -4, -5],\n [6, 7, 8, 7, 2, -1],\n [1, 5, 12, -11, 8, -2],\n [12, 11, -12, 6, 1, -4],\n [-10, 1, 7, -10, 10, 12],\n [-9, 12, -11, -11, 12, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (5, 5) when matrix A is multiplied by matrix B?\nA =\n[[10, 8, 8, 0, 12, 7, -2],\n [1, 4, 9, 2, 1, 6, -11],\n [-9, 12, -5, -1, 0, 10, 5],\n [4, 0, -1, -6, 3, 1, -8],\n [-2, 11, 8, 8, -5, -4, 5],\n [-5, -6, -5, 2, 6, -9, -6],\n [8, 10, 9, -9, 2, -11, -1]]\nB =\n[[-7, -7, 1, -7, -12, -7, 5],\n [8, 3, 10, -12, 8, 12, 6],\n [5, -11, 6, 4, 5, 9, 11],\n [-9, 5, -8, -1, 2, 2, -10],\n [8, -10, -2, 7, 8, 1, -6],\n [5, -7, 9, -7, 10, -2, -10],\n [8, 1, -1, 12, 1, 2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "93", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[10, -4, 6, -1, -6, 4, 1],\n [2, 1, 10, 6, 6, 1, 10],\n [-5, 0, -9, -1, -12, -8, -9],\n [3, 12, 6, 7, 6, -10, 3],\n [-6, -8, 8, 7, 11, -12, -2],\n [12, 12, 8, 4, -1, 5, -11]]\nB =\n[[9, -3, 12, 6, 3, -5, -11],\n [-8, -9, 8, -9, -12, 2, 0],\n [4, -7, 11, 10, 7, 0, 8],\n [11, 9, 11, 9, 11, -1, -1],\n [7, -3, -11, 2, 6, 8, -9],\n [8, 1, -12, -12, 5, 2, -2],\n [5, 11, -3, -9, 1, 9, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4785", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-12, -6, -9, -9, 5, -4, -11],\n [-8, -7, -10, 6, 9, 8, -8],\n [8, -4, 11, 7, -7, -8, -7],\n [2, -2, 11, 9, 9, 5, 10],\n [6, -1, -1, -6, 3, -1, 8],\n [-9, -3, 4, 2, -5, 1, 5]]\nB =\n[[-5, 1, 10, 3, 6, -6],\n [4, -8, 0, 5, 5, 6],\n [10, 5, 7, 7, 4, 10],\n [-9, 4, 6, -5, 7, -12],\n [-6, -5, -8, -4, -6, -9],\n [12, 9, -5, -11, -8, -10],\n [-8, 11, 9, -12, -6, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-734", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[3, -12, 4, -9, 3, -4, -5],\n [6, 9, 4, -3, 4, 9, 8],\n [3, 9, -4, -8, -11, 1, 4],\n [0, 0, 0, 5, 11, -12, 9],\n [8, 12, -9, 8, -8, -2, -11],\n [-11, 12, 3, -10, -7, 7, -9]]\nB =\n[[-8, 8, -6, -6, 4, -7],\n [-9, -11, -7, -6, -11, 5],\n [-3, -6, -4, 6, 6, 11],\n [-11, 12, 10, 11, 12, -1],\n [6, -7, 11, -12, 2, 9],\n [6, 1, 11, 12, 0, -8],\n [-11, 2, 3, -6, 9, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-461", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (5, 7) of the product of the following matrices:\nA =\n[[4, -12, -7, -7, -9, -5],\n [-4, 9, -3, 11, -5, -11],\n [7, 4, -12, 1, 9, 10],\n [-8, 11, -4, 7, 4, -7],\n [-12, 5, -2, -9, 7, -7],\n [-5, 6, 2, 9, 6, -11],\n [-9, -9, -1, 5, -1, 6]]\nB =\n[[12, 12, 2, -3, -6, -11, 0],\n [3, 8, -5, -12, 4, 2, 9],\n [10, 1, -6, 6, -3, 7, 12],\n [-2, 7, 8, 9, 10, -8, -6],\n [-1, -11, -6, 8, -8, 9, -1],\n [12, -9, 8, 8, 6, -10, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "40", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (1, 3) when matrix A is multiplied by matrix B?\nA =\n[[-9, -4, -11, -3, 7, 12],\n [-4, -5, 5, -2, 6, 9],\n [5, 6, 4, 7, 9, 4],\n [2, 3, 4, -5, 10, -6],\n [10, 8, -9, -6, -2, -10],\n [12, -11, -12, 11, -7, 1]]\nB =\n[[-9, 3, -3, 12, -8, -2, -12],\n [4, 1, -6, 1, -12, -7, -6],\n [-2, -3, 8, -10, 6, -11, -1],\n [-1, -12, 1, -2, -5, -4, 5],\n [0, -9, 3, -10, -9, -9, -5],\n [-2, -10, 6, -7, -10, 8, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "53", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 4) of the result:\nA =\n[[-9, -11, 3, 12, -8, 2],\n [-8, 10, -1, 6, 2, -7],\n [-12, -8, 8, 12, 8, 11],\n [6, -2, 9, 1, 1, -11],\n [12, 9, -8, -4, 4, 6],\n [2, -11, -4, -2, 9, -7],\n [2, 8, 7, -9, 2, 5]]\nB =\n[[-6, 3, 9, -10, -1, -6],\n [-4, -3, -12, -1, 11, 5],\n [-12, 12, 5, 10, -6, 4],\n [0, -3, 1, -12, 10, -7],\n [-9, 6, 2, 8, 8, 6],\n [9, -1, 1, -10, -9, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "18", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (6, 4) of the product matrix AB given:\nA =\n[[-1, 9, -4, 6, 3, -12],\n [1, 0, 10, -1, -8, 7],\n [-10, 10, -11, -2, 7, -11],\n [3, -5, -10, 8, -9, 8],\n [-9, -5, -7, 1, 2, 4],\n [-8, -12, -1, 6, -1, -2]]\nB =\n[[9, -4, 6, -9, 0, -3, -12],\n [-3, 5, 0, -6, -5, 4, 12],\n [9, -12, 3, 7, -9, 10, 4],\n [0, -3, -4, 1, 4, -10, -12],\n [-12, 7, -11, 3, -4, 1, -12],\n [-10, 5, -12, -2, 12, -8, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "144", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-7, 11, -6, 0, 10, 3],\n [12, -10, 2, -5, 9, 11],\n [7, 3, 4, 0, -10, -10],\n [0, 4, 1, -8, -1, 3],\n [-7, -4, 3, 11, -9, -7],\n [6, -12, 12, -5, -7, -10]]\nB =\n[[8, 1, 12, 10, -11, 3, 9],\n [0, 12, 3, -2, -2, 3, -3],\n [4, -1, -8, 12, -1, -10, 6],\n [-3, 3, 12, 6, -2, 12, 3],\n [-3, 2, -10, 11, -3, -1, -4],\n [6, -12, 0, 12, -6, 9, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-17", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, -6, 12, -7, -1, -9, 7],\n [-3, 6, -11, -9, 2, -7, -12],\n [5, -5, 0, 6, 3, -12, -11],\n [6, 1, 2, -11, 0, 7, 7],\n [-2, -3, -11, 4, -10, -9, 9],\n [-8, -11, -9, -1, -7, 7, 2],\n [-6, -7, 9, 1, 5, -6, 12]]\nB =\n[[-7, 11, -7, -7, 7, 9, -3],\n [-9, -3, 9, -12, 10, 1, 5],\n [9, -4, -3, 6, -9, 8, 11],\n [0, -3, 0, 9, -1, 11, -10],\n [6, -4, 0, 9, -5, -9, 8],\n [-4, -6, 8, 10, -2, 12, 2],\n [0, -10, -10, 7, -2, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-849", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (7, 3) of the result:\nA =\n[[-8, 7, 11, 6, -1, 5],\n [-9, -5, 1, 3, 7, -5],\n [-8, -4, -11, -5, -6, 5],\n [8, 9, -4, -2, -1, -5],\n [10, 4, 6, -12, 9, -10],\n [1, 5, -11, -5, 4, -4],\n [-1, -6, -12, 8, 8, 1]]\nB =\n[[-11, 4, -6, 2, -4, -5],\n [-6, -9, -3, -6, 2, 0],\n [-5, -4, -4, -8, 8, -7],\n [3, 3, 11, 1, 6, 6],\n [3, -8, -12, -8, -4, 8],\n [-6, -3, 12, 11, 2, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "76", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 6) of the product of the following matrices:\nA =\n[[-1, 0, 5, 8, -3, 11, -12],\n [-9, 4, 8, 0, -11, 2, -1],\n [-11, -6, -9, 1, 5, -2, -10],\n [-10, 5, 10, -12, 0, 12, -8],\n [-9, -10, 6, 0, 3, 6, -12],\n [5, -6, -10, 9, 7, -3, 8]]\nB =\n[[-5, -11, -3, 8, 5, -1],\n [1, 12, -11, 4, 7, -1],\n [-6, 2, -11, 12, -1, 4],\n [-12, -5, -8, 12, -5, 9],\n [7, 1, -7, 5, -8, -3],\n [2, -10, -10, 4, 1, 11],\n [-3, 6, 3, 4, 7, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "69", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (6, 3) of the result:\nA =\n[[-12, -12, 4, 5, 4, -1],\n [-7, -6, 4, 3, -12, -2],\n [-3, 12, 12, -12, -2, 11],\n [-10, 10, 3, -12, -6, -2],\n [4, 6, 1, 10, 3, 4],\n [1, -4, 8, 0, -11, 7],\n [-5, -9, -8, 2, -11, 8]]\nB =\n[[10, -4, -5, -2, 9, 0],\n [12, -6, 6, 2, -1, 0],\n [-12, 8, 12, -5, 2, 9],\n [1, -5, 11, -10, -1, 2],\n [9, 3, -6, 5, 0, 10],\n [-7, -11, -11, 9, 6, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "56", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[12, -3, 4, 6, 3, 5, 6],\n [-11, -10, 2, 2, -1, 7, 0],\n [10, -11, 5, 2, 5, 0, -7],\n [-5, 3, 7, -10, 12, 4, 5],\n [-1, -6, -1, -10, -1, 12, 2],\n [4, -1, -4, 9, -12, 12, 3],\n [12, 2, -2, -8, -6, -10, 0]]\nB =\n[[11, 0, 6, -3, -6, 7],\n [8, 10, 2, 5, 7, -6],\n [-10, 7, -3, 2, -1, 3],\n [11, 6, -1, 12, 8, -11],\n [-5, 11, 0, -12, 12, -11],\n [1, -9, -7, 0, -4, 3],\n [-12, -4, 11, -6, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4513", "dataset": "MATH"}
{"messages": [{"content": "What is the trace (sum of diagonal elements) when matrix A is multiplied by matrix B?\nA =\n[[-6, 5, -4, 7, -11, -8, -4],\n [-9, 3, 8, 11, -10, -7, 4],\n [6, -5, -3, -3, 3, -7, 7],\n [-5, -10, -11, -3, -5, -1, 7],\n [-1, -4, 6, 12, 9, 2, 1],\n [-8, 5, -1, -7, 7, 8, -2],\n [2, 9, 10, -9, 11, 1, -8]]\nB =\n[[10, 9, 8, 10, -2, 7, -6],\n [0, 6, 11, -9, 7, -1, 1],\n [-12, -5, 3, 8, 12, 6, -8],\n [1, -1, -1, 7, -1, -2, 2],\n [-6, -3, -8, 2, -11, 9, 0],\n [1, 7, -7, -12, 2, -2, 0],\n [4, -9, 10, -2, 10, -12, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-273", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of all entries of the product of the following matrices:\nA =\n[[8, 9, -8, 10, 9, 8],\n [-8, 12, -10, -4, 0, -2],\n [5, -3, 10, -7, 11, -4],\n [0, 9, 5, -3, 2, -1],\n [7, 2, 1, 6, 6, 8],\n [-3, -12, 12, 7, -6, 10]]\nB =\n[[10, -2, 8, -9, -9, 8, 9],\n [-3, 10, -8, 3, -1, 12, 12],\n [-12, -8, 5, -9, 2, 10, -7],\n [-6, 6, 1, 2, 8, 3, 9],\n [2, -7, -7, 12, -7, -1, -11],\n [12, -9, 10, -7, 12, -3, 6]]\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[[11, -8, -7, 1, 2, 6, 6],\n [-6, 9, 5, -1, -5, 8, 10],\n [-10, 2, -3, 8, 6, -1, -10],\n [1, 4, -10, -6, 12, 4, 2],\n [7, -3, -6, 9, 7, -10, 9],\n [2, 7, -8, -11, -4, 5, 0]]\nB =\n[[7, 11, -6, -9, -5, -7],\n [11, -9, -8, 7, 10, 7],\n [8, -4, -5, -11, -6, 5],\n [-3, -10, 4, -11, -10, -8],\n [0, 0, -7, 1, 10, -8],\n [8, 11, -12, -4, -10, -7],\n [-9, -11, 3, -7, 1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4162", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the value at position (3, 2) of the result:\nA =\n[[11, -9, 11, -6, 4, -8, 1],\n [3, -5, 3, -7, 12, -2, 10],\n [-11, -12, -4, -8, -11, 1, 7],\n [0, -1, 9, -4, 11, -7, -9],\n [-3, -8, -9, 7, 11, -9, 0],\n [3, -2, 6, 5, -12, 8, -9]]\nB =\n[[-4, -4, -2, -8, 8, -7, 7],\n [-7, -5, 8, 11, 11, 6, 9],\n [-12, -8, 10, 8, 6, -11, 3],\n [-11, -4, 5, 3, -6, -4, -1],\n [6, 10, -12, -7, -11, 4, 8],\n [1, 0, 9, -2, 3, 5, 7],\n [-10, -12, 1, 4, -10, -1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-26", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-11, -1, 8, -8, 10, 3],\n [-8, -10, -7, 6, -1, -5],\n [-7, 1, 10, -10, -2, -6],\n [-4, 11, -2, 0, 5, -3],\n [-11, -6, 2, -3, -1, 7],\n [12, 9, -4, 6, 9, -7]]\nB =\n[[11, 10, 6, -12, -11, 2],\n [-2, 5, -12, -9, 9, -9],\n [-9, 12, 5, -12, -6, 1],\n [3, 2, -8, 0, -8, 5],\n [9, -8, -8, -7, 1, -11],\n [2, 3, -8, 3, -12, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3766", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-12, -6, -7, -5, -8, 2],\n [9, 7, 3, 4, -2, 10],\n [-11, -12, 4, -12, -11, 4],\n [-9, -1, -3, -3, 2, -2],\n [-6, -3, 6, 12, 5, -11],\n [-6, 12, 1, 9, -2, -12]]\nB =\n[[9, 7, -8, -9, 1, -10, 5],\n [5, -9, -10, 9, -3, 3, -10],\n [6, 7, 2, -8, -2, -4, 0],\n [-2, 8, 1, -12, -4, 0, -11],\n [-9, 3, -3, -7, -4, -11, 12],\n [12, -12, -1, 9, 9, 12, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "86", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[3, -11, 0, -5, -12, -8, -3],\n [-10, -2, 9, -8, -1, -1, 0],\n [1, -9, -10, 4, -5, 3, -2],\n [-8, 3, 11, -4, 0, -5, 9],\n [11, -8, -4, -7, -11, -6, 4],\n [-1, -12, 2, 11, 8, -2, -3],\n [3, -4, -1, 9, 2, 3, -12]]\nB =\n[[-7, 0, -12, 0, -8, -10],\n [-1, -3, -4, 4, -7, 1],\n [-10, 12, 5, -6, -4, 2],\n [6, 3, 6, 6, 4, 12],\n [12, -7, 12, 12, -12, 6],\n [2, -10, 4, -7, -9, -5],\n [9, -9, 8, -11, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "472", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (2, 2) when matrix A is multiplied by matrix B?\nA =\n[[-12, -1, 10, -3, -1, 6, -10],\n [9, 6, 10, -6, 8, -12, 0],\n [-4, 3, 5, 2, 7, 2, 2],\n [-3, 5, 2, -1, -12, 0, 4],\n [4, -6, -2, -1, -4, 2, -12],\n [9, -2, -8, 6, 5, 5, 5]]\nB =\n[[10, 7, -6, 1, -12, 7],\n [-4, 3, 10, -7, -6, 5],\n [-12, 12, 3, 5, 5, 6],\n [0, 6, -10, 7, 4, -2],\n [4, -1, -1, 7, 3, -12],\n [7, 0, -11, 3, -6, 9],\n [-11, 5, 4, 3, 7, 5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "157", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[8, 7, 3, -12, 8, -8, 2],\n [0, -8, 5, 7, -8, 3, -2],\n [-2, 9, 10, -10, 6, -3, -11],\n [12, 4, -10, -10, -5, 3, -1],\n [9, 6, -12, 6, -9, 4, 6],\n [-9, 2, -6, 7, 4, 12, 9],\n [-4, -6, -9, 4, 2, 10, -4]]\nB =\n[[3, -7, 4, 12, -6, 4, 1],\n [2, 7, 8, 5, 6, 5, 1],\n [7, 10, -8, -6, -1, 4, 6],\n [3, -11, -1, 4, 8, -10, -5],\n [-8, 8, 10, 11, 4, 8, 12],\n [12, 1, 10, 1, -9, 2, -11],\n [8, -9, 4, 10, -10, 9, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "514", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[3, -1, 7, -10, 12, -8],\n [3, -6, 7, 3, 4, -11],\n [-1, 0, -8, 3, -5, 11],\n [1, -5, 12, 5, 7, -1],\n [-2, 3, 9, 2, 0, 9],\n [8, 5, 11, -12, -12, -12]]\nB =\n[[-4, 8, 1, 5, -12, 7, -2],\n [-11, 6, -11, 11, 6, -11, -7],\n [10, 2, 12, -2, 3, 7, 8],\n [9, -10, -10, 6, 8, -2, -7],\n [12, -4, -8, 11, -6, 7, -12],\n [-10, -2, 8, -3, 0, -10, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1906", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (3, 2) when matrix A is multiplied by matrix B?\nA =\n[[7, -4, 12, -2, -4, 0],\n [-4, 1, 3, 4, 12, 2],\n [-2, -1, -2, 5, 11, 12],\n [-1, -5, 12, 8, -3, 10],\n [-10, 7, -9, 0, 7, -5],\n [-11, -11, 8, -7, 7, -6]]\nB =\n[[-9, -5, 5, -3, 7, -2, -6],\n [-8, -2, 5, 3, 6, 7, -8],\n [-6, -10, 12, -3, 6, -8, -8],\n [10, 9, -2, 6, -1, 4, 9],\n [9, 7, 2, 5, -4, 9, 4],\n [11, 10, -2, -7, -1, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "274", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 3) of the product matrix AB given:\nA =\n[[-3, 0, -8, -9, -6, 2],\n [-11, 4, 10, 11, 8, -5],\n [3, 7, 11, -10, 10, 9],\n [4, -8, 1, 1, 1, -2],\n [7, 0, 9, -4, 7, -11],\n [-1, -5, 3, -12, 3, -7]]\nB =\n[[7, -7, -10, -4, 6, -10],\n [8, -6, 1, 9, 1, 10],\n [12, -10, -8, -8, 6, -3],\n [-4, 3, -4, -7, -8, -9],\n [7, 8, 5, 3, 11, -6],\n [1, 10, 4, -5, -2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-135", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, -4, -7, -5, 4, 9],\n [0, 0, 4, 6, -11, 5],\n [-9, -6, 3, 6, 2, 10],\n [12, 1, 0, 7, -6, 2],\n [-12, -11, 11, -10, 8, 11],\n [-8, 3, 4, 5, 3, -2]]\nB =\n[[-10, -3, 5, 3, -4, 8],\n [-12, -2, -2, 0, -5, 6],\n [-4, 12, -7, -9, -4, 12],\n [2, 5, 9, -9, 6, 3],\n [-7, -1, 2, 2, 2, 3],\n [1, -5, 12, 12, -11, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2712", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-5, -2, 3, -5, -8, 7, 12],\n [-9, -1, -3, -9, 6, -3, 6],\n [6, -2, 10, 0, 8, 12, -11],\n [1, 7, 5, 3, 11, -9, -12],\n [-10, -1, 10, -10, 8, 5, 11],\n [-9, 4, -1, 7, -5, 12, 4]]\nB =\n[[1, 9, 7, -2, -5, -12],\n [8, 4, 7, 5, -3, -4],\n [-11, 7, -10, -12, -12, 5],\n [-5, 5, -12, 9, 4, -3],\n [-4, 9, -3, 9, -12, 3],\n [-6, -10, 4, -4, 2, -5],\n [-9, 6, -11, -11, 0, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-1233", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 3) of the product of the following matrices:\nA =\n[[-12, 10, 2, -11, 3, 9],\n [1, -7, -2, 1, 7, -9],\n [4, 3, -7, -5, 0, -9],\n [3, 4, -9, 3, -11, 7],\n [11, 0, -10, 8, -3, 5],\n [12, -10, -12, 10, -2, -8],\n [12, -10, -2, -12, 2, -6]]\nB =\n[[11, -11, 2, 5, 12, -9, -12],\n [-4, -4, 9, -7, 1, -4, -11],\n [-4, 0, 7, 7, 12, 10, -1],\n [-3, -8, 11, -1, -12, 10, -9],\n [0, 5, -11, -2, 12, 9, -9],\n [5, -6, -4, -11, -9, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-33", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-12, -10, -12, 7, 9, 8, 12],\n [0, 1, -1, -2, 5, -11, -10],\n [-9, -4, -2, 9, 12, 8, 12],\n [-4, 4, 2, -4, -6, -5, -10],\n [-12, -9, 4, -12, -9, -5, 4],\n [-1, 12, 9, 3, -8, 12, 12]]\nB =\n[[12, 0, 0, -1, -10, -1],\n [11, 7, 7, 10, 11, 7],\n [-2, -3, 3, -7, 4, 0],\n [5, -1, -8, 7, 3, -10],\n [3, -2, 1, 9, 9, 0],\n [-2, 1, -3, 11, 5, -6],\n [10, 5, 9, 8, -11, 12]]\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, 2, -7, 8, 0, 12],\n [-8, 9, -10, 12, 2, 11, -4],\n [4, 4, 0, 5, 7, -8, 0],\n [-6, -9, 0, 4, -5, -10, 12],\n [3, -11, -12, -5, -10, 4, 6],\n [11, 3, 7, -3, 10, 11, 2]]\nB =\n[[-6, 3, 4, 7, 0, -3, -4],\n [-6, -1, -12, 11, 3, -9, 1],\n [10, 9, 10, 4, -1, 2, 9],\n [-1, -10, -3, 7, 4, 1, 0],\n [0, -5, 1, -11, 6, 10, -11],\n [-1, 7, -1, 10, 6, 3, -11],\n [-5, -11, -3, 3, -6, 6, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3878", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (3, 4) of the product of the following matrices:\nA =\n[[9, -10, 4, -5, -9, -12],\n [5, 9, -12, -4, 1, -6],\n [-5, -5, 9, 11, 10, -12],\n [-10, -4, -5, -8, -12, -11],\n [-3, 1, 2, -3, -4, -1],\n [-3, 11, -4, 5, 6, 6]]\nB =\n[[4, -11, -3, -8, -6, -7],\n [-11, -5, -9, 5, -9, -5],\n [4, 12, 1, -5, 1, -5],\n [12, 1, 10, -2, -4, 4],\n [4, -1, 7, -11, 11, 4],\n [7, -2, -4, 5, -7, -9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-222", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[1, 7, 9, -3, -9, 2, -4],\n [-1, -5, 11, -8, 3, 9, 2],\n [4, -12, 12, -1, 7, 6, -8],\n [2, -4, 12, -10, -1, 10, 6],\n [2, -10, 7, 5, 9, 3, 2],\n [-8, -3, -3, 0, 5, -3, 3],\n [-11, 5, -9, 6, 12, -8, 4]]\nB =\n[[-11, 2, 10, 11, -7, 10, 5],\n [1, -1, -7, 9, 7, 7, 5],\n [-10, -7, -9, 6, 4, -2, 1],\n [-2, 6, 4, -9, -1, -9, -1],\n [4, 2, -6, 8, -12, -8, -1],\n [-6, 9, 2, -8, 11, -4, -12],\n [-7, 3, 2, -11, 0, 11, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4587", "dataset": "MATH"}
{"messages": [{"content": "Find the value at position (4, 4) of the product of the following matrices:\nA =\n[[3, -12, 8, -3, 3, 0, 8],\n [-11, -9, 9, -12, -2, -4, 10],\n [-7, -12, -5, -5, -9, -9, -12],\n [12, -5, 10, 5, 10, 7, 6],\n [-2, 7, -3, -7, -6, -11, 10],\n [5, 5, 4, 0, 2, -2, -6]]\nB =\n[[4, 6, -5, 4, 3, 1],\n [9, 5, -4, 5, 9, 7],\n [12, 3, 4, 4, 3, 6],\n [-2, -7, 6, -6, -4, -1],\n [-11, -9, -10, 9, 8, -1],\n [-10, -4, -1, -5, 6, -8],\n [8, -8, -5, -10, 6, 11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "28", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of all entries of the product matrix AB given:\nA =\n[[-4, 8, 11, 1, 8, 7, -11],\n [2, -9, -11, 10, 10, -4, -9],\n [-8, -2, -9, -9, 2, -8, -10],\n [3, 12, 10, -12, -12, -12, -10],\n [-4, 0, 11, 0, 12, 8, 10],\n [0, 12, 8, -5, -5, 6, -8],\n [11, -3, 6, -10, 9, -6, 10]]\nB =\n[[-7, -6, -6, 7, -5, 11],\n [-11, 2, -3, 8, 2, -11],\n [-10, 6, -8, 11, 6, -6],\n [8, 1, -1, -3, -3, -9],\n [5, -7, 7, -9, -8, 1],\n [-4, 2, -12, 8, 8, 0],\n [-11, 2, 2, 3, -10, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "25", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 4) of the product matrix AB given:\nA =\n[[7, -12, 1, -10, 4, 4, -4],\n [7, 7, -9, -2, 2, 12, 0],\n [11, 7, -1, 2, -7, 5, 9],\n [4, 8, 11, 4, -2, 5, -10],\n [10, 11, -9, 0, 11, -12, 6],\n [7, -8, 0, 3, 3, -2, -4]]\nB =\n[[5, 2, 0, -6, -10, -1],\n [5, -4, -10, 11, -12, 8],\n [8, 9, -6, 6, -1, 1],\n [0, -8, -1, -5, -7, 5],\n [-6, 6, 2, -3, -4, 7],\n [3, 7, -9, -3, -3, -5],\n [-12, -10, 11, -1, -6, 9]]\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[[10, -12, 11, 7, -12, -9],\n [5, -8, -12, -12, -8, 5],\n [-4, -3, -6, 2, 1, -9],\n [1, -6, -5, 11, -5, -8],\n [10, -2, 10, -11, 2, 6],\n [5, 2, 6, 12, -6, -9],\n [1, -5, 10, -3, 0, -7]]\nB =\n[[-9, -8, -3, 11, 0, 6],\n [-2, 6, -8, 12, -8, -12],\n [8, -4, -6, -4, -3, 8],\n [-10, 5, -4, -8, -2, -12],\n [-11, 5, 7, 1, 9, -5],\n [6, 1, 1, 9, 7, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-633", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[-4, 12, 1, -1, 0, -7],\n [1, 2, -11, 5, -3, 12],\n [8, -6, 9, 12, -8, -5],\n [7, 0, -6, 12, 5, -4],\n [-1, 11, 4, -3, -6, 8],\n [-8, 10, 2, 3, 3, -3],\n [1, 7, 4, -7, -12, -2]]\nB =\n[[-12, -1, 11, 7, 2, -8, -3],\n [4, -3, -6, 5, -7, -4, -11],\n [9, -1, -8, 2, 0, -11, 2],\n [1, -4, 3, -11, -12, 12, -4],\n [12, 11, 7, 1, 12, -11, -12],\n [-3, 10, 9, 6, 5, 11, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "52", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[9, 7, -2, -4, 2, 3, 0],\n [8, -7, 12, 2, 2, 9, 5],\n [-2, -12, 1, 12, -11, -11, 7],\n [-3, 3, -10, 1, 10, -6, 6],\n [6, 12, 10, 6, -10, 0, 6],\n [12, 1, -5, 10, -5, 4, 12],\n [8, -8, -8, 12, 8, -11, 9]]\nB =\n[[10, -2, 2, 10, -6, -2],\n [-11, -7, -4, 4, 6, -1],\n [-7, 3, 10, -11, 11, -2],\n [2, -7, 12, -4, -4, 12],\n [5, 0, 10, -8, 12, 4],\n [10, 8, -2, -4, 10, 7],\n [11, -4, -4, -3, 7, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "489", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (5, 1) of the product matrix AB given:\nA =\n[[-9, -12, -7, 11, -7, -1],\n [-10, 0, 11, -3, -4, 4],\n [-2, -7, -3, 11, 5, 1],\n [-9, 0, -12, 7, -11, -10],\n [7, -10, -7, -6, -2, -6],\n [4, 8, 6, -1, -12, -12],\n [5, -3, 11, 7, -10, 1]]\nB =\n[[-5, 3, 5, -4, -9, 12, -12],\n [8, 10, 1, -2, -9, 8, 3],\n [-4, 9, 1, -7, -11, -12, 7],\n [6, 10, -6, 9, 2, -8, -10],\n [2, -9, -8, -9, -10, -11, -8],\n [5, -11, 2, 5, 5, -5, -1]]\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[[10, -4, 6, -12, 9, 12, 4],\n [-12, 7, 4, 12, -7, -8, -8],\n [-2, -2, -2, -1, -1, -11, -10],\n [-6, 7, 1, 9, 3, 11, 1],\n [4, 2, -2, 0, -7, 4, -1],\n [11, -9, 8, -3, 5, 6, -6]]\nB =\n[[10, -1, -2, 11, -10, -11, -11],\n [9, -11, 2, -9, 12, -10, 4],\n [-11, -3, -6, -4, 12, 7, 2],\n [-5, 4, -2, 3, 9, 11, 5],\n [11, -9, 5, 7, -5, 2, 0],\n [-9, 1, 2, 2, 11, 10, -8],\n [11, 2, 5, -10, 7, -3, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "75", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-8, 2, -12, -12, 3, 4, 1],\n [2, 1, 8, -11, -10, 11, -1],\n [11, -11, -5, -1, -4, 1, -7],\n [4, -2, 6, 8, 0, -10, -10],\n [12, 8, 1, -5, -6, -9, -10],\n [6, -11, -8, -1, -11, 5, 2],\n [3, -1, -1, -9, 9, 9, -5]]\nB =\n[[-2, 9, 9, -9, -1, 8, 10],\n [-3, -4, 3, -9, 4, 9, 5],\n [-6, 9, -4, -7, 9, 7, 12],\n [-10, 2, -12, 11, 11, 4, -4],\n [-11, -7, 12, 3, 0, -7, 10],\n [2, 12, -8, 4, -4, 0, -6],\n [3, -5, 5, -8, 0, 11, 10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-112", "dataset": "MATH"}
{"messages": [{"content": "Find the trace (sum of diagonal elements) of the product of the following matrices:\nA =\n[[-6, 7, 0, -11, 6, 1],\n [1, -4, -9, 4, 7, 3],\n [11, -5, 2, 5, -3, -9],\n [-6, 11, 4, -5, -12, 9],\n [8, -3, 2, 10, -7, -3],\n [-12, -7, 0, -10, -1, 2]]\nB =\n[[9, -6, -7, -4, 3, -1],\n [-4, -5, -8, -10, -9, -2],\n [-3, -5, -4, 0, 11, 6],\n [10, -2, 11, -10, -12, 10],\n [1, 6, -12, 10, -1, 1],\n [2, -6, -9, 1, 5, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-253", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[1, 8, -2, 12, -7, 2, -3],\n [-1, -4, 4, 5, -2, -7, 6],\n [-11, 9, 10, 7, 0, -4, -1],\n [3, 6, -11, 3, -8, 12, 4],\n [-7, 11, -6, -7, -10, 12, 8],\n [2, 3, 4, -4, -4, 4, -6],\n [12, -11, -7, -3, 4, 1, -10]]\nB =\n[[3, 3, -8, 3, 10, -8, 11],\n [-8, -7, 5, -1, 8, -6, 4],\n [-3, -4, -4, 11, -2, 12, 1],\n [-8, -6, 4, 10, -4, 6, 12],\n [8, 0, -4, 0, 1, -5, 1],\n [0, 10, -3, 9, -11, -1, 3],\n [-6, -11, 3, 9, -7, 3, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4841", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (4, 6) when matrix A is multiplied by matrix B?\nA =\n[[0, -3, 7, -4, -11, 8, 3],\n [-10, 9, -11, -3, 12, 7, 10],\n [-8, -5, -1, -9, 1, 10, 2],\n [8, -10, 11, 9, 2, -9, 2],\n [12, -4, 5, 0, -4, -9, 12],\n [0, -3, -5, 1, 3, 6, -6]]\nB =\n[[-1, 0, 2, 2, 5, -11, 1],\n [7, -6, 7, -11, -11, -8, -10],\n [-10, -12, 6, 7, -1, 9, -7],\n [8, 7, -7, 0, 8, -3, -12],\n [3, 1, 5, 1, 12, -3, 7],\n [9, -8, -11, 4, -12, -12, -7],\n [-6, -6, 12, 3, 6, -4, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "158", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[5, -6, 5, -3, 7, -11],\n [-2, 5, -2, 1, 0, -12],\n [12, -3, 2, 6, 4, -3],\n [9, -5, 10, -6, 5, -9],\n [-7, -11, 0, 8, -1, -8],\n [6, -11, -2, 10, -5, -9]]\nB =\n[[-9, -2, 1, -4, 7, 1, -10],\n [0, 1, 4, -10, 2, 8, -11],\n [8, 12, -3, 9, 2, 6, 8],\n [-1, 4, 3, -5, 12, -8, 12],\n [11, 2, -5, 5, 8, -5, 6],\n [4, -9, -9, 7, 7, -4, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1012", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, -4, 10, 0, 8, 5, -3],\n [-9, 2, -9, 7, -2, -1, 0],\n [-11, -5, -9, -4, -11, 10, -8],\n [-8, 10, -9, 6, -4, -1, -10],\n [-8, -11, 10, 0, -6, 8, -5],\n [12, 7, -2, -1, 5, 5, 3]]\nB =\n[[7, 9, -7, 5, 4, 5],\n [11, 8, -10, -4, -6, 11],\n [9, -6, 6, -12, -12, -12],\n [-2, 10, 5, 0, 9, 2],\n [4, -3, -5, 8, -4, 6],\n [5, -5, -8, 1, 0, -12],\n [-2, -1, -7, -1, -10, -5]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-359", "dataset": "MATH"}
{"messages": [{"content": "Compute the trace (sum of diagonal elements) of the product matrix AB given:\nA =\n[[9, -11, -7, -10, -6, 3, 4],\n [-1, 2, 1, -12, -1, 7, 10],\n [7, 1, 3, 12, 2, -5, 8],\n [-12, 0, -10, 11, -1, -6, -5],\n [4, 5, -3, 2, 10, 8, 8],\n [-3, -4, -12, 8, 10, -8, 2]]\nB =\n[[1, -2, 10, 4, 8, 1],\n [-7, 9, -9, 0, 8, 11],\n [9, 4, 8, -1, 10, -1],\n [11, -9, -11, 7, -7, -7],\n [9, -12, -2, 10, 10, 8],\n [-1, -9, 3, 6, -2, -2],\n [0, 0, -5, -2, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-25", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[11, -10, -2, 8, -5, -3, 9],\n [5, 4, -6, 5, -3, 7, 9],\n [0, -6, 10, -6, 7, -2, -3],\n [-1, 0, -1, -1, -7, -10, -5],\n [4, 0, -5, -8, 11, -9, 3],\n [5, -9, -2, -5, -12, 0, 8],\n [9, -9, -9, -9, 0, 6, 3]]\nB =\n[[1, -3, -8, 2, -7, 6, 1],\n [-2, -10, 12, -11, -7, 11, -5],\n [-12, 1, 3, 4, -5, 4, 0],\n [6, -4, -10, 5, -12, 0, 0],\n [-1, -12, -3, 6, 9, -6, 1],\n [-7, -7, -4, 7, 3, -8, 2],\n [-12, -9, -3, -7, 10, -11, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4015", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[9, 6, 10, -4, -2, -9],\n [11, -3, -7, -10, 0, 6],\n [-10, 7, 5, -1, -1, 8],\n [-1, 11, -6, -4, -1, 6],\n [-9, 11, -3, 6, 4, 5],\n [-3, 11, -1, 10, 7, -5],\n [6, -12, -9, -7, 9, -9]]\nB =\n[[3, -5, -4, 2, 5, -10],\n [11, 4, -12, -6, -3, 2],\n [10, 0, 10, -8, -6, 1],\n [1, -4, 9, -7, 6, 2],\n [3, 10, 9, -1, 8, -10],\n [-10, -7, 9, 8, 6, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3612", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[3, 5, -9, 7, 0, 0, -11],\n [-4, -2, -10, 4, -1, -8, 1],\n [6, 9, 4, -9, -12, 4, -3],\n [-5, -2, 7, -3, 6, -7, -2],\n [3, -3, 12, 9, -12, -5, 4],\n [6, -4, 7, -5, -4, 3, 1]]\nB =\n[[11, -7, -4, -2, 9, 2, 2],\n [-8, -5, 7, -10, 7, 12, -9],\n [-6, 4, -1, -7, 11, 10, 8],\n [-9, 5, 3, -12, 4, -8, 12],\n [10, 5, -7, 10, 0, -5, 12],\n [6, 3, 5, -6, 11, -4, 8],\n [12, -12, -4, -3, 8, 5, 9]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4351", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of all entries of the result:\nA =\n[[-12, 0, 1, 10, -6, -5],\n [-12, -11, -2, -12, 11, -1],\n [-5, -10, -3, 2, -1, -11],\n [12, -8, -4, 5, -7, -2],\n [1, -12, 10, -9, -6, -4],\n [4, 4, -2, 10, -1, 2],\n [-11, -5, 7, 10, -11, 11]]\nB =\n[[-7, -12, 12, 5, -9, 12],\n [-5, -5, 1, 7, 1, -12],\n [7, -10, 2, 6, -12, 12],\n [-10, 7, -12, 6, 4, 0],\n [7, 3, -1, -6, 11, 11],\n [4, -2, 9, -5, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-107", "dataset": "MATH"}
{"messages": [{"content": "Find the sum of absolute values of all entries of the product of the following matrices:\nA =\n[[-3, 11, 12, -5, -8, 4],\n [0, 12, -3, -3, 8, 10],\n [-1, -1, -6, -2, 7, 11],\n [12, -1, -9, 5, -3, 7],\n [-11, -12, 1, 4, -9, 12],\n [-4, -6, 8, 9, 4, -10]]\nB =\n[[-12, -3, -8, -9, 6, -7, -7],\n [-4, 7, -4, 2, 7, -5, 11],\n [-11, -3, 1, 11, -11, 11, 9],\n [0, 6, -6, -1, -7, -10, -8],\n [-9, 1, -7, 4, 4, 11, 0],\n [11, -1, 12, 11, -11, 1, -8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4581", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-5, 2, -4, 3, 0, 9],\n [2, -9, 12, 3, -1, 7],\n [9, -1, 2, -8, -12, 7],\n [-10, -5, -6, 0, -3, 4],\n [-2, -5, 10, 2, -1, 5],\n [-3, -1, -9, 2, 5, 12]]\nB =\n[[0, 11, 4, -12, 11, -8, 4],\n [7, 5, -4, -3, 9, 12, 4],\n [-12, -9, 5, 2, 2, -12, 9],\n [11, -12, -2, -2, -7, -12, 1],\n [11, -7, 4, -4, 4, 12, 1],\n [6, -5, 11, 10, -1, -11, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4989", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[8, 0, -8, 5, -12, -8, 8],\n [-1, 6, 11, -7, -11, -11, 7],\n [0, 1, -7, -1, 12, 0, 11],\n [-5, 1, 5, -9, -7, 9, -7],\n [2, 11, 11, 0, -6, 0, 8],\n [-7, -7, 1, -10, -2, 0, -10]]\nB =\n[[-1, 10, 9, 8, 9, 9, 7],\n [-8, 0, 10, -2, 4, -3, -1],\n [-7, -8, 9, -12, 7, 11, 7],\n [2, 3, -3, 11, -5, -11, 9],\n [-6, 10, -12, 7, 10, -7, 0],\n [-1, 6, 4, -8, 11, 2, 1],\n [-10, -8, 12, 1, -5, -2, 12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6352", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 0, -8, 0, -10, 0],\n [-2, -4, -9, 4, 2, 5],\n [3, 11, -11, -7, -1, -8],\n [12, 11, 4, 6, -1, -8],\n [11, -6, -11, -1, 10, -8],\n [9, -5, -8, 3, -4, -12],\n [-8, -12, 4, -12, 2, -8]]\nB =\n[[-4, 5, -7, 8, -1, 1],\n [-6, -6, 6, -7, -10, 3],\n [3, 5, -8, 7, -9, 3],\n [-9, 11, 0, 1, 4, -10],\n [12, -10, 4, 0, 8, 7],\n [-3, 11, -1, -4, 8, -12]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4009", "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, 6, -7, 2, 5, -8],\n [-5, -2, -8, 8, -5, -2],\n [8, 7, -3, -4, -11, 4],\n [-9, -1, 6, 12, 6, 6],\n [-6, 0, -11, -5, -7, -2],\n [-4, -5, 7, 11, 7, 2],\n [8, -2, 2, 10, 9, -8]]\nB =\n[[3, -11, 2, -8, 2, 10, -2],\n [-7, -7, -8, 12, -12, 7, -6],\n [3, 4, 2, 7, 9, -3, -5],\n [10, -4, 10, 6, -3, 7, -10],\n [12, -2, -2, -5, -3, -4, -3],\n [-3, 5, -8, -8, -6, 7, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4119", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 5) of the product matrix AB given:\nA =\n[[-5, 4, -7, 12, 0, 0],\n [0, 3, -11, -8, -3, -3],\n [12, -2, 7, 12, 11, -4],\n [0, 0, -11, -8, 12, -8],\n [-1, 7, -5, -7, 5, -5],\n [8, 10, 7, 12, -11, -3]]\nB =\n[[12, 7, -7, -8, 3, -10, 10],\n [-9, -12, 1, 1, 11, 6, -7],\n [-1, 5, -4, 7, 10, 12, 0],\n [6, 0, 6, 6, 8, -3, -7],\n [-10, 3, -4, 4, 10, -4, -8],\n [6, 2, -3, -9, 11, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "55", "dataset": "MATH"}
{"messages": [{"content": "Calculate the matrix product AB and find the sum of absolute values of all entries of the result:\nA =\n[[2, 6, -8, -1, -10, 2],\n [2, -1, 2, -7, 4, 10],\n [2, 2, -2, 9, -1, 9],\n [6, -12, 3, -2, -12, 10],\n [-9, -7, -9, 11, 12, -11],\n [4, -12, 0, -1, 10, -11]]\nB =\n[[6, -1, -9, 12, 5, -11, -12],\n [11, 0, 11, -8, 6, -12, -11],\n [1, -4, -5, -2, -9, -10, -8],\n [11, 1, -3, -7, -3, -2, 7],\n [-5, -9, 8, 5, 7, 1, -10],\n [-1, 2, 11, -5, 1, 10, -7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3694", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[12, 1, -9, 7, -7, 3],\n [4, -11, 5, 0, 7, 3],\n [8, 0, 1, 5, -5, -8],\n [11, -4, 2, -4, 7, -3],\n [5, 1, 5, 3, -8, -3],\n [7, -7, -4, 10, 3, -2]]\nB =\n[[7, 10, 5, -8, -4, -2, -4],\n [-9, -5, -8, -10, 9, -9, 3],\n [0, -10, -9, -12, -5, -4, 9],\n [-8, -1, -4, -9, 4, -1, 0],\n [-2, 10, 4, 2, -4, -9, -1],\n [-10, 7, 4, 9, -6, -6, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "309", "dataset": "MATH"}
{"messages": [{"content": "Compute the sum of absolute values of all entries of the product matrix AB given:\nA =\n[[-1, 8, 9, -3, -5, -4, 1],\n [-7, 6, 9, 2, 7, 7, -6],\n [9, 11, -5, -10, -2, -9, -11],\n [-12, -6, 11, -1, -5, 0, -7],\n [-6, 11, 7, 11, -7, -1, -6],\n [-3, -6, 11, 2, 8, -11, -5]]\nB =\n[[4, 3, 0, 5, 8, -9],\n [-1, -2, -11, 7, 10, 8],\n [3, 0, -9, -11, 5, -12],\n [9, -7, 7, 12, 7, 6],\n [-3, -4, 4, 2, -11, 4],\n [-6, 3, 4, -12, 9, 9],\n [3, 8, -9, 3, 11, -10]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3396", "dataset": "MATH"}
{"messages": [{"content": "What is the value at position (7, 3) when matrix A is multiplied by matrix B?\nA =\n[[-12, 4, -8, -10, 6, -2, 2],\n [-11, 12, 9, -6, 5, -12, -5],\n [3, 2, -9, 0, 12, -1, -4],\n [0, -2, -1, -9, -10, -8, -7],\n [-9, -12, 10, -8, -11, 1, -2],\n [-4, -5, -6, 2, -4, -3, 5],\n [6, 12, 9, -11, 9, 1, 8]]\nB =\n[[-3, -8, -8, -11, 9, 0, -6],\n [12, 8, 2, 8, 2, 12, -7],\n [-6, -9, -9, -12, -2, -8, -11],\n [-8, -8, 7, 0, -1, -3, 0],\n [-4, -8, -7, 4, -8, 12, -2],\n [-7, -4, -1, -9, 5, 2, 12],\n [-9, 1, 5, 4, -11, 8, 6]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-206", "dataset": "MATH"}
{"messages": [{"content": "Compute the value at position (1, 6) of the product matrix AB given:\nA =\n[[9, 1, -9, -11, 0, -6],\n [9, -5, -3, 8, -10, -9],\n [8, 8, -7, 12, 7, -6],\n [-6, 9, 4, 12, -7, 6],\n [5, -1, 6, -2, 4, -10],\n [2, -8, -9, -12, 8, -10]]\nB =\n[[-3, 0, -6, 1, 0, 11, 8],\n [11, 9, 9, -8, -2, 9, 1],\n [-12, 11, -8, 11, -10, 9, -12],\n [4, 7, -1, 0, -7, -10, -2],\n [-2, 8, -3, -2, 3, 7, -3],\n [-1, 6, -4, -9, 2, 10, 8]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "77", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-6, -8, 6, 9, 12, 2],\n [-7, 7, 2, 4, 6, -10],\n [5, -3, 2, 5, 11, 2],\n [11, 6, 7, -8, -2, -4],\n [-8, -2, 9, -6, -11, 7],\n [9, 7, 8, 6, 5, 3]]\nB =\n[[-12, -10, -4, 4, -5, 8, 3],\n [-1, -9, -8, -6, 11, 5, 9],\n [7, 1, -5, 0, -9, -1, -10],\n [-8, -9, 2, -8, -4, 1, 3],\n [-10, 2, 5, 5, 1, 12, -6],\n [7, -7, 3, 9, 6, -4, 7]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "-676", "dataset": "MATH"}
{"messages": [{"content": "What is the sum of all entries when matrix A is multiplied by matrix B?\nA =\n[[-12, 5, 8, 1, 1, -5],\n [10, 12, 4, 5, 2, -3],\n [7, 3, -6, 4, -8, 5],\n [1, 5, 5, 2, 12, -2],\n [-8, 3, -5, 0, 9, 4],\n [-4, 2, -6, 5, 1, -5],\n [-11, 5, -9, 11, 10, -11]]\nB =\n[[-3, -7, -2, 7, -3, 4],\n [11, -5, -7, 3, -3, 10],\n [6, 12, -9, -11, 7, -11],\n [-1, -9, 3, -11, 3, 2],\n [1, -2, 2, 11, -7, 11],\n [3, -12, 12, -2, 1, -11]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "658", "dataset": "MATH"}